diff --git a/examples/frame_00068_rgb.jpg b/examples/frame_00068_rgb.jpg new file mode 100644 index 0000000..8b73151 Binary files /dev/null and b/examples/frame_00068_rgb.jpg differ diff --git a/examples/frame_00068_rgb_3dmm.mat b/examples/frame_00068_rgb_3dmm.mat new file mode 100644 index 0000000..8347c7c Binary files /dev/null and b/examples/frame_00068_rgb_3dmm.mat differ diff --git a/examples/frame_00068_rgb_3dmm_new.mat b/examples/frame_00068_rgb_3dmm_new.mat new file mode 100644 index 0000000..2c07da0 Binary files /dev/null and b/examples/frame_00068_rgb_3dmm_new.mat differ diff --git a/examples/frame_00068_rgb_landmark.mat b/examples/frame_00068_rgb_landmark.mat new file mode 100644 index 0000000..1d1ecbb Binary files /dev/null and b/examples/frame_00068_rgb_landmark.mat differ diff --git a/face_3dmm_fitting.py b/face_3dmm_fitting.py new file mode 100644 index 0000000..d1e6183 --- /dev/null +++ b/face_3dmm_fitting.py @@ -0,0 +1,82 @@ +import scipy.io as sio +import numpy as np +import os +import glob +from PIL import Image +from fitting_3dmm.FittingModel import FittingModel +from utility.param_parse import RotationMatrix + +face_mode_path = './models/' +#keypoints,mu_shape,segbin,segbin_tri,sigma,symlist,symlist_tri, tex, tri, w +bfm_model = sio.loadmat(face_mode_path + 'Model_Shape.mat')#The Basel Face Model +tri = bfm_model['tri'] +mu_shape = bfm_model['mu_shape'] +w = bfm_model['w'] +sigma = bfm_model['sigma'] +keypoints = bfm_model['keypoints'] + +#mu_exp, sigma_exp, w_exp +expression_model = sio.loadmat(face_mode_path + 'Model_Expression.mat') +mu_exp = expression_model['mu_exp'] +sigma_exp = expression_model['sigma_exp'] +w_exp = expression_model['w_exp'] + +mu = mu_shape + mu_exp + +#parallel parallel_face_contour +Modelplus_parallel = sio.loadmat(face_mode_path + 'Modelplus_parallel.mat') +parallel = Modelplus_parallel['parallel'] +parallel_face_contour = Modelplus_parallel['parallel_face_contour'] + +## Parameter +layer = 3 +layer_width = [0.2,0.5,0.8] + +base_path = '/data/zhoumi/datasets/IJB-A' + +img_folders = glob.glob(os.path.join(base_path, 'real/*')) + +for img_folder in img_folders: + dst_folder = img_folder.replace('real', 'real_3dmm') + if not os.path.exists(dst_folder): + os.mkdir(dst_folder) + + img_paths = glob.glob(os.path.join(img_folder, '*.jpg')) + for img_path in img_paths: + #load image, 3dmm parameters + mat_path = img_path.replace('.jpg', '_landmark.mat').replace('real', 'real_landmark') + + img = Image.open(img_path) + img = np.array(img) / 255.0 + + height, width, nChannels = img.shape + + if os.path.exists(mat_path): + landmarks = sio.loadmat(mat_path)['pts'] + pt2d = landmarks.T + + pt2d[1, :] = height + 1 - pt2d[1, :] + + + f, phi, gamma, theta, t3d, alpha, alpha_exp = FittingModel(pt2d, mu, w, sigma, w_exp, sigma_exp, tri, parallel, keypoints, img) + + Pose_Para = np.hstack([np.array([phi]), np.array([gamma]), np.array([theta]), t3d, np.array([f])]) + Shape_Para = alpha + Exp_Para = alpha_exp + + save_name = mat_path.replace('landmark', '3dmm') + print(save_name) + sio.savemat(save_name, {"Pose_Para" : Pose_Para, "Shape_Para" : Shape_Para, "Exp_Para" : Exp_Para, "img" : img, "pt2d" : pt2d}) + + # R = RotationMatrix(phi, gamma, theta) + + # express3d = mu_exp + np.dot(w_exp, alpha_exp) + # express3d = np.reshape(express3d, (int(express3d.shape[0] / 3), 3)).T + # shape3d = mu_shape + np.dot(w, alpha) + # shape3d = np.reshape(shape3d, (int(shape3d.shape[0] / 3), 3)).T + # vertex3d = shape3d + express3d + # + # ProjectVertex = np.dot(f * R, vertex3d) + np.tile(t3d, (vertex3d.shape[1], 1)).T + # ProjectVertex[1, :] = height + 1 - ProjectVertex[1, :] # Fitting结果，模型上每一点在图像上的位置 + + # sio.savemat('./new.mat', {'ProjectVertex' : ProjectVertex, "tri":tri}) \ No newline at end of file diff --git a/face_augment_pose.py b/face_augment_pose.py new file mode 100644 index 0000000..0599b4f --- /dev/null +++ b/face_augment_pose.py @@ -0,0 +1,226 @@ +import scipy.io as sio +import cv2 +import sys +import os +import glob +from utility.param_parse import * +from utility.ModelCompletionBFM import * +from PIL import Image +import cv2 +import numpy as np +from utility.display_face_model import DrawSolidHead +from utility.ImageMeshing import ImageMeshing +import matplotlib.pyplot as plt +from utility.ImageRotation import ImageRotation +from mesh.Zbuffer_mesh import ZBufferTri +from mesh.FaceFrontalization_mesh import FaceFrontalizationMapping, FaceFrontalizationFilling + +face_mode_path = './models/' + +#face_contour, face_contour_line, face_contour_front, face_contour_front_line +face_contour_trimed = sio.loadmat(face_mode_path + 'Model_face_contour_trimed.mat') +face_contour = face_contour_trimed['face_contour'] + +#keypointsfull_contour, parallelfull_contour +face_fullmod_contour = sio.loadmat(face_mode_path + 'Model_fullmod_contour.mat') +keypointsfull_contour = face_fullmod_contour['keypointsfull_contour'] +parallelfull_contour = face_fullmod_contour['parallelfull_contour'] + +#tri_mouth +face_tri_mouth = sio.loadmat(face_mode_path + 'Model_tri_mouth') + +#keypoints +face_keypoints = sio.loadmat(face_mode_path + 'Model_keypoints') +keypoints = face_keypoints['keypoints'] + +#keypoints,mu_shape,segbin,segbin_tri,sigma,symlist,symlist_tri, tex, tri, w +bfm_model = sio.loadmat(face_mode_path + 'Model_Shape.mat')#The Basel Face Model +tri = bfm_model['tri'] +mu_shape = bfm_model['mu_shape'] +w = bfm_model['w'] + +#mu_exp, sigma_exp, w_exp +expression_model = sio.loadmat(face_mode_path + 'Model_Expression.mat') +mu_exp = expression_model['mu_exp'] +sigma_exp = expression_model['sigma_exp'] +w_exp = expression_model['w_exp'] + +#Model_FWH, vertex_noear_BFM +FWH_model = sio.loadmat(face_mode_path + 'Model_FWH.mat') +Model_FWH = FWH_model['Model_FWH']#The Full Face Model +vertex_noear_BFM = FWH_model['vertex_noear_BFM'] +vertex_noear_BFM = np.transpose(vertex_noear_BFM) + +tri_mouth = face_tri_mouth['tri_mouth'] + +tri_plus = np.hstack((tri, tri_mouth)) +layer_width = [0.1, 0.15, 0.2, 0.25, 0.3] +mu = mu_shape + mu_exp + +base_dir = '/data/zhoumi/datasets/IJB-A' +img_folders = glob.glob(os.path.join(base_dir, 'real/*')) + +for img_folder in img_folders: + dst_folder = img_folder.replace('real', 'syn') + if not os.path.exists(dst_folder): + os.mkdir(dst_folder) + + img_paths = glob.glob(os.path.join(img_folder, '*.jpg')) + for img_path in img_paths: + #load image, 3dmm parameters + mat_path = img_path.replace('.jpg', '_3dmm.mat').replace('real', 'real_3dmm') + param_3dmm = sio.loadmat(mat_path) + img = Image.open(img_path) + img = np.array(img) / 255.0 + Exp_Para = param_3dmm['Exp_Para'] + Pose_Para = param_3dmm['Pose_Para'] + Shape_Para = param_3dmm['Shape_Para'] + + #construct 3D face + f, phi, gamma, theta, t3d = ParaMap_Pose(Pose_Para) + + R = RotationMatrix(phi, gamma, theta) + P = np.array([[1, 0, 0], [0, 1, 0]]) + alpha = Shape_Para + alpha_exp = Exp_Para + + express = np.matmul(w_exp, alpha_exp) + express = np.resize(express, (int(express.shape[0] / 3), 3)) + + shape = mu + np.matmul(w, alpha) + shape = np.resize(shape, (int(shape.shape[0] / 3), 3)) + vertex = shape + express + # print(vertex) + + vertex_full, tri_full = ModelCompletionBFM(vertex, tri_plus, Model_FWH) + vertexm_full, temp = ModelCompletionBFM(vertex_noear_BFM, tri_plus, Model_FWH) + + # print(img) + height, width, nChannels = img.shape + # print(height, width, nChannels) + + print(t3d) + ProjectVertex = np.matmul(f * R, np.transpose(vertex)) + np.transpose(np.tile(t3d, (vertex.shape[0], 1))) + ProjectVertex[1, :] = height + 1 - ProjectVertex[1, :] + # DrawSolidHead(ProjectVertex, tri) + # sio.savemat('./ProjectVertexrtex.mat', {'Vertex': ProjectVertex, 'tri':tri}) + + + ProjectVertex_full = np.matmul(f * R, np.transpose(vertex_full)) + np.transpose(np.tile(t3d, (vertex_full.shape[0], 1))) + ProjectVertex_full[1, :] = height + 1 - ProjectVertex_full[1, :] + # print(ProjectVertex_full) + face_contour_ind = face_contour + # DrawSolidHead(ProjectVertex_full, tri_full) + # sio.savemat('./ProjectVertex_full.mat', {'Vertex': ProjectVertex_full, 'tri':tri_full}) + + contlist_src, bg_tri, keypointsfull_contour_pose = ImageMeshing(vertex, tri_plus, vertex_full, tri_full, vertexm_full, + f, phi, gamma, theta, t3d, keypoints, keypointsfull_contour, parallelfull_contour, img, layer_width) + + bg_vertex_src = contlist_src[0] + for i in range(1, len(contlist_src)): + bg_vertex_src = np.hstack([bg_vertex_src, contlist_src[i]]) + + # print(bg_vertex_src.shape, ProjectVertex_full.shape, bg_tri.shape, tri_full.shape) + all_vertex_src = np.hstack([bg_vertex_src, ProjectVertex_full]) + all_tri = np.hstack([bg_tri, np.transpose(tri_full) + bg_vertex_src.shape[1]]) + # sio.savemat('./all_vertex_src.mat', {'Vertex': all_vertex_src, 'tri':all_tri}) + # DrawSolidHead(all_vertex_src, all_tri) + + phi_delta = 0/180 * np.pi + gamma_delta = 10/180 * np.pi + theta_delta = 0/180 * np.pi + phi_ref = phi + gamma_ref = gamma + theta_ref = theta + while np.abs(gamma_ref) < np.pi / 3: + ## 3. Rotating and Anchor Adjustment + # Get delta rotation; + phi_delta = np.abs(phi_delta) * phi / np.abs(phi) + gamma_delta = np.abs(gamma_delta) * gamma / np.abs(gamma) + theta_delta = np.abs(theta_delta) * theta / np.abs(theta) + phi_ref = phi_ref + phi_delta + gamma_ref = gamma_ref + gamma_delta + theta_ref = theta_ref + theta_delta + print(gamma_ref) + R_ref = RotationMatrix(phi_ref, gamma_ref, theta_ref) + + center_src = np.mean(ProjectVertex_full, axis=1) + center_src[1] = height + 1 - center_src[1] + + t3d_ref = center_src - np.mean(np.matmul(f * R_ref, np.transpose(vertex_full)), axis=1) + + # print(R_ref.shape, vertex_full.shape, t3d_ref.shape) + RefVertex = np.matmul(f * R_ref, np.transpose(vertex_full)) + np.tile(np.expand_dims(t3d_ref, axis=1), (1, vertex_full.shape[0])) + RefVertex[1, :] = height + 1 - RefVertex[1, :] + + Pose_Para_src = np.array([[phi, gamma, theta, t3d[0], t3d[1], t3d[2], f]]) + Pose_Para_ref = np.array([[phi_ref, gamma_ref, theta_ref, t3d_ref[0], t3d_ref[1], t3d_ref[2], f]]) + + contlist_ref, t3d_ref = ImageRotation(contlist_src, bg_tri, np.transpose(vertex_full), tri_full, keypointsfull_contour, parallelfull_contour, Pose_Para_src, Pose_Para_ref, img) + + bg_vertex_ref = contlist_ref[0] + for i in range(1, len(contlist_src)): + bg_vertex_ref = np.hstack([bg_vertex_ref, contlist_ref[i]]) + all_vertex_ref = np.hstack([bg_vertex_ref, RefVertex]) + + bg_tri_num = bg_tri.shape[1] + bg_ver_num = bg_vertex_src.shape[1] + + + ## Further adjust z + + if gamma > 0: + face_contour_modify = np.hstack([np.array(range(8)), np.array(range(24, 30))]) + else: + face_contour_modify = np.array(range(9, 23)) + + face_contour_nonmodify = np.setdiff1d(np.array(range(keypointsfull_contour.shape[1])), face_contour_modify) + cont = contlist_ref[0] + bin = np.zeros((1, cont.shape[1])) + bin[0, face_contour_nonmodify] = 1 + zmax_bin = bin + for i in range(1, len(contlist_ref) - 1): + cont = contlist_ref[i] + bin = np.zeros((1, cont.shape[1])) + bin[0, face_contour_nonmodify] = 1 + zmax_bin = np.hstack([zmax_bin, bin]) + + zmax_bin = np.hstack([zmax_bin, np.zeros((1, contlist_ref[-1].shape[1]))]) + zmax_ind = np.where(zmax_bin) + zmax_ind = (zmax_ind[0], zmax_ind[1] + 1) + bin = np.in1d(bg_tri[0, :], zmax_ind) | np.in1d(bg_tri[1, :], zmax_ind) | np.in1d(bg_tri[2, :], zmax_ind) + bin = np.where(bin == True) + zmax_ind = np.unique(np.squeeze(bg_tri[:, bin])) + #all_vertex_ref[2, zmax_ind] = np.max(all_vertex_ref[2, :]) + + ## 4. Get Rotating Result + valid_half = np.zeros((tri_full.shape[0], 1)) + symlist_tri = np.hstack([np.array([range(tri_full.shape[0])]), [[0]]]) + symlist_tri = np.transpose(np.reshape(symlist_tri, (int(symlist_tri.shape[1] / 2), 2))) + + comp_map, tri_ind = ZBufferTri(all_vertex_ref, all_tri, np.zeros((1, all_tri.shape[1])), -1 * np.ones((height, width, 1))) + + corres_map, corres_map_sym = FaceFrontalizationMapping(np.zeros((img.shape[0], img.shape[1])), tri_ind, all_vertex_src, all_vertex_ref, + all_tri, bg_tri_num, valid_half, vertex.shape[0], tri_plus.shape[1], symlist_tri) + # corres_map = sio.loadmat('./corres_map.mat')['corres_map'] + # img = sio.loadmat('./corres_map.mat')['img'] + # print(np.max(corres_map), np.min(corres_map)) + + des_img = FaceFrontalizationFilling(img, corres_map) + + save_name = os.path.join(dst_folder, img_path.split('/')[-1][:-4] + '_' + str(gamma_ref) + '.jpg') + print(save_name) + des_img = cv2.cvtColor((des_img * 255).astype(np.uint8), cv2.COLOR_RGB2BGR) + cv2.imwrite(save_name, des_img) + + # plt.subplot(1,2,1) + # plt.imshow(img) + # plt.subplot(1,2,2) + # plt.imshow(des_img) + # + # plt.show() + + + + + diff --git a/fitting_3dmm/FittingExpression.py b/fitting_3dmm/FittingExpression.py new file mode 100644 index 0000000..7976fc7 --- /dev/null +++ b/fitting_3dmm/FittingExpression.py @@ -0,0 +1,30 @@ +import numpy as np + +def FittingExpression(pt2d, pt3d_shape, keypoints1, R, t, s, w, sigma, beta): + + + s3d = np.matmul(s * R, pt3d_shape) + s2d = s3d[0:2, :] + t2d = np.tile(t[0:2], (1, pt2d.shape[1])) + + # Firstly the expression component + m = pt2d.shape[1] + n = w.shape[1] + + w2d = np.zeros((2 * m, n)) + for i in range(n): + tempdata = np.reshape(w[keypoints1, i].T, (m, 3)).T #第i个特征脸的关键点3D坐标 + tempdata2d = np.matmul(s * R, tempdata) #投影到2D上 + tempdata2d = tempdata2d[0 : 2, :] + w2d[:, i] = np.squeeze(np.reshape(tempdata2d.T, [-1, 1])) #特征脸上的关键点投影到2D的坐标 w2d = keypoint(T * w)= T * keypoint(w) (T为仿射矩阵，w为特征脸) + + #optimize the equation + #要求目标3D model的关键点经过投影后与2D图像关键点重合，作为形状约束 + #公式为：优化公式为：||x - T(w * alpha + mu)|| + lambda * alpha' * C * alpha + #求极小值得：(w'T'Tw + lambda*C) * alpha = w'T'x - w'T'T*mu 其中w2d = wT + equationLeft = np.dot(w2d.T, w2d )+ beta * np.diagflat(1 / (sigma**2)) + equationRight = np.dot(w2d.T, (np.reshape(pt2d.T, [-1, 1]) - np.reshape(s2d.T, [-1,1]) - np.reshape(t2d.T, [-1, 1]))) + alpha_exp = np.dot(np.linalg.inv(equationLeft), equationRight) + + return alpha_exp + diff --git a/fitting_3dmm/FittingModel.py b/fitting_3dmm/FittingModel.py new file mode 100644 index 0000000..6b0835d --- /dev/null +++ b/fitting_3dmm/FittingModel.py @@ -0,0 +1,146 @@ +from .FittingShape import FittingShape +from .FittingExpression import FittingExpression +from .KeypointsWithPose import KeypointsWithPose +from .FittingPose import * +import numpy as np +from utility.param_parse import RotationMatrix + +def FittingModel(pt2d, mu, w, sigma, w_exp, sigma_exp, tri, parallel, keypoints, img): + # fit the 3DMM with the 68 landmarks and return the pose, shape and + # expression parameters + # + # Paras: + # @pt2d : The 68 landmarks. + # @mu : The mean shape of 3DMM + # @w : The PCA axes of 3DMM shape + # @sigma : The PCA standard variations of 3DMM shape + # @w_exp : The PCA axes of 3DMM expression + # @sigma_exp : The PCA standard variations of 3DMM expression + # @parallel : The parallel on the face model see section 2.2 + # @keypoints : the 68 landmarks make up on the 3D model, which has the + # same semantic positions as pt2d + # @img : the input image + # + # Outputs: + # ========== + # @f : The scale parameter of pose + # @phi : The pitch angle of pose + # @gamma : The yaw angle of pose + # @theta : The roll angle of pose + # @t3d : The translation of pose + # @alpha : The shape paramters + # @alpha_exp : The expression paramters + + height, width, nChannels = img.shape + + PI = 3.1415926 + + LeftVis = np.hstack([np.array(range(9)), np.array(range(17, 48)), np.array([48]), np.array([60]), np.array([64]), np.array([54])]) + RightVis = np.hstack([np.array(range(8,17)), np.array(range(17, 48)), np.array([48]), np.array([60]), np.array([64]), np.array([54])]) + + # Firstly Pose Coarse Estimation, set valid keypoints + vertex = np.reshape(mu, (int(mu.shape[0] / 3), 3)).T + pt3d = np.squeeze(vertex[:, keypoints - 1], axis=1) + + ## Coarse Pose Estimate + Pl = estimate_affine_matrix_3d22d(pt3d[:, LeftVis].T, pt2d[:, LeftVis].T) + Pr = estimate_affine_matrix_3d22d(pt3d[:, RightVis].T, pt2d[:, RightVis].T) + _, Rl, _ = P2sRt(Pl) + _, Rr, _ = P2sRt(Pr) + phil, gammal, thetal = matrix2angle(Rl) + phir, gammar, thetar = matrix2angle(Rr) + + if abs(gammal) > abs(gammar): + phi = phil + gamma = gammal + theta = thetal + else: + phi = phir + gamma = gammar + theta = thetar + + R = RotationMatrix(phi, gamma, theta) + + valid_key = np.array(range(68)) + valid_key1 = np.vstack([3 * valid_key, 3*valid_key + 1, 3*valid_key + 2]) + valid_key1 = np.reshape(valid_key1.T, [-1, 1]) + + + ## modify keypoints in each interation + # normal algorithm + + # shape and expression parameters + alpha = np.zeros((w.shape[1], 1)) + alpha_exp = np.zeros((w_exp.shape[1], 1)) + + iteration = 0 + maxiteration = 4 + + ## Firstly pose and expression + while(True): + if(iteration > maxiteration): + break + + iteration = iteration + 1 + + ## 1. Update keypoints + if(gamma < 0): + modify_ind = np.array(range(9, 17)) + else: + modify_ind = np.array(range(8)) + + keypoints_cur = KeypointsWithPose(phi, gamma, theta, vertex, tri, parallel, keypoints, modify_ind).astype(np.uint32) + keypoints_cur1 = np.vstack([3 * keypoints_cur - 2, 3 * keypoints_cur - 1, 3 * keypoints_cur]) + keypoints_cur1 = np.reshape(keypoints_cur1.T, [-1, 1]) + + # truncate model with keypoint index + mu_key = np.squeeze(mu[keypoints_cur1 - 1], axis=1) + w_key = np.squeeze(w[keypoints_cur1 - 1, :], axis=1) + w_exp_key = np.squeeze(w_exp[keypoints_cur1 - 1, :], axis=1) + + express3d_key = np.dot(w_exp_key, alpha_exp) + express3d_key = np.reshape(express3d_key, (int(express3d_key.shape[0] / 3), 3)).T + + shape3d_key = mu_key + np.dot(w_key, alpha) + shape3d_key = np.reshape(shape3d_key, (int(shape3d_key.shape[0] / 3), 3)).T + vertex_key = shape3d_key + express3d_key + + # pt3d1 = f * R * vertex_key + repmat(t3d, 1, size(vertex_key,2)) + # pt3d1(2,:) = height + 1 - pt3d1(2,:) + # pt2d1 = pt2d + # pt2d1(2,:) = height + 1 - pt2d1(2,:) + # imshow(img) + # hold on + # plot(pt2d1(1,:), pt2d1(2,:), 'b.') + # plot(pt3d1(1,:), pt3d1(2,:), 'r.') + # hold off + + ## 2. Pose Estimate + pose_fitting_ind = np.hstack([np.array(range(17)), np.array(range(27, 36)), np.array(range(36, 48)), np.array([48]), np.array([60]), np.array([64]), np.array([54])]) + pt3d = vertex_key + P = estimate_affine_matrix_3d22d(pt3d[:, pose_fitting_ind].T, pt2d[:, pose_fitting_ind].T) + f, R, t3d = P2sRt(P) + phi, gamma, theta = matrix2angle(R) + R = RotationMatrix(phi, gamma, theta) + + ## 2.expression fitting + # update shape3d + # Usually we can't fit expression accuratly, which always lead to over + # normalization, thus we weaken expression coefficients + # f = 4.5770e-04 + # t3d = np.array([86.0867, 82.9362, -37.2772]) + # R = np.array([[0.9694, -0.0852, -0.2304], [0.0910, 0.9957, 0.0149], [0.2282, -0.0354, 0.9730]]) + + beta_exp = 1000 + alpha_exp = FittingExpression(pt2d[:, valid_key], shape3d_key[:, valid_key], np.array(range(valid_key1.shape[0])), R, t3d, f, np.squeeze(w_exp_key[valid_key1, :], axis=1), sigma_exp, beta_exp) + express3d_key = np.dot(w_exp_key, alpha_exp) + express3d_key = np.reshape(express3d_key, (int(express3d_key.shape[0] / 3), 3)).T + + ## 3.shape fitting + beta_shape = 3000 + alpha = FittingShape(pt2d[:, valid_key], express3d_key[:, valid_key], np.array(range(valid_key1.shape[0])), R, t3d, f, + np.squeeze(mu_key[valid_key1], axis=1), np.squeeze(w_key[valid_key1,:], axis=1), sigma, beta_shape) + return f, phi, gamma, theta, t3d, alpha, alpha_exp + + + diff --git a/fitting_3dmm/FittingPose.py b/fitting_3dmm/FittingPose.py new file mode 100644 index 0000000..04d09e6 --- /dev/null +++ b/fitting_3dmm/FittingPose.py @@ -0,0 +1,122 @@ +import numpy as np +import math +from math import cos, sin + +def estimate_affine_matrix_3d22d(X, x): + ''' Using Golden Standard Algorithm for estimating an affine camera + matrix P from world to image correspondences. + See Alg.7.2. in MVGCV + Code Ref: https://github.com/patrikhuber/eos/blob/master/include/eos/fitting/affine_camera_estimation.hpp + x_homo = X_homo.dot(P_Affine) + Args: + X: [n, 3]. corresponding 3d points(fixed) + x: [n, 2]. n>=4. 2d points(moving). x = PX + Returns: + P_Affine: [3, 4]. Affine camera matrix + ''' + X = X.T + x = x.T + assert (x.shape[1] == X.shape[1]) + n = x.shape[1] + assert (n >= 4) + + # --- 1. normalization + # 2d points + mean = np.mean(x, 1) # (2,) + x = x - np.tile(mean[:, np.newaxis], [1, n]) + average_norm = np.mean(np.sqrt(np.sum(x ** 2, 0))) + scale = np.sqrt(2) / average_norm + x = scale * x + + T = np.zeros((3, 3), dtype=np.float32) + T[0, 0] = T[1, 1] = scale + T[:2, 2] = -mean * scale + T[2, 2] = 1 + + # 3d points + X_homo = np.vstack((X, np.ones((1, n)))) + mean = np.mean(X, 1) # (3,) + X = X - np.tile(mean[:, np.newaxis], [1, n]) + m = X_homo[:3, :] - X + average_norm = np.mean(np.sqrt(np.sum(X ** 2, 0))) + scale = np.sqrt(3) / average_norm + X = scale * X + + U = np.zeros((4, 4), dtype=np.float32) + U[0, 0] = U[1, 1] = U[2, 2] = scale + U[:3, 3] = -mean * scale + U[3, 3] = 1 + + # --- 2. equations + A = np.zeros((n * 2, 8), dtype=np.float32); + X_homo = np.vstack((X, np.ones((1, n)))).T + A[:n, :4] = X_homo + A[n:, 4:] = X_homo + b = np.reshape(x, [-1, 1]) + + # --- 3. solution + p_8 = np.linalg.pinv(A).dot(b) + P = np.zeros((3, 4), dtype=np.float32) + P[0, :] = p_8[:4, 0] + P[1, :] = p_8[4:, 0] + P[-1, -1] = 1 + + # --- 4. denormalization + P_Affine = np.linalg.inv(T).dot(P.dot(U)) + return P_Affine + +def P2sRt(P): + ''' decompositing camera matrix P + Args: + P: (3, 4). Affine Camera Matrix. + Returns: + s: scale factor. + R: (3, 3). rotation matrix. + t: (3,). translation. + ''' + t = P[:, 3] + R1 = P[0:1, :3] + R2 = P[1:2, :3] + s = (np.linalg.norm(R1) + np.linalg.norm(R2))/2.0 + r1 = R1/np.linalg.norm(R1) + r2 = R2/np.linalg.norm(R2) + r3 = np.cross(r1, r2) + + R = np.concatenate((r1, r2, r3), 0) + return s, R, t + +def isRotationMatrix(R): + ''' checks if a matrix is a valid rotation matrix(whether orthogonal or not) + ''' + Rt = np.transpose(R) + shouldBeIdentity = np.dot(Rt, R) + I = np.identity(3, dtype = R.dtype) + n = np.linalg.norm(I - shouldBeIdentity) + return n < 1e-6 + +def matrix2angle(R): + ''' get three Euler angles from Rotation Matrix + Args: + R: (3,3). rotation matrix + Returns: + x: pitch + y: yaw + z: roll + ''' + assert (isRotationMatrix) + sy = math.sqrt(R[0, 0] * R[0, 0] + R[1, 0] * R[1, 0]) + + singular = sy < 1e-6 + + if not singular: + x = math.atan2(R[2, 1], R[2, 2]) + y = math.atan2(-R[2, 0], sy) + z = math.atan2(R[1, 0], R[0, 0]) + else: + x = math.atan2(-R[1, 2], R[1, 1]) + y = math.atan2(-R[2, 0], sy) + z = 0 + + # rx, ry, rz = np.rad2deg(x), np.rad2deg(y), np.rad2deg(z) + # rx, ry, rz = x * 180 / np.pi, y * 180 / np.pi, z * 180 / np.pi + return -x, -y, -z diff --git a/fitting_3dmm/FittingShape.py b/fitting_3dmm/FittingShape.py new file mode 100644 index 0000000..6b81670 --- /dev/null +++ b/fitting_3dmm/FittingShape.py @@ -0,0 +1,47 @@ +# -*- coding: utf-8 -*- +import numpy as np +def FittingShape(pt2d, pt3d_express, keypoints1, R, t, s, mu, w, sigma, beta): + """ + % Initialize Shape with Keypoint + % @input pt3d: Keypoint on the modal; + % @input pt2d: Keypoint on the image + % @input keypoints1: Keypoint index on the modal + % @input R t s: Pose parameter + % @input beta: Regularization parameter; + % @input sigma: Shpae's PCA parameter sigma + % @output alpha: Shape's PCA paramter + """ + + beta = s * beta + + m = pt2d.shape[1] + n = w.shape[1] + + shape_3d = mu[keypoints1] + shape_3d = np.reshape(shape_3d, (int(shape_3d.shape[0] / 3), 3)).T + shape_3d = np.dot(s * R, shape_3d) + shape_2d = shape_3d[0:2, :] + + exp_3d = np.dot(s * R, pt3d_express) + exp_2d = exp_3d[0:2, :] + + t2d = np.tile(t[0:2, np.newaxis], (1, m)) + + w2d = np.zeros((2 * m, n)) + for i in range(n): + tempdata = np.reshape(w[keypoints1, i].T, (m, 3)).T #第i个特征脸的关键点3D坐标 + tempdata2d = np.dot(s * R, tempdata) #投影到2D上 + tempdata2d = tempdata2d[0 : 2, :] + w2d[:, i] = np.squeeze(np.reshape(tempdata2d.T, [-1, 1])) #特征脸上的关键点投影到2D的坐标 w2d = keypoint(T * w)= T * keypoint(w) (T为仿射矩阵，w为特征脸) + + + # optimize the equation + # 要求目标3D model的关键点经过投影后与2D图像关键点重合，作为形状约束 + # 公式为：优化公式为：||x - T(w * alpha + mu)|| + lambda * alpha' * C * alpha + # 求极小值得：(w'T'Tw + lambda*C) * alpha = w'T'x - w'T'T*mu 其中w2d = wT + equationLeft = np.dot(np.transpose(w2d), w2d )+ beta * np.diagflat(1/sigma**2) + equationRight = np.dot(w2d.T, (np.reshape(pt2d.T, [-1, 1]) - np.reshape(shape_2d.T, [-1, 1]) - np.reshape(exp_2d.T, [-1, 1]) - np.reshape(t2d.T, [-1, 1]))) + alpha = np.dot(np.linalg.inv(equationLeft), equationRight) + + return alpha + diff --git a/fitting_3dmm/KeypointsWithPose.py b/fitting_3dmm/KeypointsWithPose.py new file mode 100755 index 0000000..ce4d70b --- /dev/null +++ b/fitting_3dmm/KeypointsWithPose.py @@ -0,0 +1,46 @@ +import numpy as np +from utility.param_parse import RotationMatrix + +def KeypointsWithPose(phi, gamma, theta, vertex, tri, isoline, keypoints, modify_ind): + ProjectVertex = np.dot(RotationMatrix(phi, gamma, 0), vertex) + ProjectVertex = ProjectVertex - np.tile(np.min(ProjectVertex, axis=1), (ProjectVertex.shape[1], 1)).T + 1 + ProjectVertex = ProjectVertex/max(abs(np.reshape(ProjectVertex, [-1, 1]))) + + keypoints_pose = keypoints + + # 1. get the keypoints needing modifying + # if(gamma < 0) + # modify_key = [10:17] + # else + # modify_key = [1:8] + # end + modify_key = modify_ind + + # 2. get the contour line(�ȸ���) of each modify key + # contour_line = cell(length(modify_key), 1) + # line_width = 0.05 + # for i = 1:length(modify_key) + # # find contour line(�ȸ���) + # pt = ProjectVertex(:, keypoints(modify_key(i))) + # line_ind = find(abs(ProjectVertex(2,:) - pt(2)) < line_width) + # line_ind = intersect(line_ind, find(face_bin==1)) + # contour_line{i} = line_ind + # end + + contour_line = np.squeeze(isoline[modify_key]) + + # 3. get the outest point on the contour line + for i in range(len(modify_key)): + tmp = np.squeeze(ProjectVertex[0, contour_line[i] - 1]) + if(gamma >= 0): + min_ind = np.where(min(tmp) == tmp) + keypoints_pose[:, modify_key[i]] = contour_line[i][:, min_ind] + else: + max_ind = np.where(max(tmp) == tmp) + keypoints_pose[:, modify_key[i]] = contour_line[i][:, max_ind] + + # t = zeros(size(ProjectVertex)) + # t(1,keypoints_pose)=1 + # DrawTextureHead(ProjectVertex, tri, t) + # DrawSolidHead(ProjectVertex, tri, ProjectVertex(:,keypoints_pose)) + return keypoints_pose diff --git a/fitting_3dmm/__pycache__/FittingExpression.cpython-36.pyc b/fitting_3dmm/__pycache__/FittingExpression.cpython-36.pyc new file mode 100644 index 0000000..863eb18 Binary files /dev/null and b/fitting_3dmm/__pycache__/FittingExpression.cpython-36.pyc differ diff --git a/fitting_3dmm/__pycache__/FittingModel.cpython-36.pyc b/fitting_3dmm/__pycache__/FittingModel.cpython-36.pyc new file mode 100644 index 0000000..45a8195 Binary files /dev/null and b/fitting_3dmm/__pycache__/FittingModel.cpython-36.pyc differ diff --git a/fitting_3dmm/__pycache__/FittingPose.cpython-36.pyc b/fitting_3dmm/__pycache__/FittingPose.cpython-36.pyc new file mode 100644 index 0000000..4400272 Binary files /dev/null and b/fitting_3dmm/__pycache__/FittingPose.cpython-36.pyc differ diff --git a/fitting_3dmm/__pycache__/FittingShape.cpython-36.pyc b/fitting_3dmm/__pycache__/FittingShape.cpython-36.pyc new file mode 100644 index 0000000..776f99c Binary files /dev/null and b/fitting_3dmm/__pycache__/FittingShape.cpython-36.pyc differ diff --git a/fitting_3dmm/__pycache__/KeypointsWithPose.cpython-36.pyc b/fitting_3dmm/__pycache__/KeypointsWithPose.cpython-36.pyc new file mode 100644 index 0000000..9bc3ff1 Binary files /dev/null and b/fitting_3dmm/__pycache__/KeypointsWithPose.cpython-36.pyc differ diff --git a/landmark_detect/dlib_landmark.py b/landmark_detect/dlib_landmark.py new file mode 100644 index 0000000..96e98ac --- /dev/null +++ b/landmark_detect/dlib_landmark.py @@ -0,0 +1,50 @@ +# -*- coding: utf-8 -*- +import os +import dlib +import numpy as np +from skimage import io +import scipy.io as sio +import glob + +def get_landmarks(im): + rects = detector(im, 1) + return np.matrix([[p.x, p.y] for p in predictor(im, rects[0]).parts()]) + +predictor_path = "./net-data/shape_predictor_68_face_landmarks.dat" + +detector = dlib.get_frontal_face_detector() + +predictor = dlib.shape_predictor(predictor_path) +image_folders = sorted(glob.glob('/data/zhoumi/datasets/IJB-A/real/*')) +for image_folder in image_folders: + types = ('*.jpg', '*.png') + image_path_list = [] + for files in types: + image_path_list.extend(sorted(glob.glob(os.path.join(image_folder, files)))) + for face_path in image_path_list: + # print(face_path) + img = io.imread(face_path) + [h, w, c] = img.shape + # print(img.shape) + if c > 3: + img = img[:, :, :3] + img = (img * 255).astype(np.uint8) + dets = detector(img, 1) + # print("Number of faces detected: {}".format(len(dets))) + if 0 == len(dets): + continue + for k, d in enumerate(dets): + # print("dets{}".format(d)) + # print("Detection {}: Left: {} Top: {} Right: {} Bottom: {}".format(k, d.left(), d.top(), d.right(), d.bottom())) + shape = predictor(img, d) + # print("Part 0: {}, Part 1: {} ...".format(shape.part(0), shape.part(1))) + # print("face_landmark:") + + # print(get_landmarks(img)) + member_path = '/data/zhoumi/datasets/IJB-A/real_landmark/' + face_path.split('/')[-2] + if not os.path.exists(member_path): + os.mkdir(member_path) + + save_name = member_path + '/' + face_path.split('/')[-1].replace('.jpg', '') + '_landmark' + '.mat' + print(save_name) + sio.savemat(save_name, {'pts': get_landmarks(img).astype(np.double)}) diff --git a/landmark_detect/net-data/shape_predictor_68_face_landmarks.dat b/landmark_detect/net-data/shape_predictor_68_face_landmarks.dat new file mode 100644 index 0000000..e0ec20d Binary files /dev/null and b/landmark_detect/net-data/shape_predictor_68_face_landmarks.dat differ diff --git a/mesh/FaceFrontalization_algo/FF_FaceFrontalization.cpp b/mesh/FaceFrontalization_algo/FF_FaceFrontalization.cpp new file mode 100755 index 0000000..36cc351 --- /dev/null +++ b/mesh/FaceFrontalization_algo/FF_FaceFrontalization.cpp @@ -0,0 +1,74 @@ +#include"FaceFrontalization.h" + +FaceFrontalization::FaceFrontalization(double* mask, double* tri_ind, int width, int height, int nChannels, + double* all_vertex_src, double* all_vertex_ref, int all_ver_dim, int all_ver_length, + double* all_tri, int all_tri_dim, int all_tri_length, int bg_tri_num, + double* valid_tri_half, int vertex_length, int tri_length, + double* sym_tri_list, int symlist_length) + +{ + this->mask = mask; + this->tri_ind = tri_ind; + this->width = width; + this->height = height; + this->nChannels = nChannels; + + this->all_vertex_src = all_vertex_src; + this->all_vertex_ref = all_vertex_ref; + this->all_ver_dim = all_ver_dim; + this->all_ver_length = all_ver_length; + + this->all_tri = all_tri; + this->all_tri_dim = all_tri_dim; + this->all_tri_length = all_tri_length; + this->bg_tri_num = bg_tri_num; + + this->valid_tri_half = valid_tri_half; + this->vertex_length = vertex_length; + this->tri_length = tri_length; + + this->sym_tri_list = sym_tri_list; + this->symlist_length = symlist_length; +} + + +FaceFrontalization::FaceFrontalization(double* mask, double* tri_ind, int width, int height, int nChannels, + double* all_vertex_src, double* all_vertex_ref, int all_ver_dim, int all_ver_length, + double* all_tri, int all_tri_dim, int all_tri_length, int bg_tri_num, int bg_vertex_num, + double* valid_tri_half, int vertex_length, int tri_length, + double* sym_list, int symlist_length) + +{ + this->mask = mask; + this->tri_ind = tri_ind; + this->width = width; + this->height = height; + this->nChannels = nChannels; + + this->all_vertex_src = all_vertex_src; + this->all_vertex_ref = all_vertex_ref; + this->all_ver_dim = all_ver_dim; + this->all_ver_length = all_ver_length; + + this->all_tri = all_tri; + this->all_tri_dim = all_tri_dim; + this->all_tri_length = all_tri_length; + this->bg_tri_num = bg_tri_num; + this->bg_vertex_num = bg_vertex_num; + + this->valid_tri_half = valid_tri_half; + this->vertex_length = vertex_length; + this->tri_length = tri_length; + + this->sym_list = sym_list; + this->symlist_length = symlist_length; +} + +FaceFrontalization::FaceFrontalization(double* img, int width, int height, int nChannels, double* corres_map) +{ + this->img = img; + this->width = width; + this->height = height; + this->nChannels = nChannels; + this->corres_map_input = corres_map; +} \ No newline at end of file diff --git a/mesh/FaceFrontalization_algo/FF_MeshSrc2Ref.cpp b/mesh/FaceFrontalization_algo/FF_MeshSrc2Ref.cpp new file mode 100755 index 0000000..7e29e94 --- /dev/null +++ b/mesh/FaceFrontalization_algo/FF_MeshSrc2Ref.cpp @@ -0,0 +1,367 @@ +#include"FaceFrontalization.h" +#include +#include"math.h" +using namespace std; + + +void FaceFrontalization::frontalization_mapping(double* corres_map, double* corres_map_sym) +{ + int x,y; + double xx, yy; + int corres_tri; + int sym_tri; + + double weight[3]; + + int pt_ind; + + double pt[2]; + double pt1[2]; + double pt2[2]; + double pt3[2]; + + + for(y = 0; y < height; y++) + { + for(x = 0; x < width; x++) + { + corres_map[y * width * 2 + x * 2 + 0] = -1; + corres_map[y * width * 2 + x * 2 + 1] = -1; + + corres_map_sym[y * width * 2 + x * 2 + 0] = -1; + corres_map_sym[y * width * 2 + x * 2 + 1] = -1; + + + corres_tri = (int)tri_ind[y * width + x]; + + if(corres_tri < 0) + { + // for no tri corresponding pixel + continue; + } + + //1. For des_img + if(corres_tri < bg_tri_num) + { + // if it is on the background (big tri) + // Positions on the des image + pt_ind = (int)all_tri[all_tri_dim * corres_tri + 0]; + pt1[0] = all_vertex_ref[all_ver_dim * pt_ind + 0]; + pt1[1] = all_vertex_ref[all_ver_dim * pt_ind + 1]; + + pt_ind = (int)all_tri[all_tri_dim * corres_tri + 1]; + pt2[0] = all_vertex_ref[all_ver_dim * pt_ind + 0]; + pt2[1] = all_vertex_ref[all_ver_dim * pt_ind + 1]; + + pt_ind = (int)all_tri[all_tri_dim * corres_tri + 2]; + pt3[0] = all_vertex_ref[all_ver_dim * pt_ind + 0]; + pt3[1] = all_vertex_ref[all_ver_dim * pt_ind + 1]; + + pt[0] = x; + pt[1] = y; + FaceFrontalization::position2weight(weight, pt, pt1, pt2, pt3); + } + else + { + // if it is on the face (small tri) + weight[0] = weight[1] = weight[2] = 1.0 / 3; + } + + // Positions on the src img + pt_ind = (int)all_tri[all_tri_dim * corres_tri + 0]; + pt1[0] = all_vertex_src[all_ver_dim * pt_ind + 0]; + pt1[1] = all_vertex_src[all_ver_dim * pt_ind + 1]; + + pt_ind = (int)all_tri[all_tri_dim * corres_tri + 1]; + pt2[0] = all_vertex_src[all_ver_dim * pt_ind + 0]; + pt2[1] = all_vertex_src[all_ver_dim * pt_ind + 1]; + + pt_ind = (int)all_tri[all_tri_dim * corres_tri + 2]; + pt3[0] = all_vertex_src[all_ver_dim * pt_ind + 0]; + pt3[1] = all_vertex_src[all_ver_dim * pt_ind + 1]; + + xx = weight[0] * pt1[0] + weight[1] * pt2[0] + weight[2] * pt3[0]; + yy = weight[0] * pt1[1] + weight[1] * pt2[1] + weight[2] * pt3[1]; + + corres_map_sym[y * width * 2 + x * 2 + 0] = xx; + corres_map_sym[y * width * 2 + x * 2 + 1] = yy; + + if(mask[y * width + x] <= 0) + { + corres_map[y * width * 2 + x * 2 + 0] = xx; + corres_map[y * width * 2 + x * 2 + 1] = yy; + } + + + // For sym_img + if(corres_tri >= bg_tri_num && valid_tri_half[corres_tri - bg_tri_num] <= 0) + { + sym_tri = (int)FindSym(sym_tri_list, symlist_length, corres_tri-bg_tri_num) + bg_tri_num; + xx = 0; yy = 0; + + pt_ind = (int)all_tri[all_tri_dim * sym_tri + 0]; + xx += all_vertex_src[all_ver_dim * pt_ind + 0]; + yy += all_vertex_src[all_ver_dim * pt_ind + 1]; + + pt_ind = (int)all_tri[all_tri_dim * sym_tri + 1]; + xx += all_vertex_src[all_ver_dim * pt_ind + 0]; + yy += all_vertex_src[all_ver_dim * pt_ind + 1]; + + pt_ind = (int)all_tri[all_tri_dim * sym_tri + 2]; + xx += all_vertex_src[all_ver_dim * pt_ind + 0]; + yy += all_vertex_src[all_ver_dim * pt_ind + 1]; + + xx = xx / 3; + yy = yy / 3; + + corres_map_sym[y * width * 2 + x * 2 + 0] = xx; + corres_map_sym[y * width * 2 + x * 2 + 1] = yy; + + } + } + } +} + + + + +void FaceFrontalization::frontalization_mapping_big_tri(double* corres_map, double* corres_map_sym) +{ + int x,y; + double xx, yy; + int corres_tri; + int sym_tri; + + double weight[3]; + + int pt_ind[3]; + int ppt_ind; + + double pt[2]; + double pt1[2]; + double pt2[2]; + double pt3[2]; + + + for(y = 0; y < height; y++) + { + for(x = 0; x < width; x++) + { + corres_map[y * width * 2 + x * 2 + 0] = -1; + corres_map[y * width * 2 + x * 2 + 1] = -1; + + corres_map_sym[2 * width * y + x * 2 + 0] = -1; + corres_map_sym[2 * width * y + x * 2 + 1] = -1; + + + corres_tri = (int)tri_ind[y * width + x]; + + if(corres_tri < 0) + { + // for no tri corresponding pixel + continue; + } + + //1. For des_img + pt_ind[0] = (int)all_tri[all_tri_dim * corres_tri + 0]; + pt1[0] = all_vertex_ref[all_ver_dim * pt_ind[0] + 0]; + pt1[1] = all_vertex_ref[all_ver_dim * pt_ind[0] + 1]; + + pt_ind[1] = (int)all_tri[all_tri_dim * corres_tri + 1]; + pt2[0] = all_vertex_ref[all_ver_dim * pt_ind[1] + 0]; + pt2[1] = all_vertex_ref[all_ver_dim * pt_ind[1] + 1]; + + pt_ind[2] = (int)all_tri[all_tri_dim * corres_tri + 2]; + pt3[0] = all_vertex_ref[all_ver_dim * pt_ind[2] + 0]; + pt3[1] = all_vertex_ref[all_ver_dim * pt_ind[2] + 1]; + + pt[0] = x; + pt[1] = y; + FaceFrontalization::position2weight(weight, pt, pt1, pt2, pt3); + + + // Positions on the src img + pt1[0] = all_vertex_src[all_ver_dim * pt_ind[0] + 0]; + pt1[1] = all_vertex_src[all_ver_dim * pt_ind[0] + 1]; + + pt2[0] = all_vertex_src[all_ver_dim * pt_ind[1] + 0]; + pt2[1] = all_vertex_src[all_ver_dim * pt_ind[1] + 1]; + + pt3[0] = all_vertex_src[all_ver_dim * pt_ind[2] + 0]; + pt3[1] = all_vertex_src[all_ver_dim * pt_ind[2] + 1]; + + xx = weight[0] * pt1[0] + weight[1] * pt2[0] + weight[2] * pt3[0]; + yy = weight[0] * pt1[1] + weight[1] * pt2[1] + weight[2] * pt3[1]; + + corres_map_sym[y * width * 2 + x * 2 + 0] = xx; + corres_map_sym[y * width * 2 + x * 2 + 1] = yy; + + if(mask[y * width + x] <= 0) + { + corres_map[y * width * 2 + x * 2 + 0] = xx; + corres_map[y * width * 2 + x * 2 + 1] = yy; + } + + + // For sym_img + if(corres_tri >= bg_tri_num && valid_tri_half[corres_tri - bg_tri_num] <= 0) + { + + xx = 0; yy = 0; + + ppt_ind = (int)FindSym(sym_list, symlist_length, pt_ind[0]-bg_vertex_num) + bg_vertex_num; + pt1[0] = all_vertex_src[all_ver_dim * ppt_ind + 0]; + pt1[1] = all_vertex_src[all_ver_dim * ppt_ind + 1]; + + ppt_ind = (int)FindSym(sym_list, symlist_length, pt_ind[1]-bg_vertex_num) + bg_vertex_num; + pt2[0] = all_vertex_src[all_ver_dim * ppt_ind + 0]; + pt2[1] = all_vertex_src[all_ver_dim * ppt_ind + 1]; + + ppt_ind = (int)FindSym(sym_list, symlist_length, pt_ind[2]-bg_vertex_num) + bg_vertex_num; + pt3[0] = all_vertex_src[all_ver_dim * ppt_ind + 0]; + pt3[1] = all_vertex_src[all_ver_dim * ppt_ind + 1]; + + xx = weight[0] * pt1[0] + weight[1] * pt2[0] + weight[2] * pt3[0]; + yy = weight[0] * pt1[1] + weight[1] * pt2[1] + weight[2] * pt3[1]; + + corres_map_sym[y * width * 2 + x * 2 + 0] = xx; + corres_map_sym[y * width * 2 + x * 2 + 1] = yy; + + } + } + } +} + + + +void FaceFrontalization::frontalization_filling(double* result) +{ + int x,y,n; + double xx, yy; + + double pixel[MAXNCHANNELS]; + + for(y = 0; y < height; y++) + { + for(x = 0; x < width; x++) + { + xx = corres_map_input[2 * width * y + x * 2 + 0]; + yy = corres_map_input[2 * width * y + x * 2 + 1]; + + if(xx < 0 || xx > width-1 || yy < 0 || yy > height-1) + { + for(n = 0; n < nChannels; n++){ + result[y * width * nChannels + x * nChannels + n] = 0; + } + continue; + } + + bilinearInterpolation(pixel, img, width, height, nChannels, xx, yy); + + for(n = 0; n < nChannels; n++) + result[y * width * nChannels + x * nChannels + n] = pixel[n]; +// result[ y* width * nChannels + x * nChannels + n] = img[(int)yy * width * nChannels + (int)xx * nChannels + n]; + } + } +} + + +void FaceFrontalization::position2weight(double* weight, double* point, double* pt1, double* pt2, double* pt3) +{ + //Use the center of gravity to get the weights of three vertices of triangle + //Ref: http://www.nowamagic.net/algorithm/algorithm_PointInTriangleTest.php + + double pointx = point[0]; + double pointy = point[1]; + + double pt1x = pt1[0]; + double pt1y = pt1[1]; + + double pt2x = pt2[0]; + double pt2y = pt2[1]; + + double pt3x = pt3[0]; + double pt3y = pt3[1]; + + double v0x = pt3x - pt1x; + double v0y = pt3y - pt1y; + + double v1x = pt2x - pt1x; + double v1y = pt2y - pt1y; + + double v2x = pointx - pt1x; + double v2y = pointy - pt1y; + + double dot00 = v0x * v0x + v0y * v0y; + double dot01 = v0x * v1x + v0y * v1y; + double dot02 = v0x * v2x + v0y * v2y; + double dot11 = v1x * v1x + v1y * v1y; + double dot12 = v1x * v2x + v1y * v2y; + + + double inverDeno = 0; + if((dot00 * dot11 - dot01 * dot01) == 0) + inverDeno = 0; + else + inverDeno = 1 / (dot00 * dot11 - dot01 * dot01); + + double u = (dot11 * dot02 - dot01 * dot12) * inverDeno; + double v = (dot00 * dot12 - dot01 * dot02) * inverDeno; + + weight[0] = 1 - u - v; + weight[1] = v; + weight[2] = u; +} + +void FaceFrontalization::bilinearInterpolation(double* pixel, double* img, int width, int height, int nChannels, double x, double y) +{ + int n; + double f00[MAXNCHANNELS], f01[MAXNCHANNELS], f10[MAXNCHANNELS], f11[MAXNCHANNELS]; + /*x = min(max(0.0,x),width-1.0); + y = min(max(0.0,y),height-1.0); */ + + if(x < 0 || x > width-1 || y < 0 || y > height-1) + { + for(n = 0; n < nChannels; n++) + { + pixel[n] = 0; + } + return; + } + + for(n = 0; n < nChannels; n++) + { + f00[n] = img[nChannels * width * (int)floor(y) + (int)floor(x) * nChannels + n]; + f01[n] = img[nChannels * width * (int)ceil(y) + (int)floor(x) * nChannels + n]; + f10[n] = img[nChannels * width * (int)floor(y) + (int)ceil(x) * nChannels + n]; + f11[n] = img[nChannels * width * (int)ceil(y) + (int)ceil(x) * nChannels + n]; + } + + x = x - floor(x); + y = y - floor(y); + + for(n = 0; n < nChannels; n++) + { + pixel[n] = f00[n]*(1-x)*(1-y) + f01[n]*(1-x)*y + f10[n]*x*(1-y) + f11[n]*x*y; + } + +} + +double FaceFrontalization::FindSym(double* sym_list, int listlength, int ind) +{ + int i; + for(i = 0; i < listlength; i++) + { + if(fabs(sym_list[2*i+0] - ind) < 1e-5) + { + return sym_list[2*i+1]; + } + + if(fabs(sym_list[2*i+1] - ind) < 1e-5) + { + return sym_list[2*i+0]; + } + } + + return INF; +} \ No newline at end of file diff --git a/mesh/FaceFrontalization_algo/FaceFrontalization.h b/mesh/FaceFrontalization_algo/FaceFrontalization.h new file mode 100755 index 0000000..2e2dd95 --- /dev/null +++ b/mesh/FaceFrontalization_algo/FaceFrontalization.h @@ -0,0 +1,88 @@ +#ifndef FACEFRONTALIZATION +#define FACEFRONTALIZATION + +#ifndef INF +#define INF 1E20 +#endif + +#ifndef MAXNCHANNELS +#define MAXNCHANNELS 5 +#endif MAXNCHANNELS + +class FaceFrontalization +{ +public: + // Template + FaceFrontalization() {} + ~FaceFrontalization() {} + FaceFrontalization(double* mask, double* tri_ind, int width, int height, int nChannels, + double* all_vertex_src, double* all_vertex_ref, int all_ver_dim, int all_ver_length, + double* all_tri, int all_tri_dim, int all_tri_length, int bg_tri_num, + double* valid_tri_half, int vertex_length, int tri_length, + double* sym_tri_list, int symlist_length); + + FaceFrontalization(double* mask, double* tri_ind, int width, int height, int nChannels, + double* all_vertex_src, double* all_vertex_ref, int all_ver_dim, int all_ver_length, + double* all_tri, int all_tri_dim, int all_tri_length, int bg_tri_num, int bg_vertex_num, + double* valid_tri_half, int vertex_length, int tri_length, + double* sym_list, int symlist_length); + + + FaceFrontalization(double* img, int width, int height, int nChannels, double* corres_map); + + + + // Part 1. Frontalization + void frontalization_mapping(double* corres_map, double* corre_map_sym); + void frontalization_mapping_big_tri(double* corres_map, double* corre_map_sym); + void frontalization_filling(double* result); + +private: + double* img; + double* mask; + double* corres_map_input; + int width; + int height; + int nChannels; + + ///// For meshed image + // the map providing the corresponding tri of each pixel + double* tri_ind; + + // the meshed src and des image + double* all_vertex_src; + double* all_vertex_ref; + int all_ver_dim; + int all_ver_length; + + double* all_tri; + int all_tri_dim; + int all_tri_length; + + int bg_tri_num; // the number of background tri + int bg_vertex_num; + + //// For face symmetry + double* valid_tri_half; // the visible half (set to 1) and invisible half (set to 0) + int vertex_length; + int tri_length; + + double* sym_tri_list; + double* sym_list; + int symlist_length; + + // Part 1. Frontalization + void position2weight(double* weight, double* point, double* pt1, double* pt2, double* pt3); + void bilinearInterpolation(double* pixel, double* img, int width, int height, int nChannels, double x, double y); + double FindSym(double* sym_list, int listlength, int ind); + +}; + + + + + + + + +#endif \ No newline at end of file diff --git a/mesh/FaceFrontalization_algo/FaceFrontalization.pyd b/mesh/FaceFrontalization_algo/FaceFrontalization.pyd new file mode 100644 index 0000000..f4d164f --- /dev/null +++ b/mesh/FaceFrontalization_algo/FaceFrontalization.pyd @@ -0,0 +1,26 @@ + +cdef extern from "FF_FaceFrontalization.cpp": + pass + +cdef extern from "FF_MeshSrc2Ref.cpp": + pass + +cdef extern from "FaceFrontalization.h": + cdef cppclass FaceFrontalization: + FaceFrontalization(double* mask, double* tri_ind, int, int, int, + double* all_vertex_src, double* all_vertex_ref, int, int, + double* all_tri, int, int, int, + double* valid_tri_half, int, int, + double* sym_tri_list, int) except + + + FaceFrontalization(double* mask, double* tri_ind, int, int, int, + double* all_vertex_src, double* all_vertex_ref, int, int, + double* all_tri, int, int, int, int, + double* valid_tri_half, int, int, + double* sym_list, int) except + + + FaceFrontalization(double* img, int, int, int, double* corres_map) except + + + void frontalization_mapping(double * corres_map, double * corre_map_sym) + void frontalization_mapping_big_tri(double * corres_map, double * corre_map_sym) + void frontalization_filling(double * result) \ No newline at end of file diff --git a/mesh/FaceFrontalization_algo/FaceFrontalization_core_cython.cpp b/mesh/FaceFrontalization_algo/FaceFrontalization_core_cython.cpp new file mode 100644 index 0000000..cf08e52 --- /dev/null +++ b/mesh/FaceFrontalization_algo/FaceFrontalization_core_cython.cpp @@ -0,0 +1,9973 @@ +/* Generated by Cython 0.29.7 */ + +#define PY_SSIZE_T_CLEAN +#include "Python.h" +#ifndef Py_PYTHON_H + #error Python headers needed to compile C extensions, please install development version of Python. +#elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000) + #error Cython requires Python 2.6+ or Python 3.3+. +#else +#define CYTHON_ABI "0_29_7" +#define CYTHON_HEX_VERSION 0x001D07F0 +#define CYTHON_FUTURE_DIVISION 0 +#include +#ifndef offsetof + #define offsetof(type, member) ( (size_t) & ((type*)0) -> member ) +#endif +#if !defined(WIN32) && !defined(MS_WINDOWS) + #ifndef __stdcall + #define __stdcall + #endif + #ifndef __cdecl + #define __cdecl + #endif + #ifndef __fastcall + #define __fastcall + #endif +#endif +#ifndef DL_IMPORT + #define DL_IMPORT(t) t +#endif +#ifndef DL_EXPORT + #define DL_EXPORT(t) t +#endif +#define __PYX_COMMA , +#ifndef HAVE_LONG_LONG + #if PY_VERSION_HEX >= 0x02070000 + #define HAVE_LONG_LONG + #endif +#endif +#ifndef PY_LONG_LONG + #define PY_LONG_LONG LONG_LONG +#endif +#ifndef Py_HUGE_VAL + #define Py_HUGE_VAL HUGE_VAL +#endif +#ifdef PYPY_VERSION + #define CYTHON_COMPILING_IN_PYPY 1 + #define CYTHON_COMPILING_IN_PYSTON 0 + #define CYTHON_COMPILING_IN_CPYTHON 0 + #undef CYTHON_USE_TYPE_SLOTS + #define CYTHON_USE_TYPE_SLOTS 0 + #undef CYTHON_USE_PYTYPE_LOOKUP + #define CYTHON_USE_PYTYPE_LOOKUP 0 + #if PY_VERSION_HEX < 0x03050000 + #undef CYTHON_USE_ASYNC_SLOTS + #define CYTHON_USE_ASYNC_SLOTS 0 + #elif !defined(CYTHON_USE_ASYNC_SLOTS) + #define CYTHON_USE_ASYNC_SLOTS 1 + #endif + #undef CYTHON_USE_PYLIST_INTERNALS + #define CYTHON_USE_PYLIST_INTERNALS 0 + #undef CYTHON_USE_UNICODE_INTERNALS + #define CYTHON_USE_UNICODE_INTERNALS 0 + #undef CYTHON_USE_UNICODE_WRITER + #define CYTHON_USE_UNICODE_WRITER 0 + #undef CYTHON_USE_PYLONG_INTERNALS + #define CYTHON_USE_PYLONG_INTERNALS 0 + #undef CYTHON_AVOID_BORROWED_REFS + #define CYTHON_AVOID_BORROWED_REFS 1 + #undef CYTHON_ASSUME_SAFE_MACROS + #define CYTHON_ASSUME_SAFE_MACROS 0 + #undef CYTHON_UNPACK_METHODS + #define CYTHON_UNPACK_METHODS 0 + #undef CYTHON_FAST_THREAD_STATE + #define CYTHON_FAST_THREAD_STATE 0 + #undef CYTHON_FAST_PYCALL + #define CYTHON_FAST_PYCALL 0 + #undef CYTHON_PEP489_MULTI_PHASE_INIT + #define CYTHON_PEP489_MULTI_PHASE_INIT 0 + #undef CYTHON_USE_TP_FINALIZE + #define CYTHON_USE_TP_FINALIZE 0 + #undef CYTHON_USE_DICT_VERSIONS + #define CYTHON_USE_DICT_VERSIONS 0 + #undef CYTHON_USE_EXC_INFO_STACK + #define CYTHON_USE_EXC_INFO_STACK 0 +#elif defined(PYSTON_VERSION) + #define CYTHON_COMPILING_IN_PYPY 0 + #define CYTHON_COMPILING_IN_PYSTON 1 + #define CYTHON_COMPILING_IN_CPYTHON 0 + #ifndef CYTHON_USE_TYPE_SLOTS + #define CYTHON_USE_TYPE_SLOTS 1 + #endif + #undef CYTHON_USE_PYTYPE_LOOKUP + #define CYTHON_USE_PYTYPE_LOOKUP 0 + #undef CYTHON_USE_ASYNC_SLOTS + #define CYTHON_USE_ASYNC_SLOTS 0 + #undef CYTHON_USE_PYLIST_INTERNALS + #define CYTHON_USE_PYLIST_INTERNALS 0 + #ifndef CYTHON_USE_UNICODE_INTERNALS + #define CYTHON_USE_UNICODE_INTERNALS 1 + #endif + #undef CYTHON_USE_UNICODE_WRITER + #define CYTHON_USE_UNICODE_WRITER 0 + #undef CYTHON_USE_PYLONG_INTERNALS + #define CYTHON_USE_PYLONG_INTERNALS 0 + #ifndef CYTHON_AVOID_BORROWED_REFS + #define CYTHON_AVOID_BORROWED_REFS 0 + #endif + #ifndef CYTHON_ASSUME_SAFE_MACROS + #define CYTHON_ASSUME_SAFE_MACROS 1 + #endif + #ifndef CYTHON_UNPACK_METHODS + #define CYTHON_UNPACK_METHODS 1 + #endif + #undef CYTHON_FAST_THREAD_STATE + #define CYTHON_FAST_THREAD_STATE 0 + #undef CYTHON_FAST_PYCALL + #define CYTHON_FAST_PYCALL 0 + #undef CYTHON_PEP489_MULTI_PHASE_INIT + #define CYTHON_PEP489_MULTI_PHASE_INIT 0 + #undef CYTHON_USE_TP_FINALIZE + #define CYTHON_USE_TP_FINALIZE 0 + #undef CYTHON_USE_DICT_VERSIONS + #define CYTHON_USE_DICT_VERSIONS 0 + #undef CYTHON_USE_EXC_INFO_STACK + #define CYTHON_USE_EXC_INFO_STACK 0 +#else + #define CYTHON_COMPILING_IN_PYPY 0 + #define CYTHON_COMPILING_IN_PYSTON 0 + #define CYTHON_COMPILING_IN_CPYTHON 1 + #ifndef CYTHON_USE_TYPE_SLOTS + #define CYTHON_USE_TYPE_SLOTS 1 + #endif + #if PY_VERSION_HEX < 0x02070000 + #undef CYTHON_USE_PYTYPE_LOOKUP + #define CYTHON_USE_PYTYPE_LOOKUP 0 + #elif !defined(CYTHON_USE_PYTYPE_LOOKUP) + #define CYTHON_USE_PYTYPE_LOOKUP 1 + #endif + #if PY_MAJOR_VERSION < 3 + #undef CYTHON_USE_ASYNC_SLOTS + #define CYTHON_USE_ASYNC_SLOTS 0 + #elif !defined(CYTHON_USE_ASYNC_SLOTS) + #define CYTHON_USE_ASYNC_SLOTS 1 + #endif + #if PY_VERSION_HEX < 0x02070000 + #undef CYTHON_USE_PYLONG_INTERNALS + #define CYTHON_USE_PYLONG_INTERNALS 0 + #elif !defined(CYTHON_USE_PYLONG_INTERNALS) + #define CYTHON_USE_PYLONG_INTERNALS 1 + #endif + #ifndef CYTHON_USE_PYLIST_INTERNALS + #define CYTHON_USE_PYLIST_INTERNALS 1 + #endif + #ifndef CYTHON_USE_UNICODE_INTERNALS + #define CYTHON_USE_UNICODE_INTERNALS 1 + #endif + #if PY_VERSION_HEX < 0x030300F0 + #undef CYTHON_USE_UNICODE_WRITER + #define CYTHON_USE_UNICODE_WRITER 0 + #elif !defined(CYTHON_USE_UNICODE_WRITER) + #define CYTHON_USE_UNICODE_WRITER 1 + #endif + #ifndef CYTHON_AVOID_BORROWED_REFS + #define CYTHON_AVOID_BORROWED_REFS 0 + #endif + #ifndef CYTHON_ASSUME_SAFE_MACROS + #define CYTHON_ASSUME_SAFE_MACROS 1 + #endif + #ifndef CYTHON_UNPACK_METHODS + #define CYTHON_UNPACK_METHODS 1 + #endif + #ifndef CYTHON_FAST_THREAD_STATE + #define CYTHON_FAST_THREAD_STATE 1 + #endif + #ifndef CYTHON_FAST_PYCALL + #define CYTHON_FAST_PYCALL 1 + #endif + #ifndef CYTHON_PEP489_MULTI_PHASE_INIT + #define CYTHON_PEP489_MULTI_PHASE_INIT (PY_VERSION_HEX >= 0x03050000) + #endif + #ifndef CYTHON_USE_TP_FINALIZE + #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1) + #endif + #ifndef CYTHON_USE_DICT_VERSIONS + #define CYTHON_USE_DICT_VERSIONS (PY_VERSION_HEX >= 0x030600B1) + #endif + #ifndef CYTHON_USE_EXC_INFO_STACK + #define CYTHON_USE_EXC_INFO_STACK (PY_VERSION_HEX >= 0x030700A3) + #endif +#endif +#if !defined(CYTHON_FAST_PYCCALL) +#define CYTHON_FAST_PYCCALL (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1) +#endif +#if CYTHON_USE_PYLONG_INTERNALS + #include "longintrepr.h" + #undef SHIFT + #undef BASE + #undef MASK + #ifdef SIZEOF_VOID_P + enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) }; + #endif +#endif +#ifndef __has_attribute + #define __has_attribute(x) 0 +#endif +#ifndef __has_cpp_attribute + #define __has_cpp_attribute(x) 0 +#endif +#ifndef CYTHON_RESTRICT + #if defined(__GNUC__) + #define CYTHON_RESTRICT __restrict__ + #elif defined(_MSC_VER) && _MSC_VER >= 1400 + #define CYTHON_RESTRICT __restrict + #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L + #define CYTHON_RESTRICT restrict + #else + #define CYTHON_RESTRICT + #endif +#endif +#ifndef CYTHON_UNUSED +# if defined(__GNUC__) +# if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4)) +# define CYTHON_UNUSED __attribute__ ((__unused__)) +# else +# define CYTHON_UNUSED +# endif +# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER)) +# define CYTHON_UNUSED __attribute__ ((__unused__)) +# else +# define CYTHON_UNUSED +# endif +#endif +#ifndef CYTHON_MAYBE_UNUSED_VAR +# if defined(__cplusplus) + template void CYTHON_MAYBE_UNUSED_VAR( const T& ) { } +# else +# define CYTHON_MAYBE_UNUSED_VAR(x) (void)(x) +# endif +#endif +#ifndef CYTHON_NCP_UNUSED +# if CYTHON_COMPILING_IN_CPYTHON +# define CYTHON_NCP_UNUSED +# else +# define CYTHON_NCP_UNUSED CYTHON_UNUSED +# endif +#endif +#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None) +#ifdef _MSC_VER + #ifndef _MSC_STDINT_H_ + #if _MSC_VER < 1300 + typedef unsigned char uint8_t; + typedef unsigned int uint32_t; + #else + typedef unsigned __int8 uint8_t; + typedef unsigned __int32 uint32_t; + #endif + #endif +#else + #include +#endif +#ifndef CYTHON_FALLTHROUGH + #if defined(__cplusplus) && __cplusplus >= 201103L + #if __has_cpp_attribute(fallthrough) + #define CYTHON_FALLTHROUGH [[fallthrough]] + #elif __has_cpp_attribute(clang::fallthrough) + #define CYTHON_FALLTHROUGH [[clang::fallthrough]] + #elif __has_cpp_attribute(gnu::fallthrough) + #define CYTHON_FALLTHROUGH [[gnu::fallthrough]] + #endif + #endif + #ifndef CYTHON_FALLTHROUGH + #if __has_attribute(fallthrough) + #define CYTHON_FALLTHROUGH __attribute__((fallthrough)) + #else + #define CYTHON_FALLTHROUGH + #endif + #endif + #if defined(__clang__ ) && defined(__apple_build_version__) + #if __apple_build_version__ < 7000000 + #undef CYTHON_FALLTHROUGH + #define CYTHON_FALLTHROUGH + #endif + #endif +#endif + +#ifndef __cplusplus + #error "Cython files generated with the C++ option must be compiled with a C++ compiler." +#endif +#ifndef CYTHON_INLINE + #if defined(__clang__) + #define CYTHON_INLINE __inline__ __attribute__ ((__unused__)) + #else + #define CYTHON_INLINE inline + #endif +#endif +template +void __Pyx_call_destructor(T& x) { + x.~T(); +} +template +class __Pyx_FakeReference { + public: + __Pyx_FakeReference() : ptr(NULL) { } + __Pyx_FakeReference(const T& ref) : ptr(const_cast(&ref)) { } + T *operator->() { return ptr; } + T *operator&() { return ptr; } + operator T&() { return *ptr; } + template bool operator ==(U other) { return *ptr == other; } + template bool operator !=(U other) { return *ptr != other; } + private: + T *ptr; +}; + +#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag) + #define Py_OptimizeFlag 0 +#endif +#define __PYX_BUILD_PY_SSIZE_T "n" +#define CYTHON_FORMAT_SSIZE_T "z" +#if PY_MAJOR_VERSION < 3 + #define __Pyx_BUILTIN_MODULE_NAME "__builtin__" + #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\ + PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) + #define __Pyx_DefaultClassType PyClass_Type +#else + #define __Pyx_BUILTIN_MODULE_NAME "builtins" + #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\ + PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) + #define __Pyx_DefaultClassType PyType_Type +#endif +#ifndef Py_TPFLAGS_CHECKTYPES + #define Py_TPFLAGS_CHECKTYPES 0 +#endif +#ifndef Py_TPFLAGS_HAVE_INDEX + #define Py_TPFLAGS_HAVE_INDEX 0 +#endif +#ifndef Py_TPFLAGS_HAVE_NEWBUFFER + #define Py_TPFLAGS_HAVE_NEWBUFFER 0 +#endif +#ifndef Py_TPFLAGS_HAVE_FINALIZE + #define Py_TPFLAGS_HAVE_FINALIZE 0 +#endif +#ifndef METH_STACKLESS + #define METH_STACKLESS 0 +#endif +#if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL) + #ifndef METH_FASTCALL + #define METH_FASTCALL 0x80 + #endif + typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs); + typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args, + Py_ssize_t nargs, PyObject *kwnames); +#else + #define __Pyx_PyCFunctionFast _PyCFunctionFast + #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords +#endif +#if CYTHON_FAST_PYCCALL +#define __Pyx_PyFastCFunction_Check(func)\ + ((PyCFunction_Check(func) && (METH_FASTCALL == (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS))))) +#else +#define __Pyx_PyFastCFunction_Check(func) 0 +#endif +#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc) + #define PyObject_Malloc(s) PyMem_Malloc(s) + #define PyObject_Free(p) PyMem_Free(p) + #define PyObject_Realloc(p) PyMem_Realloc(p) +#endif +#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030400A1 + #define PyMem_RawMalloc(n) PyMem_Malloc(n) + #define PyMem_RawRealloc(p, n) PyMem_Realloc(p, n) + #define PyMem_RawFree(p) PyMem_Free(p) +#endif +#if CYTHON_COMPILING_IN_PYSTON + #define __Pyx_PyCode_HasFreeVars(co) PyCode_HasFreeVars(co) + #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno) +#else + #define __Pyx_PyCode_HasFreeVars(co) (PyCode_GetNumFree(co) > 0) + #define __Pyx_PyFrame_SetLineNumber(frame, lineno) (frame)->f_lineno = (lineno) +#endif +#if !CYTHON_FAST_THREAD_STATE || PY_VERSION_HEX < 0x02070000 + #define __Pyx_PyThreadState_Current PyThreadState_GET() +#elif PY_VERSION_HEX >= 0x03060000 + #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet() +#elif PY_VERSION_HEX >= 0x03000000 + #define __Pyx_PyThreadState_Current PyThreadState_GET() +#else + #define __Pyx_PyThreadState_Current _PyThreadState_Current +#endif +#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT) +#include "pythread.h" +#define Py_tss_NEEDS_INIT 0 +typedef int Py_tss_t; +static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) { + *key = PyThread_create_key(); + return 0; +} +static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) { + Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t)); + *key = Py_tss_NEEDS_INIT; + return key; +} +static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) { + PyObject_Free(key); +} +static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) { + return *key != Py_tss_NEEDS_INIT; +} +static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) { + PyThread_delete_key(*key); + *key = Py_tss_NEEDS_INIT; +} +static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) { + return PyThread_set_key_value(*key, value); +} +static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) { + return PyThread_get_key_value(*key); +} +#endif +#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized) +#define __Pyx_PyDict_NewPresized(n) ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n)) +#else +#define __Pyx_PyDict_NewPresized(n) PyDict_New() +#endif +#if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION + #define __Pyx_PyNumber_Divide(x,y) PyNumber_TrueDivide(x,y) + #define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceTrueDivide(x,y) +#else + #define __Pyx_PyNumber_Divide(x,y) PyNumber_Divide(x,y) + #define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceDivide(x,y) +#endif +#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS +#define __Pyx_PyDict_GetItemStr(dict, name) _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash) +#else +#define __Pyx_PyDict_GetItemStr(dict, name) PyDict_GetItem(dict, name) +#endif +#if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND) + #define CYTHON_PEP393_ENABLED 1 + #define __Pyx_PyUnicode_READY(op) (likely(PyUnicode_IS_READY(op)) ?\ + 0 : _PyUnicode_Ready((PyObject *)(op))) + #define __Pyx_PyUnicode_GET_LENGTH(u) PyUnicode_GET_LENGTH(u) + #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i) + #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u) PyUnicode_MAX_CHAR_VALUE(u) + #define __Pyx_PyUnicode_KIND(u) PyUnicode_KIND(u) + #define __Pyx_PyUnicode_DATA(u) PyUnicode_DATA(u) + #define __Pyx_PyUnicode_READ(k, d, i) PyUnicode_READ(k, d, i) + #define __Pyx_PyUnicode_WRITE(k, d, i, ch) PyUnicode_WRITE(k, d, i, ch) + #define __Pyx_PyUnicode_IS_TRUE(u) (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u))) +#else + #define CYTHON_PEP393_ENABLED 0 + #define PyUnicode_1BYTE_KIND 1 + #define PyUnicode_2BYTE_KIND 2 + #define PyUnicode_4BYTE_KIND 4 + #define __Pyx_PyUnicode_READY(op) (0) + #define __Pyx_PyUnicode_GET_LENGTH(u) PyUnicode_GET_SIZE(u) + #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i])) + #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u) ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111) + #define __Pyx_PyUnicode_KIND(u) (sizeof(Py_UNICODE)) + #define __Pyx_PyUnicode_DATA(u) ((void*)PyUnicode_AS_UNICODE(u)) + #define __Pyx_PyUnicode_READ(k, d, i) ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i])) + #define __Pyx_PyUnicode_WRITE(k, d, i, ch) (((void)(k)), ((Py_UNICODE*)d)[i] = ch) + #define __Pyx_PyUnicode_IS_TRUE(u) (0 != PyUnicode_GET_SIZE(u)) +#endif +#if CYTHON_COMPILING_IN_PYPY + #define __Pyx_PyUnicode_Concat(a, b) PyNumber_Add(a, b) + #define __Pyx_PyUnicode_ConcatSafe(a, b) PyNumber_Add(a, b) +#else + #define __Pyx_PyUnicode_Concat(a, b) PyUnicode_Concat(a, b) + #define __Pyx_PyUnicode_ConcatSafe(a, b) ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\ + PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b)) +#endif +#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_Contains) + #define PyUnicode_Contains(u, s) PySequence_Contains(u, s) +#endif +#if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check) + #define PyByteArray_Check(obj) PyObject_TypeCheck(obj, &PyByteArray_Type) +#endif +#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format) + #define PyObject_Format(obj, fmt) PyObject_CallMethod(obj, "__format__", "O", fmt) +#endif +#define __Pyx_PyString_FormatSafe(a, b) ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b)) +#define __Pyx_PyUnicode_FormatSafe(a, b) ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b)) +#if PY_MAJOR_VERSION >= 3 + #define __Pyx_PyString_Format(a, b) PyUnicode_Format(a, b) +#else + #define __Pyx_PyString_Format(a, b) PyString_Format(a, b) +#endif +#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII) + #define PyObject_ASCII(o) PyObject_Repr(o) +#endif +#if PY_MAJOR_VERSION >= 3 + #define PyBaseString_Type PyUnicode_Type + #define PyStringObject PyUnicodeObject + #define PyString_Type PyUnicode_Type + #define PyString_Check PyUnicode_Check + #define PyString_CheckExact PyUnicode_CheckExact + #define PyObject_Unicode PyObject_Str +#endif +#if PY_MAJOR_VERSION >= 3 + #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj) + #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj) +#else + #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj)) + #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj)) +#endif +#ifndef PySet_CheckExact + #define PySet_CheckExact(obj) (Py_TYPE(obj) == &PySet_Type) +#endif +#if CYTHON_ASSUME_SAFE_MACROS + #define __Pyx_PySequence_SIZE(seq) Py_SIZE(seq) +#else + #define __Pyx_PySequence_SIZE(seq) PySequence_Size(seq) +#endif +#if PY_MAJOR_VERSION >= 3 + #define PyIntObject PyLongObject + #define PyInt_Type PyLong_Type + #define PyInt_Check(op) PyLong_Check(op) + #define PyInt_CheckExact(op) PyLong_CheckExact(op) + #define PyInt_FromString PyLong_FromString + #define PyInt_FromUnicode PyLong_FromUnicode + #define PyInt_FromLong PyLong_FromLong + #define PyInt_FromSize_t PyLong_FromSize_t + #define PyInt_FromSsize_t PyLong_FromSsize_t + #define PyInt_AsLong PyLong_AsLong + #define PyInt_AS_LONG PyLong_AS_LONG + #define PyInt_AsSsize_t PyLong_AsSsize_t + #define PyInt_AsUnsignedLongMask PyLong_AsUnsignedLongMask + #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask + #define PyNumber_Int PyNumber_Long +#endif +#if PY_MAJOR_VERSION >= 3 + #define PyBoolObject PyLongObject +#endif +#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY + #ifndef PyUnicode_InternFromString + #define PyUnicode_InternFromString(s) PyUnicode_FromString(s) + #endif +#endif +#if PY_VERSION_HEX < 0x030200A4 + typedef long Py_hash_t; + #define __Pyx_PyInt_FromHash_t PyInt_FromLong + #define __Pyx_PyInt_AsHash_t PyInt_AsLong +#else + #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t + #define __Pyx_PyInt_AsHash_t PyInt_AsSsize_t +#endif +#if PY_MAJOR_VERSION >= 3 + #define __Pyx_PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : (Py_INCREF(func), func)) +#else + #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass) +#endif +#if CYTHON_USE_ASYNC_SLOTS + #if PY_VERSION_HEX >= 0x030500B1 + #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods + #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async) + #else + #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved)) + #endif +#else + #define __Pyx_PyType_AsAsync(obj) NULL +#endif +#ifndef __Pyx_PyAsyncMethodsStruct + typedef struct { + unaryfunc am_await; + unaryfunc am_aiter; + unaryfunc am_anext; + } __Pyx_PyAsyncMethodsStruct; +#endif + +#if defined(WIN32) || defined(MS_WINDOWS) + #define _USE_MATH_DEFINES +#endif +#include +#ifdef NAN +#define __PYX_NAN() ((float) NAN) +#else +static CYTHON_INLINE float __PYX_NAN() { + float value; + memset(&value, 0xFF, sizeof(value)); + return value; +} +#endif +#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL) +#define __Pyx_truncl trunc +#else +#define __Pyx_truncl truncl +#endif + + +#define __PYX_ERR(f_index, lineno, Ln_error) \ +{ \ + __pyx_filename = __pyx_f[f_index]; __pyx_lineno = lineno; __pyx_clineno = __LINE__; goto Ln_error; \ +} + +#ifndef __PYX_EXTERN_C + #ifdef __cplusplus + #define __PYX_EXTERN_C extern "C" + #else + #define __PYX_EXTERN_C extern + #endif +#endif + +#define __PYX_HAVE__FaceFrontalization_core_cython +#define __PYX_HAVE_API__FaceFrontalization_core_cython +/* Early includes */ +#include +#include +#include "numpy/arrayobject.h" +#include "numpy/ufuncobject.h" +#include "ios" +#include "new" +#include "stdexcept" +#include "typeinfo" +#include +#include "FaceFrontalization.h" +#ifdef _OPENMP +#include +#endif /* _OPENMP */ + +#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS) +#define CYTHON_WITHOUT_ASSERTIONS +#endif + +typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding; + const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry; + +#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0 +#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0 +#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8) +#define __PYX_DEFAULT_STRING_ENCODING "" +#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString +#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize +#define __Pyx_uchar_cast(c) ((unsigned char)c) +#define __Pyx_long_cast(x) ((long)x) +#define __Pyx_fits_Py_ssize_t(v, type, is_signed) (\ + (sizeof(type) < sizeof(Py_ssize_t)) ||\ + (sizeof(type) > sizeof(Py_ssize_t) &&\ + likely(v < (type)PY_SSIZE_T_MAX ||\ + v == (type)PY_SSIZE_T_MAX) &&\ + (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\ + v == (type)PY_SSIZE_T_MIN))) ||\ + (sizeof(type) == sizeof(Py_ssize_t) &&\ + (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\ + v == (type)PY_SSIZE_T_MAX))) ) +static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) { + return (size_t) i < (size_t) limit; +} +#if defined (__cplusplus) && __cplusplus >= 201103L + #include + #define __Pyx_sst_abs(value) std::abs(value) +#elif SIZEOF_INT >= SIZEOF_SIZE_T + #define __Pyx_sst_abs(value) abs(value) +#elif SIZEOF_LONG >= SIZEOF_SIZE_T + #define __Pyx_sst_abs(value) labs(value) +#elif defined (_MSC_VER) + #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value)) +#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L + #define __Pyx_sst_abs(value) llabs(value) +#elif defined (__GNUC__) + #define __Pyx_sst_abs(value) __builtin_llabs(value) +#else + #define __Pyx_sst_abs(value) ((value<0) ? -value : value) +#endif +static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*); +static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length); +#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s)) +#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l) +#define __Pyx_PyBytes_FromString PyBytes_FromString +#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize +static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*); +#if PY_MAJOR_VERSION < 3 + #define __Pyx_PyStr_FromString __Pyx_PyBytes_FromString + #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize +#else + #define __Pyx_PyStr_FromString __Pyx_PyUnicode_FromString + #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize +#endif +#define __Pyx_PyBytes_AsWritableString(s) ((char*) PyBytes_AS_STRING(s)) +#define __Pyx_PyBytes_AsWritableSString(s) ((signed char*) PyBytes_AS_STRING(s)) +#define __Pyx_PyBytes_AsWritableUString(s) ((unsigned char*) PyBytes_AS_STRING(s)) +#define __Pyx_PyBytes_AsString(s) ((const char*) PyBytes_AS_STRING(s)) +#define __Pyx_PyBytes_AsSString(s) ((const signed char*) PyBytes_AS_STRING(s)) +#define __Pyx_PyBytes_AsUString(s) ((const unsigned char*) PyBytes_AS_STRING(s)) +#define __Pyx_PyObject_AsWritableString(s) ((char*) __Pyx_PyObject_AsString(s)) +#define __Pyx_PyObject_AsWritableSString(s) ((signed char*) __Pyx_PyObject_AsString(s)) +#define __Pyx_PyObject_AsWritableUString(s) ((unsigned char*) __Pyx_PyObject_AsString(s)) +#define __Pyx_PyObject_AsSString(s) ((const signed char*) __Pyx_PyObject_AsString(s)) +#define __Pyx_PyObject_AsUString(s) ((const unsigned char*) __Pyx_PyObject_AsString(s)) +#define __Pyx_PyObject_FromCString(s) __Pyx_PyObject_FromString((const char*)s) +#define __Pyx_PyBytes_FromCString(s) __Pyx_PyBytes_FromString((const char*)s) +#define __Pyx_PyByteArray_FromCString(s) __Pyx_PyByteArray_FromString((const char*)s) +#define __Pyx_PyStr_FromCString(s) __Pyx_PyStr_FromString((const char*)s) +#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s) +static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) { + const Py_UNICODE *u_end = u; + while (*u_end++) ; + return (size_t)(u_end - u - 1); +} +#define __Pyx_PyUnicode_FromUnicode(u) PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u)) +#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode +#define __Pyx_PyUnicode_AsUnicode PyUnicode_AsUnicode +#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj) +#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None) +static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b); +static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*); +static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*); +static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x); +#define __Pyx_PySequence_Tuple(obj)\ + (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj)) +static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*); +static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t); +#if CYTHON_ASSUME_SAFE_MACROS +#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x)) +#else +#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x) +#endif +#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x)) +#if PY_MAJOR_VERSION >= 3 +#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x)) +#else +#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x)) +#endif +#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x)) +#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII +static int __Pyx_sys_getdefaultencoding_not_ascii; +static int __Pyx_init_sys_getdefaultencoding_params(void) { + PyObject* sys; + PyObject* default_encoding = NULL; + PyObject* ascii_chars_u = NULL; + PyObject* ascii_chars_b = NULL; + const char* default_encoding_c; + sys = PyImport_ImportModule("sys"); + if (!sys) goto bad; + default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL); + Py_DECREF(sys); + if (!default_encoding) goto bad; + default_encoding_c = PyBytes_AsString(default_encoding); + if (!default_encoding_c) goto bad; + if (strcmp(default_encoding_c, "ascii") == 0) { + __Pyx_sys_getdefaultencoding_not_ascii = 0; + } else { + char ascii_chars[128]; + int c; + for (c = 0; c < 128; c++) { + ascii_chars[c] = c; + } + __Pyx_sys_getdefaultencoding_not_ascii = 1; + ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL); + if (!ascii_chars_u) goto bad; + ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL); + if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) { + PyErr_Format( + PyExc_ValueError, + "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.", + default_encoding_c); + goto bad; + } + Py_DECREF(ascii_chars_u); + Py_DECREF(ascii_chars_b); + } + Py_DECREF(default_encoding); + return 0; +bad: + Py_XDECREF(default_encoding); + Py_XDECREF(ascii_chars_u); + Py_XDECREF(ascii_chars_b); + return -1; +} +#endif +#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3 +#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL) +#else +#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL) +#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT +static char* __PYX_DEFAULT_STRING_ENCODING; +static int __Pyx_init_sys_getdefaultencoding_params(void) { + PyObject* sys; + PyObject* default_encoding = NULL; + char* default_encoding_c; + sys = PyImport_ImportModule("sys"); + if (!sys) goto bad; + default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL); + Py_DECREF(sys); + if (!default_encoding) goto bad; + default_encoding_c = PyBytes_AsString(default_encoding); + if (!default_encoding_c) goto bad; + __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1); + if (!__PYX_DEFAULT_STRING_ENCODING) goto bad; + strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c); + Py_DECREF(default_encoding); + return 0; +bad: + Py_XDECREF(default_encoding); + return -1; +} +#endif +#endif + + +/* Test for GCC > 2.95 */ +#if defined(__GNUC__) && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95))) + #define likely(x) __builtin_expect(!!(x), 1) + #define unlikely(x) __builtin_expect(!!(x), 0) +#else /* !__GNUC__ or GCC < 2.95 */ + #define likely(x) (x) + #define unlikely(x) (x) +#endif /* __GNUC__ */ +static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; } + +static PyObject *__pyx_m = NULL; +static PyObject *__pyx_d; +static PyObject *__pyx_b; +static PyObject *__pyx_cython_runtime = NULL; +static PyObject *__pyx_empty_tuple; +static PyObject *__pyx_empty_bytes; +static PyObject *__pyx_empty_unicode; +static int __pyx_lineno; +static int __pyx_clineno = 0; +static const char * __pyx_cfilenm= __FILE__; +static const char *__pyx_filename; + +/* Header.proto */ +#if !defined(CYTHON_CCOMPLEX) + #if defined(__cplusplus) + #define CYTHON_CCOMPLEX 1 + #elif defined(_Complex_I) + #define CYTHON_CCOMPLEX 1 + #else + #define CYTHON_CCOMPLEX 0 + #endif +#endif +#if CYTHON_CCOMPLEX + #ifdef __cplusplus + #include + #else + #include + #endif +#endif +#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__) + #undef _Complex_I + #define _Complex_I 1.0fj +#endif + + +static const char *__pyx_f[] = { + "stringsource", + "FaceFrontalization_core_cython.pyx", + "__init__.pxd", + "type.pxd", +}; +/* BufferFormatStructs.proto */ +#define IS_UNSIGNED(type) (((type) -1) > 0) +struct __Pyx_StructField_; +#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0) +typedef struct { + const char* name; + struct __Pyx_StructField_* fields; + size_t size; + size_t arraysize[8]; + int ndim; + char typegroup; + char is_unsigned; + int flags; +} __Pyx_TypeInfo; +typedef struct __Pyx_StructField_ { + __Pyx_TypeInfo* type; + const char* name; + size_t offset; +} __Pyx_StructField; +typedef struct { + __Pyx_StructField* field; + size_t parent_offset; +} __Pyx_BufFmt_StackElem; +typedef struct { + __Pyx_StructField root; + __Pyx_BufFmt_StackElem* head; + size_t fmt_offset; + size_t new_count, enc_count; + size_t struct_alignment; + int is_complex; + char enc_type; + char new_packmode; + char enc_packmode; + char is_valid_array; +} __Pyx_BufFmt_Context; + + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":776 + * # in Cython to enable them only on the right systems. + * + * ctypedef npy_int8 int8_t # <<<<<<<<<<<<<< + * ctypedef npy_int16 int16_t + * ctypedef npy_int32 int32_t + */ +typedef npy_int8 __pyx_t_5numpy_int8_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":777 + * + * ctypedef npy_int8 int8_t + * ctypedef npy_int16 int16_t # <<<<<<<<<<<<<< + * ctypedef npy_int32 int32_t + * ctypedef npy_int64 int64_t + */ +typedef npy_int16 __pyx_t_5numpy_int16_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":778 + * ctypedef npy_int8 int8_t + * ctypedef npy_int16 int16_t + * ctypedef npy_int32 int32_t # <<<<<<<<<<<<<< + * ctypedef npy_int64 int64_t + * #ctypedef npy_int96 int96_t + */ +typedef npy_int32 __pyx_t_5numpy_int32_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":779 + * ctypedef npy_int16 int16_t + * ctypedef npy_int32 int32_t + * ctypedef npy_int64 int64_t # <<<<<<<<<<<<<< + * #ctypedef npy_int96 int96_t + * #ctypedef npy_int128 int128_t + */ +typedef npy_int64 __pyx_t_5numpy_int64_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":783 + * #ctypedef npy_int128 int128_t + * + * ctypedef npy_uint8 uint8_t # <<<<<<<<<<<<<< + * ctypedef npy_uint16 uint16_t + * ctypedef npy_uint32 uint32_t + */ +typedef npy_uint8 __pyx_t_5numpy_uint8_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":784 + * + * ctypedef npy_uint8 uint8_t + * ctypedef npy_uint16 uint16_t # <<<<<<<<<<<<<< + * ctypedef npy_uint32 uint32_t + * ctypedef npy_uint64 uint64_t + */ +typedef npy_uint16 __pyx_t_5numpy_uint16_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":785 + * ctypedef npy_uint8 uint8_t + * ctypedef npy_uint16 uint16_t + * ctypedef npy_uint32 uint32_t # <<<<<<<<<<<<<< + * ctypedef npy_uint64 uint64_t + * #ctypedef npy_uint96 uint96_t + */ +typedef npy_uint32 __pyx_t_5numpy_uint32_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":786 + * ctypedef npy_uint16 uint16_t + * ctypedef npy_uint32 uint32_t + * ctypedef npy_uint64 uint64_t # <<<<<<<<<<<<<< + * #ctypedef npy_uint96 uint96_t + * #ctypedef npy_uint128 uint128_t + */ +typedef npy_uint64 __pyx_t_5numpy_uint64_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":790 + * #ctypedef npy_uint128 uint128_t + * + * ctypedef npy_float32 float32_t # <<<<<<<<<<<<<< + * ctypedef npy_float64 float64_t + * #ctypedef npy_float80 float80_t + */ +typedef npy_float32 __pyx_t_5numpy_float32_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":791 + * + * ctypedef npy_float32 float32_t + * ctypedef npy_float64 float64_t # <<<<<<<<<<<<<< + * #ctypedef npy_float80 float80_t + * #ctypedef npy_float128 float128_t + */ +typedef npy_float64 __pyx_t_5numpy_float64_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":800 + * # The int types are mapped a bit surprising -- + * # numpy.int corresponds to 'l' and numpy.long to 'q' + * ctypedef npy_long int_t # <<<<<<<<<<<<<< + * ctypedef npy_longlong long_t + * ctypedef npy_longlong longlong_t + */ +typedef npy_long __pyx_t_5numpy_int_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":801 + * # numpy.int corresponds to 'l' and numpy.long to 'q' + * ctypedef npy_long int_t + * ctypedef npy_longlong long_t # <<<<<<<<<<<<<< + * ctypedef npy_longlong longlong_t + * + */ +typedef npy_longlong __pyx_t_5numpy_long_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":802 + * ctypedef npy_long int_t + * ctypedef npy_longlong long_t + * ctypedef npy_longlong longlong_t # <<<<<<<<<<<<<< + * + * ctypedef npy_ulong uint_t + */ +typedef npy_longlong __pyx_t_5numpy_longlong_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":804 + * ctypedef npy_longlong longlong_t + * + * ctypedef npy_ulong uint_t # <<<<<<<<<<<<<< + * ctypedef npy_ulonglong ulong_t + * ctypedef npy_ulonglong ulonglong_t + */ +typedef npy_ulong __pyx_t_5numpy_uint_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":805 + * + * ctypedef npy_ulong uint_t + * ctypedef npy_ulonglong ulong_t # <<<<<<<<<<<<<< + * ctypedef npy_ulonglong ulonglong_t + * + */ +typedef npy_ulonglong __pyx_t_5numpy_ulong_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":806 + * ctypedef npy_ulong uint_t + * ctypedef npy_ulonglong ulong_t + * ctypedef npy_ulonglong ulonglong_t # <<<<<<<<<<<<<< + * + * ctypedef npy_intp intp_t + */ +typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":808 + * ctypedef npy_ulonglong ulonglong_t + * + * ctypedef npy_intp intp_t # <<<<<<<<<<<<<< + * ctypedef npy_uintp uintp_t + * + */ +typedef npy_intp __pyx_t_5numpy_intp_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":809 + * + * ctypedef npy_intp intp_t + * ctypedef npy_uintp uintp_t # <<<<<<<<<<<<<< + * + * ctypedef npy_double float_t + */ +typedef npy_uintp __pyx_t_5numpy_uintp_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":811 + * ctypedef npy_uintp uintp_t + * + * ctypedef npy_double float_t # <<<<<<<<<<<<<< + * ctypedef npy_double double_t + * ctypedef npy_longdouble longdouble_t + */ +typedef npy_double __pyx_t_5numpy_float_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":812 + * + * ctypedef npy_double float_t + * ctypedef npy_double double_t # <<<<<<<<<<<<<< + * ctypedef npy_longdouble longdouble_t + * + */ +typedef npy_double __pyx_t_5numpy_double_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":813 + * ctypedef npy_double float_t + * ctypedef npy_double double_t + * ctypedef npy_longdouble longdouble_t # <<<<<<<<<<<<<< + * + * ctypedef npy_cfloat cfloat_t + */ +typedef npy_longdouble __pyx_t_5numpy_longdouble_t; +/* Declarations.proto */ +#if CYTHON_CCOMPLEX + #ifdef __cplusplus + typedef ::std::complex< float > __pyx_t_float_complex; + #else + typedef float _Complex __pyx_t_float_complex; + #endif +#else + typedef struct { float real, imag; } __pyx_t_float_complex; +#endif +static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float); + +/* Declarations.proto */ +#if CYTHON_CCOMPLEX + #ifdef __cplusplus + typedef ::std::complex< double > __pyx_t_double_complex; + #else + typedef double _Complex __pyx_t_double_complex; + #endif +#else + typedef struct { double real, imag; } __pyx_t_double_complex; +#endif +static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double); 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+#else +#define __Pyx_PyErr_ExceptionMatches(err) PyErr_ExceptionMatches(err) +#endif + +/* GetException.proto */ +#if CYTHON_FAST_THREAD_STATE +#define __Pyx_GetException(type, value, tb) __Pyx__GetException(__pyx_tstate, type, value, tb) +static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb); +#else +static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb); +#endif + +/* PyObject_GenericGetAttrNoDict.proto */ +#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000 +static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name); +#else +#define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr +#endif + +/* PyObject_GenericGetAttr.proto */ +#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000 +static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name); +#else +#define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr +#endif + +/* SetupReduce.proto */ +static int __Pyx_setup_reduce(PyObject* type_obj); + +/* TypeImport.proto */ +#ifndef __PYX_HAVE_RT_ImportType_proto +#define __PYX_HAVE_RT_ImportType_proto +enum __Pyx_ImportType_CheckSize { + __Pyx_ImportType_CheckSize_Error = 0, + __Pyx_ImportType_CheckSize_Warn = 1, + __Pyx_ImportType_CheckSize_Ignore = 2 +}; +static PyTypeObject *__Pyx_ImportType(PyObject* module, const char *module_name, const char *class_name, size_t size, enum __Pyx_ImportType_CheckSize check_size); +#endif + +/* Import.proto */ +static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level); + +/* PyDictVersioning.proto */ +#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS +#define __PYX_DICT_VERSION_INIT ((PY_UINT64_T) -1) +#define __PYX_GET_DICT_VERSION(dict) (((PyDictObject*)(dict))->ma_version_tag) +#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\ + (version_var) = __PYX_GET_DICT_VERSION(dict);\ + (cache_var) = (value); +#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\ + static PY_UINT64_T __pyx_dict_version = 0;\ + static PyObject *__pyx_dict_cached_value = NULL;\ + if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\ + (VAR) = __pyx_dict_cached_value;\ + } else {\ + (VAR) = __pyx_dict_cached_value = (LOOKUP);\ + __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\ + }\ +} +static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj); +static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj); +static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version); +#else +#define __PYX_GET_DICT_VERSION(dict) (0) +#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var) +#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) (VAR) = (LOOKUP); +#endif + +/* CLineInTraceback.proto */ +#ifdef CYTHON_CLINE_IN_TRACEBACK +#define __Pyx_CLineForTraceback(tstate, c_line) (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0) +#else +static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line); +#endif + +/* CodeObjectCache.proto */ +typedef struct { + PyCodeObject* code_object; + int code_line; +} __Pyx_CodeObjectCacheEntry; +struct __Pyx_CodeObjectCache { + int count; + int max_count; + __Pyx_CodeObjectCacheEntry* entries; +}; +static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL}; +static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line); +static PyCodeObject *__pyx_find_code_object(int code_line); +static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object); + +/* AddTraceback.proto */ +static void __Pyx_AddTraceback(const char *funcname, int c_line, + int py_line, const char *filename); + +/* None.proto */ +#include + +/* BufferStructDeclare.proto */ +typedef struct { + Py_ssize_t shape, strides, suboffsets; +} __Pyx_Buf_DimInfo; +typedef struct { + size_t refcount; + Py_buffer pybuffer; +} __Pyx_Buffer; +typedef struct { + __Pyx_Buffer *rcbuffer; + char *data; + __Pyx_Buf_DimInfo diminfo[8]; +} __Pyx_LocalBuf_ND; + +#if PY_MAJOR_VERSION < 3 + static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags); + static void __Pyx_ReleaseBuffer(Py_buffer *view); +#else + #define __Pyx_GetBuffer PyObject_GetBuffer + #define __Pyx_ReleaseBuffer PyBuffer_Release +#endif + + +/* CppExceptionConversion.proto */ +#ifndef __Pyx_CppExn2PyErr +#include +#include +#include +#include +static void __Pyx_CppExn2PyErr() { + try { + if (PyErr_Occurred()) + ; // let the latest Python exn pass through and ignore the current one + else + throw; + } catch (const std::bad_alloc& exn) { + PyErr_SetString(PyExc_MemoryError, exn.what()); + } catch (const std::bad_cast& exn) { + PyErr_SetString(PyExc_TypeError, exn.what()); + } catch (const std::bad_typeid& exn) { + PyErr_SetString(PyExc_TypeError, exn.what()); + } catch (const std::domain_error& exn) { + PyErr_SetString(PyExc_ValueError, exn.what()); + } catch (const std::invalid_argument& exn) { + PyErr_SetString(PyExc_ValueError, exn.what()); + } catch (const std::ios_base::failure& exn) { + PyErr_SetString(PyExc_IOError, exn.what()); + } catch (const std::out_of_range& exn) { + PyErr_SetString(PyExc_IndexError, exn.what()); + } catch (const std::overflow_error& exn) { + PyErr_SetString(PyExc_OverflowError, exn.what()); + } catch (const std::range_error& exn) { + PyErr_SetString(PyExc_ArithmeticError, exn.what()); + } catch (const std::underflow_error& exn) { + PyErr_SetString(PyExc_ArithmeticError, exn.what()); + } catch (const std::exception& exn) { + PyErr_SetString(PyExc_RuntimeError, exn.what()); + } + catch (...) + { + PyErr_SetString(PyExc_RuntimeError, "Unknown exception"); + } +} +#endif + +/* RealImag.proto */ +#if CYTHON_CCOMPLEX + #ifdef __cplusplus + #define __Pyx_CREAL(z) ((z).real()) + #define __Pyx_CIMAG(z) ((z).imag()) + #else + #define __Pyx_CREAL(z) (__real__(z)) + #define __Pyx_CIMAG(z) (__imag__(z)) + #endif +#else + #define __Pyx_CREAL(z) ((z).real) + #define __Pyx_CIMAG(z) ((z).imag) +#endif +#if defined(__cplusplus) && CYTHON_CCOMPLEX\ + && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103) + #define __Pyx_SET_CREAL(z,x) ((z).real(x)) + #define __Pyx_SET_CIMAG(z,y) ((z).imag(y)) +#else + #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x) + #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y) +#endif + +/* Arithmetic.proto */ +#if CYTHON_CCOMPLEX + #define __Pyx_c_eq_float(a, b) ((a)==(b)) + #define __Pyx_c_sum_float(a, b) ((a)+(b)) + #define __Pyx_c_diff_float(a, b) ((a)-(b)) + #define __Pyx_c_prod_float(a, b) ((a)*(b)) + #define __Pyx_c_quot_float(a, b) ((a)/(b)) + #define __Pyx_c_neg_float(a) (-(a)) + #ifdef __cplusplus + #define __Pyx_c_is_zero_float(z) ((z)==(float)0) + #define __Pyx_c_conj_float(z) (::std::conj(z)) + #if 1 + #define __Pyx_c_abs_float(z) (::std::abs(z)) + #define __Pyx_c_pow_float(a, b) (::std::pow(a, b)) + #endif + #else + #define __Pyx_c_is_zero_float(z) ((z)==0) + #define __Pyx_c_conj_float(z) (conjf(z)) + #if 1 + #define __Pyx_c_abs_float(z) (cabsf(z)) + #define __Pyx_c_pow_float(a, b) (cpowf(a, b)) + #endif + #endif +#else + static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex); + static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex); + #if 1 + static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex); + #endif +#endif + +/* Arithmetic.proto */ +#if CYTHON_CCOMPLEX + #define __Pyx_c_eq_double(a, b) ((a)==(b)) + #define __Pyx_c_sum_double(a, b) ((a)+(b)) + #define __Pyx_c_diff_double(a, b) ((a)-(b)) + #define __Pyx_c_prod_double(a, b) ((a)*(b)) + #define __Pyx_c_quot_double(a, b) ((a)/(b)) + #define __Pyx_c_neg_double(a) (-(a)) + #ifdef __cplusplus + #define __Pyx_c_is_zero_double(z) ((z)==(double)0) + #define __Pyx_c_conj_double(z) (::std::conj(z)) + #if 1 + #define __Pyx_c_abs_double(z) (::std::abs(z)) + #define __Pyx_c_pow_double(a, b) (::std::pow(a, b)) + #endif + #else + #define __Pyx_c_is_zero_double(z) ((z)==0) + #define __Pyx_c_conj_double(z) (conj(z)) + #if 1 + #define __Pyx_c_abs_double(z) (cabs(z)) + #define __Pyx_c_pow_double(a, b) (cpow(a, b)) + #endif + #endif +#else + static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex); + static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex); + #if 1 + static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex); + #endif +#endif + +/* CIntToPy.proto */ +static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value); + +/* CIntToPy.proto */ +static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value); + +/* CIntFromPy.proto */ +static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *); + +/* CIntToPy.proto */ +static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value); + +/* CIntFromPy.proto */ +static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *); + +/* FastTypeChecks.proto */ +#if CYTHON_COMPILING_IN_CPYTHON +#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type) +static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b); +static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type); +static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2); +#else +#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type) +#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type) +#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2)) +#endif +#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception) + +/* CheckBinaryVersion.proto */ +static int __Pyx_check_binary_version(void); + +/* InitStrings.proto */ +static int __Pyx_InitStrings(__Pyx_StringTabEntry *t); + + +/* Module declarations from 'cpython.buffer' */ + +/* Module declarations from 'libc.string' */ + +/* Module declarations from 'libc.stdio' */ + +/* Module declarations from '__builtin__' */ + +/* Module declarations from 'cpython.type' */ +static PyTypeObject *__pyx_ptype_7cpython_4type_type = 0; + +/* Module declarations from 'cpython' */ + +/* Module declarations from 'cpython.object' */ + +/* Module declarations from 'cpython.ref' */ + +/* Module declarations from 'cpython.mem' */ + +/* Module declarations from 'numpy' */ + +/* Module declarations from 'numpy' */ +static PyTypeObject *__pyx_ptype_5numpy_dtype = 0; +static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0; +static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0; +static PyTypeObject *__pyx_ptype_5numpy_ndarray = 0; +static PyTypeObject *__pyx_ptype_5numpy_ufunc = 0; +static CYTHON_INLINE char *__pyx_f_5numpy__util_dtypestring(PyArray_Descr *, char *, char *, int *); /*proto*/ +static CYTHON_INLINE int __pyx_f_5numpy_import_array(void); /*proto*/ + +/* Module declarations from 'libcpp.string' */ + +/* Module declarations from 'FaceFrontalization_core_cython' */ +static PyTypeObject *__pyx_ptype_30FaceFrontalization_core_cython_PyFaceFrontalizationFilling = 0; +static PyTypeObject *__pyx_ptype_30FaceFrontalization_core_cython_PyFaceFrontalizationMappingBigTri = 0; +static PyTypeObject *__pyx_ptype_30FaceFrontalization_core_cython_PyFaceFrontalizationMapping = 0; +static __Pyx_TypeInfo __Pyx_TypeInfo_double = { "double", NULL, sizeof(double), { 0 }, 0, 'R', 0, 0 }; +#define __Pyx_MODULE_NAME "FaceFrontalization_core_cython" +extern int __pyx_module_is_main_FaceFrontalization_core_cython; +int __pyx_module_is_main_FaceFrontalization_core_cython = 0; + +/* Implementation of 'FaceFrontalization_core_cython' */ +static PyObject *__pyx_builtin_TypeError; +static PyObject *__pyx_builtin_ValueError; +static PyObject *__pyx_builtin_range; +static PyObject *__pyx_builtin_RuntimeError; +static PyObject *__pyx_builtin_ImportError; +static const char __pyx_k_np[] = "np"; +static const char __pyx_k_img[] = "img"; +static const char __pyx_k_main[] = "__main__"; +static const char __pyx_k_mask[] = "mask"; +static const char __pyx_k_name[] = "__name__"; +static const char __pyx_k_test[] = "__test__"; +static const char __pyx_k_numpy[] = "numpy"; +static const char __pyx_k_range[] = "range"; +static const char __pyx_k_width[] = "width"; +static const char __pyx_k_height[] = "height"; +static const char __pyx_k_import[] = "__import__"; +static const char __pyx_k_reduce[] = "__reduce__"; +static const char __pyx_k_all_tri[] = "all_tri"; +static const char __pyx_k_tri_ind[] = "tri_ind"; +static const char __pyx_k_getstate[] = "__getstate__"; +static const char __pyx_k_setstate[] = "__setstate__"; +static const char __pyx_k_sym_list[] = "sym_list"; +static const char __pyx_k_TypeError[] = "TypeError"; +static const char __pyx_k_nChannels[] = "nChannels"; +static const char __pyx_k_reduce_ex[] = "__reduce_ex__"; +static const char __pyx_k_ValueError[] = "ValueError"; +static const char __pyx_k_bg_tri_num[] = "bg_tri_num"; +static const char __pyx_k_corres_map[] = "corres_map"; +static const char __pyx_k_tri_length[] = "tri_length"; +static const char __pyx_k_ImportError[] = "ImportError"; +static const char __pyx_k_all_tri_dim[] = "all_tri_dim"; +static const char __pyx_k_all_ver_dim[] = "all_ver_dim"; +static const char __pyx_k_RuntimeError[] = "RuntimeError"; +static const char __pyx_k_sym_tri_list[] = "sym_tri_list"; +static const char __pyx_k_bg_vertex_num[] = "bg_vertex_num"; +static const char __pyx_k_reduce_cython[] = "__reduce_cython__"; +static const char __pyx_k_vertex_length[] = "vertex_length"; +static const char __pyx_k_all_tri_length[] = "all_tri_length"; +static const char __pyx_k_all_ver_length[] = "all_ver_length"; +static const char __pyx_k_all_vertex_ref[] = "all_vertex_ref"; +static const char __pyx_k_all_vertex_src[] = "all_vertex_src"; +static const char __pyx_k_corres_map_sym[] = "corres_map_sym"; +static const char __pyx_k_symlist_length[] = "symlist_length"; +static const char __pyx_k_valid_tri_half[] = "valid_tri_half"; +static const char __pyx_k_setstate_cython[] = "__setstate_cython__"; +static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback"; +static const char __pyx_k_PyFaceFrontalizationFilling[] = "PyFaceFrontalizationFilling"; +static const char __pyx_k_PyFaceFrontalizationMapping[] = "PyFaceFrontalizationMapping"; +static const char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous"; +static const char __pyx_k_numpy_core_multiarray_failed_to[] = "numpy.core.multiarray failed to import"; +static const char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)"; +static const char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd"; +static const char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported"; +static const char __pyx_k_PyFaceFrontalizationMappingBigTr[] = "PyFaceFrontalizationMappingBigTri"; +static const char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous"; +static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__"; +static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import"; +static const char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short."; +static PyObject *__pyx_kp_u_Format_string_allocated_too_shor; +static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2; +static PyObject *__pyx_n_s_ImportError; +static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor; +static PyObject *__pyx_n_s_PyFaceFrontalizationFilling; +static PyObject *__pyx_n_s_PyFaceFrontalizationMapping; +static PyObject *__pyx_n_s_PyFaceFrontalizationMappingBigTr; +static PyObject *__pyx_n_s_RuntimeError; +static PyObject *__pyx_n_s_TypeError; +static PyObject *__pyx_n_s_ValueError; +static PyObject *__pyx_n_s_all_tri; +static PyObject *__pyx_n_s_all_tri_dim; +static PyObject *__pyx_n_s_all_tri_length; +static PyObject *__pyx_n_s_all_ver_dim; +static PyObject *__pyx_n_s_all_ver_length; +static PyObject *__pyx_n_s_all_vertex_ref; +static PyObject *__pyx_n_s_all_vertex_src; +static PyObject *__pyx_n_s_bg_tri_num; +static PyObject *__pyx_n_s_bg_vertex_num; +static PyObject *__pyx_n_s_cline_in_traceback; +static PyObject *__pyx_n_s_corres_map; +static PyObject *__pyx_n_s_corres_map_sym; +static PyObject *__pyx_n_s_getstate; +static PyObject *__pyx_n_s_height; +static PyObject *__pyx_n_s_img; +static PyObject *__pyx_n_s_import; +static PyObject *__pyx_n_s_main; +static PyObject *__pyx_n_s_mask; +static PyObject *__pyx_n_s_nChannels; +static PyObject *__pyx_n_s_name; +static PyObject *__pyx_kp_u_ndarray_is_not_C_contiguous; +static PyObject *__pyx_kp_u_ndarray_is_not_Fortran_contiguou; +static PyObject *__pyx_kp_s_no_default___reduce___due_to_non; +static PyObject *__pyx_n_s_np; +static PyObject *__pyx_n_s_numpy; +static PyObject *__pyx_kp_s_numpy_core_multiarray_failed_to; +static PyObject *__pyx_kp_s_numpy_core_umath_failed_to_impor; +static PyObject *__pyx_n_s_range; +static PyObject *__pyx_n_s_reduce; +static PyObject *__pyx_n_s_reduce_cython; +static PyObject *__pyx_n_s_reduce_ex; +static PyObject *__pyx_n_s_setstate; +static PyObject *__pyx_n_s_setstate_cython; +static PyObject *__pyx_n_s_sym_list; +static PyObject *__pyx_n_s_sym_tri_list; +static PyObject *__pyx_n_s_symlist_length; +static PyObject *__pyx_n_s_test; +static PyObject *__pyx_n_s_tri_ind; +static PyObject *__pyx_n_s_tri_length; +static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd; +static PyObject *__pyx_n_s_valid_tri_half; +static PyObject *__pyx_n_s_vertex_length; +static PyObject *__pyx_n_s_width; +static int __pyx_pf_30FaceFrontalization_core_cython_27PyFaceFrontalizationFilling___cinit__(struct __pyx_obj_30FaceFrontalization_core_cython_PyFaceFrontalizationFilling *__pyx_v_self, PyArrayObject *__pyx_v_img, int __pyx_v_width, int __pyx_v_height, int __pyx_v_nChannels, PyArrayObject *__pyx_v_corres_map); /* proto */ +static PyObject *__pyx_pf_30FaceFrontalization_core_cython_27PyFaceFrontalizationFilling_2frontalization_filling(struct __pyx_obj_30FaceFrontalization_core_cython_PyFaceFrontalizationFilling *__pyx_v_self, PyArrayObject *__pyx_v_result); /* proto */ +static PyObject *__pyx_pf_30FaceFrontalization_core_cython_27PyFaceFrontalizationFilling_4__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_30FaceFrontalization_core_cython_PyFaceFrontalizationFilling *__pyx_v_self); /* proto */ +static PyObject *__pyx_pf_30FaceFrontalization_core_cython_27PyFaceFrontalizationFilling_6__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_30FaceFrontalization_core_cython_PyFaceFrontalizationFilling *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */ +static int __pyx_pf_30FaceFrontalization_core_cython_33PyFaceFrontalizationMappingBigTri___cinit__(struct __pyx_obj_30FaceFrontalization_core_cython_PyFaceFrontalizationMappingBigTri *__pyx_v_self, PyArrayObject *__pyx_v_mask, PyArrayObject *__pyx_v_tri_ind, int __pyx_v_width, int __pyx_v_height, int __pyx_v_nChannels, PyArrayObject *__pyx_v_all_vertex_src, PyArrayObject *__pyx_v_all_vertex_ref, int __pyx_v_all_ver_dim, int __pyx_v_all_ver_length, PyArrayObject *__pyx_v_all_tri, int __pyx_v_all_tri_dim, int __pyx_v_all_tri_length, int __pyx_v_bg_tri_num, int __pyx_v_bg_vertex_num, PyArrayObject *__pyx_v_valid_tri_half, int __pyx_v_vertex_length, int __pyx_v_tri_length, PyArrayObject *__pyx_v_sym_tri_list, int __pyx_v_symlist_length); /* proto */ +static PyObject *__pyx_pf_30FaceFrontalization_core_cython_33PyFaceFrontalizationMappingBigTri_2frontalization_mapping_big_tri(struct __pyx_obj_30FaceFrontalization_core_cython_PyFaceFrontalizationMappingBigTri *__pyx_v_self, PyArrayObject *__pyx_v_corres_map, PyArrayObject *__pyx_v_corres_map_sym); /* proto */ +static PyObject *__pyx_pf_30FaceFrontalization_core_cython_33PyFaceFrontalizationMappingBigTri_4__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_30FaceFrontalization_core_cython_PyFaceFrontalizationMappingBigTri *__pyx_v_self); /* proto */ +static PyObject *__pyx_pf_30FaceFrontalization_core_cython_33PyFaceFrontalizationMappingBigTri_6__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_30FaceFrontalization_core_cython_PyFaceFrontalizationMappingBigTri *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */ +static int __pyx_pf_30FaceFrontalization_core_cython_27PyFaceFrontalizationMapping___cinit__(struct __pyx_obj_30FaceFrontalization_core_cython_PyFaceFrontalizationMapping *__pyx_v_self, PyArrayObject *__pyx_v_mask, PyArrayObject *__pyx_v_tri_ind, int __pyx_v_width, int __pyx_v_height, int __pyx_v_nChannels, PyArrayObject *__pyx_v_all_vertex_src, PyArrayObject *__pyx_v_all_vertex_ref, int __pyx_v_all_ver_dim, int __pyx_v_all_ver_length, PyArrayObject *__pyx_v_all_tri, int __pyx_v_all_tri_dim, int __pyx_v_all_tri_length, int __pyx_v_bg_tri_num, PyArrayObject *__pyx_v_valid_tri_half, int __pyx_v_vertex_length, int __pyx_v_tri_length, PyArrayObject *__pyx_v_sym_list, CYTHON_UNUSED int __pyx_v_symlist_length); /* proto */ +static PyObject *__pyx_pf_30FaceFrontalization_core_cython_27PyFaceFrontalizationMapping_2frontalization_mapping(struct __pyx_obj_30FaceFrontalization_core_cython_PyFaceFrontalizationMapping *__pyx_v_self, PyArrayObject *__pyx_v_corres_map, PyArrayObject *__pyx_v_corres_map_sym); /* proto */ +static PyObject *__pyx_pf_30FaceFrontalization_core_cython_27PyFaceFrontalizationMapping_4__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_30FaceFrontalization_core_cython_PyFaceFrontalizationMapping *__pyx_v_self); /* proto */ +static PyObject *__pyx_pf_30FaceFrontalization_core_cython_27PyFaceFrontalizationMapping_6__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_30FaceFrontalization_core_cython_PyFaceFrontalizationMapping *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */ +static int __pyx_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */ +static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info); 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/*proto*/ +static int __pyx_pw_30FaceFrontalization_core_cython_27PyFaceFrontalizationFilling_1__cinit__(PyObject *__pyx_v_self, PyObject *__pyx_args, PyObject *__pyx_kwds) { + PyArrayObject *__pyx_v_img = 0; + int __pyx_v_width; + int __pyx_v_height; + int __pyx_v_nChannels; + PyArrayObject *__pyx_v_corres_map = 0; + int __pyx_r; + __Pyx_RefNannyDeclarations + __Pyx_RefNannySetupContext("__cinit__ (wrapper)", 0); + { + static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_img,&__pyx_n_s_width,&__pyx_n_s_height,&__pyx_n_s_nChannels,&__pyx_n_s_corres_map,0}; + PyObject* values[5] = {0,0,0,0,0}; + if (unlikely(__pyx_kwds)) { + Py_ssize_t kw_args; + const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args); + switch (pos_args) { + case 5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4); + CYTHON_FALLTHROUGH; + case 4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3); + CYTHON_FALLTHROUGH; + case 3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2); + CYTHON_FALLTHROUGH; + case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1); 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__Pyx_call_destructor(p->FF); + (*Py_TYPE(o)->tp_free)(o); +} + +static PyMethodDef __pyx_methods_30FaceFrontalization_core_cython_PyFaceFrontalizationFilling[] = { + {"frontalization_filling", (PyCFunction)__pyx_pw_30FaceFrontalization_core_cython_27PyFaceFrontalizationFilling_3frontalization_filling, METH_O, 0}, + {"__reduce_cython__", (PyCFunction)__pyx_pw_30FaceFrontalization_core_cython_27PyFaceFrontalizationFilling_5__reduce_cython__, METH_NOARGS, 0}, + {"__setstate_cython__", (PyCFunction)__pyx_pw_30FaceFrontalization_core_cython_27PyFaceFrontalizationFilling_7__setstate_cython__, METH_O, 0}, + {0, 0, 0, 0} +}; + +static PyTypeObject __pyx_type_30FaceFrontalization_core_cython_PyFaceFrontalizationFilling = { + PyVarObject_HEAD_INIT(0, 0) + "FaceFrontalization_core_cython.PyFaceFrontalizationFilling", /*tp_name*/ + sizeof(struct __pyx_obj_30FaceFrontalization_core_cython_PyFaceFrontalizationFilling), /*tp_basicsize*/ + 0, /*tp_itemsize*/ + 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(unlikely(__pyx_pw_30FaceFrontalization_core_cython_33PyFaceFrontalizationMappingBigTri_1__cinit__(o, a, k) < 0)) goto bad; + return o; + bad: + Py_DECREF(o); o = 0; + return NULL; +} + +static void __pyx_tp_dealloc_30FaceFrontalization_core_cython_PyFaceFrontalizationMappingBigTri(PyObject *o) { + struct __pyx_obj_30FaceFrontalization_core_cython_PyFaceFrontalizationMappingBigTri *p = (struct __pyx_obj_30FaceFrontalization_core_cython_PyFaceFrontalizationMappingBigTri *)o; + #if CYTHON_USE_TP_FINALIZE + if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) { + if (PyObject_CallFinalizerFromDealloc(o)) return; + } + #endif + __Pyx_call_destructor(p->FF); + (*Py_TYPE(o)->tp_free)(o); +} + +static PyMethodDef __pyx_methods_30FaceFrontalization_core_cython_PyFaceFrontalizationMappingBigTri[] = { + {"frontalization_mapping_big_tri", 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"" : "s", num_found); +} + +/* RaiseDoubleKeywords */ +static void __Pyx_RaiseDoubleKeywordsError( + const char* func_name, + PyObject* kw_name) +{ + PyErr_Format(PyExc_TypeError, + #if PY_MAJOR_VERSION >= 3 + "%s() got multiple values for keyword argument '%U'", func_name, kw_name); + #else + "%s() got multiple values for keyword argument '%s'", func_name, + PyString_AsString(kw_name)); + #endif +} + +/* ParseKeywords */ +static int __Pyx_ParseOptionalKeywords( + PyObject *kwds, + PyObject **argnames[], + PyObject *kwds2, + PyObject *values[], + Py_ssize_t num_pos_args, + const char* function_name) +{ + PyObject *key = 0, *value = 0; + Py_ssize_t pos = 0; + PyObject*** name; + PyObject*** first_kw_arg = argnames + num_pos_args; + while (PyDict_Next(kwds, &pos, &key, &value)) { + name = first_kw_arg; + while (*name && (**name != key)) name++; + if (*name) { + values[name-argnames] = value; + continue; + } + name = first_kw_arg; + #if PY_MAJOR_VERSION < 3 + if (likely(PyString_CheckExact(key)) || likely(PyString_Check(key))) { + while (*name) { + if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key)) + && _PyString_Eq(**name, key)) { + values[name-argnames] = value; + break; + } + name++; + } + if (*name) continue; + else { + PyObject*** argname = argnames; + while (argname != first_kw_arg) { + if ((**argname == key) || ( + (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key)) + && _PyString_Eq(**argname, key))) { + goto arg_passed_twice; + } + argname++; + } + } + } else + #endif + if (likely(PyUnicode_Check(key))) { + while (*name) { + int cmp = (**name == key) ? 0 : + #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3 + (PyUnicode_GET_SIZE(**name) != PyUnicode_GET_SIZE(key)) ? 1 : + #endif + PyUnicode_Compare(**name, key); + if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad; + if (cmp == 0) { + values[name-argnames] = value; + break; + } + name++; + } + if (*name) continue; + else { + PyObject*** argname = argnames; + while (argname != first_kw_arg) { + int cmp = (**argname == key) ? 0 : + #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3 + (PyUnicode_GET_SIZE(**argname) != PyUnicode_GET_SIZE(key)) ? 1 : + #endif + PyUnicode_Compare(**argname, key); + if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad; + if (cmp == 0) goto arg_passed_twice; + argname++; + } + } + } else + goto invalid_keyword_type; + if (kwds2) { + if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad; + } else { + goto invalid_keyword; + } + } + return 0; +arg_passed_twice: + __Pyx_RaiseDoubleKeywordsError(function_name, key); + goto bad; +invalid_keyword_type: + PyErr_Format(PyExc_TypeError, + "%.200s() keywords must be strings", function_name); + goto bad; +invalid_keyword: + PyErr_Format(PyExc_TypeError, + #if PY_MAJOR_VERSION < 3 + "%.200s() got an unexpected keyword argument '%.200s'", + function_name, PyString_AsString(key)); + #else + "%s() got an unexpected keyword argument '%U'", + function_name, key); + #endif +bad: + return -1; +} + +/* ArgTypeTest */ +static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact) +{ + if (unlikely(!type)) { + PyErr_SetString(PyExc_SystemError, "Missing type object"); + return 0; + } + else if (exact) { + #if PY_MAJOR_VERSION == 2 + if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1; + #endif + } + else { + if (likely(__Pyx_TypeCheck(obj, type))) return 1; + } + PyErr_Format(PyExc_TypeError, + "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)", + name, type->tp_name, Py_TYPE(obj)->tp_name); + return 0; +} + +/* IsLittleEndian */ +static CYTHON_INLINE int __Pyx_Is_Little_Endian(void) +{ + union { + uint32_t u32; + uint8_t u8[4]; + } S; + S.u32 = 0x01020304; + return S.u8[0] == 4; +} + +/* BufferFormatCheck */ +static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx, + __Pyx_BufFmt_StackElem* stack, + __Pyx_TypeInfo* type) { + stack[0].field = &ctx->root; + stack[0].parent_offset = 0; + ctx->root.type = type; + ctx->root.name = "buffer dtype"; + ctx->root.offset = 0; + ctx->head = stack; + ctx->head->field = &ctx->root; + ctx->fmt_offset = 0; + ctx->head->parent_offset = 0; + ctx->new_packmode = '@'; + ctx->enc_packmode = '@'; + ctx->new_count = 1; + ctx->enc_count = 0; + ctx->enc_type = 0; + ctx->is_complex = 0; + ctx->is_valid_array = 0; + ctx->struct_alignment = 0; + while (type->typegroup == 'S') { + ++ctx->head; + ctx->head->field = type->fields; + ctx->head->parent_offset = 0; + type = type->fields->type; + } +} +static int __Pyx_BufFmt_ParseNumber(const char** ts) { + int count; + const char* t = *ts; + if (*t < '0' || *t > '9') { + return -1; + } else { + count = *t++ - '0'; + while (*t >= '0' && *t <= '9') { + count *= 10; + count += *t++ - '0'; + } + } + *ts = t; + return count; +} +static int __Pyx_BufFmt_ExpectNumber(const char **ts) { + int number = __Pyx_BufFmt_ParseNumber(ts); + if (number == -1) + PyErr_Format(PyExc_ValueError,\ + "Does not understand character buffer dtype format string ('%c')", **ts); + return number; +} +static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) { + PyErr_Format(PyExc_ValueError, + "Unexpected format string character: '%c'", ch); +} +static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) { + switch (ch) { + case 'c': return "'char'"; + case 'b': return "'signed char'"; + case 'B': return "'unsigned char'"; + case 'h': return "'short'"; + case 'H': return "'unsigned short'"; + case 'i': return "'int'"; + case 'I': return "'unsigned int'"; + case 'l': return "'long'"; + case 'L': return "'unsigned long'"; + case 'q': return "'long long'"; + case 'Q': return "'unsigned long long'"; + case 'f': return (is_complex ? "'complex float'" : "'float'"); + case 'd': return (is_complex ? "'complex double'" : "'double'"); + case 'g': return (is_complex ? "'complex long double'" : "'long double'"); + case 'T': return "a struct"; + case 'O': return "Python object"; + case 'P': return "a pointer"; + case 's': case 'p': return "a string"; + case 0: return "end"; + default: return "unparseable format string"; + } +} +static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) { + switch (ch) { + case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1; + case 'h': case 'H': return 2; + case 'i': case 'I': case 'l': case 'L': return 4; + case 'q': case 'Q': return 8; + case 'f': return (is_complex ? 8 : 4); + case 'd': return (is_complex ? 16 : 8); + case 'g': { + PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g').."); + return 0; + } + case 'O': case 'P': return sizeof(void*); + default: + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } +} +static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) { + switch (ch) { + case 'c': case 'b': case 'B': case 's': case 'p': return 1; + case 'h': case 'H': return sizeof(short); + case 'i': case 'I': return sizeof(int); + case 'l': case 'L': return sizeof(long); + #ifdef HAVE_LONG_LONG + case 'q': case 'Q': return sizeof(PY_LONG_LONG); + #endif + case 'f': return sizeof(float) * (is_complex ? 2 : 1); + case 'd': return sizeof(double) * (is_complex ? 2 : 1); + case 'g': return sizeof(long double) * (is_complex ? 2 : 1); + case 'O': case 'P': return sizeof(void*); + default: { + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } + } +} +typedef struct { char c; short x; } __Pyx_st_short; +typedef struct { char c; int x; } __Pyx_st_int; +typedef struct { char c; long x; } __Pyx_st_long; +typedef struct { char c; float x; } __Pyx_st_float; +typedef struct { char c; double x; } __Pyx_st_double; +typedef struct { char c; long double x; } __Pyx_st_longdouble; +typedef struct { char c; void *x; } __Pyx_st_void_p; +#ifdef HAVE_LONG_LONG +typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong; +#endif +static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) { + switch (ch) { + case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1; + case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short); + case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int); + case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long); +#ifdef HAVE_LONG_LONG + case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG); +#endif + case 'f': return sizeof(__Pyx_st_float) - sizeof(float); + case 'd': return sizeof(__Pyx_st_double) - sizeof(double); + case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double); + case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*); + default: + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } +} +/* These are for computing the padding at the end of the struct to align + on the first member of the struct. This will probably the same as above, + but we don't have any guarantees. + */ +typedef struct { short x; char c; } __Pyx_pad_short; +typedef struct { int x; char c; } __Pyx_pad_int; +typedef struct { long x; char c; } __Pyx_pad_long; +typedef struct { float x; char c; } __Pyx_pad_float; +typedef struct { double x; char c; } __Pyx_pad_double; +typedef struct { long double x; char c; } __Pyx_pad_longdouble; +typedef struct { void *x; char c; } __Pyx_pad_void_p; +#ifdef HAVE_LONG_LONG +typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong; +#endif +static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) { + switch (ch) { + case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1; + case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short); + case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int); + case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long); +#ifdef HAVE_LONG_LONG + case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG); +#endif + case 'f': return sizeof(__Pyx_pad_float) - sizeof(float); + case 'd': return sizeof(__Pyx_pad_double) - sizeof(double); + case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double); + case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*); + default: + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } +} +static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) { + switch (ch) { + case 'c': + return 'H'; + case 'b': case 'h': case 'i': + case 'l': case 'q': case 's': case 'p': + return 'I'; + case 'B': case 'H': case 'I': case 'L': case 'Q': + return 'U'; + case 'f': case 'd': case 'g': + return (is_complex ? 'C' : 'R'); + case 'O': + return 'O'; + case 'P': + return 'P'; + default: { + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } + } +} +static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) { + if (ctx->head == NULL || ctx->head->field == &ctx->root) { + const char* expected; + const char* quote; + if (ctx->head == NULL) { + expected = "end"; + quote = ""; + } else { + expected = ctx->head->field->type->name; + quote = "'"; + } + PyErr_Format(PyExc_ValueError, + "Buffer dtype mismatch, expected %s%s%s but got %s", + quote, expected, quote, + __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex)); + } else { + __Pyx_StructField* field = ctx->head->field; + __Pyx_StructField* parent = (ctx->head - 1)->field; + PyErr_Format(PyExc_ValueError, + "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'", + field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex), + parent->type->name, field->name); + } +} +static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) { + char group; + size_t size, offset, arraysize = 1; + if (ctx->enc_type == 0) return 0; + if (ctx->head->field->type->arraysize[0]) { + int i, ndim = 0; + if (ctx->enc_type == 's' || ctx->enc_type == 'p') { + ctx->is_valid_array = ctx->head->field->type->ndim == 1; + ndim = 1; + if (ctx->enc_count != ctx->head->field->type->arraysize[0]) { + PyErr_Format(PyExc_ValueError, + "Expected a dimension of size %zu, got %zu", + ctx->head->field->type->arraysize[0], ctx->enc_count); + return -1; + } + } + if (!ctx->is_valid_array) { + PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d", + ctx->head->field->type->ndim, ndim); + return -1; + } + for (i = 0; i < ctx->head->field->type->ndim; i++) { + arraysize *= ctx->head->field->type->arraysize[i]; + } + ctx->is_valid_array = 0; + ctx->enc_count = 1; + } + group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex); + do { + __Pyx_StructField* field = ctx->head->field; + __Pyx_TypeInfo* type = field->type; + if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') { + size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex); + } else { + size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex); + } + if (ctx->enc_packmode == '@') { + size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex); + size_t align_mod_offset; + if (align_at == 0) return -1; + align_mod_offset = ctx->fmt_offset % align_at; + if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset; + if (ctx->struct_alignment == 0) + ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type, + ctx->is_complex); + } + if (type->size != size || type->typegroup != group) { + if (type->typegroup == 'C' && type->fields != NULL) { + size_t parent_offset = ctx->head->parent_offset + field->offset; + ++ctx->head; + ctx->head->field = type->fields; + ctx->head->parent_offset = parent_offset; + continue; + } + if ((type->typegroup == 'H' || group == 'H') && type->size == size) { + } else { + __Pyx_BufFmt_RaiseExpected(ctx); + return -1; + } + } + offset = ctx->head->parent_offset + field->offset; + if (ctx->fmt_offset != offset) { + PyErr_Format(PyExc_ValueError, + "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected", + (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset); + return -1; + } + ctx->fmt_offset += size; + if (arraysize) + ctx->fmt_offset += (arraysize - 1) * size; + --ctx->enc_count; + while (1) { + if (field == &ctx->root) { + ctx->head = NULL; + if (ctx->enc_count != 0) { + __Pyx_BufFmt_RaiseExpected(ctx); + return -1; + } + break; + } + ctx->head->field = ++field; + if (field->type == NULL) { + --ctx->head; + field = ctx->head->field; + continue; + } else if (field->type->typegroup == 'S') { + size_t parent_offset = ctx->head->parent_offset + field->offset; + if (field->type->fields->type == NULL) continue; + field = field->type->fields; + ++ctx->head; + ctx->head->field = field; + ctx->head->parent_offset = parent_offset; + break; + } else { + break; + } + } + } while (ctx->enc_count); + ctx->enc_type = 0; + ctx->is_complex = 0; + return 0; +} +static PyObject * +__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp) +{ + const char *ts = *tsp; + int i = 0, number; + int ndim = ctx->head->field->type->ndim; +; + ++ts; + if (ctx->new_count != 1) { + PyErr_SetString(PyExc_ValueError, + "Cannot handle repeated arrays in format string"); + return NULL; + } + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + while (*ts && *ts != ')') { + switch (*ts) { + case ' ': case '\f': case '\r': case '\n': case '\t': case '\v': continue; + default: break; + } + number = __Pyx_BufFmt_ExpectNumber(&ts); + if (number == -1) return NULL; + if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i]) + return PyErr_Format(PyExc_ValueError, + "Expected a dimension of size %zu, got %d", + ctx->head->field->type->arraysize[i], number); + if (*ts != ',' && *ts != ')') + return PyErr_Format(PyExc_ValueError, + "Expected a comma in format string, got '%c'", *ts); + if (*ts == ',') ts++; + i++; + } + if (i != ndim) + return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d", + ctx->head->field->type->ndim, i); + if (!*ts) { + PyErr_SetString(PyExc_ValueError, + "Unexpected end of format string, expected ')'"); + return NULL; + } + ctx->is_valid_array = 1; + ctx->new_count = 1; + *tsp = ++ts; + return Py_None; +} +static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) { + int got_Z = 0; + while (1) { + switch(*ts) { + case 0: + if (ctx->enc_type != 0 && ctx->head == NULL) { + __Pyx_BufFmt_RaiseExpected(ctx); + return NULL; + } + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + if (ctx->head != NULL) { + __Pyx_BufFmt_RaiseExpected(ctx); + return NULL; + } + return ts; + case ' ': + case '\r': + case '\n': + ++ts; + break; + case '<': + if (!__Pyx_Is_Little_Endian()) { + PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler"); + return NULL; + } + ctx->new_packmode = '='; + ++ts; + break; + case '>': + case '!': + if (__Pyx_Is_Little_Endian()) { + PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler"); + return NULL; + } + ctx->new_packmode = '='; + ++ts; + break; + case '=': + case '@': + case '^': + ctx->new_packmode = *ts++; + break; + case 'T': + { + const char* ts_after_sub; + size_t i, struct_count = ctx->new_count; + size_t struct_alignment = ctx->struct_alignment; + ctx->new_count = 1; + ++ts; + if (*ts != '{') { + PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'"); + return NULL; + } + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + ctx->enc_type = 0; + ctx->enc_count = 0; + ctx->struct_alignment = 0; + ++ts; + ts_after_sub = ts; + for (i = 0; i != struct_count; ++i) { + ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts); + if (!ts_after_sub) return NULL; + } + ts = ts_after_sub; + if (struct_alignment) ctx->struct_alignment = struct_alignment; + } + break; + case '}': + { + size_t alignment = ctx->struct_alignment; + ++ts; + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + ctx->enc_type = 0; + if (alignment && ctx->fmt_offset % alignment) { + ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment); + } + } + return ts; + case 'x': + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + ctx->fmt_offset += ctx->new_count; + ctx->new_count = 1; + ctx->enc_count = 0; + ctx->enc_type = 0; + ctx->enc_packmode = ctx->new_packmode; + ++ts; + break; + case 'Z': + got_Z = 1; + ++ts; + if (*ts != 'f' && *ts != 'd' && *ts != 'g') { + __Pyx_BufFmt_RaiseUnexpectedChar('Z'); + return NULL; + } + CYTHON_FALLTHROUGH; + case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I': + case 'l': case 'L': case 'q': case 'Q': + case 'f': case 'd': case 'g': + case 'O': case 'p': + if (ctx->enc_type == *ts && got_Z == ctx->is_complex && + ctx->enc_packmode == ctx->new_packmode) { + ctx->enc_count += ctx->new_count; + ctx->new_count = 1; + got_Z = 0; + ++ts; + break; + } + CYTHON_FALLTHROUGH; + case 's': + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + ctx->enc_count = ctx->new_count; + ctx->enc_packmode = ctx->new_packmode; + ctx->enc_type = *ts; + ctx->is_complex = got_Z; + ++ts; + ctx->new_count = 1; + got_Z = 0; + break; + case ':': + ++ts; + while(*ts != ':') ++ts; + ++ts; + break; + case '(': + if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL; + break; + default: + { + int number = __Pyx_BufFmt_ExpectNumber(&ts); + if (number == -1) return NULL; + ctx->new_count = (size_t)number; + } + } + } +} + +/* BufferGetAndValidate */ + static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) { + if (unlikely(info->buf == NULL)) return; + if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL; + __Pyx_ReleaseBuffer(info); +} +static void __Pyx_ZeroBuffer(Py_buffer* buf) { + buf->buf = NULL; + buf->obj = NULL; + buf->strides = __Pyx_zeros; + buf->shape = __Pyx_zeros; + buf->suboffsets = __Pyx_minusones; +} +static int __Pyx__GetBufferAndValidate( + Py_buffer* buf, PyObject* obj, __Pyx_TypeInfo* dtype, int flags, + int nd, int cast, __Pyx_BufFmt_StackElem* stack) +{ + buf->buf = NULL; + if (unlikely(__Pyx_GetBuffer(obj, buf, flags) == -1)) { + __Pyx_ZeroBuffer(buf); + return -1; + } + if (unlikely(buf->ndim != nd)) { + PyErr_Format(PyExc_ValueError, + "Buffer has wrong number of dimensions (expected %d, got %d)", + nd, buf->ndim); + goto fail; + } + if (!cast) { + __Pyx_BufFmt_Context ctx; + __Pyx_BufFmt_Init(&ctx, stack, dtype); + if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail; + } + if (unlikely((size_t)buf->itemsize != dtype->size)) { + PyErr_Format(PyExc_ValueError, + "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)", + buf->itemsize, (buf->itemsize > 1) ? "s" : "", + dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : ""); + goto fail; + } + if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones; + return 0; +fail:; + __Pyx_SafeReleaseBuffer(buf); + return -1; +} + +/* PyErrFetchRestore */ + #if CYTHON_FAST_THREAD_STATE +static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) { + PyObject *tmp_type, *tmp_value, *tmp_tb; + tmp_type = tstate->curexc_type; + tmp_value = tstate->curexc_value; + tmp_tb = tstate->curexc_traceback; + tstate->curexc_type = type; + tstate->curexc_value = value; + tstate->curexc_traceback = tb; + Py_XDECREF(tmp_type); + Py_XDECREF(tmp_value); + Py_XDECREF(tmp_tb); +} +static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) { + *type = tstate->curexc_type; + *value = tstate->curexc_value; + *tb = tstate->curexc_traceback; + tstate->curexc_type = 0; + tstate->curexc_value = 0; + tstate->curexc_traceback = 0; +} +#endif + +/* PyObjectCall */ + #if CYTHON_COMPILING_IN_CPYTHON +static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) { + PyObject *result; + ternaryfunc call = func->ob_type->tp_call; + if (unlikely(!call)) + return PyObject_Call(func, arg, kw); + if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object"))) + return NULL; + result = (*call)(func, arg, kw); + Py_LeaveRecursiveCall(); + if (unlikely(!result) && unlikely(!PyErr_Occurred())) { + PyErr_SetString( + PyExc_SystemError, + "NULL result without error in PyObject_Call"); + } + return result; +} +#endif + +/* RaiseException */ + #if PY_MAJOR_VERSION < 3 +static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, + CYTHON_UNUSED PyObject *cause) { + __Pyx_PyThreadState_declare + Py_XINCREF(type); + if (!value || value == Py_None) + value = NULL; + else + Py_INCREF(value); + if (!tb || tb == Py_None) + tb = NULL; + else { + Py_INCREF(tb); + if (!PyTraceBack_Check(tb)) { + PyErr_SetString(PyExc_TypeError, + "raise: arg 3 must be a traceback or None"); + goto raise_error; + } + } + if (PyType_Check(type)) { +#if CYTHON_COMPILING_IN_PYPY + if (!value) { + Py_INCREF(Py_None); + value = Py_None; + } +#endif + PyErr_NormalizeException(&type, &value, &tb); + } else { + if (value) { + PyErr_SetString(PyExc_TypeError, + "instance exception may not have a separate value"); + goto raise_error; + } + value = type; + type = (PyObject*) Py_TYPE(type); + Py_INCREF(type); + if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) { + PyErr_SetString(PyExc_TypeError, + "raise: exception class must be a subclass of BaseException"); + goto raise_error; + } + } + __Pyx_PyThreadState_assign + __Pyx_ErrRestore(type, value, tb); + return; +raise_error: + Py_XDECREF(value); + Py_XDECREF(type); + Py_XDECREF(tb); + return; +} +#else +static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) { + PyObject* owned_instance = NULL; + if (tb == Py_None) { + tb = 0; + } else if (tb && !PyTraceBack_Check(tb)) { + PyErr_SetString(PyExc_TypeError, + "raise: arg 3 must be a traceback or None"); + goto bad; + } + if (value == Py_None) + value = 0; + if (PyExceptionInstance_Check(type)) { + if (value) { + PyErr_SetString(PyExc_TypeError, + "instance exception may not have a separate value"); + goto bad; + } + value = type; + type = (PyObject*) Py_TYPE(value); + } else if (PyExceptionClass_Check(type)) { + PyObject *instance_class = NULL; + if (value && PyExceptionInstance_Check(value)) { + instance_class = (PyObject*) Py_TYPE(value); + if (instance_class != type) { + int is_subclass = PyObject_IsSubclass(instance_class, type); + if (!is_subclass) { + instance_class = NULL; + } else if (unlikely(is_subclass == -1)) { + goto bad; + } else { + type = instance_class; + } + } + } + if (!instance_class) { + PyObject *args; + if (!value) + args = PyTuple_New(0); + else if (PyTuple_Check(value)) { + Py_INCREF(value); + args = value; + } else + args = PyTuple_Pack(1, value); + if (!args) + goto bad; + owned_instance = PyObject_Call(type, args, NULL); + Py_DECREF(args); + if (!owned_instance) + goto bad; + value = owned_instance; + if (!PyExceptionInstance_Check(value)) { + PyErr_Format(PyExc_TypeError, + "calling %R should have returned an instance of " + "BaseException, not %R", + type, Py_TYPE(value)); + goto bad; + } + } + } else { + PyErr_SetString(PyExc_TypeError, + "raise: exception class must be a subclass of BaseException"); + goto bad; + } + if (cause) { + PyObject *fixed_cause; + if (cause == Py_None) { + fixed_cause = NULL; + } else if (PyExceptionClass_Check(cause)) { + fixed_cause = PyObject_CallObject(cause, NULL); + if (fixed_cause == NULL) + goto bad; + } else if (PyExceptionInstance_Check(cause)) { + fixed_cause = cause; + Py_INCREF(fixed_cause); + } else { + PyErr_SetString(PyExc_TypeError, + "exception causes must derive from " + "BaseException"); + goto bad; + } + PyException_SetCause(value, fixed_cause); + } + PyErr_SetObject(type, value); + if (tb) { +#if CYTHON_COMPILING_IN_PYPY + PyObject *tmp_type, *tmp_value, *tmp_tb; + PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb); + Py_INCREF(tb); + PyErr_Restore(tmp_type, tmp_value, tb); + Py_XDECREF(tmp_tb); +#else + PyThreadState *tstate = __Pyx_PyThreadState_Current; + PyObject* tmp_tb = tstate->curexc_traceback; + if (tb != tmp_tb) { + Py_INCREF(tb); + tstate->curexc_traceback = tb; + Py_XDECREF(tmp_tb); + } +#endif + } +bad: + Py_XDECREF(owned_instance); + return; +} +#endif + +/* PyCFunctionFastCall */ + #if CYTHON_FAST_PYCCALL +static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) { + PyCFunctionObject *func = (PyCFunctionObject*)func_obj; + PyCFunction meth = PyCFunction_GET_FUNCTION(func); + PyObject *self = PyCFunction_GET_SELF(func); + int flags = PyCFunction_GET_FLAGS(func); + assert(PyCFunction_Check(func)); + assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS))); + assert(nargs >= 0); + assert(nargs == 0 || args != NULL); + /* _PyCFunction_FastCallDict() must not be called with an exception set, + because it may clear it (directly or indirectly) and so the + caller loses its exception */ + assert(!PyErr_Occurred()); + if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) { + return (*((__Pyx_PyCFunctionFastWithKeywords)(void*)meth)) (self, args, nargs, NULL); + } else { + return (*((__Pyx_PyCFunctionFast)(void*)meth)) (self, args, nargs); + } +} +#endif + +/* PyFunctionFastCall */ + #if CYTHON_FAST_PYCALL +static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na, + PyObject *globals) { + PyFrameObject *f; + PyThreadState *tstate = __Pyx_PyThreadState_Current; + PyObject **fastlocals; + Py_ssize_t i; + PyObject *result; + assert(globals != NULL); + /* XXX Perhaps we should create a specialized + PyFrame_New() that doesn't take locals, but does + take builtins without sanity checking them. + */ + assert(tstate != NULL); + f = PyFrame_New(tstate, co, globals, NULL); + if (f == NULL) { + return NULL; + } + fastlocals = __Pyx_PyFrame_GetLocalsplus(f); + for (i = 0; i < na; i++) { + Py_INCREF(*args); + fastlocals[i] = *args++; + } + result = PyEval_EvalFrameEx(f,0); + ++tstate->recursion_depth; + Py_DECREF(f); + --tstate->recursion_depth; + return result; +} +#if 1 || PY_VERSION_HEX < 0x030600B1 +static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, int nargs, PyObject *kwargs) { + PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func); + PyObject *globals = PyFunction_GET_GLOBALS(func); + PyObject *argdefs = PyFunction_GET_DEFAULTS(func); + PyObject *closure; +#if PY_MAJOR_VERSION >= 3 + PyObject *kwdefs; +#endif + PyObject *kwtuple, **k; + PyObject **d; + Py_ssize_t nd; + Py_ssize_t nk; + PyObject *result; + assert(kwargs == NULL || PyDict_Check(kwargs)); + nk = kwargs ? PyDict_Size(kwargs) : 0; + if (Py_EnterRecursiveCall((char*)" while calling a Python object")) { + return NULL; + } + if ( +#if PY_MAJOR_VERSION >= 3 + co->co_kwonlyargcount == 0 && +#endif + likely(kwargs == NULL || nk == 0) && + co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) { + if (argdefs == NULL && co->co_argcount == nargs) { + result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals); + goto done; + } + else if (nargs == 0 && argdefs != NULL + && co->co_argcount == Py_SIZE(argdefs)) { + /* function called with no arguments, but all parameters have + a default value: use default values as arguments .*/ + args = &PyTuple_GET_ITEM(argdefs, 0); + result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals); + goto done; + } + } + if (kwargs != NULL) { + Py_ssize_t pos, i; + kwtuple = PyTuple_New(2 * nk); + if (kwtuple == NULL) { + result = NULL; + goto done; + } + k = &PyTuple_GET_ITEM(kwtuple, 0); + pos = i = 0; + while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) { + Py_INCREF(k[i]); + Py_INCREF(k[i+1]); + i += 2; + } + nk = i / 2; + } + else { + kwtuple = NULL; + k = NULL; + } + closure = PyFunction_GET_CLOSURE(func); +#if PY_MAJOR_VERSION >= 3 + kwdefs = PyFunction_GET_KW_DEFAULTS(func); +#endif + if (argdefs != NULL) { + d = &PyTuple_GET_ITEM(argdefs, 0); + nd = Py_SIZE(argdefs); + } + else { + d = NULL; + nd = 0; + } +#if PY_MAJOR_VERSION >= 3 + result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL, + args, nargs, + k, (int)nk, + d, (int)nd, kwdefs, closure); +#else + result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL, + args, nargs, + k, (int)nk, + d, (int)nd, closure); +#endif + Py_XDECREF(kwtuple); +done: + Py_LeaveRecursiveCall(); + return result; +} +#endif +#endif + +/* PyObjectCallMethO */ + #if CYTHON_COMPILING_IN_CPYTHON +static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) { + PyObject *self, *result; + PyCFunction cfunc; + cfunc = PyCFunction_GET_FUNCTION(func); + self = PyCFunction_GET_SELF(func); + if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object"))) + return NULL; + result = cfunc(self, arg); + Py_LeaveRecursiveCall(); + if (unlikely(!result) && unlikely(!PyErr_Occurred())) { + PyErr_SetString( + PyExc_SystemError, + "NULL result without error in PyObject_Call"); + } + return result; +} +#endif + +/* PyObjectCallOneArg */ + #if CYTHON_COMPILING_IN_CPYTHON +static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) { + PyObject *result; + PyObject *args = PyTuple_New(1); + if (unlikely(!args)) return NULL; + Py_INCREF(arg); + PyTuple_SET_ITEM(args, 0, arg); + result = __Pyx_PyObject_Call(func, args, NULL); + Py_DECREF(args); + return result; +} +static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) { +#if CYTHON_FAST_PYCALL + if (PyFunction_Check(func)) { + return __Pyx_PyFunction_FastCall(func, &arg, 1); + } +#endif + if (likely(PyCFunction_Check(func))) { + if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) { + return __Pyx_PyObject_CallMethO(func, arg); +#if CYTHON_FAST_PYCCALL + } else if (PyCFunction_GET_FLAGS(func) & METH_FASTCALL) { + return __Pyx_PyCFunction_FastCall(func, &arg, 1); +#endif + } + } + return __Pyx__PyObject_CallOneArg(func, arg); +} +#else +static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) { + PyObject *result; + PyObject *args = PyTuple_Pack(1, arg); + if (unlikely(!args)) return NULL; + result = __Pyx_PyObject_Call(func, args, NULL); + Py_DECREF(args); + return result; +} +#endif + +/* DictGetItem */ + #if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY +static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) { + PyObject *value; + value = PyDict_GetItemWithError(d, key); + if (unlikely(!value)) { + if (!PyErr_Occurred()) { + if (unlikely(PyTuple_Check(key))) { + PyObject* args = PyTuple_Pack(1, key); + if (likely(args)) { + PyErr_SetObject(PyExc_KeyError, args); + Py_DECREF(args); + } + } else { + PyErr_SetObject(PyExc_KeyError, key); + } + } + return NULL; + } + Py_INCREF(value); + return value; +} +#endif + +/* RaiseTooManyValuesToUnpack */ + static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) { + PyErr_Format(PyExc_ValueError, + "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected); +} + +/* RaiseNeedMoreValuesToUnpack */ + static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) { + PyErr_Format(PyExc_ValueError, + "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack", + index, (index == 1) ? "" : "s"); +} + +/* RaiseNoneIterError */ + static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) { + PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable"); +} + +/* ExtTypeTest */ + static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) { + if (unlikely(!type)) { + PyErr_SetString(PyExc_SystemError, "Missing type object"); + return 0; + } + if (likely(__Pyx_TypeCheck(obj, type))) + return 1; + PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s", + Py_TYPE(obj)->tp_name, type->tp_name); + return 0; +} + +/* GetTopmostException */ + #if CYTHON_USE_EXC_INFO_STACK +static _PyErr_StackItem * +__Pyx_PyErr_GetTopmostException(PyThreadState *tstate) +{ + _PyErr_StackItem *exc_info = tstate->exc_info; + while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) && + exc_info->previous_item != NULL) + { + exc_info = exc_info->previous_item; + } + return exc_info; +} +#endif + +/* SaveResetException */ + #if CYTHON_FAST_THREAD_STATE +static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) { + #if CYTHON_USE_EXC_INFO_STACK + _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate); + *type = exc_info->exc_type; + *value = exc_info->exc_value; + *tb = exc_info->exc_traceback; + #else + *type = tstate->exc_type; + *value = tstate->exc_value; + *tb = tstate->exc_traceback; + #endif + Py_XINCREF(*type); + Py_XINCREF(*value); + Py_XINCREF(*tb); +} +static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) { + PyObject *tmp_type, *tmp_value, *tmp_tb; + #if CYTHON_USE_EXC_INFO_STACK + _PyErr_StackItem *exc_info = tstate->exc_info; + tmp_type = exc_info->exc_type; + tmp_value = exc_info->exc_value; + tmp_tb = exc_info->exc_traceback; + exc_info->exc_type = type; + exc_info->exc_value = value; + exc_info->exc_traceback = tb; + #else + tmp_type = tstate->exc_type; + tmp_value = tstate->exc_value; + tmp_tb = tstate->exc_traceback; + tstate->exc_type = type; + tstate->exc_value = value; + tstate->exc_traceback = tb; + #endif + Py_XDECREF(tmp_type); + Py_XDECREF(tmp_value); + Py_XDECREF(tmp_tb); +} +#endif + +/* PyErrExceptionMatches */ + #if CYTHON_FAST_THREAD_STATE +static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) { + Py_ssize_t i, n; + n = PyTuple_GET_SIZE(tuple); +#if PY_MAJOR_VERSION >= 3 + for (i=0; icurexc_type; + if (exc_type == err) return 1; + if (unlikely(!exc_type)) return 0; + if (unlikely(PyTuple_Check(err))) + return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err); + return __Pyx_PyErr_GivenExceptionMatches(exc_type, err); +} +#endif + +/* GetException */ + #if CYTHON_FAST_THREAD_STATE +static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) +#else +static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb) +#endif +{ + PyObject *local_type, *local_value, *local_tb; +#if CYTHON_FAST_THREAD_STATE + PyObject *tmp_type, *tmp_value, *tmp_tb; + local_type = tstate->curexc_type; + local_value = tstate->curexc_value; + local_tb = tstate->curexc_traceback; + tstate->curexc_type = 0; + tstate->curexc_value = 0; + tstate->curexc_traceback = 0; +#else + PyErr_Fetch(&local_type, &local_value, &local_tb); +#endif + PyErr_NormalizeException(&local_type, &local_value, &local_tb); +#if CYTHON_FAST_THREAD_STATE + if (unlikely(tstate->curexc_type)) +#else + if (unlikely(PyErr_Occurred())) +#endif + goto bad; + #if PY_MAJOR_VERSION >= 3 + if (local_tb) { + if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0)) + goto bad; + } + #endif + Py_XINCREF(local_tb); + Py_XINCREF(local_type); + Py_XINCREF(local_value); + *type = local_type; + *value = local_value; + *tb = local_tb; +#if CYTHON_FAST_THREAD_STATE + #if CYTHON_USE_EXC_INFO_STACK + { + _PyErr_StackItem *exc_info = tstate->exc_info; + tmp_type = exc_info->exc_type; + tmp_value = exc_info->exc_value; + tmp_tb = exc_info->exc_traceback; + exc_info->exc_type = local_type; + exc_info->exc_value = local_value; + exc_info->exc_traceback = local_tb; + } + #else + tmp_type = tstate->exc_type; + tmp_value = tstate->exc_value; + tmp_tb = tstate->exc_traceback; + tstate->exc_type = local_type; + tstate->exc_value = local_value; + tstate->exc_traceback = local_tb; + #endif + Py_XDECREF(tmp_type); + Py_XDECREF(tmp_value); + Py_XDECREF(tmp_tb); +#else + PyErr_SetExcInfo(local_type, local_value, local_tb); +#endif + return 0; +bad: + *type = 0; + *value = 0; + *tb = 0; + Py_XDECREF(local_type); + Py_XDECREF(local_value); + Py_XDECREF(local_tb); + return -1; +} + +/* PyObject_GenericGetAttrNoDict */ + #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000 +static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) { + PyErr_Format(PyExc_AttributeError, +#if PY_MAJOR_VERSION >= 3 + "'%.50s' object has no attribute '%U'", + tp->tp_name, attr_name); +#else + "'%.50s' object has no attribute '%.400s'", + tp->tp_name, PyString_AS_STRING(attr_name)); +#endif + return NULL; +} +static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) { + PyObject *descr; + PyTypeObject *tp = Py_TYPE(obj); + if (unlikely(!PyString_Check(attr_name))) { + return PyObject_GenericGetAttr(obj, attr_name); + } + assert(!tp->tp_dictoffset); + descr = _PyType_Lookup(tp, attr_name); + if (unlikely(!descr)) { + return __Pyx_RaiseGenericGetAttributeError(tp, attr_name); + } + Py_INCREF(descr); + #if PY_MAJOR_VERSION < 3 + if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS))) + #endif + { + descrgetfunc f = Py_TYPE(descr)->tp_descr_get; + if (unlikely(f)) { + PyObject *res = f(descr, obj, (PyObject *)tp); + Py_DECREF(descr); + return res; + } + } + return descr; +} +#endif + +/* PyObject_GenericGetAttr */ + #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000 +static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) { + if (unlikely(Py_TYPE(obj)->tp_dictoffset)) { + return PyObject_GenericGetAttr(obj, attr_name); + } + return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name); +} +#endif + +/* SetupReduce */ + static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) { + int ret; + PyObject *name_attr; + name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name); + if (likely(name_attr)) { + ret = PyObject_RichCompareBool(name_attr, name, Py_EQ); + } else { + ret = -1; + } + if (unlikely(ret < 0)) { + PyErr_Clear(); + ret = 0; + } + Py_XDECREF(name_attr); + return ret; +} +static int __Pyx_setup_reduce(PyObject* type_obj) { + int ret = 0; + PyObject *object_reduce = NULL; + PyObject *object_reduce_ex = NULL; + PyObject *reduce = NULL; + PyObject *reduce_ex = NULL; + PyObject *reduce_cython = NULL; + PyObject *setstate = NULL; + PyObject *setstate_cython = NULL; +#if CYTHON_USE_PYTYPE_LOOKUP + if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate)) goto GOOD; +#else + if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate)) goto GOOD; +#endif +#if CYTHON_USE_PYTYPE_LOOKUP + object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto BAD; +#else + object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto BAD; +#endif + reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto BAD; + if (reduce_ex == object_reduce_ex) { +#if CYTHON_USE_PYTYPE_LOOKUP + object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto BAD; +#else + object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto BAD; +#endif + reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto BAD; + if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) { + reduce_cython = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_cython); if (unlikely(!reduce_cython)) goto BAD; + ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto BAD; + ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto BAD; + setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate); + if (!setstate) PyErr_Clear(); + if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) { + setstate_cython = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate_cython); if (unlikely(!setstate_cython)) goto BAD; + ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto BAD; + ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto BAD; + } + PyType_Modified((PyTypeObject*)type_obj); + } + } + goto GOOD; +BAD: + if (!PyErr_Occurred()) + PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name); + ret = -1; +GOOD: +#if !CYTHON_USE_PYTYPE_LOOKUP + Py_XDECREF(object_reduce); + Py_XDECREF(object_reduce_ex); +#endif + Py_XDECREF(reduce); + Py_XDECREF(reduce_ex); + Py_XDECREF(reduce_cython); + Py_XDECREF(setstate); + Py_XDECREF(setstate_cython); + return ret; +} + +/* TypeImport */ + #ifndef __PYX_HAVE_RT_ImportType +#define __PYX_HAVE_RT_ImportType +static PyTypeObject *__Pyx_ImportType(PyObject *module, const char *module_name, const char *class_name, + size_t size, enum __Pyx_ImportType_CheckSize check_size) +{ + PyObject *result = 0; + char warning[200]; + Py_ssize_t basicsize; +#ifdef Py_LIMITED_API + PyObject *py_basicsize; +#endif + result = PyObject_GetAttrString(module, class_name); + if (!result) + goto bad; + if (!PyType_Check(result)) { + PyErr_Format(PyExc_TypeError, + "%.200s.%.200s is not a type object", + module_name, class_name); + goto bad; + } +#ifndef Py_LIMITED_API + basicsize = ((PyTypeObject *)result)->tp_basicsize; +#else + py_basicsize = PyObject_GetAttrString(result, "__basicsize__"); + if (!py_basicsize) + goto bad; + basicsize = PyLong_AsSsize_t(py_basicsize); + Py_DECREF(py_basicsize); + py_basicsize = 0; + if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred()) + goto bad; +#endif + if ((size_t)basicsize < size) { + PyErr_Format(PyExc_ValueError, + "%.200s.%.200s size changed, may indicate binary incompatibility. " + "Expected %zd from C header, got %zd from PyObject", + module_name, class_name, size, basicsize); + goto bad; + } + if (check_size == __Pyx_ImportType_CheckSize_Error && (size_t)basicsize != size) { + PyErr_Format(PyExc_ValueError, + "%.200s.%.200s size changed, may indicate binary incompatibility. " + "Expected %zd from C header, got %zd from PyObject", + module_name, class_name, size, basicsize); + goto bad; + } + else if (check_size == __Pyx_ImportType_CheckSize_Warn && (size_t)basicsize > size) { + PyOS_snprintf(warning, sizeof(warning), + "%s.%s size changed, may indicate binary incompatibility. " + "Expected %zd from C header, got %zd from PyObject", + module_name, class_name, size, basicsize); + if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad; + } + return (PyTypeObject *)result; +bad: + Py_XDECREF(result); + return NULL; +} +#endif + +/* Import */ + static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) { + PyObject *empty_list = 0; + PyObject *module = 0; + PyObject *global_dict = 0; + PyObject *empty_dict = 0; + PyObject *list; + #if PY_MAJOR_VERSION < 3 + PyObject *py_import; + py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import); + if (!py_import) + goto bad; + #endif + if (from_list) + list = from_list; + else { + empty_list = PyList_New(0); + if (!empty_list) + goto bad; + list = empty_list; + } + global_dict = PyModule_GetDict(__pyx_m); + if (!global_dict) + goto bad; + empty_dict = PyDict_New(); + if (!empty_dict) + goto bad; + { + #if PY_MAJOR_VERSION >= 3 + if (level == -1) { + if (strchr(__Pyx_MODULE_NAME, '.')) { + module = PyImport_ImportModuleLevelObject( + name, global_dict, empty_dict, list, 1); + if (!module) { + if (!PyErr_ExceptionMatches(PyExc_ImportError)) + goto bad; + PyErr_Clear(); + } + } + level = 0; + } + #endif + if (!module) { + #if PY_MAJOR_VERSION < 3 + PyObject *py_level = PyInt_FromLong(level); + if (!py_level) + goto bad; + module = PyObject_CallFunctionObjArgs(py_import, + name, global_dict, empty_dict, list, py_level, (PyObject *)NULL); + Py_DECREF(py_level); + #else + module = PyImport_ImportModuleLevelObject( + name, global_dict, empty_dict, list, level); + #endif + } + } +bad: + #if PY_MAJOR_VERSION < 3 + Py_XDECREF(py_import); + #endif + Py_XDECREF(empty_list); + Py_XDECREF(empty_dict); + return module; +} + +/* PyDictVersioning */ + #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS +static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) { + PyObject *dict = Py_TYPE(obj)->tp_dict; + return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0; +} +static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) { + PyObject **dictptr = NULL; + Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset; + if (offset) { +#if CYTHON_COMPILING_IN_CPYTHON + dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj); +#else + dictptr = _PyObject_GetDictPtr(obj); +#endif + } + return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0; +} +static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) { + PyObject *dict = Py_TYPE(obj)->tp_dict; + if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict))) + return 0; + return obj_dict_version == __Pyx_get_object_dict_version(obj); +} +#endif + +/* CLineInTraceback */ + #ifndef CYTHON_CLINE_IN_TRACEBACK +static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) { + PyObject *use_cline; + PyObject *ptype, *pvalue, *ptraceback; +#if CYTHON_COMPILING_IN_CPYTHON + PyObject **cython_runtime_dict; +#endif + if (unlikely(!__pyx_cython_runtime)) { + return c_line; + } + __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback); +#if CYTHON_COMPILING_IN_CPYTHON + cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime); + if (likely(cython_runtime_dict)) { + __PYX_PY_DICT_LOOKUP_IF_MODIFIED( + use_cline, *cython_runtime_dict, + __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback)) + } else +#endif + { + PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback); + if (use_cline_obj) { + use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True; + Py_DECREF(use_cline_obj); + } else { + PyErr_Clear(); + use_cline = NULL; + } + } + if (!use_cline) { + c_line = 0; + PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False); + } + else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) { + c_line = 0; + } + __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback); + return c_line; +} +#endif + +/* CodeObjectCache */ + static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) { + int start = 0, mid = 0, end = count - 1; + if (end >= 0 && code_line > entries[end].code_line) { + return count; + } + while (start < end) { + mid = start + (end - start) / 2; + if (code_line < entries[mid].code_line) { + end = mid; + } else if (code_line > entries[mid].code_line) { + start = mid + 1; + } else { + return mid; + } + } + if (code_line <= entries[mid].code_line) { + return mid; + } else { + return mid + 1; + } +} +static PyCodeObject *__pyx_find_code_object(int code_line) { + PyCodeObject* code_object; + int pos; + if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) { + return NULL; + } + pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line); + if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) { + return NULL; + } + code_object = __pyx_code_cache.entries[pos].code_object; + Py_INCREF(code_object); + return code_object; +} +static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) { + int pos, i; + __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries; + if (unlikely(!code_line)) { + return; + } + if (unlikely(!entries)) { + entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry)); + if (likely(entries)) { + __pyx_code_cache.entries = entries; + __pyx_code_cache.max_count = 64; + __pyx_code_cache.count = 1; + entries[0].code_line = code_line; + entries[0].code_object = code_object; + Py_INCREF(code_object); + } + return; + } + pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line); + if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) { + PyCodeObject* tmp = entries[pos].code_object; + entries[pos].code_object = code_object; + Py_DECREF(tmp); + return; + } + if (__pyx_code_cache.count == __pyx_code_cache.max_count) { + int new_max = __pyx_code_cache.max_count + 64; + entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc( + __pyx_code_cache.entries, (size_t)new_max*sizeof(__Pyx_CodeObjectCacheEntry)); + if (unlikely(!entries)) { + return; + } + __pyx_code_cache.entries = entries; + __pyx_code_cache.max_count = new_max; + } + for (i=__pyx_code_cache.count; i>pos; i--) { + entries[i] = entries[i-1]; + } + entries[pos].code_line = code_line; + entries[pos].code_object = code_object; + __pyx_code_cache.count++; + Py_INCREF(code_object); +} + +/* AddTraceback */ + #include "compile.h" +#include "frameobject.h" +#include "traceback.h" +static PyCodeObject* __Pyx_CreateCodeObjectForTraceback( + const char *funcname, int c_line, + int py_line, const char *filename) { + PyCodeObject *py_code = 0; + PyObject *py_srcfile = 0; + PyObject *py_funcname = 0; + #if PY_MAJOR_VERSION < 3 + py_srcfile = PyString_FromString(filename); + #else + py_srcfile = PyUnicode_FromString(filename); + #endif + if (!py_srcfile) goto bad; + if (c_line) { + #if PY_MAJOR_VERSION < 3 + py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line); + #else + py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line); + #endif + } + else { + #if PY_MAJOR_VERSION < 3 + py_funcname = PyString_FromString(funcname); + #else + py_funcname = PyUnicode_FromString(funcname); + #endif + } + if (!py_funcname) goto bad; + py_code = __Pyx_PyCode_New( + 0, + 0, + 0, + 0, + 0, + __pyx_empty_bytes, /*PyObject *code,*/ + __pyx_empty_tuple, /*PyObject *consts,*/ + __pyx_empty_tuple, /*PyObject *names,*/ + __pyx_empty_tuple, /*PyObject *varnames,*/ + __pyx_empty_tuple, /*PyObject *freevars,*/ + __pyx_empty_tuple, /*PyObject *cellvars,*/ + py_srcfile, /*PyObject *filename,*/ + py_funcname, /*PyObject *name,*/ + py_line, + __pyx_empty_bytes /*PyObject *lnotab*/ + ); + Py_DECREF(py_srcfile); + Py_DECREF(py_funcname); + return py_code; +bad: + Py_XDECREF(py_srcfile); + Py_XDECREF(py_funcname); + return NULL; +} +static void __Pyx_AddTraceback(const char *funcname, int c_line, + int py_line, const char *filename) { + PyCodeObject *py_code = 0; + PyFrameObject *py_frame = 0; + PyThreadState *tstate = __Pyx_PyThreadState_Current; + if (c_line) { + c_line = __Pyx_CLineForTraceback(tstate, c_line); + } + py_code = __pyx_find_code_object(c_line ? -c_line : py_line); + if (!py_code) { + py_code = __Pyx_CreateCodeObjectForTraceback( + funcname, c_line, py_line, filename); + if (!py_code) goto bad; + __pyx_insert_code_object(c_line ? -c_line : py_line, py_code); + } + py_frame = PyFrame_New( + tstate, /*PyThreadState *tstate,*/ + py_code, /*PyCodeObject *code,*/ + __pyx_d, /*PyObject *globals,*/ + 0 /*PyObject *locals*/ + ); + if (!py_frame) goto bad; + __Pyx_PyFrame_SetLineNumber(py_frame, py_line); + PyTraceBack_Here(py_frame); +bad: + Py_XDECREF(py_code); + Py_XDECREF(py_frame); +} + +#if PY_MAJOR_VERSION < 3 +static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) { + if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags); + if (__Pyx_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags); + PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name); + return -1; +} +static void __Pyx_ReleaseBuffer(Py_buffer *view) { + PyObject *obj = view->obj; + if (!obj) return; + if (PyObject_CheckBuffer(obj)) { + PyBuffer_Release(view); + return; + } + if ((0)) {} + else if (__Pyx_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); + view->obj = NULL; + Py_DECREF(obj); +} +#endif + + + /* CIntFromPyVerify */ + #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\ + __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0) +#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\ + __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1) +#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\ + {\ + func_type value = func_value;\ + if (sizeof(target_type) < sizeof(func_type)) {\ + if (unlikely(value != (func_type) (target_type) value)) {\ + func_type zero = 0;\ + if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\ + return (target_type) -1;\ + if (is_unsigned && unlikely(value < zero))\ + goto raise_neg_overflow;\ + else\ + goto raise_overflow;\ + }\ + }\ + return (target_type) value;\ + } + +/* Declarations */ + #if CYTHON_CCOMPLEX + #ifdef __cplusplus + static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { + return ::std::complex< float >(x, y); + } + #else + static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { + return x + y*(__pyx_t_float_complex)_Complex_I; + } + #endif +#else + static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { + __pyx_t_float_complex z; + z.real = x; + z.imag = y; + return z; + } +#endif + +/* Arithmetic */ + #if CYTHON_CCOMPLEX +#else + static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + return (a.real == b.real) && (a.imag == b.imag); + } + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + __pyx_t_float_complex z; + z.real = a.real + b.real; + z.imag = a.imag + b.imag; + return z; + } + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + __pyx_t_float_complex z; + z.real = a.real - b.real; + z.imag = a.imag - b.imag; + return z; + } + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + __pyx_t_float_complex z; + z.real = a.real * b.real - a.imag * b.imag; + z.imag = a.real * b.imag + a.imag * b.real; + return z; + } + #if 1 + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + if (b.imag == 0) { + return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real); + } else if (fabsf(b.real) >= fabsf(b.imag)) { + if (b.real == 0 && b.imag == 0) { + return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag); + } else { + float r = b.imag / b.real; + float s = (float)(1.0) / (b.real + b.imag * r); + return __pyx_t_float_complex_from_parts( + (a.real + a.imag * r) * s, (a.imag - a.real * r) * s); + } + } else { + float r = b.real / b.imag; + float s = (float)(1.0) / (b.imag + b.real * r); + return __pyx_t_float_complex_from_parts( + (a.real * r + a.imag) * s, (a.imag * r - a.real) * s); + } + } + #else + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + if (b.imag == 0) { + return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real); + } else { + float denom = b.real * b.real + b.imag * b.imag; + return __pyx_t_float_complex_from_parts( + (a.real * b.real + a.imag * b.imag) / denom, + (a.imag * b.real - a.real * b.imag) / denom); + } + } + #endif + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) { + __pyx_t_float_complex z; + z.real = -a.real; + z.imag = -a.imag; + return z; + } + static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) { + return (a.real == 0) && (a.imag == 0); + } + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) { + __pyx_t_float_complex z; + z.real = a.real; + z.imag = -a.imag; + return z; + } + #if 1 + static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) { + #if !defined(HAVE_HYPOT) || defined(_MSC_VER) + return sqrtf(z.real*z.real + z.imag*z.imag); + #else + return hypotf(z.real, z.imag); + #endif + } + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + __pyx_t_float_complex z; + float r, lnr, theta, z_r, z_theta; + if (b.imag == 0 && b.real == (int)b.real) { + if (b.real < 0) { + float denom = a.real * a.real + a.imag * a.imag; + a.real = a.real / denom; + a.imag = -a.imag / denom; + b.real = -b.real; + } + switch ((int)b.real) { + case 0: + z.real = 1; + z.imag = 0; + return z; + case 1: + return a; + case 2: + z = __Pyx_c_prod_float(a, a); + return __Pyx_c_prod_float(a, a); + case 3: + z = __Pyx_c_prod_float(a, a); + return __Pyx_c_prod_float(z, a); + case 4: + z = __Pyx_c_prod_float(a, a); + return __Pyx_c_prod_float(z, z); + } + } + if (a.imag == 0) { + if (a.real == 0) { + return a; + } else if (b.imag == 0) { + z.real = powf(a.real, b.real); + z.imag = 0; + return z; + } else if (a.real > 0) { + r = a.real; + theta = 0; + } else { + r = -a.real; + theta = atan2f(0.0, -1.0); + } + } else { + r = __Pyx_c_abs_float(a); + theta = atan2f(a.imag, a.real); + } + lnr = logf(r); + z_r = expf(lnr * b.real - theta * b.imag); + z_theta = theta * b.real + lnr * b.imag; + z.real = z_r * cosf(z_theta); + z.imag = z_r * sinf(z_theta); + return z; + } + #endif +#endif + +/* Declarations */ + #if CYTHON_CCOMPLEX + #ifdef __cplusplus + static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { + return ::std::complex< double >(x, y); + } + #else + static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { + return x + y*(__pyx_t_double_complex)_Complex_I; + } + #endif +#else + static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { + __pyx_t_double_complex z; + z.real = x; + z.imag = y; + return z; + } +#endif + +/* Arithmetic */ + #if CYTHON_CCOMPLEX +#else + static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + return (a.real == b.real) && (a.imag == b.imag); + } + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + __pyx_t_double_complex z; + z.real = a.real + b.real; + z.imag = a.imag + b.imag; + return z; + } + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + __pyx_t_double_complex z; + z.real = a.real - b.real; + z.imag = a.imag - b.imag; + return z; + } + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + __pyx_t_double_complex z; + z.real = a.real * b.real - a.imag * b.imag; + z.imag = a.real * b.imag + a.imag * b.real; + return z; + } + #if 1 + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + if (b.imag == 0) { + return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real); + } else if (fabs(b.real) >= fabs(b.imag)) { + if (b.real == 0 && b.imag == 0) { + return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag); + } else { + double r = b.imag / b.real; + double s = (double)(1.0) / (b.real + b.imag * r); + return __pyx_t_double_complex_from_parts( + (a.real + a.imag * r) * s, (a.imag - a.real * r) * s); + } + } else { + double r = b.real / b.imag; + double s = (double)(1.0) / (b.imag + b.real * r); + return __pyx_t_double_complex_from_parts( + (a.real * r + a.imag) * s, (a.imag * r - a.real) * s); + } + } + #else + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + if (b.imag == 0) { + return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real); + } else { + double denom = b.real * b.real + b.imag * b.imag; + return __pyx_t_double_complex_from_parts( + (a.real * b.real + a.imag * b.imag) / denom, + (a.imag * b.real - a.real * b.imag) / denom); + } + } + #endif + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) { + __pyx_t_double_complex z; + z.real = -a.real; + z.imag = -a.imag; + return z; + } + static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) { + return (a.real == 0) && (a.imag == 0); + } + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) { + __pyx_t_double_complex z; + z.real = a.real; + z.imag = -a.imag; + return z; + } + #if 1 + static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) { + #if !defined(HAVE_HYPOT) || defined(_MSC_VER) + return sqrt(z.real*z.real + z.imag*z.imag); + #else + return hypot(z.real, z.imag); + #endif + } + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + __pyx_t_double_complex z; + double r, lnr, theta, z_r, z_theta; + if (b.imag == 0 && b.real == (int)b.real) { + if (b.real < 0) { + double denom = a.real * a.real + a.imag * a.imag; + a.real = a.real / denom; + a.imag = -a.imag / denom; + b.real = -b.real; + } + switch ((int)b.real) { + case 0: + z.real = 1; + z.imag = 0; + return z; + case 1: + return a; + case 2: + z = __Pyx_c_prod_double(a, a); + return __Pyx_c_prod_double(a, a); + case 3: + z = __Pyx_c_prod_double(a, a); + return __Pyx_c_prod_double(z, a); + case 4: + z = __Pyx_c_prod_double(a, a); + return __Pyx_c_prod_double(z, z); + } + } + if (a.imag == 0) { + if (a.real == 0) { + return a; + } else if (b.imag == 0) { + z.real = pow(a.real, b.real); + z.imag = 0; + return z; + } else if (a.real > 0) { + r = a.real; + theta = 0; + } else { + r = -a.real; + theta = atan2(0.0, -1.0); + } + } else { + r = __Pyx_c_abs_double(a); + theta = atan2(a.imag, a.real); + } + lnr = log(r); + z_r = exp(lnr * b.real - theta * b.imag); + z_theta = theta * b.real + lnr * b.imag; + z.real = z_r * cos(z_theta); + z.imag = z_r * sin(z_theta); + return z; + } + #endif +#endif + +/* CIntToPy */ + static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) { + const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0; + const int is_unsigned = neg_one > const_zero; + if (is_unsigned) { + if (sizeof(int) < sizeof(long)) { + return PyInt_FromLong((long) value); + } else if (sizeof(int) <= sizeof(unsigned long)) { + return PyLong_FromUnsignedLong((unsigned long) value); +#ifdef HAVE_LONG_LONG + } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) { + return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value); +#endif + } + } else { + if (sizeof(int) <= sizeof(long)) { + return PyInt_FromLong((long) value); +#ifdef HAVE_LONG_LONG + } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) { + return PyLong_FromLongLong((PY_LONG_LONG) value); +#endif + } + } + { + int one = 1; int little = (int)*(unsigned char *)&one; + unsigned char *bytes = (unsigned char *)&value; + return _PyLong_FromByteArray(bytes, sizeof(int), + little, !is_unsigned); + } +} + +/* CIntToPy */ + static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value) { + const enum NPY_TYPES neg_one = (enum NPY_TYPES) ((enum NPY_TYPES) 0 - (enum NPY_TYPES) 1), const_zero = (enum NPY_TYPES) 0; + const int is_unsigned = neg_one > const_zero; + if (is_unsigned) { + if (sizeof(enum NPY_TYPES) < sizeof(long)) { + return PyInt_FromLong((long) value); + } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned long)) { + return PyLong_FromUnsignedLong((unsigned long) value); +#ifdef HAVE_LONG_LONG + } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned PY_LONG_LONG)) { + return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value); +#endif + } + } else { + if (sizeof(enum NPY_TYPES) <= sizeof(long)) { + return PyInt_FromLong((long) value); +#ifdef HAVE_LONG_LONG + } else if (sizeof(enum NPY_TYPES) <= sizeof(PY_LONG_LONG)) { + return PyLong_FromLongLong((PY_LONG_LONG) value); +#endif + } + } + { + int one = 1; int little = (int)*(unsigned char *)&one; + unsigned char *bytes = (unsigned char *)&value; + return _PyLong_FromByteArray(bytes, sizeof(enum NPY_TYPES), + little, !is_unsigned); + } +} + +/* CIntFromPy */ + static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) { + const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0; + const int is_unsigned = neg_one > const_zero; +#if PY_MAJOR_VERSION < 3 + if (likely(PyInt_Check(x))) { + if (sizeof(int) < sizeof(long)) { + __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x)) + } else { + long val = PyInt_AS_LONG(x); + if (is_unsigned && unlikely(val < 0)) { + goto raise_neg_overflow; + } + return (int) val; + } + } else +#endif + if (likely(PyLong_Check(x))) { + if (is_unsigned) { +#if CYTHON_USE_PYLONG_INTERNALS + const digit* digits = ((PyLongObject*)x)->ob_digit; + switch (Py_SIZE(x)) { + case 0: return (int) 0; + case 1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0]) + case 2: + if (8 * sizeof(int) > 1 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) { + return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])); + } + } + break; + case 3: + if (8 * sizeof(int) > 2 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) { + return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])); + } + } + break; + case 4: + if (8 * sizeof(int) > 3 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) { + return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])); + } + } + break; + } +#endif +#if CYTHON_COMPILING_IN_CPYTHON + if (unlikely(Py_SIZE(x) < 0)) { + goto raise_neg_overflow; + } +#else + { + int result = PyObject_RichCompareBool(x, Py_False, Py_LT); + if (unlikely(result < 0)) + return (int) -1; + if (unlikely(result == 1)) + goto raise_neg_overflow; + } +#endif + if (sizeof(int) <= sizeof(unsigned long)) { + __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x)) +#ifdef HAVE_LONG_LONG + } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) { + __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x)) +#endif + } + } else { +#if CYTHON_USE_PYLONG_INTERNALS + const digit* digits = ((PyLongObject*)x)->ob_digit; + switch (Py_SIZE(x)) { + case 0: return (int) 0; + case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0])) + case 1: __PYX_VERIFY_RETURN_INT(int, digit, +digits[0]) + case -2: + if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) { + return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]))); + } + } + break; + case 2: + if (8 * sizeof(int) > 1 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) { + return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]))); + } + } + break; + case -3: + if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) { + return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]))); + } + } + break; + case 3: + if (8 * sizeof(int) > 2 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) { + return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]))); + } + } + break; + case -4: + if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) { + return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]))); + } + } + break; + case 4: + if (8 * sizeof(int) > 3 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) { + return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]))); + } + } + break; + } +#endif + if (sizeof(int) <= sizeof(long)) { + __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x)) +#ifdef HAVE_LONG_LONG + } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) { + __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x)) +#endif + } + } + { +#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) + PyErr_SetString(PyExc_RuntimeError, + "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers"); +#else + int val; + PyObject *v = __Pyx_PyNumber_IntOrLong(x); + #if PY_MAJOR_VERSION < 3 + if (likely(v) && !PyLong_Check(v)) { + PyObject *tmp = v; + v = PyNumber_Long(tmp); + Py_DECREF(tmp); + } + #endif + if (likely(v)) { + int one = 1; int is_little = (int)*(unsigned char *)&one; + unsigned char *bytes = (unsigned char *)&val; + int ret = _PyLong_AsByteArray((PyLongObject *)v, + bytes, sizeof(val), + is_little, !is_unsigned); + Py_DECREF(v); + if (likely(!ret)) + return val; + } +#endif + return (int) -1; + } + } else { + int val; + PyObject *tmp = __Pyx_PyNumber_IntOrLong(x); + if (!tmp) return (int) -1; + val = __Pyx_PyInt_As_int(tmp); + Py_DECREF(tmp); + return val; + } +raise_overflow: + PyErr_SetString(PyExc_OverflowError, + "value too large to convert to int"); + return (int) -1; +raise_neg_overflow: + PyErr_SetString(PyExc_OverflowError, + "can't convert negative value to int"); + return (int) -1; +} + +/* CIntToPy */ + static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) { + const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0; + const int is_unsigned = neg_one > const_zero; + if (is_unsigned) { + if (sizeof(long) < sizeof(long)) { + return PyInt_FromLong((long) value); + } else if (sizeof(long) <= sizeof(unsigned long)) { + return PyLong_FromUnsignedLong((unsigned long) value); +#ifdef HAVE_LONG_LONG + } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) { + return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value); +#endif + } + } else { + if (sizeof(long) <= sizeof(long)) { + return PyInt_FromLong((long) value); +#ifdef HAVE_LONG_LONG + } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) { + return PyLong_FromLongLong((PY_LONG_LONG) value); +#endif + } + } + { + int one = 1; int little = (int)*(unsigned char *)&one; + unsigned char *bytes = (unsigned char *)&value; + return _PyLong_FromByteArray(bytes, sizeof(long), + little, !is_unsigned); + } +} + +/* CIntFromPy */ + static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) { + const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0; + const int is_unsigned = neg_one > const_zero; +#if PY_MAJOR_VERSION < 3 + if (likely(PyInt_Check(x))) { + if (sizeof(long) < sizeof(long)) { + __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x)) + } else { + long val = PyInt_AS_LONG(x); + if (is_unsigned && unlikely(val < 0)) { + goto raise_neg_overflow; + } + return (long) val; + } + } else +#endif + if (likely(PyLong_Check(x))) { + if (is_unsigned) { +#if CYTHON_USE_PYLONG_INTERNALS + const digit* digits = ((PyLongObject*)x)->ob_digit; + switch (Py_SIZE(x)) { + case 0: return (long) 0; + case 1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0]) + case 2: + if (8 * sizeof(long) > 1 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) { + return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])); + } + } + break; + case 3: + if (8 * sizeof(long) > 2 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) { + return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])); + } + } + break; + case 4: + if (8 * sizeof(long) > 3 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) { + return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])); + } + } + break; + } +#endif +#if CYTHON_COMPILING_IN_CPYTHON + if (unlikely(Py_SIZE(x) < 0)) { + goto raise_neg_overflow; + } +#else + { + int result = PyObject_RichCompareBool(x, Py_False, Py_LT); + if (unlikely(result < 0)) + return (long) -1; + if (unlikely(result == 1)) + goto raise_neg_overflow; + } +#endif + if (sizeof(long) <= sizeof(unsigned long)) { + __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x)) +#ifdef HAVE_LONG_LONG + } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) { + __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x)) +#endif + } + } else { +#if CYTHON_USE_PYLONG_INTERNALS + const digit* digits = ((PyLongObject*)x)->ob_digit; + switch (Py_SIZE(x)) { + case 0: return (long) 0; + case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0])) + case 1: __PYX_VERIFY_RETURN_INT(long, digit, +digits[0]) + case -2: + if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) { + return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]))); + } + } + break; + case 2: + if (8 * sizeof(long) > 1 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) { + return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]))); + } + } + break; + case -3: + if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) { + return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]))); + } + } + break; + case 3: + if (8 * sizeof(long) > 2 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) { + return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]))); + } + } + break; + case -4: + if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) { + return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]))); + } + } + break; + case 4: + if (8 * sizeof(long) > 3 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) { + return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]))); + } + } + break; + } +#endif + if (sizeof(long) <= sizeof(long)) { + __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x)) +#ifdef HAVE_LONG_LONG + } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) { + __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x)) +#endif + } + } + { +#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) + PyErr_SetString(PyExc_RuntimeError, + "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers"); +#else + long val; + PyObject *v = __Pyx_PyNumber_IntOrLong(x); + #if PY_MAJOR_VERSION < 3 + if (likely(v) && !PyLong_Check(v)) { + PyObject *tmp = v; + v = PyNumber_Long(tmp); + Py_DECREF(tmp); + } + #endif + if (likely(v)) { + int one = 1; int is_little = (int)*(unsigned char *)&one; + unsigned char *bytes = (unsigned char *)&val; + int ret = _PyLong_AsByteArray((PyLongObject *)v, + bytes, sizeof(val), + is_little, !is_unsigned); + Py_DECREF(v); + if (likely(!ret)) + return val; + } +#endif + return (long) -1; + } + } else { + long val; + PyObject *tmp = __Pyx_PyNumber_IntOrLong(x); + if (!tmp) return (long) -1; + val = __Pyx_PyInt_As_long(tmp); + Py_DECREF(tmp); + return val; + } +raise_overflow: + PyErr_SetString(PyExc_OverflowError, + "value too large to convert to long"); + return (long) -1; +raise_neg_overflow: + PyErr_SetString(PyExc_OverflowError, + "can't convert negative value to long"); + return (long) -1; +} + +/* FastTypeChecks */ + #if CYTHON_COMPILING_IN_CPYTHON +static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) { + while (a) { + a = a->tp_base; + if (a == b) + return 1; + } + return b == &PyBaseObject_Type; +} +static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) { + PyObject *mro; + if (a == b) return 1; + mro = a->tp_mro; + if (likely(mro)) { + Py_ssize_t i, n; + n = PyTuple_GET_SIZE(mro); + for (i = 0; i < n; i++) { + if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b) + return 1; + } + return 0; + } + return __Pyx_InBases(a, b); +} +#if PY_MAJOR_VERSION == 2 +static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) { + PyObject *exception, *value, *tb; + int res; + __Pyx_PyThreadState_declare + __Pyx_PyThreadState_assign + __Pyx_ErrFetch(&exception, &value, &tb); + res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0; + if (unlikely(res == -1)) { + PyErr_WriteUnraisable(err); + res = 0; + } + if (!res) { + res = PyObject_IsSubclass(err, exc_type2); + if (unlikely(res == -1)) { + PyErr_WriteUnraisable(err); + res = 0; + } + } + __Pyx_ErrRestore(exception, value, tb); + return res; +} +#else +static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) { + int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0; + if (!res) { + res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2); + } + return res; +} +#endif +static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) { + Py_ssize_t i, n; + assert(PyExceptionClass_Check(exc_type)); + n = PyTuple_GET_SIZE(tuple); +#if PY_MAJOR_VERSION >= 3 + for (i=0; ip) { + #if PY_MAJOR_VERSION < 3 + if (t->is_unicode) { + *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL); + } else if (t->intern) { + *t->p = PyString_InternFromString(t->s); + } else { + *t->p = PyString_FromStringAndSize(t->s, t->n - 1); + } + #else + if (t->is_unicode | t->is_str) { + if (t->intern) { + *t->p = PyUnicode_InternFromString(t->s); + } else if (t->encoding) { + *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL); + } else { + *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1); + } + } else { + *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1); + } + #endif + if (!*t->p) + return -1; + if (PyObject_Hash(*t->p) == -1) + return -1; + ++t; + } + return 0; +} + +static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) { + return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str)); +} +static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) { + Py_ssize_t ignore; + return __Pyx_PyObject_AsStringAndSize(o, &ignore); +} +#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT +#if !CYTHON_PEP393_ENABLED +static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) { + char* defenc_c; + PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL); + if (!defenc) return NULL; + defenc_c = PyBytes_AS_STRING(defenc); +#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII + { + char* end = defenc_c + PyBytes_GET_SIZE(defenc); + char* c; + for (c = defenc_c; c < end; c++) { + if ((unsigned char) (*c) >= 128) { + PyUnicode_AsASCIIString(o); + return NULL; + } + } + } +#endif + *length = PyBytes_GET_SIZE(defenc); + return defenc_c; +} +#else +static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) { + if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL; +#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII + if (likely(PyUnicode_IS_ASCII(o))) { + *length = PyUnicode_GET_LENGTH(o); + return PyUnicode_AsUTF8(o); + } else { + PyUnicode_AsASCIIString(o); + return NULL; + } +#else + return PyUnicode_AsUTF8AndSize(o, length); +#endif +} +#endif +#endif +static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) { +#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT + if ( +#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII + __Pyx_sys_getdefaultencoding_not_ascii && +#endif + PyUnicode_Check(o)) { + return __Pyx_PyUnicode_AsStringAndSize(o, length); + } else +#endif +#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE)) + if (PyByteArray_Check(o)) { + *length = PyByteArray_GET_SIZE(o); + return PyByteArray_AS_STRING(o); + } else +#endif + { + char* result; + int r = PyBytes_AsStringAndSize(o, &result, length); + if (unlikely(r < 0)) { + return NULL; + } else { + return result; + } + } +} +static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) { + int is_true = x == Py_True; + if (is_true | (x == Py_False) | (x == Py_None)) return is_true; + else return PyObject_IsTrue(x); +} +static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) { + int retval; + if (unlikely(!x)) return -1; + retval = __Pyx_PyObject_IsTrue(x); + Py_DECREF(x); + return retval; +} +static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) { +#if PY_MAJOR_VERSION >= 3 + if (PyLong_Check(result)) { + if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1, + "__int__ returned non-int (type %.200s). " + "The ability to return an instance of a strict subclass of int " + "is deprecated, and may be removed in a future version of Python.", + Py_TYPE(result)->tp_name)) { + Py_DECREF(result); + return NULL; + } + return result; + } +#endif + PyErr_Format(PyExc_TypeError, + "__%.4s__ returned non-%.4s (type %.200s)", + type_name, type_name, Py_TYPE(result)->tp_name); + Py_DECREF(result); + return NULL; +} +static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) { +#if CYTHON_USE_TYPE_SLOTS + PyNumberMethods *m; +#endif + const char *name = NULL; + PyObject *res = NULL; +#if PY_MAJOR_VERSION < 3 + if (likely(PyInt_Check(x) || PyLong_Check(x))) +#else + if (likely(PyLong_Check(x))) +#endif + return __Pyx_NewRef(x); +#if CYTHON_USE_TYPE_SLOTS + m = Py_TYPE(x)->tp_as_number; + #if PY_MAJOR_VERSION < 3 + if (m && m->nb_int) { + name = "int"; + res = m->nb_int(x); + } + else if (m && m->nb_long) { + name = "long"; + res = m->nb_long(x); + } + #else + if (likely(m && m->nb_int)) { + name = "int"; + res = m->nb_int(x); + } + #endif +#else + if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) { + res = PyNumber_Int(x); + } +#endif + if (likely(res)) { +#if PY_MAJOR_VERSION < 3 + if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) { +#else + if (unlikely(!PyLong_CheckExact(res))) { +#endif + return __Pyx_PyNumber_IntOrLongWrongResultType(res, name); + } + } + else if (!PyErr_Occurred()) { + PyErr_SetString(PyExc_TypeError, + "an integer is required"); + } + return res; +} +static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) { + Py_ssize_t ival; + PyObject *x; +#if PY_MAJOR_VERSION < 3 + if (likely(PyInt_CheckExact(b))) { + if (sizeof(Py_ssize_t) >= sizeof(long)) + return PyInt_AS_LONG(b); + else + return PyInt_AsSsize_t(b); + } +#endif + if (likely(PyLong_CheckExact(b))) { + #if CYTHON_USE_PYLONG_INTERNALS + const digit* digits = ((PyLongObject*)b)->ob_digit; + const Py_ssize_t size = Py_SIZE(b); + if (likely(__Pyx_sst_abs(size) <= 1)) { + ival = likely(size) ? digits[0] : 0; + if (size == -1) ival = -ival; + return ival; + } else { + switch (size) { + case 2: + if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) { + return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])); + } + break; + case -2: + if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) { + return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])); + } + break; + case 3: + if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) { + return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])); + } + break; + case -3: + if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) { + return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])); + } + break; + case 4: + if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) { + return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])); + } + break; + case -4: + if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) { + return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])); + } + break; + } + } + #endif + return PyLong_AsSsize_t(b); + } + x = PyNumber_Index(b); + if (!x) return -1; + ival = PyInt_AsSsize_t(x); + Py_DECREF(x); + return ival; +} +static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) { + return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False); +} +static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) { + return PyInt_FromSize_t(ival); +} + + +#endif /* Py_PYTHON_H */ diff --git a/mesh/FaceFrontalization_algo/FaceFrontalization_core_cython.cpython-36m-darwin.so b/mesh/FaceFrontalization_algo/FaceFrontalization_core_cython.cpython-36m-darwin.so new file mode 100755 index 0000000..8dc52f0 Binary files /dev/null and b/mesh/FaceFrontalization_algo/FaceFrontalization_core_cython.cpython-36m-darwin.so differ diff --git a/mesh/FaceFrontalization_algo/FaceFrontalization_core_cython.pyx b/mesh/FaceFrontalization_algo/FaceFrontalization_core_cython.pyx new file mode 100644 index 0000000..c09d0b5 --- /dev/null +++ b/mesh/FaceFrontalization_algo/FaceFrontalization_core_cython.pyx @@ -0,0 +1,92 @@ +#from FaceFrontalization cimport FaceFrontalization +import numpy as np +cimport numpy as np +from libcpp.string cimport string + +# use the Numpy-C-API from Cython +np.import_array() + +#definition + +cdef extern from "FaceFrontalization.h": + cdef cppclass FaceFrontalization: + FaceFrontalization() except + + FaceFrontalization(double* mask, double* tri_ind, int, int, int, + double* all_vertex_src, double* all_vertex_ref, int, int, + double* all_tri, int, int, int, + double* valid_tri_half, int, int, + double* sym_tri_list, int) except + + + FaceFrontalization(double* mask, double* tri_ind, int, int, int, + double* all_vertex_src, double* all_vertex_ref, int, int, + double* all_tri, int, int, int, int, + double* valid_tri_half, int, int, + double* sym_list, int) except + + + FaceFrontalization(double* img, int, int, int, double* corres_map) except + + + void frontalization_mapping(double * corres_map, double * corre_map_sym) + void frontalization_mapping_big_tri(double * corres_map, double * corre_map_sym) + void frontalization_filling(double * result) + +# PyFaceFrontalizationFilling implementation +cdef class PyFaceFrontalizationFilling: + cdef FaceFrontalization FF + + def __cinit__(self, np.ndarray[double, ndim=3, mode = "c"] img not None, + int width, int height, int nChannels, + np.ndarray[double, ndim=3, mode = "c"] corres_map not None): + self.FF = FaceFrontalization( np.PyArray_DATA(img), width, height, nChannels, np.PyArray_DATA(corres_map)) + + def frontalization_filling(self, np.ndarray[double, ndim=3, mode = "c"] result not None): + self.FF.frontalization_filling( np.PyArray_DATA(result)) + +# PyFaceFrontalizationMappingBigTri implementation +cdef class PyFaceFrontalizationMappingBigTri: + cdef FaceFrontalization FF + + def __cinit__(self, np.ndarray[double, ndim=2, mode = "c"] mask not None, + np.ndarray[double, ndim=2, mode = "c"] tri_ind not None, + int width, int height, int nChannels, + np.ndarray[double, ndim=2, mode = "c"] all_vertex_src not None, + np.ndarray[double, ndim=2, mode = "c"] all_vertex_ref not None, + int all_ver_dim, int all_ver_length, + np.ndarray[double, ndim=2, mode = "c"] all_tri not None, + int all_tri_dim, int all_tri_length, int bg_tri_num, int bg_vertex_num, + np.ndarray[double, ndim=2, mode = "c"] valid_tri_half not None, + int vertex_length, int tri_length, + np.ndarray[double, ndim=2, mode = "c"] sym_tri_list not None, int symlist_length): + self.FF = FaceFrontalization( np.PyArray_DATA(mask), np.PyArray_DATA(tri_ind), width, height, nChannels, + np.PyArray_DATA(all_vertex_src), np.PyArray_DATA(all_vertex_ref), all_ver_dim, all_ver_length, + np.PyArray_DATA(all_tri), all_tri_dim, all_tri_length, bg_tri_num, bg_vertex_num, + np.PyArray_DATA(valid_tri_half), vertex_length, tri_length, + np.PyArray_DATA(sym_tri_list), symlist_length) + + def frontalization_mapping_big_tri(self, np.ndarray[double, ndim=2, mode = "c"] corres_map not None, + np.ndarray[double, ndim=2, mode = "c"] corres_map_sym not None): + self.FF.frontalization_mapping_big_tri( np.PyArray_DATA(corres_map), np.PyArray_DATA(corres_map_sym)) + +# PyFaceFrontalizationMapping implementation +cdef class PyFaceFrontalizationMapping: + cdef FaceFrontalization FF + + def __cinit__(self, np.ndarray[double, ndim=2, mode = "c"] mask not None, + np.ndarray[double, ndim=2, mode = "c"] tri_ind not None, + int width, int height, int nChannels, + np.ndarray[double, ndim=2, mode = "c"] all_vertex_src not None, + np.ndarray[double, ndim=2, mode = "c"] all_vertex_ref not None, + int all_ver_dim, int all_ver_length, + np.ndarray[double, ndim=2, mode = "c"] all_tri not None, + int all_tri_dim, int all_tri_length, int bg_tri_num, + np.ndarray[double, ndim=2, mode = "c"] valid_tri_half not None, + int vertex_length, int tri_length, + np.ndarray[double, ndim=2, mode = "c"] sym_list not None, int symlist_length): + self.FF = FaceFrontalization( np.PyArray_DATA(mask), np.PyArray_DATA(tri_ind), width, height, nChannels, + np.PyArray_DATA(all_vertex_src), np.PyArray_DATA(all_vertex_ref), all_ver_dim, all_ver_length, + np.PyArray_DATA(all_tri), all_tri_dim, all_tri_length, bg_tri_num, + np.PyArray_DATA(valid_tri_half), vertex_length, tri_length, + np.PyArray_DATA(sym_list), tri_length) + + def frontalization_mapping(self, np.ndarray[double, ndim=3, mode = "c"] corres_map not None, + np.ndarray[double, ndim=3, mode = "c"] corres_map_sym not None): + self.FF.frontalization_mapping( np.PyArray_DATA(corres_map), np.PyArray_DATA(corres_map_sym)) \ No newline at end of file diff --git a/mesh/FaceFrontalization_algo/__init__.py b/mesh/FaceFrontalization_algo/__init__.py new file mode 100644 index 0000000..e69de29 diff --git a/mesh/FaceFrontalization_algo/__pycache__/__init__.cpython-36.pyc b/mesh/FaceFrontalization_algo/__pycache__/__init__.cpython-36.pyc new file mode 100644 index 0000000..3c6b38c Binary files /dev/null and b/mesh/FaceFrontalization_algo/__pycache__/__init__.cpython-36.pyc differ diff --git a/mesh/FaceFrontalization_algo/build/temp.macosx-10.7-x86_64-3.6/FF_FaceFrontalization.o b/mesh/FaceFrontalization_algo/build/temp.macosx-10.7-x86_64-3.6/FF_FaceFrontalization.o new file mode 100644 index 0000000..5d84288 Binary files /dev/null and b/mesh/FaceFrontalization_algo/build/temp.macosx-10.7-x86_64-3.6/FF_FaceFrontalization.o differ diff --git a/mesh/FaceFrontalization_algo/build/temp.macosx-10.7-x86_64-3.6/FF_MeshSrc2Ref.o b/mesh/FaceFrontalization_algo/build/temp.macosx-10.7-x86_64-3.6/FF_MeshSrc2Ref.o new file mode 100644 index 0000000..25f3d8f Binary files /dev/null and b/mesh/FaceFrontalization_algo/build/temp.macosx-10.7-x86_64-3.6/FF_MeshSrc2Ref.o differ diff --git a/mesh/FaceFrontalization_algo/build/temp.macosx-10.7-x86_64-3.6/FaceFrontalization_core_cython.o b/mesh/FaceFrontalization_algo/build/temp.macosx-10.7-x86_64-3.6/FaceFrontalization_core_cython.o new file mode 100644 index 0000000..a801436 Binary files /dev/null and b/mesh/FaceFrontalization_algo/build/temp.macosx-10.7-x86_64-3.6/FaceFrontalization_core_cython.o differ diff --git a/mesh/FaceFrontalization_algo/setup.py b/mesh/FaceFrontalization_algo/setup.py new file mode 100644 index 0000000..05aa7ec --- /dev/null +++ b/mesh/FaceFrontalization_algo/setup.py @@ -0,0 +1,23 @@ +''' +python setup.py build_ext -i +to compile +''' + +# setup.py +from distutils.core import setup, Extension +from Cython.Build import cythonize +from Cython.Distutils import build_ext +import numpy +import sys +sys.path.append('.') + +setup( + name = 'zbuffer_core_cython', + cmdclass={'build_ext': build_ext}, + ext_modules=[Extension("FaceFrontalization_core_cython", + sources=["FaceFrontalization_core_cython.pyx", "FF_FaceFrontalization.cpp", "FF_MeshSrc2Ref.cpp"], + language='c++', + include_dirs=[numpy.get_include()], + extra_compile_args=['-stdlib=libc++'], + extra_link_args=['-stdlib=libc++'])], +) \ No newline at end of file diff --git a/mesh/FaceFrontalization_mesh.py b/mesh/FaceFrontalization_mesh.py new file mode 100644 index 0000000..0b4c8c1 --- /dev/null +++ b/mesh/FaceFrontalization_mesh.py @@ -0,0 +1,61 @@ +from .FaceFrontalization_algo import FaceFrontalization_core_cython +import numpy as np + +def FaceFrontalizationMapping(mask, tri_ind, all_vertex_src, all_vertex_ref, all_tri, bg_tri_num, + valid_tri_half, vertex_length, tri_length, sym_tri_list): + + tri_ind = tri_ind - 1 + all_vertex_src = all_vertex_src - 1 + all_vertex_ref = all_vertex_ref - 1 + all_tri = all_tri - 1 + # sym_tri_list = sym_tri_list + + height, width = mask.shape + all_ver_dim = all_vertex_ref.shape[0] + all_ver_length = all_vertex_ref.shape[1] + + all_tri_dim, all_tri_length = all_tri.shape + symlist_length = sym_tri_list.shape[1] + + mask = mask.astype(np.double).copy() + tri_ind = tri_ind.astype(np.double).copy() + all_vertex_src = np.transpose(all_vertex_src).astype(np.double).copy() + all_vertex_ref = np.transpose(all_vertex_ref).astype(np.double).copy() + all_tri = np.transpose(all_tri).astype(np.double).copy() + valid_tri_half = valid_tri_half.astype(np.double).copy() + sym_tri_list = np.transpose(sym_tri_list).astype(np.double).copy() + + FF = FaceFrontalization_core_cython.PyFaceFrontalizationMapping(mask, tri_ind, + width, height, 1, all_vertex_src, + all_vertex_ref, all_ver_dim, all_ver_length, + all_tri, all_tri_dim, all_tri_length, bg_tri_num, + valid_tri_half, + vertex_length, tri_length, sym_tri_list, symlist_length) + + corres_map = np.zeros((height, width, 2), dtype=np.double) + + corres_map_sym = np.zeros((height, width, 2), dtype=np.double) + + + FF.frontalization_mapping(corres_map, corres_map_sym) + + corres_map = corres_map + 1 + + corres_map_sym = corres_map_sym + 1 + + return corres_map, corres_map_sym + +def FaceFrontalizationFilling(img, corres_map): + corres_map = corres_map - 1 + + height, width, nChannels = img.shape + + img = img.astype(np.double).copy() + corres_map = corres_map.astype(np.double).copy() + + FF = FaceFrontalization_core_cython.PyFaceFrontalizationFilling(img, width, height, nChannels, corres_map) + + result = np.zeros((height, width, nChannels), dtype=np.double) + + FF.frontalization_filling(result) + return result diff --git a/mesh/Zbuffer_algo/3DMM.h b/mesh/Zbuffer_algo/3DMM.h new file mode 100755 index 0000000..1d0d6be --- /dev/null +++ b/mesh/Zbuffer_algo/3DMM.h @@ -0,0 +1,54 @@ +#ifndef MM3D_H +#define MM3D_H + +#include +#include "3DMMGlobal.h" +#include + +using namespace std; + +#define INF 1E20 + +class point +{ + public: + double x; + double y; + + float dot(point p) + { + return this->x * p.x + this->y * p.y; + } + + point operator-(const point& p) + { + point np; + np.x = this->x - p.x; + np.y = this->y - p.y; + return np; + } + + point operator+(const point& p) + { + point np; + np.x = this->x + p.x; + np.y = this->y + p.y; + return np; + } + + point operator*(double s) + { + point np; + np.x = s * this->x; + np.y = s * this->y; + return np; + } +}; + +// 3DMM and Reference Frame Mapping +void ZBuffer(double* vertex, double* tri, double* texture, int nver, int ntri, double* src_img, int width, int height, int nChannels, double* img, double* tri_ind); +void ZBufferTri(double* vertex, double* tri, double* texture_tri, int nver, int ntri, double* src_img, int width, int height, int nChannels, double* img, double* tri_ind); + +bool PointInTri(point p, point pt1, point pt2, point pt3); + +#endif \ No newline at end of file diff --git a/mesh/Zbuffer_algo/3DMMGlobal.h b/mesh/Zbuffer_algo/3DMMGlobal.h new file mode 100755 index 0000000..fffd53e --- /dev/null +++ b/mesh/Zbuffer_algo/3DMMGlobal.h @@ -0,0 +1,39 @@ +#ifndef MM3DGLOBAL_H +#define MM3DGLOBAL_H + +#ifndef PI +#define PI 3.1415926 +#endif + +#ifndef MIN_PHI +#define MIN_PHI -PI/2 - 20.0/180*PI +#endif + +#ifndef MAX_PHI +#define MAX_PHI PI/2 + 20.0/180*PI +#endif + +#ifndef MIN_Y +#define MIN_Y -14 * 1e4 +#endif + +#ifndef MAX_Y +#define MAX_Y 10 * 1e4; +#endif + +#ifndef WIDTHBYTES +#define WIDTHBYTES(bits) (((bits) + 31) >> 5 << 2) +#endif + +typedef struct +{ + float Amb_r; + float Amb_g; + float Amb_b; + float Dir_r; + float Dir_g; + float Dir_b; + float l[3]; +}Illum_Para; + +#endif \ No newline at end of file diff --git a/mesh/Zbuffer_algo/ModalAndRef.cpp b/mesh/Zbuffer_algo/ModalAndRef.cpp new file mode 100755 index 0000000..a7b7c34 --- /dev/null +++ b/mesh/Zbuffer_algo/ModalAndRef.cpp @@ -0,0 +1,228 @@ +#include "3DMM.h" + +void ZBuffer(double* vertex, double* tri, double* texture, int nver, int ntri, double* src_img, int width, int height, int nChannels, double* img, double* tri_ind) +{ + int i,j; + int x,y; + + double* point1 = new double[2 * ntri]; + double* point2 = new double[2 * ntri]; + double* point3 = new double[2 * ntri]; + double* h = new double[ntri]; + double* imgh = new double[width * height]; + double* tritex = new double[ntri * nChannels]; + + for(i = 0; i < width * height; i++) + { + imgh[i] = -99999999999999; + tri_ind[i] = -1; + } + + for(i = 0; i < ntri; i++) + { + // 3 point index of triangle + int p1 = int(tri[3*i]); + int p2 = int(tri[3*i+1]); + int p3 = int(tri[3*i+2]); + + point1[2*i] = vertex[3*p1]; point1[2*i+1] = vertex[3*p1+1]; + point2[2*i] = vertex[3*p2]; point2[2*i+1] = vertex[3*p2+1]; + point3[2*i] = vertex[3*p3]; point3[2*i+1] = vertex[3*p3+1]; + + double cent3d_z = (vertex[3*p1+2] + vertex[3*p2+2] + vertex[3*p3+2]) / 3; + + h[i] = cent3d_z; + + for(j = 0; j < nChannels; j++) + { + tritex[nChannels*i+j] = (texture[nChannels*p1+j] + texture[nChannels*p2+j] + texture[nChannels*p3+j]) / 3; + } + } + + point p, pt1, pt2, pt3; + + //init image + for(i = 0; i < width * height * nChannels; i++) + { + img[i] = src_img[i]; + } + + for(i = 0; i < ntri; i++) + { + pt1.x = point1[2*i]; pt1.y= point1[2*i+1]; + pt2.x = point2[2*i]; pt2.y = point2[2*i+1]; + pt3.x = point3[2*i]; pt3.y = point3[2*i+1]; + + int x_min = (int)ceil((double)min(min(pt1.x, pt2.x), pt3.x)); + int x_max = (int)floor((double)max(max(pt1.x, pt2.x), pt3.x)); + + int y_min = (int)ceil((double)min(min(pt1.y, pt2.y), pt3.y)); + int y_max = (int)floor((double)max(max(pt1.y, pt2.y), pt3.y)); + + if(x_max < x_min || y_max < y_min || x_max > width-1 || x_min < 0 || y_max > height-1 || y_min < 0) + continue; + + for(y = y_min; y <= y_max; y++) + { + for (x = x_min; x <= x_max; x++) + { + p.x = (double)x; + p.y = (double)y; + if( imgh[y * width + x] < h[i] && PointInTri(p, pt1, pt2, pt3)) + { + imgh[y * width + x] = h[i]; + for(j = 0; j < nChannels; j++) + { + img[j * width * height + y * width + x] = tritex[nChannels * i + j]; + } + tri_ind[y * width + x] = i; + } + } + } + } + + + delete[] point1; + delete[] point2; + delete[] point3; + delete[] h; + delete[] imgh; + delete[] tritex; +} + +void ZBufferTri(double* vertex, double* tri, double* texture_tri, int nver, int ntri, double* src_img, int width, int height, int nChannels, double* img, double* tri_ind) +{ + int i,j; + int x,y; + + double* point1 = new double[2 * ntri]; + double* point2 = new double[2 * ntri]; + double* point3 = new double[2 * ntri]; + double* h = new double[ntri]; + double* imgh = new double[width * height]; + double* tritex = texture_tri; + + for(i = 0; i < width * height; i++) + { + imgh[i] = -99999999999999; + tri_ind[i] = -1; + } + + for(i = 0; i < ntri; i++) + { + // 3 point index of triangle + int p1 = int(tri[3*i]); + int p2 = int(tri[3*i+1]); + int p3 = int(tri[3*i+2]); + + point1[2*i] = vertex[3*p1]; point1[2*i+1] = vertex[3*p1+1]; + point2[2*i] = vertex[3*p2]; point2[2*i+1] = vertex[3*p2+1]; + point3[2*i] = vertex[3*p3]; point3[2*i+1] = vertex[3*p3+1]; + + double cent3d_z = (vertex[3*p1+2] + vertex[3*p2+2] + vertex[3*p3+2]) / 3; + + h[i] = cent3d_z; + } + + point p, pt1, pt2, pt3; + + //init image + for(i = 0; i < width * height * nChannels; i++) + { + img[i] = src_img[i]; + } + + for(i = 0; i < ntri; i++) + { + pt1.x = point1[2*i]; pt1.y= point1[2*i+1]; + pt2.x = point2[2*i]; pt2.y = point2[2*i+1]; + pt3.x = point3[2*i]; pt3.y = point3[2*i+1]; + + int x_min = (int)ceil((double)min(min(pt1.x, pt2.x), pt3.x)); + int x_max = (int)floor((double)max(max(pt1.x, pt2.x), pt3.x)); + + int y_min = (int)ceil((double)min(min(pt1.y, pt2.y), pt3.y)); + int y_max = (int)floor((double)max(max(pt1.y, pt2.y), pt3.y)); + + if(x_max < x_min || y_max < y_min) + continue; + + x_min = min(max(x_min, 0), width-1); + x_max = min(max(x_max, 0), width-1); + y_min = min(max(y_min, 0), height-1); + y_max = min(max(y_max, 0), height-1); + + for(y = y_min; y <= y_max; y++) + { + for (x = x_min; x <= x_max; x++) + { + p.x = (double)x; + p.y = (double)y; + if( imgh[y * width + x] < h[i] && PointInTri(p, pt1, pt2, pt3)) + { + imgh[y * width + x] = h[i]; + for(j = 0; j < nChannels; j++) + { + img[j * width * height + y * width + x] = tritex[nChannels * i + j]; + } + tri_ind[y * width + x] = i; + } + } + } + } + + + delete[] point1; + delete[] point2; + delete[] point3; + delete[] h; + delete[] imgh; +} + +bool PointInTri(point p, point pt1, point pt2, point pt3) +{ + double pointx = p.x; + double pointy = p.y; + + double pt1x = pt1.x; + double pt1y = pt1.y; + + double pt2x = pt2.x; + double pt2y = pt2.y; + + double pt3x = pt3.x; + double pt3y = pt3.y; + + double v0x = pt3x - pt1x; + double v0y = pt3y - pt1y; + + double v1x = pt2x - pt1x; + double v1y = pt2y - pt1y; + + double v2x = pointx - pt1x; + double v2y = pointy - pt1y; + + double dot00 = v0x * v0x + v0y * v0y; + double dot01 = v0x * v1x + v0y * v1y; + double dot02 = v0x * v2x + v0y * v2y; + double dot11 = v1x * v1x + v1y * v1y; + double dot12 = v1x * v2x + v1y * v2y; + + double inverDeno = 0; + if((dot00 * dot11 - dot01 * dot01) == 0) + inverDeno = 0; + else + inverDeno = 1 / (dot00 * dot11 - dot01 * dot01); + + double u = (dot11 * dot02 - dot01 * dot12) * inverDeno; + + if(u < 0 || u > 1) + return 0; + + double v = (dot00 * dot12 - dot01 * dot02) * inverDeno; + + if(v < 0 || v > 1) + return 0; + + return u + v <= 1; +} \ No newline at end of file diff --git a/mesh/Zbuffer_algo/build/temp.macosx-10.7-x86_64-3.6/ModalAndRef.o b/mesh/Zbuffer_algo/build/temp.macosx-10.7-x86_64-3.6/ModalAndRef.o new file mode 100644 index 0000000..b0efe40 Binary files /dev/null and b/mesh/Zbuffer_algo/build/temp.macosx-10.7-x86_64-3.6/ModalAndRef.o differ diff --git a/mesh/Zbuffer_algo/build/temp.macosx-10.7-x86_64-3.6/zbuffer_core_cython.o b/mesh/Zbuffer_algo/build/temp.macosx-10.7-x86_64-3.6/zbuffer_core_cython.o new file mode 100644 index 0000000..01ee764 Binary files /dev/null and b/mesh/Zbuffer_algo/build/temp.macosx-10.7-x86_64-3.6/zbuffer_core_cython.o differ diff --git a/mesh/Zbuffer_algo/setup.py b/mesh/Zbuffer_algo/setup.py new file mode 100644 index 0000000..4987a46 --- /dev/null +++ b/mesh/Zbuffer_algo/setup.py @@ -0,0 +1,21 @@ +''' +python setup.py build_ext -i +to compile +''' + +# setup.py +from distutils.core import setup, Extension +from Cython.Build import cythonize +from Cython.Distutils import build_ext +import numpy + +setup( + name = 'zbuffer_core_cython', + cmdclass={'build_ext': build_ext}, + ext_modules=[Extension("zbuffer_core_cython", + sources=["zbuffer_core_cython.pyx", "ModalAndRef.cpp"], + language='c++', + include_dirs=[numpy.get_include()], + extra_compile_args=['-stdlib=libc++'], + extra_link_args=['-stdlib=libc++'])], +) \ No newline at end of file diff --git a/mesh/Zbuffer_algo/zbuffer_core_cython.cpp b/mesh/Zbuffer_algo/zbuffer_core_cython.cpp new file mode 100644 index 0000000..f929fa9 --- /dev/null +++ b/mesh/Zbuffer_algo/zbuffer_core_cython.cpp @@ -0,0 +1,8282 @@ +/* Generated by Cython 0.29.7 */ + +#define PY_SSIZE_T_CLEAN +#include "Python.h" +#ifndef Py_PYTHON_H + #error Python headers needed to compile C extensions, please install development version of Python. +#elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03030000) + #error Cython requires Python 2.6+ or Python 3.3+. +#else +#define CYTHON_ABI "0_29_7" +#define CYTHON_HEX_VERSION 0x001D07F0 +#define CYTHON_FUTURE_DIVISION 0 +#include +#ifndef offsetof + #define offsetof(type, member) ( (size_t) & ((type*)0) -> member ) +#endif +#if !defined(WIN32) && !defined(MS_WINDOWS) + #ifndef __stdcall + #define __stdcall + #endif + #ifndef __cdecl + #define __cdecl + #endif + #ifndef __fastcall + #define __fastcall + #endif +#endif +#ifndef DL_IMPORT + #define DL_IMPORT(t) t +#endif +#ifndef DL_EXPORT + #define DL_EXPORT(t) t +#endif +#define __PYX_COMMA , +#ifndef HAVE_LONG_LONG + #if PY_VERSION_HEX >= 0x02070000 + #define HAVE_LONG_LONG + #endif +#endif +#ifndef PY_LONG_LONG + #define PY_LONG_LONG LONG_LONG +#endif +#ifndef Py_HUGE_VAL + #define Py_HUGE_VAL HUGE_VAL +#endif +#ifdef PYPY_VERSION + #define CYTHON_COMPILING_IN_PYPY 1 + #define CYTHON_COMPILING_IN_PYSTON 0 + #define CYTHON_COMPILING_IN_CPYTHON 0 + #undef CYTHON_USE_TYPE_SLOTS + #define CYTHON_USE_TYPE_SLOTS 0 + #undef CYTHON_USE_PYTYPE_LOOKUP + #define CYTHON_USE_PYTYPE_LOOKUP 0 + #if PY_VERSION_HEX < 0x03050000 + #undef CYTHON_USE_ASYNC_SLOTS + #define CYTHON_USE_ASYNC_SLOTS 0 + #elif !defined(CYTHON_USE_ASYNC_SLOTS) + #define CYTHON_USE_ASYNC_SLOTS 1 + #endif + #undef CYTHON_USE_PYLIST_INTERNALS + #define CYTHON_USE_PYLIST_INTERNALS 0 + #undef CYTHON_USE_UNICODE_INTERNALS + #define CYTHON_USE_UNICODE_INTERNALS 0 + #undef CYTHON_USE_UNICODE_WRITER + #define CYTHON_USE_UNICODE_WRITER 0 + #undef CYTHON_USE_PYLONG_INTERNALS + #define CYTHON_USE_PYLONG_INTERNALS 0 + #undef CYTHON_AVOID_BORROWED_REFS + #define CYTHON_AVOID_BORROWED_REFS 1 + #undef CYTHON_ASSUME_SAFE_MACROS + #define CYTHON_ASSUME_SAFE_MACROS 0 + #undef CYTHON_UNPACK_METHODS + #define CYTHON_UNPACK_METHODS 0 + #undef CYTHON_FAST_THREAD_STATE + #define CYTHON_FAST_THREAD_STATE 0 + #undef CYTHON_FAST_PYCALL + #define CYTHON_FAST_PYCALL 0 + #undef CYTHON_PEP489_MULTI_PHASE_INIT + #define CYTHON_PEP489_MULTI_PHASE_INIT 0 + #undef CYTHON_USE_TP_FINALIZE + #define CYTHON_USE_TP_FINALIZE 0 + #undef CYTHON_USE_DICT_VERSIONS + #define CYTHON_USE_DICT_VERSIONS 0 + #undef CYTHON_USE_EXC_INFO_STACK + #define CYTHON_USE_EXC_INFO_STACK 0 +#elif defined(PYSTON_VERSION) + #define CYTHON_COMPILING_IN_PYPY 0 + #define CYTHON_COMPILING_IN_PYSTON 1 + #define CYTHON_COMPILING_IN_CPYTHON 0 + #ifndef CYTHON_USE_TYPE_SLOTS + #define CYTHON_USE_TYPE_SLOTS 1 + #endif + #undef CYTHON_USE_PYTYPE_LOOKUP + #define CYTHON_USE_PYTYPE_LOOKUP 0 + #undef CYTHON_USE_ASYNC_SLOTS + #define CYTHON_USE_ASYNC_SLOTS 0 + #undef CYTHON_USE_PYLIST_INTERNALS + #define CYTHON_USE_PYLIST_INTERNALS 0 + #ifndef CYTHON_USE_UNICODE_INTERNALS + #define CYTHON_USE_UNICODE_INTERNALS 1 + #endif + #undef CYTHON_USE_UNICODE_WRITER + #define CYTHON_USE_UNICODE_WRITER 0 + #undef CYTHON_USE_PYLONG_INTERNALS + #define CYTHON_USE_PYLONG_INTERNALS 0 + #ifndef CYTHON_AVOID_BORROWED_REFS + #define CYTHON_AVOID_BORROWED_REFS 0 + #endif + #ifndef CYTHON_ASSUME_SAFE_MACROS + #define CYTHON_ASSUME_SAFE_MACROS 1 + #endif + #ifndef CYTHON_UNPACK_METHODS + #define CYTHON_UNPACK_METHODS 1 + #endif + #undef CYTHON_FAST_THREAD_STATE + #define CYTHON_FAST_THREAD_STATE 0 + #undef CYTHON_FAST_PYCALL + #define CYTHON_FAST_PYCALL 0 + #undef CYTHON_PEP489_MULTI_PHASE_INIT + #define CYTHON_PEP489_MULTI_PHASE_INIT 0 + #undef CYTHON_USE_TP_FINALIZE + #define CYTHON_USE_TP_FINALIZE 0 + #undef CYTHON_USE_DICT_VERSIONS + #define CYTHON_USE_DICT_VERSIONS 0 + #undef CYTHON_USE_EXC_INFO_STACK + #define CYTHON_USE_EXC_INFO_STACK 0 +#else + #define CYTHON_COMPILING_IN_PYPY 0 + #define CYTHON_COMPILING_IN_PYSTON 0 + #define CYTHON_COMPILING_IN_CPYTHON 1 + #ifndef CYTHON_USE_TYPE_SLOTS + #define CYTHON_USE_TYPE_SLOTS 1 + #endif + #if PY_VERSION_HEX < 0x02070000 + #undef CYTHON_USE_PYTYPE_LOOKUP + #define CYTHON_USE_PYTYPE_LOOKUP 0 + #elif !defined(CYTHON_USE_PYTYPE_LOOKUP) + #define CYTHON_USE_PYTYPE_LOOKUP 1 + #endif + #if PY_MAJOR_VERSION < 3 + #undef CYTHON_USE_ASYNC_SLOTS + #define CYTHON_USE_ASYNC_SLOTS 0 + #elif !defined(CYTHON_USE_ASYNC_SLOTS) + #define CYTHON_USE_ASYNC_SLOTS 1 + #endif + #if PY_VERSION_HEX < 0x02070000 + #undef CYTHON_USE_PYLONG_INTERNALS + #define CYTHON_USE_PYLONG_INTERNALS 0 + #elif !defined(CYTHON_USE_PYLONG_INTERNALS) + #define CYTHON_USE_PYLONG_INTERNALS 1 + #endif + #ifndef CYTHON_USE_PYLIST_INTERNALS + #define CYTHON_USE_PYLIST_INTERNALS 1 + #endif + #ifndef CYTHON_USE_UNICODE_INTERNALS + #define CYTHON_USE_UNICODE_INTERNALS 1 + #endif + #if PY_VERSION_HEX < 0x030300F0 + #undef CYTHON_USE_UNICODE_WRITER + #define CYTHON_USE_UNICODE_WRITER 0 + #elif !defined(CYTHON_USE_UNICODE_WRITER) + #define CYTHON_USE_UNICODE_WRITER 1 + #endif + #ifndef CYTHON_AVOID_BORROWED_REFS + #define CYTHON_AVOID_BORROWED_REFS 0 + #endif + #ifndef CYTHON_ASSUME_SAFE_MACROS + #define CYTHON_ASSUME_SAFE_MACROS 1 + #endif + #ifndef CYTHON_UNPACK_METHODS + #define CYTHON_UNPACK_METHODS 1 + #endif + #ifndef CYTHON_FAST_THREAD_STATE + #define CYTHON_FAST_THREAD_STATE 1 + #endif + #ifndef CYTHON_FAST_PYCALL + #define CYTHON_FAST_PYCALL 1 + #endif + #ifndef CYTHON_PEP489_MULTI_PHASE_INIT + #define CYTHON_PEP489_MULTI_PHASE_INIT (PY_VERSION_HEX >= 0x03050000) + #endif + #ifndef CYTHON_USE_TP_FINALIZE + #define CYTHON_USE_TP_FINALIZE (PY_VERSION_HEX >= 0x030400a1) + #endif + #ifndef CYTHON_USE_DICT_VERSIONS + #define CYTHON_USE_DICT_VERSIONS (PY_VERSION_HEX >= 0x030600B1) + #endif + #ifndef CYTHON_USE_EXC_INFO_STACK + #define CYTHON_USE_EXC_INFO_STACK (PY_VERSION_HEX >= 0x030700A3) + #endif +#endif +#if !defined(CYTHON_FAST_PYCCALL) +#define CYTHON_FAST_PYCCALL (CYTHON_FAST_PYCALL && PY_VERSION_HEX >= 0x030600B1) +#endif +#if CYTHON_USE_PYLONG_INTERNALS + #include "longintrepr.h" + #undef SHIFT + #undef BASE + #undef MASK + #ifdef SIZEOF_VOID_P + enum { __pyx_check_sizeof_voidp = 1 / (int)(SIZEOF_VOID_P == sizeof(void*)) }; + #endif +#endif +#ifndef __has_attribute + #define __has_attribute(x) 0 +#endif +#ifndef __has_cpp_attribute + #define __has_cpp_attribute(x) 0 +#endif +#ifndef CYTHON_RESTRICT + #if defined(__GNUC__) + #define CYTHON_RESTRICT __restrict__ + #elif defined(_MSC_VER) && _MSC_VER >= 1400 + #define CYTHON_RESTRICT __restrict + #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L + #define CYTHON_RESTRICT restrict + #else + #define CYTHON_RESTRICT + #endif +#endif +#ifndef CYTHON_UNUSED +# if defined(__GNUC__) +# if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4)) +# define CYTHON_UNUSED __attribute__ ((__unused__)) +# else +# define CYTHON_UNUSED +# endif +# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER)) +# define CYTHON_UNUSED __attribute__ ((__unused__)) +# else +# define CYTHON_UNUSED +# endif +#endif +#ifndef CYTHON_MAYBE_UNUSED_VAR +# if defined(__cplusplus) + template void CYTHON_MAYBE_UNUSED_VAR( const T& ) { } +# else +# define CYTHON_MAYBE_UNUSED_VAR(x) (void)(x) +# endif +#endif +#ifndef CYTHON_NCP_UNUSED +# if CYTHON_COMPILING_IN_CPYTHON +# define CYTHON_NCP_UNUSED +# else +# define CYTHON_NCP_UNUSED CYTHON_UNUSED +# endif +#endif +#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None) +#ifdef _MSC_VER + #ifndef _MSC_STDINT_H_ + #if _MSC_VER < 1300 + typedef unsigned char uint8_t; + typedef unsigned int uint32_t; + #else + typedef unsigned __int8 uint8_t; + typedef unsigned __int32 uint32_t; + #endif + #endif +#else + #include +#endif +#ifndef CYTHON_FALLTHROUGH + #if defined(__cplusplus) && __cplusplus >= 201103L + #if __has_cpp_attribute(fallthrough) + #define CYTHON_FALLTHROUGH [[fallthrough]] + #elif __has_cpp_attribute(clang::fallthrough) + #define CYTHON_FALLTHROUGH [[clang::fallthrough]] + #elif __has_cpp_attribute(gnu::fallthrough) + #define CYTHON_FALLTHROUGH [[gnu::fallthrough]] + #endif + #endif + #ifndef CYTHON_FALLTHROUGH + #if __has_attribute(fallthrough) + #define CYTHON_FALLTHROUGH __attribute__((fallthrough)) + #else + #define CYTHON_FALLTHROUGH + #endif + #endif + #if defined(__clang__ ) && defined(__apple_build_version__) + #if __apple_build_version__ < 7000000 + #undef CYTHON_FALLTHROUGH + #define CYTHON_FALLTHROUGH + #endif + #endif +#endif + +#ifndef __cplusplus + #error "Cython files generated with the C++ option must be compiled with a C++ compiler." +#endif +#ifndef CYTHON_INLINE + #if defined(__clang__) + #define CYTHON_INLINE __inline__ __attribute__ ((__unused__)) + #else + #define CYTHON_INLINE inline + #endif +#endif +template +void __Pyx_call_destructor(T& x) { + x.~T(); +} +template +class __Pyx_FakeReference { + public: + __Pyx_FakeReference() : ptr(NULL) { } + __Pyx_FakeReference(const T& ref) : ptr(const_cast(&ref)) { } + T *operator->() { return ptr; } + T *operator&() { return ptr; } + operator T&() { return *ptr; } + template bool operator ==(U other) { return *ptr == other; } + template bool operator !=(U other) { return *ptr != other; } + private: + T *ptr; +}; + +#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX < 0x02070600 && !defined(Py_OptimizeFlag) + #define Py_OptimizeFlag 0 +#endif +#define __PYX_BUILD_PY_SSIZE_T "n" +#define CYTHON_FORMAT_SSIZE_T "z" +#if PY_MAJOR_VERSION < 3 + #define __Pyx_BUILTIN_MODULE_NAME "__builtin__" + #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\ + PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) + #define __Pyx_DefaultClassType PyClass_Type +#else + #define __Pyx_BUILTIN_MODULE_NAME "builtins" + #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\ + PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos) + #define __Pyx_DefaultClassType PyType_Type +#endif +#ifndef Py_TPFLAGS_CHECKTYPES + #define Py_TPFLAGS_CHECKTYPES 0 +#endif +#ifndef Py_TPFLAGS_HAVE_INDEX + #define Py_TPFLAGS_HAVE_INDEX 0 +#endif +#ifndef Py_TPFLAGS_HAVE_NEWBUFFER + #define Py_TPFLAGS_HAVE_NEWBUFFER 0 +#endif +#ifndef Py_TPFLAGS_HAVE_FINALIZE + #define Py_TPFLAGS_HAVE_FINALIZE 0 +#endif +#ifndef METH_STACKLESS + #define METH_STACKLESS 0 +#endif +#if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL) + #ifndef METH_FASTCALL + #define METH_FASTCALL 0x80 + #endif + typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs); + typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args, + Py_ssize_t nargs, PyObject *kwnames); +#else + #define __Pyx_PyCFunctionFast _PyCFunctionFast + #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords +#endif +#if CYTHON_FAST_PYCCALL +#define __Pyx_PyFastCFunction_Check(func)\ + ((PyCFunction_Check(func) && (METH_FASTCALL == (PyCFunction_GET_FLAGS(func) & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS))))) +#else +#define __Pyx_PyFastCFunction_Check(func) 0 +#endif +#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc) + #define PyObject_Malloc(s) PyMem_Malloc(s) + #define PyObject_Free(p) PyMem_Free(p) + #define PyObject_Realloc(p) PyMem_Realloc(p) +#endif +#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030400A1 + #define PyMem_RawMalloc(n) PyMem_Malloc(n) + #define PyMem_RawRealloc(p, n) PyMem_Realloc(p, n) + #define PyMem_RawFree(p) PyMem_Free(p) +#endif +#if CYTHON_COMPILING_IN_PYSTON + #define __Pyx_PyCode_HasFreeVars(co) PyCode_HasFreeVars(co) + #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno) +#else + #define __Pyx_PyCode_HasFreeVars(co) (PyCode_GetNumFree(co) > 0) + #define __Pyx_PyFrame_SetLineNumber(frame, lineno) (frame)->f_lineno = (lineno) +#endif +#if !CYTHON_FAST_THREAD_STATE || PY_VERSION_HEX < 0x02070000 + #define __Pyx_PyThreadState_Current PyThreadState_GET() +#elif PY_VERSION_HEX >= 0x03060000 + #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet() +#elif PY_VERSION_HEX >= 0x03000000 + #define __Pyx_PyThreadState_Current PyThreadState_GET() +#else + #define __Pyx_PyThreadState_Current _PyThreadState_Current +#endif +#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT) +#include "pythread.h" +#define Py_tss_NEEDS_INIT 0 +typedef int Py_tss_t; +static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) { + *key = PyThread_create_key(); + return 0; +} +static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) { + Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t)); + *key = Py_tss_NEEDS_INIT; + return key; +} +static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) { + PyObject_Free(key); +} +static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) { + return *key != Py_tss_NEEDS_INIT; +} +static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) { + PyThread_delete_key(*key); + *key = Py_tss_NEEDS_INIT; +} +static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) { + return PyThread_set_key_value(*key, value); +} +static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) { + return PyThread_get_key_value(*key); +} +#endif +#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized) +#define __Pyx_PyDict_NewPresized(n) ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n)) +#else +#define __Pyx_PyDict_NewPresized(n) PyDict_New() +#endif +#if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION + #define __Pyx_PyNumber_Divide(x,y) PyNumber_TrueDivide(x,y) + #define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceTrueDivide(x,y) +#else + #define __Pyx_PyNumber_Divide(x,y) PyNumber_Divide(x,y) + #define __Pyx_PyNumber_InPlaceDivide(x,y) PyNumber_InPlaceDivide(x,y) +#endif +#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS +#define __Pyx_PyDict_GetItemStr(dict, name) _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash) +#else +#define __Pyx_PyDict_GetItemStr(dict, name) PyDict_GetItem(dict, name) +#endif +#if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND) + #define CYTHON_PEP393_ENABLED 1 + #define __Pyx_PyUnicode_READY(op) (likely(PyUnicode_IS_READY(op)) ?\ + 0 : _PyUnicode_Ready((PyObject *)(op))) + #define __Pyx_PyUnicode_GET_LENGTH(u) PyUnicode_GET_LENGTH(u) + #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i) + #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u) PyUnicode_MAX_CHAR_VALUE(u) + #define __Pyx_PyUnicode_KIND(u) PyUnicode_KIND(u) + #define __Pyx_PyUnicode_DATA(u) PyUnicode_DATA(u) + #define __Pyx_PyUnicode_READ(k, d, i) PyUnicode_READ(k, d, i) + #define __Pyx_PyUnicode_WRITE(k, d, i, ch) PyUnicode_WRITE(k, d, i, ch) + #define __Pyx_PyUnicode_IS_TRUE(u) (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u))) +#else + #define CYTHON_PEP393_ENABLED 0 + #define PyUnicode_1BYTE_KIND 1 + #define PyUnicode_2BYTE_KIND 2 + #define PyUnicode_4BYTE_KIND 4 + #define __Pyx_PyUnicode_READY(op) (0) + #define __Pyx_PyUnicode_GET_LENGTH(u) PyUnicode_GET_SIZE(u) + #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i])) + #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u) ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111) + #define __Pyx_PyUnicode_KIND(u) (sizeof(Py_UNICODE)) + #define __Pyx_PyUnicode_DATA(u) ((void*)PyUnicode_AS_UNICODE(u)) + #define __Pyx_PyUnicode_READ(k, d, i) ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i])) + #define __Pyx_PyUnicode_WRITE(k, d, i, ch) (((void)(k)), ((Py_UNICODE*)d)[i] = ch) + #define __Pyx_PyUnicode_IS_TRUE(u) (0 != PyUnicode_GET_SIZE(u)) +#endif +#if CYTHON_COMPILING_IN_PYPY + #define __Pyx_PyUnicode_Concat(a, b) PyNumber_Add(a, b) + #define __Pyx_PyUnicode_ConcatSafe(a, b) PyNumber_Add(a, b) +#else + #define __Pyx_PyUnicode_Concat(a, b) PyUnicode_Concat(a, b) + #define __Pyx_PyUnicode_ConcatSafe(a, b) ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\ + PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b)) +#endif +#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_Contains) + #define PyUnicode_Contains(u, s) PySequence_Contains(u, s) +#endif +#if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check) + #define PyByteArray_Check(obj) PyObject_TypeCheck(obj, &PyByteArray_Type) +#endif +#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format) + #define PyObject_Format(obj, fmt) PyObject_CallMethod(obj, "__format__", "O", fmt) +#endif +#define __Pyx_PyString_FormatSafe(a, b) ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b)) +#define __Pyx_PyUnicode_FormatSafe(a, b) ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b)) +#if PY_MAJOR_VERSION >= 3 + #define __Pyx_PyString_Format(a, b) PyUnicode_Format(a, b) +#else + #define __Pyx_PyString_Format(a, b) PyString_Format(a, b) +#endif +#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII) + #define PyObject_ASCII(o) PyObject_Repr(o) +#endif +#if PY_MAJOR_VERSION >= 3 + #define PyBaseString_Type PyUnicode_Type + #define PyStringObject PyUnicodeObject + #define PyString_Type PyUnicode_Type + #define PyString_Check PyUnicode_Check + #define PyString_CheckExact PyUnicode_CheckExact + #define PyObject_Unicode PyObject_Str +#endif +#if PY_MAJOR_VERSION >= 3 + #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj) + #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj) +#else + #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj)) + #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj)) +#endif +#ifndef PySet_CheckExact + #define PySet_CheckExact(obj) (Py_TYPE(obj) == &PySet_Type) +#endif +#if CYTHON_ASSUME_SAFE_MACROS + #define __Pyx_PySequence_SIZE(seq) Py_SIZE(seq) +#else + #define __Pyx_PySequence_SIZE(seq) PySequence_Size(seq) +#endif +#if PY_MAJOR_VERSION >= 3 + #define PyIntObject PyLongObject + #define PyInt_Type PyLong_Type + #define PyInt_Check(op) PyLong_Check(op) + #define PyInt_CheckExact(op) PyLong_CheckExact(op) + #define PyInt_FromString PyLong_FromString + #define PyInt_FromUnicode PyLong_FromUnicode + #define PyInt_FromLong PyLong_FromLong + #define PyInt_FromSize_t PyLong_FromSize_t + #define PyInt_FromSsize_t PyLong_FromSsize_t + #define PyInt_AsLong PyLong_AsLong + #define PyInt_AS_LONG PyLong_AS_LONG + #define PyInt_AsSsize_t PyLong_AsSsize_t + #define PyInt_AsUnsignedLongMask PyLong_AsUnsignedLongMask + #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask + #define PyNumber_Int PyNumber_Long +#endif +#if PY_MAJOR_VERSION >= 3 + #define PyBoolObject PyLongObject +#endif +#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY + #ifndef PyUnicode_InternFromString + #define PyUnicode_InternFromString(s) PyUnicode_FromString(s) + #endif +#endif +#if PY_VERSION_HEX < 0x030200A4 + typedef long Py_hash_t; + #define __Pyx_PyInt_FromHash_t PyInt_FromLong + #define __Pyx_PyInt_AsHash_t PyInt_AsLong +#else + #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t + #define __Pyx_PyInt_AsHash_t PyInt_AsSsize_t +#endif +#if PY_MAJOR_VERSION >= 3 + #define __Pyx_PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : (Py_INCREF(func), func)) +#else + #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass) +#endif +#if CYTHON_USE_ASYNC_SLOTS + #if PY_VERSION_HEX >= 0x030500B1 + #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods + #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async) + #else + #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved)) + #endif +#else + #define __Pyx_PyType_AsAsync(obj) NULL +#endif +#ifndef __Pyx_PyAsyncMethodsStruct + typedef struct { + unaryfunc am_await; + unaryfunc am_aiter; + unaryfunc am_anext; + } __Pyx_PyAsyncMethodsStruct; +#endif + +#if defined(WIN32) || defined(MS_WINDOWS) + #define _USE_MATH_DEFINES +#endif +#include +#ifdef NAN +#define __PYX_NAN() ((float) NAN) +#else +static CYTHON_INLINE float __PYX_NAN() { + float value; + memset(&value, 0xFF, sizeof(value)); + return value; +} +#endif +#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL) +#define __Pyx_truncl trunc +#else +#define __Pyx_truncl truncl +#endif + + +#define __PYX_ERR(f_index, lineno, Ln_error) \ +{ \ + __pyx_filename = __pyx_f[f_index]; __pyx_lineno = lineno; __pyx_clineno = __LINE__; goto Ln_error; \ +} + +#ifndef __PYX_EXTERN_C + #ifdef __cplusplus + #define __PYX_EXTERN_C extern "C" + #else + #define __PYX_EXTERN_C extern + #endif +#endif + +#define __PYX_HAVE__zbuffer_core_cython +#define __PYX_HAVE_API__zbuffer_core_cython +/* Early includes */ +#include +#include +#include "numpy/arrayobject.h" +#include "numpy/ufuncobject.h" +#include "ios" +#include "new" +#include "stdexcept" +#include "typeinfo" +#include +#include "3DMM.h" +#ifdef _OPENMP +#include +#endif /* _OPENMP */ + +#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS) +#define CYTHON_WITHOUT_ASSERTIONS +#endif + +typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding; + const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry; + +#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0 +#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0 +#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8) +#define __PYX_DEFAULT_STRING_ENCODING "" +#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString +#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize +#define __Pyx_uchar_cast(c) ((unsigned char)c) +#define __Pyx_long_cast(x) ((long)x) +#define __Pyx_fits_Py_ssize_t(v, type, is_signed) (\ + (sizeof(type) < sizeof(Py_ssize_t)) ||\ + (sizeof(type) > sizeof(Py_ssize_t) &&\ + likely(v < (type)PY_SSIZE_T_MAX ||\ + v == (type)PY_SSIZE_T_MAX) &&\ + (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\ + v == (type)PY_SSIZE_T_MIN))) ||\ + (sizeof(type) == sizeof(Py_ssize_t) &&\ + (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\ + v == (type)PY_SSIZE_T_MAX))) ) +static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) { + return (size_t) i < (size_t) limit; +} +#if defined (__cplusplus) && __cplusplus >= 201103L + #include + #define __Pyx_sst_abs(value) std::abs(value) +#elif SIZEOF_INT >= SIZEOF_SIZE_T + #define __Pyx_sst_abs(value) abs(value) +#elif SIZEOF_LONG >= SIZEOF_SIZE_T + #define __Pyx_sst_abs(value) labs(value) +#elif defined (_MSC_VER) + #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value)) +#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L + #define __Pyx_sst_abs(value) llabs(value) +#elif defined (__GNUC__) + #define __Pyx_sst_abs(value) __builtin_llabs(value) +#else + #define __Pyx_sst_abs(value) ((value<0) ? -value : value) +#endif +static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*); +static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length); +#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s)) +#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l) +#define __Pyx_PyBytes_FromString PyBytes_FromString +#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize +static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*); +#if PY_MAJOR_VERSION < 3 + #define __Pyx_PyStr_FromString __Pyx_PyBytes_FromString + #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize +#else + #define __Pyx_PyStr_FromString __Pyx_PyUnicode_FromString + #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize +#endif +#define __Pyx_PyBytes_AsWritableString(s) ((char*) PyBytes_AS_STRING(s)) +#define __Pyx_PyBytes_AsWritableSString(s) ((signed char*) PyBytes_AS_STRING(s)) +#define __Pyx_PyBytes_AsWritableUString(s) ((unsigned char*) PyBytes_AS_STRING(s)) +#define __Pyx_PyBytes_AsString(s) ((const char*) PyBytes_AS_STRING(s)) +#define __Pyx_PyBytes_AsSString(s) ((const signed char*) PyBytes_AS_STRING(s)) +#define __Pyx_PyBytes_AsUString(s) ((const unsigned char*) PyBytes_AS_STRING(s)) +#define __Pyx_PyObject_AsWritableString(s) ((char*) __Pyx_PyObject_AsString(s)) +#define __Pyx_PyObject_AsWritableSString(s) ((signed char*) __Pyx_PyObject_AsString(s)) +#define __Pyx_PyObject_AsWritableUString(s) ((unsigned char*) __Pyx_PyObject_AsString(s)) +#define __Pyx_PyObject_AsSString(s) ((const signed char*) __Pyx_PyObject_AsString(s)) +#define __Pyx_PyObject_AsUString(s) ((const unsigned char*) __Pyx_PyObject_AsString(s)) +#define __Pyx_PyObject_FromCString(s) __Pyx_PyObject_FromString((const char*)s) +#define __Pyx_PyBytes_FromCString(s) __Pyx_PyBytes_FromString((const char*)s) +#define __Pyx_PyByteArray_FromCString(s) __Pyx_PyByteArray_FromString((const char*)s) +#define __Pyx_PyStr_FromCString(s) __Pyx_PyStr_FromString((const char*)s) +#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s) +static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) { + const Py_UNICODE *u_end = u; + while (*u_end++) ; + return (size_t)(u_end - u - 1); +} +#define __Pyx_PyUnicode_FromUnicode(u) PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u)) +#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode +#define __Pyx_PyUnicode_AsUnicode PyUnicode_AsUnicode +#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj) +#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None) +static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b); +static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*); +static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*); +static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x); +#define __Pyx_PySequence_Tuple(obj)\ + (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj)) +static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*); +static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t); +#if CYTHON_ASSUME_SAFE_MACROS +#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x)) +#else +#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x) +#endif +#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x)) +#if PY_MAJOR_VERSION >= 3 +#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x)) +#else +#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x)) +#endif +#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x)) +#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII +static int __Pyx_sys_getdefaultencoding_not_ascii; +static int __Pyx_init_sys_getdefaultencoding_params(void) { + PyObject* sys; + PyObject* default_encoding = NULL; + PyObject* ascii_chars_u = NULL; + PyObject* ascii_chars_b = NULL; + const char* default_encoding_c; + sys = PyImport_ImportModule("sys"); + if (!sys) goto bad; + default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL); + Py_DECREF(sys); + if (!default_encoding) goto bad; + default_encoding_c = PyBytes_AsString(default_encoding); + if (!default_encoding_c) goto bad; + if (strcmp(default_encoding_c, "ascii") == 0) { + __Pyx_sys_getdefaultencoding_not_ascii = 0; + } else { + char ascii_chars[128]; + int c; + for (c = 0; c < 128; c++) { + ascii_chars[c] = c; + } + __Pyx_sys_getdefaultencoding_not_ascii = 1; + ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL); + if (!ascii_chars_u) goto bad; + ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL); + if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) { + PyErr_Format( + PyExc_ValueError, + "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.", + default_encoding_c); + goto bad; + } + Py_DECREF(ascii_chars_u); + Py_DECREF(ascii_chars_b); + } + Py_DECREF(default_encoding); + return 0; +bad: + Py_XDECREF(default_encoding); + Py_XDECREF(ascii_chars_u); + Py_XDECREF(ascii_chars_b); + return -1; +} +#endif +#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3 +#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL) +#else +#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL) +#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT +static char* __PYX_DEFAULT_STRING_ENCODING; +static int __Pyx_init_sys_getdefaultencoding_params(void) { + PyObject* sys; + PyObject* default_encoding = NULL; + char* default_encoding_c; + sys = PyImport_ImportModule("sys"); + if (!sys) goto bad; + default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL); + Py_DECREF(sys); + if (!default_encoding) goto bad; + default_encoding_c = PyBytes_AsString(default_encoding); + if (!default_encoding_c) goto bad; + __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1); + if (!__PYX_DEFAULT_STRING_ENCODING) goto bad; + strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c); + Py_DECREF(default_encoding); + return 0; +bad: + Py_XDECREF(default_encoding); + return -1; +} +#endif +#endif + + +/* Test for GCC > 2.95 */ +#if defined(__GNUC__) && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95))) + #define likely(x) __builtin_expect(!!(x), 1) + #define unlikely(x) __builtin_expect(!!(x), 0) +#else /* !__GNUC__ or GCC < 2.95 */ + #define likely(x) (x) + #define unlikely(x) (x) +#endif /* __GNUC__ */ +static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; } + +static PyObject *__pyx_m = NULL; +static PyObject *__pyx_d; +static PyObject *__pyx_b; +static PyObject *__pyx_cython_runtime = NULL; +static PyObject *__pyx_empty_tuple; +static PyObject *__pyx_empty_bytes; +static PyObject *__pyx_empty_unicode; +static int __pyx_lineno; +static int __pyx_clineno = 0; +static const char * __pyx_cfilenm= __FILE__; +static const char *__pyx_filename; + +/* Header.proto */ +#if !defined(CYTHON_CCOMPLEX) + #if defined(__cplusplus) + #define CYTHON_CCOMPLEX 1 + #elif defined(_Complex_I) + #define CYTHON_CCOMPLEX 1 + #else + #define CYTHON_CCOMPLEX 0 + #endif +#endif +#if CYTHON_CCOMPLEX + #ifdef __cplusplus + #include + #else + #include + #endif +#endif +#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__) + #undef _Complex_I + #define _Complex_I 1.0fj +#endif + + +static const char *__pyx_f[] = { + "zbuffer_core_cython.pyx", + "__init__.pxd", + "type.pxd", +}; +/* BufferFormatStructs.proto */ +#define IS_UNSIGNED(type) (((type) -1) > 0) +struct __Pyx_StructField_; +#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0) +typedef struct { + const char* name; + struct __Pyx_StructField_* fields; + size_t size; + size_t arraysize[8]; + int ndim; + char typegroup; + char is_unsigned; + int flags; +} __Pyx_TypeInfo; +typedef struct __Pyx_StructField_ { + __Pyx_TypeInfo* type; + const char* name; + size_t offset; +} __Pyx_StructField; +typedef struct { + __Pyx_StructField* field; + size_t parent_offset; +} __Pyx_BufFmt_StackElem; +typedef struct { + __Pyx_StructField root; + __Pyx_BufFmt_StackElem* head; + size_t fmt_offset; + size_t new_count, enc_count; + size_t struct_alignment; + int is_complex; + char enc_type; + char new_packmode; + char enc_packmode; + char is_valid_array; +} __Pyx_BufFmt_Context; + + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":776 + * # in Cython to enable them only on the right systems. + * + * ctypedef npy_int8 int8_t # <<<<<<<<<<<<<< + * ctypedef npy_int16 int16_t + * ctypedef npy_int32 int32_t + */ +typedef npy_int8 __pyx_t_5numpy_int8_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":777 + * + * ctypedef npy_int8 int8_t + * ctypedef npy_int16 int16_t # <<<<<<<<<<<<<< + * ctypedef npy_int32 int32_t + * ctypedef npy_int64 int64_t + */ +typedef npy_int16 __pyx_t_5numpy_int16_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":778 + * ctypedef npy_int8 int8_t + * ctypedef npy_int16 int16_t + * ctypedef npy_int32 int32_t # <<<<<<<<<<<<<< + * ctypedef npy_int64 int64_t + * #ctypedef npy_int96 int96_t + */ +typedef npy_int32 __pyx_t_5numpy_int32_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":779 + * ctypedef npy_int16 int16_t + * ctypedef npy_int32 int32_t + * ctypedef npy_int64 int64_t # <<<<<<<<<<<<<< + * #ctypedef npy_int96 int96_t + * #ctypedef npy_int128 int128_t + */ +typedef npy_int64 __pyx_t_5numpy_int64_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":783 + * #ctypedef npy_int128 int128_t + * + * ctypedef npy_uint8 uint8_t # <<<<<<<<<<<<<< + * ctypedef npy_uint16 uint16_t + * ctypedef npy_uint32 uint32_t + */ +typedef npy_uint8 __pyx_t_5numpy_uint8_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":784 + * + * ctypedef npy_uint8 uint8_t + * ctypedef npy_uint16 uint16_t # <<<<<<<<<<<<<< + * ctypedef npy_uint32 uint32_t + * ctypedef npy_uint64 uint64_t + */ +typedef npy_uint16 __pyx_t_5numpy_uint16_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":785 + * ctypedef npy_uint8 uint8_t + * ctypedef npy_uint16 uint16_t + * ctypedef npy_uint32 uint32_t # <<<<<<<<<<<<<< + * ctypedef npy_uint64 uint64_t + * #ctypedef npy_uint96 uint96_t + */ +typedef npy_uint32 __pyx_t_5numpy_uint32_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":786 + * ctypedef npy_uint16 uint16_t + * ctypedef npy_uint32 uint32_t + * ctypedef npy_uint64 uint64_t # <<<<<<<<<<<<<< + * #ctypedef npy_uint96 uint96_t + * #ctypedef npy_uint128 uint128_t + */ +typedef npy_uint64 __pyx_t_5numpy_uint64_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":790 + * #ctypedef npy_uint128 uint128_t + * + * ctypedef npy_float32 float32_t # <<<<<<<<<<<<<< + * ctypedef npy_float64 float64_t + * #ctypedef npy_float80 float80_t + */ +typedef npy_float32 __pyx_t_5numpy_float32_t; 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+ +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":808 + * ctypedef npy_ulonglong ulonglong_t + * + * ctypedef npy_intp intp_t # <<<<<<<<<<<<<< + * ctypedef npy_uintp uintp_t + * + */ +typedef npy_intp __pyx_t_5numpy_intp_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":809 + * + * ctypedef npy_intp intp_t + * ctypedef npy_uintp uintp_t # <<<<<<<<<<<<<< + * + * ctypedef npy_double float_t + */ +typedef npy_uintp __pyx_t_5numpy_uintp_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":811 + * ctypedef npy_uintp uintp_t + * + * ctypedef npy_double float_t # <<<<<<<<<<<<<< + * ctypedef npy_double double_t + * ctypedef npy_longdouble longdouble_t + */ +typedef npy_double __pyx_t_5numpy_float_t; + +/* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":812 + * + * ctypedef npy_double float_t + * ctypedef npy_double double_t # <<<<<<<<<<<<<< + * ctypedef npy_longdouble longdouble_t + * + */ +typedef npy_double __pyx_t_5numpy_double_t; 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r = NULL; __Pyx_DECREF(tmp);}} while(0) + +/* RaiseArgTupleInvalid.proto */ +static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact, + Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found); + +/* RaiseDoubleKeywords.proto */ +static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name); + +/* ParseKeywords.proto */ +static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],\ + PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args,\ + const char* function_name); + +/* ArgTypeTest.proto */ +#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\ + ((likely((Py_TYPE(obj) == type) | (none_allowed && (obj == Py_None)))) ? 1 :\ + __Pyx__ArgTypeTest(obj, type, name, exact)) +static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact); + +/* IsLittleEndian.proto */ +static CYTHON_INLINE int __Pyx_Is_Little_Endian(void); + +/* BufferFormatCheck.proto */ +static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts); +static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx, + __Pyx_BufFmt_StackElem* stack, + __Pyx_TypeInfo* type); + +/* BufferGetAndValidate.proto */ +#define __Pyx_GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack)\ + ((obj == Py_None || obj == NULL) ?\ + (__Pyx_ZeroBuffer(buf), 0) :\ + __Pyx__GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack)) +static int __Pyx__GetBufferAndValidate(Py_buffer* buf, PyObject* obj, + __Pyx_TypeInfo* dtype, int flags, int nd, int cast, __Pyx_BufFmt_StackElem* stack); +static void __Pyx_ZeroBuffer(Py_buffer* buf); +static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info); +static Py_ssize_t __Pyx_minusones[] = { -1, -1, -1, -1, -1, -1, -1, -1 }; +static Py_ssize_t __Pyx_zeros[] = { 0, 0, 0, 0, 0, 0, 0, 0 }; + +/* PyThreadStateGet.proto */ +#if CYTHON_FAST_THREAD_STATE +#define __Pyx_PyThreadState_declare PyThreadState *__pyx_tstate; +#define __Pyx_PyThreadState_assign __pyx_tstate = __Pyx_PyThreadState_Current; +#define __Pyx_PyErr_Occurred() __pyx_tstate->curexc_type +#else +#define __Pyx_PyThreadState_declare +#define __Pyx_PyThreadState_assign +#define __Pyx_PyErr_Occurred() PyErr_Occurred() +#endif + +/* PyErrFetchRestore.proto */ +#if CYTHON_FAST_THREAD_STATE +#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL) +#define __Pyx_ErrRestoreWithState(type, value, tb) __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb) +#define __Pyx_ErrFetchWithState(type, value, tb) __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb) +#define __Pyx_ErrRestore(type, value, tb) __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb) +#define __Pyx_ErrFetch(type, value, tb) __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb) +static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb); +static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb); +#if CYTHON_COMPILING_IN_CPYTHON +#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL)) +#else +#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc) +#endif +#else +#define __Pyx_PyErr_Clear() PyErr_Clear() +#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc) +#define __Pyx_ErrRestoreWithState(type, value, tb) PyErr_Restore(type, value, tb) +#define __Pyx_ErrFetchWithState(type, value, tb) PyErr_Fetch(type, value, tb) +#define __Pyx_ErrRestoreInState(tstate, type, value, tb) PyErr_Restore(type, value, tb) +#define __Pyx_ErrFetchInState(tstate, type, value, tb) PyErr_Fetch(type, value, tb) +#define __Pyx_ErrRestore(type, value, tb) PyErr_Restore(type, value, tb) +#define __Pyx_ErrFetch(type, value, tb) PyErr_Fetch(type, value, tb) +#endif + +/* PyObjectGetAttrStr.proto */ +#if CYTHON_USE_TYPE_SLOTS +static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name); +#else +#define __Pyx_PyObject_GetAttrStr(o,n) PyObject_GetAttr(o,n) +#endif + +/* GetBuiltinName.proto */ +static PyObject *__Pyx_GetBuiltinName(PyObject *name); + +/* PyObjectCall.proto */ +#if CYTHON_COMPILING_IN_CPYTHON +static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw); +#else +#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw) +#endif + +/* RaiseException.proto */ +static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause); + +/* PyCFunctionFastCall.proto */ +#if CYTHON_FAST_PYCCALL +static CYTHON_INLINE PyObject *__Pyx_PyCFunction_FastCall(PyObject *func, PyObject **args, Py_ssize_t nargs); +#else +#define __Pyx_PyCFunction_FastCall(func, args, nargs) (assert(0), NULL) +#endif + +/* PyFunctionFastCall.proto */ +#if CYTHON_FAST_PYCALL +#define __Pyx_PyFunction_FastCall(func, args, nargs)\ + __Pyx_PyFunction_FastCallDict((func), (args), (nargs), NULL) +#if 1 || PY_VERSION_HEX < 0x030600B1 +static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, int nargs, PyObject *kwargs); +#else +#define __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs) _PyFunction_FastCallDict(func, args, nargs, kwargs) +#endif +#define __Pyx_BUILD_ASSERT_EXPR(cond)\ + (sizeof(char [1 - 2*!(cond)]) - 1) +#ifndef Py_MEMBER_SIZE +#define Py_MEMBER_SIZE(type, member) sizeof(((type *)0)->member) +#endif + static size_t __pyx_pyframe_localsplus_offset = 0; + #include "frameobject.h" + #define __Pxy_PyFrame_Initialize_Offsets()\ + ((void)__Pyx_BUILD_ASSERT_EXPR(sizeof(PyFrameObject) == offsetof(PyFrameObject, f_localsplus) + Py_MEMBER_SIZE(PyFrameObject, f_localsplus)),\ + (void)(__pyx_pyframe_localsplus_offset = ((size_t)PyFrame_Type.tp_basicsize) - Py_MEMBER_SIZE(PyFrameObject, f_localsplus))) + #define __Pyx_PyFrame_GetLocalsplus(frame)\ + (assert(__pyx_pyframe_localsplus_offset), (PyObject **)(((char *)(frame)) + __pyx_pyframe_localsplus_offset)) +#endif + +/* PyObjectCallMethO.proto */ +#if CYTHON_COMPILING_IN_CPYTHON +static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg); +#endif + +/* PyObjectCallOneArg.proto */ +static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg); + +/* DictGetItem.proto */ +#if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY +static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key); +#define __Pyx_PyObject_Dict_GetItem(obj, name)\ + (likely(PyDict_CheckExact(obj)) ?\ + __Pyx_PyDict_GetItem(obj, name) : PyObject_GetItem(obj, name)) +#else +#define __Pyx_PyDict_GetItem(d, key) PyObject_GetItem(d, key) +#define __Pyx_PyObject_Dict_GetItem(obj, name) PyObject_GetItem(obj, name) +#endif + +/* RaiseTooManyValuesToUnpack.proto */ +static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected); + +/* RaiseNeedMoreValuesToUnpack.proto */ +static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index); + +/* RaiseNoneIterError.proto */ +static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void); + +/* ExtTypeTest.proto */ +static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type); + +/* GetTopmostException.proto */ +#if CYTHON_USE_EXC_INFO_STACK +static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate); +#endif + +/* SaveResetException.proto */ +#if CYTHON_FAST_THREAD_STATE +#define __Pyx_ExceptionSave(type, value, tb) __Pyx__ExceptionSave(__pyx_tstate, type, value, tb) +static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb); +#define __Pyx_ExceptionReset(type, value, tb) __Pyx__ExceptionReset(__pyx_tstate, type, value, tb) +static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb); +#else +#define __Pyx_ExceptionSave(type, value, tb) PyErr_GetExcInfo(type, value, tb) +#define __Pyx_ExceptionReset(type, value, tb) PyErr_SetExcInfo(type, value, tb) +#endif + +/* PyErrExceptionMatches.proto */ +#if CYTHON_FAST_THREAD_STATE +#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err) +static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err); +#else +#define __Pyx_PyErr_ExceptionMatches(err) PyErr_ExceptionMatches(err) +#endif + +/* GetException.proto */ +#if CYTHON_FAST_THREAD_STATE +#define __Pyx_GetException(type, value, tb) __Pyx__GetException(__pyx_tstate, type, value, tb) +static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb); +#else +static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb); +#endif + +/* TypeImport.proto */ +#ifndef __PYX_HAVE_RT_ImportType_proto +#define __PYX_HAVE_RT_ImportType_proto +enum __Pyx_ImportType_CheckSize { + __Pyx_ImportType_CheckSize_Error = 0, + __Pyx_ImportType_CheckSize_Warn = 1, + __Pyx_ImportType_CheckSize_Ignore = 2 +}; +static PyTypeObject *__Pyx_ImportType(PyObject* module, const char *module_name, const char *class_name, size_t size, enum __Pyx_ImportType_CheckSize check_size); +#endif + +/* Import.proto */ +static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level); + +/* PyDictVersioning.proto */ +#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS +#define __PYX_DICT_VERSION_INIT ((PY_UINT64_T) -1) +#define __PYX_GET_DICT_VERSION(dict) (((PyDictObject*)(dict))->ma_version_tag) +#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\ + (version_var) = __PYX_GET_DICT_VERSION(dict);\ + (cache_var) = (value); +#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\ + static PY_UINT64_T __pyx_dict_version = 0;\ + static PyObject *__pyx_dict_cached_value = NULL;\ + if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\ + (VAR) = __pyx_dict_cached_value;\ + } else {\ + (VAR) = __pyx_dict_cached_value = (LOOKUP);\ + __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\ + }\ +} +static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj); +static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj); +static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version); +#else +#define __PYX_GET_DICT_VERSION(dict) (0) +#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var) +#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) (VAR) = (LOOKUP); +#endif + +/* CLineInTraceback.proto */ +#ifdef CYTHON_CLINE_IN_TRACEBACK +#define __Pyx_CLineForTraceback(tstate, c_line) (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0) +#else +static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line); +#endif + +/* CodeObjectCache.proto */ +typedef struct { + PyCodeObject* code_object; + int code_line; +} __Pyx_CodeObjectCacheEntry; +struct __Pyx_CodeObjectCache { + int count; + int max_count; + __Pyx_CodeObjectCacheEntry* entries; +}; +static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL}; +static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line); +static PyCodeObject *__pyx_find_code_object(int code_line); +static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object); + +/* AddTraceback.proto */ +static void __Pyx_AddTraceback(const char *funcname, int c_line, + int py_line, const char *filename); + +/* BufferStructDeclare.proto */ +typedef struct { + Py_ssize_t shape, strides, suboffsets; +} __Pyx_Buf_DimInfo; +typedef struct { + size_t refcount; + Py_buffer pybuffer; +} __Pyx_Buffer; +typedef struct { + __Pyx_Buffer *rcbuffer; + char *data; + __Pyx_Buf_DimInfo diminfo[8]; +} __Pyx_LocalBuf_ND; + +#if PY_MAJOR_VERSION < 3 + static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags); + static void __Pyx_ReleaseBuffer(Py_buffer *view); +#else + #define __Pyx_GetBuffer PyObject_GetBuffer + #define __Pyx_ReleaseBuffer PyBuffer_Release +#endif + + +/* RealImag.proto */ +#if CYTHON_CCOMPLEX + #ifdef __cplusplus + #define __Pyx_CREAL(z) ((z).real()) + #define __Pyx_CIMAG(z) ((z).imag()) + #else + #define __Pyx_CREAL(z) (__real__(z)) + #define __Pyx_CIMAG(z) (__imag__(z)) + #endif +#else + #define __Pyx_CREAL(z) ((z).real) + #define __Pyx_CIMAG(z) ((z).imag) +#endif +#if defined(__cplusplus) && CYTHON_CCOMPLEX\ + && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103) + #define __Pyx_SET_CREAL(z,x) ((z).real(x)) + #define __Pyx_SET_CIMAG(z,y) ((z).imag(y)) +#else + #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x) + #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y) +#endif + +/* Arithmetic.proto */ +#if CYTHON_CCOMPLEX + #define __Pyx_c_eq_float(a, b) ((a)==(b)) + #define __Pyx_c_sum_float(a, b) ((a)+(b)) + #define __Pyx_c_diff_float(a, b) ((a)-(b)) + #define __Pyx_c_prod_float(a, b) ((a)*(b)) + #define __Pyx_c_quot_float(a, b) ((a)/(b)) + #define __Pyx_c_neg_float(a) (-(a)) + #ifdef __cplusplus + #define __Pyx_c_is_zero_float(z) ((z)==(float)0) + #define __Pyx_c_conj_float(z) (::std::conj(z)) + #if 1 + #define __Pyx_c_abs_float(z) (::std::abs(z)) + #define __Pyx_c_pow_float(a, b) (::std::pow(a, b)) + #endif + #else + #define __Pyx_c_is_zero_float(z) ((z)==0) + #define __Pyx_c_conj_float(z) (conjf(z)) + #if 1 + #define __Pyx_c_abs_float(z) (cabsf(z)) + #define __Pyx_c_pow_float(a, b) (cpowf(a, b)) + #endif + #endif +#else + static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex); + static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex); + #if 1 + static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex); + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex); + #endif +#endif + +/* Arithmetic.proto */ +#if CYTHON_CCOMPLEX + #define __Pyx_c_eq_double(a, b) ((a)==(b)) + #define __Pyx_c_sum_double(a, b) ((a)+(b)) + #define __Pyx_c_diff_double(a, b) ((a)-(b)) + #define __Pyx_c_prod_double(a, b) ((a)*(b)) + #define __Pyx_c_quot_double(a, b) ((a)/(b)) + #define __Pyx_c_neg_double(a) (-(a)) + #ifdef __cplusplus + #define __Pyx_c_is_zero_double(z) ((z)==(double)0) + #define __Pyx_c_conj_double(z) (::std::conj(z)) + #if 1 + #define __Pyx_c_abs_double(z) (::std::abs(z)) + #define __Pyx_c_pow_double(a, b) (::std::pow(a, b)) + #endif + #else + #define __Pyx_c_is_zero_double(z) ((z)==0) + #define __Pyx_c_conj_double(z) (conj(z)) + #if 1 + #define __Pyx_c_abs_double(z) (cabs(z)) + #define __Pyx_c_pow_double(a, b) (cpow(a, b)) + #endif + #endif +#else + static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex); + static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex); + #if 1 + static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex); + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex); + #endif +#endif + +/* CIntToPy.proto */ +static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value); + +/* CIntToPy.proto */ +static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value); + +/* CIntFromPy.proto */ +static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *); + +/* CIntToPy.proto */ +static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value); + +/* CIntFromPy.proto */ +static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *); + +/* FastTypeChecks.proto */ +#if CYTHON_COMPILING_IN_CPYTHON +#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type) +static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b); +static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type); +static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2); +#else +#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type) +#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type) +#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2)) +#endif +#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception) + +/* CheckBinaryVersion.proto */ +static int __Pyx_check_binary_version(void); + +/* InitStrings.proto */ +static int __Pyx_InitStrings(__Pyx_StringTabEntry *t); + + +/* Module declarations from 'cpython.buffer' */ + +/* Module declarations from 'libc.string' */ + +/* Module declarations from 'libc.stdio' */ + +/* Module declarations from '__builtin__' */ + +/* Module declarations from 'cpython.type' */ +static PyTypeObject *__pyx_ptype_7cpython_4type_type = 0; + +/* Module declarations from 'cpython' */ + +/* Module declarations from 'cpython.object' */ + +/* Module declarations from 'cpython.ref' */ + +/* Module declarations from 'cpython.mem' */ + +/* Module declarations from 'numpy' */ + +/* Module declarations from 'numpy' */ +static PyTypeObject *__pyx_ptype_5numpy_dtype = 0; +static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0; +static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0; +static PyTypeObject *__pyx_ptype_5numpy_ndarray = 0; +static PyTypeObject *__pyx_ptype_5numpy_ufunc = 0; +static CYTHON_INLINE char *__pyx_f_5numpy__util_dtypestring(PyArray_Descr *, char *, char *, int *); /*proto*/ +static CYTHON_INLINE int __pyx_f_5numpy_import_array(void); /*proto*/ + +/* Module declarations from 'libcpp.string' */ + +/* Module declarations from 'zbuffer_core_cython' */ +static __Pyx_TypeInfo __Pyx_TypeInfo_double = { "double", NULL, sizeof(double), { 0 }, 0, 'R', 0, 0 }; +#define __Pyx_MODULE_NAME "zbuffer_core_cython" +extern int __pyx_module_is_main_zbuffer_core_cython; +int __pyx_module_is_main_zbuffer_core_cython = 0; + +/* Implementation of 'zbuffer_core_cython' */ +static PyObject *__pyx_builtin_ValueError; +static PyObject *__pyx_builtin_range; +static PyObject *__pyx_builtin_RuntimeError; +static PyObject *__pyx_builtin_ImportError; +static const char __pyx_k_np[] = "np"; +static const char __pyx_k_img[] = "img"; +static const char __pyx_k_tri[] = "tri"; +static const char __pyx_k_main[] = "__main__"; +static const char __pyx_k_name[] = "__name__"; +static const char __pyx_k_ntri[] = "ntri"; +static const char __pyx_k_nver[] = "nver"; +static const char __pyx_k_test[] = "__test__"; +static const char __pyx_k_numpy[] = "numpy"; +static const char __pyx_k_range[] = "range"; +static const char __pyx_k_width[] = "width"; +static const char __pyx_k_height[] = "height"; +static const char __pyx_k_import[] = "__import__"; +static const char __pyx_k_vertex[] = "vertex"; +static const char __pyx_k_src_img[] = "src_img"; +static const char __pyx_k_texture[] = "texture"; +static const char __pyx_k_tri_ind[] = "tri_ind"; +static const char __pyx_k_nChannels[] = "nChannels"; +static const char __pyx_k_ValueError[] = "ValueError"; +static const char __pyx_k_ImportError[] = "ImportError"; +static const char __pyx_k_texture_tri[] = "texture_tri"; +static const char __pyx_k_RuntimeError[] = "RuntimeError"; +static const char __pyx_k_ZBuffer_python[] = "ZBuffer_python"; +static const char __pyx_k_ZBufferTri_python[] = "ZBufferTri_python"; +static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback"; +static const char __pyx_k_zbuffer_core_cython[] = "zbuffer_core_cython"; +static const char __pyx_k_zbuffer_core_cython_pyx[] = "zbuffer_core_cython.pyx"; +static const char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous"; +static const char __pyx_k_numpy_core_multiarray_failed_to[] = "numpy.core.multiarray failed to import"; +static const char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)"; +static const char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd"; +static const char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported"; +static const char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous"; +static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import"; +static const char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short."; +static PyObject *__pyx_kp_u_Format_string_allocated_too_shor; +static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2; +static PyObject *__pyx_n_s_ImportError; +static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor; +static PyObject *__pyx_n_s_RuntimeError; +static PyObject *__pyx_n_s_ValueError; +static PyObject *__pyx_n_s_ZBufferTri_python; +static PyObject *__pyx_n_s_ZBuffer_python; +static PyObject *__pyx_n_s_cline_in_traceback; +static PyObject *__pyx_n_s_height; +static PyObject *__pyx_n_s_img; +static PyObject *__pyx_n_s_import; +static PyObject *__pyx_n_s_main; +static PyObject *__pyx_n_s_nChannels; +static PyObject *__pyx_n_s_name; +static PyObject *__pyx_kp_u_ndarray_is_not_C_contiguous; +static PyObject *__pyx_kp_u_ndarray_is_not_Fortran_contiguou; +static PyObject *__pyx_n_s_np; +static PyObject *__pyx_n_s_ntri; +static PyObject *__pyx_n_s_numpy; +static PyObject *__pyx_kp_s_numpy_core_multiarray_failed_to; +static PyObject *__pyx_kp_s_numpy_core_umath_failed_to_impor; +static PyObject *__pyx_n_s_nver; +static PyObject *__pyx_n_s_range; +static PyObject *__pyx_n_s_src_img; +static PyObject *__pyx_n_s_test; +static PyObject *__pyx_n_s_texture; +static PyObject *__pyx_n_s_texture_tri; +static PyObject *__pyx_n_s_tri; +static PyObject *__pyx_n_s_tri_ind; +static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd; +static PyObject *__pyx_n_s_vertex; +static PyObject *__pyx_n_s_width; +static PyObject *__pyx_n_s_zbuffer_core_cython; +static PyObject *__pyx_kp_s_zbuffer_core_cython_pyx; +static PyObject *__pyx_pf_19zbuffer_core_cython_ZBuffer_python(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_vertex, PyArrayObject *__pyx_v_tri, PyArrayObject *__pyx_v_texture, int __pyx_v_nver, int __pyx_v_ntri, PyArrayObject *__pyx_v_src_img, int __pyx_v_width, int __pyx_v_height, int __pyx_v_nChannels, PyArrayObject *__pyx_v_img, PyArrayObject *__pyx_v_tri_ind); /* proto */ +static PyObject *__pyx_pf_19zbuffer_core_cython_2ZBufferTri_python(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_vertex, PyArrayObject *__pyx_v_tri, PyArrayObject *__pyx_v_texture_tri, int __pyx_v_nver, int __pyx_v_ntri, PyArrayObject *__pyx_v_src_img, int __pyx_v_width, int __pyx_v_height, int __pyx_v_nChannels, PyArrayObject *__pyx_v_img, PyArrayObject *__pyx_v_tri_ind); /* proto */ +static int __pyx_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */ +static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info); /* proto */ +static PyObject *__pyx_tuple_; +static PyObject *__pyx_tuple__2; +static PyObject *__pyx_tuple__3; +static PyObject *__pyx_tuple__4; +static PyObject *__pyx_tuple__5; +static PyObject *__pyx_tuple__6; +static PyObject *__pyx_tuple__7; +static PyObject *__pyx_tuple__8; +static PyObject *__pyx_tuple__10; +static PyObject *__pyx_codeobj__9; +static PyObject *__pyx_codeobj__11; +/* Late includes */ + +/* "zbuffer_core_cython.pyx":21 + * double* img, double* tri_ind) + * + * def ZBuffer_python(np.ndarray[double, ndim=2, mode = "c"] vertex not None, # <<<<<<<<<<<<<< + * np.ndarray[double, ndim=2, mode = "c"] tri not None, + * np.ndarray[double, ndim=2, mode="c"] texture not None, + */ + +/* Python wrapper */ +static PyObject *__pyx_pw_19zbuffer_core_cython_1ZBuffer_python(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/ +static PyMethodDef __pyx_mdef_19zbuffer_core_cython_1ZBuffer_python = {"ZBuffer_python", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_19zbuffer_core_cython_1ZBuffer_python, METH_VARARGS|METH_KEYWORDS, 0}; +static PyObject *__pyx_pw_19zbuffer_core_cython_1ZBuffer_python(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) { + PyArrayObject *__pyx_v_vertex = 0; + PyArrayObject *__pyx_v_tri = 0; + PyArrayObject *__pyx_v_texture = 0; + int __pyx_v_nver; + int __pyx_v_ntri; + PyArrayObject *__pyx_v_src_img = 0; + int __pyx_v_width; + int __pyx_v_height; + int __pyx_v_nChannels; + PyArrayObject *__pyx_v_img = 0; + PyArrayObject *__pyx_v_tri_ind = 0; + PyObject *__pyx_r = 0; + __Pyx_RefNannyDeclarations + __Pyx_RefNannySetupContext("ZBuffer_python (wrapper)", 0); + { + static PyObject **__pyx_pyargnames[] = {&__pyx_n_s_vertex,&__pyx_n_s_tri,&__pyx_n_s_texture,&__pyx_n_s_nver,&__pyx_n_s_ntri,&__pyx_n_s_src_img,&__pyx_n_s_width,&__pyx_n_s_height,&__pyx_n_s_nChannels,&__pyx_n_s_img,&__pyx_n_s_tri_ind,0}; + PyObject* values[11] = {0,0,0,0,0,0,0,0,0,0,0}; + if (unlikely(__pyx_kwds)) { + Py_ssize_t kw_args; + const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args); + switch (pos_args) { + case 11: values[10] = PyTuple_GET_ITEM(__pyx_args, 10); + CYTHON_FALLTHROUGH; + case 10: values[9] = PyTuple_GET_ITEM(__pyx_args, 9); + CYTHON_FALLTHROUGH; + case 9: values[8] = PyTuple_GET_ITEM(__pyx_args, 8); + CYTHON_FALLTHROUGH; + case 8: values[7] = PyTuple_GET_ITEM(__pyx_args, 7); + CYTHON_FALLTHROUGH; + case 7: values[6] = PyTuple_GET_ITEM(__pyx_args, 6); + CYTHON_FALLTHROUGH; + case 6: values[5] = PyTuple_GET_ITEM(__pyx_args, 5); + CYTHON_FALLTHROUGH; + case 5: values[4] = PyTuple_GET_ITEM(__pyx_args, 4); + CYTHON_FALLTHROUGH; + case 4: values[3] = PyTuple_GET_ITEM(__pyx_args, 3); + CYTHON_FALLTHROUGH; + case 3: values[2] = PyTuple_GET_ITEM(__pyx_args, 2); + CYTHON_FALLTHROUGH; + case 2: values[1] = PyTuple_GET_ITEM(__pyx_args, 1); + CYTHON_FALLTHROUGH; + case 1: values[0] = PyTuple_GET_ITEM(__pyx_args, 0); + CYTHON_FALLTHROUGH; + case 0: break; + default: goto __pyx_L5_argtuple_error; + } + kw_args = PyDict_Size(__pyx_kwds); + switch (pos_args) { + case 0: + if (likely((values[0] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_vertex)) != 0)) kw_args--; + else goto __pyx_L5_argtuple_error; + CYTHON_FALLTHROUGH; + case 1: + if (likely((values[1] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_tri)) != 0)) kw_args--; + else { + __Pyx_RaiseArgtupleInvalid("ZBuffer_python", 1, 11, 11, 1); __PYX_ERR(0, 21, __pyx_L3_error) + } + CYTHON_FALLTHROUGH; + case 2: + if (likely((values[2] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_texture)) != 0)) kw_args--; + else { + __Pyx_RaiseArgtupleInvalid("ZBuffer_python", 1, 11, 11, 2); __PYX_ERR(0, 21, __pyx_L3_error) + } + CYTHON_FALLTHROUGH; + case 3: + if (likely((values[3] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_nver)) != 0)) kw_args--; + else { + __Pyx_RaiseArgtupleInvalid("ZBuffer_python", 1, 11, 11, 3); __PYX_ERR(0, 21, __pyx_L3_error) + } + CYTHON_FALLTHROUGH; + case 4: + if (likely((values[4] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_ntri)) != 0)) kw_args--; + else { + __Pyx_RaiseArgtupleInvalid("ZBuffer_python", 1, 11, 11, 4); __PYX_ERR(0, 21, __pyx_L3_error) + } + CYTHON_FALLTHROUGH; + case 5: + if (likely((values[5] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_src_img)) != 0)) kw_args--; + else { + __Pyx_RaiseArgtupleInvalid("ZBuffer_python", 1, 11, 11, 5); __PYX_ERR(0, 21, __pyx_L3_error) + } + CYTHON_FALLTHROUGH; + case 6: + if (likely((values[6] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_width)) != 0)) kw_args--; + else { + __Pyx_RaiseArgtupleInvalid("ZBuffer_python", 1, 11, 11, 6); __PYX_ERR(0, 21, __pyx_L3_error) + } + CYTHON_FALLTHROUGH; + case 7: + if (likely((values[7] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_height)) != 0)) kw_args--; + else { + __Pyx_RaiseArgtupleInvalid("ZBuffer_python", 1, 11, 11, 7); __PYX_ERR(0, 21, __pyx_L3_error) + } + CYTHON_FALLTHROUGH; + case 8: + if (likely((values[8] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_nChannels)) != 0)) kw_args--; + else { + __Pyx_RaiseArgtupleInvalid("ZBuffer_python", 1, 11, 11, 8); __PYX_ERR(0, 21, __pyx_L3_error) + } + CYTHON_FALLTHROUGH; + case 9: + if (likely((values[9] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_img)) != 0)) kw_args--; + else { + __Pyx_RaiseArgtupleInvalid("ZBuffer_python", 1, 11, 11, 9); __PYX_ERR(0, 21, __pyx_L3_error) + } + CYTHON_FALLTHROUGH; + case 10: + if (likely((values[10] = __Pyx_PyDict_GetItemStr(__pyx_kwds, __pyx_n_s_tri_ind)) != 0)) kw_args--; + else { + __Pyx_RaiseArgtupleInvalid("ZBuffer_python", 1, 11, 11, 10); __PYX_ERR(0, 21, __pyx_L3_error) + } + } + if (unlikely(kw_args > 0)) { + if (unlikely(__Pyx_ParseOptionalKeywords(__pyx_kwds, __pyx_pyargnames, 0, values, pos_args, "ZBuffer_python") < 0)) __PYX_ERR(0, 21, __pyx_L3_error) + } + } else if (PyTuple_GET_SIZE(__pyx_args) != 11) { + goto __pyx_L5_argtuple_error; + } else { + values[0] = PyTuple_GET_ITEM(__pyx_args, 0); + values[1] = PyTuple_GET_ITEM(__pyx_args, 1); + values[2] = PyTuple_GET_ITEM(__pyx_args, 2); + values[3] = PyTuple_GET_ITEM(__pyx_args, 3); + values[4] = PyTuple_GET_ITEM(__pyx_args, 4); + values[5] = PyTuple_GET_ITEM(__pyx_args, 5); + values[6] = PyTuple_GET_ITEM(__pyx_args, 6); + values[7] = PyTuple_GET_ITEM(__pyx_args, 7); + values[8] = PyTuple_GET_ITEM(__pyx_args, 8); + values[9] = PyTuple_GET_ITEM(__pyx_args, 9); + values[10] = PyTuple_GET_ITEM(__pyx_args, 10); + } + __pyx_v_vertex = ((PyArrayObject *)values[0]); + __pyx_v_tri = ((PyArrayObject *)values[1]); + __pyx_v_texture = ((PyArrayObject *)values[2]); + __pyx_v_nver = __Pyx_PyInt_As_int(values[3]); if (unlikely((__pyx_v_nver == (int)-1) && PyErr_Occurred())) __PYX_ERR(0, 24, __pyx_L3_error) + __pyx_v_ntri = __Pyx_PyInt_As_int(values[4]); if (unlikely((__pyx_v_ntri == (int)-1) && PyErr_Occurred())) __PYX_ERR(0, 24, __pyx_L3_error) + __pyx_v_src_img = ((PyArrayObject *)values[5]); + __pyx_v_width = __Pyx_PyInt_As_int(values[6]); if (unlikely((__pyx_v_width == (int)-1) && PyErr_Occurred())) __PYX_ERR(0, 26, __pyx_L3_error) + __pyx_v_height = __Pyx_PyInt_As_int(values[7]); 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__pyx_t_1 = 0; + + /* "zbuffer_core_cython.pyx":36 + * np.PyArray_DATA(img), np.PyArray_DATA(tri_ind)) + * + * def ZBufferTri_python(np.ndarray[double, ndim=2, mode = "c"] vertex not None, # <<<<<<<<<<<<<< + * np.ndarray[double, ndim=2, mode = "c"] tri not None, + * np.ndarray[double, ndim=2, mode="c"] texture_tri not None, + */ + __pyx_t_1 = PyCFunction_NewEx(&__pyx_mdef_19zbuffer_core_cython_3ZBufferTri_python, NULL, __pyx_n_s_zbuffer_core_cython); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 36, __pyx_L1_error) + __Pyx_GOTREF(__pyx_t_1); + if (PyDict_SetItem(__pyx_d, __pyx_n_s_ZBufferTri_python, __pyx_t_1) < 0) __PYX_ERR(0, 36, __pyx_L1_error) + __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0; + + /* "zbuffer_core_cython.pyx":1 + * import numpy as np # <<<<<<<<<<<<<< + * cimport numpy as np + * from libcpp.string cimport string + */ + __pyx_t_1 = __Pyx_PyDict_NewPresized(0); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 1, __pyx_L1_error) + __Pyx_GOTREF(__pyx_t_1); + if (PyDict_SetItem(__pyx_d, __pyx_n_s_test, __pyx_t_1) < 0) __PYX_ERR(0, 1, __pyx_L1_error) + __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0; + + /* "../../../../../../../anaconda3/lib/python3.6/site-packages/Cython/Includes/numpy/__init__.pxd":1046 + * raise ImportError("numpy.core.umath failed to import") + * + * cdef inline int import_ufunc() except -1: # <<<<<<<<<<<<<< + * try: + * _import_umath() + */ + + /*--- Wrapped vars code ---*/ + + goto __pyx_L0; + __pyx_L1_error:; + __Pyx_XDECREF(__pyx_t_1); + if (__pyx_m) { + if (__pyx_d) { + __Pyx_AddTraceback("init zbuffer_core_cython", __pyx_clineno, __pyx_lineno, __pyx_filename); + } + Py_CLEAR(__pyx_m); + } else if (!PyErr_Occurred()) { + PyErr_SetString(PyExc_ImportError, "init zbuffer_core_cython"); + } + __pyx_L0:; + __Pyx_RefNannyFinishContext(); + #if CYTHON_PEP489_MULTI_PHASE_INIT + return (__pyx_m != NULL) ? 0 : -1; + #elif PY_MAJOR_VERSION >= 3 + return __pyx_m; + #else + return; + #endif +} + +/* --- Runtime support code --- */ +/* Refnanny */ +#if CYTHON_REFNANNY +static __Pyx_RefNannyAPIStruct *__Pyx_RefNannyImportAPI(const char *modname) { + PyObject *m = NULL, *p = NULL; 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"" : "s", num_found); +} + +/* RaiseDoubleKeywords */ +static void __Pyx_RaiseDoubleKeywordsError( + const char* func_name, + PyObject* kw_name) +{ + PyErr_Format(PyExc_TypeError, + #if PY_MAJOR_VERSION >= 3 + "%s() got multiple values for keyword argument '%U'", func_name, kw_name); + #else + "%s() got multiple values for keyword argument '%s'", func_name, + PyString_AsString(kw_name)); + #endif +} + +/* ParseKeywords */ +static int __Pyx_ParseOptionalKeywords( + PyObject *kwds, + PyObject **argnames[], + PyObject *kwds2, + PyObject *values[], + Py_ssize_t num_pos_args, + const char* function_name) +{ + PyObject *key = 0, *value = 0; + Py_ssize_t pos = 0; + PyObject*** name; + PyObject*** first_kw_arg = argnames + num_pos_args; + while (PyDict_Next(kwds, &pos, &key, &value)) { + name = first_kw_arg; + while (*name && (**name != key)) name++; + if (*name) { + values[name-argnames] = value; + continue; + } + name = first_kw_arg; + #if PY_MAJOR_VERSION < 3 + if (likely(PyString_CheckExact(key)) || likely(PyString_Check(key))) { + while (*name) { + if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key)) + && _PyString_Eq(**name, key)) { + values[name-argnames] = value; + break; + } + name++; + } + if (*name) continue; + else { + PyObject*** argname = argnames; + while (argname != first_kw_arg) { + if ((**argname == key) || ( + (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key)) + && _PyString_Eq(**argname, key))) { + goto arg_passed_twice; + } + argname++; + } + } + } else + #endif + if (likely(PyUnicode_Check(key))) { + while (*name) { + int cmp = (**name == key) ? 0 : + #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3 + (PyUnicode_GET_SIZE(**name) != PyUnicode_GET_SIZE(key)) ? 1 : + #endif + PyUnicode_Compare(**name, key); + if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad; + if (cmp == 0) { + values[name-argnames] = value; + break; + } + name++; + } + if (*name) continue; + else { + PyObject*** argname = argnames; + while (argname != first_kw_arg) { + int cmp = (**argname == key) ? 0 : + #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3 + (PyUnicode_GET_SIZE(**argname) != PyUnicode_GET_SIZE(key)) ? 1 : + #endif + PyUnicode_Compare(**argname, key); + if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad; + if (cmp == 0) goto arg_passed_twice; + argname++; + } + } + } else + goto invalid_keyword_type; + if (kwds2) { + if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad; + } else { + goto invalid_keyword; + } + } + return 0; +arg_passed_twice: + __Pyx_RaiseDoubleKeywordsError(function_name, key); + goto bad; +invalid_keyword_type: + PyErr_Format(PyExc_TypeError, + "%.200s() keywords must be strings", function_name); + goto bad; +invalid_keyword: + PyErr_Format(PyExc_TypeError, + #if PY_MAJOR_VERSION < 3 + "%.200s() got an unexpected keyword argument '%.200s'", + function_name, PyString_AsString(key)); + #else + "%s() got an unexpected keyword argument '%U'", + function_name, key); + #endif +bad: + return -1; +} + +/* ArgTypeTest */ +static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact) +{ + if (unlikely(!type)) { + PyErr_SetString(PyExc_SystemError, "Missing type object"); + return 0; + } + else if (exact) { + #if PY_MAJOR_VERSION == 2 + if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1; + #endif + } + else { + if (likely(__Pyx_TypeCheck(obj, type))) return 1; + } + PyErr_Format(PyExc_TypeError, + "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)", + name, type->tp_name, Py_TYPE(obj)->tp_name); + return 0; +} + +/* IsLittleEndian */ +static CYTHON_INLINE int __Pyx_Is_Little_Endian(void) +{ + union { + uint32_t u32; + uint8_t u8[4]; + } S; + S.u32 = 0x01020304; + return S.u8[0] == 4; +} + +/* BufferFormatCheck */ +static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx, + __Pyx_BufFmt_StackElem* stack, + __Pyx_TypeInfo* type) { + stack[0].field = &ctx->root; + stack[0].parent_offset = 0; + ctx->root.type = type; + ctx->root.name = "buffer dtype"; + ctx->root.offset = 0; + ctx->head = stack; + ctx->head->field = &ctx->root; + ctx->fmt_offset = 0; + ctx->head->parent_offset = 0; + ctx->new_packmode = '@'; + ctx->enc_packmode = '@'; + ctx->new_count = 1; + ctx->enc_count = 0; + ctx->enc_type = 0; + ctx->is_complex = 0; + ctx->is_valid_array = 0; + ctx->struct_alignment = 0; + while (type->typegroup == 'S') { + ++ctx->head; + ctx->head->field = type->fields; + ctx->head->parent_offset = 0; + type = type->fields->type; + } +} +static int __Pyx_BufFmt_ParseNumber(const char** ts) { + int count; + const char* t = *ts; + if (*t < '0' || *t > '9') { + return -1; + } else { + count = *t++ - '0'; + while (*t >= '0' && *t <= '9') { + count *= 10; + count += *t++ - '0'; + } + } + *ts = t; + return count; +} +static int __Pyx_BufFmt_ExpectNumber(const char **ts) { + int number = __Pyx_BufFmt_ParseNumber(ts); + if (number == -1) + PyErr_Format(PyExc_ValueError,\ + "Does not understand character buffer dtype format string ('%c')", **ts); + return number; +} +static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) { + PyErr_Format(PyExc_ValueError, + "Unexpected format string character: '%c'", ch); +} +static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) { + switch (ch) { + case 'c': return "'char'"; + case 'b': return "'signed char'"; + case 'B': return "'unsigned char'"; + case 'h': return "'short'"; + case 'H': return "'unsigned short'"; + case 'i': return "'int'"; + case 'I': return "'unsigned int'"; + case 'l': return "'long'"; + case 'L': return "'unsigned long'"; + case 'q': return "'long long'"; + case 'Q': return "'unsigned long long'"; + case 'f': return (is_complex ? "'complex float'" : "'float'"); + case 'd': return (is_complex ? "'complex double'" : "'double'"); + case 'g': return (is_complex ? "'complex long double'" : "'long double'"); + case 'T': return "a struct"; + case 'O': return "Python object"; + case 'P': return "a pointer"; + case 's': case 'p': return "a string"; + case 0: return "end"; + default: return "unparseable format string"; + } +} +static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) { + switch (ch) { + case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1; + case 'h': case 'H': return 2; + case 'i': case 'I': case 'l': case 'L': return 4; + case 'q': case 'Q': return 8; + case 'f': return (is_complex ? 8 : 4); + case 'd': return (is_complex ? 16 : 8); + case 'g': { + PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g').."); + return 0; + } + case 'O': case 'P': return sizeof(void*); + default: + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } +} +static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) { + switch (ch) { + case 'c': case 'b': case 'B': case 's': case 'p': return 1; + case 'h': case 'H': return sizeof(short); + case 'i': case 'I': return sizeof(int); + case 'l': case 'L': return sizeof(long); + #ifdef HAVE_LONG_LONG + case 'q': case 'Q': return sizeof(PY_LONG_LONG); + #endif + case 'f': return sizeof(float) * (is_complex ? 2 : 1); + case 'd': return sizeof(double) * (is_complex ? 2 : 1); + case 'g': return sizeof(long double) * (is_complex ? 2 : 1); + case 'O': case 'P': return sizeof(void*); + default: { + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } + } +} +typedef struct { char c; short x; } __Pyx_st_short; +typedef struct { char c; int x; } __Pyx_st_int; +typedef struct { char c; long x; } __Pyx_st_long; +typedef struct { char c; float x; } __Pyx_st_float; +typedef struct { char c; double x; } __Pyx_st_double; +typedef struct { char c; long double x; } __Pyx_st_longdouble; +typedef struct { char c; void *x; } __Pyx_st_void_p; +#ifdef HAVE_LONG_LONG +typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong; +#endif +static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) { + switch (ch) { + case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1; + case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short); + case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int); + case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long); +#ifdef HAVE_LONG_LONG + case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG); +#endif + case 'f': return sizeof(__Pyx_st_float) - sizeof(float); + case 'd': return sizeof(__Pyx_st_double) - sizeof(double); + case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double); + case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*); + default: + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } +} +/* These are for computing the padding at the end of the struct to align + on the first member of the struct. This will probably the same as above, + but we don't have any guarantees. + */ +typedef struct { short x; char c; } __Pyx_pad_short; +typedef struct { int x; char c; } __Pyx_pad_int; +typedef struct { long x; char c; } __Pyx_pad_long; +typedef struct { float x; char c; } __Pyx_pad_float; +typedef struct { double x; char c; } __Pyx_pad_double; +typedef struct { long double x; char c; } __Pyx_pad_longdouble; +typedef struct { void *x; char c; } __Pyx_pad_void_p; +#ifdef HAVE_LONG_LONG +typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong; +#endif +static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) { + switch (ch) { + case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1; + case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short); + case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int); + case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long); +#ifdef HAVE_LONG_LONG + case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG); +#endif + case 'f': return sizeof(__Pyx_pad_float) - sizeof(float); + case 'd': return sizeof(__Pyx_pad_double) - sizeof(double); + case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double); + case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*); + default: + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } +} +static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) { + switch (ch) { + case 'c': + return 'H'; + case 'b': case 'h': case 'i': + case 'l': case 'q': case 's': case 'p': + return 'I'; + case 'B': case 'H': case 'I': case 'L': case 'Q': + return 'U'; + case 'f': case 'd': case 'g': + return (is_complex ? 'C' : 'R'); + case 'O': + return 'O'; + case 'P': + return 'P'; + default: { + __Pyx_BufFmt_RaiseUnexpectedChar(ch); + return 0; + } + } +} +static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) { + if (ctx->head == NULL || ctx->head->field == &ctx->root) { + const char* expected; + const char* quote; + if (ctx->head == NULL) { + expected = "end"; + quote = ""; + } else { + expected = ctx->head->field->type->name; + quote = "'"; + } + PyErr_Format(PyExc_ValueError, + "Buffer dtype mismatch, expected %s%s%s but got %s", + quote, expected, quote, + __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex)); + } else { + __Pyx_StructField* field = ctx->head->field; + __Pyx_StructField* parent = (ctx->head - 1)->field; + PyErr_Format(PyExc_ValueError, + "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'", + field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex), + parent->type->name, field->name); + } +} +static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) { + char group; + size_t size, offset, arraysize = 1; + if (ctx->enc_type == 0) return 0; + if (ctx->head->field->type->arraysize[0]) { + int i, ndim = 0; + if (ctx->enc_type == 's' || ctx->enc_type == 'p') { + ctx->is_valid_array = ctx->head->field->type->ndim == 1; + ndim = 1; + if (ctx->enc_count != ctx->head->field->type->arraysize[0]) { + PyErr_Format(PyExc_ValueError, + "Expected a dimension of size %zu, got %zu", + ctx->head->field->type->arraysize[0], ctx->enc_count); + return -1; + } + } + if (!ctx->is_valid_array) { + PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d", + ctx->head->field->type->ndim, ndim); + return -1; + } + for (i = 0; i < ctx->head->field->type->ndim; i++) { + arraysize *= ctx->head->field->type->arraysize[i]; + } + ctx->is_valid_array = 0; + ctx->enc_count = 1; + } + group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex); + do { + __Pyx_StructField* field = ctx->head->field; + __Pyx_TypeInfo* type = field->type; + if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') { + size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex); + } else { + size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex); + } + if (ctx->enc_packmode == '@') { + size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex); + size_t align_mod_offset; + if (align_at == 0) return -1; + align_mod_offset = ctx->fmt_offset % align_at; + if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset; + if (ctx->struct_alignment == 0) + ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type, + ctx->is_complex); + } + if (type->size != size || type->typegroup != group) { + if (type->typegroup == 'C' && type->fields != NULL) { + size_t parent_offset = ctx->head->parent_offset + field->offset; + ++ctx->head; + ctx->head->field = type->fields; + ctx->head->parent_offset = parent_offset; + continue; + } + if ((type->typegroup == 'H' || group == 'H') && type->size == size) { + } else { + __Pyx_BufFmt_RaiseExpected(ctx); + return -1; + } + } + offset = ctx->head->parent_offset + field->offset; + if (ctx->fmt_offset != offset) { + PyErr_Format(PyExc_ValueError, + "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected", + (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset); + return -1; + } + ctx->fmt_offset += size; + if (arraysize) + ctx->fmt_offset += (arraysize - 1) * size; + --ctx->enc_count; + while (1) { + if (field == &ctx->root) { + ctx->head = NULL; + if (ctx->enc_count != 0) { + __Pyx_BufFmt_RaiseExpected(ctx); + return -1; + } + break; + } + ctx->head->field = ++field; + if (field->type == NULL) { + --ctx->head; + field = ctx->head->field; + continue; + } else if (field->type->typegroup == 'S') { + size_t parent_offset = ctx->head->parent_offset + field->offset; + if (field->type->fields->type == NULL) continue; + field = field->type->fields; + ++ctx->head; + ctx->head->field = field; + ctx->head->parent_offset = parent_offset; + break; + } else { + break; + } + } + } while (ctx->enc_count); + ctx->enc_type = 0; + ctx->is_complex = 0; + return 0; +} +static PyObject * +__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp) +{ + const char *ts = *tsp; + int i = 0, number; + int ndim = ctx->head->field->type->ndim; +; + ++ts; + if (ctx->new_count != 1) { + PyErr_SetString(PyExc_ValueError, + "Cannot handle repeated arrays in format string"); + return NULL; + } + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + while (*ts && *ts != ')') { + switch (*ts) { + case ' ': case '\f': case '\r': case '\n': case '\t': case '\v': continue; + default: break; + } + number = __Pyx_BufFmt_ExpectNumber(&ts); + if (number == -1) return NULL; + if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i]) + return PyErr_Format(PyExc_ValueError, + "Expected a dimension of size %zu, got %d", + ctx->head->field->type->arraysize[i], number); + if (*ts != ',' && *ts != ')') + return PyErr_Format(PyExc_ValueError, + "Expected a comma in format string, got '%c'", *ts); + if (*ts == ',') ts++; + i++; + } + if (i != ndim) + return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d", + ctx->head->field->type->ndim, i); + if (!*ts) { + PyErr_SetString(PyExc_ValueError, + "Unexpected end of format string, expected ')'"); + return NULL; + } + ctx->is_valid_array = 1; + ctx->new_count = 1; + *tsp = ++ts; + return Py_None; +} +static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) { + int got_Z = 0; + while (1) { + switch(*ts) { + case 0: + if (ctx->enc_type != 0 && ctx->head == NULL) { + __Pyx_BufFmt_RaiseExpected(ctx); + return NULL; + } + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + if (ctx->head != NULL) { + __Pyx_BufFmt_RaiseExpected(ctx); + return NULL; + } + return ts; + case ' ': + case '\r': + case '\n': + ++ts; + break; + case '<': + if (!__Pyx_Is_Little_Endian()) { + PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler"); + return NULL; + } + ctx->new_packmode = '='; + ++ts; + break; + case '>': + case '!': + if (__Pyx_Is_Little_Endian()) { + PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler"); + return NULL; + } + ctx->new_packmode = '='; + ++ts; + break; + case '=': + case '@': + case '^': + ctx->new_packmode = *ts++; + break; + case 'T': + { + const char* ts_after_sub; + size_t i, struct_count = ctx->new_count; + size_t struct_alignment = ctx->struct_alignment; + ctx->new_count = 1; + ++ts; + if (*ts != '{') { + PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'"); + return NULL; + } + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + ctx->enc_type = 0; + ctx->enc_count = 0; + ctx->struct_alignment = 0; + ++ts; + ts_after_sub = ts; + for (i = 0; i != struct_count; ++i) { + ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts); + if (!ts_after_sub) return NULL; + } + ts = ts_after_sub; + if (struct_alignment) ctx->struct_alignment = struct_alignment; + } + break; + case '}': + { + size_t alignment = ctx->struct_alignment; + ++ts; + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + ctx->enc_type = 0; + if (alignment && ctx->fmt_offset % alignment) { + ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment); + } + } + return ts; + case 'x': + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + ctx->fmt_offset += ctx->new_count; + ctx->new_count = 1; + ctx->enc_count = 0; + ctx->enc_type = 0; + ctx->enc_packmode = ctx->new_packmode; + ++ts; + break; + case 'Z': + got_Z = 1; + ++ts; + if (*ts != 'f' && *ts != 'd' && *ts != 'g') { + __Pyx_BufFmt_RaiseUnexpectedChar('Z'); + return NULL; + } + CYTHON_FALLTHROUGH; + case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I': + case 'l': case 'L': case 'q': case 'Q': + case 'f': case 'd': case 'g': + case 'O': case 'p': + if (ctx->enc_type == *ts && got_Z == ctx->is_complex && + ctx->enc_packmode == ctx->new_packmode) { + ctx->enc_count += ctx->new_count; + ctx->new_count = 1; + got_Z = 0; + ++ts; + break; + } + CYTHON_FALLTHROUGH; + case 's': + if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL; + ctx->enc_count = ctx->new_count; + ctx->enc_packmode = ctx->new_packmode; + ctx->enc_type = *ts; + ctx->is_complex = got_Z; + ++ts; + ctx->new_count = 1; + got_Z = 0; + break; + case ':': + ++ts; + while(*ts != ':') ++ts; + ++ts; + break; + case '(': + if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL; + break; + default: + { + int number = __Pyx_BufFmt_ExpectNumber(&ts); + if (number == -1) return NULL; + ctx->new_count = (size_t)number; + } + } + } +} + +/* BufferGetAndValidate */ + static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) { + if (unlikely(info->buf == NULL)) return; + if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL; + __Pyx_ReleaseBuffer(info); +} +static void __Pyx_ZeroBuffer(Py_buffer* buf) { + buf->buf = NULL; + buf->obj = NULL; + buf->strides = __Pyx_zeros; + buf->shape = __Pyx_zeros; + buf->suboffsets = __Pyx_minusones; +} +static int __Pyx__GetBufferAndValidate( + Py_buffer* buf, PyObject* obj, __Pyx_TypeInfo* dtype, int flags, + int nd, int cast, __Pyx_BufFmt_StackElem* stack) +{ + buf->buf = NULL; + if (unlikely(__Pyx_GetBuffer(obj, buf, flags) == -1)) { + __Pyx_ZeroBuffer(buf); + return -1; + } + if (unlikely(buf->ndim != nd)) { + PyErr_Format(PyExc_ValueError, + "Buffer has wrong number of dimensions (expected %d, got %d)", + nd, buf->ndim); + goto fail; + } + if (!cast) { + __Pyx_BufFmt_Context ctx; + __Pyx_BufFmt_Init(&ctx, stack, dtype); + if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail; + } + if (unlikely((size_t)buf->itemsize != dtype->size)) { + PyErr_Format(PyExc_ValueError, + "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)", + buf->itemsize, (buf->itemsize > 1) ? "s" : "", + dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : ""); + goto fail; + } + if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones; + return 0; +fail:; + __Pyx_SafeReleaseBuffer(buf); + return -1; +} + +/* PyErrFetchRestore */ + #if CYTHON_FAST_THREAD_STATE +static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) { + PyObject *tmp_type, *tmp_value, *tmp_tb; + tmp_type = tstate->curexc_type; + tmp_value = tstate->curexc_value; + tmp_tb = tstate->curexc_traceback; + tstate->curexc_type = type; + tstate->curexc_value = value; + tstate->curexc_traceback = tb; + Py_XDECREF(tmp_type); + Py_XDECREF(tmp_value); + Py_XDECREF(tmp_tb); +} +static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) { + *type = tstate->curexc_type; + *value = tstate->curexc_value; + *tb = tstate->curexc_traceback; + tstate->curexc_type = 0; + tstate->curexc_value = 0; + tstate->curexc_traceback = 0; +} +#endif + +/* PyObjectGetAttrStr */ + #if CYTHON_USE_TYPE_SLOTS +static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) { + PyTypeObject* tp = Py_TYPE(obj); + if (likely(tp->tp_getattro)) + return tp->tp_getattro(obj, attr_name); +#if PY_MAJOR_VERSION < 3 + if (likely(tp->tp_getattr)) + return tp->tp_getattr(obj, PyString_AS_STRING(attr_name)); +#endif + return PyObject_GetAttr(obj, attr_name); +} +#endif + +/* GetBuiltinName */ + static PyObject *__Pyx_GetBuiltinName(PyObject *name) { + PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name); + if (unlikely(!result)) { + PyErr_Format(PyExc_NameError, +#if PY_MAJOR_VERSION >= 3 + "name '%U' is not defined", name); +#else + "name '%.200s' is not defined", PyString_AS_STRING(name)); +#endif + } + return result; +} + +/* PyObjectCall */ + #if CYTHON_COMPILING_IN_CPYTHON +static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) { + PyObject *result; + ternaryfunc call = func->ob_type->tp_call; + if (unlikely(!call)) + return PyObject_Call(func, arg, kw); + if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object"))) + return NULL; + result = (*call)(func, arg, kw); + Py_LeaveRecursiveCall(); + if (unlikely(!result) && unlikely(!PyErr_Occurred())) { + PyErr_SetString( + PyExc_SystemError, + "NULL result without error in PyObject_Call"); + } + return result; +} +#endif + +/* RaiseException */ + #if PY_MAJOR_VERSION < 3 +static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, + CYTHON_UNUSED PyObject *cause) { + __Pyx_PyThreadState_declare + Py_XINCREF(type); + if (!value || value == Py_None) + value = NULL; + else + Py_INCREF(value); + if (!tb || tb == Py_None) + tb = NULL; + else { + Py_INCREF(tb); + if (!PyTraceBack_Check(tb)) { + PyErr_SetString(PyExc_TypeError, + "raise: arg 3 must be a traceback or None"); + goto raise_error; + } + } + if (PyType_Check(type)) { +#if CYTHON_COMPILING_IN_PYPY + if (!value) { + Py_INCREF(Py_None); + value = Py_None; + } +#endif + PyErr_NormalizeException(&type, &value, &tb); + } else { + if (value) { + PyErr_SetString(PyExc_TypeError, + "instance exception may not have a separate value"); + goto raise_error; + } + value = type; + type = (PyObject*) Py_TYPE(type); + Py_INCREF(type); + if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) { + PyErr_SetString(PyExc_TypeError, + "raise: exception class must be a subclass of BaseException"); + goto raise_error; + } + } + __Pyx_PyThreadState_assign + __Pyx_ErrRestore(type, value, tb); + return; +raise_error: + Py_XDECREF(value); + Py_XDECREF(type); + Py_XDECREF(tb); + return; +} +#else +static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) { + PyObject* owned_instance = NULL; + if (tb == Py_None) { + tb = 0; + } else if (tb && !PyTraceBack_Check(tb)) { + PyErr_SetString(PyExc_TypeError, + "raise: arg 3 must be a traceback or None"); + goto bad; + } + if (value == Py_None) + value = 0; + if (PyExceptionInstance_Check(type)) { + if (value) { + PyErr_SetString(PyExc_TypeError, + "instance exception may not have a separate value"); + goto bad; + } + value = type; + type = (PyObject*) Py_TYPE(value); + } else if (PyExceptionClass_Check(type)) { + PyObject *instance_class = NULL; + if (value && PyExceptionInstance_Check(value)) { + instance_class = (PyObject*) Py_TYPE(value); + if (instance_class != type) { + int is_subclass = PyObject_IsSubclass(instance_class, type); + if (!is_subclass) { + instance_class = NULL; + } else if (unlikely(is_subclass == -1)) { + goto bad; + } else { + type = instance_class; + } + } + } + if (!instance_class) { + PyObject *args; + if (!value) + args = PyTuple_New(0); + else if (PyTuple_Check(value)) { + Py_INCREF(value); + args = value; + } else + args = PyTuple_Pack(1, value); + if (!args) + goto bad; + owned_instance = PyObject_Call(type, args, NULL); + Py_DECREF(args); + if (!owned_instance) + goto bad; + value = owned_instance; + if (!PyExceptionInstance_Check(value)) { + PyErr_Format(PyExc_TypeError, + "calling %R should have returned an instance of " + "BaseException, not %R", + type, Py_TYPE(value)); + goto bad; + } + } + } else { + PyErr_SetString(PyExc_TypeError, + "raise: exception class must be a subclass of BaseException"); + goto bad; + } + if (cause) { + PyObject *fixed_cause; + if (cause == Py_None) { + fixed_cause = NULL; + } else if (PyExceptionClass_Check(cause)) { + fixed_cause = PyObject_CallObject(cause, NULL); + if (fixed_cause == NULL) + goto bad; + } else if (PyExceptionInstance_Check(cause)) { + fixed_cause = cause; + Py_INCREF(fixed_cause); + } else { + PyErr_SetString(PyExc_TypeError, + "exception causes must derive from " + "BaseException"); + goto bad; + } + PyException_SetCause(value, fixed_cause); + } + PyErr_SetObject(type, value); + if (tb) { +#if CYTHON_COMPILING_IN_PYPY + PyObject *tmp_type, *tmp_value, *tmp_tb; + PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb); + Py_INCREF(tb); + PyErr_Restore(tmp_type, tmp_value, tb); + Py_XDECREF(tmp_tb); +#else + PyThreadState *tstate = __Pyx_PyThreadState_Current; + PyObject* tmp_tb = tstate->curexc_traceback; + if (tb != tmp_tb) { + Py_INCREF(tb); + tstate->curexc_traceback = tb; + Py_XDECREF(tmp_tb); + } +#endif + } +bad: + Py_XDECREF(owned_instance); + return; +} +#endif + +/* PyCFunctionFastCall */ + #if CYTHON_FAST_PYCCALL +static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) { + PyCFunctionObject *func = (PyCFunctionObject*)func_obj; + PyCFunction meth = PyCFunction_GET_FUNCTION(func); + PyObject *self = PyCFunction_GET_SELF(func); + int flags = PyCFunction_GET_FLAGS(func); + assert(PyCFunction_Check(func)); + assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS))); + assert(nargs >= 0); + assert(nargs == 0 || args != NULL); + /* _PyCFunction_FastCallDict() must not be called with an exception set, + because it may clear it (directly or indirectly) and so the + caller loses its exception */ + assert(!PyErr_Occurred()); + if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) { + return (*((__Pyx_PyCFunctionFastWithKeywords)(void*)meth)) (self, args, nargs, NULL); + } else { + return (*((__Pyx_PyCFunctionFast)(void*)meth)) (self, args, nargs); + } +} +#endif + +/* PyFunctionFastCall */ + #if CYTHON_FAST_PYCALL +static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na, + PyObject *globals) { + PyFrameObject *f; + PyThreadState *tstate = __Pyx_PyThreadState_Current; + PyObject **fastlocals; + Py_ssize_t i; + PyObject *result; + assert(globals != NULL); + /* XXX Perhaps we should create a specialized + PyFrame_New() that doesn't take locals, but does + take builtins without sanity checking them. + */ + assert(tstate != NULL); + f = PyFrame_New(tstate, co, globals, NULL); + if (f == NULL) { + return NULL; + } + fastlocals = __Pyx_PyFrame_GetLocalsplus(f); + for (i = 0; i < na; i++) { + Py_INCREF(*args); + fastlocals[i] = *args++; + } + result = PyEval_EvalFrameEx(f,0); + ++tstate->recursion_depth; + Py_DECREF(f); + --tstate->recursion_depth; + return result; +} +#if 1 || PY_VERSION_HEX < 0x030600B1 +static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, int nargs, PyObject *kwargs) { + PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func); + PyObject *globals = PyFunction_GET_GLOBALS(func); + PyObject *argdefs = PyFunction_GET_DEFAULTS(func); + PyObject *closure; +#if PY_MAJOR_VERSION >= 3 + PyObject *kwdefs; +#endif + PyObject *kwtuple, **k; + PyObject **d; + Py_ssize_t nd; + Py_ssize_t nk; + PyObject *result; + assert(kwargs == NULL || PyDict_Check(kwargs)); + nk = kwargs ? PyDict_Size(kwargs) : 0; + if (Py_EnterRecursiveCall((char*)" while calling a Python object")) { + return NULL; + } + if ( +#if PY_MAJOR_VERSION >= 3 + co->co_kwonlyargcount == 0 && +#endif + likely(kwargs == NULL || nk == 0) && + co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) { + if (argdefs == NULL && co->co_argcount == nargs) { + result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals); + goto done; + } + else if (nargs == 0 && argdefs != NULL + && co->co_argcount == Py_SIZE(argdefs)) { + /* function called with no arguments, but all parameters have + a default value: use default values as arguments .*/ + args = &PyTuple_GET_ITEM(argdefs, 0); + result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals); + goto done; + } + } + if (kwargs != NULL) { + Py_ssize_t pos, i; + kwtuple = PyTuple_New(2 * nk); + if (kwtuple == NULL) { + result = NULL; + goto done; + } + k = &PyTuple_GET_ITEM(kwtuple, 0); + pos = i = 0; + while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) { + Py_INCREF(k[i]); + Py_INCREF(k[i+1]); + i += 2; + } + nk = i / 2; + } + else { + kwtuple = NULL; + k = NULL; + } + closure = PyFunction_GET_CLOSURE(func); +#if PY_MAJOR_VERSION >= 3 + kwdefs = PyFunction_GET_KW_DEFAULTS(func); +#endif + if (argdefs != NULL) { + d = &PyTuple_GET_ITEM(argdefs, 0); + nd = Py_SIZE(argdefs); + } + else { + d = NULL; + nd = 0; + } +#if PY_MAJOR_VERSION >= 3 + result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL, + args, nargs, + k, (int)nk, + d, (int)nd, kwdefs, closure); +#else + result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL, + args, nargs, + k, (int)nk, + d, (int)nd, closure); +#endif + Py_XDECREF(kwtuple); +done: + Py_LeaveRecursiveCall(); + return result; +} +#endif +#endif + +/* PyObjectCallMethO */ + #if CYTHON_COMPILING_IN_CPYTHON +static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) { + PyObject *self, *result; + PyCFunction cfunc; + cfunc = PyCFunction_GET_FUNCTION(func); + self = PyCFunction_GET_SELF(func); + if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object"))) + return NULL; + result = cfunc(self, arg); + Py_LeaveRecursiveCall(); + if (unlikely(!result) && unlikely(!PyErr_Occurred())) { + PyErr_SetString( + PyExc_SystemError, + "NULL result without error in PyObject_Call"); + } + return result; +} +#endif + +/* PyObjectCallOneArg */ + #if CYTHON_COMPILING_IN_CPYTHON +static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) { + PyObject *result; + PyObject *args = PyTuple_New(1); + if (unlikely(!args)) return NULL; + Py_INCREF(arg); + PyTuple_SET_ITEM(args, 0, arg); + result = __Pyx_PyObject_Call(func, args, NULL); + Py_DECREF(args); + return result; +} +static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) { +#if CYTHON_FAST_PYCALL + if (PyFunction_Check(func)) { + return __Pyx_PyFunction_FastCall(func, &arg, 1); + } +#endif + if (likely(PyCFunction_Check(func))) { + if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) { + return __Pyx_PyObject_CallMethO(func, arg); +#if CYTHON_FAST_PYCCALL + } else if (PyCFunction_GET_FLAGS(func) & METH_FASTCALL) { + return __Pyx_PyCFunction_FastCall(func, &arg, 1); +#endif + } + } + return __Pyx__PyObject_CallOneArg(func, arg); +} +#else +static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) { + PyObject *result; + PyObject *args = PyTuple_Pack(1, arg); + if (unlikely(!args)) return NULL; + result = __Pyx_PyObject_Call(func, args, NULL); + Py_DECREF(args); + return result; +} +#endif + +/* DictGetItem */ + #if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY +static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) { + PyObject *value; + value = PyDict_GetItemWithError(d, key); + if (unlikely(!value)) { + if (!PyErr_Occurred()) { + if (unlikely(PyTuple_Check(key))) { + PyObject* args = PyTuple_Pack(1, key); + if (likely(args)) { + PyErr_SetObject(PyExc_KeyError, args); + Py_DECREF(args); + } + } else { + PyErr_SetObject(PyExc_KeyError, key); + } + } + return NULL; + } + Py_INCREF(value); + return value; +} +#endif + +/* RaiseTooManyValuesToUnpack */ + static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) { + PyErr_Format(PyExc_ValueError, + "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected); +} + +/* RaiseNeedMoreValuesToUnpack */ + static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) { + PyErr_Format(PyExc_ValueError, + "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack", + index, (index == 1) ? "" : "s"); +} + +/* RaiseNoneIterError */ + static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) { + PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable"); +} + +/* ExtTypeTest */ + static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) { + if (unlikely(!type)) { + PyErr_SetString(PyExc_SystemError, "Missing type object"); + return 0; + } + if (likely(__Pyx_TypeCheck(obj, type))) + return 1; + PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s", + Py_TYPE(obj)->tp_name, type->tp_name); + return 0; +} + +/* GetTopmostException */ + #if CYTHON_USE_EXC_INFO_STACK +static _PyErr_StackItem * +__Pyx_PyErr_GetTopmostException(PyThreadState *tstate) +{ + _PyErr_StackItem *exc_info = tstate->exc_info; + while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) && + exc_info->previous_item != NULL) + { + exc_info = exc_info->previous_item; + } + return exc_info; +} +#endif + +/* SaveResetException */ + #if CYTHON_FAST_THREAD_STATE +static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) { + #if CYTHON_USE_EXC_INFO_STACK + _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate); + *type = exc_info->exc_type; + *value = exc_info->exc_value; + *tb = exc_info->exc_traceback; + #else + *type = tstate->exc_type; + *value = tstate->exc_value; + *tb = tstate->exc_traceback; + #endif + Py_XINCREF(*type); + Py_XINCREF(*value); + Py_XINCREF(*tb); +} +static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) { + PyObject *tmp_type, *tmp_value, *tmp_tb; + #if CYTHON_USE_EXC_INFO_STACK + _PyErr_StackItem *exc_info = tstate->exc_info; + tmp_type = exc_info->exc_type; + tmp_value = exc_info->exc_value; + tmp_tb = exc_info->exc_traceback; + exc_info->exc_type = type; + exc_info->exc_value = value; + exc_info->exc_traceback = tb; + #else + tmp_type = tstate->exc_type; + tmp_value = tstate->exc_value; + tmp_tb = tstate->exc_traceback; + tstate->exc_type = type; + tstate->exc_value = value; + tstate->exc_traceback = tb; + #endif + Py_XDECREF(tmp_type); + Py_XDECREF(tmp_value); + Py_XDECREF(tmp_tb); +} +#endif + +/* PyErrExceptionMatches */ + #if CYTHON_FAST_THREAD_STATE +static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) { + Py_ssize_t i, n; + n = PyTuple_GET_SIZE(tuple); +#if PY_MAJOR_VERSION >= 3 + for (i=0; icurexc_type; + if (exc_type == err) return 1; + if (unlikely(!exc_type)) return 0; + if (unlikely(PyTuple_Check(err))) + return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err); + return __Pyx_PyErr_GivenExceptionMatches(exc_type, err); +} +#endif + +/* GetException */ + #if CYTHON_FAST_THREAD_STATE +static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) +#else +static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb) +#endif +{ + PyObject *local_type, *local_value, *local_tb; +#if CYTHON_FAST_THREAD_STATE + PyObject *tmp_type, *tmp_value, *tmp_tb; + local_type = tstate->curexc_type; + local_value = tstate->curexc_value; + local_tb = tstate->curexc_traceback; + tstate->curexc_type = 0; + tstate->curexc_value = 0; + tstate->curexc_traceback = 0; +#else + PyErr_Fetch(&local_type, &local_value, &local_tb); +#endif + PyErr_NormalizeException(&local_type, &local_value, &local_tb); +#if CYTHON_FAST_THREAD_STATE + if (unlikely(tstate->curexc_type)) +#else + if (unlikely(PyErr_Occurred())) +#endif + goto bad; + #if PY_MAJOR_VERSION >= 3 + if (local_tb) { + if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0)) + goto bad; + } + #endif + Py_XINCREF(local_tb); + Py_XINCREF(local_type); + Py_XINCREF(local_value); + *type = local_type; + *value = local_value; + *tb = local_tb; +#if CYTHON_FAST_THREAD_STATE + #if CYTHON_USE_EXC_INFO_STACK + { + _PyErr_StackItem *exc_info = tstate->exc_info; + tmp_type = exc_info->exc_type; + tmp_value = exc_info->exc_value; + tmp_tb = exc_info->exc_traceback; + exc_info->exc_type = local_type; + exc_info->exc_value = local_value; + exc_info->exc_traceback = local_tb; + } + #else + tmp_type = tstate->exc_type; + tmp_value = tstate->exc_value; + tmp_tb = tstate->exc_traceback; + tstate->exc_type = local_type; + tstate->exc_value = local_value; + tstate->exc_traceback = local_tb; + #endif + Py_XDECREF(tmp_type); + Py_XDECREF(tmp_value); + Py_XDECREF(tmp_tb); +#else + PyErr_SetExcInfo(local_type, local_value, local_tb); +#endif + return 0; +bad: + *type = 0; + *value = 0; + *tb = 0; + Py_XDECREF(local_type); + Py_XDECREF(local_value); + Py_XDECREF(local_tb); + return -1; +} + +/* TypeImport */ + #ifndef __PYX_HAVE_RT_ImportType +#define __PYX_HAVE_RT_ImportType +static PyTypeObject *__Pyx_ImportType(PyObject *module, const char *module_name, const char *class_name, + size_t size, enum __Pyx_ImportType_CheckSize check_size) +{ + PyObject *result = 0; + char warning[200]; + Py_ssize_t basicsize; +#ifdef Py_LIMITED_API + PyObject *py_basicsize; +#endif + result = PyObject_GetAttrString(module, class_name); + if (!result) + goto bad; + if (!PyType_Check(result)) { + PyErr_Format(PyExc_TypeError, + "%.200s.%.200s is not a type object", + module_name, class_name); + goto bad; + } +#ifndef Py_LIMITED_API + basicsize = ((PyTypeObject *)result)->tp_basicsize; +#else + py_basicsize = PyObject_GetAttrString(result, "__basicsize__"); + if (!py_basicsize) + goto bad; + basicsize = PyLong_AsSsize_t(py_basicsize); + Py_DECREF(py_basicsize); + py_basicsize = 0; + if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred()) + goto bad; +#endif + if ((size_t)basicsize < size) { + PyErr_Format(PyExc_ValueError, + "%.200s.%.200s size changed, may indicate binary incompatibility. " + "Expected %zd from C header, got %zd from PyObject", + module_name, class_name, size, basicsize); + goto bad; + } + if (check_size == __Pyx_ImportType_CheckSize_Error && (size_t)basicsize != size) { + PyErr_Format(PyExc_ValueError, + "%.200s.%.200s size changed, may indicate binary incompatibility. " + "Expected %zd from C header, got %zd from PyObject", + module_name, class_name, size, basicsize); + goto bad; + } + else if (check_size == __Pyx_ImportType_CheckSize_Warn && (size_t)basicsize > size) { + PyOS_snprintf(warning, sizeof(warning), + "%s.%s size changed, may indicate binary incompatibility. " + "Expected %zd from C header, got %zd from PyObject", + module_name, class_name, size, basicsize); + if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad; + } + return (PyTypeObject *)result; +bad: + Py_XDECREF(result); + return NULL; +} +#endif + +/* Import */ + static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) { + PyObject *empty_list = 0; + PyObject *module = 0; + PyObject *global_dict = 0; + PyObject *empty_dict = 0; + PyObject *list; + #if PY_MAJOR_VERSION < 3 + PyObject *py_import; + py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import); + if (!py_import) + goto bad; + #endif + if (from_list) + list = from_list; + else { + empty_list = PyList_New(0); + if (!empty_list) + goto bad; + list = empty_list; + } + global_dict = PyModule_GetDict(__pyx_m); + if (!global_dict) + goto bad; + empty_dict = PyDict_New(); + if (!empty_dict) + goto bad; + { + #if PY_MAJOR_VERSION >= 3 + if (level == -1) { + if (strchr(__Pyx_MODULE_NAME, '.')) { + module = PyImport_ImportModuleLevelObject( + name, global_dict, empty_dict, list, 1); + if (!module) { + if (!PyErr_ExceptionMatches(PyExc_ImportError)) + goto bad; + PyErr_Clear(); + } + } + level = 0; + } + #endif + if (!module) { + #if PY_MAJOR_VERSION < 3 + PyObject *py_level = PyInt_FromLong(level); + if (!py_level) + goto bad; + module = PyObject_CallFunctionObjArgs(py_import, + name, global_dict, empty_dict, list, py_level, (PyObject *)NULL); + Py_DECREF(py_level); + #else + module = PyImport_ImportModuleLevelObject( + name, global_dict, empty_dict, list, level); + #endif + } + } +bad: + #if PY_MAJOR_VERSION < 3 + Py_XDECREF(py_import); + #endif + Py_XDECREF(empty_list); + Py_XDECREF(empty_dict); + return module; +} + +/* PyDictVersioning */ + #if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS +static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) { + PyObject *dict = Py_TYPE(obj)->tp_dict; + return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0; +} +static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) { + PyObject **dictptr = NULL; + Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset; + if (offset) { +#if CYTHON_COMPILING_IN_CPYTHON + dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj); +#else + dictptr = _PyObject_GetDictPtr(obj); +#endif + } + return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0; +} +static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) { + PyObject *dict = Py_TYPE(obj)->tp_dict; + if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict))) + return 0; + return obj_dict_version == __Pyx_get_object_dict_version(obj); +} +#endif + +/* CLineInTraceback */ + #ifndef CYTHON_CLINE_IN_TRACEBACK +static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) { + PyObject *use_cline; + PyObject *ptype, *pvalue, *ptraceback; +#if CYTHON_COMPILING_IN_CPYTHON + PyObject **cython_runtime_dict; +#endif + if (unlikely(!__pyx_cython_runtime)) { + return c_line; + } + __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback); +#if CYTHON_COMPILING_IN_CPYTHON + cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime); + if (likely(cython_runtime_dict)) { + __PYX_PY_DICT_LOOKUP_IF_MODIFIED( + use_cline, *cython_runtime_dict, + __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback)) + } else +#endif + { + PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback); + if (use_cline_obj) { + use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True; + Py_DECREF(use_cline_obj); + } else { + PyErr_Clear(); + use_cline = NULL; + } + } + if (!use_cline) { + c_line = 0; + PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False); + } + else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) { + c_line = 0; + } + __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback); + return c_line; +} +#endif + +/* CodeObjectCache */ + static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) { + int start = 0, mid = 0, end = count - 1; + if (end >= 0 && code_line > entries[end].code_line) { + return count; + } + while (start < end) { + mid = start + (end - start) / 2; + if (code_line < entries[mid].code_line) { + end = mid; + } else if (code_line > entries[mid].code_line) { + start = mid + 1; + } else { + return mid; + } + } + if (code_line <= entries[mid].code_line) { + return mid; + } else { + return mid + 1; + } +} +static PyCodeObject *__pyx_find_code_object(int code_line) { + PyCodeObject* code_object; + int pos; + if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) { + return NULL; + } + pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line); + if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) { + return NULL; + } + code_object = __pyx_code_cache.entries[pos].code_object; + Py_INCREF(code_object); + return code_object; +} +static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) { + int pos, i; + __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries; + if (unlikely(!code_line)) { + return; + } + if (unlikely(!entries)) { + entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry)); + if (likely(entries)) { + __pyx_code_cache.entries = entries; + __pyx_code_cache.max_count = 64; + __pyx_code_cache.count = 1; + entries[0].code_line = code_line; + entries[0].code_object = code_object; + Py_INCREF(code_object); + } + return; + } + pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line); + if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) { + PyCodeObject* tmp = entries[pos].code_object; + entries[pos].code_object = code_object; + Py_DECREF(tmp); + return; + } + if (__pyx_code_cache.count == __pyx_code_cache.max_count) { + int new_max = __pyx_code_cache.max_count + 64; + entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc( + __pyx_code_cache.entries, (size_t)new_max*sizeof(__Pyx_CodeObjectCacheEntry)); + if (unlikely(!entries)) { + return; + } + __pyx_code_cache.entries = entries; + __pyx_code_cache.max_count = new_max; + } + for (i=__pyx_code_cache.count; i>pos; i--) { + entries[i] = entries[i-1]; + } + entries[pos].code_line = code_line; + entries[pos].code_object = code_object; + __pyx_code_cache.count++; + Py_INCREF(code_object); +} + +/* AddTraceback */ + #include "compile.h" +#include "frameobject.h" +#include "traceback.h" +static PyCodeObject* __Pyx_CreateCodeObjectForTraceback( + const char *funcname, int c_line, + int py_line, const char *filename) { + PyCodeObject *py_code = 0; + PyObject *py_srcfile = 0; + PyObject *py_funcname = 0; + #if PY_MAJOR_VERSION < 3 + py_srcfile = PyString_FromString(filename); + #else + py_srcfile = PyUnicode_FromString(filename); + #endif + if (!py_srcfile) goto bad; + if (c_line) { + #if PY_MAJOR_VERSION < 3 + py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line); + #else + py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line); + #endif + } + else { + #if PY_MAJOR_VERSION < 3 + py_funcname = PyString_FromString(funcname); + #else + py_funcname = PyUnicode_FromString(funcname); + #endif + } + if (!py_funcname) goto bad; + py_code = __Pyx_PyCode_New( + 0, + 0, + 0, + 0, + 0, + __pyx_empty_bytes, /*PyObject *code,*/ + __pyx_empty_tuple, /*PyObject *consts,*/ + __pyx_empty_tuple, /*PyObject *names,*/ + __pyx_empty_tuple, /*PyObject *varnames,*/ + __pyx_empty_tuple, /*PyObject *freevars,*/ + __pyx_empty_tuple, /*PyObject *cellvars,*/ + py_srcfile, /*PyObject *filename,*/ + py_funcname, /*PyObject *name,*/ + py_line, + __pyx_empty_bytes /*PyObject *lnotab*/ + ); + Py_DECREF(py_srcfile); + Py_DECREF(py_funcname); + return py_code; +bad: + Py_XDECREF(py_srcfile); + Py_XDECREF(py_funcname); + return NULL; +} +static void __Pyx_AddTraceback(const char *funcname, int c_line, + int py_line, const char *filename) { + PyCodeObject *py_code = 0; + PyFrameObject *py_frame = 0; + PyThreadState *tstate = __Pyx_PyThreadState_Current; + if (c_line) { + c_line = __Pyx_CLineForTraceback(tstate, c_line); + } + py_code = __pyx_find_code_object(c_line ? -c_line : py_line); + if (!py_code) { + py_code = __Pyx_CreateCodeObjectForTraceback( + funcname, c_line, py_line, filename); + if (!py_code) goto bad; + __pyx_insert_code_object(c_line ? -c_line : py_line, py_code); + } + py_frame = PyFrame_New( + tstate, /*PyThreadState *tstate,*/ + py_code, /*PyCodeObject *code,*/ + __pyx_d, /*PyObject *globals,*/ + 0 /*PyObject *locals*/ + ); + if (!py_frame) goto bad; + __Pyx_PyFrame_SetLineNumber(py_frame, py_line); + PyTraceBack_Here(py_frame); +bad: + Py_XDECREF(py_code); + Py_XDECREF(py_frame); +} + +#if PY_MAJOR_VERSION < 3 +static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) { + if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags); + if (__Pyx_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags); + PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name); + return -1; +} +static void __Pyx_ReleaseBuffer(Py_buffer *view) { + PyObject *obj = view->obj; + if (!obj) return; + if (PyObject_CheckBuffer(obj)) { + PyBuffer_Release(view); + return; + } + if ((0)) {} + else if (__Pyx_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); + view->obj = NULL; + Py_DECREF(obj); +} +#endif + + + /* CIntFromPyVerify */ + #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\ + __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0) +#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\ + __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1) +#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\ + {\ + func_type value = func_value;\ + if (sizeof(target_type) < sizeof(func_type)) {\ + if (unlikely(value != (func_type) (target_type) value)) {\ + func_type zero = 0;\ + if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\ + return (target_type) -1;\ + if (is_unsigned && unlikely(value < zero))\ + goto raise_neg_overflow;\ + else\ + goto raise_overflow;\ + }\ + }\ + return (target_type) value;\ + } + +/* Declarations */ + #if CYTHON_CCOMPLEX + #ifdef __cplusplus + static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { + return ::std::complex< float >(x, y); + } + #else + static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { + return x + y*(__pyx_t_float_complex)_Complex_I; + } + #endif +#else + static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) { + __pyx_t_float_complex z; + z.real = x; + z.imag = y; + return z; + } +#endif + +/* Arithmetic */ + #if CYTHON_CCOMPLEX +#else + static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + return (a.real == b.real) && (a.imag == b.imag); + } + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + __pyx_t_float_complex z; + z.real = a.real + b.real; + z.imag = a.imag + b.imag; + return z; + } + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + __pyx_t_float_complex z; + z.real = a.real - b.real; + z.imag = a.imag - b.imag; + return z; + } + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + __pyx_t_float_complex z; + z.real = a.real * b.real - a.imag * b.imag; + z.imag = a.real * b.imag + a.imag * b.real; + return z; + } + #if 1 + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + if (b.imag == 0) { + return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real); + } else if (fabsf(b.real) >= fabsf(b.imag)) { + if (b.real == 0 && b.imag == 0) { + return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag); + } else { + float r = b.imag / b.real; + float s = (float)(1.0) / (b.real + b.imag * r); + return __pyx_t_float_complex_from_parts( + (a.real + a.imag * r) * s, (a.imag - a.real * r) * s); + } + } else { + float r = b.real / b.imag; + float s = (float)(1.0) / (b.imag + b.real * r); + return __pyx_t_float_complex_from_parts( + (a.real * r + a.imag) * s, (a.imag * r - a.real) * s); + } + } + #else + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + if (b.imag == 0) { + return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real); + } else { + float denom = b.real * b.real + b.imag * b.imag; + return __pyx_t_float_complex_from_parts( + (a.real * b.real + a.imag * b.imag) / denom, + (a.imag * b.real - a.real * b.imag) / denom); + } + } + #endif + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) { + __pyx_t_float_complex z; + z.real = -a.real; + z.imag = -a.imag; + return z; + } + static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) { + return (a.real == 0) && (a.imag == 0); + } + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) { + __pyx_t_float_complex z; + z.real = a.real; + z.imag = -a.imag; + return z; + } + #if 1 + static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) { + #if !defined(HAVE_HYPOT) || defined(_MSC_VER) + return sqrtf(z.real*z.real + z.imag*z.imag); + #else + return hypotf(z.real, z.imag); + #endif + } + static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) { + __pyx_t_float_complex z; + float r, lnr, theta, z_r, z_theta; + if (b.imag == 0 && b.real == (int)b.real) { + if (b.real < 0) { + float denom = a.real * a.real + a.imag * a.imag; + a.real = a.real / denom; + a.imag = -a.imag / denom; + b.real = -b.real; + } + switch ((int)b.real) { + case 0: + z.real = 1; + z.imag = 0; + return z; + case 1: + return a; + case 2: + z = __Pyx_c_prod_float(a, a); + return __Pyx_c_prod_float(a, a); + case 3: + z = __Pyx_c_prod_float(a, a); + return __Pyx_c_prod_float(z, a); + case 4: + z = __Pyx_c_prod_float(a, a); + return __Pyx_c_prod_float(z, z); + } + } + if (a.imag == 0) { + if (a.real == 0) { + return a; + } else if (b.imag == 0) { + z.real = powf(a.real, b.real); + z.imag = 0; + return z; + } else if (a.real > 0) { + r = a.real; + theta = 0; + } else { + r = -a.real; + theta = atan2f(0.0, -1.0); + } + } else { + r = __Pyx_c_abs_float(a); + theta = atan2f(a.imag, a.real); + } + lnr = logf(r); + z_r = expf(lnr * b.real - theta * b.imag); + z_theta = theta * b.real + lnr * b.imag; + z.real = z_r * cosf(z_theta); + z.imag = z_r * sinf(z_theta); + return z; + } + #endif +#endif + +/* Declarations */ + #if CYTHON_CCOMPLEX + #ifdef __cplusplus + static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { + return ::std::complex< double >(x, y); + } + #else + static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { + return x + y*(__pyx_t_double_complex)_Complex_I; + } + #endif +#else + static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) { + __pyx_t_double_complex z; + z.real = x; + z.imag = y; + return z; + } +#endif + +/* Arithmetic */ + #if CYTHON_CCOMPLEX +#else + static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + return (a.real == b.real) && (a.imag == b.imag); + } + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + __pyx_t_double_complex z; + z.real = a.real + b.real; + z.imag = a.imag + b.imag; + return z; + } + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + __pyx_t_double_complex z; + z.real = a.real - b.real; + z.imag = a.imag - b.imag; + return z; + } + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + __pyx_t_double_complex z; + z.real = a.real * b.real - a.imag * b.imag; + z.imag = a.real * b.imag + a.imag * b.real; + return z; + } + #if 1 + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + if (b.imag == 0) { + return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real); + } else if (fabs(b.real) >= fabs(b.imag)) { + if (b.real == 0 && b.imag == 0) { + return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag); + } else { + double r = b.imag / b.real; + double s = (double)(1.0) / (b.real + b.imag * r); + return __pyx_t_double_complex_from_parts( + (a.real + a.imag * r) * s, (a.imag - a.real * r) * s); + } + } else { + double r = b.real / b.imag; + double s = (double)(1.0) / (b.imag + b.real * r); + return __pyx_t_double_complex_from_parts( + (a.real * r + a.imag) * s, (a.imag * r - a.real) * s); + } + } + #else + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + if (b.imag == 0) { + return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real); + } else { + double denom = b.real * b.real + b.imag * b.imag; + return __pyx_t_double_complex_from_parts( + (a.real * b.real + a.imag * b.imag) / denom, + (a.imag * b.real - a.real * b.imag) / denom); + } + } + #endif + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) { + __pyx_t_double_complex z; + z.real = -a.real; + z.imag = -a.imag; + return z; + } + static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) { + return (a.real == 0) && (a.imag == 0); + } + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) { + __pyx_t_double_complex z; + z.real = a.real; + z.imag = -a.imag; + return z; + } + #if 1 + static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) { + #if !defined(HAVE_HYPOT) || defined(_MSC_VER) + return sqrt(z.real*z.real + z.imag*z.imag); + #else + return hypot(z.real, z.imag); + #endif + } + static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) { + __pyx_t_double_complex z; + double r, lnr, theta, z_r, z_theta; + if (b.imag == 0 && b.real == (int)b.real) { + if (b.real < 0) { + double denom = a.real * a.real + a.imag * a.imag; + a.real = a.real / denom; + a.imag = -a.imag / denom; + b.real = -b.real; + } + switch ((int)b.real) { + case 0: + z.real = 1; + z.imag = 0; + return z; + case 1: + return a; + case 2: + z = __Pyx_c_prod_double(a, a); + return __Pyx_c_prod_double(a, a); + case 3: + z = __Pyx_c_prod_double(a, a); + return __Pyx_c_prod_double(z, a); + case 4: + z = __Pyx_c_prod_double(a, a); + return __Pyx_c_prod_double(z, z); + } + } + if (a.imag == 0) { + if (a.real == 0) { + return a; + } else if (b.imag == 0) { + z.real = pow(a.real, b.real); + z.imag = 0; + return z; + } else if (a.real > 0) { + r = a.real; + theta = 0; + } else { + r = -a.real; + theta = atan2(0.0, -1.0); + } + } else { + r = __Pyx_c_abs_double(a); + theta = atan2(a.imag, a.real); + } + lnr = log(r); + z_r = exp(lnr * b.real - theta * b.imag); + z_theta = theta * b.real + lnr * b.imag; + z.real = z_r * cos(z_theta); + z.imag = z_r * sin(z_theta); + return z; + } + #endif +#endif + +/* CIntToPy */ + static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) { + const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0; + const int is_unsigned = neg_one > const_zero; + if (is_unsigned) { + if (sizeof(int) < sizeof(long)) { + return PyInt_FromLong((long) value); + } else if (sizeof(int) <= sizeof(unsigned long)) { + return PyLong_FromUnsignedLong((unsigned long) value); +#ifdef HAVE_LONG_LONG + } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) { + return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value); +#endif + } + } else { + if (sizeof(int) <= sizeof(long)) { + return PyInt_FromLong((long) value); +#ifdef HAVE_LONG_LONG + } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) { + return PyLong_FromLongLong((PY_LONG_LONG) value); +#endif + } + } + { + int one = 1; int little = (int)*(unsigned char *)&one; + unsigned char *bytes = (unsigned char *)&value; + return _PyLong_FromByteArray(bytes, sizeof(int), + little, !is_unsigned); + } +} + +/* CIntToPy */ + static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value) { + const enum NPY_TYPES neg_one = (enum NPY_TYPES) ((enum NPY_TYPES) 0 - (enum NPY_TYPES) 1), const_zero = (enum NPY_TYPES) 0; + const int is_unsigned = neg_one > const_zero; + if (is_unsigned) { + if (sizeof(enum NPY_TYPES) < sizeof(long)) { + return PyInt_FromLong((long) value); + } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned long)) { + return PyLong_FromUnsignedLong((unsigned long) value); +#ifdef HAVE_LONG_LONG + } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned PY_LONG_LONG)) { + return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value); +#endif + } + } else { + if (sizeof(enum NPY_TYPES) <= sizeof(long)) { + return PyInt_FromLong((long) value); +#ifdef HAVE_LONG_LONG + } else if (sizeof(enum NPY_TYPES) <= sizeof(PY_LONG_LONG)) { + return PyLong_FromLongLong((PY_LONG_LONG) value); +#endif + } + } + { + int one = 1; int little = (int)*(unsigned char *)&one; + unsigned char *bytes = (unsigned char *)&value; + return _PyLong_FromByteArray(bytes, sizeof(enum NPY_TYPES), + little, !is_unsigned); + } +} + +/* CIntFromPy */ + static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) { + const int neg_one = (int) ((int) 0 - (int) 1), const_zero = (int) 0; + const int is_unsigned = neg_one > const_zero; +#if PY_MAJOR_VERSION < 3 + if (likely(PyInt_Check(x))) { + if (sizeof(int) < sizeof(long)) { + __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x)) + } else { + long val = PyInt_AS_LONG(x); + if (is_unsigned && unlikely(val < 0)) { + goto raise_neg_overflow; + } + return (int) val; + } + } else +#endif + if (likely(PyLong_Check(x))) { + if (is_unsigned) { +#if CYTHON_USE_PYLONG_INTERNALS + const digit* digits = ((PyLongObject*)x)->ob_digit; + switch (Py_SIZE(x)) { + case 0: return (int) 0; + case 1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0]) + case 2: + if (8 * sizeof(int) > 1 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) { + return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])); + } + } + break; + case 3: + if (8 * sizeof(int) > 2 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) { + return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])); + } + } + break; + case 4: + if (8 * sizeof(int) > 3 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) { + return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])); + } + } + break; + } +#endif +#if CYTHON_COMPILING_IN_CPYTHON + if (unlikely(Py_SIZE(x) < 0)) { + goto raise_neg_overflow; + } +#else + { + int result = PyObject_RichCompareBool(x, Py_False, Py_LT); + if (unlikely(result < 0)) + return (int) -1; + if (unlikely(result == 1)) + goto raise_neg_overflow; + } +#endif + if (sizeof(int) <= sizeof(unsigned long)) { + __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x)) +#ifdef HAVE_LONG_LONG + } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) { + __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x)) +#endif + } + } else { +#if CYTHON_USE_PYLONG_INTERNALS + const digit* digits = ((PyLongObject*)x)->ob_digit; + switch (Py_SIZE(x)) { + case 0: return (int) 0; + case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0])) + case 1: __PYX_VERIFY_RETURN_INT(int, digit, +digits[0]) + case -2: + if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) { + return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]))); + } + } + break; + case 2: + if (8 * sizeof(int) > 1 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) { + return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]))); + } + } + break; + case -3: + if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) { + return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]))); + } + } + break; + case 3: + if (8 * sizeof(int) > 2 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) { + return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]))); + } + } + break; + case -4: + if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) { + return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]))); + } + } + break; + case 4: + if (8 * sizeof(int) > 3 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) { + return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]))); + } + } + break; + } +#endif + if (sizeof(int) <= sizeof(long)) { + __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x)) +#ifdef HAVE_LONG_LONG + } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) { + __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x)) +#endif + } + } + { +#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) + PyErr_SetString(PyExc_RuntimeError, + "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers"); +#else + int val; + PyObject *v = __Pyx_PyNumber_IntOrLong(x); + #if PY_MAJOR_VERSION < 3 + if (likely(v) && !PyLong_Check(v)) { + PyObject *tmp = v; + v = PyNumber_Long(tmp); + Py_DECREF(tmp); + } + #endif + if (likely(v)) { + int one = 1; int is_little = (int)*(unsigned char *)&one; + unsigned char *bytes = (unsigned char *)&val; + int ret = _PyLong_AsByteArray((PyLongObject *)v, + bytes, sizeof(val), + is_little, !is_unsigned); + Py_DECREF(v); + if (likely(!ret)) + return val; + } +#endif + return (int) -1; + } + } else { + int val; + PyObject *tmp = __Pyx_PyNumber_IntOrLong(x); + if (!tmp) return (int) -1; + val = __Pyx_PyInt_As_int(tmp); + Py_DECREF(tmp); + return val; + } +raise_overflow: + PyErr_SetString(PyExc_OverflowError, + "value too large to convert to int"); + return (int) -1; +raise_neg_overflow: + PyErr_SetString(PyExc_OverflowError, + "can't convert negative value to int"); + return (int) -1; +} + +/* CIntToPy */ + static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) { + const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0; + const int is_unsigned = neg_one > const_zero; + if (is_unsigned) { + if (sizeof(long) < sizeof(long)) { + return PyInt_FromLong((long) value); + } else if (sizeof(long) <= sizeof(unsigned long)) { + return PyLong_FromUnsignedLong((unsigned long) value); +#ifdef HAVE_LONG_LONG + } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) { + return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value); +#endif + } + } else { + if (sizeof(long) <= sizeof(long)) { + return PyInt_FromLong((long) value); +#ifdef HAVE_LONG_LONG + } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) { + return PyLong_FromLongLong((PY_LONG_LONG) value); +#endif + } + } + { + int one = 1; int little = (int)*(unsigned char *)&one; + unsigned char *bytes = (unsigned char *)&value; + return _PyLong_FromByteArray(bytes, sizeof(long), + little, !is_unsigned); + } +} + +/* CIntFromPy */ + static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) { + const long neg_one = (long) ((long) 0 - (long) 1), const_zero = (long) 0; + const int is_unsigned = neg_one > const_zero; +#if PY_MAJOR_VERSION < 3 + if (likely(PyInt_Check(x))) { + if (sizeof(long) < sizeof(long)) { + __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x)) + } else { + long val = PyInt_AS_LONG(x); + if (is_unsigned && unlikely(val < 0)) { + goto raise_neg_overflow; + } + return (long) val; + } + } else +#endif + if (likely(PyLong_Check(x))) { + if (is_unsigned) { +#if CYTHON_USE_PYLONG_INTERNALS + const digit* digits = ((PyLongObject*)x)->ob_digit; + switch (Py_SIZE(x)) { + case 0: return (long) 0; + case 1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0]) + case 2: + if (8 * sizeof(long) > 1 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) { + return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])); + } + } + break; + case 3: + if (8 * sizeof(long) > 2 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) { + return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])); + } + } + break; + case 4: + if (8 * sizeof(long) > 3 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) { + return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])); + } + } + break; + } +#endif +#if CYTHON_COMPILING_IN_CPYTHON + if (unlikely(Py_SIZE(x) < 0)) { + goto raise_neg_overflow; + } +#else + { + int result = PyObject_RichCompareBool(x, Py_False, Py_LT); + if (unlikely(result < 0)) + return (long) -1; + if (unlikely(result == 1)) + goto raise_neg_overflow; + } +#endif + if (sizeof(long) <= sizeof(unsigned long)) { + __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x)) +#ifdef HAVE_LONG_LONG + } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) { + __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x)) +#endif + } + } else { +#if CYTHON_USE_PYLONG_INTERNALS + const digit* digits = ((PyLongObject*)x)->ob_digit; + switch (Py_SIZE(x)) { + case 0: return (long) 0; + case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0])) + case 1: __PYX_VERIFY_RETURN_INT(long, digit, +digits[0]) + case -2: + if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) { + return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]))); + } + } + break; + case 2: + if (8 * sizeof(long) > 1 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) { + return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]))); + } + } + break; + case -3: + if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) { + return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]))); + } + } + break; + case 3: + if (8 * sizeof(long) > 2 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) { + return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]))); + } + } + break; + case -4: + if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) { + return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]))); + } + } + break; + case 4: + if (8 * sizeof(long) > 3 * PyLong_SHIFT) { + if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) { + __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]))) + } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) { + return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]))); + } + } + break; + } +#endif + if (sizeof(long) <= sizeof(long)) { + __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x)) +#ifdef HAVE_LONG_LONG + } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) { + __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x)) +#endif + } + } + { +#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray) + PyErr_SetString(PyExc_RuntimeError, + "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers"); +#else + long val; + PyObject *v = __Pyx_PyNumber_IntOrLong(x); + #if PY_MAJOR_VERSION < 3 + if (likely(v) && !PyLong_Check(v)) { + PyObject *tmp = v; + v = PyNumber_Long(tmp); + Py_DECREF(tmp); + } + #endif + if (likely(v)) { + int one = 1; int is_little = (int)*(unsigned char *)&one; + unsigned char *bytes = (unsigned char *)&val; + int ret = _PyLong_AsByteArray((PyLongObject *)v, + bytes, sizeof(val), + is_little, !is_unsigned); + Py_DECREF(v); + if (likely(!ret)) + return val; + } +#endif + return (long) -1; + } + } else { + long val; + PyObject *tmp = __Pyx_PyNumber_IntOrLong(x); + if (!tmp) return (long) -1; + val = __Pyx_PyInt_As_long(tmp); + Py_DECREF(tmp); + return val; + } +raise_overflow: + PyErr_SetString(PyExc_OverflowError, + "value too large to convert to long"); + return (long) -1; +raise_neg_overflow: + PyErr_SetString(PyExc_OverflowError, + "can't convert negative value to long"); + return (long) -1; +} + +/* FastTypeChecks */ + #if CYTHON_COMPILING_IN_CPYTHON +static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) { + while (a) { + a = a->tp_base; + if (a == b) + return 1; + } + return b == &PyBaseObject_Type; +} +static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) { + PyObject *mro; + if (a == b) return 1; + mro = a->tp_mro; + if (likely(mro)) { + Py_ssize_t i, n; + n = PyTuple_GET_SIZE(mro); + for (i = 0; i < n; i++) { + if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b) + return 1; + } + return 0; + } + return __Pyx_InBases(a, b); +} +#if PY_MAJOR_VERSION == 2 +static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) { + PyObject *exception, *value, *tb; + int res; + __Pyx_PyThreadState_declare + __Pyx_PyThreadState_assign + __Pyx_ErrFetch(&exception, &value, &tb); + res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0; + if (unlikely(res == -1)) { + PyErr_WriteUnraisable(err); + res = 0; + } + if (!res) { + res = PyObject_IsSubclass(err, exc_type2); + if (unlikely(res == -1)) { + PyErr_WriteUnraisable(err); + res = 0; + } + } + __Pyx_ErrRestore(exception, value, tb); + return res; +} +#else +static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) { + int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0; + if (!res) { + res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2); + } + return res; +} +#endif +static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) { + Py_ssize_t i, n; + assert(PyExceptionClass_Check(exc_type)); + n = PyTuple_GET_SIZE(tuple); +#if PY_MAJOR_VERSION >= 3 + for (i=0; ip) { + #if PY_MAJOR_VERSION < 3 + if (t->is_unicode) { + *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL); + } else if (t->intern) { + *t->p = PyString_InternFromString(t->s); + } else { + *t->p = PyString_FromStringAndSize(t->s, t->n - 1); + } + #else + if (t->is_unicode | t->is_str) { + if (t->intern) { + *t->p = PyUnicode_InternFromString(t->s); + } else if (t->encoding) { + *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL); + } else { + *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1); + } + } else { + *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1); + } + #endif + if (!*t->p) + return -1; + if (PyObject_Hash(*t->p) == -1) + return -1; + ++t; + } + return 0; +} + +static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) { + return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str)); +} +static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) { + Py_ssize_t ignore; + return __Pyx_PyObject_AsStringAndSize(o, &ignore); +} +#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT +#if !CYTHON_PEP393_ENABLED +static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) { + char* defenc_c; + PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL); + if (!defenc) return NULL; + defenc_c = PyBytes_AS_STRING(defenc); +#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII + { + char* end = defenc_c + PyBytes_GET_SIZE(defenc); + char* c; + for (c = defenc_c; c < end; c++) { + if ((unsigned char) (*c) >= 128) { + PyUnicode_AsASCIIString(o); + return NULL; + } + } + } +#endif + *length = PyBytes_GET_SIZE(defenc); + return defenc_c; +} +#else +static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) { + if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL; +#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII + if (likely(PyUnicode_IS_ASCII(o))) { + *length = PyUnicode_GET_LENGTH(o); + return PyUnicode_AsUTF8(o); + } else { + PyUnicode_AsASCIIString(o); + return NULL; + } +#else + return PyUnicode_AsUTF8AndSize(o, length); +#endif +} +#endif +#endif +static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) { +#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT + if ( +#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII + __Pyx_sys_getdefaultencoding_not_ascii && +#endif + PyUnicode_Check(o)) { + return __Pyx_PyUnicode_AsStringAndSize(o, length); + } else +#endif +#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE)) + if (PyByteArray_Check(o)) { + *length = PyByteArray_GET_SIZE(o); + return PyByteArray_AS_STRING(o); + } else +#endif + { + char* result; + int r = PyBytes_AsStringAndSize(o, &result, length); + if (unlikely(r < 0)) { + return NULL; + } else { + return result; + } + } +} +static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) { + int is_true = x == Py_True; + if (is_true | (x == Py_False) | (x == Py_None)) return is_true; + else return PyObject_IsTrue(x); +} +static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) { + int retval; + if (unlikely(!x)) return -1; + retval = __Pyx_PyObject_IsTrue(x); + Py_DECREF(x); + return retval; +} +static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) { +#if PY_MAJOR_VERSION >= 3 + if (PyLong_Check(result)) { + if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1, + "__int__ returned non-int (type %.200s). " + "The ability to return an instance of a strict subclass of int " + "is deprecated, and may be removed in a future version of Python.", + Py_TYPE(result)->tp_name)) { + Py_DECREF(result); + return NULL; + } + return result; + } +#endif + PyErr_Format(PyExc_TypeError, + "__%.4s__ returned non-%.4s (type %.200s)", + type_name, type_name, Py_TYPE(result)->tp_name); + Py_DECREF(result); + return NULL; +} +static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) { +#if CYTHON_USE_TYPE_SLOTS + PyNumberMethods *m; +#endif + const char *name = NULL; + PyObject *res = NULL; +#if PY_MAJOR_VERSION < 3 + if (likely(PyInt_Check(x) || PyLong_Check(x))) +#else + if (likely(PyLong_Check(x))) +#endif + return __Pyx_NewRef(x); +#if CYTHON_USE_TYPE_SLOTS + m = Py_TYPE(x)->tp_as_number; + #if PY_MAJOR_VERSION < 3 + if (m && m->nb_int) { + name = "int"; + res = m->nb_int(x); + } + else if (m && m->nb_long) { + name = "long"; + res = m->nb_long(x); + } + #else + if (likely(m && m->nb_int)) { + name = "int"; + res = m->nb_int(x); + } + #endif +#else + if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) { + res = PyNumber_Int(x); + } +#endif + if (likely(res)) { +#if PY_MAJOR_VERSION < 3 + if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) { +#else + if (unlikely(!PyLong_CheckExact(res))) { +#endif + return __Pyx_PyNumber_IntOrLongWrongResultType(res, name); + } + } + else if (!PyErr_Occurred()) { + PyErr_SetString(PyExc_TypeError, + "an integer is required"); + } + return res; +} +static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) { + Py_ssize_t ival; + PyObject *x; +#if PY_MAJOR_VERSION < 3 + if (likely(PyInt_CheckExact(b))) { + if (sizeof(Py_ssize_t) >= sizeof(long)) + return PyInt_AS_LONG(b); + else + return PyInt_AsSsize_t(b); + } +#endif + if (likely(PyLong_CheckExact(b))) { + #if CYTHON_USE_PYLONG_INTERNALS + const digit* digits = ((PyLongObject*)b)->ob_digit; + const Py_ssize_t size = Py_SIZE(b); + if (likely(__Pyx_sst_abs(size) <= 1)) { + ival = likely(size) ? digits[0] : 0; + if (size == -1) ival = -ival; + return ival; + } else { + switch (size) { + case 2: + if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) { + return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])); + } + break; + case -2: + if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) { + return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])); + } + break; + case 3: + if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) { + return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])); + } + break; + case -3: + if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) { + return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])); + } + break; + case 4: + if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) { + return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])); + } + break; + case -4: + if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) { + return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])); + } + break; + } + } + #endif + return PyLong_AsSsize_t(b); + } + x = PyNumber_Index(b); + if (!x) return -1; + ival = PyInt_AsSsize_t(x); + Py_DECREF(x); + return ival; +} +static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) { + return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False); +} +static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) { + return PyInt_FromSize_t(ival); +} + + +#endif /* Py_PYTHON_H */ diff --git a/mesh/Zbuffer_algo/zbuffer_core_cython.cpython-36m-darwin.so b/mesh/Zbuffer_algo/zbuffer_core_cython.cpython-36m-darwin.so new file mode 100755 index 0000000..10737eb Binary files /dev/null and b/mesh/Zbuffer_algo/zbuffer_core_cython.cpython-36m-darwin.so differ diff --git a/mesh/Zbuffer_algo/zbuffer_core_cython.pyx b/mesh/Zbuffer_algo/zbuffer_core_cython.pyx new file mode 100644 index 0000000..395451c --- /dev/null +++ b/mesh/Zbuffer_algo/zbuffer_core_cython.pyx @@ -0,0 +1,49 @@ +import numpy as np +cimport numpy as np +from libcpp.string cimport string + +# use the Numpy-C-API from Cython +np.import_array() + +cdef extern from "3DMM.h": + void ZBuffer(double* vertex, double* tri, double* texture, + int nver, int ntri, + double* src_img, + int width, int height, int nChannels, + double* img, double* tri_ind) + + void ZBufferTri(double* vertex, double* tri, double* texture_tri, + int nver, int ntri, + double* src_img, + int width, int height, int nChannels, + double* img, double* tri_ind) + +def ZBuffer_python(np.ndarray[double, ndim=2, mode = "c"] vertex not None, + np.ndarray[double, ndim=2, mode = "c"] tri not None, + np.ndarray[double, ndim=2, mode="c"] texture not None, + int nver, int ntri, + np.ndarray[double, ndim=3, mode = "c"] src_img not None, + int width, int height, int nChannels, + np.ndarray[double, ndim=3, mode = "c"] img not None, + np.ndarray[double, ndim=3, mode = "c"] tri_ind not None, + ): + ZBuffer( + np.PyArray_DATA(vertex), np.PyArray_DATA(tri), np.PyArray_DATA(texture), + nver, ntri, + np.PyArray_DATA(src_img), width, height, nChannels, + np.PyArray_DATA(img), np.PyArray_DATA(tri_ind)) + +def ZBufferTri_python(np.ndarray[double, ndim=2, mode = "c"] vertex not None, + np.ndarray[double, ndim=2, mode = "c"] tri not None, + np.ndarray[double, ndim=2, mode="c"] texture_tri not None, + int nver, int ntri, + np.ndarray[double, ndim=3, mode = "c"] src_img not None, + int width, int height, int nChannels, + np.ndarray[double, ndim=3, mode = "c"] img not None, + np.ndarray[double, ndim=3, mode = "c"] tri_ind not None, + ): + ZBufferTri( + np.PyArray_DATA(vertex), np.PyArray_DATA(tri), np.PyArray_DATA(texture_tri), + nver, ntri, + np.PyArray_DATA(src_img), width, height, nChannels, + np.PyArray_DATA(img), np.PyArray_DATA(tri_ind)) \ No newline at end of file diff --git a/mesh/Zbuffer_mesh.py b/mesh/Zbuffer_mesh.py new file mode 100644 index 0000000..65bd053 --- /dev/null +++ b/mesh/Zbuffer_mesh.py @@ -0,0 +1,43 @@ +from .Zbuffer_algo import zbuffer_core_cython +import numpy as np + +def ZBufferTri(projectedVertex, tri, texture_tri, img_src): + projectedVertex = projectedVertex - 1 + tri = tri - 1 + height, width, nChannels = img_src.shape + nver = projectedVertex.shape[1] + ntri = tri.shape[1] + projectedVertex = np.transpose(projectedVertex).astype(np.double).copy() + tri = np.transpose(tri).astype(np.double).copy() + texture_tri = texture_tri.astype(np.double).copy() + img_src = img_src.astype(np.double).copy() + + img = np.zeros((height, width, nChannels), dtype=np.double) + tri_ind = np.zeros((height, width, 1), dtype=np.double) + + zbuffer_core_cython.ZBufferTri_python(projectedVertex, tri, texture_tri, nver, ntri, img_src, width, height, nChannels, img, tri_ind) + tri_ind = tri_ind + 1 + img = np.squeeze(img, axis=2) + tri_ind = np.squeeze(tri_ind, axis=2) + return img, tri_ind + + +def ZBuffer(projectedVertex, tri, texture, img_src): + projectedVertex = projectedVertex - 1 + tri = tri - 1 + height, width, nChannels = img_src.shape + nver = projectedVertex.shape[1] + ntri = tri.shape[1] + projectedVertex = np.transpose(projectedVertex).astype(np.double).copy() + tri = np.transpose(tri).astype(np.double).copy() + texture = texture.astype(np.double).copy() + img_src = img_src.astype(np.double).copy() + + img = np.zeros((height, width, nChannels), dtype=np.double) + tri_ind = np.zeros((height, width, 1), dtype=np.double) + + zbuffer_core_cython.ZBuffer_python(projectedVertex, tri, texture, nver, ntri, img_src, width, height, nChannels, img, tri_ind) + tri_ind = tri_ind + 1 + img = np.squeeze(img, axis=2) + tri_ind = np.squeeze(tri_ind, axis=2) + return img, tri_ind \ No newline at end of file diff --git a/mesh/__pycache__/FaceFrontalization_mesh.cpython-36.pyc b/mesh/__pycache__/FaceFrontalization_mesh.cpython-36.pyc new file mode 100644 index 0000000..12ab2d1 Binary files /dev/null and b/mesh/__pycache__/FaceFrontalization_mesh.cpython-36.pyc differ diff --git a/mesh/__pycache__/Zbuffer_mesh.cpython-36.pyc b/mesh/__pycache__/Zbuffer_mesh.cpython-36.pyc new file mode 100644 index 0000000..44e829f Binary files /dev/null and b/mesh/__pycache__/Zbuffer_mesh.cpython-36.pyc differ diff --git a/models/ModelGenerate.m b/models/ModelGenerate.m new file mode 100755 index 0000000..2dfbf13 --- /dev/null +++ b/models/ModelGenerate.m @@ -0,0 +1,17 @@ +load('01_MorphableModel.mat'); +load('model_info.mat'); +trimIndex1 = [3*trimIndex-2, 3*trimIndex-1, 3*trimIndex]'; +trimIndex1 = trimIndex1(:); + +mu_shape = shapeMU(trimIndex1); +w = shapePC(trimIndex1, :); +sigma = shapeEV; + +tex = texMU(trimIndex1); +tex = reshape(tex, 3, length(tex)/3); + +segbin = segbin(trimIndex, :); + +save('Model_Shape.mat', 'mu_shape', 'w', 'sigma', 'tex', 'tri', 'keypoints', 'symlist', 'symlist_tri', 'segbin', 'segbin_tri'); + + diff --git a/models/Model_Completion.mat b/models/Model_Completion.mat new file mode 100755 index 0000000..dc76cb1 Binary files /dev/null and b/models/Model_Completion.mat differ diff --git a/models/Model_Expression.mat b/models/Model_Expression.mat new file mode 100755 index 0000000..ac23f98 Binary files /dev/null and b/models/Model_Expression.mat differ diff --git a/models/Model_FWH.mat b/models/Model_FWH.mat new file mode 100755 index 0000000..83fe43c Binary files /dev/null and b/models/Model_FWH.mat differ diff --git a/models/Model_face_contour_trimed.mat b/models/Model_face_contour_trimed.mat new file mode 100755 index 0000000..f41efc8 Binary files /dev/null and b/models/Model_face_contour_trimed.mat differ diff --git a/models/Model_fullmod_contour.mat b/models/Model_fullmod_contour.mat new file mode 100755 index 0000000..666109d Binary files /dev/null and b/models/Model_fullmod_contour.mat differ diff --git a/models/Model_keypoints.mat b/models/Model_keypoints.mat new file mode 100755 index 0000000..8900fed Binary files /dev/null and b/models/Model_keypoints.mat differ diff --git a/models/Model_tri_mouth.mat b/models/Model_tri_mouth.mat new file mode 100755 index 0000000..c3fed5d Binary files /dev/null and b/models/Model_tri_mouth.mat differ diff --git a/models/Modelplus_parallel.mat b/models/Modelplus_parallel.mat new file mode 100755 index 0000000..64fd213 Binary files /dev/null and b/models/Modelplus_parallel.mat differ diff --git a/models/model_info.mat b/models/model_info.mat new file mode 100755 index 0000000..7d68165 Binary files /dev/null and b/models/model_info.mat differ diff --git a/utility/FittingModel3D_validpoint.py b/utility/FittingModel3D_validpoint.py new file mode 100644 index 0000000..9559145 --- /dev/null +++ b/utility/FittingModel3D_validpoint.py @@ -0,0 +1,143 @@ +import numpy as np + +def FittingModel3D_validpoint(pt3d, Model, valid_ind): + + iteration = 0 + maxiteration = 4 + + mu = np.squeeze(Model['mu'], axis=0)[0] + w = np.squeeze(Model['w'], axis=0)[0] + sigma = np.squeeze(Model['sigma'], axis=0)[0] + # tri = Model['tri'] + keypoints = np.transpose(valid_ind) + keypoints1 = np.vstack((3 * keypoints - 2, np.vstack((3 * keypoints - 1, 3 * keypoints)))) + keypoints1 = np.reshape(np.transpose(keypoints1), (keypoints1.shape[0] * keypoints1.shape[1], 1)) - 1 + + alpha = np.zeros((w.shape[1], 1)) + f = 1 + R = np.eye(3) + t = np.zeros((3, 1)) + + mu_key = np.squeeze(mu[keypoints1], axis=1) + w_key = np.squeeze(w[keypoints1,:], axis=1) + + # Firstly pose and expression + while(True): + if (iteration > maxiteration): + break + iteration = iteration + 1 + + # vertex = mu + w * alpha; + # vertex = reshape(vertex, 3, length(vertex) / 3); + # ProjectVertex = f * R * vertex + repmat(t, 1, size(vertex, 2)); + # DrawSolidHead(ProjectVertex, tri); + + # 1.PoseEstimate + vertex_key = mu_key + np.matmul(w_key, alpha) + vertex_key = np.reshape(vertex_key, (int(vertex_key.shape[0] / 3), 3)) + + # print(pt3d) + f, R, t = AlignPoints(vertex_key, pt3d) + + # 2. shape fitting + beta = 3000 + alpha = FittingShape3D(pt3d, f, R, t, mu_key, w_key, sigma, beta) + # print(R) + phi, gamma, theta = RotationMatrix2Angle(R) + # print(phi, gamma, theta) + return f, phi, gamma, theta, t, alpha + +def RotationMatrix2Angle(R): + # reference: Extracting Euler Angles from a Rotation Matrix, Mike Day + # if you are interested in this theme, please refer to + # http://www.mathworks.com/matlabcentral/newsreader/view_thread/160945 + + theta1 = np.arctan2(R[1, 2], R[2, 2]) + c2 = np.sqrt(R[0, 0] * R[0, 0] + R[0, 1] * R[0, 1]) + theta2 = np.arctan2(-R[0, 2], c2) + s1 = np.sin(theta1) + c1 = np.cos(theta1) + theta3 = np.arctan2(s1 * R[2, 0] - c1 * R[1, 0], c1 * R[1, 1] - s1 * R[2, 1]) + + phi = theta1 + gamma = theta2 + theta = theta3 + return phi, gamma, theta + +def FittingShape3D(pt3d, f, R, t, mu, w, sigma, beta): + # Initialize Shape with Keypoint + # @input pt3d: Keypoint on the modal; + # @input pt2d: Keypoint on the image + # @input keypoints1: Keypoint index on the modal + # @input R t s: Pose parameter + # @input beta: Regularization parameter; + # @input sigma: Shpae's PCA parameter sigma + # @output alpha: Shape's PCA paramter + + m = pt3d.shape[0] + n = w.shape[1] + # print('pt3d', pt3d.shape) + + t3d = t + + s3d = np.reshape(mu, (int(mu.shape[0] / 3), 3)) + s3d = np.matmul(f * R, np.transpose(s3d)) + # print('s3d', s3d.shape) + + t3d = np.tile(t3d, (pt3d.shape[0], 1)) + # print('t3d', t3d.shape) + + w3d = np.zeros((3 * m, n)) + for i in range(n): + tempdata = np.reshape(w[:, i], (m, 3)) + tempdata3d = np.matmul(f * R, np.transpose(tempdata)) + tempdata3d = np.reshape(np.transpose(tempdata3d), (tempdata3d.shape[0]*tempdata3d.shape[1], 1)) + w3d[:, i] = np.squeeze(tempdata3d) + + # print('w3d', w3d.shape) + # optimize the equation + # 要求目标3D model的关键点经过投影后与2D图像关键点重合，作为形状约束 + # 公式为：优化公式为：||x - T(w * alpha + mu)|| + lambda * alpha' * C * alpha + # 求极小值得：(w'T'Tw + lambda*C) * alpha = w'T'x - w'T'T*mu 其中w2d = wT + + equationLeft = np.matmul(np.transpose(w3d), w3d) + beta * np.diag(np.squeeze(1 / (sigma * sigma))) + # print(equationLeft) + pt3d = np.reshape(pt3d, (pt3d.shape[0] * pt3d.shape[1], 1)) + s3d = np.reshape(np.transpose(s3d), (s3d.shape[0] * s3d.shape[1], 1)) + t3d = np.reshape(t3d, (t3d.shape[0] * t3d.shape[1], 1)) + equationRight = np.matmul(np.transpose(w3d), (pt3d - s3d - t3d)) + # print(equationRight) + alpha = np.dot(np.linalg.inv(equationLeft), equationRight) + # print(alpha) + return alpha + +def AlignPoints(p1, p2): + n, d = p1.shape + # print(p1.shape, p2.shape) + + mu1 = np.mean(p1, 0) + mu2 = np.mean(p2, 0) + + p1_0 = p1 - np.tile(mu1, (n, 1)) + p2_0 = p2 - np.tile(mu2, (n, 1)) + temp1 = p1_0 * p1_0 + sigma1 = np.sum(temp1[:]) / n + temp2 = p2_0 * p2_0 + sigma2 = np.sum(temp2[:]) / n + # print(sigma1, sigma2) + + K = np.matmul(np.transpose(p2_0), p1_0) / n + + U, G, V = np.linalg.svd(K) + S = np.eye(d) + + if np.linalg.det(K) < 0: + S[d, d] = -1 + + R = np.matmul(np.matmul(U, S), V) + c = np.trace(G * S) / sigma1 + t = mu2 - np.matmul(c * R, mu1) + # print(R, c , t) + return c, R, t + + diff --git a/utility/ImageMeshing.py b/utility/ImageMeshing.py new file mode 100644 index 0000000..4c80648 --- /dev/null +++ b/utility/ImageMeshing.py @@ -0,0 +1,472 @@ +import numpy as np +from .param_parse import * +from scipy.spatial import Delaunay +import scipy.io as sio +import matplotlib.pyplot as plt +from mesh.Zbuffer_mesh import ZBuffer + +def imgContourBbox(bbox, wp_num): + # IMGCONTOUR Summary of this function goes here + # Detailed explanation goes here + width = bbox[2] - bbox[0] + height = bbox[3] - bbox[1] + + wp_num = int(wp_num - 2) + hp_num = int(round(height / width * (wp_num + 2)) - 2) + w_inter = (width - 1) / (wp_num + 1) + h_inter = (height - 1) / (hp_num + 1) + + #up edge + start_point = [bbox[0], bbox[1]] + interval = [w_inter, 0] + img_contour = np.expand_dims(np.array(start_point), axis=1) + for i in range(1, wp_num + 1): + temp = [start_point[m] + i * interval[m] for m in range(len(start_point))] + img_contour = np.hstack([img_contour, np.expand_dims(np.array(temp), axis=1)]) + + #right edge + start_point = [bbox[2], bbox[1]] + interval = [0, h_inter] + # img_contour = np.hstack([img_contour, np.expand_dims(np.array(start_point), axis=1)]) + for i in range(hp_num + 1): + temp = [start_point[m] + i * interval[m] for m in range(len(start_point))] + img_contour = np.hstack([img_contour, np.expand_dims(np.array(temp), axis=1)]) + + #down edge + start_point = [bbox[2], bbox[3]] + interval = [-w_inter, 0] + # iimg_contour = np.hstack([img_contour, np.expand_dims(np.array(start_point), axis=1)]) + for i in range(wp_num + 1): + temp = [start_point[m] + i * interval[m] for m in range(len(start_point))] + img_contour = np.hstack([img_contour, np.expand_dims(np.array(temp), axis=1)]) + + #left edge + start_point = [bbox[0], bbox[3]] + interval = [0, -h_inter] + # img_contour = np.hstack([img_contour, np.expand_dims(np.array(start_point), axis=1)]) + + for i in range(hp_num + 1): + temp = [start_point[m] + i * interval[m] for m in range(len(start_point))] + img_contour = np.hstack([img_contour, np.expand_dims(np.array(temp), axis=1)]) + + return img_contour + +def KeypointsWithPose(phi, gamma, theta, vertex, tri, isoline, keypoints, modify_ind): + ProjectVertex = np.matmul(RotationMatrix(phi, gamma, 0), vertex) + ProjectVertex = ProjectVertex - np.transpose(np.tile(np.min(ProjectVertex, axis=1), (ProjectVertex.shape[1], 1))) + 1 + temp = np.reshape(ProjectVertex, (ProjectVertex.shape[0] * ProjectVertex.shape[1], 1)) + ProjectVertex = ProjectVertex / np.max(np.abs(temp)) + + keypoints_pose = keypoints - 1 + modify_key = modify_ind + # print('keypoints_pose', keypoints_pose.shape) + + # contour_line = [] + # for i in range(modify_key.shape[0]): + # contour_line.append(isoline[modify_key[i], 0]) + + # 3.get the outest point on the contour line + for i in range(modify_key.shape[0]): + temp = np.squeeze(isoline[modify_key[i], 0]) - 1 + if (gamma >= 0): + min_ind = np.where(ProjectVertex[0, temp] == np.min(ProjectVertex[0, temp])) + keypoints_pose[0, modify_key[i]] = temp[min_ind] + else: + max_ind = np.where(ProjectVertex[0, temp] == np.max(ProjectVertex[0, temp])) + keypoints_pose[0, modify_key[i]] = temp[max_ind] + + return keypoints_pose + + +def EliminateInternalTri(cont_ver, tri): + # DrawHeadMesh(cont_ver, tri, cont_ver); + valid_bin = np.zeros((tri.shape[1], 1)) + for i in range(1, cont_ver.shape[1]): + # for each contour point, find its related tri + bin = np.where(tri[0, :] == i, 1, 0) | np.where(tri[1, :] == i, 1, 0) | np.where(tri[2, :] == i, 1, 0) + conn_tri_ind = np.where(bin == 1)#find(bin) + conn_tri = np.squeeze(tri[:, conn_tri_ind], axis=1) + angle_list = [] + for j in range(conn_tri.shape[1]): + # for each connected tri, find the angle centered at i + other_point = np.setdiff1d(conn_tri[:, j], i) + line1 = np.array([i, other_point[0]]) - 1 + line1 = cont_ver[0:2, line1] + line1 = line1[:, 1] - line1[:, 0] + line2 = np.array([i, other_point[1]]) - 1 + line2 = cont_ver[0:2, line2] + line2 = line2[:, 1] - line2[:, 0] + angle_cos = np.matmul(np.transpose(line1), line2) / np.sqrt(np.matmul(np.transpose(line1), line1)) / np.sqrt(np.matmul(np.transpose(line2), line2)) + angle = np.arccos(angle_cos) + angle_list.append(angle) + # print(sum(angle_list)) + + if (sum(angle_list) > (350 / 180 * np.pi)): + #if the sum of angles around the vertex i is 360, it is a + #concave point + for j in range(conn_tri.shape[1]): + # for each connected tri, find the angle centered at i + other_point = np.setdiff1d(conn_tri[:,j], i) + # if edge connecting point i is the contour edge, it is a + # valid triangle + bin1 = abs(i - other_point[0]) == 1 | abs(i-other_point[0]) == cont_ver.shape[1] - 1 + bin2 = abs(i - other_point[1]) == 1 | abs(i-other_point[1]) == cont_ver.shape[1] - 1 + if (bin1 & bin2): + valid_bin[conn_tri_ind[j]] = 1 + return valid_bin + + +def AnchorAdjustment_Z(contour_all, contour_all_ref, adjust_bin, tri, img): + PI = 3.1415926 + + height, width, nChannels = img.shape + adjust_bin = np.squeeze(adjust_bin) + + adjust_ind = np.where(1 == adjust_bin)[0] + 1 + print(adjust_ind.shape) + + # get only z coordinates + # we sovle the equation Y = AX + # where X is the(x, y) of outpoint_des + # Y and A represent relations between inpoints_src and outpoint_src + MAX_EQU_NUM = 2500 + Y_Equ = np.zeros((MAX_EQU_NUM, 1)) + A_Equ = np.zeros((MAX_EQU_NUM, len(adjust_ind))) + equ_num = 0 + + for i in range(len(adjust_ind)): + # for each outpoint + pt = adjust_ind[i] + + # find the corresponding tri + bin = np.in1d(tri[0, :], pt) | np.in1d(tri[1, :], pt) | np.in1d(tri[2, :], pt) + bin = np.where(True == bin) + + # find connecting point + temp = np.squeeze(tri[:, bin], axis=1) + connect = np.unique(np.reshape(temp, (temp.shape[1] * temp.shape[0], 1))) + connect = np.setdiff1d(connect, pt) + for j in range(connect.shape[0]): + pt_con = connect[j] + if adjust_bin[pt_con - 1]: + # if connected to a point need adjustment, we module their relationships + z_offset = contour_all_ref[2, pt - 1] - contour_all_ref[2, pt_con - 1] + + dis = contour_all_ref[[1, 2], pt - 1] - contour_all_ref[[1, 2], pt_con - 1] + dis = np.sqrt(np.matmul(np.transpose(dis), dis)) + weight = 1 / dis + weight = 1 + + pt1 = np.where(adjust_ind == pt) + pt_con1 = np.where(adjust_ind == pt_con) + + A = np.zeros((1, len(adjust_ind))) + A[0, pt1] = 1 + A[0, pt_con1] = -1 + Y = z_offset + A_Equ[equ_num, :] = A * weight + Y_Equ[equ_num] = Y * weight + equ_num = equ_num + 1 + else: + # if connected to solid point, we module the positions + z_new = contour_all_ref[2, pt - 1] - contour_all_ref[2, pt_con - 1] + contour_all[2, pt_con - 1] + + dis = contour_all_ref[0: 2, pt - 1] - contour_all_ref[0 :2, pt_con - 1] + dis = np.sqrt(np.matmul(np.transpose(dis), dis)) + weight = 1 / dis + weight = 1 + + pt1 = np.where(adjust_ind == pt) + + A = np.zeros((1, len(adjust_ind))) + A[0, pt1] = 1 + Y = z_new + A_Equ[equ_num, :] = A * weight + Y_Equ[equ_num] = Y * weight + equ_num = equ_num + 1 + + A_Equ = A_Equ[0:equ_num, :] + Y_Equ = Y_Equ[0:equ_num] + + ## get the new position + X = np.squeeze(np.linalg.lstsq(A_Equ, Y_Equ)[0]) + contour_all_z = contour_all + contour_all_z[2, adjust_ind - 1] = X + + return contour_all_z + + +def ImageMeshing(vertex, tri_plus, vertex_full, tri_full, vertexm_full, + f, phi, gamma, theta, t3d, keypoints, keypointsfull_contour, parallelfull_contour, img, layer_width): + height, width, nChannels = img.shape + layer = len(layer_width) + + R = RotationMatrix(phi, gamma, theta) + + ProjectVertex_full = np.matmul(f * R, np.transpose(vertex_full)) + np.transpose(np.tile(t3d, (vertex_full.shape[0], 1))) + ProjectVertexm_full = np.matmul(f * R, np.transpose(vertexm_full)) + np.transpose(np.tile(t3d, (vertexm_full.shape[0], 1))) + + ProjectVertex_full[1, :] = height + 1 - ProjectVertex_full[1, :] + ProjectVertexm_full[1, :] = height + 1 - ProjectVertexm_full[1, :] + + contlist = [] + bboxlist = [] + + if gamma > 0: + face_contour_modify = np.hstack([np.array(range(8)), np.array(range(24, 30))]) + else: + face_contour_modify = np.array(range(9, 23)) + + face_contour_ind = KeypointsWithPose(phi, gamma, theta, np.transpose(vertex_full), tri_full, parallelfull_contour, keypointsfull_contour, face_contour_modify) + face_contour = np.squeeze(ProjectVertex_full[:, face_contour_ind], axis=1) + + contlist.append(face_contour) + tl = np.min(face_contour[0:2, :], axis=1) + br = np.max(face_contour[0:2, :], axis=1) + bbox = np.hstack([tl, br]) + bboxlist.append(bbox) + + #2.Get the MultiLayers between face_contour and img_contour + #other layers + nosetip = keypoints[0, 33] - 1 + + contour_base = face_contour + face_center = np.mean(contour_base[0:2,:], axis=1) + R = RotationMatrix(phi, gamma, theta) + vertex = np.transpose(vertex) + vertex_full = np.transpose(vertex_full) + + for i in range(1, layer+1): + curlayer_width = 1 + layer_width[i-1] + contour = np.zeros((contour_base.shape[0], contour_base.shape[1])) + for j in range(contour_base.shape[1]): + pt = contour_base[:, j] + x = pt[0] - face_center[0] + y = pt[1] - face_center[1] + pt1 = face_center + curlayer_width * np.transpose([x, y]) + contour[0:2, j] = pt1 + + t3d_cur = np.matmul(f * R, vertex[:, nosetip]) + t3d - np.matmul(f * curlayer_width * R, vertex[:, nosetip]) + + contour3d = np.matmul(f * curlayer_width * R, np.squeeze(vertex_full[:, face_contour_ind])) + np.transpose(np.tile(t3d_cur, (face_contour_ind.shape[1], 1))) + contour3d[1,:] = height + 1 - contour3d[1, :] + + contour[2, :] = contour3d[2, :] + + contlist.append(contour) + tl = np.min(contour[0:2, :], axis=1) + br = np.max(contour[0:2, :], axis=1) + bbox = np.hstack([tl, br]) + bboxlist.append(bbox) + + #Get the img_contour + wp_num = 7 + + bbox1 = bboxlist[len(bboxlist) - 1] + bbox2 = bboxlist[len(bboxlist) - 2] + margin = bbox1 - bbox2 + bbox = bbox1 + margin + bbox[0] = min(bbox[0], 1) + bbox[1] = min(bbox[1], 1) + bbox[2] = max(bbox[2], width) + bbox[3] = max(bbox[3], height) + bboxlist.append(bbox) + wp_num1 = round(wp_num / (bbox1[2] - bbox1[0]) * (bbox[2] - bbox[0])) + # print(bboxlist) + img_contour = imgContourBbox(bbox, wp_num1) + img_contour = np.vstack([img_contour, np.zeros((1, img_contour.shape[1]))]) + contlist.append(img_contour) + + ##Triangulation + contour_all = contlist[0] + for i in range(1, len(contlist)): + contour_all = np.hstack([contour_all, contlist[i]]) + + tri_all = Delaunay(np.transpose(contour_all)[:, 0:2]).simplices.copy() + 1 + + # plt.triplot(np.transpose(contour_all)[:, 0], np.transpose(contour_all)[:, 1], tri_all - 1) + # plt.plot(np.transpose(contour_all)[:, 0], np.transpose(contour_all)[:, 1], 'o') + # plt.show() + + tri_all = np.transpose(tri_all) + co = np.array(range(face_contour.shape[1])) + 1 + inbin = np.in1d(tri_all[0,:], co) & np.in1d(tri_all[1,:], co) & np.in1d(tri_all[2,:], co) + + #further judge the internal triangles, since there maybe concave tri + tri_inner = np.squeeze(tri_all[:, np.where(inbin == True)]) + cont_inner = contlist[0] + #DrawSolidHead(cont_inner, tri_inner, cont_inner); + # + # tri_inner = np.array([[24, 4, 5, 9, 6, 12, 2, 16, 22, 22, 25, 25, 25, 30, 17, 29, 11, 14, 14, 15, 14, 14, 6, 16, 24, 18, 29, 19], + # [23, 10, 10, 8, 9, 11, 1, 15, 21, 20, 27, 28, 24, 17, 30, 19, 10, 11, 3, 3, 4, 13, 10, 1, 29, 30, 23, 23], + # [29, 5, 6, 7, 7, 14, 16, 2, 20, 19, 26, 27, 28, 1, 18, 30, 4, 4, 15, 2, 3, 12, 9, 17, 28, 19, 19, 22]]) + # print(tri_inner) + valid_inner_tri = EliminateInternalTri(cont_inner, tri_inner) + tri_inner = np.squeeze(tri_all[:, np.where(inbin == True)]) + tri_inner = np.squeeze(tri_inner[:, np.where(valid_inner_tri == 1)]) + + if 0 == tri_inner.size: + tri_all = np.squeeze(tri_all[:, np.where(inbin == False)]) + else: + tri_all = np.hstack([np.squeeze(tri_all[:, np.where(inbin == False)]), tri_inner]) + + # plt.triplot(np.transpose(contour_all)[:, 0], np.transpose(contour_all)[:, 1], np.transpose(tri_all - 1)) + # plt.plot(np.transpose(contour_all)[:, 0], np.transpose(contour_all)[:, 1], 'o') + # plt.show() + + #DrawHeadMesh(contour_all, tri_all, contlist{1}); + + ##Now we need to determine the z coordinates of each contour point + #Following the two considerations + #1. There always have face regions in the background + #2. We don't care about the alignment result of background pixels + + #the z coordinates of img contour out + # tri_all = sio.loadmat('./tri_all.mat')['tri_all'] + + img_contour = contlist[-1] + img_contour_co = list(range(contour_all.shape[1] - img_contour.shape[1] + 1, contour_all.shape[1] + 1)) + for i in range(len(img_contour_co)): + ind = img_contour_co[i] + # find the related triangle + bin = np.in1d(tri_all[0,:], ind) | np.in1d(tri_all[1, :], ind) | np.in1d(tri_all[2, :], ind) + bin = np.where(bin == True) + conn_tri = np.squeeze(tri_all[:, bin], axis=1) + # print(conn_tri.shape) + conn_point = np.unique(np.reshape(conn_tri, (conn_tri.shape[0] * conn_tri.shape[1], 1))) + conn_face_contour_ind = np.setdiff1d(conn_point, img_contour_co) - 1 + if 0 == conn_face_contour_ind.size: + img_contour[2, i] = np.inf + continue + #get the z coordinates of each connect face contour + z_coordinates = np.squeeze(contour_all[2, conn_face_contour_ind]) + # print(z_coordinates) + img_contour[2, i] = np.mean(z_coordinates) + + contlist[-1] = img_contour + contour_all = contlist[0] + for i in range(1, len(contlist)): + contour_all = np.hstack([contour_all, contlist[i]]) + + # Complement the point with no face contour correspondence + img_contour_co = np.array(range(contour_all.shape[1] - img_contour.shape[1] + 1, contour_all.shape[1] + 1)) + + bin = np.isinf(img_contour[2, :]) + invalid_co = np.where(bin == True) + + while 0 != invalid_co[0].size: + valid_co = np.where(bin == False) + img_contour_co_cur = np.squeeze(img_contour_co[valid_co]) + + for i in range(img_contour_co.shape[0]): + ind = img_contour_co[i] + # find the related triangle + bin = np.in1d(tri_all[0,:], ind) | np.in1d(tri_all[1,:], ind) | np.in1d(tri_all[2,:], ind) + bin = np.where(True == bin) + conn_tri = np.squeeze(tri_all[:, bin], axis=1) + conn_point = np.unique(np.reshape(conn_tri, (conn_tri.shape[0] * conn_tri.shape[1], 1))) + + conn_face_contour_ind = np.array(np.intersect1d(conn_point, img_contour_co_cur)) - 1 + + if 0 == conn_face_contour_ind.size: + continue + + # get the z coordinates of each connect face contour + z_coordinates = contour_all[2, conn_face_contour_ind] + img_contour[2, i] = np.mean(z_coordinates) + + contlist[-1] = img_contour + + + contour_all = contlist[0] + for i in range(1, len(contlist)): + contour_all = np.hstack([contour_all, contlist[i]]) + + bin = np.isinf(img_contour[2,:]) + invalid_co = np.where(True == bin) + + contlist[-1] = img_contour + # print(img_contour) + + #Showing the result + contour_all = contlist[0] + for i in range(1, len(contlist)): + contour_all = np.hstack([contour_all, contlist[i]]) + + ############################################################################################ + ######################## Finally refine the anchor depth with real depth ################### + ############################################################################################ + depth_ref = np.zeros((height, width, 1)) + depth_ref, tri_ind = ZBuffer(ProjectVertex_full, np.transpose(tri_full), np.expand_dims(ProjectVertexm_full[2,:], axis=0), depth_ref) + + # ZBuffer = sio.loadmat('./ZBuffer.mat') + # depth_ref = ZBuffer['depth_ref'] + # tri_ind = ZBuffer['tri_ind'] + + contour_all_ref = contour_all + # contlist_ref = contlist + contlist_new = contlist + + solid_depth_bin_list = [] + for i in range(len(contlist)): + temp = np.zeros((1, contlist[i].shape[1])) + solid_depth_bin_list.append(temp) + + solid_depth_bin_list[0] = np.ones((1, contlist[0].shape[1])) + + adjust_ind = list(range(3, 14)) + list(range(18, 30)) + for ai in range(len(adjust_ind)): + j = adjust_ind[ai] + count = 0 + for i in range(1, len(contlist_new) - 1): + ray = contlist_new[i][:, j] + x = int(round(ray[0])) - 1 + y = int(round(ray[1])) - 1 + if x < 0 or x > width - 1 or y < 0 or y > height - 1: + continue + + if tri_ind[y, x] == 0: + continue + + count = count + 1 + + if count < 2: + continue + + for i in range(1, len(contlist_new) - 1): + ray = contlist_new[i][:, j] + x = int(round(ray[0])) - 1 + y = int(round(ray[1])) - 1 + if x < 0 or x > width - 1 or y < 0 or y > height - 1: + continue + + if (tri_ind[y, x] == 0): + continue + + contlist_new[i][2, j] = depth_ref[y, x] + solid_depth_bin_list[i][0, j] = 1 + + solid_depth_bin = solid_depth_bin_list[0] + for i in range(1, len(solid_depth_bin_list)): + solid_depth_bin = np.hstack([solid_depth_bin, solid_depth_bin_list[i]]) + + # solid_depth_bin = logical(solid_depth_bin) + + contour_all_new = contlist_new[0] + for i in range(1, len(contlist_new)): + contour_all_new = np.hstack([contour_all_new, contlist_new[i]]) + + # finally refine non_solid contour + contour_all_z = AnchorAdjustment_Z(contour_all_new, contour_all_ref, 1 - solid_depth_bin, tri_all, img) + + contour_all_new[2,:] = contour_all_z[2,:] + + # DrawHeadMesh(contour_all_new, tri_all, contour_all_new(:, solid_depth_bin)); + + for i in range(len(contlist)): + # print(contour_all_new.shape) + contlist[i] = contour_all_new[:, 0: contlist[i].shape[1]] + contour_all_new = contour_all_new[:, contlist[i].shape[1]: contour_all_new.shape[1] + 1] + + print(contlist[-1].shape) + return contlist, tri_all, face_contour_ind \ No newline at end of file diff --git a/utility/ImageRotation.py b/utility/ImageRotation.py new file mode 100644 index 0000000..f8916b2 --- /dev/null +++ b/utility/ImageRotation.py @@ -0,0 +1,233 @@ +import numpy +from .param_parse import * +from .ImageMeshing import KeypointsWithPose +from .display_face_model import * + +def AnchorAdjustment_Rotate(all_vertex_src, all_vertex_ref, all_vertex_adjust, tri, anchor_flags, img): + + adjust_ind = np.where([anchor_flags == 2, anchor_flags == 3])[-1] + adjust_ind = np.sort(adjust_ind, axis=0) + + # height, width, nChannels = img.shape + + # we sovle the equation Y = AX + # where X is the(x, y) of outpoint_des + # Y and A represent relations between inpoints_src and outpoint_src + MAX_EQU_NUM = 2500 + Y_Equ = np.zeros((MAX_EQU_NUM, 1)) + A_Equ = np.zeros((MAX_EQU_NUM, 2 * adjust_ind.shape[0])) + equ_num = 0 + + for i in range(adjust_ind.shape[0]): + # for each outpoint + pt = adjust_ind[i] + + # find the corresponding tri + bin = np.in1d(tri[0, :], pt + 1) | np.in1d(tri[1, :], pt + 1) | np.in1d(tri[2, :], pt + 1) + bin = np.where(bin == True) + + # find connecting point + temp = np.squeeze(tri[:, bin], axis=1) + temp = np.reshape(temp, temp.shape[0] * temp.shape[1]) + connect = np.unique(temp) + connect = np.setdiff1d(connect, pt + 1) - 1 + for j in range(connect.shape[0]): + pt_con = connect[j] # the relationship of[pt, pt_con] + if anchor_flags[0, pt] == 2: + # if base point is a src point, prefer src relation + if (anchor_flags[0, pt_con] == 1): + # if connect to a base point, module the positions + x_new = all_vertex_src[0, pt] - all_vertex_src[0, pt_con] + all_vertex_adjust[0, pt_con] + y_new = all_vertex_src[1, pt] - all_vertex_src[1, pt_con] + all_vertex_adjust[1, pt_con] + + pt1 = np.where(adjust_ind == pt) + + A = np.zeros((1, 2 * adjust_ind.shape[0])) + A[0, (2 * pt1[0],)] = 1 + Y = x_new + A_Equ[equ_num, :] = A + Y_Equ[equ_num] = Y + equ_num = equ_num + 1 + + A = np.zeros((1, 2 * adjust_ind.shape[0])) + A[0, (2 * pt1[0] + 1,)] = 1 + Y = y_new + A_Equ[equ_num, :] = A + Y_Equ[equ_num] = Y + equ_num = equ_num + 1 + else:# (anchor_flags(pt_con) == 2 | | adjust_ind(pt_con) == 3) + # src - src and src - ref relationships: + # based on src relationship + x_offset = all_vertex_src[0, pt] - all_vertex_src[0, pt_con] + y_offset = all_vertex_src[1, pt] - all_vertex_src[1, pt_con] + + pt1 = np.where(adjust_ind == pt) + pt_con1 = np.where(adjust_ind == pt_con) + + A = np.zeros((1, 2 * adjust_ind.shape[0])) + A[0, (2 * pt1[0],)] = 1 + A[0, (2 * pt_con1[0],)] = -1 + Y = x_offset + A_Equ[equ_num, :] = A + Y_Equ[equ_num] = Y + equ_num = equ_num + 1 + + A = np.zeros((1, 2 * adjust_ind.shape[0])) + A[0, (2 * pt1[0] + 1,)] = 1 + A[0, (2 * pt_con1[0] + 1,)] = -1 + Y = y_offset + A_Equ[equ_num, :] = A + Y_Equ[equ_num] = Y + equ_num = equ_num + 1 + else: # (anchor_flags(pt) == 3) + # if it is a ref point, prefer ref relation + if anchor_flags[0, pt_con] == 1: + # if connect to a base point, module the positions + x_new = all_vertex_ref[0, pt] - all_vertex_ref[0, pt_con] + all_vertex_adjust[0, pt_con] + y_new = all_vertex_ref[1, pt] - all_vertex_ref[1, pt_con] + all_vertex_adjust[1, pt_con] + + pt1 = np.where(adjust_ind == pt) + + A = np.zeros((1, 2 * adjust_ind.shape[0])) + A[0, (2 * pt1[0],)] = 1 + Y = x_new + A_Equ[equ_num, :] = A + Y_Equ[equ_num] = Y + equ_num = equ_num + 1 + + A = np.zeros((1, 2 * adjust_ind.shape[0])) + A[0, (2 * pt1[0] + 1,)] = 1 + Y = y_new + A_Equ[equ_num, :] = A + Y_Equ[equ_num] = Y + equ_num = equ_num + 1 + else: # if (adjust_ind(j) == 3) + # ref - ref relationships: + # based on ref relationship + x_offset = all_vertex_ref[0, pt] - all_vertex_ref[0, pt_con] + y_offset = all_vertex_ref[1, pt] - all_vertex_ref[1, pt_con] + + pt1 = np.where(adjust_ind == pt) + pt_con1 = np.where(adjust_ind == pt_con) + + A = np.zeros((1, 2 * adjust_ind.shape[0])) + A[0, (2 * pt1[0],)] = 1 + A[0, (2 * pt_con1[0],)] = -1 + Y = x_offset + A_Equ[equ_num,:] = A + Y_Equ[equ_num] = Y + equ_num = equ_num + 1 + + A = np.zeros((1, 2 * adjust_ind.shape[0])) + A[0, (2 * pt1[0] + 1,)] = 1 + A[0, (2 * pt_con1[0] + 1,)] = -1 + Y = y_offset + A_Equ[equ_num, :] = A + Y_Equ[equ_num] = Y + equ_num = equ_num + 1 + + A_Equ = A_Equ[0:equ_num, :] + Y_Equ = Y_Equ[0:equ_num] + + # get the new position + X = np.squeeze(np.linalg.lstsq(A_Equ, Y_Equ)[0]) + + all_vertex_adjust[0: 2, adjust_ind] = np.transpose(np.reshape(X, (int(X.shape[0] / 2), 2))) + all_vertex_adjust[2, adjust_ind] = all_vertex_ref[2, adjust_ind] + + return all_vertex_adjust + +def ImageRotation(contlist_src, bg_tri, vertex, tri, face_contour_ind, isoline_face_contour, Pose_Para_src, Pose_Para_ref, img): + height, width, nChannels = img.shape + f, phi, gamma, theta, t3d= ParaMap_Pose(Pose_Para_src) + f_ref, phi_ref, gamma_ref, theta_ref, t3d_ref = ParaMap_Pose(Pose_Para_ref) + + ProjectVertex_ref = np.matmul(f_ref * RotationMatrix(phi_ref, gamma_ref, theta_ref), vertex) + np.tile(np.expand_dims(t3d_ref, 1), (1, vertex.shape[1])) + ProjectVertex_ref[1, :] = height + 1 - ProjectVertex_ref[1, :] + + all_vertex = contlist_src[0] + for i in range(1, len(contlist_src)): + all_vertex = np.hstack([all_vertex, contlist_src[i]]) + + all_vertex_src = all_vertex + + ## 1. get the preliminary position on the ref frame + all_vertex[1, :] = height + 1 - all_vertex[1, :] + + # The fitting fomula: f * R * vertex + t3d = ProjectVertex + # Thus: vertex = (1 / f) * R. ^ (-1) * (ProjectVertex - t3d) + R = RotationMatrix(phi, gamma, theta) + all_vertex_ref = np.matmul((1 / f) * np.linalg.inv(R), (all_vertex - np.tile(np.expand_dims(t3d, axis=1), (1, all_vertex.shape[1])))) + + # Go to the reference position + R_ref = RotationMatrix(phi_ref, gamma_ref, theta_ref) + all_vertex_ref = np.matmul(f * R_ref, all_vertex_ref) + np.tile(np.expand_dims(t3d_ref, 1), (1, all_vertex_ref.shape[1])) + all_vertex_ref[1, :] = height + 1 - all_vertex_ref[1, :] + all_vertex[1, :] = height + 1 - all_vertex[1, :] + + # DrawSolidHead(all_vertex, bg_tri) + + # DrawSolidHead(all_vertex_ref, bg_tri); + + ## 2.Landmark marching + if gamma > 0: + face_contour_modify = np.hstack([np.array(range(8)), np.array(range(24, 30))]) + else: + face_contour_modify = np.array(range(9, 23)) + + adjust_ind = np.hstack([np.array(range(3, 14)), np.array(range(18, 30))]) + gamma_delta = gamma_ref - gamma + gamma_temp = gamma + gamma_delta / 2.5 + face_contour_ind = KeypointsWithPose(phi_ref, gamma_temp, theta_ref, vertex, tri, isoline_face_contour, face_contour_ind, face_contour_modify) + face_contour_ind2 = KeypointsWithPose(phi_ref, gamma, theta_ref, vertex, tri, isoline_face_contour, face_contour_ind + 1, face_contour_modify) + face_contour_ind[0, adjust_ind] = face_contour_ind2[0, adjust_ind] + face_contour_ref = np.squeeze(ProjectVertex_ref[:, face_contour_ind], axis=1) + + all_vertex_adjust = np.zeros(all_vertex_ref.shape) + all_vertex_adjust[:, 0: face_contour_ref.shape[1]] = face_contour_ref + + # DrawSolidHead(ProjectVertex_ref, tri, face_contour_ref); + + # imshow(img); + # hold on; + # plot(face_contour_ref(1,:), face_contour_ref(2,:), 'b.'); + # hold off; + + # 5. Rotate other img contour + src_seq = face_contour_modify # favor relationships on src + ref_seq = np.setdiff1d(np.array(range(face_contour_ind.shape[1])), src_seq) # face relationships on ref + + # 1 for solid anchor; 2 for src anchor; 3 for ref anchor + anchor_flags_list = [] + + for i in range(len(contlist_src)): + flags = np.zeros((1, contlist_src[i].shape[1])) + if i == 0 : + # the face contour, all are solid anchors + flags[0, :] = 1 + elif i == len(contlist_src) - 1: + # the image contour, all are src anchors + flags[0, :] = 2 + else: + # middle points + flags[0, src_seq] = 2 + flags[0, ref_seq] = 3 + anchor_flags_list.append(flags) + + anchor_flags = anchor_flags_list[0] + print(anchor_flags.shape) + for i in range(1, len(anchor_flags_list)): + anchor_flags = np.hstack([anchor_flags, anchor_flags_list[i]]) + + all_vertex_adjust = AnchorAdjustment_Rotate(all_vertex_src, all_vertex_ref, all_vertex_adjust, bg_tri, anchor_flags, img) + # print(all_vertex_adjust) + + # trisurf2D(all_vertex_adjust, bg_tri, img) + + contlist_ref = [] + for i in range(len(contlist_src)): + contour = all_vertex_adjust[:, 0: contlist_src[i].shape[1]] + contlist_ref.append(contour) + all_vertex_adjust = all_vertex_adjust[:, contlist_src[i].shape[1]: all_vertex_adjust.shape[1]] + # print(contour) + return contlist_ref, t3d_ref \ No newline at end of file diff --git a/utility/ModelCompletionBFM.py b/utility/ModelCompletionBFM.py new file mode 100644 index 0000000..3ae5228 --- /dev/null +++ b/utility/ModelCompletionBFM.py @@ -0,0 +1,63 @@ +import scipy.io as sio +import numpy as np +import sys +from .param_parse import * +from .FittingModel3D_validpoint import * + +def ModelCompletionBFM(ProjectVertex, tri, Model_FWH): + Model_Completion = sio.loadmat('./models/Model_Completion.mat') + indf_c = Model_Completion['indf_c'] + indf_c2b = Model_Completion['indf_c2b'] - 1 + trif_stitch = Model_Completion['trif_stitch'] + trif_backhead = Model_Completion['trif_backhead'] + + muf = np.squeeze(Model_FWH['mu'], axis=0)[0] + wf = np.squeeze(Model_FWH['w'], axis=0)[0] + # trif = Model_FWH['tri'] + + # print('indf_c2b', indf_c2b) + ProjectVertex_c2b = np.squeeze(ProjectVertex[indf_c2b, :], axis=1) + # print(ProjectVertex_c2b) + + [f, phi, gamma, theta, t, alpha] = FittingModel3D_validpoint(ProjectVertex_c2b, Model_FWH, indf_c) + # print('muf', muf.shape) + # print('wf', wf.shape) + # print('alpha', alpha.shape) + vertexf = muf + np.matmul(wf, alpha) + vertexf = np.reshape(vertexf , (int(vertexf.shape[0] / 3), 3)) + + ProjectVertexf = np.matmul(f * RotationMatrix(phi, gamma, theta), np.transpose(vertexf)) + np.transpose(np.tile(t, (vertexf.shape[0], 1))) + ProjectVertex_full = np.vstack((ProjectVertex, np.transpose(ProjectVertexf))) + # print('ProjectVertex_full', ProjectVertex_full.shape) + tri_full = np.hstack((tri, trif_backhead, trif_stitch)) + tri_full = np.transpose(tri_full) + # print('tri_full', tri_full.shape) + #blend + iteration = 1 + + vertex_blend = ProjectVertex_full + stitch_point = np.unique(trif_stitch) + # print('stitch_point', stitch_point.shape) + for iter in range(iteration): + #iter + vertex_temp = vertex_blend + for i in range(stitch_point.shape[0]): + #i + ind = stitch_point[i] # blur the ith ind + # print(ind) + conn_tri = np.where(tri_full[:, 0] == ind, 1, 0) | np.where(tri_full[:, 1] == ind, 1, 0) | np.where(tri_full[:, 2] == ind, 1, 0) + conn_tri = np.squeeze(tri_full[np.where(1 == conn_tri), :], axis=0) + conn_point = np.unique(conn_tri) - 1 + # print(conn_point) + # print(vertex_blend.shape) + # print(vertex_blend[conn_point, :].shape) + # print(np.mean(vertex_blend[conn_point, :], axis=0)) + # assert 0 + vertex_temp[ind - 1, :] = np.mean(vertex_blend[conn_point, :], axis=0) + vertex_blend = vertex_temp + + ProjectVertex_full = vertex_blend + # print(ProjectVertex_full) + + return ProjectVertex_full, tri_full + diff --git a/utility/__pycache__/FittingModel3D_validpoint.cpython-36.pyc b/utility/__pycache__/FittingModel3D_validpoint.cpython-36.pyc new file mode 100644 index 0000000..0339aa7 Binary files /dev/null and b/utility/__pycache__/FittingModel3D_validpoint.cpython-36.pyc differ diff --git a/utility/__pycache__/ImageMeshing.cpython-36.pyc b/utility/__pycache__/ImageMeshing.cpython-36.pyc new file mode 100644 index 0000000..74faa01 Binary files /dev/null and b/utility/__pycache__/ImageMeshing.cpython-36.pyc differ diff --git a/utility/__pycache__/ImageRotation.cpython-36.pyc b/utility/__pycache__/ImageRotation.cpython-36.pyc new file mode 100644 index 0000000..a4fc46e Binary files /dev/null and b/utility/__pycache__/ImageRotation.cpython-36.pyc differ diff --git a/utility/__pycache__/ModelCompletionBFM.cpython-36.pyc b/utility/__pycache__/ModelCompletionBFM.cpython-36.pyc new file mode 100644 index 0000000..539955d Binary files /dev/null and b/utility/__pycache__/ModelCompletionBFM.cpython-36.pyc differ diff --git a/utility/__pycache__/display_face_model.cpython-36.pyc b/utility/__pycache__/display_face_model.cpython-36.pyc new file mode 100644 index 0000000..57756db Binary files /dev/null and b/utility/__pycache__/display_face_model.cpython-36.pyc differ diff --git a/utility/__pycache__/param_parse.cpython-36.pyc b/utility/__pycache__/param_parse.cpython-36.pyc new file mode 100644 index 0000000..077187e Binary files /dev/null and b/utility/__pycache__/param_parse.cpython-36.pyc differ diff --git a/utility/display_face_model.py b/utility/display_face_model.py new file mode 100644 index 0000000..f268cfd --- /dev/null +++ b/utility/display_face_model.py @@ -0,0 +1,10 @@ + +import matplotlib.pyplot as plt +from mpl_toolkits.mplot3d import Axes3D +import numpy as np + +def DrawSolidHead(vertex, tri): + fig = plt.figure() + ax = fig.gca(projection='3d', azim=90, elev=90) + ax.plot_trisurf(vertex[0, :], vertex[1, :], vertex[2, :], triangles=tri) + plt.show() \ No newline at end of file diff --git a/utility/param_parse.py b/utility/param_parse.py new file mode 100644 index 0000000..126aa8c --- /dev/null +++ b/utility/param_parse.py @@ -0,0 +1,35 @@ +import numpy as np + +def ParaMap_Pose(para_Pose): + phi = para_Pose[0][0] + gamma = para_Pose[0][1] + theta = para_Pose[0][2] + t3dx = para_Pose[0][3] + t3dy = para_Pose[0][4] + t3dz = para_Pose[0][5] + f = para_Pose[0][6] + + t3d = np.array([t3dx, t3dy, t3dz]) + + return f, phi, gamma, theta, t3d + +def RotationMatrix(angle_x, angle_y, angle_z): + #get rotation matrix by rotate angle + phi = angle_x + gamma = angle_y + theta = angle_z + + R_x = np.array([[1, 0, 0 ], + [0, np.cos(phi), np.sin(phi)], + [0, -np.sin(phi), np.cos(phi)]]) + + R_y = np.array([[np.cos(gamma), 0, -np.sin(gamma)], + [0, 1, 0], + [np.sin(gamma), 0, np.cos(gamma)]]) + + R_z = np.array([[np.cos(theta), np.sin(theta), 0], + [-np.sin(theta), np.cos(theta), 0], + [0, 0, 1]]) + + R = np.matmul(np.matmul(R_x, R_y), R_z) + return R \ No newline at end of file