diff --git a/.ipynb_checkpoints/Untitled-checkpoint.ipynb b/.ipynb_checkpoints/Untitled-checkpoint.ipynb new file mode 100644 index 00000000..78b02e5c --- /dev/null +++ b/.ipynb_checkpoints/Untitled-checkpoint.ipynb @@ -0,0 +1,155 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "1575d33c-13ed-4d69-b61c-904d8f53b235", + "metadata": {}, + "outputs": [], + "source": [ + "from matplotlib import pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "fabbf749-b4a9-4cdb-bfa1-6cc30d1ad03b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot([1,2,3,4,5,6,7,8,9,10,11,12],[200,390,510,620,707,785,840,910,963,1003,1043,1076],c='k',label='sort')\n", + "plt.plot([1,2,3,4,5,6,7,8,9,10,11,12],[113,224,309,380,437,492,531,569,601,628,651,670],c='r',label='naive')\n", + "plt.xlabel('depth')\n", + "plt.ylabel('time elapsed per iteration (ms) ')\n", + "plt.legend()\n", + "plt.savefig('1.png',dpi=1200)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "82335942-a9ae-4630-8420-61cbc2fd0f58", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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YQkVjzApjzGFjzD/TFxdmFLlOQEAAu3btYsaMGXzxxRfUrFmT8PBwUlK011LEXbJSCu8As0k9jtACWAS8745QIul8fX0ZNGgQhw8fpnXr1rzyyisEBgayfft2p6OJeKWslEJBa+1mUnc5fW2tDQWecE8skeuVL1+e1atX89FHH/Hjjz/StGlTOnXqpGsbRFwsK6WQZIzxARKMMS8bYzoDpd2US+SWOnfuzNGjR3nttdfYsmULtWrV4sUXX+S7775zOpqIV8hKKQwFCgGDgQZAT+AFd4QSuZNChQoxZswYjh07xsCBA1mwYAF+fn6EhoZy/vx5p+OJeLRMl4K1dp+19jzwP2CwtbaLtXa3+6KJ3NkDDzzA9OnTOXLkCE899RRhYWH4+fkxZ84cHYwWuUdZuZ9CoDHmEHAQOGSM+coY08B90UQyx8/Pj2XLlrF79278/f0ZMGAAtWrV4uOPP9b1DSJZlJXdRwuBl6y1Fa21FYGBpJ6RJJIjNGrUiM8//5yPP/4YYwydOnWiadOm7N6tAa1IZmWlFM5ZazPOA7TW7gDOuT6SyL0zxtCxY0cOHTrE22+/TUJCAo0bN6Zbt24kJCQ4HU8kx8tKKew1xrxtjGlujGlmjJlF6v0V6htj6rsroMi9yJMnDyEhISQmJhIWFsbf//53atSowaBBgzh16pTT8URyrKxMc7H1Di9ba60j1yxomgvJjO+++46wsDDmzZtHoUKFGD16NMOGDaNQoUJORxNxxO2much0KWTiA16w1r7nkjfLApWCZEVcXBxjxoxh9erVlC1blokTJ/LCCy/g6+vrdDSRbOWKuY/uZogL30vELapVq8aqVavYvn07FSpUoE+fPtStW5cNGzboTCURXFsKxoXvJeJWjz/+ODt37mT58uVcvnyZdu3a8eSTT6JRp+R2riwF/ZolHsUYQ9euXYmNjWXmzJkcOnSIhg0b8vzzz3P8+HGn44k4QiMFyfXy5cvHyy+/zLFjxxg7diyrV6+matWqDB8+nNOnTzsdTyRbubIUvnDhe4lku2LFijFp0iQSEhLo1asX06dPp3Llyrz++uskJSU5HU8kW2TllNT7gF5ARSBP+npr7WC3JMsknX0k7hITE8Po0aPZsGEDFSpUYNKkSXTv3h0fH1f+LiXiDFecfbSB1EI4xPX3ahbxSrVq1WL9+vVs3ryZUqVK0atXLwIDA9m8ebPT0UTcJiulUMBaO9xa+4619r30xW3J7sIY08EYM/fs2bNORZBc4oknnmDfvn0sXryY06dP07JlS9q2bcuhQ4ecjibiclkphfeNMf2MMWWMMfenL25LdhfW2rXW2pDixYs7FUFyER8fH7p37058fDzh4eHs3r2bgIAA+vTpw7fffut0PBGXyUop/AyEA7v4ZdeRduZLrlKgQAFGjhxJYmIiQ4YM4f3336dKlSq8+uqr/O9//3M6nsivlpVSGA74pU2dXSltedhdwURyspIlSxIREUF8fDxPP/00kydPxs/Pj1mzZpGcnOx0PJF7lpVSiAUuuiuIiCeqVKkSkZGR7Nmzh+rVqzNw4EBq1arFqlWrNG2GeKSslMIVIDpt+uwZ6Yu7gol4kkceeYTPPvuMNWvW4OPjQ5cuXXSDH/FIWSmF1cBkYCc6JVXkJsYYOnTowKFDh5gzZ851N/hJTEx0Op5Iprhs6myn6OI1yanOnz/PtGnTCA8PJzk5mQEDBjBu3DhKlSrldDSRX3/xmjHmuDHmnzcuro0p4j2KFClCaGgoiYmJBAcH89e//pXKlSszZcoULl265HQ8kVvKyu6jQKBh2tIEmAEsdkcoEW9SpkwZ5s6dy6FDh2jatCljxoyhatWqLFq0iKtXrzodT+Q6mS4Fa+3pa5ZvrbVvAY7cglPEE9WoUYO1a9eydetWSpcuzQsvvED9+vX59NNPnY4mkiEru4/qX7MEGmNeBIq6MZuIV2revDl79+7lgw8+4OzZs7Ru3Zo2bdpw8OBBp6OJZGn30RvAtLTlNaA+0M0doUS8nY+PD8899xxxcXFMmzaNPXv2EBAQQO/evTl58qTT8SQXy0optAUWAJtJvXfCt8Dv3RFKJLfInz8/I0aM4NixYwwfPpwPPvgAf39/xo8fz/nz552OJ7lQVq9T6AAkA+fTlgvuCCWS29x///1MmzaNuLg4OnbsyIQJE/D392fhwoVcuXLF6XiSi2SlFMpZa39vrX3dWvtG+uK2ZCK5UKVKlVi6dCk7d+7kN7/5DX369KFBgwa6h4Nkm6yUwk5jTG23JRGRDI0bN2bnzp0sXbqUM2fO0LJlSzp06EBcXJzT0cTLZaUUHgeijDHxxpiDxphDxhidLiHiJsYYfve73xEXF8eUKVP4/PPPqVWrFoMGDeLHH390Op54qaweaK4CtCb12EL7tK8i4kYFChRg9OjRJCYmEhISwqxZs/Dz82PatGlcvnzZ6XjiZbJy8drXt1rcGU5EflG6dGlmzZrFwYMHefTRRxk1ahTVq1dnxYoVmqZbXCYrIwURyQFq1qzJhg0b2LhxI4ULF6Zbt240adKEvXv3Oh1NvIBKQcRDtW7dmujoaObOnUtiYiKNGjWie/funDhxwulo4sFUCiIezNfXl379+pGQkMDYsWP56KOPqFq1KmPHjuXcuXNOxxMPpFIQ8QJFixZl0qRJxMfH88wzz/Daa6/h5+fH3LlzSUlJcTqeeBCVgogXqVChAosXL2bPnj1UqVKF/v37U69ePTZt2uR0NPEQKgURL/TII4+wfft2VqxYwcWLFwkKCqJt27bExsY6HU1yOJWCiJcyxvDMM89w+PBhpk2bxq5du6hTpw4DBgzg1KlTTseTHEqlIOLl0mdiTUxMZODAgcybNw8/Pz+mTJlCUlKS0/Ekh1EpiOQSpUqVYsaMGcTExNC8eXPGjBlDtWrViIyM1MVvkkGlIJLLVKtWjTVr1rB582ZKlCjB888/nzEBn4hKQSSXeuKJJ9i/fz8LFy7kxIkTPPbYY3Tr1o1jx445HU0cpFIQycV8fX3p3bs3CQkJhIaGsmHDBqpXr86IESP46aefnI4nDlApiAiFCxdm/PjxJCQk0LNnT9588038/PyYMWMGycnJTseTbKRSEJEMZcuWZcGCBXz55ZfUq1ePIUOGULNmTVavXq2D0bmESkFEbhIQEMCnn37KunXr8PX1pXPnzrRo0YKoqCino4mbqRRE5JaMMbRr146DBw/yt7/9jdjYWAIDA+nVqxfffPON0/HETVQKInJHefPm5aWXXiIxMZHRo0ezbNky/P39efXVVzUTqxdSKYhIphQvXpwpU6YQFxdHp06dmDx5MlWqVGHevHlcuXLF6XjiIioFEcmSihUrEhkZye7du6lcuTIhISEEBASwceNGp6OJC6gUROSeNGrUiB07drB8+XIuXrxImzZtNBOrF1ApiMg9M8bQtWvXm2Zi7d+/P99//73T8eQeqBRE5FdLn4n12LFjvPzyyyxcuBA/Pz8mT57MpUuXnI4nWaBSEBGXKVmyJNOnTyc2NpaWLVvy6quv4u/vz+LFi7l69arT8SQTVAoi4nL+/v6sWrWKzz77jNKlS9OzZ08aNWrEtm3bnI4md6FSEBG3adasGfv27WPRokV89913NGvWjGeeeUYzseZgKgURcSsfHx969uxJfHw8EydOZOPGjVSvXp2RI0dy5swZp+PJDVQKIpItChUqxKuvvsrRo0fp0aMHERER+Pn58be//Y2UlBSn40kalYKIZKuyZcuycOFCoqKiqF27Ni+//DJ16tTh73//u2ZizQFUCiLiiHr16rFlyxZWrVpFcnIyTz31FG3atCEmJsbpaLmaSkFEHGOMoVOnTsTGxhIREcHevXupW7cuL774IqdOnXI6Xq6kUhARx+XLl49hw4aRmJjIwIEDmT9/PlWqVOH1118nKSnJ6Xi5ikpBRHKMkiVLMmPGDGJiYmjSpAmjR4+mRo0aLF++XMcbsolKQURynGrVqrFu3To2bdpEkSJFePbZZ2nSpAn79u1zOprXUymISI7VqlUrDhw4wNy5c0lISOCRRx6hZ8+enDx50uloXkulICI5mq+vL/369SMhIYExY8awfPly/P39+fOf/8z58+edjud1VAoi4hGKFSvGa6+9RlxcHB07dmTixIn4+/vz7rvvarI9F1IpiIhHqVixIkuXLmXnzp1UqFCB3r17ExgYyOeff+50NK+gUhARj9S4cWN27tzJkiVL+PHHH2nevDldunQhMTHR6WgeTaUgIh7Lx8eH559/nvj4eCZNmsSmTZuoUaMGI0aM0GR790ilICIer2DBgowdO5aEhAR69erFm2++iZ+fHzNnziQ5OdnpeB4lR5WCMaa5MWa7MWaOMaa503lExLOUKVOG+fPnc+DAAerWrcvgwYOpVasWH3/8sS5+yyS3l4IxZqEx5pQxJuaG9W2MMfHGmERjzB/TVlvgPFAA0InIInJP6tatyz/+8Q/Wrl2Lj48PnTp1okWLFuzfv9/paDledowU3gXaXLvCGOML/A1oC9QAnjPG1AC2W2vbAqOBsGzIJiJeyhhD+/btOXjwILNmzeLw4cM0bNiQnj17cuLECafj5VgmO4ZUxpiKwDprba20542BUGttUNrzMQDW2r+kPc8HfGCt7Xqb9wsBQgAqVKjQ4Ouvv77u9eTkZE6ePJlrJtIqUKAA5cqVI2/evE5HEcmxzp49y9SpU4mIiMAYw7Bhw/jjH/9IsWLFnI7mCGNMlLU28Kb1DpVCV6CNtbZv2vOeQCNgCxAE3AfMttZ+drf3DgwMtDcOCY8fP07RokUpWbIkxhgXbknOY63l9OnTnDt3jkqVKjkdRyTHO3HiBGPHjmXx4sU88MADhIWF0a9fP/LkyeN0tGx1u1Jw6kDzrX5SW2vtR9ba/tba32WmEG4nKSkpVxQCpA6RS5YsmWtGRSK/VoUKFXj//ffZt28f1atX56WXXqJ27dqsW7dOB6NxrhROAuWveV4O+LcrPyA3FEK63LStIq4SGBjIZ599xurVq7l69SodOnSgZcuWHDhwwOlojnKqFPYBVYwxldKOH/weWONQFhHJpYwxPP3008TExDBz5ky++uorGjRoQHBwcK6diTU7TkmNBHYBVY0xJ40xfay1KcDLwEbgCLDMWhvr7iwiIreSN29eXn75ZRITExk1ahSRkZH4+/szbtw4zp0753S8bOX2UrDWPmetLWOtzWutLWetXZC2foO11t9aW9laO9ndOURE7ua+++5j6tSpxMfH8/TTTzNp0iSqVKnC3LlzSUlJcTpetvD6w+1Dhw4lOjrape8ZEBDAW2+9dcfviYiIYOHChQD07duXTp060aZNGxo1asSBAwfw9/dn0aJFFCpUiKioKIYPH8758+cpVaoU7777LmXKlKF58+Y0atSIrVu3cubMGRYsWECTJk1cui0icrOKFSsSGRnJ0KFDGTFiBP3792fGjBmEh4fTpk0brz6Ol6OmufAWUVFRvPPOO+zZs4fdu3czb948fvrpJ+Lj4wkJCeHgwYMUK1aMWbNmkZyczKBBg1ixYgVRUVH84Q9/YOzYsRnvlZKSwt69e3nrrbcIC9P1fCLZqVGjRmzfvp2VK1dy+fJlnnrqKYKCgvjqq6+cjuY2Xj9SuNtv9O6wY8cOOnfuTOHChQHo0qUL27dvp3z58jz22GMA9OjRgxkzZtCmTRtiYmJo1aoVAFeuXKFMmTIZ79WlSxcAGjRowL/+9a/s3RARwRhDly5daN++PbNnzyYsLIx69erRu3dvJk6cSNmyZZ2O6FIeO1IwxnQwxsw9e/as01FucrtznW8cchpjsNZSs2ZNoqOjiY6O5tChQ2zatCnje/Lnzw+k3pIwt+zTFMmJ8uXLx5AhQzh27BjDhg3j/fffp0qVKoSGhnrVbUE9thSstWuttSHFixd3OspNmjZtyurVq7l48SIXLlxg1apVNGnShBMnTrBr1y4AIiMjefzxx6latSo//PBDxvrk5GRiY3UilkhOVaJECd544w3i4uJo3749YWFh+Pv7s2DBAq5cueJ0vF/NY0shJ6tfvz7BwcE88sgjNGrUiL59+1KiRAmqV6/Oe++9R506dfjvf//LgAEDyJihV0EAAAmkSURBVJcvHytWrGD06NHUrVuXgIAAdu7c6fQmiMhdPPzww3z44Yfs3LmTihUr0rdvX+rVq3fdSN8TZcvcR+50q7mPjhw5QvXq1R1KdGv/+te/aN++PTExMXf/5nuQE7dZJLew1mb8cnf8+HGCgoIIDw+ndu3aTke7rZw295GIiNcwxtCtWzeOHDlCREQEe/fuJSAggL59+/Lvf7t0Bh+3Uylkk4oVK7ptlCAiOUP+/PkZNmwYiYmJDBkyhEWLFnncwWiVgoiIi91///1ERERw5MgR2rVr51EHo1UKIiJuUrlyZZYtW3bdweiAgAA2btzodLTbUimIiLhZ48aN+eKLL1i+fDkXL16kTZs2BAUFcfDgQaej3USlICKSDYwxdO3alcOHD/Pmm2+yb98+AgIC6NOnT446GO2xpZCTr2i+ldDQUKZNm+Z0DBFxWP78+Rk6dOhNV0aPHz8+RxyM9thSyMlXNIuI3M2NV0ZPmDCBKlWqMG/ePEcPRnv9hHgMHQounjqbgAC4y0R7ixYtYtq0aRhjqFOnDpUrV854LTo6mhdffJGLFy9SuXJlFi5cSIkSJZgxYwZz5swhT5481KhRg6VLl3LhwgUGDRrEoUOHSElJITQ0lKefftq12yMijkm/Mnro0KGMHDmSkJCQjGm6g4KCsn2abo8dKeRksbGxTJ48mS1btvDVV18xffr0617v1asXU6dO5eDBg9SuXTtjSuwpU6Zw4MABDh48yJw5cwCYPHkyTzzxBPv27WPr1q2MGjWKCxcuZPs2iYh7NW7cmB07drBixQouXbpE27ZtHZmm2/tHCg5Mnb1lyxa6du1KqVKlgNRzltOdPXuWM2fO0KxZMwBeeOEFunXrBkCdOnXo3r07nTp1olOnTgBs2rSJNWvWZByPSEpK4sSJE5rSQsQLGWN45pln6NChA7NmzWLChAnUq1eP4OBgJk6cyEMPPeT2DBopuIG19p6GfOvXr2fgwIFERUXRoEEDUlJSsNaycuXKjKm1VQgi3i9fvnwZB6OHDx/OkiVL8Pf3z5aD0SoFN3jyySdZtmwZp0+fBuC///1vxmvFixenRIkSbN++HYD333+fZs2acfXqVb755htatGjB66+/zpkzZzh//jxBQUHMnDkz4x4NBw4cyP4NEhFHlChRgmnTpnHkyBE6dOjAhAkT8PPzY968eW67v4pKwQ1q1qzJ2LFjadasGXXr1mX48OHXvf7ee+8xatQo6tSpQ3R0NH/+85+5cuUKPXr0oHbt2tSrV49hw4Zx3333MW7cOJKTk6lTpw61atVi3LhxDm2ViDjl4YcfZunSpezatYvKlSsTEhJCQEAAX3/9tcs/S1Nne4ncuM0iuZG1lo8++oj33nuPjz76iDx57u3QsKbOFhHxAukHo9esWXPPhXAnKgUREcngtaXg6bvFsiI3bauIuJdXlkKBAgU4ffp0rvhhaa3l9OnTFChQwOkoIuIFPPbiNWNMB6CDn5/fTa+VK1eOkydP8sMPP2R/MAcUKFCAcuXKOR1DRLyAV559JCIid6azj0RE5K5UCiIikkGlICIiGTz+mIIx5gfA9dd6u0cp4EenQ7iJts1zefP2adtu7zfW2gduXOnxpeBJjDH7b3Vgxxto2zyXN2+fti3rtPtIREQyqBRERCSDSiF7zXU6gBtp2zyXN2+fti2LdExBREQyaKQgIiIZVAoiIpJBpeBmxpjyxpitxpgjxphYY8wQpzO5mjHG1xhzwBizzuksrmaMuc8Ys8IYE5f2/7Cx05lcxRgzLO3vZIwxJtIY49FT7RpjFhpjThljYq5Zd78x5lNjTELa1xJOZrxXt9m28LS/lweNMauMMfe54rNUCu6XAoyw1lYHfgsMNMbUcDiTqw0Bjjgdwk2mA59Ya6sBdfGS7TTGPAQMBgKttbUAX+D3zqb61d4F2tyw7o/AZmttFWBz2nNP9C43b9unQC1rbR3gKDDGFR+kUnAza+1/rLVfpj0+R+oPlYecTeU6xphyQDtgvtNZXM0YUwxoCiwAsNb+bK0942wql8oDFDTG5AEKAf92OM+vYq3dBvz3htVPA++lPX4P6JStoVzkVttmrd1krU1Je7obcMn8+SqFbGSMqQjUA/Y4m8Sl3gJeAa46HcQNHgZ+AN5J2z023xhT2OlQrmCt/RaYBpwA/gOctdZucjaVWzxorf0PpP6CBpR2OI+7/AH4uyveSKWQTYwxRYCVwFBr7f+czuMKxpj2wClrbZTTWdwkD1AfmG2trQdcwHN3P1wnbd/600AloCxQ2BjTw9lUci+MMWNJ3U29xBXvp1LIBsaYvKQWwhJr7UdO53Ghx4COxph/AUuBJ4wxi52N5FIngZPW2vSR3QpSS8IbtASOW2t/sNYmAx8BjzqcyR2+N8aUAUj7esrhPC5ljHkBaA90ty666Eyl4GbGGEPqPukj1toIp/O4krV2jLW2nLW2IqkHKbdYa73mt01r7XfAN8aYqmmrngQOOxjJlU4AvzXGFEr7O/okXnIQ/QZrgBfSHr8AfOxgFpcyxrQBRgMdrbUXXfW+KgX3ewzoSepv0dFpy1NOh5JMGwQsMcYcBAKA1xzO4xJpo58VwJfAIVJ/Fnj0lBDGmEhgF1DVGHPSGNMHmAK0MsYkAK3Snnuc22zbX4GiwKdpP1fmuOSzNM2FiIik00hBREQyqBRERCSDSkFERDKoFEREJINKQUREMqgURLLIGBNqjBl5D38u4NrTke/1fUTcSaUgkn0CAF2jIjmaSkEkE4wxY40x8caYfwBV09ZVNsZ8YoyJMsZsN8ZUS1v/rjFmTtq6o8aY9saYfMAE4HdpFxr9Lu2taxhjPjPG/NMYM9iZrRP5RR6nA4jkdMaYBqRO41GP1H8zXwJRpF4B/KK1NsEY0wiYBTyR9scqAs2AysBWwA/4M6n3L3g57X1DgWpAC1KvTI03xsxOm4tIxBEqBZG7awKsSp9fxhizBihA6gRyy1OnDgIg/zV/Zpm19iqQYIz5J6k//G9lvbX2MnDZGHMKeJDUifhEHKFSEMmcG+eD8QHOWGsDMvn9t5tP5vI1j6+gf5PiMB1TELm7bUBnY0xBY0xRoANwEThujOkGqbPhGmPqXvNnuhljfIwxlUm9WU88cI7U3UQiOZZKQeQu0m6n+iEQTep9MbanvdQd6GOM+QqIJfWmNenigc9JvRvWi9baJFKPLdS44UCzSI6iWVJFXMwY8y6wzlq7wuksIlmlkYKIiGTQSEFERDJopCAiIhlUCiIikkGlICIiGVQKIiKSQaUgIiIZ/h+gZG0l5PZs6wAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.semilogy([1,2,3,4,5,6,7,8,9,10,11,12],[640000,522832,366226,289715,239408,202863,171772,144925,122351,103123,87129,73653],c='k',label='open')\n", + "plt.semilogy([1,2,3,4,5,6,7,8,9,10,11,12],[640000,628992,625559,616446,608316,600691,591141,582576,573626,566654,558764,550745],c='r',label='close')\n", + "plt.xlabel('depth')\n", + "plt.ylabel('num_path')\n", + "plt.legend()\n", + "plt.savefig('2.png',dpi=1200)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "c8fb224d-0e96-40ca-aae8-00349627307a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot([1,3,5,7],[121,351,573,796],c='k',label='naive')\n", + "plt.plot([1,3,5,7],[26,256,473,706],c='r',label='cache')\n", + "plt.xlabel('depth')\n", + "plt.ylabel('time elapsed per iteration (ms)')\n", + "plt.legend()\n", + "plt.savefig('3.png',dpi=1200)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "bde46181-430e-4700-b684-a56b826e9155", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot([1,3,5,7],[118,310,446,531],c='k',label='naive')\n", + "plt.plot([1,3,5,7],[27,226,356,447],c='r',label='cache')\n", + "plt.xlabel('depth')\n", + "plt.ylabel('time elapsed per iteration (ms)')\n", + "plt.legend()\n", + "plt.savefig('4.png',dpi=1200)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d6199d40-aa42-44fd-9da9-7abbd1a522fe", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/1.png b/1.png new file mode 100644 index 00000000..15bf2575 Binary files /dev/null and b/1.png differ diff --git a/README.md b/README.md index 110697ce..ef347daf 100644 --- a/README.md +++ b/README.md @@ -3,11 +3,102 @@ CUDA Path Tracer **University of Pennsylvania, CIS 565: GPU Programming and Architecture, Project 3** -* (TODO) YOUR NAME HERE -* Tested on: (TODO) Windows 22, i7-2222 @ 2.22GHz 22GB, GTX 222 222MB (Moore 2222 Lab) +* Zhangkaiwen Chu + * [LinkedIn](https://www.linkedin.com/in/zhangkaiwen-chu-b53060225/) +* Tested on: Windows 10, R7-5800H @ 3.20GHz 16GB, RTX 3070 Laptop GPU 16310MB (Personal Laptop) -### (TODO: Your README) +This project implement a CUDA-based path tracer. +![](img/result.png) -*DO NOT* leave the README to the last minute! It is a crucial part of the -project, and we will not be able to grade you without a good README. +## Core Features +* A shading kernel with BSDF evaluation for ideal diffuse surfaces and non perfect specular-reflective surfaces. + + Perfect reflection + ![](img/perfect.png) + + Non perfect reflection + ![](img/nonperfect.png) + + +* Path termination using stream compaction. + +I implemented this function by directly using thrust::partition for best performance. + +* Sort the rays by material type. + +I implemented this function by directly using thrust::sort_by_key.However, it actually lower the performance. + +* Cache first bounce intersections to speed up. + + +## Visual Improvements +* Refraction. + +Refraction is implemented based on the approximated fresnel equations in this [note](http://psgraphics.blogspot.com/2020/03/fresnel-equations-schlick-approximation.html). + +![](img/refraction.png) + +Upper left is a blue sphere with refractive index = 2.0, and middle right is a white sphere with refractive index = 1.5. + + +* Stochastic Sampled Antialiasing. + +Stochastic sampled antialiasing is implemented according to this [note](http://paulbourke.net/miscellaneous/raytracing/). + +Mirror room without antialiasing + +![](img/mirror_box_origin.png) + +Mirror room with antialiasing + +![](img/mirror_box_anti.png) + +The effect of antialiasing is very obvious. The image generated with antialiasing have far more details. And since there is only perfect reflection, the image do not change after the first iteration without using antialiasing. + +* Physically-based depth-of-field. + +Physically-based depth-of-field is implemented according to PBRT 6.2.3. + +This picture is generated with focal length = 10.5 and lens size = 1.0. The sphere in the middle lays on the focus plane. The bottom-left sphere is a perfect reflective sphere moving from back to front. + +![](img/dof%2Bmotion.png) + + +* Motion blur. + +Motion blur is done by modifying the transformation matrix of a geometric object at each itreration. Only linear translation is implemented. Further work can include angular movements and complex trajectories. + +The bottom sphere in this image is a reflective sphere moving from left to right. +![](img/motion.png) + +## Performance Improvements +* Re-startable Path tracing. + +I overwrite the command 'esc' to be exiting the rendering process and saving intermediate states, and add a command 'l' to load intermediate states. Saving the iteration number, camera settings and rendering->stats.image is enough for restarting the rendering. I save the intermediate states as a .txt file with each line a float number. + +## ANALYSIS + +* Sort by material + +![](img/1.png) + +Sorting is expected to increase the frame rate, since the threads in a ward is expected to excuete the same code, which will lower branch divergent. However, the rendering speed is actually lowered. Probabily because the sorting consumes too much time. + +* Stream Compaction + +![](img/2.png) + +Stream compaction can compact the path nearly exponentially, both in the case of open environment and closed environment. This is as expected, since the probability that a random ray escape the scene (hit blank or light) is a constant. Although, the probability of a continual ray escape is dependent to the previous run, the randomness of diffuse and reflection makes the dependence weak. + + +* Caching + +Closed scene +![](img/3.png) + +Open scene +![](img/4.png) + + +Caching the first intersection makes the time elapsed per iteration lowered by a constant number, which is the time needed for calculating the first intersections and generating the rays. diff --git a/Untitled.ipynb b/Untitled.ipynb new file mode 100644 index 00000000..78b02e5c --- /dev/null +++ b/Untitled.ipynb @@ -0,0 +1,155 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "1575d33c-13ed-4d69-b61c-904d8f53b235", + "metadata": {}, + "outputs": [], + "source": [ + "from matplotlib import pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "fabbf749-b4a9-4cdb-bfa1-6cc30d1ad03b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot([1,2,3,4,5,6,7,8,9,10,11,12],[200,390,510,620,707,785,840,910,963,1003,1043,1076],c='k',label='sort')\n", + "plt.plot([1,2,3,4,5,6,7,8,9,10,11,12],[113,224,309,380,437,492,531,569,601,628,651,670],c='r',label='naive')\n", + "plt.xlabel('depth')\n", + "plt.ylabel('time elapsed per iteration (ms) ')\n", + "plt.legend()\n", + "plt.savefig('1.png',dpi=1200)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "82335942-a9ae-4630-8420-61cbc2fd0f58", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.semilogy([1,2,3,4,5,6,7,8,9,10,11,12],[640000,522832,366226,289715,239408,202863,171772,144925,122351,103123,87129,73653],c='k',label='open')\n", + "plt.semilogy([1,2,3,4,5,6,7,8,9,10,11,12],[640000,628992,625559,616446,608316,600691,591141,582576,573626,566654,558764,550745],c='r',label='close')\n", + "plt.xlabel('depth')\n", + "plt.ylabel('num_path')\n", + "plt.legend()\n", + "plt.savefig('2.png',dpi=1200)" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "c8fb224d-0e96-40ca-aae8-00349627307a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot([1,3,5,7],[121,351,573,796],c='k',label='naive')\n", + "plt.plot([1,3,5,7],[26,256,473,706],c='r',label='cache')\n", + "plt.xlabel('depth')\n", + "plt.ylabel('time elapsed per iteration (ms)')\n", + "plt.legend()\n", + "plt.savefig('3.png',dpi=1200)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "bde46181-430e-4700-b684-a56b826e9155", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot([1,3,5,7],[118,310,446,531],c='k',label='naive')\n", + "plt.plot([1,3,5,7],[27,226,356,447],c='r',label='cache')\n", + "plt.xlabel('depth')\n", + "plt.ylabel('time elapsed per iteration (ms)')\n", + "plt.legend()\n", + "plt.savefig('4.png',dpi=1200)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d6199d40-aa42-44fd-9da9-7abbd1a522fe", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/img/1.png 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a/img/motion.png b/img/motion.png new file mode 100644 index 00000000..77d174cd Binary files /dev/null and b/img/motion.png differ diff --git a/img/nonperfect.png b/img/nonperfect.png new file mode 100644 index 00000000..084c992b Binary files /dev/null and b/img/nonperfect.png differ diff --git a/img/perfect.png b/img/perfect.png new file mode 100644 index 00000000..fbc38806 Binary files /dev/null and b/img/perfect.png differ diff --git a/img/refraction.png b/img/refraction.png new file mode 100644 index 00000000..c611ffde Binary files /dev/null and b/img/refraction.png differ diff --git a/img/result.png b/img/result.png new file mode 100644 index 00000000..88e0d393 Binary files /dev/null and b/img/result.png differ diff --git a/img/visual.png b/img/visual.png new file mode 100644 index 00000000..9831f7c2 Binary files /dev/null and b/img/visual.png differ diff --git a/scenes/cornell.txt b/scenes/cornell.txt index 83ff8202..b60b2a8a 100644 --- a/scenes/cornell.txt +++ b/scenes/cornell.txt @@ -1,3 +1,5 @@ + + // Emissive material (light) MATERIAL 0 RGB 1 1 1 @@ -47,17 +49,43 @@ REFL 1 REFR 0 REFRIOR 0 EMITTANCE 0 +SHINE 50 + + +// Refracctive white +MATERIAL 5 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB .98 .98 .98 +REFL 1 +REFR 1 +REFRIOR 1.5 +EMITTANCE 0 +SHINE 50 + +// Refracctive white +MATERIAL 6 +RGB .98 .5 .98 +SPECEX 0 +SPECRGB .98 .5 .98 +REFL 1 +REFR 1 +REFRIOR 2 +EMITTANCE 0 +SHINE 50 // Camera CAMERA RES 800 800 FOVY 45 ITERATIONS 5000 -DEPTH 8 +DEPTH 1 FILE cornell EYE 0.0 5 10.5 LOOKAT 0 5 0 UP 0 1 0 +FOCAL 10.5 +RADIUS 1 // Ceiling light @@ -112,6 +140,33 @@ SCALE .01 10 10 OBJECT 6 sphere material 4 -TRANS -1 4 -1 +TRANS 0 3 0 +ROTAT 0 0 0 +SCALE 2 2 2 + +// Sphere +OBJECT 7 +sphere +material 6 +TRANS -2 7 2 +ROTAT 0 0 0 +SCALE 2 2 2 + + +// Sphere +OBJECT 8 +sphere +material 5 +TRANS 2 5 -2 +ROTAT 0 0 0 +SCALE 2 2 2 + + +// Sphere +OBJECT 9 +sphere +material 4 +TRANS -2 3 -2 ROTAT 0 0 0 -SCALE 3 3 3 +SCALE 2 2 2 +END 2 3 -2 \ No newline at end of file diff --git a/scenes/cornell2.txt b/scenes/cornell2.txt new file mode 100644 index 00000000..1fc96b1c --- /dev/null +++ b/scenes/cornell2.txt @@ -0,0 +1,186 @@ +// Emissive material (light) +MATERIAL 0 +RGB 1 1 1 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 5 + +// Diffuse white +MATERIAL 1 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Diffuse red +MATERIAL 2 +RGB .85 .35 .35 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Diffuse green +MATERIAL 3 +RGB .35 .85 .35 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Specular white +MATERIAL 4 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB .98 .98 .98 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 +SHINE 100 + +// Refractive white +MATERIAL 5 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB .98 .98 .98 +REFL 1 +REFR 1 +REFRIOR 2 +EMITTANCE 0 +SHINE 100 + +// Reflective white +MATERIAL 6 +RGB .9 .9 .9 +SPECEX 0 +SPECRGB .9 .9 .9 +REFL 1 +REFR 0 +REFRIOR 2 +EMITTANCE 0 +SHINE 100 + +// Camera +CAMERA +RES 600 600 +FOVY 45 +ITERATIONS 5000 +DEPTH 8 +FILE cornell +EYE 0.0 5 4 +LOOKAT 0 5 0 +UP 0 1 0 +RADIUS 0.5 +FOCAL 10 + + +// Ceiling light +OBJECT 0 +cube +material 0 +TRANS 0 10 0 +ROTAT 0 0 0 +SCALE 3 .3 3 + +// Floor +OBJECT 1 +cube +material 6 +TRANS 0 0 0 +ROTAT 0 0 0 +SCALE 10 .01 10 + +// Ceiling +OBJECT 2 +cube +material 6 +TRANS 0 10 0 +ROTAT 0 0 90 +SCALE .01 10 10 + +// Back wall +OBJECT 3 +cube +material 6 +TRANS 0 5 -5 +ROTAT 0 90 0 +SCALE .01 10 10 + +// Left wall +OBJECT 4 +cube +material 6 +TRANS -5 5 0 +ROTAT 0 0 0 +SCALE .01 10 10 + +// Right wall +OBJECT 5 +cube +material 6 +TRANS 5 5 0 +ROTAT 0 0 0 +SCALE .01 10 10 + + +// Sphere +OBJECT 6 +sphere +material 6 +TRANS -1 4 -2 +ROTAT 0 0 0 +SCALE 1 1 1 + + + + + +// front wall +OBJECT 7 +cube +material 6 +TRANS 0 5 5 +ROTAT 0 90 0 +SCALE .01 10 10 + +// Sphere +OBJECT 8 +sphere +material 6 +TRANS -1 6 -2 +ROTAT 0 0 0 +SCALE 1 1 1 + +// Sphere +OBJECT 9 +sphere +material 6 +TRANS 1 6 -2 +ROTAT 0 0 0 +SCALE 1 1 1 + + +// Sphere +OBJECT 10 +sphere +material 6 +TRANS 1 4 -2 +ROTAT 0 0 0 +SCALE 1 1 1 + + + + + + diff --git a/scenes/mirror_room.txt b/scenes/mirror_room.txt new file mode 100644 index 00000000..1e8cf39d --- /dev/null +++ b/scenes/mirror_room.txt @@ -0,0 +1,186 @@ +// Emissive material (light) +MATERIAL 0 +RGB 1 1 1 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 5 + +// Diffuse white +MATERIAL 1 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Diffuse red +MATERIAL 2 +RGB .85 .35 .35 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Diffuse green +MATERIAL 3 +RGB .35 .85 .35 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Specular white +MATERIAL 4 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB .98 .98 .98 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 0 +SHINE 100 + +// Refractive white +MATERIAL 5 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB .98 .98 .98 +REFL 1 +REFR 1 +REFRIOR 2 +EMITTANCE 0 +SHINE 100 + +// Reflective white +MATERIAL 6 +RGB 1 1 1 +SPECEX 0 +SPECRGB 1 1 1 +REFL 1 +REFR 0 +REFRIOR 2 +EMITTANCE 0 +SHINE 100 + +// Camera +CAMERA +RES 800 800 +FOVY 45 +ITERATIONS 5000 +DEPTH 1 +FILE cornell +EYE 0.0 5 4 +LOOKAT 0 5 0 +UP 0 1 0 +RADIUS 0.5 +FOCAL 10 + + +// Ceiling light +OBJECT 0 +cube +material 0 +TRANS 0 10 0 +ROTAT 0 0 0 +SCALE 3 .3 3 + +// Floor +OBJECT 1 +cube +material 6 +TRANS 0 0 0 +ROTAT 0 0 0 +SCALE 10 .01 10 + +// Ceiling +OBJECT 2 +cube +material 6 +TRANS 0 10 0 +ROTAT 0 0 90 +SCALE .01 10 10 + +// Back wall +OBJECT 3 +cube +material 6 +TRANS 0 5 -5 +ROTAT 0 90 0 +SCALE .01 10 10 + +// Left wall +OBJECT 4 +cube +material 6 +TRANS -5 5 0 +ROTAT 0 0 0 +SCALE .01 10 10 + +// Right wall +OBJECT 5 +cube +material 6 +TRANS 5 5 0 +ROTAT 0 0 0 +SCALE .01 10 10 + + +// Sphere +OBJECT 6 +sphere +material 6 +TRANS -1 4 -2 +ROTAT 0 0 0 +SCALE 1 1 1 + + + + + +// front wall +OBJECT 7 +cube +material 6 +TRANS 0 5 5 +ROTAT 0 90 0 +SCALE .01 10 10 + +// Sphere +OBJECT 8 +sphere +material 6 +TRANS -1 6 -2 +ROTAT 0 0 0 +SCALE 1 1 1 + +// Sphere +OBJECT 9 +sphere +material 6 +TRANS 1 6 -2 +ROTAT 0 0 0 +SCALE 1 1 1 + + +// Sphere +OBJECT 10 +sphere +material 6 +TRANS 1 4 -2 +ROTAT 0 0 0 +SCALE 1 1 1 + + + + + + diff --git a/scenes/mirror_room2.txt b/scenes/mirror_room2.txt new file mode 100644 index 00000000..cf0de239 --- /dev/null +++ b/scenes/mirror_room2.txt @@ -0,0 +1,176 @@ +// Emissive material (light) +MATERIAL 0 +RGB 1 1 1 +SPECEX 0 +SPECRGB 0 0 0 +REFL 0 +REFR 0 +REFRIOR 0 +EMITTANCE 5 + +// Specular blue +MATERIAL 1 +RGB .35 .35 .85 +SPECEX 0 +SPECRGB .35 .35 .85 +REFL 1 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Specular red +MATERIAL 2 +RGB .85 .35 .35 +SPECEX 0 +SPECRGB .35 .35 .85 +REFL 1 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Specular green +MATERIAL 3 +RGB .35 .85 .35 +SPECEX 0 +SPECRGB .35 .35 .85 +REFL 1 +REFR 0 +REFRIOR 0 +EMITTANCE 0 + +// Specular white +MATERIAL 4 +RGB 1 1 1 +SPECEX 0 +SPECRGB 1 1 1 +REFL 1 +REFR 0 +REFRIOR 0 +EMITTANCE 0 +SHINE 100 + +// Refractive white +MATERIAL 5 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB .98 .98 .98 +REFL 1 +REFR 1 +REFRIOR 2 +EMITTANCE 0 +SHINE 100 + +// Difussive white +MATERIAL 6 +RGB 1 1 1 +SPECEX 0 +SPECRGB 1 1 1 +REFL 0 +REFR 0 +REFRIOR 2 +EMITTANCE 0 +SHINE 100 + +// Camera +CAMERA +RES 800 800 +FOVY 45 +ITERATIONS 2000 +DEPTH 8 +FILE cornell +EYE 0.0 5 4 +LOOKAT 0 5 0 +UP 0 1 0 +RADIUS 0.5 +FOCAL 10 + + +// Ceiling light +OBJECT 0 +cube +material 0 +TRANS 0 10 0 +ROTAT 0 0 0 +SCALE 3 .3 3 + +// Floor +OBJECT 1 +cube +material 1 +TRANS 0 0 0 +ROTAT 0 0 0 +SCALE 10 .01 10 + +// Ceiling +OBJECT 2 +cube +material 2 +TRANS 0 10 0 +ROTAT 0 0 90 +SCALE .01 10 10 + +// Back wall +OBJECT 3 +cube +material 3 +TRANS 0 5 -5 +ROTAT 0 90 0 +SCALE .01 10 10 + +// Left wall +OBJECT 4 +cube +material 4 +TRANS -5 5 0 +ROTAT 0 0 0 +SCALE .01 10 10 + +// Right wall +OBJECT 4 +cube +material 6 +TRANS 5 5 0 +ROTAT 0 0 0 +SCALE .01 10 10 + + +// Sphere +OBJECT 4 +sphere +material 6 +TRANS -1 4 -2 +ROTAT 0 0 0 +SCALE 1 1 1 + + + +// Sphere +OBJECT 5 +sphere +material 6 +TRANS -1 6 -2 +ROTAT 0 0 0 +SCALE 1 1 1 + +// Sphere +OBJECT 6 +sphere +material 6 +TRANS 1 6 -2 +ROTAT 0 0 0 +SCALE 1 1 1 + + +// Sphere +OBJECT 4 +sphere +material 6 +TRANS 1 4 -2 +ROTAT 0 0 0 +SCALE 1 1 1 + + + + + + diff --git a/scenes/sphere.txt b/scenes/sphere.txt index a74b5458..52bdb63b 100644 --- a/scenes/sphere.txt +++ b/scenes/sphere.txt @@ -8,6 +8,17 @@ REFR 0 REFRIOR 0 EMITTANCE 5 + +// Specular white +MATERIAL 4 +RGB .98 .98 .98 +SPECEX 0 +SPECRGB .98 .98 .98 +REFL 0 +REFR 0 +REFRIOR 1.5 +EMITTANCE 0 + // Camera CAMERA RES 800 800 @@ -15,14 +26,23 @@ FOVY 45 ITERATIONS 5000 DEPTH 8 FILE sphere -EYE 0.0 5 10.5 +EYE 0.0 0 10 LOOKAT 0 5 0 UP 0 1 0 // Sphere OBJECT 0 sphere +material 4 +TRANS 0 5 -1 +ROTAT 0 0 0 +SCALE 1 1 1 + + +// Ceiling light +OBJECT 1 +sphere material 0 -TRANS 0 0 0 +TRANS 0 10 1 ROTAT 0 0 0 -SCALE 3 3 3 +SCALE 1 1 1 \ No newline at end of file diff --git a/src/interactions.h b/src/interactions.h index f969e458..4a7d00b5 100644 --- a/src/interactions.h +++ b/src/interactions.h @@ -41,6 +41,36 @@ glm::vec3 calculateRandomDirectionInHemisphere( + sin(around) * over * perpendicularDirection2; } +__host__ __device__ +glm::vec3 imperfectReflection(glm::vec3 normal, thrust::default_random_engine& rng, float n) { + thrust::uniform_real_distribution u01(0, 1); + glm::vec3 directionNotNormal; + + if (abs(normal.x) < SQRT_OF_ONE_THIRD) { + directionNotNormal = glm::vec3(1, 0, 0); + } + else if (abs(normal.y) < SQRT_OF_ONE_THIRD) { + directionNotNormal = glm::vec3(0, 1, 0); + } + else { + directionNotNormal = glm::vec3(0, 0, 1); + } + + // Use not-normal direction to generate two perpendicular directions + glm::vec3 perpendicularDirection1 = + glm::normalize(glm::cross(normal, directionNotNormal)); + glm::vec3 perpendicularDirection2 = + glm::normalize(glm::cross(normal, perpendicularDirection1)); + float theta = acos(std::pow(u01(rng), 1.f / (1.f + n))); + float phi = 2 * PI * u01(rng); + float x = cos(phi) * sin(theta); + float y = sin(phi) * sin(theta); + float z = cos(theta); + return z * normal + x * perpendicularDirection1 + y * perpendicularDirection2; +} + + + /** * Scatter a ray with some probabilities according to the material properties. * For example, a diffuse surface scatters in a cosine-weighted hemisphere. @@ -76,4 +106,48 @@ void scatterRay( // TODO: implement this. // A basic implementation of pure-diffuse shading will just call the // calculateRandomDirectionInHemisphere defined above. + if (pathSegment.remainingBounces > 0) { + float n = m.indexOfRefraction; + if (glm::dot(normal, pathSegment.ray.direction) > 0) { + normal = -normal; + n = 1.f / n; + } + if (m.hasRefractive) { + thrust::uniform_real_distribution u01(0, 1); + float R0 = glm::pow((1.f - n) / (1.f + n), 2.f); + float R = R0 + (1 - R0) * glm::pow(1.f + glm::dot(normal, pathSegment.ray.direction), 5.f); + if (u01(rng) > R) { + glm::vec3 out = glm::refract(pathSegment.ray.direction, normal, 1.f / n); + if (glm::length(out) > 0.f){ + pathSegment.color *= m.specular.color; + pathSegment.ray.direction = glm::normalize(out); + pathSegment.remainingBounces--; + pathSegment.ray.origin = intersect + 0.0001f * pathSegment.ray.direction; + if (pathSegment.remainingBounces == 0) { + pathSegment.color *= 0.f; + } + return; + } + } + } + + if (m.hasReflective || m.hasRefractive) { + pathSegment.color *= m.specular.color; + pathSegment.ray.direction = glm::normalize(glm::reflect(pathSegment.ray.direction, normal)); + //pathSegment.ray.direction = glm::normalize(imperfectReflection(glm::normalize(glm::reflect(pathSegment.ray.direction, normal)), rng, m.shininess)); + pathSegment.remainingBounces--; + pathSegment.ray.origin = intersect + 0.0001f * pathSegment.ray.direction; + } + + else { + pathSegment.color *= m.color; + pathSegment.ray.direction = glm::normalize(calculateRandomDirectionInHemisphere(normal, rng)); + pathSegment.remainingBounces--; + pathSegment.ray.origin = intersect+ 0.0001f * pathSegment.ray.direction; + } + if (pathSegment.remainingBounces == 0) { + pathSegment.color *= 0.f; + } + + } } diff --git a/src/main.cpp b/src/main.cpp index 96127b6d..39980834 100644 --- a/src/main.cpp +++ b/src/main.cpp @@ -1,6 +1,8 @@ #include "main.h" #include "preview.h" #include +#include +#include static std::string startTimeString; @@ -27,6 +29,10 @@ int iteration; int width; int height; +bool load = false; + +void loadState(); + //------------------------------- //-------------MAIN-------------- //------------------------------- @@ -72,6 +78,7 @@ int main(int argc, char** argv) { // Initialize CUDA and GL components init(); + printf("a"); // Initialize ImGui Data InitImguiData(guiData); @@ -83,6 +90,69 @@ int main(int argc, char** argv) { return 0; } +void loadState() { + std::ifstream ifs; + std::string str; + ifs.open("./states.txt", std::ios::in); + std::getline(ifs, str); iteration = std::stof(str); + std::getline(ifs, str); renderState->camera.resolution.x = std::stof(str); + std::getline(ifs, str); renderState->camera.resolution.y = std::stof(str); + std::getline(ifs, str); renderState->camera.position.x = std::stof(str); + std::getline(ifs, str); renderState->camera.position.y = std::stof(str); + std::getline(ifs, str); renderState->camera.position.z = std::stof(str); + std::getline(ifs, str); renderState->camera.lookAt.x = std::stof(str); + std::getline(ifs, str); renderState->camera.lookAt.y = std::stof(str); + std::getline(ifs, str); renderState->camera.lookAt.z = std::stof(str); + std::getline(ifs, str); renderState->camera.view.x = std::stof(str); + std::getline(ifs, str); renderState->camera.view.y = std::stof(str); + std::getline(ifs, str); renderState->camera.view.z = std::stof(str); + std::getline(ifs, str); renderState->camera.up.x = std::stof(str); + std::getline(ifs, str); renderState->camera.up.y = std::stof(str); + std::getline(ifs, str); renderState->camera.up.z = std::stof(str); + std::getline(ifs, str); renderState->camera.fov.x = std::stof(str); + std::getline(ifs, str); renderState->camera.fov.y = std::stof(str); + std::getline(ifs, str); renderState->camera.pixelLength.x = std::stof(str); + std::getline(ifs, str); renderState->camera.pixelLength.y = std::stof(str); + for (int i = 0; i < renderState->camera.resolution.x * renderState->camera.resolution.y; i++) { + std::getline(ifs, str); renderState->image[i].x = std::stof(str); + std::getline(ifs, str); renderState->image[i].y = std::stof(str); + std::getline(ifs, str); renderState->image[i].z = std::stof(str); + } +} + +void saveState() { + std::ofstream ofs; + + ofs.open("./states.txt",std::ios::out); + + ofs << to_string(iteration) << std::endl; + ofs << to_string(renderState->camera.resolution.x) << std::endl; + ofs << to_string(renderState->camera.resolution.y) << std::endl; + ofs << to_string(renderState->camera.position.x) << std::endl; + ofs << to_string(renderState->camera.position.y) << std::endl; + ofs << to_string(renderState->camera.position.z) << std::endl; + ofs << to_string(renderState->camera.lookAt.x) << std::endl; + ofs << to_string(renderState->camera.lookAt.y) << std::endl; + ofs << to_string(renderState->camera.lookAt.z) << std::endl; + ofs << to_string(renderState->camera.view.x) << std::endl; + ofs << to_string(renderState->camera.view.y) << std::endl; + ofs << to_string(renderState->camera.view.z) << std::endl; + ofs << to_string(renderState->camera.up.x) << std::endl; + ofs << to_string(renderState->camera.up.y) << std::endl; + ofs << to_string(renderState->camera.up.z) << std::endl; + ofs << to_string(renderState->camera.fov.x) << std::endl; + ofs << to_string(renderState->camera.fov.y) << std::endl; + ofs << to_string(renderState->camera.pixelLength.x) << std::endl; + ofs << to_string(renderState->camera.pixelLength.y) << std::endl; + for (int i=0; i < renderState->camera.resolution.x * renderState->camera.resolution.y; i++) { + ofs << to_string(renderState->image[i].x) << std::endl; + ofs << to_string(renderState->image[i].y) << std::endl; + ofs << to_string(renderState->image[i].z) << std::endl; + } + ofs.close(); + +} + void saveImage() { float samples = iteration; // output image file @@ -134,7 +204,11 @@ void runCuda() { pathtraceFree(); pathtraceInit(scene); } - + if (load) { + loadState(); + pathtraceLoad(scene); + load = false; + } if (iteration < renderState->iterations) { uchar4* pbo_dptr = NULL; iteration++; @@ -160,11 +234,15 @@ void keyCallback(GLFWwindow* window, int key, int scancode, int action, int mods switch (key) { case GLFW_KEY_ESCAPE: saveImage(); + saveState(); glfwSetWindowShouldClose(window, GL_TRUE); break; case GLFW_KEY_S: saveImage(); break; + case GLFW_KEY_L: + load = true; + break; case GLFW_KEY_SPACE: camchanged = true; renderState = &scene->state; diff --git a/src/pathtrace.cu b/src/pathtrace.cu index fd2a4641..e588748a 100644 --- a/src/pathtrace.cu +++ b/src/pathtrace.cu @@ -5,6 +5,10 @@ #include #include +#include +#include + + #include "sceneStructs.h" #include "scene.h" #include "glm/glm.hpp" @@ -16,6 +20,11 @@ #define ERRORCHECK 1 +#define CACHE 0 +#define SORT 0 +#define ANTIALIASING 0 +#define DEPTH 0 + #define FILENAME (strrchr(__FILE__, '/') ? strrchr(__FILE__, '/') + 1 : __FILE__) #define checkCUDAError(msg) checkCUDAErrorFn(msg, FILENAME, __LINE__) void checkCUDAErrorFn(const char* msg, const char* file, int line) { @@ -76,7 +85,11 @@ static PathSegment* dev_paths = NULL; static ShadeableIntersection* dev_intersections = NULL; // TODO: static variables for device memory, any extra info you need, etc // ... +static PathSegment* dev_first_paths = NULL; +static ShadeableIntersection* dev_first_intersections = NULL; + +bool first = true; void InitDataContainer(GuiDataContainer* imGuiData) { guiData = imGuiData; @@ -103,10 +116,19 @@ void pathtraceInit(Scene* scene) { cudaMemset(dev_intersections, 0, pixelcount * sizeof(ShadeableIntersection)); // TODO: initialize any extra device memeory you need +#if CACHE + cudaMalloc(&dev_first_intersections, pixelcount * sizeof(ShadeableIntersection)); + cudaMalloc(&dev_first_paths, pixelcount * sizeof(PathSegment)); +#endif checkCUDAError("pathtraceInit"); } +void pathtraceLoad(Scene* scene) { + hst_scene = scene; + cudaMemcpy(dev_image, scene->state.image.data(), scene->state.camera.resolution.x* scene->state.camera.resolution.y * sizeof(glm::vec3), cudaMemcpyHostToDevice); +} + void pathtraceFree() { cudaFree(dev_image); // no-op if dev_image is null cudaFree(dev_paths); @@ -115,9 +137,31 @@ void pathtraceFree() { cudaFree(dev_intersections); // TODO: clean up any extra device memory you created + cudaFree(dev_first_intersections); + cudaFree(dev_first_paths); + checkCUDAError("pathtraceFree"); } +__host__ __device__ +glm::vec2 ConcentricSampleDisk(float u0, float u1) { + glm::vec2 uOffset = glm::vec2(2.f * u0 - 1.f, 2.f * u1 - 1.f); + if (uOffset.x == 0 && uOffset.y == 0) { + return glm::vec2(0, 0); + } + + float theta, r; + if (std::abs(uOffset.x) > std::abs(uOffset.y)) { + r = uOffset.x; + theta = PI / 4.f * (uOffset.y / uOffset.x); + } + else { + r = uOffset.y; + theta = PI / 2.f - PI / 4.f * (uOffset.x / uOffset.y); + } + return r * glm::vec2(cos(theta),sin(theta)); +} + /** * Generate PathSegments with rays from the camera through the screen into the * scene, which is the first bounce of rays. @@ -139,11 +183,33 @@ __global__ void generateRayFromCamera(Camera cam, int iter, int traceDepth, Path segment.color = glm::vec3(1.0f, 1.0f, 1.0f); // TODO: implement antialiasing by jittering the ray + thrust::default_random_engine rng = makeSeededRandomEngine(iter, index, 0); + thrust::uniform_real_distribution u01(0, 1); +#if ANTIALIASING + segment.ray.direction = glm::normalize(cam.view + - cam.right * cam.pixelLength.x * ((float)x - (float)cam.resolution.x * 0.5f + u01(rng)) + - cam.up * cam.pixelLength.y * ((float)y - (float)cam.resolution.y * 0.5f + u01(rng)) + ); +#else segment.ray.direction = glm::normalize(cam.view - cam.right * cam.pixelLength.x * ((float)x - (float)cam.resolution.x * 0.5f) - cam.up * cam.pixelLength.y * ((float)y - (float)cam.resolution.y * 0.5f) ); - +#endif +#if DEPTH + float lensRadius = cam.radius; + float focalDistance = cam.focus; + glm::vec2 pLens = lensRadius * ConcentricSampleDisk(u01(rng), u01(rng)); + + float ft = glm::abs(focalDistance / segment.ray.direction.z); + + glm::vec3 pFocus = ft*segment.ray.direction; + glm::vec3 newdir = glm::normalize(pFocus - glm::vec3(pLens.x, pLens.y, 0.f)); + // printf("%f,%f,%f,%f,%f,%f,%f,%f,%f,%f\n", ft, pFocus.x, pFocus.y, pFocus.z, segment.ray.direction.x, segment.ray.direction.y, segment.ray.direction.z,newdir.x, newdir.y, newdir.z); + + segment.ray.origin += glm::vec3(pLens.x, pLens.y, 0.f); + segment.ray.direction = newdir; +#endif segment.pixelIndex = index; segment.remainingBounces = traceDepth; } @@ -252,15 +318,17 @@ __global__ void shadeFakeMaterial( // If the material indicates that the object was a light, "light" the ray if (material.emittance > 0.0f) { + pathSegments[idx].remainingBounces = 0; pathSegments[idx].color *= (materialColor * material.emittance); } // Otherwise, do some pseudo-lighting computation. This is actually more // like what you would expect from shading in a rasterizer like OpenGL. // TODO: replace this! you should be able to start with basically a one-liner else { - float lightTerm = glm::dot(intersection.surfaceNormal, glm::vec3(0.0f, 1.0f, 0.0f)); - pathSegments[idx].color *= (materialColor * lightTerm) * 0.3f + ((1.0f - intersection.t * 0.02f) * materialColor) * 0.7f; - pathSegments[idx].color *= u01(rng); // apply some noise because why not + //float lightTerm = glm::dot(intersection.surfaceNormal, glm::vec3(0.0f, 1.0f, 0.0f)); + //pathSegments[idx].color *= (materialColor * lightTerm) * 0.3f + ((1.0f - intersection.t * 0.02f) * materialColor) * 0.7f; + scatterRay(pathSegments[idx], pathSegments[idx].ray.origin + intersection.t * pathSegments[idx].ray.direction, intersection.surfaceNormal, material, rng); + //pathSegments[idx].color *= u01(rng); // apply some noise because why not } // If there was no intersection, color the ray black. // Lots of renderers use 4 channel color, RGBA, where A = alpha, often @@ -268,6 +336,7 @@ __global__ void shadeFakeMaterial( // This can be useful for post-processing and image compositing. } else { + pathSegments[idx].remainingBounces = 0; pathSegments[idx].color = glm::vec3(0.0f); } } @@ -285,6 +354,25 @@ __global__ void finalGather(int nPaths, glm::vec3* image, PathSegment* iteration } } + +struct is_terminated +{ + __host__ __device__ + bool operator()(const PathSegment pathsegment) + { + return pathsegment.remainingBounces; + } +}; + +struct cmp +{ + __host__ __device__ + bool operator()(const ShadeableIntersection intersection1, const ShadeableIntersection intersection2) + { + return intersection1.materialId < intersection2.materialId; + } +}; + /** * Wrapper for the __global__ call that sets up the kernel calls and does a ton * of memory management @@ -334,25 +422,81 @@ void pathtrace(uchar4* pbo, int frame, int iter) { // TODO: perform one iteration of path tracing - generateRayFromCamera << > > (cam, iter, traceDepth, dev_paths); - checkCUDAError("generate camera ray"); - int depth = 0; PathSegment* dev_path_end = dev_paths + pixelcount; int num_paths = dev_path_end - dev_paths; +#if CACHE + if (first) { + generateRayFromCamera <<>> (cam, iter, traceDepth, dev_paths); + checkCUDAError("generate camera ray"); + cudaMemcpy(dev_first_paths, dev_paths, pixelcount * sizeof(PathSegment), cudaMemcpyDeviceToDevice); + dim3 numblocksPathSegmentTracing = (num_paths + blockSize1d - 1) / blockSize1d; + computeIntersections << > > ( + depth + , num_paths + , dev_paths + , dev_geoms + , hst_scene->geoms.size() + , dev_intersections + ); + cudaMemcpy(dev_first_intersections, dev_intersections, pixelcount * sizeof(ShadeableIntersection), cudaMemcpyDeviceToDevice); + first = false; + } + else { + cudaMemcpy(dev_paths, dev_first_paths, pixelcount * sizeof(PathSegment), cudaMemcpyDeviceToDevice); + cudaMemcpy(dev_intersections,dev_first_intersections, pixelcount * sizeof(ShadeableIntersection), cudaMemcpyDeviceToDevice); + } + +#else + generateRayFromCamera << > > (cam, iter, traceDepth, dev_paths); + checkCUDAError("generate camera ray"); +#endif + // --- PathSegment Tracing Stage --- // Shoot ray into scene, bounce between objects, push shading chunks + //motion + for (int i = 0; i < hst_scene->geoms.size(); i++) { + Geom& newGeom = hst_scene->geoms[i]; + hst_scene->geoms[i].transform = utilityCore::buildTransformationMatrix( + newGeom.translation + (newGeom.end - newGeom.translation) * (float)iter / (float) hst_scene->state.iterations, newGeom.rotation, newGeom.scale); + hst_scene->geoms[i].inverseTransform = glm::inverse(newGeom.transform); + hst_scene->geoms[i].invTranspose = glm::inverseTranspose(newGeom.transform); + + } + cudaMemcpy(dev_geoms, hst_scene->geoms.data(), hst_scene->geoms.size() * sizeof(Geom), cudaMemcpyHostToDevice); + bool iterationComplete = false; + bool iterationStart = true; while (!iterationComplete) { + dim3 numblocksPathSegmentTracing = (num_paths + blockSize1d - 1) / blockSize1d; // clean shading chunks +#if CACHE + if (iterationStart) { + cudaMemcpy(dev_intersections, dev_first_intersections, pixelcount * sizeof(ShadeableIntersection), cudaMemcpyDeviceToDevice); + iterationStart = false; + } + else { + cudaMemset(dev_intersections, 0, pixelcount * sizeof(ShadeableIntersection)); + + computeIntersections <<>> ( + depth + , num_paths + , dev_paths + , dev_geoms + , hst_scene->geoms.size() + , dev_intersections + ); + checkCUDAError("trace one bounce"); + cudaDeviceSynchronize(); + } +#else cudaMemset(dev_intersections, 0, pixelcount * sizeof(ShadeableIntersection)); // tracing - dim3 numblocksPathSegmentTracing = (num_paths + blockSize1d - 1) / blockSize1d; - computeIntersections << > > ( + computeIntersections <<> > ( depth , num_paths , dev_paths @@ -362,6 +506,7 @@ void pathtrace(uchar4* pbo, int frame, int iter) { ); checkCUDAError("trace one bounce"); cudaDeviceSynchronize(); +#endif depth++; // TODO: @@ -372,15 +517,29 @@ void pathtrace(uchar4* pbo, int frame, int iter) { // materials you have in the scenefile. // TODO: compare between directly shading the path segments and shading // path segments that have been reshuffled to be contiguous in memory. +#if SORT + thrust::sort_by_key(thrust::device, dev_intersections, dev_intersections + num_paths, dev_paths, cmp()); +#endif - shadeFakeMaterial << > > ( + shadeFakeMaterial <<>> ( iter, num_paths, dev_intersections, dev_paths, dev_materials ); - iterationComplete = true; // TODO: should be based off stream compaction results. + + + + dev_path_end = thrust::partition(thrust::device, dev_paths, dev_path_end, is_terminated()); + + //printf("%i,%i\n", num_paths, dev_path_end - dev_paths); + + num_paths = dev_path_end - dev_paths; + + + + iterationComplete = (num_paths == 0); // TODO: should be based off stream compaction results. if (guiData != NULL) { @@ -390,7 +549,7 @@ void pathtrace(uchar4* pbo, int frame, int iter) { // Assemble this iteration and apply it to the image dim3 numBlocksPixels = (pixelcount + blockSize1d - 1) / blockSize1d; - finalGather << > > (num_paths, dev_image, dev_paths); + finalGather << > > (pixelcount, dev_image, dev_paths); /////////////////////////////////////////////////////////////////////////// diff --git a/src/pathtrace.h b/src/pathtrace.h index e767d0ef..1b602fee 100644 --- a/src/pathtrace.h +++ b/src/pathtrace.h @@ -7,3 +7,4 @@ void InitDataContainer(GuiDataContainer* guiData); void pathtraceInit(Scene *scene); void pathtraceFree(); void pathtrace(uchar4 *pbo, int frame, int iteration); +void pathtraceLoad(Scene* scene); \ No newline at end of file diff --git a/src/scene.cpp b/src/scene.cpp index 3fb6239a..195e7109 100644 --- a/src/scene.cpp +++ b/src/scene.cpp @@ -70,10 +70,13 @@ int Scene::loadGeom(string objectid) { //load tranformations if (strcmp(tokens[0].c_str(), "TRANS") == 0) { newGeom.translation = glm::vec3(atof(tokens[1].c_str()), atof(tokens[2].c_str()), atof(tokens[3].c_str())); + newGeom.end = glm::vec3(newGeom.translation); } else if (strcmp(tokens[0].c_str(), "ROTAT") == 0) { newGeom.rotation = glm::vec3(atof(tokens[1].c_str()), atof(tokens[2].c_str()), atof(tokens[3].c_str())); } else if (strcmp(tokens[0].c_str(), "SCALE") == 0) { newGeom.scale = glm::vec3(atof(tokens[1].c_str()), atof(tokens[2].c_str()), atof(tokens[3].c_str())); + } else if (strcmp(tokens[0].c_str(), "END") == 0) { + newGeom.end = glm::vec3(atof(tokens[1].c_str()), atof(tokens[2].c_str()), atof(tokens[3].c_str())); } utilityCore::safeGetline(fp_in, line); @@ -124,6 +127,10 @@ int Scene::loadCamera() { camera.lookAt = glm::vec3(atof(tokens[1].c_str()), atof(tokens[2].c_str()), atof(tokens[3].c_str())); } else if (strcmp(tokens[0].c_str(), "UP") == 0) { camera.up = glm::vec3(atof(tokens[1].c_str()), atof(tokens[2].c_str()), atof(tokens[3].c_str())); + } else if (strcmp(tokens[0].c_str(), "RADIUS") == 0) { + camera.radius = atof(tokens[1].c_str()); + } else if (strcmp(tokens[0].c_str(), "FOCAL") == 0) { + camera.focus = atof(tokens[1].c_str()); } utilityCore::safeGetline(fp_in, line); @@ -158,11 +165,12 @@ int Scene::loadMaterial(string materialid) { } else { cout << "Loading Material " << id << "..." << endl; Material newMaterial; + newMaterial.shininess = 0.f; //load static properties - for (int i = 0; i < 7; i++) { - string line; - utilityCore::safeGetline(fp_in, line); + string line; + utilityCore::safeGetline(fp_in, line); + while (!line.empty() && fp_in.good()) { vector tokens = utilityCore::tokenizeString(line); if (strcmp(tokens[0].c_str(), "RGB") == 0) { glm::vec3 color( atof(tokens[1].c_str()), atof(tokens[2].c_str()), atof(tokens[3].c_str()) ); @@ -180,7 +188,11 @@ int Scene::loadMaterial(string materialid) { newMaterial.indexOfRefraction = atof(tokens[1].c_str()); } else if (strcmp(tokens[0].c_str(), "EMITTANCE") == 0) { newMaterial.emittance = atof(tokens[1].c_str()); + } else if (strcmp(tokens[0].c_str(), "SHINE") == 0) { + newMaterial.shininess = atof(tokens[1].c_str()); } + utilityCore::safeGetline(fp_in, line); + } materials.push_back(newMaterial); return 1; diff --git a/src/sceneStructs.h b/src/sceneStructs.h index da4dbf30..b88f48a6 100644 --- a/src/sceneStructs.h +++ b/src/sceneStructs.h @@ -26,6 +26,7 @@ struct Geom { glm::mat4 transform; glm::mat4 inverseTransform; glm::mat4 invTranspose; + glm::vec3 end; }; struct Material { @@ -38,6 +39,7 @@ struct Material { float hasRefractive; float indexOfRefraction; float emittance; + float shininess; }; struct Camera { @@ -49,6 +51,8 @@ struct Camera { glm::vec3 right; glm::vec2 fov; glm::vec2 pixelLength; + float radius; + float focus; }; struct RenderState { diff --git a/stream_compaction/.gitignore b/stream_compaction/.gitignore new file mode 100644 index 00000000..a59ec565 --- /dev/null +++ b/stream_compaction/.gitignore @@ -0,0 +1,562 @@ +cis565_getting_started +cis565_getting_started_generated_kernel* +*.orig +*.filters +*.sln +*.vcxproj +*.xcodeproj +build + +# Created by https://www.gitignore.io/api/linux,osx,sublimetext,windows,jetbrains,vim,emacs,cmake,c++,cuda,visualstudio,webstorm,eclipse,xcode + +### Linux ### +*~ + +# KDE directory preferences +.directory + +# Linux trash folder which might appear on any partition or disk +.Trash-* + + +### OSX ### +.DS_Store +.AppleDouble +.LSOverride + +# Icon must end with two \r +Icon + +# Thumbnails +._* + +# Files that might appear in the root of a volume +.DocumentRevisions-V100 +.fseventsd +.Spotlight-V100 +.TemporaryItems +.Trashes +.VolumeIcon.icns + +# Directories potentially created on remote AFP share +.AppleDB +.AppleDesktop +Network Trash Folder +Temporary Items +.apdisk + + +### SublimeText ### +# cache files for sublime text +*.tmlanguage.cache +*.tmPreferences.cache +*.stTheme.cache + +# workspace files are user-specific +*.sublime-workspace + +# project files should be checked into the repository, unless a significant +# proportion of contributors will probably not be using SublimeText +# *.sublime-project + +# sftp configuration file +sftp-config.json + + +### Windows ### +# Windows image file caches +Thumbs.db +ehthumbs.db + +# Folder config file +Desktop.ini + +# Recycle Bin used on file shares +$RECYCLE.BIN/ + +# Windows Installer files +*.cab +*.msi +*.msm +*.msp + +# Windows shortcuts +*.lnk + + +### JetBrains ### +# Covers JetBrains IDEs: IntelliJ, RubyMine, PhpStorm, AppCode, PyCharm, CLion, Android Studio + +*.iml + +## Directory-based project format: +#.idea/ +# if you remove the above rule, at least ignore the following: + +# User-specific stuff: +.idea/workspace.xml +.idea/tasks.xml +.idea/dictionaries + +# Sensitive or high-churn files: +.idea/dataSources.ids +.idea/dataSources.xml +.idea/sqlDataSources.xml +.idea/dynamic.xml +.idea/uiDesigner.xml + +# Gradle: +.idea/gradle.xml +.idea/libraries + +# Mongo Explorer plugin: +.idea/mongoSettings.xml + +## File-based project format: +*.ipr +*.iws + +## Plugin-specific files: + +# IntelliJ +/out/ + +# mpeltonen/sbt-idea plugin +.idea_modules/ + +# JIRA plugin +atlassian-ide-plugin.xml + +# Crashlytics plugin (for Android Studio and IntelliJ) +com_crashlytics_export_strings.xml +crashlytics.properties +crashlytics-build.properties + + +### Vim ### +[._]*.s[a-w][a-z] +[._]s[a-w][a-z] +*.un~ +Session.vim +.netrwhist +*~ + + +### Emacs ### +# -*- mode: gitignore; 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FORCE) + # Set the possible values of build type for cmake-gui + SET_PROPERTY(CACHE CMAKE_BUILD_TYPE PROPERTY STRINGS "Debug" "Release" "MinSizeRel" "RelWithDebInfo") +endif() + +######################################## +# CUDA Setup +######################################## +find_package(CUDA 10 REQUIRED) +include(${CMAKE_MODULE_PATH}/CUDAComputesList.cmake) + +list(APPEND CUDA_NVCC_FLAGS ${CUDA_GENERATE_CODE}) +list(APPEND CUDA_NVCC_FLAGS_DEBUG "-g -G") +set(CUDA_VERBOSE_BUILD ON) + +if(WIN32) + # Set up include and lib paths + set(CUDA_HOST_COMPILER ${CMAKE_CXX_COMPILER} CACHE FILEPATH "Host side compiler used by NVCC" FORCE) +endif(WIN32) +######################################## + +add_subdirectory(stream_compaction) + +include_directories(.) + +set(headers + "src/testing_helpers.hpp" ) -cuda_add_library(stream_compaction - ${SOURCE_FILES} +set(sources + "src/main.cpp" ) + +list(SORT headers) +list(SORT sources) + +source_group(Headers FILES ${headers}) +source_group(Sources FILES ${sources}) + +cuda_add_executable(${CMAKE_PROJECT_NAME} ${sources} ${headers}) + +target_link_libraries(${CMAKE_PROJECT_NAME} stream_compaction) diff --git a/stream_compaction/GNUmakefile b/stream_compaction/GNUmakefile new file mode 100644 index 00000000..2b433114 --- /dev/null +++ b/stream_compaction/GNUmakefile @@ -0,0 +1,31 @@ +CMAKE_ALT1 := /usr/local/bin/cmake +CMAKE_ALT2 := /Applications/CMake.app/Contents/bin/cmake +CMAKE := $(shell \ + which cmake 2>/dev/null || \ + ([ -e ${CMAKE_ALT1} ] && echo "${CMAKE_ALT1}") || \ + ([ -e ${CMAKE_ALT2} ] && echo "${CMAKE_ALT2}") \ + ) + +all: Release + + +Debug: build + (cd build && ${CMAKE} -DCMAKE_BUILD_TYPE=$@ .. && make) + +MinSizeRel: build + (cd build && ${CMAKE} -DCMAKE_BUILD_TYPE=$@ .. && make) + +Release: build + (cd build && ${CMAKE} -DCMAKE_BUILD_TYPE=$@ .. && make) + +RelWithDebugInfo: build + (cd build && ${CMAKE} -DCMAKE_BUILD_TYPE=$@ .. && make) + + +build: + mkdir -p build + +clean: + ((cd build && make clean) 2>&- || true) + +.PHONY: all Debug MinSizeRel Release RelWithDebugInfo clean diff --git a/stream_compaction/INSTRUCTION.md b/stream_compaction/INSTRUCTION.md new file mode 100644 index 00000000..07934072 --- /dev/null +++ b/stream_compaction/INSTRUCTION.md @@ -0,0 +1,307 @@ +Project 2 Stream Compaction Instructions +======================== + +This is due **Sunday, September 18 2022 at midnight**. + +**Summary:** In this project, you'll implement GPU stream compaction in CUDA, +from scratch. This algorithm is widely used, and will be important for +accelerating your path tracer project. + +Your stream compaction implementations in this project will simply remove `0`s +from an array of `int`s. In the path tracer, you will remove terminated paths +from an array of rays. + +In addition to being useful for your path tracer, this project is meant to +reorient your algorithmic thinking to the way of the GPU. On GPUs, many +algorithms can benefit from massive parallelism and, in particular, data +parallelism: executing the same code many times simultaneously with different +data. + +You'll implement a few different versions of the *Scan* (*Prefix Sum*) +algorithm. First, you'll implement a CPU version of the algorithm to reinforce +your understanding. Then, you'll write a few GPU implementations: "naive" and +"work-efficient." Finally, you'll use some of these to implement GPU stream +compaction. + +**Algorithm overview & details:** There are two primary references for details +on the implementation of scan and stream compaction. + +* The [slides on Parallel Algorithms](https://docs.google.com/presentation/d/1ETVONA7QDM-WqsEj4qVOGD6Kura5I6E9yqH-7krnwZ0/edit#slide=id.p126) + for Scan, Stream Compaction, and Work-Efficient Parallel Scan. +* GPU Gems 3, Chapter 39 - [Parallel Prefix Sum (Scan) with CUDA](https://developer.nvidia.com/gpugems/GPUGems3/gpugems3_ch39.html). + - This online version contains a few small errors (in superscripting, missing braces, bad indentation, etc.) + - We maintain a fix for this at [GPU Gem 3 Ch 39 Patch](https://github.com/CIS565-Fall-2017/Project2-Stream-Compaction/blob/master/INSTRUCTION.md#gpu-gem-3-ch-39-patch). If you find more errors in the chapter, welcome to open new pull requests to contribute. +* If you are still unclear after reading the steps, take a look at the last chapter - [Algorithm Examples](https://github.com/CIS565-Fall-2017/Project2-Stream-Compaction/blob/master/INSTRUCTION.md#algorithm-examples). +* [Recitation slides](https://docs.google.com/presentation/d/1daOnWHOjMp1sIqMdVsNnvEU1UYynKcEMARc_W6bGnqE/edit?usp=sharing) + +Your GPU stream compaction implementation will live inside of the +`stream_compaction` subproject. In this way, you will be able to easily copy it +over for use in your GPU path tracer. + +## Part 0: The Usual + +This project (and all other CUDA projects in this course) requires an NVIDIA +graphics card with CUDA capability. Any card with Compute Capability 2.0 +(`sm_20`) or greater will work. Check your GPU on this +[compatibility table](https://developer.nvidia.com/cuda-gpus). +If you do not have a personal machine with these specs, you may use the CETS +computers in Moore 100 or the SIG Lab which have supported GPUs. + +### Useful existing code + +* `stream_compaction/common.h` + * `checkCUDAError` macro: checks for CUDA errors and exits if there were any. + * `ilog2ceil(x)`: computes the ceiling of log2(x), as an integer. +* `main.cpp` + * Some testing code for your implementations. + +**Note 1:** The tests will simply compare against your CPU implementation +Do it first! + +**Note 2:** The tests default to an array of size 256. +Test with something larger (10,000? 1,000,000?), too! + +## Part 1: CPU Scan & Stream Compaction + +This stream compaction method will remove `0`s from an array of `int`s. + +Do this first, and double check the output! It will be used as the expected +value for the other tests. + +In `stream_compaction/cpu.cu`, implement: + +* `StreamCompaction::CPU::scan`: compute an exclusive prefix sum. For performance comparison, this is supposed to be a simple `for` loop. But for better understanding before starting moving to GPU, you can simulate the GPU scan in this function first. +* `StreamCompaction::CPU::compactWithoutScan`: stream compaction without using + the `scan` function. +* `StreamCompaction::CPU::compactWithScan`: stream compaction using the `scan` + function. Map the input array to an array of 0s and 1s, scan it, and use + scatter to produce the output. You will need a **CPU** scatter implementation + for this (see slides or GPU Gems chapter for an explanation). + +These implementations should only be a few lines long. + +## Part 2: Naive GPU Scan Algorithm + +In `stream_compaction/naive.cu`, implement `StreamCompaction::Naive::scan` + +This uses the "Naive" algorithm from GPU Gems 3, Section 39.2.1. Example 39-1 uses shared memory. This is not required in this project. You can simply use global memory. As a result of this, you will have to do `ilog2ceil(n)` separate kernel invocations. + +Since your individual GPU threads are not guaranteed to run simultaneously, you +can't generally operate on an array in-place on the GPU; it will cause race +conditions. Instead, create two device arrays. Swap them at each iteration: +read from A and write to B, read from B and write to A, and so on. + +Beware of errors in Example 39-1 in the chapter; both the pseudocode and the CUDA +code in the online version of Chapter 39 are known to have a few small errors +(in superscripting, missing braces, bad indentation, etc.) + +Be sure to test non-power-of-two-sized arrays. + +## Part 3: Work-Efficient GPU Scan & Stream Compaction + +### 3.1. Scan + +In `stream_compaction/efficient.cu`, implement +`StreamCompaction::Efficient::scan` + +Most of the text in Part 2 applies. + +* This uses the "Work-Efficient" algorithm from GPU Gems 3, Section 39.2.2. +* This can be done in place - it doesn't suffer from the race conditions of + the naive method, since there won't be a case where one thread writes to + and another thread reads from the same location in the array. +* Beware of errors in Example 39-2. +* Test non-power-of-two-sized arrays. + +Since the work-efficient scan operates on a binary tree structure, it works +best with arrays with power-of-two length. Make sure your implementation works +on non-power-of-two sized arrays (see `ilog2ceil`). This requires extra memory +- your intermediate array sizes will need to be rounded to the next power of +two. + +### 3.2. Stream Compaction + +This stream compaction method will remove `0`s from an array of `int`s. + +In `stream_compaction/efficient.cu`, implement +`StreamCompaction::Efficient::compact` + +For compaction, you will also need to implement the scatter algorithm presented +in the slides and the GPU Gems chapter. + +In `stream_compaction/common.cu`, implement these for use in `compact`: + +* `StreamCompaction::Common::kernMapToBoolean` +* `StreamCompaction::Common::kernScatter` + +## Part 4: Using Thrust's Implementation + +In `stream_compaction/thrust.cu`, implement: + +* `StreamCompaction::Thrust::scan` + +This should be a very short function which wraps a call to the Thrust library +function `thrust::exclusive_scan(first, last, result)`. + +To measure timing, be sure to exclude memory operations by passing +`exclusive_scan` a `thrust::device_vector` (which is already allocated on the +GPU). You can create a `thrust::device_vector` by creating a +`thrust::host_vector` from the given pointer, then casting it. + +For thrust stream compaction, take a look at [thrust::remove_if](https://thrust.github.io/doc/group__stream__compaction.html). It's not required to analyze `thrust::remove_if` but you're encouraged to do so. + +## Part 5: Why is My GPU Approach So Slow? (Extra Credit) (+5) + +If you implement your efficient scan version following the slides closely, there's a good chance +that you are getting an "efficient" gpu scan that is actually not that efficient -- it is slower than the cpu approach? + +Though it is totally acceptable for this assignment, +In addition to explain the reason of this phenomena, you are encouraged to try to upgrade your work-efficient gpu scan. + +Thinking about these may lead you to an aha moment: +- What is the occupancy at a deeper level in the upper/down sweep? Are most threads actually working? +- Are you always launching the same number of blocks throughout each level of the upper/down sweep? +- If some threads are being lazy, can we do an early termination on them? +- How can I compact the threads? What should I modify to keep the remaining threads still working correctly? + +Keep in mind this optimization won't need you change a lot of your code structures. +It's all about some index calculation hacks. + +If you don't run into the slower gpu approach. +Congratulations! You are way ahead and you earn this extra credit automatically. + +## Part 6: Radix Sort (Extra Credit) (+10) + +Add an additional module to the `stream_compaction` subproject. Implement radix +sort using one of your scan implementations. Add tests to check its correctness. + +## Part 7: GPU Scan Using Shared Memory && Hardware Optimization(Extra Credit) (+10) + +Implement [GPU Gem Ch 39](https://developer.nvidia.com/gpugems/GPUGems3/gpugems3_ch39.html) Example 39.1, 39.2. + +Notice that the size of the shared memory is dynamic and related to the block size. Since each SM has limited shared memory, the block size you set will affect the occupancy of the blocks in each SM. For example, let's say your graphics card has N Kb of shared memory per SM, if you use the maximum of N Kb shared memory per block, then you would have a max occupancy of 1 block per SM. This might not be the best performance. + +Besides we can optimize the efficiency by changing our memory access pattern to avoid bank conflicts. See [GPU Gem Ch 39](https://developer.nvidia.com/gpugems/GPUGems3/gpugems3_ch39.html) Section 39.2.3. This hasn't been covered in the course but we encourage you to challenge yourself. + +## Write-up + +1. Update all of the TODOs at the top of your `README.md`. +2. Add a description of this project including a list of its features. +3. Add your performance analysis (see below). + +All extra credit features must be documented in your `README.md`, explaining its +value (with performance comparison, if applicable!) and showing an example how +it works. For radix sort, show how it is called and an example of its output. + +Always profile with Release mode builds and run without debugging. + +### Questions + +* Roughly optimize the block sizes of each of your implementations for minimal + run time on your GPU. + * (You shouldn't compare unoptimized implementations to each other!) + +* Compare all of these GPU Scan implementations (Naive, Work-Efficient, and + Thrust) to the serial CPU version of Scan. Plot a graph of the comparison + (with array size on the independent axis). + * We wrapped up both CPU and GPU timing functions as a performance timer class for you to conveniently measure the time cost. + * We use `std::chrono` to provide CPU high-precision timing and CUDA event to measure the CUDA performance. + * For CPU, put your CPU code between `timer().startCpuTimer()` and `timer().endCpuTimer()`. + * For GPU, put your CUDA code between `timer().startGpuTimer()` and `timer().endGpuTimer()`. Be sure **not** to include any *initial/final* memory operations (`cudaMalloc`, `cudaMemcpy`) in your performance measurements, for comparability. + * Don't mix up `CpuTimer` and `GpuTimer`. + * To guess at what might be happening inside the Thrust implementation (e.g. + allocation, memory copy), take a look at the Nsight timeline for its + execution. Your analysis here doesn't have to be detailed, since you aren't + even looking at the code for the implementation. + +* Write a brief explanation of the phenomena you see here. + * Can you find the performance bottlenecks? Is it memory I/O? Computation? Is + it different for each implementation? + +* Paste the output of the test program into a triple-backtick block in your + README. + * If you add your own tests (e.g. for radix sort or to test additional corner + cases), be sure to mention it explicitly. + +These questions should help guide you in performance analysis on future +assignments, as well. + +## Submit + +If you have modified any of the `CMakeLists.txt` files at all (aside from the +list of `SOURCE_FILES`), mentions it explicity. +Beware of any build issues discussed on the Google Group. + +Open a GitHub pull request so that we can see that you have finished. +The title should be "Project 2: YOUR NAME". +The template of the comment section of your pull request is attached below, you can do some copy and paste: + +* [Repo Link](https://link-to-your-repo) +* (Briefly) Mentions features that you've completed. Especially those bells and whistles you want to highlight + * Feature 0 + * Feature 1 + * ... +* Feedback on the project itself, if any. + +## GPU Gem 3 Ch 39 Patch + +* Example 1 +![](img/example-1.png) + +* Example 2 +![](img/example-2.jpg) + +* Figure-39-4 +![](img/figure-39-4.jpg) + +* Figure-39-2. This image shows an naive inclusive scan. We should convert this to an exclusive one for compaction. +![](img/figure-39-2.jpg) + +## Algorithm Examples + +* scan: + - goal: produce a prefix sum array of a given array (we only care about exclusive scan here) + - input + - [1 5 0 1 2 0 3] + - output + - [0 1 6 6 7 9 9] +* compact: + - goal: closely and neatly packed the elements != 0 + - input + - [1 5 0 1 2 0 3] + - output + - [1 5 1 2 3] +* compactWithoutScan (CPU) + - an implementation of compact. So the goal, input and output should all be the same as compact + - Simply loop through the input array, meanwhile maintain a pointer indicating which address shall we put the next non-zero element +* compactWithScan (CPU/GPU) + - an implementation of compact. So the goal, input and output should all be the same as compact + - 3 steps + - map + + goal: map our original data array (integer, Light Ray, etc) to a bool array + + input + - [1 5 0 1 2 0 3] + + output + - [1 1 0 1 1 0 1] + - scan + + take the output of last step as input + + input + - [1 1 0 1 1 0 1] + + output + - [0 1 2 2 3 4 4] + - scatter + + preserve non-zero elements and compact them into a new array + + input: + + original array + - [1 5 0 1 2 0 3] + + mapped array + - [1 1 0 1 1 0 1] + + scanned array + - [0 1 2 2 3 4 4] + + output: + - [1 5 1 2 3] + + This can be done in parallel on GPU + + You can try multi-threading on CPU if you want (not required and not our focus) + + for each element input[i] in original array + - if it's non-zero (given by mapped array) + - then put it at output[index], where index = scanned[i] diff --git a/stream_compaction/README.md b/stream_compaction/README.md new file mode 100644 index 00000000..003c99f1 --- /dev/null +++ b/stream_compaction/README.md @@ -0,0 +1,42 @@ +CUDA Stream Compaction +====================== + +**University of Pennsylvania, CIS 565: GPU Programming and Architecture, Project 2** + +* Zhangkaiwen Chu + * [LinkedIn](https://www.linkedin.com/in/zhangkaiwen-chu-b53060225/) +* Tested on: Windows 10, R7-5800H @ 3.20GHz 16GB, RTX 3070 Laptop GPU 16310MB (Personal Laptop) + +This project implement GPU stream compaction in CUDA from scratch, including naive scan and work-efficient scan described in GPU Gem3 Ch39. + +## Features: +* CPU Scan & Stream Compaction +* Naive GPU Scan Algorithm +* Work-Efficient GPU Scan & Stream Compaction +* Thrust's Scan + +## Optimize Block Size: +Tested with array size = 2^28 +![](img/1.png) +* Optimal block size for naive scan: 128 +* Optimal block size for naive scan: 128 + +## Scan Performance Comparation +![](img/2.png) + +## Compact Performance Comparation +![](img/3.png) + +## Analysis +The bottlenecks for different implementation is different, and it varys with different array size. + +* For cpu implementation, the run time is always linear with the array size. The bottleneck should be the memory I/O. +* For naive scan, it first scales with the log of array size, then becomes linear. Note that the total commputation is linear, while, the number of function calls are log, so I think when the array size is small, the branch divergence and function calls are the predominant factor, while when the array size is large, the memory I/O is the main factor. +* For work-efficient scan, the pattern is alike. However, it is much slower when the array size is small. I found that cudaDeviceSynchronize() consumes most of the time. Note that the number of calls to synchronization also scales with log of array size. When the array size is large, memory I/O becomes the main factor. +* The thrust implementation is very efficient. It seems to change blocksize dynamically, and have fewer memory I/O. + +## Why is My GPU Approach So Slow? +My work-efficient implementation outperforme cpu version with array size larger than 2^24. It is really a large array size, so it shows my implementation is not that efficient. Most threads in upper/down sweep is not working. However when the arraysize is very large, the compuitation advantage overcomes the overhead. + +## Output of the Test Program +![](img/4.png) \ No newline at end of file diff --git a/stream_compaction/Untitled.ipynb b/stream_compaction/Untitled.ipynb new file mode 100644 index 00000000..d2f566b2 --- /dev/null +++ b/stream_compaction/Untitled.ipynb @@ -0,0 +1,134 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "id": "3baafad3-1245-4453-8da6-f02c7cd9c38f", + "metadata": {}, + "outputs": [], + "source": [ + "from matplotlib import pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "abfc9211-06bb-4770-8e95-257558632c2c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(dpi=1200,figsize=[8,6])\n", + "plt.loglog([2**x for x in [10,12,14,16,18,20,22,24,26,28]],[0.0008,0.0024,0.0096,0.0414,0.1511,0.6225,2.951,10.9567,42.156,168],c='b',label='cpu')\n", + "plt.loglog([2**x for x in [10,12,14,16,18,20,22,24,26,28]],[0.0225,0.0266,0.0328,0.0430,0.0748,0.4669,1.9323,8.4633,37.6361,166],c='k',label='naive')\n", + "plt.loglog([2**x for x in [10,12,14,16,18,20,22,24,26,28]],[0.7383,0.8795,1.0527,1.1510,1.4203,2.1598,3.7325,9.3717,30.2122,117],c='r',label='efficient')\n", + "plt.loglog([2**x for x in [10,12,14,16,18,20,22,24,26,28]],[0.0440,0.0409,0.0481,0.0645,0.1370,0.1692,0.2424,0.5017,1.46,5.33],c='y',label='thrust')\n", + "plt.xlabel('array size')\n", + "plt.ylabel('time elapsed (ms)')\n", + "plt.legend()\n", + "plt.savefig('2.png',dpi=1200)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(dpi=1200,figsize=[8,6])\n", + "plt.loglog([2**x for x in [10,12,14,16,18,20,22,24,26,28]],[0.0019,0.0097,0.0289,0.1409,0.4751,1.9449,7.2445,28.6733,111.043,443],c='b',label='cpu without scan')\n", + "plt.loglog([2**x for x in [10,12,14,16,18,20,22,24,26,28]],[0.003,0.0118,0.0603,0.2109,0.7731,3.0235,11.6015,46.6513,183.475,757],c='k',label='cpu with scan ')\n", + "plt.loglog([2**x for x in [10,12,14,16,18,20,22,24,26,28]],[0.9379,1.4643,1.0885,1.2196,1.4448,1.9753,3.7079,10.1499,35.0106,136],c='r',label='efficent')\n", + "\n", + "plt.xlabel('array size')\n", + "plt.ylabel('time elapsed (ms)')\n", + "plt.legend()\n", + "plt.savefig('3.png',dpi=1200)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "dd0fa939-8b99-492e-b143-2e4632ec8da6", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.7" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/stream_compaction/cmake/CUDAComputesList.cmake b/stream_compaction/cmake/CUDAComputesList.cmake new file mode 100644 index 00000000..3156a63d --- /dev/null +++ b/stream_compaction/cmake/CUDAComputesList.cmake @@ -0,0 +1,101 @@ +## CUDA Compute detection code +## Sourced from ArrayFire https://github.com/arrayfire/arrayfire/ +## Under BSD-3 Clause License https://github.com/arrayfire/arrayfire/blob/devel/LICENSE + +#Disables running cuda_compute_check.c when build windows using remote +OPTION(CUDA_COMPUTE_DETECT "Run autodetection of CUDA Architecture" ON) +MARK_AS_ADVANCED(CUDA_COMPUTE_DETECT) + +IF(CUDA_COMPUTE_DETECT AND NOT DEFINED COMPUTES_DETECTED_LIST) + ############################# + #Sourced from: + #https://raw.githubusercontent.com/jwetzl/CudaLBFGS/master/CheckComputeCapability.cmake + ############################# + # Check for GPUs present and their compute capability + # based on http://stackoverflow.com/questions/2285185/easiest-way-to-test-for-existence-of-cuda-capable-gpu-from-cmake/2297877#2297877 (Christopher Bruns) + + IF(CUDA_FOUND) + MESSAGE(STATUS "${CMAKE_MODULE_PATH}/cuda_compute_capability.cpp") + + TRY_RUN(RUN_RESULT_VAR COMPILE_RESULT_VAR + ${PROJECT_BINARY_DIR} + ${CMAKE_MODULE_PATH}/cuda_compute_capability.cpp + CMAKE_FLAGS + -DINCLUDE_DIRECTORIES:STRING=${CUDA_TOOLKIT_INCLUDE} + -DLINK_LIBRARIES:STRING=${CUDA_CUDART_LIBRARY} + COMPILE_OUTPUT_VARIABLE COMPILE_OUTPUT_VAR + RUN_OUTPUT_VARIABLE RUN_OUTPUT_VAR) + + MESSAGE(STATUS "CUDA Compute Detection Output: ${RUN_OUTPUT_VAR}") + MESSAGE(STATUS "CUDA Compute Detection Return: ${RUN_RESULT_VAR}") + + # COMPILE_RESULT_VAR is TRUE when compile succeeds + # Check Return Value of main() from RUN_RESULT_VAR + # RUN_RESULT_VAR is 0 when a GPU is found + # RUN_RESULT_VAR is 1 when errors occur + + IF(COMPILE_RESULT_VAR AND RUN_RESULT_VAR EQUAL 0) + MESSAGE(STATUS "CUDA Compute Detection Worked") + # Convert output into a list of computes + STRING(REPLACE " " ";" COMPUTES_DETECTED_LIST ${RUN_OUTPUT_VAR}) + SET(CUDA_HAVE_GPU TRUE CACHE BOOL "Whether CUDA-capable GPU is present") + ELSE() + MESSAGE(STATUS "CUDA Compute Detection Failed") + SET(CUDA_HAVE_GPU FALSE CACHE BOOL "Whether CUDA-capable GPU is present") + ENDIF() + ENDIF(CUDA_FOUND) +ENDIF() + +IF( CUDA_COMPUTE_20 + OR CUDA_COMPUTE_30 + OR CUDA_COMPUTE_32 + OR CUDA_COMPUTE_35 + OR CUDA_COMPUTE_37 + OR CUDA_COMPUTE_50 + OR CUDA_COMPUTE_52 + OR CUDA_COMPUTE_53 + OR CUDA_COMPUTE_60 + OR CUDA_COMPUTE_61 + OR CUDA_COMPUTE_62 + OR CUDA_COMPUTE_70 + OR CUDA_COMPUTE_72 + OR CUDA_COMPUTE_75 + OR CUDA_COMPUTE_80 + OR CUDA_COMPUTE_86 + ) + SET(FALLBACK OFF) +ELSE() + SET(FALLBACK ON) +ENDIF() + +LIST(LENGTH COMPUTES_DETECTED_LIST COMPUTES_LEN) +IF(${COMPUTES_LEN} EQUAL 0 AND ${FALLBACK}) + MESSAGE(STATUS "You can use -DCOMPUTES_DETECTED_LIST=\"AB;XY\" (semicolon separated list of CUDA Compute versions to enable the specified computes") + MESSAGE(STATUS "Individual compute versions flags are also available under CMake Advance options") + LIST(APPEND COMPUTES_DETECTED_LIST "30" "50" "60" "70" "80") + MESSAGE(STATUS "No computes detected. Fall back to 30, 50, 60, 70, 80") +ENDIF() + +LIST(LENGTH COMPUTES_DETECTED_LIST COMPUTES_LEN) +MESSAGE(STATUS "Number of Computes Detected = ${COMPUTES_LEN}") + +FOREACH(COMPUTE_DETECTED ${COMPUTES_DETECTED_LIST}) + SET(CUDA_COMPUTE_${COMPUTE_DETECTED} ON CACHE BOOL "" FORCE) +ENDFOREACH() + +MACRO(SET_COMPUTE VERSION) + SET(CUDA_GENERATE_CODE_${VERSION} "-gencode arch=compute_${VERSION},code=sm_${VERSION}") + SET(CUDA_GENERATE_CODE ${CUDA_GENERATE_CODE} ${CUDA_GENERATE_CODE_${VERSION}}) + LIST(APPEND COMPUTE_VERSIONS "${VERSION}") + ADD_DEFINITIONS(-DCUDA_COMPUTE_${VERSION}) + MESSAGE(STATUS "Setting Compute ${VERSION} to ON") +ENDMACRO(SET_COMPUTE) + +# Iterate over compute versions. Create variables and enable computes if needed +FOREACH(VER 20 30 32 35 37 50 52 53 60 61 62 70 72 75 80 86) + OPTION(CUDA_COMPUTE_${VER} "CUDA Compute Capability ${VER}" OFF) + MARK_AS_ADVANCED(CUDA_COMPUTE_${VER}) + IF(${CUDA_COMPUTE_${VER}}) + SET_COMPUTE(${VER}) + ENDIF() +ENDFOREACH() diff --git a/stream_compaction/cmake/cuda_compute_capability.cpp b/stream_compaction/cmake/cuda_compute_capability.cpp new file mode 100644 index 00000000..ef589a99 --- /dev/null +++ b/stream_compaction/cmake/cuda_compute_capability.cpp @@ -0,0 +1,58 @@ +/* +* Copyright (C) 2011 Florian Rathgeber, florian.rathgeber@gmail.com +* +* This code is licensed under the MIT License. See the FindCUDA.cmake script +* for the text of the license. +* +* Based on code by Christopher Bruns published on Stack Overflow (CC-BY): +* http://stackoverflow.com/questions/2285185 +*/ + +#include +#include +#include +#include + +int main() { + int deviceCount; + int gpuDeviceCount = 0; + struct cudaDeviceProp properties; + + if (cudaGetDeviceCount(&deviceCount) != cudaSuccess) + { + printf("Couldn't get device count: %s\n", cudaGetErrorString(cudaGetLastError())); + return 1; + } + + std::set computes; + typedef std::set::iterator iter; + + // machines with no GPUs can still report one emulation device + for (int device = 0; device < deviceCount; ++device) { + int major = 9999, minor = 9999; + cudaGetDeviceProperties(&properties, device); + if (properties.major != 9999) { // 9999 means emulation only + ++gpuDeviceCount; + major = properties.major; + minor = properties.minor; + if ((major == 2 && minor == 1)) { + // There is no --arch compute_21 flag for nvcc, so force minor to 0 + minor = 0; + } + computes.insert(10 * major + minor); + } + } + int i = 0; + for(iter it = computes.begin(); it != computes.end(); it++, i++) { + if(i > 0) { + printf(" "); + } + printf("%d", *it); + } + /* don't just return the number of gpus, because other runtime cuda + errors can also yield non-zero return values */ + if (gpuDeviceCount <= 0 || computes.size() <= 0) { + return 1; // failure + } + return 0; // success +} diff --git a/stream_compaction/img/1.png b/stream_compaction/img/1.png new file mode 100644 index 00000000..e425ef60 Binary files /dev/null and b/stream_compaction/img/1.png differ diff --git a/stream_compaction/img/2.png b/stream_compaction/img/2.png new file mode 100644 index 00000000..10261df8 Binary files /dev/null and b/stream_compaction/img/2.png differ diff --git a/stream_compaction/img/3.png b/stream_compaction/img/3.png new file mode 100644 index 00000000..4fd580a7 Binary files /dev/null and b/stream_compaction/img/3.png differ diff --git a/stream_compaction/img/4.png b/stream_compaction/img/4.png new file mode 100644 index 00000000..d163525a Binary files /dev/null and b/stream_compaction/img/4.png differ diff --git a/stream_compaction/img/example-1.png b/stream_compaction/img/example-1.png new file mode 100644 index 00000000..28633a6f Binary files /dev/null and b/stream_compaction/img/example-1.png differ diff --git a/stream_compaction/img/example-2.jpg b/stream_compaction/img/example-2.jpg new file mode 100644 index 00000000..984c2fd2 Binary files /dev/null and b/stream_compaction/img/example-2.jpg differ diff --git a/stream_compaction/img/figure-39-2.jpg b/stream_compaction/img/figure-39-2.jpg new file mode 100644 index 00000000..bc9f9da7 Binary files /dev/null and b/stream_compaction/img/figure-39-2.jpg differ diff --git a/stream_compaction/img/figure-39-4.jpg b/stream_compaction/img/figure-39-4.jpg new file mode 100644 index 00000000..5888f20d Binary files /dev/null and b/stream_compaction/img/figure-39-4.jpg differ diff --git a/stream_compaction/src/main.cpp b/stream_compaction/src/main.cpp new file mode 100644 index 00000000..e721b7a2 --- /dev/null +++ b/stream_compaction/src/main.cpp @@ -0,0 +1,154 @@ +/** + * @file main.cpp + * @brief Stream compaction test program + * @authors Kai Ninomiya + * @date 2015 + * @copyright University of Pennsylvania + */ + +#include +#include +#include +#include +#include +#include "testing_helpers.hpp" + +const int SIZE = 1 << 28; // feel free to change the size of array +const int NPOT = SIZE - 3; // Non-Power-Of-Two +int *a = new int[SIZE]; +int *b = new int[SIZE]; +int *c = new int[SIZE]; + +int main(int argc, char* argv[]) { + // Scan tests + + printf("\n"); + printf("****************\n"); + printf("** SCAN TESTS **\n"); + printf("****************\n"); + + genArray(SIZE - 1, a, 50); // Leave a 0 at the end to test that edge case + a[SIZE - 1] = 0; + printArray(SIZE, a, true); + + // initialize b using StreamCompaction::CPU::scan you implement + // We use b for further comparison. Make sure your StreamCompaction::CPU::scan is correct. + // At first all cases passed because b && c are all zeroes. + zeroArray(SIZE, b); + printDesc("cpu scan, power-of-two"); + StreamCompaction::CPU::scan(SIZE, b, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + printArray(SIZE, b, true); + + zeroArray(SIZE, c); + printDesc("cpu scan, non-power-of-two"); + StreamCompaction::CPU::scan(NPOT, c, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + printArray(NPOT, b, true); + printCmpResult(NPOT, b, c); + + zeroArray(SIZE, c); + printDesc("naive scan, power-of-two"); + StreamCompaction::Naive::scan(SIZE, c, a); + printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); + + /* For bug-finding only: Array of 1s to help find bugs in stream compaction or scan + onesArray(SIZE, c); + printDesc("1s array for finding bugs"); + StreamCompaction::Naive::scan(SIZE, c, a); + printArray(SIZE, c, true); */ + + zeroArray(SIZE, c); + printDesc("naive scan, non-power-of-two"); + StreamCompaction::Naive::scan(NPOT, c, a); + printElapsedTime(StreamCompaction::Naive::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(SIZE, c, true); + printCmpResult(NPOT, b, c); + + zeroArray(SIZE, c); + printDesc("work-efficient scan, power-of-two"); + StreamCompaction::Efficient::scan(SIZE, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); + + zeroArray(SIZE, c); + printDesc("work-efficient scan, non-power-of-two"); + StreamCompaction::Efficient::scan(NPOT, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(NPOT, c, true); + printCmpResult(NPOT, b, c); + + zeroArray(SIZE, c); + printDesc("thrust scan, power-of-two"); + StreamCompaction::Thrust::scan(SIZE, c, a); + printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(SIZE, c, true); + printCmpResult(SIZE, b, c); + + zeroArray(SIZE, c); + printDesc("thrust scan, non-power-of-two"); + StreamCompaction::Thrust::scan(NPOT, c, a); + printElapsedTime(StreamCompaction::Thrust::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(NPOT, c, true); + printCmpResult(NPOT, b, c); + + printf("\n"); + printf("*****************************\n"); + printf("** STREAM COMPACTION TESTS **\n"); + printf("*****************************\n"); + + // Compaction tests + + genArray(SIZE - 1, a, 4); // Leave a 0 at the end to test that edge case + a[SIZE - 1] = 0; + printArray(SIZE, a, true); + + int count, expectedCount, expectedNPOT; + + // initialize b using StreamCompaction::CPU::compactWithoutScan you implement + // We use b for further comparison. Make sure your StreamCompaction::CPU::compactWithoutScan is correct. + zeroArray(SIZE, b); + printDesc("cpu compact without scan, power-of-two"); + count = StreamCompaction::CPU::compactWithoutScan(SIZE, b, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + expectedCount = count; + printArray(count, b, true); + printCmpLenResult(count, expectedCount, b, b); + + zeroArray(SIZE, c); + printDesc("cpu compact without scan, non-power-of-two"); + count = StreamCompaction::CPU::compactWithoutScan(NPOT, c, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + expectedNPOT = count; + printArray(count, c, true); + printCmpLenResult(count, expectedNPOT, b, c); + + zeroArray(SIZE, c); + printDesc("cpu compact with scan"); + count = StreamCompaction::CPU::compactWithScan(SIZE, c, a); + printElapsedTime(StreamCompaction::CPU::timer().getCpuElapsedTimeForPreviousOperation(), "(std::chrono Measured)"); + printArray(count, c, true); + printCmpLenResult(count, expectedCount, b, c); + + zeroArray(SIZE, c); + printDesc("work-efficient compact, power-of-two"); + count = StreamCompaction::Efficient::compact(SIZE, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(count, c, true); + printCmpLenResult(count, expectedCount, b, c); + + zeroArray(SIZE, c); + printDesc("work-efficient compact, non-power-of-two"); + count = StreamCompaction::Efficient::compact(NPOT, c, a); + printElapsedTime(StreamCompaction::Efficient::timer().getGpuElapsedTimeForPreviousOperation(), "(CUDA Measured)"); + //printArray(count, c, true); + printCmpLenResult(count, expectedNPOT, b, c); + + system("pause"); // stop Win32 console from closing on exit + delete[] a; + delete[] b; + delete[] c; +} diff --git a/stream_compaction/src/testing_helpers.hpp b/stream_compaction/src/testing_helpers.hpp new file mode 100644 index 00000000..025e94aa --- /dev/null +++ b/stream_compaction/src/testing_helpers.hpp @@ -0,0 +1,76 @@ +#pragma once + +#include +#include +#include +#include +#include + +template +int cmpArrays(int n, T *a, T *b) { + for (int i = 0; i < n; i++) { + if (a[i] != b[i]) { + printf(" a[%d] = %d, b[%d] = %d\n", i, a[i], i, b[i]); + return 1; + } + } + return 0; +} + +void printDesc(const char *desc) { + printf("==== %s ====\n", desc); +} + +template +void printCmpResult(int n, T *a, T *b) { + printf(" %s \n", + cmpArrays(n, a, b) ? "FAIL VALUE" : "passed"); +} + +template +void printCmpLenResult(int n, int expN, T *a, T *b) { + if (n != expN) { + printf(" expected %d elements, got %d\n", expN, n); + } + printf(" %s \n", + (n == -1 || n != expN) ? "FAIL COUNT" : + cmpArrays(n, a, b) ? "FAIL VALUE" : "passed"); +} + +void zeroArray(int n, int *a) { + for (int i = 0; i < n; i++) { + a[i] = 0; + } +} + +void onesArray(int n, int *a) { + for (int i = 0; i < n; i++) { + a[i] = 1; + } +} + +void genArray(int n, int *a, int maxval) { + srand(time(nullptr)); + + for (int i = 0; i < n; i++) { + a[i] = rand() % maxval; + } +} + +void printArray(int n, int *a, bool abridged = false) { + printf(" [ "); + for (int i = 0; i < n; i++) { + if (abridged && i + 2 == 15 && n > 16) { + i = n - 2; + printf("... "); + } + printf("%3d ", a[i]); + } + printf("]\n"); +} + +template +void printElapsedTime(T time, std::string note = "") +{ + std::cout << " elapsed time: " << time << "ms " << note << std::endl; +} diff --git a/stream_compaction/stream_compaction/CMakeLists.txt b/stream_compaction/stream_compaction/CMakeLists.txt new file mode 100644 index 00000000..567795b1 --- /dev/null +++ b/stream_compaction/stream_compaction/CMakeLists.txt @@ -0,0 +1,23 @@ +set(headers + "common.h" + "cpu.h" + "naive.h" + "efficient.h" + "thrust.h" + ) + +set(sources + "common.cu" + "cpu.cu" + "naive.cu" + "efficient.cu" + "thrust.cu" + ) + +list(SORT headers) +list(SORT sources) + +source_group(Headers FILES ${headers}) +source_group(Sources FILES ${sources}) + +cuda_add_library(stream_compaction ${sources} ${headers}) diff --git a/stream_compaction/stream_compaction/common.cu b/stream_compaction/stream_compaction/common.cu new file mode 100644 index 00000000..1c19f4d7 --- /dev/null +++ b/stream_compaction/stream_compaction/common.cu @@ -0,0 +1,51 @@ +#include "common.h" + +void checkCUDAErrorFn(const char *msg, const char *file, int line) { + cudaError_t err = cudaGetLastError(); + if (cudaSuccess == err) { + return; + } + + fprintf(stderr, "CUDA error"); + if (file) { + fprintf(stderr, " (%s:%d)", file, line); + } + fprintf(stderr, ": %s: %s\n", msg, cudaGetErrorString(err)); + exit(EXIT_FAILURE); +} + + +namespace StreamCompaction { + namespace Common { + + /** + * Maps an array to an array of 0s and 1s for stream compaction. Elements + * which map to 0 will be removed, and elements which map to 1 will be kept. + */ + __global__ void kernMapToBoolean(int n, int *bools, const int *idata) { + // TODO + int index = threadIdx.x + (blockIdx.x * blockDim.x); + if (index >= n) { + return; + } + bools[index] = idata[index] == 0 ? 0 : 1; + } + + /** + * Performs scatter on an array. That is, for each element in idata, + * if bools[idx] == 1, it copies idata[idx] to odata[indices[idx]]. + */ + __global__ void kernScatter(int n, int *odata, + const int *idata, const int *bools, const int *indices) { + // TODO + int index = threadIdx.x + (blockIdx.x * blockDim.x); + if (index >= n) { + return; + } + if (bools[index] != 0) { + odata[indices[index]] = idata[index]; + } + } + + } +} diff --git a/stream_compaction/stream_compaction/common.h b/stream_compaction/stream_compaction/common.h new file mode 100644 index 00000000..d2c1fed9 --- /dev/null +++ b/stream_compaction/stream_compaction/common.h @@ -0,0 +1,132 @@ +#pragma once + +#include +#include + +#include +#include +#include +#include +#include +#include + +#define FILENAME (strrchr(__FILE__, '/') ? strrchr(__FILE__, '/') + 1 : __FILE__) +#define checkCUDAError(msg) checkCUDAErrorFn(msg, FILENAME, __LINE__) + +/** + * Check for CUDA errors; print and exit if there was a problem. + */ +void checkCUDAErrorFn(const char *msg, const char *file = NULL, int line = -1); + +inline int ilog2(int x) { + int lg = 0; + while (x >>= 1) { + ++lg; + } + return lg; +} + +inline int ilog2ceil(int x) { + return x == 1 ? 0 : ilog2(x - 1) + 1; +} + +namespace StreamCompaction { + namespace Common { + __global__ void kernMapToBoolean(int n, int *bools, const int *idata); + + __global__ void kernScatter(int n, int *odata, + const int *idata, const int *bools, const int *indices); + + /** + * This class is used for timing the performance + * Uncopyable and unmovable + * + * Adapted from WindyDarian(https://github.com/WindyDarian) + */ + class PerformanceTimer + { + public: + PerformanceTimer() + { + cudaEventCreate(&event_start); + cudaEventCreate(&event_end); + } + + ~PerformanceTimer() + { + cudaEventDestroy(event_start); + cudaEventDestroy(event_end); + } + + void startCpuTimer() + { + if (cpu_timer_started) { throw std::runtime_error("CPU timer already started"); } + cpu_timer_started = true; + + time_start_cpu = std::chrono::high_resolution_clock::now(); + } + + void endCpuTimer() + { + time_end_cpu = std::chrono::high_resolution_clock::now(); + + if (!cpu_timer_started) { throw std::runtime_error("CPU timer not started"); } + + std::chrono::duration duro = time_end_cpu - time_start_cpu; + prev_elapsed_time_cpu_milliseconds = + static_cast(duro.count()); + + cpu_timer_started = false; + } + + void startGpuTimer() + { + if (gpu_timer_started) { throw std::runtime_error("GPU timer already started"); } + gpu_timer_started = true; + + cudaEventRecord(event_start); + } + + void endGpuTimer() + { + cudaEventRecord(event_end); + cudaEventSynchronize(event_end); + + if (!gpu_timer_started) { throw std::runtime_error("GPU timer not started"); } + + cudaEventElapsedTime(&prev_elapsed_time_gpu_milliseconds, event_start, event_end); + gpu_timer_started = false; + } + + float getCpuElapsedTimeForPreviousOperation() //noexcept //(damn I need VS 2015 + { + return prev_elapsed_time_cpu_milliseconds; + } + + float getGpuElapsedTimeForPreviousOperation() //noexcept + { + return prev_elapsed_time_gpu_milliseconds; + } + + // remove copy and move functions + PerformanceTimer(const PerformanceTimer&) = delete; + PerformanceTimer(PerformanceTimer&&) = delete; + PerformanceTimer& operator=(const PerformanceTimer&) = delete; + PerformanceTimer& operator=(PerformanceTimer&&) = delete; + + private: + cudaEvent_t event_start = nullptr; + cudaEvent_t event_end = nullptr; + + using time_point_t = std::chrono::high_resolution_clock::time_point; + time_point_t time_start_cpu; + time_point_t time_end_cpu; + + bool cpu_timer_started = false; + bool gpu_timer_started = false; + + float prev_elapsed_time_cpu_milliseconds = 0.f; + float prev_elapsed_time_gpu_milliseconds = 0.f; + }; + } +} diff --git a/stream_compaction/stream_compaction/cpu.cu b/stream_compaction/stream_compaction/cpu.cu new file mode 100644 index 00000000..b8cf6c00 --- /dev/null +++ b/stream_compaction/stream_compaction/cpu.cu @@ -0,0 +1,73 @@ +#include +#include "cpu.h" + +#include "common.h" + +namespace StreamCompaction { + namespace CPU { + using StreamCompaction::Common::PerformanceTimer; + PerformanceTimer& timer() + { + static PerformanceTimer timer; + return timer; + } + + /** + * CPU scan (prefix sum). + * For performance analysis, this is supposed to be a simple for loop. + * (Optional) For better understanding before starting moving to GPU, you can simulate your GPU scan in this function first. + */ + void scan(int n, int *odata, const int *idata) { + timer().startCpuTimer(); + // TODO + odata[0] = 0; + for (int i = 1; i < n; i++) { + odata[i] = odata[i - 1] + idata[i - 1]; + } + timer().endCpuTimer(); + } + + /** + * CPU stream compaction without using the scan function. + * + * @returns the number of elements remaining after compaction. + */ + int compactWithoutScan(int n, int *odata, const int *idata) { + timer().startCpuTimer(); + // TODO + int i = 0; + for (int j = 0; j < n; j++) { + if (idata[j] != 0) { + odata[i] = idata[j]; + i++; + } + } + timer().endCpuTimer(); + return i; + } + + /** + * CPU stream compaction using scan and scatter, like the parallel version. + * + * @returns the number of elements remaining after compaction. + */ + int compactWithScan(int n, int *odata, const int *idata) { + + // TODO + int* temp = new int[n]; + timer().startCpuTimer(); +// scan(n, temp, idata); + temp[0] = 0; + for (int i = 1; i < n; i++) { + temp[i] = temp[i - 1] + (idata[i - 1] == 0 ? 0 : 1); + } + for (int i = 0; i < n; i++) { + if (idata[i] != 0) { + odata[temp[i]] = idata[i]; + } + } + timer().endCpuTimer(); + return temp[n-1]; + } + } +} diff --git a/stream_compaction/stream_compaction/cpu.h b/stream_compaction/stream_compaction/cpu.h new file mode 100644 index 00000000..873c0476 --- /dev/null +++ b/stream_compaction/stream_compaction/cpu.h @@ -0,0 +1,15 @@ +#pragma once + +#include "common.h" + +namespace StreamCompaction { + namespace CPU { + StreamCompaction::Common::PerformanceTimer& timer(); + + void scan(int n, int *odata, const int *idata); + + int compactWithoutScan(int n, int *odata, const int *idata); + + int compactWithScan(int n, int *odata, const int *idata); + } +} diff --git a/stream_compaction/stream_compaction/efficient.cu b/stream_compaction/stream_compaction/efficient.cu new file mode 100644 index 00000000..b05efc9a --- /dev/null +++ b/stream_compaction/stream_compaction/efficient.cu @@ -0,0 +1,138 @@ +#include +#include +#include "common.h" +#include "efficient.h" + +#define blockSize 128 + +namespace StreamCompaction { + namespace Efficient { + using StreamCompaction::Common::PerformanceTimer; + PerformanceTimer& timer() + { + static PerformanceTimer timer; + return timer; + } + + __global__ void kernUpSweep(int n, int d, int* x) { + int index = threadIdx.x + (blockIdx.x * blockDim.x); + if (index >= n) { + return; + } + if (index % (1 << (d + 1)) == 0) { + x[index + (1 << (d + 1)) - 1] += x[index + (1 << d) - 1]; + } + } + + __global__ void kernDownSweep(int n, int d, int* x) { + int index = threadIdx.x + (blockIdx.x * blockDim.x); + if (index >= n) { + return; + } + if (index % (1 << (d + 1)) == 0) { + int t = x[index + (1 << d) - 1]; + x[index + (1 << d) - 1] = x[index + (1 << (d+1)) - 1]; + x[index + (1 << (d + 1)) - 1] = t + x[index + (1 << (d + 1)) - 1]; + } + } + + + /** + * Performs prefix-sum (aka scan) on idata, storing the result into odata. + */ + void scan(int n, int* odata, const int* idata) { + int* dev_idata; + int size = 1 << ilog2ceil(n); + + cudaMalloc((void**)&dev_idata, size * sizeof(int)); + + cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); + + dim3 fullBlocksPerGrid((size + blockSize - 1) / blockSize); + timer().startGpuTimer(); + // TODO + + for (int d = 0; d < ilog2ceil(size); d++) { + cudaDeviceSynchronize(); + kernUpSweep <<>> (n, d, dev_idata); + } + + cudaDeviceSynchronize(); + cudaMemset(dev_idata + size - 1, 0, sizeof(int)); + + for (int d = ilog2ceil(size) - 1; d >= 0; d--) { + cudaDeviceSynchronize(); + kernDownSweep <<>> (n, d, dev_idata); + } + + + timer().endGpuTimer(); + + cudaMemcpy(odata, dev_idata, n * sizeof(int), cudaMemcpyDeviceToHost);\ + + cudaFree(dev_idata); + } + + + + + + /** + * Performs stream compaction on idata, storing the result into odata. + * All zeroes are discarded. + * + * @param n The number of elements in idata. + * @param odata The array into which to store elements. + * @param idata The array of elements to compact. + * @returns The number of elements remaining after compaction. + */ + int compact(int n, int *odata, const int *idata) { + int* dev_odata; + int* dev_idata; + int* dev_indices; + int* dev_bools; + int size = 1 << ilog2ceil(n); + int retSize = 0; + + cudaMalloc((void**)&dev_idata, size * sizeof(int)); + cudaMalloc((void**)&dev_odata, size * sizeof(int)); + cudaMalloc((void**)&dev_bools, size * sizeof(int)); + cudaMalloc((void**)&dev_indices, size * sizeof(int)); + + cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); + + dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + dim3 fullBlocksPerGridCeil((size + blockSize - 1) / blockSize); + timer().startGpuTimer(); + // TODO + Common::kernMapToBoolean <<>> (n, dev_bools, dev_idata); + cudaDeviceSynchronize(); + cudaMemcpy(dev_indices, dev_bools, n * sizeof(int), cudaMemcpyDeviceToDevice); + + for (int d = 0; d < ilog2ceil(size); d++) { + kernUpSweep <<>> (n, d, dev_indices); + cudaDeviceSynchronize(); + } + + cudaMemset(dev_indices + size - 1, 0, sizeof(int)); + + for (int d = ilog2ceil(size) - 1; d >= 0; d--) { + kernDownSweep <<>> (n, d, dev_indices); + cudaDeviceSynchronize(); + } + + Common::kernScatter <<>> (n, dev_odata, dev_idata, dev_bools, dev_indices); + + timer().endGpuTimer(); + cudaMemcpy(&retSize, dev_indices + size - 1, sizeof(int), cudaMemcpyDeviceToHost); + cudaMemcpy(odata, dev_odata, retSize * sizeof(int), cudaMemcpyDeviceToHost); + + cudaFree(dev_bools); + cudaFree(dev_indices); + cudaFree(dev_odata); + cudaFree(dev_idata); + + return retSize; + } + } +} diff --git a/stream_compaction/stream_compaction/efficient.h b/stream_compaction/stream_compaction/efficient.h new file mode 100644 index 00000000..803cb4fe --- /dev/null +++ b/stream_compaction/stream_compaction/efficient.h @@ -0,0 +1,13 @@ +#pragma once + +#include "common.h" + +namespace StreamCompaction { + namespace Efficient { + StreamCompaction::Common::PerformanceTimer& timer(); + + void scan(int n, int *odata, const int *idata); + + int compact(int n, int *odata, const int *idata); + } +} diff --git a/stream_compaction/stream_compaction/naive.cu b/stream_compaction/stream_compaction/naive.cu new file mode 100644 index 00000000..4fed690a --- /dev/null +++ b/stream_compaction/stream_compaction/naive.cu @@ -0,0 +1,63 @@ +#include +#include +#include "common.h" +#include "naive.h" + +#define blockSize 128 + +namespace StreamCompaction { + namespace Naive { + using StreamCompaction::Common::PerformanceTimer; + PerformanceTimer& timer() + { + static PerformanceTimer timer; + return timer; + } + // TODO: __global__ + __global__ void kernNaiveScan(int n, int d, int* odata, int* idata) { + int index = threadIdx.x + (blockIdx.x * blockDim.x); + if (index >= n) { + return; + } + if (index >= (1 << (d-1))) { + odata[index] = idata[index - (1 << (d - 1))] + idata[index]; + } + else { + odata[index] = idata[index]; + } + } + + + + + /** + * Performs prefix-sum (aka scan) on idata, storing the result into odata. + */ + void scan(int n, int* odata, const int* idata) { + int* dev_odata; + int* dev_idata; + + cudaMalloc((void**)&dev_odata, n * sizeof(int)); + cudaMalloc((void**)&dev_idata, n * sizeof(int)); + + cudaMemcpy(dev_idata, idata, n * sizeof(int), cudaMemcpyHostToDevice); + + dim3 fullBlocksPerGrid((n + blockSize - 1) / blockSize); + timer().startGpuTimer(); + // TODO + for (int d = 1; d <= ilog2ceil(n); d++) { + kernNaiveScan <<>> (n, d, dev_odata, dev_idata); + std::swap(dev_odata, dev_idata); + } + timer().endGpuTimer(); + + odata[0] = 0; + cudaMemcpy(odata + 1, dev_idata, (n - 1) * sizeof(int), cudaMemcpyDeviceToHost); + + cudaFree(dev_odata); + cudaFree(dev_idata); + } + } +} + + diff --git a/stream_compaction/stream_compaction/naive.h b/stream_compaction/stream_compaction/naive.h new file mode 100644 index 00000000..37dcb064 --- /dev/null +++ b/stream_compaction/stream_compaction/naive.h @@ -0,0 +1,11 @@ +#pragma once + +#include "common.h" + +namespace StreamCompaction { + namespace Naive { + StreamCompaction::Common::PerformanceTimer& timer(); + + void scan(int n, int *odata, const int *idata); + } +} diff --git a/stream_compaction/stream_compaction/thrust.cu b/stream_compaction/stream_compaction/thrust.cu new file mode 100644 index 00000000..06bfc89d --- /dev/null +++ b/stream_compaction/stream_compaction/thrust.cu @@ -0,0 +1,33 @@ +#include +#include +#include +#include +#include +#include "common.h" +#include "thrust.h" + +namespace StreamCompaction { + namespace Thrust { + using StreamCompaction::Common::PerformanceTimer; + PerformanceTimer& timer() + { + static PerformanceTimer timer; + return timer; + } + /** + * Performs prefix-sum (aka scan) on idata, storing the result into odata. + */ + void scan(int n, int *odata, const int *idata) { + thrust::device_vector dv_in(idata, idata + n); + thrust::device_vector dv_out(n); + timer().startGpuTimer(); + // TODO use `thrust::exclusive_scan` + // example: for device_vectors dv_in and dv_out: + // thrust::exclusive_scan(dv_in.begin(), dv_in.end(), dv_out.begin()); + thrust::exclusive_scan(dv_in.begin(), dv_in.end(), dv_out.begin()); + timer().endGpuTimer(); + + thrust::copy(dv_out.begin(), dv_out.end(), odata); + } + } +} diff --git a/stream_compaction/stream_compaction/thrust.h b/stream_compaction/stream_compaction/thrust.h new file mode 100644 index 00000000..fe98206b --- /dev/null +++ b/stream_compaction/stream_compaction/thrust.h @@ -0,0 +1,11 @@ +#pragma once + +#include "common.h" + +namespace StreamCompaction { + namespace Thrust { + StreamCompaction::Common::PerformanceTimer& timer(); + + void scan(int n, int *odata, const int *idata); + } +}