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added the sqrt() function and a triginomitry guide
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| --[[pod_format="raw",created="2024-03-26 15:47:39",modified="2024-03-26 16:55:47",revision=31]] | ||
| {"metadata":{"authors":["kravohi"],"version":"0.4","page_title":"Trigonometry in Picotron"},"elements":[{"text":"This is a demo showing some usefull \ntrigonometic relations and how they \ncan be implemented in picotron.\nScroll to the bottom of this page \nand press \"Run Demo\" to see these\nrelations in action.","type":"label"},{"text":"zoom = 40\noffset = -60\nfunction _draw()\n\tcls()\n\tpoke(0x4000, get(fetch(\"/system/fonts/p8.font\")))\n\tcamera(offset,offset)\n\tmx, my = mouse()\r\n\tmx += offset\n\tmy += offset\n\t\n\t-- Draw unit circle.\n\tcirc(0,0,zoom,1)\n\tlocal label_count = 8\r\n \tfor ai=1, label_count do\r\n \t\tlocal a = (ai/label_count) % 1\r\n \t\tprint(\r\n \t\t\ta, \r\n \t\t\tcos(a)*(zoom+5)-9, \r\n \t\t\tsin(a)*(zoom+5)-3,\r\n \t\t\t5\r\n \t\t)\r\n \t\tprint(\r\n \t\t\ta-1, \r\n \t\t\tcos(a)*(zoom+5)-9, \r\n \t\t\tsin(a)*(zoom+5)+3,\r\n \t\t\t5\r\n \t\t)\r\n \tend\t\n \tprint(\"+x\",zoom+15,0,26)\n \tprint(\"-x\",-zoom-15,0,26)\n \tprint(\"+y\",0,zoom+15,12)\r\n \tprint(\"-y\",0,-zoom-15,12)\n\n \t-- Draw cos() and sin()\n \tlocal angle = atan2(mx,my)\n \tlocal cos_x = cos(angle) * zoom\n \tlocal sin_y = sin(angle) * zoom\n \tline(0,sin_y,cos_x,sin_y,1)\r\n \tline(cos_x,0,cos_x,sin_y,1)\n \tline(0,0,0,sin_y,12)\n \tline(0,0,cos_x,0,26)\n \t\n \t-- Draw mouse\n \tcirc(mx,my,4,18)\r\n \tline(0,0,mx,my,18)\n \t\n \t-- Draw normalized vector\n \tlocal dist = sqrt(mx*mx + my*my)\n \tline(0,0,mx/dist*zoom,my/dist*zoom,8)\r\t\n \t\n \t-- Draw the values\n \tlocal x = -offset+30\n \tlocal y = offset\n \tprint(\"distance: \"..dist/zoom,x,y,18)\n \ty += 8\n \tprint(\"angle = atan2(mouse_x, mouse_y)\",x,y,6)\r\n \ty += 8\n \tprint(\"angle: \"..angle,x,y,6)\r\n \ty += 8\n\tprint(\"cos(angle): \"..cos(angle),x,y,26)\n\ty += 8\n\tprint(\"sin(angle): \"..sin(angle),x,y,12)\n\ty += 8\r\n\tprint(\"normalized_mx = mouse_x / distance\",x,y,8)\r\n\ty += 8\r\n\tprint(\"normalized_my = mouse_y / distance\",x,y,8)\n\ty += 8\r\n\tprint(\"normalized_mx = cos(angle)\",x,y,8)\r\n\ty += 8\r\n\tprint(\"normalized_my = sin(angle)\",x,y,8)\r\n\ty += 8\r\n\tprint(\"normalized_mx:\"..mx/dist,x,y,8)\r\n\ty += 8\r\n\tprint(\"normalized_my:\"..my/dist,x,y,8)\nend","type":"demo"}]} |
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| { | ||
| "metadata" : { | ||
| "page_title" : "sin()", | ||
| "version" : "0.2", | ||
| "authors" : [ | ||
| "kravohi", | ||
| "Hessery" | ||
| ] | ||
| }, | ||
| "elements" : [ | ||
| { | ||
| "type" : "snippet", | ||
| "text" : "sin(\n x -- angle\n)" | ||
| }, | ||
| { | ||
| "type" : "label", | ||
| "text" : "From a given angle, the sin() function returns\nthe inverted value of what a classical sine\nfunction would give. Angles in picotron are\nmessured as a range of 0.0-1.0 counter-clockwize\naround a unit circle. (0.0 being to the right)" | ||
| }, | ||
| { | ||
| "type" : "label", | ||
| "text" : "sin(0.0) = 0.0\nsin(0.125) = -0.7071...\nsin(0.25) = -1.0\nsin(0.375) = -0.7071...\nsin(0.5) = 0.0\nsin(0.625) = 0.7071...\nsin(0.75) = 1.0\nsin(0.875) = 0.7071..." | ||
| }, | ||
| { | ||
| "type" : "label", | ||
| "text" : "The invertion of the classical sine is usefull\nsince picotron uses inverted screen coordinates.\n(0, 0) being the top left.\n(480, 270) being bottom right." | ||
| } | ||
| ] | ||
| } | ||
| --[[pod_format="raw",created="2024-03-26 15:01:10",modified="2024-03-26 15:01:10",revision=0]] | ||
| {"metadata":{"authors":["kravohi","Hessery"],"page_title":"sin()","version":"0.2"},"elements":[{"type":"snippet","text":"sin(\n x -- angle\n)"},{"type":"label","text":"From a given angle, the sin() function returns\nthe inverted value of what a classical sine\nfunction would give. Angles in picotron are\nmessured as a range of 0.0-1.0 counter-clockwize\naround a unit circle. (0.0 being to the right)"},{"type":"label","text":"sin(0.0) = 0.0\nsin(0.125) = -0.7071...\nsin(0.25) = -1.0\nsin(0.375) = -0.7071...\nsin(0.5) = 0.0\nsin(0.625) = 0.7071...\nsin(0.75) = 1.0\nsin(0.875) = 0.7071..."},{"type":"label","text":"The invertion of the classical sine is usefull\nsince picotron uses inverted screen coordinates.\n(0, 0) being the top left.\n(480, 270) being bottom right."}]} |
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| --[[pod_format="raw",created="2024-03-26 15:03:41",modified="2024-03-26 15:09:06",revision=5]] | ||
| {"elements":[{"type":"snippet","text":"sqrt(\n x -- any positive number\n)"},{"type":"label","text":"Returns the square root of any positive\nnumber."},{"type":"warning","text":"If 'x' is negative, this function\nwill return the value 'nan'!"},{"type":"label","text":"Here is a mathmatical equivalency.\nz = sqrt(z * z)"}],"metadata":{"authors":["kravohi"],"version":"0.4","page_title":"sqrt()"}} |
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| --[[pod_format="raw",created="2024-03-26 15:37:42",modified="2024-03-26 15:48:24",revision=4]] | ||
| {"elements":[{"type":"label","text":"Here are our current documents:"},{"text":"Trigonometry in Picotron","ref":"guides/trigonometry","type":"wiki_ref"}],"metadata":{"authors":["kravohi"],"page_title":"Guides","version":"0.4"}} |
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
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| { | ||
| "metadata" : { | ||
| "page_title" : "Math", | ||
| "version" : "0.2", | ||
| "authors" : [ | ||
| "kravohi" | ||
| ] | ||
| }, | ||
| "elements" : [ | ||
| { | ||
| "type" : "label", | ||
| "text" : "Here are our current documents:" | ||
| }, | ||
| { | ||
| "type" : "wiki_ref", | ||
| "ref" : "math/atan2", | ||
| "text" : "atan2()" | ||
| }, | ||
| { | ||
| "type" : "wiki_ref", | ||
| "ref" : "math/cos", | ||
| "text" : "cos()" | ||
| }, | ||
| { | ||
| "type" : "wiki_ref", | ||
| "ref" : "math/max", | ||
| "text" : "max()" | ||
| }, | ||
| { | ||
| "type" : "wiki_ref", | ||
| "ref" : "math/min", | ||
| "text" : "min()" | ||
| }, | ||
| { | ||
| "type": "wiki_ref", | ||
| "ref": "math/mid", | ||
| "text": "mid()" | ||
| }, | ||
| { | ||
| "type" : "wiki_ref", | ||
| "ref" : "math/sin", | ||
| "text" : "sin()" | ||
| } | ||
| ] | ||
| } | ||
| --[[pod_format="raw",created="2024-03-26 15:37:42",modified="2024-03-26 15:38:03",revision=1]] | ||
| {"metadata":{"page_title":"Math","authors":["kravohi"],"version":"0.2"},"elements":[{"type":"label","text":"Here are our current documents:"},{"text":"atan2()","type":"wiki_ref","ref":"math/atan2"},{"text":"cos()","type":"wiki_ref","ref":"math/cos"},{"text":"max()","type":"wiki_ref","ref":"math/max"},{"text":"min()","type":"wiki_ref","ref":"math/min"},{"text":"mid()","type":"wiki_ref","ref":"math/mid"},{"text":"sin()","type":"wiki_ref","ref":"math/sin"},{"text":"sqrt()","type":"wiki_ref","ref":"math/sqrt"}]} |