Created
August 6, 2015 04:31
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Matrix4
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| { | |
| "uuid": "cb207fcb-2fc9-4b64-b71f-a3464224b0ea", | |
| "description": "Matrix4", | |
| "dependencies": { | |
| "DomReady": "latest", | |
| "davinci-blade": "1.1.1", | |
| "davinci-eight": "latest" | |
| }, | |
| "operatorOverloading": true | |
| } |
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| var exp = blade.universals.exp; |
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| <!doctype html> | |
| <html> | |
| <head> | |
| <style> | |
| /* STYLE-MARKER */ | |
| </style> | |
| <!-- SCRIPTS-MARKER --> | |
| </head> | |
| <body> | |
| <pre id='info'></pre> | |
| <script> | |
| // LIBS-MARKER | |
| </script> | |
| <script> | |
| // CODE-MARKER | |
| </script> | |
| </body> | |
| </html> |
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| // Create shortcuts for some values. | |
| var e1 = blade.e3ga.e1; | |
| var e2 = blade.e3ga.e2; | |
| var e3 = blade.e3ga.e3; | |
| var meter = blade.scalarE3(1, blade.units.meter); | |
| var newton = blade.scalarE3(1, blade.units.newton); | |
| var kilogram = blade.scalarE3(1, blade.units.kilogram); | |
| var second = blade.scalarE3(1, blade.units.second); | |
| // Wait for the DOM to be loaded. | |
| DomReady.ready(function() { | |
| try { | |
| calculate(); | |
| } | |
| catch(e) { | |
| function colorize(arg: any, color: string) { | |
| return "<span style='color:"+color+"'>" + arg + "</span>"; | |
| } | |
| println(colorize(e.message, 'red')); | |
| } | |
| }); | |
| /** | |
| * Performs the calculation. | |
| */ | |
| function calculate() { | |
| var I = EIGHT.Matrix4.identity(); | |
| // FIXME: This is a bad API, because we can easily omit scale factors of unity. | |
| // We also can't easily scale an arbitrary direction. | |
| var S = EIGHT.Matrix4.scaling(4 * e1); | |
| var T = EIGHT.Matrix4.translation(2 * e1 + 3 * e2 + 4 * e3); | |
| var R = EIGHT.Matrix4.rotation(exp(-0.5 *(e1 ^ e2)*30*Math.PI/180)); | |
| var RI = EIGHT.Matrix4.identity().invert(R); | |
| // printvar('I', I.toFixed(0), true); | |
| printvar('S', S.toFixed(3), true); | |
| // printvar('T', T.toFixed(0), true); | |
| printvar('R', R.toFixed(3), true); | |
| printvar('R.determinant()', R.determinant().toFixed(6), true); | |
| printvar('RI', RI.toFixed(3), true); | |
| printvar('R * RI', (R * RI).toFixed(3), true); | |
| printvar('RI * S * R', (RI * S * R).toFixed(3), true); | |
| } | |
| /** | |
| * Print the HTML string without a line ending. | |
| */ | |
| function print(html: string): void { | |
| var element = document.getElementById('info'); | |
| element.innerHTML = element.innerHTML + html; | |
| } | |
| /** | |
| * Print the HTML string and go to the next line. | |
| */ | |
| function println(html: string): void { | |
| print(html + '\n'); | |
| } | |
| /** | |
| * Print the value of a variable. | |
| */ | |
| function printvar(name: string, value: any, newLine=false): void { | |
| if (newLine) { | |
| println('<b>' + name + '</b> =>\n' + value); | |
| } | |
| else { | |
| println('<b>' + name + '</b> => ' + value); | |
| } | |
| } |
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| #info { | |
| position: absolute; | |
| left: 40%; | |
| top: 50px; | |
| font-size: 26px; | |
| } |
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