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<li class="nav-link nav-home-link"><a href="index.html">Home</a></li><li class="nav-heading">Modules</li><li class="nav-heading"><span class="nav-item-type type-module">M</span><span class="nav-item-name"><a href="module-twgl.html">twgl</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.addExtensionsToContext">addExtensionsToContext</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.bindFramebufferInfo">bindFramebufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.bindTransformFeedbackInfo">bindTransformFeedbackInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.bindUniformBlock">bindUniformBlock</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.createBufferInfoFromArrays">createBufferInfoFromArrays</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.createFramebufferInfo">createFramebufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.createProgramInfo">createProgramInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.createTexture">createTexture</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.createTextures">createTextures</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.createTransformFeedback">createTransformFeedback</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.createTransformFeedbackInfo">createTransformFeedbackInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.createUniformBlockInfo">createUniformBlockInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.drawBufferInfo">drawBufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.drawObjectList">drawObjectList</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.getContext">getContext</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.glEnumToString">glEnumToString</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.isWebGL1">isWebGL1</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.isWebGL2">isWebGL2</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.resizeCanvasToDisplaySize">resizeCanvasToDisplaySize</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.resizeFramebufferInfo">resizeFramebufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.resizeTexture">resizeTexture</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.setAttribInfoBufferFromArray">setAttribInfoBufferFromArray</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.setBlockUniforms">setBlockUniforms</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.setBuffersAndAttributes">setBuffersAndAttributes</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.setDefaults">setDefaults</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.setTextureFromArray">setTextureFromArray</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.setUniformBlock">setUniformBlock</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#.setUniforms">setUniforms</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl.html#~createContext">createContext</a></span></li><li class="nav-heading"><span class="nav-item-type type-module">M</span><span class="nav-item-name"><a href="module-twgl_attributes.html">twgl/attributes</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_attributes.html#.createAttribsFromArrays">createAttribsFromArrays</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_attributes.html#.createBufferFromArray">createBufferFromArray</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_attributes.html#.createBufferFromTypedArray">createBufferFromTypedArray</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_attributes.html#.createBufferInfoFromArrays">createBufferInfoFromArrays</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_attributes.html#.createBuffersFromArrays">createBuffersFromArrays</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_attributes.html#.setAttribInfoBufferFromArray">setAttribInfoBufferFromArray</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_attributes.html#.setAttributePrefix">setAttributePrefix</a></span></li><li class="nav-heading"><span class="nav-item-type type-module">M</span><span class="nav-item-name"><a href="module-twgl_draw.html">twgl/draw</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_draw.html#.drawBufferInfo">drawBufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_draw.html#.drawObjectList">drawObjectList</a></span></li><li class="nav-heading"><span class="nav-item-type type-module">M</span><span class="nav-item-name"><a href="module-twgl_framebuffers.html">twgl/framebuffers</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_framebuffers.html#.bindFramebufferInfo">bindFramebufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_framebuffers.html#.createFramebufferInfo">createFramebufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_framebuffers.html#.resizeFramebufferInfo">resizeFramebufferInfo</a></span></li><li class="nav-heading"><span class="nav-item-type type-module">M</span><span class="nav-item-name"><a href="module-twgl_m4.html">twgl/m4</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.axisRotate">axisRotate</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.axisRotation">axisRotation</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.copy">copy</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.create">create</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.frustum">frustum</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.getAxis">getAxis</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.getTranslation">getTranslation</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.identity">identity</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.inverse">inverse</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.lookAt">lookAt</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.multiply">multiply</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.negate">negate</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.ortho">ortho</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.perspective">perspective</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.rotateX">rotateX</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.rotateY">rotateY</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.rotateZ">rotateZ</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.rotationX">rotationX</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.rotationY">rotationY</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.rotationZ">rotationZ</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.scale">scale</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.scaling">scaling</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.setAxis">setAxis</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.setDefaultType">setDefaultType</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.setTranslation">setTranslation</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.transformDirection">transformDirection</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.transformNormal">transformNormal</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.transformPoint">transformPoint</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.translate">translate</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.translation">translation</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_m4.html#.transpose">transpose</a></span></li><li class="nav-heading"><span class="nav-item-type type-module">M</span><span class="nav-item-name"><a href="module-twgl_primitives.html">twgl/primitives</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.concatVertices">concatVertices</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.create3DFBufferInfo">create3DFBufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.create3DFBuffers">create3DFBuffers</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.create3DFVertices">create3DFVertices</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createAugmentedTypedArray">createAugmentedTypedArray</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createCrescentBufferInfo">createCrescentBufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createCrescentBuffers">createCrescentBuffers</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createCrescentVertices">createCrescentVertices</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createCresentBufferInfo">createCresentBufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createCresentBuffers">createCresentBuffers</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createCresentBuffers">createCresentBuffers</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createCubeBufferInfo">createCubeBufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createCubeBuffers">createCubeBuffers</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createCubeVertices">createCubeVertices</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createCylinderBufferInfo">createCylinderBufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createCylinderBuffers">createCylinderBuffers</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createCylinderVertices">createCylinderVertices</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createDiscBufferInfo">createDiscBufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createDiscBuffers">createDiscBuffers</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createDiscVertices">createDiscVertices</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createPlaneBufferInfo">createPlaneBufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createPlaneBuffers">createPlaneBuffers</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createPlaneVertices">createPlaneVertices</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createSphereBufferInfo">createSphereBufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createSphereBuffers">createSphereBuffers</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createSphereVertices">createSphereVertices</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createTorusBufferInfo">createTorusBufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createTorusBuffers">createTorusBuffers</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createTorusVertices">createTorusVertices</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createTruncatedConeBufferInfo">createTruncatedConeBufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createTruncatedConeBuffers">createTruncatedConeBuffers</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createTruncatedConeVertices">createTruncatedConeVertices</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createXYQuadBufferInfo">createXYQuadBufferInfo</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createXYQuadBuffers">createXYQuadBuffers</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.createXYQuadVertices">createXYQuadVertices</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.deindexVertices">deindexVertices</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.duplicateVertices">duplicateVertices</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.flattenNormals">flattenNormals</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.makeRandomVertexColors">makeRandomVertexColors</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.reorientDirections">reorientDirections</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.reorientNormals">reorientNormals</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.reorientPositions">reorientPositions</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_primitives.html#.reorientVertices">reorientVertices</a></span></li><li class="nav-heading"><span class="nav-item-type type-module">M</span><span class="nav-item-name"><a href="module-twgl_programs.html">twgl/programs</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_programs.html#.bindUniformBlock">bindUniformBlock</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_programs.html#.createAttributeSetters">createAttributeSetters</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_programs.html#.createProgram">createProgram</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_programs.html#.createProgramAsync">createProgramAsync</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_programs.html#.createProgramFromScripts">createProgramFromScripts</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a href="module-twgl_programs.html#.createProgramFromSources">createProgramFromSources</a></span></li><li class="nav-item"><span class="nav-item-type type-function">F</span><span class="nav-item-name"><a 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</nav>
<div id="main">
<h1 class="page-title">twgl/m4</h1>
<section>
<header>
</header>
<article>
<div class="container-overview">
<div class="description"><p>4x4 Matrix math math functions.</p>
<p>Almost all functions take an optional <code>dst</code> argument. If it is not passed in the<br>
functions will create a new matrix. In other words you can do this</p>
<pre><code>const mat = m4.translation([1, 2, 3]); // Creates a new translation matrix
</code></pre>
<p>or</p>
<pre><code>const mat = m4.create();
m4.translation([1, 2, 3], mat); // Puts translation matrix in mat.
</code></pre>
<p>The first style is often easier but depending on where it's used it generates garbage where<br>
as there is almost never allocation with the second style.</p>
<p>It is always save to pass any matrix as the destination. So for example</p>
<pre><code>const mat = m4.identity();
const trans = m4.translation([1, 2, 3]);
m4.multiply(mat, trans, mat); // Multiplies mat * trans and puts result in mat.</code></pre></div>
<div class="section-method">
<dl class="details">
</dl>
</div>
</div>
<h3 class="subsection-title">Methods</h3>
<div class="section-method">
<h4 class="name" id=".axisRotate"><span class="type-signature">(static) </span>axisRotate<span class="signature">(m, axis, angleInRadians, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Rotates the given 4-by-4 matrix around the given axis by the<br>
given angle.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
<tr>
<td class="name"><code>axis</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The axis<br>
about which to rotate.</p>
</td>
</tr>
<tr>
<td class="name"><code>angleInRadians</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The angle by which to rotate (in radians).</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The rotated matrix.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".axisRotation"><span class="type-signature">(static) </span>axisRotation<span class="signature">(axis, angleInRadians, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Creates a 4-by-4 matrix which rotates around the given axis by the given<br>
angle.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>axis</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The axis<br>
about which to rotate.</p>
</td>
</tr>
<tr>
<td class="name"><code>angleInRadians</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The angle by which to rotate (in radians).</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>A matrix which rotates angle radians<br>
around the axis.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".copy"><span class="type-signature">(static) </span>copy<span class="signature">(m, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Copies a matrix.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>The matrix. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>A copy of m.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".create"><span class="type-signature">(static) </span>create<span class="signature">()</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Creates a matrix.</p>
</div>
<dl class="details">
</dl>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>A new matrix.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".frustum"><span class="type-signature">(static) </span>frustum<span class="signature">(left, right, bottom, top, near, far, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Computes a 4-by-4 perspective transformation matrix given the left, right,<br>
top, bottom, near and far clipping planes. The arguments define a frustum<br>
extending in the negative z direction. The arguments near and far are the<br>
distances to the near and far clipping planes. Note that near and far are not<br>
z coordinates, but rather they are distances along the negative z-axis. The<br>
matrix generated sends the viewing frustum to the unit box. We assume a unit<br>
box extending from -1 to 1 in the x and y dimensions and from 0 to 1 in the z<br>
dimension.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>left</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The x coordinate of the left plane of the box.</p>
</td>
</tr>
<tr>
<td class="name"><code>right</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The x coordinate of the right plane of the box.</p>
</td>
</tr>
<tr>
<td class="name"><code>bottom</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The y coordinate of the bottom plane of the box.</p>
</td>
</tr>
<tr>
<td class="name"><code>top</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The y coordinate of the right plane of the box.</p>
</td>
</tr>
<tr>
<td class="name"><code>near</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The negative z coordinate of the near plane of the box.</p>
</td>
</tr>
<tr>
<td class="name"><code>far</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The negative z coordinate of the far plane of the box.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>Output matrix. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The perspective projection matrix.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".getAxis"><span class="type-signature">(static) </span>getAxis<span class="signature">(m, axis)</span><span class="type-signature"> &rarr; {<a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a>|<a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a>}</span></h4>
<div class="description">
<p>Returns an axis of a 4x4 matrix as a vector with 3 entries</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
<tr>
<td class="name"><code>axis</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="description last">
<p>The axis 0 = x, 1 = y, 2 = z;</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<ul>
<li>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>[dst] vector.</p>
</div>
</li>
<li>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The axis component of m.</p>
</div>
</li>
</ul>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".getTranslation"><span class="type-signature">(static) </span>getTranslation<span class="signature">(m, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a>}</span></h4>
<div class="description">
<p>Returns the translation component of a 4-by-4 matrix as a vector with 3<br>
entries.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>vector to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The translation component of m.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".identity"><span class="type-signature">(static) </span>identity<span class="signature">(dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Creates an n-by-n identity matrix.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>An n-by-n identity matrix.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".inverse"><span class="type-signature">(static) </span>inverse<span class="signature">(m, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Computes the inverse of a 4-by-4 matrix.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The inverse of m.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".lookAt"><span class="type-signature">(static) </span>lookAt<span class="signature">(eye, target, up, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Computes a 4-by-4 look-at transformation.</p>
<p>This is a matrix which positions the camera itself. If you want<br>
a view matrix (a matrix which moves things in front of the camera)<br>
take the inverse of this.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>eye</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The position of the eye.</p>
</td>
</tr>
<tr>
<td class="name"><code>target</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The position meant to be viewed.</p>
</td>
</tr>
<tr>
<td class="name"><code>up</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>A vector pointing up.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The look-at matrix.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".multiply"><span class="type-signature">(static) </span>multiply<span class="signature">(a, b, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Multiplies two 4-by-4 matrices with a on the left and b on the right</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix on the left.</p>
</td>
</tr>
<tr>
<td class="name"><code>b</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix on the right.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The matrix product of a and b.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".negate"><span class="type-signature">(static) </span>negate<span class="signature">(m, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Negates a matrix.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>-m.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".ortho"><span class="type-signature">(static) </span>ortho<span class="signature">(left, right, bottom, top, near, far, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Computes a 4-by-4 orthogonal transformation matrix given the left, right,<br>
bottom, and top dimensions of the near clipping plane as well as the<br>
near and far clipping plane distances.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>left</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>Left side of the near clipping plane viewport.</p>
</td>
</tr>
<tr>
<td class="name"><code>right</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>Right side of the near clipping plane viewport.</p>
</td>
</tr>
<tr>
<td class="name"><code>bottom</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>Bottom of the near clipping plane viewport.</p>
</td>
</tr>
<tr>
<td class="name"><code>top</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>Top of the near clipping plane viewport.</p>
</td>
</tr>
<tr>
<td class="name"><code>near</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The depth (negative z coordinate)<br>
of the near clipping plane.</p>
</td>
</tr>
<tr>
<td class="name"><code>far</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The depth (negative z coordinate)<br>
of the far clipping plane.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>Output matrix. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The perspective matrix.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".perspective"><span class="type-signature">(static) </span>perspective<span class="signature">(fieldOfViewYInRadians, aspect, zNear, zFar, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Computes a 4-by-4 perspective transformation matrix given the angular height<br>
of the frustum, the aspect ratio, and the near and far clipping planes. The<br>
arguments define a frustum extending in the negative z direction. The given<br>
angle is the vertical angle of the frustum, and the horizontal angle is<br>
determined to produce the given aspect ratio. The arguments near and far are<br>
the distances to the near and far clipping planes. Note that near and far<br>
are not z coordinates, but rather they are distances along the negative<br>
z-axis. The matrix generated sends the viewing frustum to the unit box.<br>
We assume a unit box extending from -1 to 1 in the x and y dimensions and<br>
from 0 to 1 in the z dimension.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>fieldOfViewYInRadians</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The camera angle from top to bottom (in radians).</p>
</td>
</tr>
<tr>
<td class="name"><code>aspect</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The aspect ratio width / height.</p>
</td>
</tr>
<tr>
<td class="name"><code>zNear</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The depth (negative z coordinate)<br>
of the near clipping plane.</p>
</td>
</tr>
<tr>
<td class="name"><code>zFar</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The depth (negative z coordinate)<br>
of the far clipping plane.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The perspective matrix.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".rotateX"><span class="type-signature">(static) </span>rotateX<span class="signature">(m, angleInRadians, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Rotates the given 4-by-4 matrix around the x-axis by the given<br>
angle.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
<tr>
<td class="name"><code>angleInRadians</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The angle by which to rotate (in radians).</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The rotated matrix.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".rotateY"><span class="type-signature">(static) </span>rotateY<span class="signature">(m, angleInRadians, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Rotates the given 4-by-4 matrix around the y-axis by the given<br>
angle.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
<tr>
<td class="name"><code>angleInRadians</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The angle by which to rotate (in radians).</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The rotated matrix.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".rotateZ"><span class="type-signature">(static) </span>rotateZ<span class="signature">(m, angleInRadians, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Rotates the given 4-by-4 matrix around the z-axis by the given<br>
angle.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
<tr>
<td class="name"><code>angleInRadians</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The angle by which to rotate (in radians).</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The rotated matrix.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".rotationX"><span class="type-signature">(static) </span>rotationX<span class="signature">(angleInRadians, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Creates a 4-by-4 matrix which rotates around the x-axis by the given angle.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>angleInRadians</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The angle by which to rotate (in radians).</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The rotation matrix.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".rotationY"><span class="type-signature">(static) </span>rotationY<span class="signature">(angleInRadians, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Creates a 4-by-4 matrix which rotates around the y-axis by the given angle.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>angleInRadians</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The angle by which to rotate (in radians).</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The rotation matrix.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".rotationZ"><span class="type-signature">(static) </span>rotationZ<span class="signature">(angleInRadians, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Creates a 4-by-4 matrix which rotates around the z-axis by the given angle.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>angleInRadians</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The angle by which to rotate (in radians).</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The rotation matrix.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".scale"><span class="type-signature">(static) </span>scale<span class="signature">(m, v, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Scales the given 4-by-4 matrix in each dimension by an amount<br>
given by the corresponding entry in the given vector; assumes the vector has<br>
three entries.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix to be modified.</p>
</td>
</tr>
<tr>
<td class="name"><code>v</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>A vector of three entries specifying the<br>
factor by which to scale in each dimension.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The scaled matrix.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".scaling"><span class="type-signature">(static) </span>scaling<span class="signature">(v, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Creates a 4-by-4 matrix which scales in each dimension by an amount given by<br>
the corresponding entry in the given vector; assumes the vector has three<br>
entries.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>v</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>A vector of<br>
three entries specifying the factor by which to scale in each dimension.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The scaling matrix.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".setAxis"><span class="type-signature">(static) </span>setAxis<span class="signature">(m, v, axis, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Sets an axis of a 4x4 matrix as a vector with 3 entries</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
<tr>
<td class="name"><code>v</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>the axis vector</p>
</td>
</tr>
<tr>
<td class="name"><code>axis</code></td>
<td class="type">
<span class="param-type"><code>number</code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The axis 0 = x, 1 = y, 2 = z;</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>The matrix to set. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The matrix with axis set.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".setDefaultType"><span class="type-signature">(static) </span>setDefaultType<span class="signature">(ctor)</span><span class="type-signature"> &rarr; {constructor}</span></h4>
<div class="description">
<p>Sets the type this library creates for a Mat4</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>ctor</code></td>
<td class="type">
<span class="param-type"><code>constructor</code></span>
</td>
<td class="description last">
<p>the constructor for the type. Either <code>Float32Array</code> or <code>Array</code></p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code>constructor</code></span>
</dd>
</dl>
<div class="param-desc">
<p>previous constructor for Mat4</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".setTranslation"><span class="type-signature">(static) </span>setTranslation<span class="signature">(a, v, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Sets the translation component of a 4-by-4 matrix to the given<br>
vector.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>a</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
<tr>
<td class="name"><code>v</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The vector.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The matrix with translation set.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".transformDirection"><span class="type-signature">(static) </span>transformDirection<span class="signature">(m, v, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a>}</span></h4>
<div class="description">
<p>Takes a 4-by-4 matrix and a vector with 3 entries, interprets the vector as a<br>
direction, transforms that direction by the matrix, and returns the result;<br>
assumes the transformation of 3-dimensional space represented by the matrix<br>
is parallel-preserving, i.e. any combination of rotation, scaling and<br>
translation, but not a perspective distortion. Returns a vector with 3<br>
entries.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
<tr>
<td class="name"><code>v</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The direction.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>optional Vec3 to store result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The transformed direction.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".transformNormal"><span class="type-signature">(static) </span>transformNormal<span class="signature">(m, v, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a>}</span></h4>
<div class="description">
<p>Takes a 4-by-4 matrix m and a vector v with 3 entries, interprets the vector<br>
as a normal to a surface, and computes a vector which is normal upon<br>
transforming that surface by the matrix. The effect of this function is the<br>
same as transforming v (as a direction) by the inverse-transpose of m. This<br>
function assumes the transformation of 3-dimensional space represented by the<br>
matrix is parallel-preserving, i.e. any combination of rotation, scaling and<br>
translation, but not a perspective distortion. Returns a vector with 3<br>
entries.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
<tr>
<td class="name"><code>v</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The normal.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>The direction. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The transformed normal.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".transformPoint"><span class="type-signature">(static) </span>transformPoint<span class="signature">(m, v, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a>}</span></h4>
<div class="description">
<p>Takes a 4-by-4 matrix and a vector with 3 entries,<br>
interprets the vector as a point, transforms that point by the matrix, and<br>
returns the result as a vector with 3 entries.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
<tr>
<td class="name"><code>v</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The point.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>optional vec3 to store result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The transformed point.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".translate"><span class="type-signature">(static) </span>translate<span class="signature">(m, v, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Translates the given 4-by-4 matrix by the given vector v.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
<tr>
<td class="name"><code>v</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The vector by<br>
which to translate.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The translated matrix.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".translation"><span class="type-signature">(static) </span>translation<span class="signature">(v, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Creates a 4-by-4 matrix which translates by the given vector v.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>v</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_v3.html#.Vec3">module:twgl/v3.Vec3</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The vector by<br>
which to translate.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The translation matrix.</p>
</div>
</div>
</div>
<div class="section-method">
<h4 class="name" id=".transpose"><span class="type-signature">(static) </span>transpose<span class="signature">(m, dst<span class="signature-attributes">opt</span>)</span><span class="type-signature"> &rarr; {<a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a>}</span></h4>
<div class="description">
<p>Takes the transpose of a matrix.</p>
</div>
<dl class="details">
</dl>
<h5>Parameters:</h5>
<table class="params">
<thead>
<tr>
<th>Name</th>
<th>Type</th>
<th>Attributes</th>
<th class="last">Description</th>
</tr>
</thead>
<tbody>
<tr>
<td class="name"><code>m</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
</td>
<td class="description last">
<p>The matrix.</p>
</td>
</tr>
<tr>
<td class="name"><code>dst</code></td>
<td class="type">
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</td>
<td class="attributes">
&lt;optional><br>
</td>
<td class="description last">
<p>matrix to hold result. If not passed a new one is created.</p>
</td>
</tr>
</tbody>
</table>
<div class="section-returns">
<h5>Returns:</h5>
<dl class="param-type">
<dt>
Type:
</dt>
<dd>
<span class="param-type"><code><a href="module-twgl_m4.html#.Mat4">module:twgl/m4.Mat4</a></code></span>
</dd>
</dl>
<div class="param-desc">
<p>The transpose of m.</p>
</div>
</div>
</div>
<h3 class="subsection-title">Type Definitions</h3>
<div class="section-members">
<h4 class="name" id=".Mat4">Mat4</h4>
<div class="description">
<p>A JavaScript array with 16 values or a Float32Array with 16 values.<br>
When created by the library will create the default type which is <code>Float32Array</code><br>
but can be set by calling <a href="module-twgl_m4.html#.setDefaultType"><code>module:twgl/m4.setDefaultType</code></a>.</p>
</div>
<dl class="details">
</dl>
<h5>Type:</h5>
<ul>
<li>
<span class="param-type"><code>Array.&lt;number></code></span>
|
<span class="param-type"><code>Float32Array</code></span>
</li>
</ul>
</div>
</article>
</section>
</div>
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