使用 OpenGL GLSL 的漫射光
Diffuse light with OpenGL GLSL
目前，我的 OpenGL 场景不使用任何灯光，它只使用具有固定颜色的线框 - 这对我来说很好。
现在我想添加第二种模式，其中线框显示为（半）实体模型。为此，我需要一些照明。照明应该很简单，只是一些具有固定颜色和方向的全局定向光。
所以有两个问题：据我所知，我可以在我的片段着色器中完全做到这一点 - 这是正确的吗？
并且：我目前的片段着色器非常简单：
#version 130
uniform vec4 inputColor;
out vec4 FragColor;
void main()
{
FragColor=inputColor;
}
必须在此处添加什么才能让我的几何体被全局定向光源照亮（而不是被一些额外的点光源照亮）？
要计算漫反射光甚至镜面反射高光，您必须知道表面各自片段的法向量。漫射光辐射率取决于入射光的方向 - 参见 How does this faking the light work on aerotwist?。镜面高光还取决于视线。
如果你没有法向量，那么表面法向量可以通过片段着色器中视图space位置的偏导数来近似计算。偏导数可以通过函数 dFdx and dFdy.
得到
使用此法向量，您可以计算出质量非常低的漫射光。表面看起来是平坦的，光线似乎是通过面法向量而不是平滑的顶点法向量来计算的。但是可以实现一个基本的光模型，并且可以通过稍后使用 "real" 法向量来改进。
参见示例。在这种情况下，假设光源在视点上，因为光源 (L) 的 space 方向是 vec3(0.0, 0.0, 1.0):
顶点着色器
out vec4 v_clip_pos;
main()
{
.....
gl_Positon = .....;
v_clip_pos = gl_Positon;
}
片段着色器
#version 130
in vec4 v_clip_pos; // same as gl_Position
out vec4 FragColor;
uniform vec4 inputColor;
void main()
{
vec3 ndc_pos = v_clip_pos.xyz / v_clip_pos.w;
vec3 dx = dFdx( ndc_pos );
vec3 dy = dFdy( ndc_pos );
vec3 N = normalize(cross(dx, dy));
N *= sign(N.z);
vec3 L = vec3(0.0, 0.0, 1.0); // direction to the light source
float NdotL = dot(N, L);
vec3 diffuse_color = inputColor.rgb * NdotL;
FragColor = vec4(diffuse_color.rgb, 1.0);
}
查看演示灯光模型的示例。当然这个例子是在WebGL而不是OpenGL中实现的，但是片段着色器非常相似：
(function loadscene() {
var gl, progDraw, vp_size;
var bufCube = {};
function render(delteMS){
Camera.create();
Camera.vp = vp_size;
gl.viewport( 0, 0, vp_size[0], vp_size[1] );
gl.enable( gl.DEPTH_TEST );
gl.clearColor( 0.0, 0.0, 0.0, 1.0 );
gl.clear( gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT );
// set up draw shader
ShProg.Use( progDraw );
ShProg.SetM44( progDraw, "u_projectionMat44", Camera.Perspective() );
ShProg.SetM44( progDraw, "u_viewMat44", Camera.LookAt() );
var modelMat = IdentM44()
modelMat = RotateAxis( modelMat, CalcAng( delteMS, 13.0 ), 0 );
modelMat = RotateAxis( modelMat, CalcAng( delteMS, 17.0 ), 1 );
ShProg.SetM44( progDraw, "u_modelMat44", modelMat );
ShProg.SetF3( progDraw, "color", [0.9, 0.9, 0.5] );
// draw scene
VertexBuffer.Draw( bufCube );
requestAnimationFrame(render);
}
function resize() {
//vp_size = [gl.drawingBufferWidth, gl.drawingBufferHeight];
vp_size = [window.innerWidth, window.innerHeight]
canvas.width = vp_size[0];
canvas.height = vp_size[1];
}
function initScene() {
canvas = document.getElementById( "canvas");
gl = canvas.getContext( "experimental-webgl" );
if ( !gl )
return null;
var ext_standard_derivatives = gl.getExtension( "OES_standard_derivatives" ); // dFdx, dFdy
if (!ext_standard_derivatives)
alert('no standard derivatives support (no dFdx, dFdy)');
progDraw = ShProg.Create(
[ { source : "draw-shader-vs", stage : gl.VERTEX_SHADER },
{ source : "draw-shader-fs", stage : gl.FRAGMENT_SHADER }
] );
if ( !progDraw.progObj )
return null;
progDraw.inPos = ShProg.AttrI( progDraw, "inPos" );
progDraw.inNV = ShProg.AttrI( progDraw, "inNV" );
// create sphere
var layer_size = 16, circum_size = 32;
var rad_circum = 1.0;
var rad_tube = 0.5;
var sphere_pts = [];
var sphere_nv = [];
sphere_pts.push( 0.0, 0.0, -rad_circum );
sphere_nv.push( 0.0, 0.0, -1.0 );
for ( var i_l = 1; i_l < layer_size; ++ i_l ) {
var angH = (1.0 - i_l / layer_size) * Math.PI;
var h = Math.cos( angH );
var r = Math.sin( angH );
for ( var i_c = 0; i_c < circum_size; ++ i_c ) {
var circumX = Math.cos(2 * Math.PI * i_c / circum_size);
var circumY = Math.sin(2 * Math.PI * i_c / circum_size);
sphere_pts.push( r * circumX * rad_circum, r * circumY * rad_circum, h * rad_circum );
sphere_nv.push( r * circumX, r * circumY, h );
}
}
sphere_pts.push( 0.0, 0.0, rad_circum );
sphere_nv.push( 0.0, 0.0, 1.0 );
var sphere_inx = [];
for ( var i_c = 0; i_c < circum_size; ++ i_c ) {
sphere_inx.push( i_c+1, 0, (i_c+1) % circum_size + 1 )
}
for ( var i_l = 0; i_l < layer_size-2; ++ i_l ) {
var l1 = i_l * circum_size + 1;
var l2 = (i_l+1) * circum_size + 1
for ( var i_c = 0; i_c < circum_size; ++ i_c ) {
var i_n = (i_c+1) % circum_size;
sphere_inx.push( l1+i_c, l1+i_n, l2+i_c, l1+i_n, l2+i_n, l2+i_c );
}
}
for ( var i_c = 0; i_c < circum_size; ++ i_c ) {
var i_start = 1 + (layer_size-2) * circum_size;
var i_n = (i_c+1) % circum_size;
sphere_inx.push( i_start + i_c, i_start + i_n, sphere_pts.length/3-1 );
}
bufCube = VertexBuffer.Create(
[ { data : sphere_pts, attrSize : 3, attrLoc : progDraw.inPos },
{ data : sphere_nv, attrSize : 3, attrLoc : progDraw.inNV } ],
sphere_inx );
window.onresize = resize;
resize();
requestAnimationFrame(render);
}
function Fract( val ) {
return val - Math.trunc( val );
}
function CalcAng( deltaTime, intervall ) {
return Fract( deltaTime / (1000*intervall) ) * 2.0 * Math.PI;
}
function CalcMove( deltaTime, intervall, range ) {
var pos = self.Fract( deltaTime / (1000*intervall) ) * 2.0
var pos = pos < 1.0 ? pos : (2.0-pos)
return range[0] + (range[1] - range[0]) * pos;
}
function EllipticalPosition( a, b, angRag ) {
var a_b = a * a - b * b
var ea = (a_b <= 0) ? 0 : Math.sqrt( a_b );
var eb = (a_b >= 0) ? 0 : Math.sqrt( -a_b );
return [ a * Math.sin( angRag ) - ea, b * Math.cos( angRag ) - eb, 0 ];
}
glArrayType = typeof Float32Array !="undefined" ? Float32Array : ( typeof WebGLFloatArray != "undefined" ? WebGLFloatArray : Array );
function IdentM44() {
var m = new glArrayType(16);
m[0] = 1; m[1] = 0; m[2] = 0; m[3] = 0;
m[4] = 0; m[5] = 1; m[6] = 0; m[7] = 0;
m[8] = 0; m[9] = 0; m[10] = 1; m[11] = 0;
m[12] = 0; m[13] = 0; m[14] = 0; m[15] = 1;
return m;
};
function RotateAxis(matA, angRad, axis) {
var aMap = [ [1, 2], [2, 0], [0, 1] ];
var a0 = aMap[axis][0], a1 = aMap[axis][1];
var sinAng = Math.sin(angRad), cosAng = Math.cos(angRad);
var matB = new glArrayType(16);
for ( var i = 0; i < 16; ++ i ) matB[i] = matA[i];
for ( var i = 0; i < 3; ++ i ) {
matB[a0*4+i] = matA[a0*4+i] * cosAng + matA[a1*4+i] * sinAng;
matB[a1*4+i] = matA[a0*4+i] * -sinAng + matA[a1*4+i] * cosAng;
}
return matB;
}
function Cross( a, b ) { return [ a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2], a[0] * b[1] - a[1] * b[0], 0.0 ]; }
function Dot( a, b ) { return a[0]*b[0] + a[1]*b[1] + a[2]*b[2]; }
function Normalize( v ) {
var len = Math.sqrt( v[0] * v[0] + v[1] * v[1] + v[2] * v[2] );
return [ v[0] / len, v[1] / len, v[2] / len ];
}
var Camera = {};
Camera.create = function() {
this.pos = [0, 1.5, 0.0];
this.target = [0, 0, 0];
this.up = [0, 0, 1];
this.fov_y = 90;
this.vp = [800, 600];
this.near = 0.5;
this.far = 100.0;
}
Camera.Perspective = function() {
var fn = this.far + this.near;
var f_n = this.far - this.near;
var r = this.vp[0] / this.vp[1];
var t = 1 / Math.tan( Math.PI * this.fov_y / 360 );
var m = IdentM44();
m[0] = t/r; m[1] = 0; m[2] = 0; m[3] = 0;
m[4] = 0; m[5] = t; m[6] = 0; m[7] = 0;
m[8] = 0; m[9] = 0; m[10] = -fn / f_n; m[11] = -1;
m[12] = 0; m[13] = 0; m[14] = -2 * this.far * this.near / f_n; m[15] = 0;
return m;
}
Camera.LookAt = function() {
var mz = Normalize( [ this.pos[0]-this.target[0], this.pos[1]-this.target[1], this.pos[2]-this.target[2] ] );
var mx = Normalize( Cross( this.up, mz ) );
var my = Normalize( Cross( mz, mx ) );
var tx = Dot( mx, this.pos );
var ty = Dot( my, this.pos );
var tz = Dot( [-mz[0], -mz[1], -mz[2]], this.pos );
var m = IdentM44();
m[0] = mx[0]; m[1] = my[0]; m[2] = mz[0]; m[3] = 0;
m[4] = mx[1]; m[5] = my[1]; m[6] = mz[1]; m[7] = 0;
m[8] = mx[2]; m[9] = my[2]; m[10] = mz[2]; m[11] = 0;
m[12] = tx; m[13] = ty; m[14] = tz; m[15] = 1;
return m;
}
var ShProg = {
Create: function (shaderList) {
var shaderObjs = [];
for (var i_sh = 0; i_sh < shaderList.length; ++i_sh) {
var shderObj = this.Compile(shaderList[i_sh].source, shaderList[i_sh].stage);
if (shderObj) shaderObjs.push(shderObj);
}
var prog = {}
prog.progObj = this.Link(shaderObjs)
if (prog.progObj) {
prog.attrInx = {};
var noOfAttributes = gl.getProgramParameter(prog.progObj, gl.ACTIVE_ATTRIBUTES);
for (var i_n = 0; i_n < noOfAttributes; ++i_n) {
var name = gl.getActiveAttrib(prog.progObj, i_n).name;
prog.attrInx[name] = gl.getAttribLocation(prog.progObj, name);
}
prog.uniLoc = {};
var noOfUniforms = gl.getProgramParameter(prog.progObj, gl.ACTIVE_UNIFORMS);
for (var i_n = 0; i_n < noOfUniforms; ++i_n) {
var name = gl.getActiveUniform(prog.progObj, i_n).name;
prog.uniLoc[name] = gl.getUniformLocation(prog.progObj, name);
}
}
return prog;
},
AttrI: function (prog, name) { return prog.attrInx[name]; },
UniformL: function (prog, name) { return prog.uniLoc[name]; },
Use: function (prog) { gl.useProgram(prog.progObj); },
SetI1: function (prog, name, val) { if (prog.uniLoc[name]) gl.uniform1i(prog.uniLoc[name], val); },
SetF1: function (prog, name, val) { if (prog.uniLoc[name]) gl.uniform1f(prog.uniLoc[name], val); },
SetF2: function (prog, name, arr) { if (prog.uniLoc[name]) gl.uniform2fv(prog.uniLoc[name], arr); },
SetF3: function (prog, name, arr) { if (prog.uniLoc[name]) gl.uniform3fv(prog.uniLoc[name], arr); },
SetF4: function (prog, name, arr) { if (prog.uniLoc[name]) gl.uniform4fv(prog.uniLoc[name], arr); },
SetM33: function (prog, name, mat) { if (prog.uniLoc[name]) gl.uniformMatrix3fv(prog.uniLoc[name], false, mat); },
SetM44: function (prog, name, mat) { if (prog.uniLoc[name]) gl.uniformMatrix4fv(prog.uniLoc[name], false, mat); },
Compile: function (source, shaderStage) {
var shaderScript = document.getElementById(source);
if (shaderScript)
source = shaderScript.text;
var shaderObj = gl.createShader(shaderStage);
gl.shaderSource(shaderObj, source);
gl.compileShader(shaderObj);
var status = gl.getShaderParameter(shaderObj, gl.COMPILE_STATUS);
if (!status) alert(gl.getShaderInfoLog(shaderObj));
return status ? shaderObj : null;
},
Link: function (shaderObjs) {
var prog = gl.createProgram();
for (var i_sh = 0; i_sh < shaderObjs.length; ++i_sh)
gl.attachShader(prog, shaderObjs[i_sh]);
gl.linkProgram(prog);
status = gl.getProgramParameter(prog, gl.LINK_STATUS);
if ( !status ) alert(gl.getProgramInfoLog(prog));
return status ? prog : null;
} };
var VertexBuffer = {
Create: function(attribs, indices, type) {
var buffer = { buf: [], attr: [], inx: gl.createBuffer(), inxLen: indices.length, primitive_type: type ? type : gl.TRIANGLES };
for (var i=0; i<attribs.length; ++i) {
buffer.buf.push(gl.createBuffer());
buffer.attr.push({ size : attribs[i].attrSize, loc : attribs[i].attrLoc, no_of: attribs[i].data.length/attribs[i].attrSize });
gl.bindBuffer(gl.ARRAY_BUFFER, buffer.buf[i]);
gl.bufferData(gl.ARRAY_BUFFER, new Float32Array( attribs[i].data ), gl.STATIC_DRAW);
}
gl.bindBuffer(gl.ARRAY_BUFFER, null);
if ( buffer.inxLen > 0 ) {
gl.bindBuffer(gl.ELEMENT_ARRAY_BUFFER, buffer.inx);
gl.bufferData(gl.ELEMENT_ARRAY_BUFFER, new Uint16Array( indices ), gl.STATIC_DRAW);
gl.bindBuffer(gl.ELEMENT_ARRAY_BUFFER, null);
}
return buffer;
},
Draw: function(bufObj) {
for (var i=0; i<bufObj.buf.length; ++i) {
gl.bindBuffer(gl.ARRAY_BUFFER, bufObj.buf[i]);
gl.vertexAttribPointer(bufObj.attr[i].loc, bufObj.attr[i].size, gl.FLOAT, false, 0, 0);
gl.enableVertexAttribArray( bufObj.attr[i].loc);
}
if ( bufObj.inxLen > 0 ) {
gl.bindBuffer(gl.ELEMENT_ARRAY_BUFFER, bufObj.inx);
gl.drawElements(bufObj.primitive_type, bufObj.inxLen, gl.UNSIGNED_SHORT, 0);
gl.bindBuffer( gl.ELEMENT_ARRAY_BUFFER, null );
}
else
gl.drawArrays(bufObj.primitive_type, 0, bufObj.attr[0].no_of );
for (var i=0; i<bufObj.buf.length; ++i)
gl.disableVertexAttribArray(bufObj.attr[i].loc);
gl.bindBuffer( gl.ARRAY_BUFFER, null );
} };
initScene();
})();
<script id="draw-shader-vs" type="x-shader/x-vertex">
precision highp float;
attribute vec3 inPos;
attribute vec3 inNV;
varying vec4 v_clip_pos;
uniform mat4 u_projectionMat44;
uniform mat4 u_viewMat44;
uniform mat4 u_modelMat44;
void main()
{
vec4 pos = u_viewMat44 * u_modelMat44 * vec4( inPos, 1.0 );
v_clip_pos = u_projectionMat44 * pos;
gl_Position = v_clip_pos;
}
</script>
<script id="draw-shader-fs" type="x-shader/x-fragment">
#extension GL_OES_standard_derivatives : enable
precision mediump float;
varying vec4 v_clip_pos;
uniform highp vec3 color;
void main()
{
vec3 ndc_pos = v_clip_pos.xyz / v_clip_pos.w;
vec3 dx = dFdx( ndc_pos );
vec3 dy = dFdy( ndc_pos );
vec3 N = normalize(cross(dx, dy));
N *= sign(N.z);
vec3 L = vec3(0.0, 0.0, 1.0);
float NdotL = dot(N, L);
vec3 diffuse_color = color * NdotL;
gl_FragColor = vec4( diffuse_color.rgb, 1.0 );
}
</script>
<canvas id="canvas" style="border: none;"></canvas>
目前，我的 OpenGL 场景不使用任何灯光，它只使用具有固定颜色的线框 - 这对我来说很好。
现在我想添加第二种模式，其中线框显示为（半）实体模型。为此，我需要一些照明。照明应该很简单，只是一些具有固定颜色和方向的全局定向光。
所以有两个问题：据我所知，我可以在我的片段着色器中完全做到这一点 - 这是正确的吗？
并且：我目前的片段着色器非常简单：
#version 130
uniform vec4 inputColor;
out vec4 FragColor;
void main()
{
FragColor=inputColor;
}
必须在此处添加什么才能让我的几何体被全局定向光源照亮（而不是被一些额外的点光源照亮）？
要计算漫反射光甚至镜面反射高光，您必须知道表面各自片段的法向量。漫射光辐射率取决于入射光的方向 - 参见 How does this faking the light work on aerotwist?。镜面高光还取决于视线。
如果你没有法向量，那么表面法向量可以通过片段着色器中视图space位置的偏导数来近似计算。偏导数可以通过函数 dFdx and dFdy.
使用此法向量，您可以计算出质量非常低的漫射光。表面看起来是平坦的，光线似乎是通过面法向量而不是平滑的顶点法向量来计算的。但是可以实现一个基本的光模型，并且可以通过稍后使用 "real" 法向量来改进。
参见示例。在这种情况下，假设光源在视点上，因为光源 (L) 的 space 方向是 vec3(0.0, 0.0, 1.0):
顶点着色器
out vec4 v_clip_pos;
main()
{
.....
gl_Positon = .....;
v_clip_pos = gl_Positon;
}
片段着色器
#version 130
in vec4 v_clip_pos; // same as gl_Position
out vec4 FragColor;
uniform vec4 inputColor;
void main()
{
vec3 ndc_pos = v_clip_pos.xyz / v_clip_pos.w;
vec3 dx = dFdx( ndc_pos );
vec3 dy = dFdy( ndc_pos );
vec3 N = normalize(cross(dx, dy));
N *= sign(N.z);
vec3 L = vec3(0.0, 0.0, 1.0); // direction to the light source
float NdotL = dot(N, L);
vec3 diffuse_color = inputColor.rgb * NdotL;
FragColor = vec4(diffuse_color.rgb, 1.0);
}
查看演示灯光模型的示例。当然这个例子是在WebGL而不是OpenGL中实现的，但是片段着色器非常相似：
(function loadscene() {
var gl, progDraw, vp_size;
var bufCube = {};
function render(delteMS){
Camera.create();
Camera.vp = vp_size;
gl.viewport( 0, 0, vp_size[0], vp_size[1] );
gl.enable( gl.DEPTH_TEST );
gl.clearColor( 0.0, 0.0, 0.0, 1.0 );
gl.clear( gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT );
// set up draw shader
ShProg.Use( progDraw );
ShProg.SetM44( progDraw, "u_projectionMat44", Camera.Perspective() );
ShProg.SetM44( progDraw, "u_viewMat44", Camera.LookAt() );
var modelMat = IdentM44()
modelMat = RotateAxis( modelMat, CalcAng( delteMS, 13.0 ), 0 );
modelMat = RotateAxis( modelMat, CalcAng( delteMS, 17.0 ), 1 );
ShProg.SetM44( progDraw, "u_modelMat44", modelMat );
ShProg.SetF3( progDraw, "color", [0.9, 0.9, 0.5] );
// draw scene
VertexBuffer.Draw( bufCube );
requestAnimationFrame(render);
}
function resize() {
//vp_size = [gl.drawingBufferWidth, gl.drawingBufferHeight];
vp_size = [window.innerWidth, window.innerHeight]
canvas.width = vp_size[0];
canvas.height = vp_size[1];
}
function initScene() {
canvas = document.getElementById( "canvas");
gl = canvas.getContext( "experimental-webgl" );
if ( !gl )
return null;
var ext_standard_derivatives = gl.getExtension( "OES_standard_derivatives" ); // dFdx, dFdy
if (!ext_standard_derivatives)
alert('no standard derivatives support (no dFdx, dFdy)');
progDraw = ShProg.Create(
[ { source : "draw-shader-vs", stage : gl.VERTEX_SHADER },
{ source : "draw-shader-fs", stage : gl.FRAGMENT_SHADER }
] );
if ( !progDraw.progObj )
return null;
progDraw.inPos = ShProg.AttrI( progDraw, "inPos" );
progDraw.inNV = ShProg.AttrI( progDraw, "inNV" );
// create sphere
var layer_size = 16, circum_size = 32;
var rad_circum = 1.0;
var rad_tube = 0.5;
var sphere_pts = [];
var sphere_nv = [];
sphere_pts.push( 0.0, 0.0, -rad_circum );
sphere_nv.push( 0.0, 0.0, -1.0 );
for ( var i_l = 1; i_l < layer_size; ++ i_l ) {
var angH = (1.0 - i_l / layer_size) * Math.PI;
var h = Math.cos( angH );
var r = Math.sin( angH );
for ( var i_c = 0; i_c < circum_size; ++ i_c ) {
var circumX = Math.cos(2 * Math.PI * i_c / circum_size);
var circumY = Math.sin(2 * Math.PI * i_c / circum_size);
sphere_pts.push( r * circumX * rad_circum, r * circumY * rad_circum, h * rad_circum );
sphere_nv.push( r * circumX, r * circumY, h );
}
}
sphere_pts.push( 0.0, 0.0, rad_circum );
sphere_nv.push( 0.0, 0.0, 1.0 );
var sphere_inx = [];
for ( var i_c = 0; i_c < circum_size; ++ i_c ) {
sphere_inx.push( i_c+1, 0, (i_c+1) % circum_size + 1 )
}
for ( var i_l = 0; i_l < layer_size-2; ++ i_l ) {
var l1 = i_l * circum_size + 1;
var l2 = (i_l+1) * circum_size + 1
for ( var i_c = 0; i_c < circum_size; ++ i_c ) {
var i_n = (i_c+1) % circum_size;
sphere_inx.push( l1+i_c, l1+i_n, l2+i_c, l1+i_n, l2+i_n, l2+i_c );
}
}
for ( var i_c = 0; i_c < circum_size; ++ i_c ) {
var i_start = 1 + (layer_size-2) * circum_size;
var i_n = (i_c+1) % circum_size;
sphere_inx.push( i_start + i_c, i_start + i_n, sphere_pts.length/3-1 );
}
bufCube = VertexBuffer.Create(
[ { data : sphere_pts, attrSize : 3, attrLoc : progDraw.inPos },
{ data : sphere_nv, attrSize : 3, attrLoc : progDraw.inNV } ],
sphere_inx );
window.onresize = resize;
resize();
requestAnimationFrame(render);
}
function Fract( val ) {
return val - Math.trunc( val );
}
function CalcAng( deltaTime, intervall ) {
return Fract( deltaTime / (1000*intervall) ) * 2.0 * Math.PI;
}
function CalcMove( deltaTime, intervall, range ) {
var pos = self.Fract( deltaTime / (1000*intervall) ) * 2.0
var pos = pos < 1.0 ? pos : (2.0-pos)
return range[0] + (range[1] - range[0]) * pos;
}
function EllipticalPosition( a, b, angRag ) {
var a_b = a * a - b * b
var ea = (a_b <= 0) ? 0 : Math.sqrt( a_b );
var eb = (a_b >= 0) ? 0 : Math.sqrt( -a_b );
return [ a * Math.sin( angRag ) - ea, b * Math.cos( angRag ) - eb, 0 ];
}
glArrayType = typeof Float32Array !="undefined" ? Float32Array : ( typeof WebGLFloatArray != "undefined" ? WebGLFloatArray : Array );
function IdentM44() {
var m = new glArrayType(16);
m[0] = 1; m[1] = 0; m[2] = 0; m[3] = 0;
m[4] = 0; m[5] = 1; m[6] = 0; m[7] = 0;
m[8] = 0; m[9] = 0; m[10] = 1; m[11] = 0;
m[12] = 0; m[13] = 0; m[14] = 0; m[15] = 1;
return m;
};
function RotateAxis(matA, angRad, axis) {
var aMap = [ [1, 2], [2, 0], [0, 1] ];
var a0 = aMap[axis][0], a1 = aMap[axis][1];
var sinAng = Math.sin(angRad), cosAng = Math.cos(angRad);
var matB = new glArrayType(16);
for ( var i = 0; i < 16; ++ i ) matB[i] = matA[i];
for ( var i = 0; i < 3; ++ i ) {
matB[a0*4+i] = matA[a0*4+i] * cosAng + matA[a1*4+i] * sinAng;
matB[a1*4+i] = matA[a0*4+i] * -sinAng + matA[a1*4+i] * cosAng;
}
return matB;
}
function Cross( a, b ) { return [ a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2], a[0] * b[1] - a[1] * b[0], 0.0 ]; }
function Dot( a, b ) { return a[0]*b[0] + a[1]*b[1] + a[2]*b[2]; }
function Normalize( v ) {
var len = Math.sqrt( v[0] * v[0] + v[1] * v[1] + v[2] * v[2] );
return [ v[0] / len, v[1] / len, v[2] / len ];
}
var Camera = {};
Camera.create = function() {
this.pos = [0, 1.5, 0.0];
this.target = [0, 0, 0];
this.up = [0, 0, 1];
this.fov_y = 90;
this.vp = [800, 600];
this.near = 0.5;
this.far = 100.0;
}
Camera.Perspective = function() {
var fn = this.far + this.near;
var f_n = this.far - this.near;
var r = this.vp[0] / this.vp[1];
var t = 1 / Math.tan( Math.PI * this.fov_y / 360 );
var m = IdentM44();
m[0] = t/r; m[1] = 0; m[2] = 0; m[3] = 0;
m[4] = 0; m[5] = t; m[6] = 0; m[7] = 0;
m[8] = 0; m[9] = 0; m[10] = -fn / f_n; m[11] = -1;
m[12] = 0; m[13] = 0; m[14] = -2 * this.far * this.near / f_n; m[15] = 0;
return m;
}
Camera.LookAt = function() {
var mz = Normalize( [ this.pos[0]-this.target[0], this.pos[1]-this.target[1], this.pos[2]-this.target[2] ] );
var mx = Normalize( Cross( this.up, mz ) );
var my = Normalize( Cross( mz, mx ) );
var tx = Dot( mx, this.pos );
var ty = Dot( my, this.pos );
var tz = Dot( [-mz[0], -mz[1], -mz[2]], this.pos );
var m = IdentM44();
m[0] = mx[0]; m[1] = my[0]; m[2] = mz[0]; m[3] = 0;
m[4] = mx[1]; m[5] = my[1]; m[6] = mz[1]; m[7] = 0;
m[8] = mx[2]; m[9] = my[2]; m[10] = mz[2]; m[11] = 0;
m[12] = tx; m[13] = ty; m[14] = tz; m[15] = 1;
return m;
}
var ShProg = {
Create: function (shaderList) {
var shaderObjs = [];
for (var i_sh = 0; i_sh < shaderList.length; ++i_sh) {
var shderObj = this.Compile(shaderList[i_sh].source, shaderList[i_sh].stage);
if (shderObj) shaderObjs.push(shderObj);
}
var prog = {}
prog.progObj = this.Link(shaderObjs)
if (prog.progObj) {
prog.attrInx = {};
var noOfAttributes = gl.getProgramParameter(prog.progObj, gl.ACTIVE_ATTRIBUTES);
for (var i_n = 0; i_n < noOfAttributes; ++i_n) {
var name = gl.getActiveAttrib(prog.progObj, i_n).name;
prog.attrInx[name] = gl.getAttribLocation(prog.progObj, name);
}
prog.uniLoc = {};
var noOfUniforms = gl.getProgramParameter(prog.progObj, gl.ACTIVE_UNIFORMS);
for (var i_n = 0; i_n < noOfUniforms; ++i_n) {
var name = gl.getActiveUniform(prog.progObj, i_n).name;
prog.uniLoc[name] = gl.getUniformLocation(prog.progObj, name);
}
}
return prog;
},
AttrI: function (prog, name) { return prog.attrInx[name]; },
UniformL: function (prog, name) { return prog.uniLoc[name]; },
Use: function (prog) { gl.useProgram(prog.progObj); },
SetI1: function (prog, name, val) { if (prog.uniLoc[name]) gl.uniform1i(prog.uniLoc[name], val); },
SetF1: function (prog, name, val) { if (prog.uniLoc[name]) gl.uniform1f(prog.uniLoc[name], val); },
SetF2: function (prog, name, arr) { if (prog.uniLoc[name]) gl.uniform2fv(prog.uniLoc[name], arr); },
SetF3: function (prog, name, arr) { if (prog.uniLoc[name]) gl.uniform3fv(prog.uniLoc[name], arr); },
SetF4: function (prog, name, arr) { if (prog.uniLoc[name]) gl.uniform4fv(prog.uniLoc[name], arr); },
SetM33: function (prog, name, mat) { if (prog.uniLoc[name]) gl.uniformMatrix3fv(prog.uniLoc[name], false, mat); },
SetM44: function (prog, name, mat) { if (prog.uniLoc[name]) gl.uniformMatrix4fv(prog.uniLoc[name], false, mat); },
Compile: function (source, shaderStage) {
var shaderScript = document.getElementById(source);
if (shaderScript)
source = shaderScript.text;
var shaderObj = gl.createShader(shaderStage);
gl.shaderSource(shaderObj, source);
gl.compileShader(shaderObj);
var status = gl.getShaderParameter(shaderObj, gl.COMPILE_STATUS);
if (!status) alert(gl.getShaderInfoLog(shaderObj));
return status ? shaderObj : null;
},
Link: function (shaderObjs) {
var prog = gl.createProgram();
for (var i_sh = 0; i_sh < shaderObjs.length; ++i_sh)
gl.attachShader(prog, shaderObjs[i_sh]);
gl.linkProgram(prog);
status = gl.getProgramParameter(prog, gl.LINK_STATUS);
if ( !status ) alert(gl.getProgramInfoLog(prog));
return status ? prog : null;
} };
var VertexBuffer = {
Create: function(attribs, indices, type) {
var buffer = { buf: [], attr: [], inx: gl.createBuffer(), inxLen: indices.length, primitive_type: type ? type : gl.TRIANGLES };
for (var i=0; i<attribs.length; ++i) {
buffer.buf.push(gl.createBuffer());
buffer.attr.push({ size : attribs[i].attrSize, loc : attribs[i].attrLoc, no_of: attribs[i].data.length/attribs[i].attrSize });
gl.bindBuffer(gl.ARRAY_BUFFER, buffer.buf[i]);
gl.bufferData(gl.ARRAY_BUFFER, new Float32Array( attribs[i].data ), gl.STATIC_DRAW);
}
gl.bindBuffer(gl.ARRAY_BUFFER, null);
if ( buffer.inxLen > 0 ) {
gl.bindBuffer(gl.ELEMENT_ARRAY_BUFFER, buffer.inx);
gl.bufferData(gl.ELEMENT_ARRAY_BUFFER, new Uint16Array( indices ), gl.STATIC_DRAW);
gl.bindBuffer(gl.ELEMENT_ARRAY_BUFFER, null);
}
return buffer;
},
Draw: function(bufObj) {
for (var i=0; i<bufObj.buf.length; ++i) {
gl.bindBuffer(gl.ARRAY_BUFFER, bufObj.buf[i]);
gl.vertexAttribPointer(bufObj.attr[i].loc, bufObj.attr[i].size, gl.FLOAT, false, 0, 0);
gl.enableVertexAttribArray( bufObj.attr[i].loc);
}
if ( bufObj.inxLen > 0 ) {
gl.bindBuffer(gl.ELEMENT_ARRAY_BUFFER, bufObj.inx);
gl.drawElements(bufObj.primitive_type, bufObj.inxLen, gl.UNSIGNED_SHORT, 0);
gl.bindBuffer( gl.ELEMENT_ARRAY_BUFFER, null );
}
else
gl.drawArrays(bufObj.primitive_type, 0, bufObj.attr[0].no_of );
for (var i=0; i<bufObj.buf.length; ++i)
gl.disableVertexAttribArray(bufObj.attr[i].loc);
gl.bindBuffer( gl.ARRAY_BUFFER, null );
} };
initScene();
})();
<script id="draw-shader-vs" type="x-shader/x-vertex">
precision highp float;
attribute vec3 inPos;
attribute vec3 inNV;
varying vec4 v_clip_pos;
uniform mat4 u_projectionMat44;
uniform mat4 u_viewMat44;
uniform mat4 u_modelMat44;
void main()
{
vec4 pos = u_viewMat44 * u_modelMat44 * vec4( inPos, 1.0 );
v_clip_pos = u_projectionMat44 * pos;
gl_Position = v_clip_pos;
}
</script>
<script id="draw-shader-fs" type="x-shader/x-fragment">
#extension GL_OES_standard_derivatives : enable
precision mediump float;
varying vec4 v_clip_pos;
uniform highp vec3 color;
void main()
{
vec3 ndc_pos = v_clip_pos.xyz / v_clip_pos.w;
vec3 dx = dFdx( ndc_pos );
vec3 dy = dFdy( ndc_pos );
vec3 N = normalize(cross(dx, dy));
N *= sign(N.z);
vec3 L = vec3(0.0, 0.0, 1.0);
float NdotL = dot(N, L);
vec3 diffuse_color = color * NdotL;
gl_FragColor = vec4( diffuse_color.rgb, 1.0 );
}
</script>
<canvas id="canvas" style="border: none;"></canvas>