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+// cuon-matrix.js (c) 2012 kanda and matsuda
+/**
+ * This is a class treating 4x4 matrix.
+ * This class contains the function that is equivalent to OpenGL matrix stack.
+ * The matrix after conversion is calculated by multiplying a conversion matrix from the right.
+ * The matrix is replaced by the calculated result.
+ */
+
+/**
+ * Constructor of Matrix4
+ * If opt_src is specified, new matrix is initialized by opt_src.
+ * Otherwise, new matrix is initialized by identity matrix.
+ * @param opt_src source matrix(option)
+ */
+var Matrix4 = function(opt_src) {
+ var i, s, d;
+ if (opt_src && typeof opt_src === 'object' && opt_src.hasOwnProperty('elements')) {
+ s = opt_src.elements;
+ d = new Float32Array(16);
+ for (i = 0; i < 16; ++i) {
+ d[i] = s[i];
+ }
+ this.elements = d;
+ } else {
+ this.elements = new Float32Array([1,0,0,0, 0,1,0,0, 0,0,1,0, 0,0,0,1]);
+ }
+};
+
+/**
+ * Set the identity matrix.
+ * @return this
+ */
+Matrix4.prototype.setIdentity = function() {
+ var e = this.elements;
+ e[0] = 1; e[4] = 0; e[8] = 0; e[12] = 0;
+ e[1] = 0; e[5] = 1; e[9] = 0; e[13] = 0;
+ e[2] = 0; e[6] = 0; e[10] = 1; e[14] = 0;
+ e[3] = 0; e[7] = 0; e[11] = 0; e[15] = 1;
+ return this;
+};
+
+/**
+ * Copy matrix.
+ * @param src source matrix
+ * @return this
+ */
+Matrix4.prototype.set = function(src) {
+ var i, s, d;
+
+ s = src.elements;
+ d = this.elements;
+
+ if (s === d) {
+ return;
+ }
+
+ for (i = 0; i < 16; ++i) {
+ d[i] = s[i];
+ }
+
+ return this;
+};
+
+/**
+ * Multiply the matrix from the right.
+ * @param other The multiply matrix
+ * @return this
+ */
+Matrix4.prototype.concat = function(other) {
+ var i, e, a, b, ai0, ai1, ai2, ai3;
+
+ // Calculate e = a * b
+ e = this.elements;
+ a = this.elements;
+ b = other.elements;
+
+ // If e equals b, copy b to temporary matrix.
+ if (e === b) {
+ b = new Float32Array(16);
+ for (i = 0; i < 16; ++i) {
+ b[i] = e[i];
+ }
+ }
+
+ for (i = 0; i < 4; i++) {
+ ai0=a[i]; ai1=a[i+4]; ai2=a[i+8]; ai3=a[i+12];
+ e[i] = ai0 * b[0] + ai1 * b[1] + ai2 * b[2] + ai3 * b[3];
+ e[i+4] = ai0 * b[4] + ai1 * b[5] + ai2 * b[6] + ai3 * b[7];
+ e[i+8] = ai0 * b[8] + ai1 * b[9] + ai2 * b[10] + ai3 * b[11];
+ e[i+12] = ai0 * b[12] + ai1 * b[13] + ai2 * b[14] + ai3 * b[15];
+ }
+
+ return this;
+};
+Matrix4.prototype.multiply = Matrix4.prototype.concat;
+
+/**
+ * Multiply the three-dimensional vector.
+ * @param pos The multiply vector
+ * @return The result of multiplication(Float32Array)
+ */
+Matrix4.prototype.multiplyVector3 = function(pos) {
+ var e = this.elements;
+ var p = pos.elements;
+ var v = new Vector3();
+ var result = v.elements;
+
+ result[0] = p[0] * e[0] + p[1] * e[4] + p[2] * e[ 8] + e[12];
+ result[1] = p[0] * e[1] + p[1] * e[5] + p[2] * e[ 9] + e[13];
+ result[2] = p[0] * e[2] + p[1] * e[6] + p[2] * e[10] + e[14];
+
+ return v;
+};
+
+/**
+ * Multiply the four-dimensional vector.
+ * @param pos The multiply vector
+ * @return The result of multiplication(Float32Array)
+ */
+Matrix4.prototype.multiplyVector4 = function(pos) {
+ var e = this.elements;
+ var p = pos.elements;
+ var v = new Vector4();
+ var result = v.elements;
+
+ result[0] = p[0] * e[0] + p[1] * e[4] + p[2] * e[ 8] + p[3] * e[12];
+ result[1] = p[0] * e[1] + p[1] * e[5] + p[2] * e[ 9] + p[3] * e[13];
+ result[2] = p[0] * e[2] + p[1] * e[6] + p[2] * e[10] + p[3] * e[14];
+ result[3] = p[0] * e[3] + p[1] * e[7] + p[2] * e[11] + p[3] * e[15];
+
+ return v;
+};
+
+/**
+ * Transpose the matrix.
+ * @return this
+ */
+Matrix4.prototype.transpose = function() {
+ var e, t;
+
+ e = this.elements;
+
+ t = e[ 1]; e[ 1] = e[ 4]; e[ 4] = t;
+ t = e[ 2]; e[ 2] = e[ 8]; e[ 8] = t;
+ t = e[ 3]; e[ 3] = e[12]; e[12] = t;
+ t = e[ 6]; e[ 6] = e[ 9]; e[ 9] = t;
+ t = e[ 7]; e[ 7] = e[13]; e[13] = t;
+ t = e[11]; e[11] = e[14]; e[14] = t;
+
+ return this;
+};
+
+/**
+ * Calculate the inverse matrix of specified matrix, and set to this.
+ * @param other The source matrix
+ * @return this
+ */
+Matrix4.prototype.setInverseOf = function(other) {
+ var i, s, d, inv, det;
+
+ s = other.elements;
+ d = this.elements;
+ inv = new Float32Array(16);
+
+ inv[0] = s[5]*s[10]*s[15] - s[5] *s[11]*s[14] - s[9] *s[6]*s[15]
+ + s[9]*s[7] *s[14] + s[13]*s[6] *s[11] - s[13]*s[7]*s[10];
+ inv[4] = - s[4]*s[10]*s[15] + s[4] *s[11]*s[14] + s[8] *s[6]*s[15]
+ - s[8]*s[7] *s[14] - s[12]*s[6] *s[11] + s[12]*s[7]*s[10];
+ inv[8] = s[4]*s[9] *s[15] - s[4] *s[11]*s[13] - s[8] *s[5]*s[15]
+ + s[8]*s[7] *s[13] + s[12]*s[5] *s[11] - s[12]*s[7]*s[9];
+ inv[12] = - s[4]*s[9] *s[14] + s[4] *s[10]*s[13] + s[8] *s[5]*s[14]
+ - s[8]*s[6] *s[13] - s[12]*s[5] *s[10] + s[12]*s[6]*s[9];
+
+ inv[1] = - s[1]*s[10]*s[15] + s[1] *s[11]*s[14] + s[9] *s[2]*s[15]
+ - s[9]*s[3] *s[14] - s[13]*s[2] *s[11] + s[13]*s[3]*s[10];
+ inv[5] = s[0]*s[10]*s[15] - s[0] *s[11]*s[14] - s[8] *s[2]*s[15]
+ + s[8]*s[3] *s[14] + s[12]*s[2] *s[11] - s[12]*s[3]*s[10];
+ inv[9] = - s[0]*s[9] *s[15] + s[0] *s[11]*s[13] + s[8] *s[1]*s[15]
+ - s[8]*s[3] *s[13] - s[12]*s[1] *s[11] + s[12]*s[3]*s[9];
+ inv[13] = s[0]*s[9] *s[14] - s[0] *s[10]*s[13] - s[8] *s[1]*s[14]
+ + s[8]*s[2] *s[13] + s[12]*s[1] *s[10] - s[12]*s[2]*s[9];
+
+ inv[2] = s[1]*s[6]*s[15] - s[1] *s[7]*s[14] - s[5] *s[2]*s[15]
+ + s[5]*s[3]*s[14] + s[13]*s[2]*s[7] - s[13]*s[3]*s[6];
+ inv[6] = - s[0]*s[6]*s[15] + s[0] *s[7]*s[14] + s[4] *s[2]*s[15]
+ - s[4]*s[3]*s[14] - s[12]*s[2]*s[7] + s[12]*s[3]*s[6];
+ inv[10] = s[0]*s[5]*s[15] - s[0] *s[7]*s[13] - s[4] *s[1]*s[15]
+ + s[4]*s[3]*s[13] + s[12]*s[1]*s[7] - s[12]*s[3]*s[5];
+ inv[14] = - s[0]*s[5]*s[14] + s[0] *s[6]*s[13] + s[4] *s[1]*s[14]
+ - s[4]*s[2]*s[13] - s[12]*s[1]*s[6] + s[12]*s[2]*s[5];
+
+ inv[3] = - s[1]*s[6]*s[11] + s[1]*s[7]*s[10] + s[5]*s[2]*s[11]
+ - s[5]*s[3]*s[10] - s[9]*s[2]*s[7] + s[9]*s[3]*s[6];
+ inv[7] = s[0]*s[6]*s[11] - s[0]*s[7]*s[10] - s[4]*s[2]*s[11]
+ + s[4]*s[3]*s[10] + s[8]*s[2]*s[7] - s[8]*s[3]*s[6];
+ inv[11] = - s[0]*s[5]*s[11] + s[0]*s[7]*s[9] + s[4]*s[1]*s[11]
+ - s[4]*s[3]*s[9] - s[8]*s[1]*s[7] + s[8]*s[3]*s[5];
+ inv[15] = s[0]*s[5]*s[10] - s[0]*s[6]*s[9] - s[4]*s[1]*s[10]
+ + s[4]*s[2]*s[9] + s[8]*s[1]*s[6] - s[8]*s[2]*s[5];
+
+ det = s[0]*inv[0] + s[1]*inv[4] + s[2]*inv[8] + s[3]*inv[12];
+ if (det === 0) {
+ return this;
+ }
+
+ det = 1 / det;
+ for (i = 0; i < 16; i++) {
+ d[i] = inv[i] * det;
+ }
+
+ return this;
+};
+
+/**
+ * Calculate the inverse matrix of this, and set to this.
+ * @return this
+ */
+Matrix4.prototype.invert = function() {
+ return this.setInverseOf(this);
+};
+
+/**
+ * Set the orthographic projection matrix.
+ * @param left The coordinate of the left of clipping plane.
+ * @param right The coordinate of the right of clipping plane.
+ * @param bottom The coordinate of the bottom of clipping plane.
+ * @param top The coordinate of the top top clipping plane.
+ * @param near The distances to the nearer depth clipping plane. This value is minus if the plane is to be behind the viewer.
+ * @param far The distances to the farther depth clipping plane. This value is minus if the plane is to be behind the viewer.
+ * @return this
+ */
+Matrix4.prototype.setOrtho = function(left, right, bottom, top, near, far) {
+ var e, rw, rh, rd;
+
+ if (left === right || bottom === top || near === far) {
+ throw 'null frustum';
+ }
+
+ rw = 1 / (right - left);
+ rh = 1 / (top - bottom);
+ rd = 1 / (far - near);
+
+ e = this.elements;
+
+ e[0] = 2 * rw;
+ e[1] = 0;
+ e[2] = 0;
+ e[3] = 0;
+
+ e[4] = 0;
+ e[5] = 2 * rh;
+ e[6] = 0;
+ e[7] = 0;
+
+ e[8] = 0;
+ e[9] = 0;
+ e[10] = -2 * rd;
+ e[11] = 0;
+
+ e[12] = -(right + left) * rw;
+ e[13] = -(top + bottom) * rh;
+ e[14] = -(far + near) * rd;
+ e[15] = 1;
+
+ return this;
+};
+
+/**
+ * Multiply the orthographic projection matrix from the right.
+ * @param left The coordinate of the left of clipping plane.
+ * @param right The coordinate of the right of clipping plane.
+ * @param bottom The coordinate of the bottom of clipping plane.
+ * @param top The coordinate of the top top clipping plane.
+ * @param near The distances to the nearer depth clipping plane. This value is minus if the plane is to be behind the viewer.
+ * @param far The distances to the farther depth clipping plane. This value is minus if the plane is to be behind the viewer.
+ * @return this
+ */
+Matrix4.prototype.ortho = function(left, right, bottom, top, near, far) {
+ return this.concat(new Matrix4().setOrtho(left, right, bottom, top, near, far));
+};
+
+/**
+ * Set the perspective projection matrix.
+ * @param left The coordinate of the left of clipping plane.
+ * @param right The coordinate of the right of clipping plane.
+ * @param bottom The coordinate of the bottom of clipping plane.
+ * @param top The coordinate of the top top clipping plane.
+ * @param near The distances to the nearer depth clipping plane. This value must be plus value.
+ * @param far The distances to the farther depth clipping plane. This value must be plus value.
+ * @return this
+ */
+Matrix4.prototype.setFrustum = function(left, right, bottom, top, near, far) {
+ var e, rw, rh, rd;
+
+ if (left === right || top === bottom || near === far) {
+ throw 'null frustum';
+ }
+ if (near <= 0) {
+ throw 'near <= 0';
+ }
+ if (far <= 0) {
+ throw 'far <= 0';
+ }
+
+ rw = 1 / (right - left);
+ rh = 1 / (top - bottom);
+ rd = 1 / (far - near);
+
+ e = this.elements;
+
+ e[ 0] = 2 * near * rw;
+ e[ 1] = 0;
+ e[ 2] = 0;
+ e[ 3] = 0;
+
+ e[ 4] = 0;
+ e[ 5] = 2 * near * rh;
+ e[ 6] = 0;
+ e[ 7] = 0;
+
+ e[ 8] = (right + left) * rw;
+ e[ 9] = (top + bottom) * rh;
+ e[10] = -(far + near) * rd;
+ e[11] = -1;
+
+ e[12] = 0;
+ e[13] = 0;
+ e[14] = -2 * near * far * rd;
+ e[15] = 0;
+
+ return this;
+};
+
+/**
+ * Multiply the perspective projection matrix from the right.
+ * @param left The coordinate of the left of clipping plane.
+ * @param right The coordinate of the right of clipping plane.
+ * @param bottom The coordinate of the bottom of clipping plane.
+ * @param top The coordinate of the top top clipping plane.
+ * @param near The distances to the nearer depth clipping plane. This value must be plus value.
+ * @param far The distances to the farther depth clipping plane. This value must be plus value.
+ * @return this
+ */
+Matrix4.prototype.frustum = function(left, right, bottom, top, near, far) {
+ return this.concat(new Matrix4().setFrustum(left, right, bottom, top, near, far));
+};
+
+/**
+ * Set the perspective projection matrix by fovy and aspect.
+ * @param fovy The angle between the upper and lower sides of the frustum.
+ * @param aspect The aspect ratio of the frustum. (width/height)
+ * @param near The distances to the nearer depth clipping plane. This value must be plus value.
+ * @param far The distances to the farther depth clipping plane. This value must be plus value.
+ * @return this
+ */
+Matrix4.prototype.setPerspective = function(fovy, aspect, near, far) {
+ var e, rd, s, ct;
+
+ if (near === far || aspect === 0) {
+ throw 'null frustum';
+ }
+ if (near <= 0) {
+ throw 'near <= 0';
+ }
+ if (far <= 0) {
+ throw 'far <= 0';
+ }
+
+ fovy = Math.PI * fovy / 180 / 2;
+ s = Math.sin(fovy);
+ if (s === 0) {
+ throw 'null frustum';
+ }
+
+ rd = 1 / (far - near);
+ ct = Math.cos(fovy) / s;
+
+ e = this.elements;
+
+ e[0] = ct / aspect;
+ e[1] = 0;
+ e[2] = 0;
+ e[3] = 0;
+
+ e[4] = 0;
+ e[5] = ct;
+ e[6] = 0;
+ e[7] = 0;
+
+ e[8] = 0;
+ e[9] = 0;
+ e[10] = -(far + near) * rd;
+ e[11] = -1;
+
+ e[12] = 0;
+ e[13] = 0;
+ e[14] = -2 * near * far * rd;
+ e[15] = 0;
+
+ return this;
+};
+
+/**
+ * Multiply the perspective projection matrix from the right.
+ * @param fovy The angle between the upper and lower sides of the frustum.
+ * @param aspect The aspect ratio of the frustum. (width/height)
+ * @param near The distances to the nearer depth clipping plane. This value must be plus value.
+ * @param far The distances to the farther depth clipping plane. This value must be plus value.
+ * @return this
+ */
+Matrix4.prototype.perspective = function(fovy, aspect, near, far) {
+ return this.concat(new Matrix4().setPerspective(fovy, aspect, near, far));
+};
+
+/**
+ * Set the matrix for scaling.
+ * @param x The scale factor along the X axis
+ * @param y The scale factor along the Y axis
+ * @param z The scale factor along the Z axis
+ * @return this
+ */
+Matrix4.prototype.setScale = function(x, y, z) {
+ var e = this.elements;
+ e[0] = x; e[4] = 0; e[8] = 0; e[12] = 0;
+ e[1] = 0; e[5] = y; e[9] = 0; e[13] = 0;
+ e[2] = 0; e[6] = 0; e[10] = z; e[14] = 0;
+ e[3] = 0; e[7] = 0; e[11] = 0; e[15] = 1;
+ return this;
+};
+
+/**
+ * Multiply the matrix for scaling from the right.
+ * @param x The scale factor along the X axis
+ * @param y The scale factor along the Y axis
+ * @param z The scale factor along the Z axis
+ * @return this
+ */
+Matrix4.prototype.scale = function(x, y, z) {
+ var e = this.elements;
+ e[0] *= x; e[4] *= y; e[8] *= z;
+ e[1] *= x; e[5] *= y; e[9] *= z;
+ e[2] *= x; e[6] *= y; e[10] *= z;
+ e[3] *= x; e[7] *= y; e[11] *= z;
+ return this;
+};
+
+/**
+ * Set the matrix for translation.
+ * @param x The X value of a translation.
+ * @param y The Y value of a translation.
+ * @param z The Z value of a translation.
+ * @return this
+ */
+Matrix4.prototype.setTranslate = function(x, y, z) {
+ var e = this.elements;
+ e[0] = 1; e[4] = 0; e[8] = 0; e[12] = x;
+ e[1] = 0; e[5] = 1; e[9] = 0; e[13] = y;
+ e[2] = 0; e[6] = 0; e[10] = 1; e[14] = z;
+ e[3] = 0; e[7] = 0; e[11] = 0; e[15] = 1;
+ return this;
+};
+
+/**
+ * Multiply the matrix for translation from the right.
+ * @param x The X value of a translation.
+ * @param y The Y value of a translation.
+ * @param z The Z value of a translation.
+ * @return this
+ */
+Matrix4.prototype.translate = function(x, y, z) {
+ var e = this.elements;
+ e[12] += e[0] * x + e[4] * y + e[8] * z;
+ e[13] += e[1] * x + e[5] * y + e[9] * z;
+ e[14] += e[2] * x + e[6] * y + e[10] * z;
+ e[15] += e[3] * x + e[7] * y + e[11] * z;
+ return this;
+};
+
+/**
+ * Set the matrix for rotation.
+ * The vector of rotation axis may not be normalized.
+ * @param angle The angle of rotation (degrees)
+ * @param x The X coordinate of vector of rotation axis.
+ * @param y The Y coordinate of vector of rotation axis.
+ * @param z The Z coordinate of vector of rotation axis.
+ * @return this
+ */
+Matrix4.prototype.setRotate = function(angle, x, y, z) {
+ var e, s, c, len, rlen, nc, xy, yz, zx, xs, ys, zs;
+
+ angle = Math.PI * angle / 180;
+ e = this.elements;
+
+ s = Math.sin(angle);
+ c = Math.cos(angle);
+
+ if (0 !== x && 0 === y && 0 === z) {
+ // Rotation around X axis
+ if (x < 0) {
+ s = -s;
+ }
+ e[0] = 1; e[4] = 0; e[ 8] = 0; e[12] = 0;
+ e[1] = 0; e[5] = c; e[ 9] =-s; e[13] = 0;
+ e[2] = 0; e[6] = s; e[10] = c; e[14] = 0;
+ e[3] = 0; e[7] = 0; e[11] = 0; e[15] = 1;
+ } else if (0 === x && 0 !== y && 0 === z) {
+ // Rotation around Y axis
+ if (y < 0) {
+ s = -s;
+ }
+ e[0] = c; e[4] = 0; e[ 8] = s; e[12] = 0;
+ e[1] = 0; e[5] = 1; e[ 9] = 0; e[13] = 0;
+ e[2] =-s; e[6] = 0; e[10] = c; e[14] = 0;
+ e[3] = 0; e[7] = 0; e[11] = 0; e[15] = 1;
+ } else if (0 === x && 0 === y && 0 !== z) {
+ // Rotation around Z axis
+ if (z < 0) {
+ s = -s;
+ }
+ e[0] = c; e[4] =-s; e[ 8] = 0; e[12] = 0;
+ e[1] = s; e[5] = c; e[ 9] = 0; e[13] = 0;
+ e[2] = 0; e[6] = 0; e[10] = 1; e[14] = 0;
+ e[3] = 0; e[7] = 0; e[11] = 0; e[15] = 1;
+ } else {
+ // Rotation around another axis
+ len = Math.sqrt(x*x + y*y + z*z);
+ if (len !== 1) {
+ rlen = 1 / len;
+ x *= rlen;
+ y *= rlen;
+ z *= rlen;
+ }
+ nc = 1 - c;
+ xy = x * y;
+ yz = y * z;
+ zx = z * x;
+ xs = x * s;
+ ys = y * s;
+ zs = z * s;
+
+ e[ 0] = x*x*nc + c;
+ e[ 1] = xy *nc + zs;
+ e[ 2] = zx *nc - ys;
+ e[ 3] = 0;
+
+ e[ 4] = xy *nc - zs;
+ e[ 5] = y*y*nc + c;
+ e[ 6] = yz *nc + xs;
+ e[ 7] = 0;
+
+ e[ 8] = zx *nc + ys;
+ e[ 9] = yz *nc - xs;
+ e[10] = z*z*nc + c;
+ e[11] = 0;
+
+ e[12] = 0;
+ e[13] = 0;
+ e[14] = 0;
+ e[15] = 1;
+ }
+
+ return this;
+};
+
+/**
+ * Multiply the matrix for rotation from the right.
+ * The vector of rotation axis may not be normalized.
+ * @param angle The angle of rotation (degrees)
+ * @param x The X coordinate of vector of rotation axis.
+ * @param y The Y coordinate of vector of rotation axis.
+ * @param z The Z coordinate of vector of rotation axis.
+ * @return this
+ */
+Matrix4.prototype.rotate = function(angle, x, y, z) {
+ return this.concat(new Matrix4().setRotate(angle, x, y, z));
+};
+
+/**
+ * Set the viewing matrix.
+ * @param eyeX, eyeY, eyeZ The position of the eye point.
+ * @param centerX, centerY, centerZ The position of the reference point.
+ * @param upX, upY, upZ The direction of the up vector.
+ * @return this
+ */
+Matrix4.prototype.setLookAt = function(eyeX, eyeY, eyeZ, centerX, centerY, centerZ, upX, upY, upZ) {
+ var e, fx, fy, fz, rlf, sx, sy, sz, rls, ux, uy, uz;
+
+ fx = centerX - eyeX;
+ fy = centerY - eyeY;
+ fz = centerZ - eyeZ;
+
+ // Normalize f.
+ rlf = 1 / Math.sqrt(fx*fx + fy*fy + fz*fz);
+ fx *= rlf;
+ fy *= rlf;
+ fz *= rlf;
+
+ // Calculate cross product of f and up.
+ sx = fy * upZ - fz * upY;
+ sy = fz * upX - fx * upZ;
+ sz = fx * upY - fy * upX;
+
+ // Normalize s.
+ rls = 1 / Math.sqrt(sx*sx + sy*sy + sz*sz);
+ sx *= rls;
+ sy *= rls;
+ sz *= rls;
+
+ // Calculate cross product of s and f.
+ ux = sy * fz - sz * fy;
+ uy = sz * fx - sx * fz;
+ uz = sx * fy - sy * fx;
+
+ // Set to this.
+ e = this.elements;
+ e[0] = sx;
+ e[1] = ux;
+ e[2] = -fx;
+ e[3] = 0;
+
+ e[4] = sy;
+ e[5] = uy;
+ e[6] = -fy;
+ e[7] = 0;
+
+ e[8] = sz;
+ e[9] = uz;
+ e[10] = -fz;
+ e[11] = 0;
+
+ e[12] = 0;
+ e[13] = 0;
+ e[14] = 0;
+ e[15] = 1;
+
+ // Translate.
+ return this.translate(-eyeX, -eyeY, -eyeZ);
+};
+
+/**
+ * Multiply the viewing matrix from the right.
+ * @param eyeX, eyeY, eyeZ The position of the eye point.
+ * @param centerX, centerY, centerZ The position of the reference point.
+ * @param upX, upY, upZ The direction of the up vector.
+ * @return this
+ */
+Matrix4.prototype.lookAt = function(eyeX, eyeY, eyeZ, centerX, centerY, centerZ, upX, upY, upZ) {
+ return this.concat(new Matrix4().setLookAt(eyeX, eyeY, eyeZ, centerX, centerY, centerZ, upX, upY, upZ));
+};
+
+/**
+ * Multiply the matrix for project vertex to plane from the right.
+ * @param plane The array[A, B, C, D] of the equation of plane "Ax + By + Cz + D = 0".
+ * @param light The array which stored coordinates of the light. if light[3]=0, treated as parallel light.
+ * @return this
+ */
+Matrix4.prototype.dropShadow = function(plane, light) {
+ var mat = new Matrix4();
+ var e = mat.elements;
+
+ var dot = plane[0] * light[0] + plane[1] * light[1] + plane[2] * light[2] + plane[3] * light[3];
+
+ e[ 0] = dot - light[0] * plane[0];
+ e[ 1] = - light[1] * plane[0];
+ e[ 2] = - light[2] * plane[0];
+ e[ 3] = - light[3] * plane[0];
+
+ e[ 4] = - light[0] * plane[1];
+ e[ 5] = dot - light[1] * plane[1];
+ e[ 6] = - light[2] * plane[1];
+ e[ 7] = - light[3] * plane[1];
+
+ e[ 8] = - light[0] * plane[2];
+ e[ 9] = - light[1] * plane[2];
+ e[10] = dot - light[2] * plane[2];
+ e[11] = - light[3] * plane[2];
+
+ e[12] = - light[0] * plane[3];
+ e[13] = - light[1] * plane[3];
+ e[14] = - light[2] * plane[3];
+ e[15] = dot - light[3] * plane[3];
+
+ return this.concat(mat);
+}
+
+/**
+ * Multiply the matrix for project vertex to plane from the right.(Projected by parallel light.)
+ * @param normX, normY, normZ The normal vector of the plane.(Not necessary to be normalized.)
+ * @param planeX, planeY, planeZ The coordinate of arbitrary points on a plane.
+ * @param lightX, lightY, lightZ The vector of the direction of light.(Not necessary to be normalized.)
+ * @return this
+ */
+Matrix4.prototype.dropShadowDirectionally = function(normX, normY, normZ, planeX, planeY, planeZ, lightX, lightY, lightZ) {
+ var a = planeX * normX + planeY * normY + planeZ * normZ;
+ return this.dropShadow([normX, normY, normZ, -a], [lightX, lightY, lightZ, 0]);
+};
+
+/**
+ * Constructor of Vector3
+ * If opt_src is specified, new vector is initialized by opt_src.
+ * @param opt_src source vector(option)
+ */
+var Vector3 = function(opt_src) {
+ var v = new Float32Array(3);
+ if (opt_src && typeof opt_src === 'object') {
+ v[0] = opt_src[0]; v[1] = opt_src[1]; v[2] = opt_src[2];
+ }
+ this.elements = v;
+}
+
+/**
+ * Normalize.
+ * @return this
+ */
+Vector3.prototype.normalize = function() {
+ var v = this.elements;
+ var c = v[0], d = v[1], e = v[2], g = Math.sqrt(c*c+d*d+e*e);
+ if(g){
+ if(g == 1)
+ return this;
+ } else {
+ v[0] = 0; v[1] = 0; v[2] = 0;
+ return this;
+ }
+ g = 1/g;
+ v[0] = c*g; v[1] = d*g; v[2] = e*g;
+ return this;
+};
+
+/**
+ * Constructor of Vector4
+ * If opt_src is specified, new vector is initialized by opt_src.
+ * @param opt_src source vector(option)
+ */
+var Vector4 = function(opt_src) {
+ var v = new Float32Array(4);
+ if (opt_src && typeof opt_src === 'object') {
+ v[0] = opt_src[0]; v[1] = opt_src[1]; v[2] = opt_src[2]; v[3] = opt_src[3];
+ }
+ this.elements = v;
+}
\ No newline at end of file
diff --git a/lab4/src/lab4.html b/lab4/src/lab4.html
index 2bb37bcbd21a70f6bb9acddb83953d93aa5bf516..6bf6d90b9b113e4d442999b4ff99e7528286c1d6 100644
--- a/lab4/src/lab4.html
+++ b/lab4/src/lab4.html
@@ -8,9 +8,14 @@
<canvas width="400" height="600" id="my-canvas">
Please use a browser that supports "canvas"
</canvas>
+<div id="which_light">lumière directionnelle</div>
+<div id="lightx">light x : </div>
+<div id="lighty">light y : </div>
+<div id="lightz">light z : </div>
<script src="../lib/webgl-utils.js"></script>
<script src="../lib/webgl-debug.js"></script>
<script src="../lib/cuon-utils.js"></script>
+<script src="../lib/cuon-matrix.js"></script>
<script src="lab4.js"></script>
</body>
</html>
\ No newline at end of file
diff --git a/lab4/src/lab4.js b/lab4/src/lab4.js
index 105a227db9e7e4d4abde40b5002e7c75eb860fb4..2e15fdd2cf6b74d257a8dd33cc0900c531529590 100644
--- a/lab4/src/lab4.js
+++ b/lab4/src/lab4.js
@@ -1,18 +1,509 @@
+var eyeX = 0.0;
+var eyeY = 3.0;
+var eyeZ = 15.0;
+
+var xLightDir = 0.0;
+var yLightDir = 0.0;
+var zLightDir = 7.0;
+
+var canvas;
+var gl;
+// Model matrix
+var u_MvpMatrix;
+var u_NormalMatrix;
+
+// light color
+var u_LightColor;
+
+// diffuse light direction
+var u_LightDirection;
+
+// ambient light components
+var u_ModelMatrix;
+var u_LightPosition;
+var u_AmbientLight;
+
+// click variable
+var u_Clicked;
+
+which_light = true;
+
+document.onkeydown = checkKey;
+function checkKey(e) {
+ switch (e.key) {
+
+ // camera
+ case 'w':
+ eyeY += 1
+ break;
+ case 's':
+ eyeY -= 1
+ break;
+ case 'a':
+ eyeX -= 1
+ break;
+ case 'd':
+ eyeX += 1
+ break;
+ case 'e':
+ eyeZ += 1
+ break;
+ case 'q':
+ eyeZ -= 1
+ break;
+
+ // light
+ case 'ArrowUp':
+ zLightDir -= 0.1
+ break;
+ case 'ArrowDown':
+ zLightDir += 0.1;
+ break;
+ case 'ArrowLeft':
+ xLightDir -= 0.1;
+ break;
+ case 'ArrowRight':
+ xLightDir += 0.1
+ break;
+ case 'o': // up
+ yLightDir += 0.1
+ break;
+ case 'p': // down
+ yLightDir -= 0.1
+ break;
+
+ // choose light
+ case 'c':
+ which_light = !which_light
+ initElements();
+ }
+};
+
// Vertex shader program
-const VSHADER_SOURCE =
- '\n' +
- // TODO: Implement your vertex shader code here
- '\n';
+var VSHADER_SOURCE_DIRECTIONAL =
+ 'attribute vec4 a_Position;\n' +
+ 'attribute vec4 a_Color;\n' +
+ 'attribute vec4 a_Normal;\n' + // Normal
+
+ 'uniform mat4 u_MvpMatrix;\n' +
+ 'uniform mat4 u_NormalMatrix;\n' +
+
+ 'uniform vec3 u_LightColor;\n' + // Light color
+ 'uniform vec3 u_LightDirection;\n' + // Light direction (in the world coordinate, normalized)
+
+ 'varying vec4 v_Color;\n' +
+
+ 'uniform bool u_Clicked;\n' +
+
+ 'void main() {\n' +
+ ' gl_Position = u_MvpMatrix * a_Position;\n' +
+ ' vec4 normal = u_NormalMatrix * a_Normal;\n' +
+ ' float nDotL = max(dot(u_LightDirection, normalize(normal.xyz)), 0.0);\n' +
+ ' vec3 diffuse = u_LightColor * a_Color.rgb * nDotL;\n' +
+
+ ' if (u_Clicked) {\n' + // Draw in red if mouse is pressed
+ ' v_Color = vec4(1.0, 0.0, 0.0, 1.0);\n' +
+ ' } else {\n' +
+ ' v_Color = vec4(diffuse, a_Color.a);\n' +
+ ' }\n' +
+ '}\n';
// Fragment shader program
-const FSHADER_SOURCE =
- '\n' +
- // TODO: Implement your fragment shader code here
- '\n';
+var FSHADER_SOURCE_DIRECTIONAL =
+
+ 'precision mediump float;\n' +
+
+ 'varying vec4 v_Color;\n' +
+
+ 'void main() {\n' +
+ ' gl_FragColor = v_Color;\n' +
+ '}\n';
+
+var VSHADER_SOURCE_PONCTUAL =
+ 'attribute vec4 a_Position;\n' +
+ 'attribute vec4 a_Color;\n' +
+ 'attribute vec4 a_Normal;\n' +
+
+ 'uniform mat4 u_MvpMatrix;\n' +
+ 'uniform mat4 u_ModelMatrix;\n' +
+ 'uniform mat4 u_NormalMatrix;\n' +
+
+ 'uniform vec3 u_AmbientLight;\n' +
+
+ 'varying vec3 normal;\n' +
+ 'varying vec4 vertexPosition;\n' +
+ 'varying vec3 ambient;\n' +
+
+ 'varying vec4 v_Color;\n' +
+
+ 'uniform bool u_Clicked;\n' +
+
+ 'void main() {\n' +
+ ' gl_Position = u_MvpMatrix * a_Position;\n' +
+ ' normal = normalize(vec3(u_NormalMatrix * a_Normal));\n' +
+ ' vertexPosition = u_ModelMatrix * a_Position;\n' +
+
+ ' ambient = u_AmbientLight * a_Color.xyz;\n' +
+
+ ' if (u_Clicked) {\n' + // Draw in red if mouse is pressed
+ ' v_Color = vec4(1.0, 0.0, 0.0, 1.0);\n' +
+ ' } else {\n' +
+ ' v_Color = a_Color;\n' +
+ ' }\n' +
+ '}\n';
+
+var FSHADER_SOURCE_PONCTUAL =
+ 'precision mediump float;\n' +
+
+ 'uniform vec3 u_LightColor;\n' +
+ 'uniform vec3 u_LightPosition;\n' +
+
+ 'varying vec4 v_Color;\n' +
+ 'varying vec3 normal;\n' +
+ 'varying vec4 vertexPosition;\n' +
+ 'varying vec3 ambient;\n' +
+
+ 'void main() {\n' +
+
+ ' vec3 lightDirection = normalize(u_LightPosition - vec3(vertexPosition));\n' +
+ ' float nDotL = max(dot(normal, lightDirection), 0.0);\n' +
+ ' vec3 diffuse = u_LightColor * v_Color.rgb * nDotL;\n' +
+
+ ' gl_FragColor = vec4(diffuse + ambient, v_Color.a);\n' +
+ '}\n';
+
+function initElements(){
+ // Initialize shaders
+ vh_source = VSHADER_SOURCE_DIRECTIONAL;
+ fh_source = FSHADER_SOURCE_DIRECTIONAL;
+ if (!which_light){
+ vh_source = VSHADER_SOURCE_PONCTUAL;
+ fh_source = FSHADER_SOURCE_PONCTUAL;
+ }
+ if (!initShaders(gl, vh_source, fh_source)) {
+ console.log('Failed to intialize shaders.');
+ return;
+ }
+
+ // clear canva
+ gl.clearColor(0, 0, 0, 1);
+ gl.enable(gl.DEPTH_TEST);
+ gl.depthFunc(gl.LEQUAL);
+
+ // Get the storage location of u_MvpMatrix
+ u_MvpMatrix = gl.getUniformLocation(gl.program, 'u_MvpMatrix');
+ if (!u_MvpMatrix) {
+ console.log('Failed to get the storage locations of u_MvpMatrix');
+ return -1;
+ }
+
+ u_LightColor = gl.getUniformLocation(gl.program, 'u_LightColor');
+ if (!u_LightColor) {
+ console.log('Failed to get the storage locations of u_LightColor');
+ return -1;
+ }
+
+ u_NormalMatrix = gl.getUniformLocation(gl.program, 'u_NormalMatrix');
+ if (!u_NormalMatrix) {
+ console.log('Failed to get the storage locations of u_NormalMatrix');
+ return -1;
+ }
+
+ u_Clicked = gl.getUniformLocation(gl.program, 'u_Clicked');
+ if (!u_Clicked) {
+ console.log('Failed to get the storage locations of u_Clicked');
+ return -1;
+ }
+
+ if (which_light){ // directionnal light
+ u_LightDirection = gl.getUniformLocation(gl.program, 'u_LightDirection');
+ if (!u_LightDirection) {
+ console.log('Failed to get the storage locations of u_LightDirection');
+ return -1;
+ }
+ }else { // ponctual light
+ u_ModelMatrix = gl.getUniformLocation(gl.program, 'u_ModelMatrix');
+ if (!u_ModelMatrix) {
+ console.log('Failed to get the storage locations of u_ModelMatrix');
+ return -1;
+ }
+
+ u_LightPosition = gl.getUniformLocation(gl.program, 'u_LightPosition');
+ if (!u_LightPosition) {
+ console.log('Failed to get the storage locations of u_LightPosition');
+ return -1;
+ }
+
+ u_AmbientLight = gl.getUniformLocation(gl.program, 'u_AmbientLight');
+ if (!u_AmbientLight) {
+ console.log('Failed to get the storage locations of u_AmbientLight');
+ return -1;
+ }
+ }
+
+ gl.uniform1i(u_Clicked, 0); // Pass false to u_Clicked
+}
function main() {
+
// Retrieve <canvas> element
- const canvas = document.getElementById('my-canvas');
+ canvas = document.getElementById('my-canvas');
+
+ // Get the rendering context for WebGL
+ gl = getWebGLContext(canvas);
+ if (!gl) {
+ console.log('Failed to get the rendering context for WebGL');
+ return;
+ }
+
+ initElements();
+
+ canvas.onmousedown = function(ev) { // Mouse is pressed
+ var x = ev.clientX, y = ev.clientY;
+ var rect = ev.target.getBoundingClientRect();
+ if (rect.left <= x && x < rect.right && rect.top <= y && y < rect.bottom) {
+
+ var vpMatrix = new Matrix4(); // View projection matrix
+ // Calculate the view projection matrix
+ vpMatrix.setPerspective(30, canvas.width/canvas.height, 1, 100);
+ vpMatrix.lookAt(eyeX, eyeY, eyeZ, 0, 0, 0, 0, 1, 0);
+ var modelMatrix = new Matrix4(); // Model matrix
+
+ // If pressed position is inside <canvas>, check if it is above object
+ var x_in_canvas = x - rect.left, y_in_canvas = rect.bottom - y;
+ var picked = check(gl, x_in_canvas, y_in_canvas, u_Clicked, vpMatrix, u_MvpMatrix, u_ModelMatrix, u_NormalMatrix, modelMatrix);
+ if (picked) alert('The Hourglass was selected');
+ }
+ }
+
+ setInterval(onTimerTick, 10);
+}
+
+function onTimerTick() {
+
+ var light = "lumière directionnelle"
+ if (!which_light){
+ light = "lumière ponctuelle"
+ }
+ document.getElementById('which_light').innerHTML = light;
+ document.getElementById('lightx').innerHTML = "light x : " + xLightDir;
+ document.getElementById('lighty').innerHTML = "light y : " + yLightDir;
+ document.getElementById('lightz').innerHTML = "light z : " + zLightDir;
+
+ vpMatrix = new Matrix4(); // View projection matrix
+ // Calculate the view projection matrix
+ vpMatrix.setPerspective(30, canvas.width/canvas.height, 1, 100);
+ vpMatrix.lookAt(eyeX, eyeY, eyeZ, 0, 0, 0, 0, 1, 0);
+
+ gl.uniform3f(u_LightColor, 1.0, 1.0, 1.0);
+ if (which_light){ // diffuse light
+ var lightDirection = new Vector3([xLightDir, yLightDir, zLightDir]);
+ lightDirection.normalize(); // Normalize
+ gl.uniform3fv(u_LightDirection, lightDirection.elements);
+ }else { // ambient light
+ // Set the light direction (in the world coordinate)
+ gl.uniform3f(u_LightPosition, xLightDir, yLightDir, zLightDir);
+ // Set the ambient light
+ gl.uniform3f(u_AmbientLight, 0.3, 0.3, 0.3);
+ }
+
+ gl.clear(gl.COLOR_BUFFER_BIT | gl.DEPTH_BUFFER_BIT);
+
+ var modelMatrix = new Matrix4(); // Model matrix
+
+ /*modelMatrix.rotate(xAngle, 1, 0, 0);
+ modelMatrix.rotate(yAngle, 0, 1, 0);*/
+
+ drawHourglass(gl, vpMatrix, u_MvpMatrix, u_ModelMatrix, u_NormalMatrix, modelMatrix)
+ //drawSquares(gl, canvas, u_MvpMatrix)
+ drawBase(gl, vpMatrix, u_MvpMatrix, u_ModelMatrix, u_NormalMatrix, modelMatrix)
+}
+
+function drawHourglass(gl, vpMatrix, u_MvpMatrix, u_ModelMatrix, u_NormalMatrix, modelMatrix){
+ // Write the positions of trapezes vertices to a vertex shader
+ var n = initVertexBufferHourglass(gl);
+ if (n < 0) {
+ console.log('Failed to set the positions of the vertices');
+ return;
+ }
+
+ var mvpMatrix = new Matrix4(); // Model view projection matrix
+ var normalMatrix = new Matrix4(); // Transformation matrix for normals
+
+ // first half of hourglass
+ modelMatrix.translate(0, 0.0, 0);
+ if (!which_light){ gl.uniformMatrix4fv(u_ModelMatrix, false, modelMatrix.elements); }
+ mvpMatrix.set(vpMatrix).multiply(modelMatrix);
+ gl.uniformMatrix4fv(u_MvpMatrix, false, mvpMatrix.elements);
+
+ normalMatrix.setInverseOf(modelMatrix);
+ normalMatrix.transpose();
+ gl.uniformMatrix4fv(u_NormalMatrix, false, normalMatrix.elements);
+
+ gl.drawElements(gl.TRIANGLES, n, gl.UNSIGNED_BYTE, 0);
+
+ // second half of hourglass
+ modelMatrix.translate(0, 1.0, 0);
+ modelMatrix.rotate(180, 0, 0, 1);
+ if (!which_light){ gl.uniformMatrix4fv(u_ModelMatrix, false, modelMatrix.elements); }
+ mvpMatrix.set(vpMatrix).multiply(modelMatrix);
+ gl.uniformMatrix4fv(u_MvpMatrix, false, mvpMatrix.elements);
+
+ normalMatrix.rotate(180, 0, 0, 1);
+ normalMatrix.transpose();
+ gl.uniformMatrix4fv(u_NormalMatrix, false, normalMatrix.elements);
+
+ gl.drawElements(gl.TRIANGLES, n, gl.UNSIGNED_BYTE, 0);
+}
+
+function drawBase(gl, vpMatrix, u_MvpMatrix, u_ModelMatrix, u_NormalMatrix, modelMatrix){
+ // Write the positions of square vertices to a vertex shader
+ var n = initVertexBufferBase(gl);
+ if (n < 0) {
+ console.log('Failed to set the positions of the vertices');
+ return;
+ }
+
+ var mvpMatrix = new Matrix4(); // Model view projection matrix
+ var normalMatrix = new Matrix4(); // Transformation matrix for normals
+
+ modelMatrix.translate(0, 2.01, 0);
+ if (!which_light){ gl.uniformMatrix4fv(u_ModelMatrix, false, modelMatrix.elements); }
+ mvpMatrix.set(vpMatrix).multiply(modelMatrix);
+ gl.uniformMatrix4fv(u_MvpMatrix, false, mvpMatrix.elements);
+
+ normalMatrix.setInverseOf(modelMatrix);
+ normalMatrix.transpose();
+ gl.uniformMatrix4fv(u_NormalMatrix, false, normalMatrix.elements);
+
+ gl.drawElements(gl.TRIANGLES, n, gl.UNSIGNED_BYTE, 0);
+}
+
+function initVertexBufferHourglass(gl){
+
+ const vertices = new Float32Array([
+ -0.25, 0.5, 0.25, 0.25, 0.5, 0.25, -0.5, -0.5, 0.5, 0.5, -0.5, 0.5, // front
+ 0.25, 0.5, 0.25, 0.25, 0.5, -0.25, 0.5, -0.5, 0.5, 0.5, -0.5, -0.5, // right
+ 0.25, 0.5, -0.25, -0.25, 0.5, -0.25, 0.5, -0.5, -0.5, -0.5, -0.5, -0.5, // back
+ -0.25, 0.5, -0.25, -0.25, 0.5, 0.25, -0.5, -0.5, -0.5, -0.5, -0.5, 0.5, // left
+ -0.25, 0.5, 0.25, 0.25, 0.5, 0.25, -0.25, 0.5, -0.25, 0.25, 0.5, -0.25, // up
+ -0.5, -0.5, 0.5, 0.5, -0.5, 0.5, -0.5, -0.5, -0.5, 0.5, -0.5, -0.5 // down
+ ]);
+
+ const colors = new Float32Array([
+ 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0,
+ 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0,
+ 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0,
+ 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0,
+ 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0,
+ 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0, 1.0, 1.0, 0.0
+ ]);
+
+ const indices = new Uint8Array([
+ 0, 1, 2, 1, 2, 3,
+ 4, 5, 6, 5, 6, 7,
+ 8, 9,10, 9,10,11,
+ 12,13,14, 13,14,15,
+ 16,17,18, 17,18,19,
+ 20,21,22, 21,22,23
+ ]);
+
+ const normals = new Float32Array([
+ 0.0, 0.25, 0.25, 0.0, 0.25, 0.25, 0.0, 0.25, 0.25, 0.0, 0.25, 0.25,
+ 0.25, 0.25, 0.0, 0.25, 0.25, 0.0, 0.25, 0.25, 0.0, 0.25, 0.25, 0.0,
+ 0.0, 0.25, -0.25, 0.0, 0.25, -0.25, 0.0, 0.25, -0.25, 0.0, 0.25, -0.25,
+ -0.25,0.25, 0.0, -0.25, 0.25, 0.0, -0.25, 0.25, 0.0, -0.25, 0.25, 0.0,
+ 0.0, 0.25, 0.0, 0.0, 0.25, 0.0, 0.0, 0.25, 0.0, 0.0, 0.25, 0.0,
+ 0.0, -0.25, 0.0, 0.0, -0.25, 0.0, 0.0, -0.25, 0.0, 0.0, -0.25, 0.0
+ ]);
+
+ initVertexBuffer(gl, vertices, colors, indices, normals)
+ return indices.length; // The number of vertices
+}
+
+function initVertexBufferBase(gl){
+
+ const vertices = new Float32Array([
+ -2.0, -0.50, 2.0, 2.0, -0.50, 2.0, 2.0, -0.50, -2.0, -2.0, -0.50, -2.0 // square
+ ]);
+
+ const colors = new Float32Array([
+ 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0
+ ]);
+
+ const indices = new Uint8Array([
+ 0, 1, 2, 0, 2, 3
+ ]);
+
+ const normals = new Float32Array([
+ -2.0, -0.50, 2.0, 2.0, -0.50, 2.0, 2.0, -0.50, -2.0, -2.0, -0.50, -2.0
+ ]);
+
+ initVertexBuffer(gl, vertices, colors, indices, normals)
+ return indices.length; // The number of vertices
+}
+
+// init vertex buffer with given vertices
+function initVertexBuffer(gl, vertices, colors, indices, normals) {
+
+ const n = indices.length; // The number of vertices
+
+ // Create a buffer object for indexes
+ var indexBuffer = gl.createBuffer();
+ if (!indexBuffer) {
+ console.log('Failed to create the buffer object');
+ return -1;
+ }
+ gl.bindBuffer(gl.ELEMENT_ARRAY_BUFFER, indexBuffer);
+ gl.bufferData(gl.ELEMENT_ARRAY_BUFFER, indices, gl.STATIC_DRAW);
+
+ // set array buffer for vertices
+ setArrayBuffer(gl, vertices, 'a_Position')
+
+ // set array buffer for color
+ setArrayBuffer(gl, colors, 'a_Color')
+
+ // set array buffer for normal
+ setArrayBuffer(gl, normals, 'a_Normal')
+
+ return n;
+}
+
+// set an array in the buffer of given attribute
+function setArrayBuffer(gl, array, attribute){
+
+ // Create a buffer object for vertices / colors
+ var vertexBuffer = gl.createBuffer();
+ if (!vertexBuffer) {
+ console.log('Failed to create the buffer object');
+ return -1;
+ }
+ gl.bindBuffer(gl.ARRAY_BUFFER, vertexBuffer);
+ gl.bufferData(gl.ARRAY_BUFFER, array, gl.STATIC_DRAW);
+
+ // Set attributes and uniforms
+ var attribute = gl.getAttribLocation(gl.program, attribute);
+ if (attribute < 0) {
+ console.log('Failed to get the storage location of a_Position');
+ return -1;
+ }
+ gl.vertexAttribPointer(attribute, 3, gl.FLOAT, false, 0, 0);
+ gl.enableVertexAttribArray(attribute);
+}
+
+function check(gl, x, y, u_Clicked, vpMatrix, u_MvpMatrix, u_ModelMatrix, u_NormalMatrix, modelMatrix) {
+ var picked = false;
+ gl.uniform1i(u_Clicked, 1); // Pass true to u_Clicked
+ drawHourglass(gl, vpMatrix, u_MvpMatrix, u_ModelMatrix, u_NormalMatrix, modelMatrix); // Draw cube with red
+ // Read pixel at the clicked position
+ var pixels = new Uint8Array(4); // Array for storing the pixel value
+ gl.readPixels(x, y, 1, 1, gl.RGBA, gl.UNSIGNED_BYTE, pixels);
+
+ if (pixels[0] == 255) // The mouse in on cube if R(pixels[0]) is 255
+ picked = true;
- // TODO: Complete with your code here
+ gl.uniform1i(u_Clicked, 0); // Pass false to u_Clicked(rewrite the cube)
+ drawHourglass(gl, vpMatrix, u_MvpMatrix, u_ModelMatrix, u_NormalMatrix, modelMatrix); // Draw the cube
+
+ return picked;
}
\ No newline at end of file