+ * [a, b, + * c, d, + * tx, ty] + *+ * This is a short form for the 3x3 matrix: + *
+ * [a, b, 0, + * c, d, 0, + * tx, ty, 1] + *+ * The last column is ignored so the array is shorter and operations are faster. + */ + +/** + * Creates a new identity mat2d + * + * @returns {mat2d} a new 2x3 matrix + */ +function create() { + var out = new glMatrix.ARRAY_TYPE(6); + + if (glMatrix.ARRAY_TYPE != Float32Array) { + out[1] = 0; + out[2] = 0; + out[4] = 0; + out[5] = 0; + } + + out[0] = 1; + out[3] = 1; + return out; +} +/** + * Creates a new mat2d initialized with values from an existing matrix + * + * @param {ReadonlyMat2d} a matrix to clone + * @returns {mat2d} a new 2x3 matrix + */ + + +function clone(a) { + var out = new glMatrix.ARRAY_TYPE(6); + out[0] = a[0]; + out[1] = a[1]; + out[2] = a[2]; + out[3] = a[3]; + out[4] = a[4]; + out[5] = a[5]; + return out; +} +/** + * Copy the values from one mat2d to another + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the source matrix + * @returns {mat2d} out + */ + + +function copy(out, a) { + out[0] = a[0]; + out[1] = a[1]; + out[2] = a[2]; + out[3] = a[3]; + out[4] = a[4]; + out[5] = a[5]; + return out; +} +/** + * Set a mat2d to the identity matrix + * + * @param {mat2d} out the receiving matrix + * @returns {mat2d} out + */ + + +function identity(out) { + out[0] = 1; + out[1] = 0; + out[2] = 0; + out[3] = 1; + out[4] = 0; + out[5] = 0; + return out; +} +/** + * Create a new mat2d with the given values + * + * @param {Number} a Component A (index 0) + * @param {Number} b Component B (index 1) + * @param {Number} c Component C (index 2) + * @param {Number} d Component D (index 3) + * @param {Number} tx Component TX (index 4) + * @param {Number} ty Component TY (index 5) + * @returns {mat2d} A new mat2d + */ + + +function fromValues(a, b, c, d, tx, ty) { + var out = new glMatrix.ARRAY_TYPE(6); + out[0] = a; + out[1] = b; + out[2] = c; + out[3] = d; + out[4] = tx; + out[5] = ty; + return out; +} +/** + * Set the components of a mat2d to the given values + * + * @param {mat2d} out the receiving matrix + * @param {Number} a Component A (index 0) + * @param {Number} b Component B (index 1) + * @param {Number} c Component C (index 2) + * @param {Number} d Component D (index 3) + * @param {Number} tx Component TX (index 4) + * @param {Number} ty Component TY (index 5) + * @returns {mat2d} out + */ + + +function set(out, a, b, c, d, tx, ty) { + out[0] = a; + out[1] = b; + out[2] = c; + out[3] = d; + out[4] = tx; + out[5] = ty; + return out; +} +/** + * Inverts a mat2d + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the source matrix + * @returns {mat2d} out + */ + + +function invert(out, a) { + var aa = a[0], + ab = a[1], + ac = a[2], + ad = a[3]; + var atx = a[4], + aty = a[5]; + var det = aa * ad - ab * ac; + + if (!det) { + return null; + } + + det = 1.0 / det; + out[0] = ad * det; + out[1] = -ab * det; + out[2] = -ac * det; + out[3] = aa * det; + out[4] = (ac * aty - ad * atx) * det; + out[5] = (ab * atx - aa * aty) * det; + return out; +} +/** + * Calculates the determinant of a mat2d + * + * @param {ReadonlyMat2d} a the source matrix + * @returns {Number} determinant of a + */ + + +function determinant(a) { + return a[0] * a[3] - a[1] * a[2]; +} +/** + * Multiplies two mat2d's + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @returns {mat2d} out + */ + + +function multiply(out, a, b) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5]; + var b0 = b[0], + b1 = b[1], + b2 = b[2], + b3 = b[3], + b4 = b[4], + b5 = b[5]; + out[0] = a0 * b0 + a2 * b1; + out[1] = a1 * b0 + a3 * b1; + out[2] = a0 * b2 + a2 * b3; + out[3] = a1 * b2 + a3 * b3; + out[4] = a0 * b4 + a2 * b5 + a4; + out[5] = a1 * b4 + a3 * b5 + a5; + return out; +} +/** + * Rotates a mat2d by the given angle + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to rotate + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat2d} out + */ + + +function rotate(out, a, rad) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5]; + var s = Math.sin(rad); + var c = Math.cos(rad); + out[0] = a0 * c + a2 * s; + out[1] = a1 * c + a3 * s; + out[2] = a0 * -s + a2 * c; + out[3] = a1 * -s + a3 * c; + out[4] = a4; + out[5] = a5; + return out; +} +/** + * Scales the mat2d by the dimensions in the given vec2 + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to translate + * @param {ReadonlyVec2} v the vec2 to scale the matrix by + * @returns {mat2d} out + **/ + + +function scale(out, a, v) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5]; + var v0 = v[0], + v1 = v[1]; + out[0] = a0 * v0; + out[1] = a1 * v0; + out[2] = a2 * v1; + out[3] = a3 * v1; + out[4] = a4; + out[5] = a5; + return out; +} +/** + * Translates the mat2d by the dimensions in the given vec2 + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to translate + * @param {ReadonlyVec2} v the vec2 to translate the matrix by + * @returns {mat2d} out + **/ + + +function translate(out, a, v) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5]; + var v0 = v[0], + v1 = v[1]; + out[0] = a0; + out[1] = a1; + out[2] = a2; + out[3] = a3; + out[4] = a0 * v0 + a2 * v1 + a4; + out[5] = a1 * v0 + a3 * v1 + a5; + return out; +} +/** + * Creates a matrix from a given angle + * This is equivalent to (but much faster than): + * + * mat2d.identity(dest); + * mat2d.rotate(dest, dest, rad); + * + * @param {mat2d} out mat2d receiving operation result + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat2d} out + */ + + +function fromRotation(out, rad) { + var s = Math.sin(rad), + c = Math.cos(rad); + out[0] = c; + out[1] = s; + out[2] = -s; + out[3] = c; + out[4] = 0; + out[5] = 0; + return out; +} +/** + * Creates a matrix from a vector scaling + * This is equivalent to (but much faster than): + * + * mat2d.identity(dest); + * mat2d.scale(dest, dest, vec); + * + * @param {mat2d} out mat2d receiving operation result + * @param {ReadonlyVec2} v Scaling vector + * @returns {mat2d} out + */ + + +function fromScaling(out, v) { + out[0] = v[0]; + out[1] = 0; + out[2] = 0; + out[3] = v[1]; + out[4] = 0; + out[5] = 0; + return out; +} +/** + * Creates a matrix from a vector translation + * This is equivalent to (but much faster than): + * + * mat2d.identity(dest); + * mat2d.translate(dest, dest, vec); + * + * @param {mat2d} out mat2d receiving operation result + * @param {ReadonlyVec2} v Translation vector + * @returns {mat2d} out + */ + + +function fromTranslation(out, v) { + out[0] = 1; + out[1] = 0; + out[2] = 0; + out[3] = 1; + out[4] = v[0]; + out[5] = v[1]; + return out; +} +/** + * Returns a string representation of a mat2d + * + * @param {ReadonlyMat2d} a matrix to represent as a string + * @returns {String} string representation of the matrix + */ + + +function str(a) { + return "mat2d(" + a[0] + ", " + a[1] + ", " + a[2] + ", " + a[3] + ", " + a[4] + ", " + a[5] + ")"; +} +/** + * Returns Frobenius norm of a mat2d + * + * @param {ReadonlyMat2d} a the matrix to calculate Frobenius norm of + * @returns {Number} Frobenius norm + */ + + +function frob(a) { + return Math.hypot(a[0], a[1], a[2], a[3], a[4], a[5], 1); +} +/** + * Adds two mat2d's + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @returns {mat2d} out + */ + + +function add(out, a, b) { + out[0] = a[0] + b[0]; + out[1] = a[1] + b[1]; + out[2] = a[2] + b[2]; + out[3] = a[3] + b[3]; + out[4] = a[4] + b[4]; + out[5] = a[5] + b[5]; + return out; +} +/** + * Subtracts matrix b from matrix a + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @returns {mat2d} out + */ + + +function subtract(out, a, b) { + out[0] = a[0] - b[0]; + out[1] = a[1] - b[1]; + out[2] = a[2] - b[2]; + out[3] = a[3] - b[3]; + out[4] = a[4] - b[4]; + out[5] = a[5] - b[5]; + return out; +} +/** + * Multiply each element of the matrix by a scalar. + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to scale + * @param {Number} b amount to scale the matrix's elements by + * @returns {mat2d} out + */ + + +function multiplyScalar(out, a, b) { + out[0] = a[0] * b; + out[1] = a[1] * b; + out[2] = a[2] * b; + out[3] = a[3] * b; + out[4] = a[4] * b; + out[5] = a[5] * b; + return out; +} +/** + * Adds two mat2d's after multiplying each element of the second operand by a scalar value. + * + * @param {mat2d} out the receiving vector + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @param {Number} scale the amount to scale b's elements by before adding + * @returns {mat2d} out + */ + + +function multiplyScalarAndAdd(out, a, b, scale) { + out[0] = a[0] + b[0] * scale; + out[1] = a[1] + b[1] * scale; + out[2] = a[2] + b[2] * scale; + out[3] = a[3] + b[3] * scale; + out[4] = a[4] + b[4] * scale; + out[5] = a[5] + b[5] * scale; + return out; +} +/** + * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===) + * + * @param {ReadonlyMat2d} a The first matrix. + * @param {ReadonlyMat2d} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + + +function exactEquals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3] && a[4] === b[4] && a[5] === b[5]; +} +/** + * Returns whether or not the matrices have approximately the same elements in the same position. + * + * @param {ReadonlyMat2d} a The first matrix. + * @param {ReadonlyMat2d} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + + +function equals(a, b) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5]; + var b0 = b[0], + b1 = b[1], + b2 = b[2], + b3 = b[3], + b4 = b[4], + b5 = b[5]; + return Math.abs(a0 - b0) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a0), Math.abs(b0)) && Math.abs(a1 - b1) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a1), Math.abs(b1)) && Math.abs(a2 - b2) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a2), Math.abs(b2)) && Math.abs(a3 - b3) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a3), Math.abs(b3)) && Math.abs(a4 - b4) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a4), Math.abs(b4)) && Math.abs(a5 - b5) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a5), Math.abs(b5)); +} +/** + * Alias for {@link mat2d.multiply} + * @function + */ + + +var mul = multiply; +/** + * Alias for {@link mat2d.subtract} + * @function + */ + +exports.mul = mul; +var sub = subtract; +exports.sub = sub; \ No newline at end of file diff --git a/assets/src/js/wacom/modules/gl-matrix/cjs/mat3.js b/assets/src/js/wacom/modules/gl-matrix/cjs/mat3.js new file mode 100755 index 0000000000..afb6247a7e --- /dev/null +++ b/assets/src/js/wacom/modules/gl-matrix/cjs/mat3.js @@ -0,0 +1,853 @@ +"use strict"; + +function _typeof(obj) { "@babel/helpers - typeof"; if (typeof Symbol === "function" && typeof Symbol.iterator === "symbol") { _typeof = function _typeof(obj) { return typeof obj; }; } else { _typeof = function _typeof(obj) { return obj && typeof Symbol === "function" && obj.constructor === Symbol && obj !== Symbol.prototype ? "symbol" : typeof obj; }; } return _typeof(obj); } + +Object.defineProperty(exports, "__esModule", { + value: true +}); +exports.create = create; +exports.fromMat4 = fromMat4; +exports.clone = clone; +exports.copy = copy; +exports.fromValues = fromValues; +exports.set = set; +exports.identity = identity; +exports.transpose = transpose; +exports.invert = invert; +exports.adjoint = adjoint; +exports.determinant = determinant; +exports.multiply = multiply; +exports.translate = translate; +exports.rotate = rotate; +exports.scale = scale; +exports.fromTranslation = fromTranslation; +exports.fromRotation = fromRotation; +exports.fromScaling = fromScaling; +exports.fromMat2d = fromMat2d; +exports.fromQuat = fromQuat; +exports.normalFromMat4 = normalFromMat4; +exports.projection = projection; +exports.str = str; +exports.frob = frob; +exports.add = add; +exports.subtract = subtract; +exports.multiplyScalar = multiplyScalar; +exports.multiplyScalarAndAdd = multiplyScalarAndAdd; +exports.exactEquals = exactEquals; +exports.equals = equals; +exports.sub = exports.mul = void 0; + +var glMatrix = _interopRequireWildcard(require("./common.js")); + +function _getRequireWildcardCache(nodeInterop) { if (typeof WeakMap !== "function") return null; var cacheBabelInterop = new WeakMap(); var cacheNodeInterop = new WeakMap(); return (_getRequireWildcardCache = function _getRequireWildcardCache(nodeInterop) { return nodeInterop ? cacheNodeInterop : cacheBabelInterop; })(nodeInterop); } + +function _interopRequireWildcard(obj, nodeInterop) { if (!nodeInterop && obj && obj.__esModule) { return obj; } if (obj === null || _typeof(obj) !== "object" && typeof obj !== "function") { return { "default": obj }; } var cache = _getRequireWildcardCache(nodeInterop); if (cache && cache.has(obj)) { return cache.get(obj); } var newObj = {}; var hasPropertyDescriptor = Object.defineProperty && Object.getOwnPropertyDescriptor; for (var key in obj) { if (key !== "default" && Object.prototype.hasOwnProperty.call(obj, key)) { var desc = hasPropertyDescriptor ? Object.getOwnPropertyDescriptor(obj, key) : null; if (desc && (desc.get || desc.set)) { Object.defineProperty(newObj, key, desc); } else { newObj[key] = obj[key]; } } } newObj["default"] = obj; if (cache) { cache.set(obj, newObj); } return newObj; } + +/** + * 3x3 Matrix + * @module mat3 + */ + +/** + * Creates a new identity mat3 + * + * @returns {mat3} a new 3x3 matrix + */ +function create() { + var out = new glMatrix.ARRAY_TYPE(9); + + if (glMatrix.ARRAY_TYPE != Float32Array) { + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[5] = 0; + out[6] = 0; + out[7] = 0; + } + + out[0] = 1; + out[4] = 1; + out[8] = 1; + return out; +} +/** + * Copies the upper-left 3x3 values into the given mat3. + * + * @param {mat3} out the receiving 3x3 matrix + * @param {ReadonlyMat4} a the source 4x4 matrix + * @returns {mat3} out + */ + + +function fromMat4(out, a) { + out[0] = a[0]; + out[1] = a[1]; + out[2] = a[2]; + out[3] = a[4]; + out[4] = a[5]; + out[5] = a[6]; + out[6] = a[8]; + out[7] = a[9]; + out[8] = a[10]; + return out; +} +/** + * Creates a new mat3 initialized with values from an existing matrix + * + * @param {ReadonlyMat3} a matrix to clone + * @returns {mat3} a new 3x3 matrix + */ + + +function clone(a) { + var out = new glMatrix.ARRAY_TYPE(9); + out[0] = a[0]; + out[1] = a[1]; + out[2] = a[2]; + out[3] = a[3]; + out[4] = a[4]; + out[5] = a[5]; + out[6] = a[6]; + out[7] = a[7]; + out[8] = a[8]; + return out; +} +/** + * Copy the values from one mat3 to another + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + + +function copy(out, a) { + out[0] = a[0]; + out[1] = a[1]; + out[2] = a[2]; + out[3] = a[3]; + out[4] = a[4]; + out[5] = a[5]; + out[6] = a[6]; + out[7] = a[7]; + out[8] = a[8]; + return out; +} +/** + * Create a new mat3 with the given values + * + * @param {Number} m00 Component in column 0, row 0 position (index 0) + * @param {Number} m01 Component in column 0, row 1 position (index 1) + * @param {Number} m02 Component in column 0, row 2 position (index 2) + * @param {Number} m10 Component in column 1, row 0 position (index 3) + * @param {Number} m11 Component in column 1, row 1 position (index 4) + * @param {Number} m12 Component in column 1, row 2 position (index 5) + * @param {Number} m20 Component in column 2, row 0 position (index 6) + * @param {Number} m21 Component in column 2, row 1 position (index 7) + * @param {Number} m22 Component in column 2, row 2 position (index 8) + * @returns {mat3} A new mat3 + */ + + +function fromValues(m00, m01, m02, m10, m11, m12, m20, m21, m22) { + var out = new glMatrix.ARRAY_TYPE(9); + out[0] = m00; + out[1] = m01; + out[2] = m02; + out[3] = m10; + out[4] = m11; + out[5] = m12; + out[6] = m20; + out[7] = m21; + out[8] = m22; + return out; +} +/** + * Set the components of a mat3 to the given values + * + * @param {mat3} out the receiving matrix + * @param {Number} m00 Component in column 0, row 0 position (index 0) + * @param {Number} m01 Component in column 0, row 1 position (index 1) + * @param {Number} m02 Component in column 0, row 2 position (index 2) + * @param {Number} m10 Component in column 1, row 0 position (index 3) + * @param {Number} m11 Component in column 1, row 1 position (index 4) + * @param {Number} m12 Component in column 1, row 2 position (index 5) + * @param {Number} m20 Component in column 2, row 0 position (index 6) + * @param {Number} m21 Component in column 2, row 1 position (index 7) + * @param {Number} m22 Component in column 2, row 2 position (index 8) + * @returns {mat3} out + */ + + +function set(out, m00, m01, m02, m10, m11, m12, m20, m21, m22) { + out[0] = m00; + out[1] = m01; + out[2] = m02; + out[3] = m10; + out[4] = m11; + out[5] = m12; + out[6] = m20; + out[7] = m21; + out[8] = m22; + return out; +} +/** + * Set a mat3 to the identity matrix + * + * @param {mat3} out the receiving matrix + * @returns {mat3} out + */ + + +function identity(out) { + out[0] = 1; + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[4] = 1; + out[5] = 0; + out[6] = 0; + out[7] = 0; + out[8] = 1; + return out; +} +/** + * Transpose the values of a mat3 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + + +function transpose(out, a) { + // If we are transposing ourselves we can skip a few steps but have to cache some values + if (out === a) { + var a01 = a[1], + a02 = a[2], + a12 = a[5]; + out[1] = a[3]; + out[2] = a[6]; + out[3] = a01; + out[5] = a[7]; + out[6] = a02; + out[7] = a12; + } else { + out[0] = a[0]; + out[1] = a[3]; + out[2] = a[6]; + out[3] = a[1]; + out[4] = a[4]; + out[5] = a[7]; + out[6] = a[2]; + out[7] = a[5]; + out[8] = a[8]; + } + + return out; +} +/** + * Inverts a mat3 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + + +function invert(out, a) { + var a00 = a[0], + a01 = a[1], + a02 = a[2]; + var a10 = a[3], + a11 = a[4], + a12 = a[5]; + var a20 = a[6], + a21 = a[7], + a22 = a[8]; + var b01 = a22 * a11 - a12 * a21; + var b11 = -a22 * a10 + a12 * a20; + var b21 = a21 * a10 - a11 * a20; // Calculate the determinant + + var det = a00 * b01 + a01 * b11 + a02 * b21; + + if (!det) { + return null; + } + + det = 1.0 / det; + out[0] = b01 * det; + out[1] = (-a22 * a01 + a02 * a21) * det; + out[2] = (a12 * a01 - a02 * a11) * det; + out[3] = b11 * det; + out[4] = (a22 * a00 - a02 * a20) * det; + out[5] = (-a12 * a00 + a02 * a10) * det; + out[6] = b21 * det; + out[7] = (-a21 * a00 + a01 * a20) * det; + out[8] = (a11 * a00 - a01 * a10) * det; + return out; +} +/** + * Calculates the adjugate of a mat3 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + + +function adjoint(out, a) { + var a00 = a[0], + a01 = a[1], + a02 = a[2]; + var a10 = a[3], + a11 = a[4], + a12 = a[5]; + var a20 = a[6], + a21 = a[7], + a22 = a[8]; + out[0] = a11 * a22 - a12 * a21; + out[1] = a02 * a21 - a01 * a22; + out[2] = a01 * a12 - a02 * a11; + out[3] = a12 * a20 - a10 * a22; + out[4] = a00 * a22 - a02 * a20; + out[5] = a02 * a10 - a00 * a12; + out[6] = a10 * a21 - a11 * a20; + out[7] = a01 * a20 - a00 * a21; + out[8] = a00 * a11 - a01 * a10; + return out; +} +/** + * Calculates the determinant of a mat3 + * + * @param {ReadonlyMat3} a the source matrix + * @returns {Number} determinant of a + */ + + +function determinant(a) { + var a00 = a[0], + a01 = a[1], + a02 = a[2]; + var a10 = a[3], + a11 = a[4], + a12 = a[5]; + var a20 = a[6], + a21 = a[7], + a22 = a[8]; + return a00 * (a22 * a11 - a12 * a21) + a01 * (-a22 * a10 + a12 * a20) + a02 * (a21 * a10 - a11 * a20); +} +/** + * Multiplies two mat3's + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @returns {mat3} out + */ + + +function multiply(out, a, b) { + var a00 = a[0], + a01 = a[1], + a02 = a[2]; + var a10 = a[3], + a11 = a[4], + a12 = a[5]; + var a20 = a[6], + a21 = a[7], + a22 = a[8]; + var b00 = b[0], + b01 = b[1], + b02 = b[2]; + var b10 = b[3], + b11 = b[4], + b12 = b[5]; + var b20 = b[6], + b21 = b[7], + b22 = b[8]; + out[0] = b00 * a00 + b01 * a10 + b02 * a20; + out[1] = b00 * a01 + b01 * a11 + b02 * a21; + out[2] = b00 * a02 + b01 * a12 + b02 * a22; + out[3] = b10 * a00 + b11 * a10 + b12 * a20; + out[4] = b10 * a01 + b11 * a11 + b12 * a21; + out[5] = b10 * a02 + b11 * a12 + b12 * a22; + out[6] = b20 * a00 + b21 * a10 + b22 * a20; + out[7] = b20 * a01 + b21 * a11 + b22 * a21; + out[8] = b20 * a02 + b21 * a12 + b22 * a22; + return out; +} +/** + * Translate a mat3 by the given vector + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the matrix to translate + * @param {ReadonlyVec2} v vector to translate by + * @returns {mat3} out + */ + + +function translate(out, a, v) { + var a00 = a[0], + a01 = a[1], + a02 = a[2], + a10 = a[3], + a11 = a[4], + a12 = a[5], + a20 = a[6], + a21 = a[7], + a22 = a[8], + x = v[0], + y = v[1]; + out[0] = a00; + out[1] = a01; + out[2] = a02; + out[3] = a10; + out[4] = a11; + out[5] = a12; + out[6] = x * a00 + y * a10 + a20; + out[7] = x * a01 + y * a11 + a21; + out[8] = x * a02 + y * a12 + a22; + return out; +} +/** + * Rotates a mat3 by the given angle + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the matrix to rotate + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat3} out + */ + + +function rotate(out, a, rad) { + var a00 = a[0], + a01 = a[1], + a02 = a[2], + a10 = a[3], + a11 = a[4], + a12 = a[5], + a20 = a[6], + a21 = a[7], + a22 = a[8], + s = Math.sin(rad), + c = Math.cos(rad); + out[0] = c * a00 + s * a10; + out[1] = c * a01 + s * a11; + out[2] = c * a02 + s * a12; + out[3] = c * a10 - s * a00; + out[4] = c * a11 - s * a01; + out[5] = c * a12 - s * a02; + out[6] = a20; + out[7] = a21; + out[8] = a22; + return out; +} +/** + * Scales the mat3 by the dimensions in the given vec2 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the matrix to rotate + * @param {ReadonlyVec2} v the vec2 to scale the matrix by + * @returns {mat3} out + **/ + + +function scale(out, a, v) { + var x = v[0], + y = v[1]; + out[0] = x * a[0]; + out[1] = x * a[1]; + out[2] = x * a[2]; + out[3] = y * a[3]; + out[4] = y * a[4]; + out[5] = y * a[5]; + out[6] = a[6]; + out[7] = a[7]; + out[8] = a[8]; + return out; +} +/** + * Creates a matrix from a vector translation + * This is equivalent to (but much faster than): + * + * mat3.identity(dest); + * mat3.translate(dest, dest, vec); + * + * @param {mat3} out mat3 receiving operation result + * @param {ReadonlyVec2} v Translation vector + * @returns {mat3} out + */ + + +function fromTranslation(out, v) { + out[0] = 1; + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[4] = 1; + out[5] = 0; + out[6] = v[0]; + out[7] = v[1]; + out[8] = 1; + return out; +} +/** + * Creates a matrix from a given angle + * This is equivalent to (but much faster than): + * + * mat3.identity(dest); + * mat3.rotate(dest, dest, rad); + * + * @param {mat3} out mat3 receiving operation result + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat3} out + */ + + +function fromRotation(out, rad) { + var s = Math.sin(rad), + c = Math.cos(rad); + out[0] = c; + out[1] = s; + out[2] = 0; + out[3] = -s; + out[4] = c; + out[5] = 0; + out[6] = 0; + out[7] = 0; + out[8] = 1; + return out; +} +/** + * Creates a matrix from a vector scaling + * This is equivalent to (but much faster than): + * + * mat3.identity(dest); + * mat3.scale(dest, dest, vec); + * + * @param {mat3} out mat3 receiving operation result + * @param {ReadonlyVec2} v Scaling vector + * @returns {mat3} out + */ + + +function fromScaling(out, v) { + out[0] = v[0]; + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[4] = v[1]; + out[5] = 0; + out[6] = 0; + out[7] = 0; + out[8] = 1; + return out; +} +/** + * Copies the values from a mat2d into a mat3 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to copy + * @returns {mat3} out + **/ + + +function fromMat2d(out, a) { + out[0] = a[0]; + out[1] = a[1]; + out[2] = 0; + out[3] = a[2]; + out[4] = a[3]; + out[5] = 0; + out[6] = a[4]; + out[7] = a[5]; + out[8] = 1; + return out; +} +/** + * Calculates a 3x3 matrix from the given quaternion + * + * @param {mat3} out mat3 receiving operation result + * @param {ReadonlyQuat} q Quaternion to create matrix from + * + * @returns {mat3} out + */ + + +function fromQuat(out, q) { + var x = q[0], + y = q[1], + z = q[2], + w = q[3]; + var x2 = x + x; + var y2 = y + y; + var z2 = z + z; + var xx = x * x2; + var yx = y * x2; + var yy = y * y2; + var zx = z * x2; + var zy = z * y2; + var zz = z * z2; + var wx = w * x2; + var wy = w * y2; + var wz = w * z2; + out[0] = 1 - yy - zz; + out[3] = yx - wz; + out[6] = zx + wy; + out[1] = yx + wz; + out[4] = 1 - xx - zz; + out[7] = zy - wx; + out[2] = zx - wy; + out[5] = zy + wx; + out[8] = 1 - xx - yy; + return out; +} +/** + * Calculates a 3x3 normal matrix (transpose inverse) from the 4x4 matrix + * + * @param {mat3} out mat3 receiving operation result + * @param {ReadonlyMat4} a Mat4 to derive the normal matrix from + * + * @returns {mat3} out + */ + + +function normalFromMat4(out, a) { + var a00 = a[0], + a01 = a[1], + a02 = a[2], + a03 = a[3]; + var a10 = a[4], + a11 = a[5], + a12 = a[6], + a13 = a[7]; + var a20 = a[8], + a21 = a[9], + a22 = a[10], + a23 = a[11]; + var a30 = a[12], + a31 = a[13], + a32 = a[14], + a33 = a[15]; + var b00 = a00 * a11 - a01 * a10; + var b01 = a00 * a12 - a02 * a10; + var b02 = a00 * a13 - a03 * a10; + var b03 = a01 * a12 - a02 * a11; + var b04 = a01 * a13 - a03 * a11; + var b05 = a02 * a13 - a03 * a12; + var b06 = a20 * a31 - a21 * a30; + var b07 = a20 * a32 - a22 * a30; + var b08 = a20 * a33 - a23 * a30; + var b09 = a21 * a32 - a22 * a31; + var b10 = a21 * a33 - a23 * a31; + var b11 = a22 * a33 - a23 * a32; // Calculate the determinant + + var det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06; + + if (!det) { + return null; + } + + det = 1.0 / det; + out[0] = (a11 * b11 - a12 * b10 + a13 * b09) * det; + out[1] = (a12 * b08 - a10 * b11 - a13 * b07) * det; + out[2] = (a10 * b10 - a11 * b08 + a13 * b06) * det; + out[3] = (a02 * b10 - a01 * b11 - a03 * b09) * det; + out[4] = (a00 * b11 - a02 * b08 + a03 * b07) * det; + out[5] = (a01 * b08 - a00 * b10 - a03 * b06) * det; + out[6] = (a31 * b05 - a32 * b04 + a33 * b03) * det; + out[7] = (a32 * b02 - a30 * b05 - a33 * b01) * det; + out[8] = (a30 * b04 - a31 * b02 + a33 * b00) * det; + return out; +} +/** + * Generates a 2D projection matrix with the given bounds + * + * @param {mat3} out mat3 frustum matrix will be written into + * @param {number} width Width of your gl context + * @param {number} height Height of gl context + * @returns {mat3} out + */ + + +function projection(out, width, height) { + out[0] = 2 / width; + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[4] = -2 / height; + out[5] = 0; + out[6] = -1; + out[7] = 1; + out[8] = 1; + return out; +} +/** + * Returns a string representation of a mat3 + * + * @param {ReadonlyMat3} a matrix to represent as a string + * @returns {String} string representation of the matrix + */ + + +function str(a) { + return "mat3(" + a[0] + ", " + a[1] + ", " + a[2] + ", " + a[3] + ", " + a[4] + ", " + a[5] + ", " + a[6] + ", " + a[7] + ", " + a[8] + ")"; +} +/** + * Returns Frobenius norm of a mat3 + * + * @param {ReadonlyMat3} a the matrix to calculate Frobenius norm of + * @returns {Number} Frobenius norm + */ + + +function frob(a) { + return Math.hypot(a[0], a[1], a[2], a[3], a[4], a[5], a[6], a[7], a[8]); +} +/** + * Adds two mat3's + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @returns {mat3} out + */ + + +function add(out, a, b) { + out[0] = a[0] + b[0]; + out[1] = a[1] + b[1]; + out[2] = a[2] + b[2]; + out[3] = a[3] + b[3]; + out[4] = a[4] + b[4]; + out[5] = a[5] + b[5]; + out[6] = a[6] + b[6]; + out[7] = a[7] + b[7]; + out[8] = a[8] + b[8]; + return out; +} +/** + * Subtracts matrix b from matrix a + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @returns {mat3} out + */ + + +function subtract(out, a, b) { + out[0] = a[0] - b[0]; + out[1] = a[1] - b[1]; + out[2] = a[2] - b[2]; + out[3] = a[3] - b[3]; + out[4] = a[4] - b[4]; + out[5] = a[5] - b[5]; + out[6] = a[6] - b[6]; + out[7] = a[7] - b[7]; + out[8] = a[8] - b[8]; + return out; +} +/** + * Multiply each element of the matrix by a scalar. + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the matrix to scale + * @param {Number} b amount to scale the matrix's elements by + * @returns {mat3} out + */ + + +function multiplyScalar(out, a, b) { + out[0] = a[0] * b; + out[1] = a[1] * b; + out[2] = a[2] * b; + out[3] = a[3] * b; + out[4] = a[4] * b; + out[5] = a[5] * b; + out[6] = a[6] * b; + out[7] = a[7] * b; + out[8] = a[8] * b; + return out; +} +/** + * Adds two mat3's after multiplying each element of the second operand by a scalar value. + * + * @param {mat3} out the receiving vector + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @param {Number} scale the amount to scale b's elements by before adding + * @returns {mat3} out + */ + + +function multiplyScalarAndAdd(out, a, b, scale) { + out[0] = a[0] + b[0] * scale; + out[1] = a[1] + b[1] * scale; + out[2] = a[2] + b[2] * scale; + out[3] = a[3] + b[3] * scale; + out[4] = a[4] + b[4] * scale; + out[5] = a[5] + b[5] * scale; + out[6] = a[6] + b[6] * scale; + out[7] = a[7] + b[7] * scale; + out[8] = a[8] + b[8] * scale; + return out; +} +/** + * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===) + * + * @param {ReadonlyMat3} a The first matrix. + * @param {ReadonlyMat3} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + + +function exactEquals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3] && a[4] === b[4] && a[5] === b[5] && a[6] === b[6] && a[7] === b[7] && a[8] === b[8]; +} +/** + * Returns whether or not the matrices have approximately the same elements in the same position. + * + * @param {ReadonlyMat3} a The first matrix. + * @param {ReadonlyMat3} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + + +function equals(a, b) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5], + a6 = a[6], + a7 = a[7], + a8 = a[8]; + var b0 = b[0], + b1 = b[1], + b2 = b[2], + b3 = b[3], + b4 = b[4], + b5 = b[5], + b6 = b[6], + b7 = b[7], + b8 = b[8]; + return Math.abs(a0 - b0) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a0), Math.abs(b0)) && Math.abs(a1 - b1) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a1), Math.abs(b1)) && Math.abs(a2 - b2) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a2), Math.abs(b2)) && Math.abs(a3 - b3) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a3), Math.abs(b3)) && Math.abs(a4 - b4) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a4), Math.abs(b4)) && Math.abs(a5 - b5) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a5), Math.abs(b5)) && Math.abs(a6 - b6) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a6), Math.abs(b6)) && Math.abs(a7 - b7) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a7), Math.abs(b7)) && Math.abs(a8 - b8) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a8), Math.abs(b8)); +} +/** + * Alias for {@link mat3.multiply} + * @function + */ + + +var mul = multiply; +/** + * Alias for {@link mat3.subtract} + * @function + */ + +exports.mul = mul; +var sub = subtract; +exports.sub = sub; \ No newline at end of file diff --git a/assets/src/js/wacom/modules/gl-matrix/cjs/mat4.js b/assets/src/js/wacom/modules/gl-matrix/cjs/mat4.js new file mode 100755 index 0000000000..2b536e72e8 --- /dev/null +++ b/assets/src/js/wacom/modules/gl-matrix/cjs/mat4.js @@ -0,0 +1,2023 @@ +"use strict"; + +function _typeof(obj) { "@babel/helpers - typeof"; if (typeof Symbol === "function" && typeof Symbol.iterator === "symbol") { _typeof = function _typeof(obj) { return typeof obj; }; } else { _typeof = function _typeof(obj) { return obj && typeof Symbol === "function" && obj.constructor === Symbol && obj !== Symbol.prototype ? "symbol" : typeof obj; }; } return _typeof(obj); } + +Object.defineProperty(exports, "__esModule", { + value: true +}); +exports.create = create; +exports.clone = clone; +exports.copy = copy; +exports.fromValues = fromValues; +exports.set = set; +exports.identity = identity; +exports.transpose = transpose; +exports.invert = invert; +exports.adjoint = adjoint; +exports.determinant = determinant; +exports.multiply = multiply; +exports.translate = translate; +exports.scale = scale; +exports.rotate = rotate; +exports.rotateX = rotateX; +exports.rotateY = rotateY; +exports.rotateZ = rotateZ; +exports.fromTranslation = fromTranslation; +exports.fromScaling = fromScaling; +exports.fromRotation = fromRotation; +exports.fromXRotation = fromXRotation; +exports.fromYRotation = fromYRotation; +exports.fromZRotation = fromZRotation; +exports.fromRotationTranslation = fromRotationTranslation; +exports.fromQuat2 = fromQuat2; +exports.getTranslation = getTranslation; +exports.getScaling = getScaling; +exports.getRotation = getRotation; +exports.fromRotationTranslationScale = fromRotationTranslationScale; +exports.fromRotationTranslationScaleOrigin = fromRotationTranslationScaleOrigin; +exports.fromQuat = fromQuat; +exports.frustum = frustum; +exports.perspectiveNO = perspectiveNO; +exports.perspectiveZO = perspectiveZO; +exports.perspectiveFromFieldOfView = perspectiveFromFieldOfView; +exports.orthoNO = orthoNO; +exports.orthoZO = orthoZO; +exports.lookAt = lookAt; +exports.targetTo = targetTo; +exports.str = str; +exports.frob = frob; +exports.add = add; +exports.subtract = subtract; +exports.multiplyScalar = multiplyScalar; +exports.multiplyScalarAndAdd = multiplyScalarAndAdd; +exports.exactEquals = exactEquals; +exports.equals = equals; +exports.sub = exports.mul = exports.ortho = exports.perspective = void 0; + +var glMatrix = _interopRequireWildcard(require("./common.js")); + +function _getRequireWildcardCache(nodeInterop) { if (typeof WeakMap !== "function") return null; var cacheBabelInterop = new WeakMap(); var cacheNodeInterop = new WeakMap(); return (_getRequireWildcardCache = function _getRequireWildcardCache(nodeInterop) { return nodeInterop ? cacheNodeInterop : cacheBabelInterop; })(nodeInterop); } + +function _interopRequireWildcard(obj, nodeInterop) { if (!nodeInterop && obj && obj.__esModule) { return obj; } if (obj === null || _typeof(obj) !== "object" && typeof obj !== "function") { return { "default": obj }; } var cache = _getRequireWildcardCache(nodeInterop); if (cache && cache.has(obj)) { return cache.get(obj); } var newObj = {}; var hasPropertyDescriptor = Object.defineProperty && Object.getOwnPropertyDescriptor; for (var key in obj) { if (key !== "default" && Object.prototype.hasOwnProperty.call(obj, key)) { var desc = hasPropertyDescriptor ? Object.getOwnPropertyDescriptor(obj, key) : null; if (desc && (desc.get || desc.set)) { Object.defineProperty(newObj, key, desc); } else { newObj[key] = obj[key]; } } } newObj["default"] = obj; if (cache) { cache.set(obj, newObj); } return newObj; } + +/** + * 4x4 Matrix
+ * [a, b, + * c, d, + * tx, ty] + *+ * This is a short form for the 3x3 matrix: + *
+ * [a, b, 0, + * c, d, 0, + * tx, ty, 1] + *+ * The last column is ignored so the array is shorter and operations are faster. + */ + +/** + * Creates a new identity mat2d + * + * @returns {mat2d} a new 2x3 matrix + */ + +export function create() { + var out = new glMatrix.ARRAY_TYPE(6); + + if (glMatrix.ARRAY_TYPE != Float32Array) { + out[1] = 0; + out[2] = 0; + out[4] = 0; + out[5] = 0; + } + + out[0] = 1; + out[3] = 1; + return out; +} +/** + * Creates a new mat2d initialized with values from an existing matrix + * + * @param {ReadonlyMat2d} a matrix to clone + * @returns {mat2d} a new 2x3 matrix + */ + +export function clone(a) { + var out = new glMatrix.ARRAY_TYPE(6); + out[0] = a[0]; + out[1] = a[1]; + out[2] = a[2]; + out[3] = a[3]; + out[4] = a[4]; + out[5] = a[5]; + return out; +} +/** + * Copy the values from one mat2d to another + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the source matrix + * @returns {mat2d} out + */ + +export function copy(out, a) { + out[0] = a[0]; + out[1] = a[1]; + out[2] = a[2]; + out[3] = a[3]; + out[4] = a[4]; + out[5] = a[5]; + return out; +} +/** + * Set a mat2d to the identity matrix + * + * @param {mat2d} out the receiving matrix + * @returns {mat2d} out + */ + +export function identity(out) { + out[0] = 1; + out[1] = 0; + out[2] = 0; + out[3] = 1; + out[4] = 0; + out[5] = 0; + return out; +} +/** + * Create a new mat2d with the given values + * + * @param {Number} a Component A (index 0) + * @param {Number} b Component B (index 1) + * @param {Number} c Component C (index 2) + * @param {Number} d Component D (index 3) + * @param {Number} tx Component TX (index 4) + * @param {Number} ty Component TY (index 5) + * @returns {mat2d} A new mat2d + */ + +export function fromValues(a, b, c, d, tx, ty) { + var out = new glMatrix.ARRAY_TYPE(6); + out[0] = a; + out[1] = b; + out[2] = c; + out[3] = d; + out[4] = tx; + out[5] = ty; + return out; +} +/** + * Set the components of a mat2d to the given values + * + * @param {mat2d} out the receiving matrix + * @param {Number} a Component A (index 0) + * @param {Number} b Component B (index 1) + * @param {Number} c Component C (index 2) + * @param {Number} d Component D (index 3) + * @param {Number} tx Component TX (index 4) + * @param {Number} ty Component TY (index 5) + * @returns {mat2d} out + */ + +export function set(out, a, b, c, d, tx, ty) { + out[0] = a; + out[1] = b; + out[2] = c; + out[3] = d; + out[4] = tx; + out[5] = ty; + return out; +} +/** + * Inverts a mat2d + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the source matrix + * @returns {mat2d} out + */ + +export function invert(out, a) { + var aa = a[0], + ab = a[1], + ac = a[2], + ad = a[3]; + var atx = a[4], + aty = a[5]; + var det = aa * ad - ab * ac; + + if (!det) { + return null; + } + + det = 1.0 / det; + out[0] = ad * det; + out[1] = -ab * det; + out[2] = -ac * det; + out[3] = aa * det; + out[4] = (ac * aty - ad * atx) * det; + out[5] = (ab * atx - aa * aty) * det; + return out; +} +/** + * Calculates the determinant of a mat2d + * + * @param {ReadonlyMat2d} a the source matrix + * @returns {Number} determinant of a + */ + +export function determinant(a) { + return a[0] * a[3] - a[1] * a[2]; +} +/** + * Multiplies two mat2d's + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @returns {mat2d} out + */ + +export function multiply(out, a, b) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5]; + var b0 = b[0], + b1 = b[1], + b2 = b[2], + b3 = b[3], + b4 = b[4], + b5 = b[5]; + out[0] = a0 * b0 + a2 * b1; + out[1] = a1 * b0 + a3 * b1; + out[2] = a0 * b2 + a2 * b3; + out[3] = a1 * b2 + a3 * b3; + out[4] = a0 * b4 + a2 * b5 + a4; + out[5] = a1 * b4 + a3 * b5 + a5; + return out; +} +/** + * Rotates a mat2d by the given angle + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to rotate + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat2d} out + */ + +export function rotate(out, a, rad) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5]; + var s = Math.sin(rad); + var c = Math.cos(rad); + out[0] = a0 * c + a2 * s; + out[1] = a1 * c + a3 * s; + out[2] = a0 * -s + a2 * c; + out[3] = a1 * -s + a3 * c; + out[4] = a4; + out[5] = a5; + return out; +} +/** + * Scales the mat2d by the dimensions in the given vec2 + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to translate + * @param {ReadonlyVec2} v the vec2 to scale the matrix by + * @returns {mat2d} out + **/ + +export function scale(out, a, v) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5]; + var v0 = v[0], + v1 = v[1]; + out[0] = a0 * v0; + out[1] = a1 * v0; + out[2] = a2 * v1; + out[3] = a3 * v1; + out[4] = a4; + out[5] = a5; + return out; +} +/** + * Translates the mat2d by the dimensions in the given vec2 + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to translate + * @param {ReadonlyVec2} v the vec2 to translate the matrix by + * @returns {mat2d} out + **/ + +export function translate(out, a, v) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5]; + var v0 = v[0], + v1 = v[1]; + out[0] = a0; + out[1] = a1; + out[2] = a2; + out[3] = a3; + out[4] = a0 * v0 + a2 * v1 + a4; + out[5] = a1 * v0 + a3 * v1 + a5; + return out; +} +/** + * Creates a matrix from a given angle + * This is equivalent to (but much faster than): + * + * mat2d.identity(dest); + * mat2d.rotate(dest, dest, rad); + * + * @param {mat2d} out mat2d receiving operation result + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat2d} out + */ + +export function fromRotation(out, rad) { + var s = Math.sin(rad), + c = Math.cos(rad); + out[0] = c; + out[1] = s; + out[2] = -s; + out[3] = c; + out[4] = 0; + out[5] = 0; + return out; +} +/** + * Creates a matrix from a vector scaling + * This is equivalent to (but much faster than): + * + * mat2d.identity(dest); + * mat2d.scale(dest, dest, vec); + * + * @param {mat2d} out mat2d receiving operation result + * @param {ReadonlyVec2} v Scaling vector + * @returns {mat2d} out + */ + +export function fromScaling(out, v) { + out[0] = v[0]; + out[1] = 0; + out[2] = 0; + out[3] = v[1]; + out[4] = 0; + out[5] = 0; + return out; +} +/** + * Creates a matrix from a vector translation + * This is equivalent to (but much faster than): + * + * mat2d.identity(dest); + * mat2d.translate(dest, dest, vec); + * + * @param {mat2d} out mat2d receiving operation result + * @param {ReadonlyVec2} v Translation vector + * @returns {mat2d} out + */ + +export function fromTranslation(out, v) { + out[0] = 1; + out[1] = 0; + out[2] = 0; + out[3] = 1; + out[4] = v[0]; + out[5] = v[1]; + return out; +} +/** + * Returns a string representation of a mat2d + * + * @param {ReadonlyMat2d} a matrix to represent as a string + * @returns {String} string representation of the matrix + */ + +export function str(a) { + return "mat2d(" + a[0] + ", " + a[1] + ", " + a[2] + ", " + a[3] + ", " + a[4] + ", " + a[5] + ")"; +} +/** + * Returns Frobenius norm of a mat2d + * + * @param {ReadonlyMat2d} a the matrix to calculate Frobenius norm of + * @returns {Number} Frobenius norm + */ + +export function frob(a) { + return Math.hypot(a[0], a[1], a[2], a[3], a[4], a[5], 1); +} +/** + * Adds two mat2d's + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @returns {mat2d} out + */ + +export function add(out, a, b) { + out[0] = a[0] + b[0]; + out[1] = a[1] + b[1]; + out[2] = a[2] + b[2]; + out[3] = a[3] + b[3]; + out[4] = a[4] + b[4]; + out[5] = a[5] + b[5]; + return out; +} +/** + * Subtracts matrix b from matrix a + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @returns {mat2d} out + */ + +export function subtract(out, a, b) { + out[0] = a[0] - b[0]; + out[1] = a[1] - b[1]; + out[2] = a[2] - b[2]; + out[3] = a[3] - b[3]; + out[4] = a[4] - b[4]; + out[5] = a[5] - b[5]; + return out; +} +/** + * Multiply each element of the matrix by a scalar. + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to scale + * @param {Number} b amount to scale the matrix's elements by + * @returns {mat2d} out + */ + +export function multiplyScalar(out, a, b) { + out[0] = a[0] * b; + out[1] = a[1] * b; + out[2] = a[2] * b; + out[3] = a[3] * b; + out[4] = a[4] * b; + out[5] = a[5] * b; + return out; +} +/** + * Adds two mat2d's after multiplying each element of the second operand by a scalar value. + * + * @param {mat2d} out the receiving vector + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @param {Number} scale the amount to scale b's elements by before adding + * @returns {mat2d} out + */ + +export function multiplyScalarAndAdd(out, a, b, scale) { + out[0] = a[0] + b[0] * scale; + out[1] = a[1] + b[1] * scale; + out[2] = a[2] + b[2] * scale; + out[3] = a[3] + b[3] * scale; + out[4] = a[4] + b[4] * scale; + out[5] = a[5] + b[5] * scale; + return out; +} +/** + * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===) + * + * @param {ReadonlyMat2d} a The first matrix. + * @param {ReadonlyMat2d} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + +export function exactEquals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3] && a[4] === b[4] && a[5] === b[5]; +} +/** + * Returns whether or not the matrices have approximately the same elements in the same position. + * + * @param {ReadonlyMat2d} a The first matrix. + * @param {ReadonlyMat2d} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + +export function equals(a, b) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5]; + var b0 = b[0], + b1 = b[1], + b2 = b[2], + b3 = b[3], + b4 = b[4], + b5 = b[5]; + return Math.abs(a0 - b0) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a0), Math.abs(b0)) && Math.abs(a1 - b1) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a1), Math.abs(b1)) && Math.abs(a2 - b2) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a2), Math.abs(b2)) && Math.abs(a3 - b3) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a3), Math.abs(b3)) && Math.abs(a4 - b4) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a4), Math.abs(b4)) && Math.abs(a5 - b5) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a5), Math.abs(b5)); +} +/** + * Alias for {@link mat2d.multiply} + * @function + */ + +export var mul = multiply; +/** + * Alias for {@link mat2d.subtract} + * @function + */ + +export var sub = subtract; \ No newline at end of file diff --git a/assets/src/js/wacom/modules/gl-matrix/esm/mat3.js b/assets/src/js/wacom/modules/gl-matrix/esm/mat3.js new file mode 100755 index 0000000000..13974ab104 --- /dev/null +++ b/assets/src/js/wacom/modules/gl-matrix/esm/mat3.js @@ -0,0 +1,778 @@ +import * as glMatrix from "./common.js"; +/** + * 3x3 Matrix + * @module mat3 + */ + +/** + * Creates a new identity mat3 + * + * @returns {mat3} a new 3x3 matrix + */ + +export function create() { + var out = new glMatrix.ARRAY_TYPE(9); + + if (glMatrix.ARRAY_TYPE != Float32Array) { + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[5] = 0; + out[6] = 0; + out[7] = 0; + } + + out[0] = 1; + out[4] = 1; + out[8] = 1; + return out; +} +/** + * Copies the upper-left 3x3 values into the given mat3. + * + * @param {mat3} out the receiving 3x3 matrix + * @param {ReadonlyMat4} a the source 4x4 matrix + * @returns {mat3} out + */ + +export function fromMat4(out, a) { + out[0] = a[0]; + out[1] = a[1]; + out[2] = a[2]; + out[3] = a[4]; + out[4] = a[5]; + out[5] = a[6]; + out[6] = a[8]; + out[7] = a[9]; + out[8] = a[10]; + return out; +} +/** + * Creates a new mat3 initialized with values from an existing matrix + * + * @param {ReadonlyMat3} a matrix to clone + * @returns {mat3} a new 3x3 matrix + */ + +export function clone(a) { + var out = new glMatrix.ARRAY_TYPE(9); + out[0] = a[0]; + out[1] = a[1]; + out[2] = a[2]; + out[3] = a[3]; + out[4] = a[4]; + out[5] = a[5]; + out[6] = a[6]; + out[7] = a[7]; + out[8] = a[8]; + return out; +} +/** + * Copy the values from one mat3 to another + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + +export function copy(out, a) { + out[0] = a[0]; + out[1] = a[1]; + out[2] = a[2]; + out[3] = a[3]; + out[4] = a[4]; + out[5] = a[5]; + out[6] = a[6]; + out[7] = a[7]; + out[8] = a[8]; + return out; +} +/** + * Create a new mat3 with the given values + * + * @param {Number} m00 Component in column 0, row 0 position (index 0) + * @param {Number} m01 Component in column 0, row 1 position (index 1) + * @param {Number} m02 Component in column 0, row 2 position (index 2) + * @param {Number} m10 Component in column 1, row 0 position (index 3) + * @param {Number} m11 Component in column 1, row 1 position (index 4) + * @param {Number} m12 Component in column 1, row 2 position (index 5) + * @param {Number} m20 Component in column 2, row 0 position (index 6) + * @param {Number} m21 Component in column 2, row 1 position (index 7) + * @param {Number} m22 Component in column 2, row 2 position (index 8) + * @returns {mat3} A new mat3 + */ + +export function fromValues(m00, m01, m02, m10, m11, m12, m20, m21, m22) { + var out = new glMatrix.ARRAY_TYPE(9); + out[0] = m00; + out[1] = m01; + out[2] = m02; + out[3] = m10; + out[4] = m11; + out[5] = m12; + out[6] = m20; + out[7] = m21; + out[8] = m22; + return out; +} +/** + * Set the components of a mat3 to the given values + * + * @param {mat3} out the receiving matrix + * @param {Number} m00 Component in column 0, row 0 position (index 0) + * @param {Number} m01 Component in column 0, row 1 position (index 1) + * @param {Number} m02 Component in column 0, row 2 position (index 2) + * @param {Number} m10 Component in column 1, row 0 position (index 3) + * @param {Number} m11 Component in column 1, row 1 position (index 4) + * @param {Number} m12 Component in column 1, row 2 position (index 5) + * @param {Number} m20 Component in column 2, row 0 position (index 6) + * @param {Number} m21 Component in column 2, row 1 position (index 7) + * @param {Number} m22 Component in column 2, row 2 position (index 8) + * @returns {mat3} out + */ + +export function set(out, m00, m01, m02, m10, m11, m12, m20, m21, m22) { + out[0] = m00; + out[1] = m01; + out[2] = m02; + out[3] = m10; + out[4] = m11; + out[5] = m12; + out[6] = m20; + out[7] = m21; + out[8] = m22; + return out; +} +/** + * Set a mat3 to the identity matrix + * + * @param {mat3} out the receiving matrix + * @returns {mat3} out + */ + +export function identity(out) { + out[0] = 1; + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[4] = 1; + out[5] = 0; + out[6] = 0; + out[7] = 0; + out[8] = 1; + return out; +} +/** + * Transpose the values of a mat3 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + +export function transpose(out, a) { + // If we are transposing ourselves we can skip a few steps but have to cache some values + if (out === a) { + var a01 = a[1], + a02 = a[2], + a12 = a[5]; + out[1] = a[3]; + out[2] = a[6]; + out[3] = a01; + out[5] = a[7]; + out[6] = a02; + out[7] = a12; + } else { + out[0] = a[0]; + out[1] = a[3]; + out[2] = a[6]; + out[3] = a[1]; + out[4] = a[4]; + out[5] = a[7]; + out[6] = a[2]; + out[7] = a[5]; + out[8] = a[8]; + } + + return out; +} +/** + * Inverts a mat3 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + +export function invert(out, a) { + var a00 = a[0], + a01 = a[1], + a02 = a[2]; + var a10 = a[3], + a11 = a[4], + a12 = a[5]; + var a20 = a[6], + a21 = a[7], + a22 = a[8]; + var b01 = a22 * a11 - a12 * a21; + var b11 = -a22 * a10 + a12 * a20; + var b21 = a21 * a10 - a11 * a20; // Calculate the determinant + + var det = a00 * b01 + a01 * b11 + a02 * b21; + + if (!det) { + return null; + } + + det = 1.0 / det; + out[0] = b01 * det; + out[1] = (-a22 * a01 + a02 * a21) * det; + out[2] = (a12 * a01 - a02 * a11) * det; + out[3] = b11 * det; + out[4] = (a22 * a00 - a02 * a20) * det; + out[5] = (-a12 * a00 + a02 * a10) * det; + out[6] = b21 * det; + out[7] = (-a21 * a00 + a01 * a20) * det; + out[8] = (a11 * a00 - a01 * a10) * det; + return out; +} +/** + * Calculates the adjugate of a mat3 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + +export function adjoint(out, a) { + var a00 = a[0], + a01 = a[1], + a02 = a[2]; + var a10 = a[3], + a11 = a[4], + a12 = a[5]; + var a20 = a[6], + a21 = a[7], + a22 = a[8]; + out[0] = a11 * a22 - a12 * a21; + out[1] = a02 * a21 - a01 * a22; + out[2] = a01 * a12 - a02 * a11; + out[3] = a12 * a20 - a10 * a22; + out[4] = a00 * a22 - a02 * a20; + out[5] = a02 * a10 - a00 * a12; + out[6] = a10 * a21 - a11 * a20; + out[7] = a01 * a20 - a00 * a21; + out[8] = a00 * a11 - a01 * a10; + return out; +} +/** + * Calculates the determinant of a mat3 + * + * @param {ReadonlyMat3} a the source matrix + * @returns {Number} determinant of a + */ + +export function determinant(a) { + var a00 = a[0], + a01 = a[1], + a02 = a[2]; + var a10 = a[3], + a11 = a[4], + a12 = a[5]; + var a20 = a[6], + a21 = a[7], + a22 = a[8]; + return a00 * (a22 * a11 - a12 * a21) + a01 * (-a22 * a10 + a12 * a20) + a02 * (a21 * a10 - a11 * a20); +} +/** + * Multiplies two mat3's + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @returns {mat3} out + */ + +export function multiply(out, a, b) { + var a00 = a[0], + a01 = a[1], + a02 = a[2]; + var a10 = a[3], + a11 = a[4], + a12 = a[5]; + var a20 = a[6], + a21 = a[7], + a22 = a[8]; + var b00 = b[0], + b01 = b[1], + b02 = b[2]; + var b10 = b[3], + b11 = b[4], + b12 = b[5]; + var b20 = b[6], + b21 = b[7], + b22 = b[8]; + out[0] = b00 * a00 + b01 * a10 + b02 * a20; + out[1] = b00 * a01 + b01 * a11 + b02 * a21; + out[2] = b00 * a02 + b01 * a12 + b02 * a22; + out[3] = b10 * a00 + b11 * a10 + b12 * a20; + out[4] = b10 * a01 + b11 * a11 + b12 * a21; + out[5] = b10 * a02 + b11 * a12 + b12 * a22; + out[6] = b20 * a00 + b21 * a10 + b22 * a20; + out[7] = b20 * a01 + b21 * a11 + b22 * a21; + out[8] = b20 * a02 + b21 * a12 + b22 * a22; + return out; +} +/** + * Translate a mat3 by the given vector + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the matrix to translate + * @param {ReadonlyVec2} v vector to translate by + * @returns {mat3} out + */ + +export function translate(out, a, v) { + var a00 = a[0], + a01 = a[1], + a02 = a[2], + a10 = a[3], + a11 = a[4], + a12 = a[5], + a20 = a[6], + a21 = a[7], + a22 = a[8], + x = v[0], + y = v[1]; + out[0] = a00; + out[1] = a01; + out[2] = a02; + out[3] = a10; + out[4] = a11; + out[5] = a12; + out[6] = x * a00 + y * a10 + a20; + out[7] = x * a01 + y * a11 + a21; + out[8] = x * a02 + y * a12 + a22; + return out; +} +/** + * Rotates a mat3 by the given angle + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the matrix to rotate + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat3} out + */ + +export function rotate(out, a, rad) { + var a00 = a[0], + a01 = a[1], + a02 = a[2], + a10 = a[3], + a11 = a[4], + a12 = a[5], + a20 = a[6], + a21 = a[7], + a22 = a[8], + s = Math.sin(rad), + c = Math.cos(rad); + out[0] = c * a00 + s * a10; + out[1] = c * a01 + s * a11; + out[2] = c * a02 + s * a12; + out[3] = c * a10 - s * a00; + out[4] = c * a11 - s * a01; + out[5] = c * a12 - s * a02; + out[6] = a20; + out[7] = a21; + out[8] = a22; + return out; +} +/** + * Scales the mat3 by the dimensions in the given vec2 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the matrix to rotate + * @param {ReadonlyVec2} v the vec2 to scale the matrix by + * @returns {mat3} out + **/ + +export function scale(out, a, v) { + var x = v[0], + y = v[1]; + out[0] = x * a[0]; + out[1] = x * a[1]; + out[2] = x * a[2]; + out[3] = y * a[3]; + out[4] = y * a[4]; + out[5] = y * a[5]; + out[6] = a[6]; + out[7] = a[7]; + out[8] = a[8]; + return out; +} +/** + * Creates a matrix from a vector translation + * This is equivalent to (but much faster than): + * + * mat3.identity(dest); + * mat3.translate(dest, dest, vec); + * + * @param {mat3} out mat3 receiving operation result + * @param {ReadonlyVec2} v Translation vector + * @returns {mat3} out + */ + +export function fromTranslation(out, v) { + out[0] = 1; + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[4] = 1; + out[5] = 0; + out[6] = v[0]; + out[7] = v[1]; + out[8] = 1; + return out; +} +/** + * Creates a matrix from a given angle + * This is equivalent to (but much faster than): + * + * mat3.identity(dest); + * mat3.rotate(dest, dest, rad); + * + * @param {mat3} out mat3 receiving operation result + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat3} out + */ + +export function fromRotation(out, rad) { + var s = Math.sin(rad), + c = Math.cos(rad); + out[0] = c; + out[1] = s; + out[2] = 0; + out[3] = -s; + out[4] = c; + out[5] = 0; + out[6] = 0; + out[7] = 0; + out[8] = 1; + return out; +} +/** + * Creates a matrix from a vector scaling + * This is equivalent to (but much faster than): + * + * mat3.identity(dest); + * mat3.scale(dest, dest, vec); + * + * @param {mat3} out mat3 receiving operation result + * @param {ReadonlyVec2} v Scaling vector + * @returns {mat3} out + */ + +export function fromScaling(out, v) { + out[0] = v[0]; + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[4] = v[1]; + out[5] = 0; + out[6] = 0; + out[7] = 0; + out[8] = 1; + return out; +} +/** + * Copies the values from a mat2d into a mat3 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to copy + * @returns {mat3} out + **/ + +export function fromMat2d(out, a) { + out[0] = a[0]; + out[1] = a[1]; + out[2] = 0; + out[3] = a[2]; + out[4] = a[3]; + out[5] = 0; + out[6] = a[4]; + out[7] = a[5]; + out[8] = 1; + return out; +} +/** + * Calculates a 3x3 matrix from the given quaternion + * + * @param {mat3} out mat3 receiving operation result + * @param {ReadonlyQuat} q Quaternion to create matrix from + * + * @returns {mat3} out + */ + +export function fromQuat(out, q) { + var x = q[0], + y = q[1], + z = q[2], + w = q[3]; + var x2 = x + x; + var y2 = y + y; + var z2 = z + z; + var xx = x * x2; + var yx = y * x2; + var yy = y * y2; + var zx = z * x2; + var zy = z * y2; + var zz = z * z2; + var wx = w * x2; + var wy = w * y2; + var wz = w * z2; + out[0] = 1 - yy - zz; + out[3] = yx - wz; + out[6] = zx + wy; + out[1] = yx + wz; + out[4] = 1 - xx - zz; + out[7] = zy - wx; + out[2] = zx - wy; + out[5] = zy + wx; + out[8] = 1 - xx - yy; + return out; +} +/** + * Calculates a 3x3 normal matrix (transpose inverse) from the 4x4 matrix + * + * @param {mat3} out mat3 receiving operation result + * @param {ReadonlyMat4} a Mat4 to derive the normal matrix from + * + * @returns {mat3} out + */ + +export function normalFromMat4(out, a) { + var a00 = a[0], + a01 = a[1], + a02 = a[2], + a03 = a[3]; + var a10 = a[4], + a11 = a[5], + a12 = a[6], + a13 = a[7]; + var a20 = a[8], + a21 = a[9], + a22 = a[10], + a23 = a[11]; + var a30 = a[12], + a31 = a[13], + a32 = a[14], + a33 = a[15]; + var b00 = a00 * a11 - a01 * a10; + var b01 = a00 * a12 - a02 * a10; + var b02 = a00 * a13 - a03 * a10; + var b03 = a01 * a12 - a02 * a11; + var b04 = a01 * a13 - a03 * a11; + var b05 = a02 * a13 - a03 * a12; + var b06 = a20 * a31 - a21 * a30; + var b07 = a20 * a32 - a22 * a30; + var b08 = a20 * a33 - a23 * a30; + var b09 = a21 * a32 - a22 * a31; + var b10 = a21 * a33 - a23 * a31; + var b11 = a22 * a33 - a23 * a32; // Calculate the determinant + + var det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06; + + if (!det) { + return null; + } + + det = 1.0 / det; + out[0] = (a11 * b11 - a12 * b10 + a13 * b09) * det; + out[1] = (a12 * b08 - a10 * b11 - a13 * b07) * det; + out[2] = (a10 * b10 - a11 * b08 + a13 * b06) * det; + out[3] = (a02 * b10 - a01 * b11 - a03 * b09) * det; + out[4] = (a00 * b11 - a02 * b08 + a03 * b07) * det; + out[5] = (a01 * b08 - a00 * b10 - a03 * b06) * det; + out[6] = (a31 * b05 - a32 * b04 + a33 * b03) * det; + out[7] = (a32 * b02 - a30 * b05 - a33 * b01) * det; + out[8] = (a30 * b04 - a31 * b02 + a33 * b00) * det; + return out; +} +/** + * Generates a 2D projection matrix with the given bounds + * + * @param {mat3} out mat3 frustum matrix will be written into + * @param {number} width Width of your gl context + * @param {number} height Height of gl context + * @returns {mat3} out + */ + +export function projection(out, width, height) { + out[0] = 2 / width; + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[4] = -2 / height; + out[5] = 0; + out[6] = -1; + out[7] = 1; + out[8] = 1; + return out; +} +/** + * Returns a string representation of a mat3 + * + * @param {ReadonlyMat3} a matrix to represent as a string + * @returns {String} string representation of the matrix + */ + +export function str(a) { + return "mat3(" + a[0] + ", " + a[1] + ", " + a[2] + ", " + a[3] + ", " + a[4] + ", " + a[5] + ", " + a[6] + ", " + a[7] + ", " + a[8] + ")"; +} +/** + * Returns Frobenius norm of a mat3 + * + * @param {ReadonlyMat3} a the matrix to calculate Frobenius norm of + * @returns {Number} Frobenius norm + */ + +export function frob(a) { + return Math.hypot(a[0], a[1], a[2], a[3], a[4], a[5], a[6], a[7], a[8]); +} +/** + * Adds two mat3's + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @returns {mat3} out + */ + +export function add(out, a, b) { + out[0] = a[0] + b[0]; + out[1] = a[1] + b[1]; + out[2] = a[2] + b[2]; + out[3] = a[3] + b[3]; + out[4] = a[4] + b[4]; + out[5] = a[5] + b[5]; + out[6] = a[6] + b[6]; + out[7] = a[7] + b[7]; + out[8] = a[8] + b[8]; + return out; +} +/** + * Subtracts matrix b from matrix a + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @returns {mat3} out + */ + +export function subtract(out, a, b) { + out[0] = a[0] - b[0]; + out[1] = a[1] - b[1]; + out[2] = a[2] - b[2]; + out[3] = a[3] - b[3]; + out[4] = a[4] - b[4]; + out[5] = a[5] - b[5]; + out[6] = a[6] - b[6]; + out[7] = a[7] - b[7]; + out[8] = a[8] - b[8]; + return out; +} +/** + * Multiply each element of the matrix by a scalar. + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the matrix to scale + * @param {Number} b amount to scale the matrix's elements by + * @returns {mat3} out + */ + +export function multiplyScalar(out, a, b) { + out[0] = a[0] * b; + out[1] = a[1] * b; + out[2] = a[2] * b; + out[3] = a[3] * b; + out[4] = a[4] * b; + out[5] = a[5] * b; + out[6] = a[6] * b; + out[7] = a[7] * b; + out[8] = a[8] * b; + return out; +} +/** + * Adds two mat3's after multiplying each element of the second operand by a scalar value. + * + * @param {mat3} out the receiving vector + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @param {Number} scale the amount to scale b's elements by before adding + * @returns {mat3} out + */ + +export function multiplyScalarAndAdd(out, a, b, scale) { + out[0] = a[0] + b[0] * scale; + out[1] = a[1] + b[1] * scale; + out[2] = a[2] + b[2] * scale; + out[3] = a[3] + b[3] * scale; + out[4] = a[4] + b[4] * scale; + out[5] = a[5] + b[5] * scale; + out[6] = a[6] + b[6] * scale; + out[7] = a[7] + b[7] * scale; + out[8] = a[8] + b[8] * scale; + return out; +} +/** + * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===) + * + * @param {ReadonlyMat3} a The first matrix. + * @param {ReadonlyMat3} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + +export function exactEquals(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3] && a[4] === b[4] && a[5] === b[5] && a[6] === b[6] && a[7] === b[7] && a[8] === b[8]; +} +/** + * Returns whether or not the matrices have approximately the same elements in the same position. + * + * @param {ReadonlyMat3} a The first matrix. + * @param {ReadonlyMat3} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + +export function equals(a, b) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5], + a6 = a[6], + a7 = a[7], + a8 = a[8]; + var b0 = b[0], + b1 = b[1], + b2 = b[2], + b3 = b[3], + b4 = b[4], + b5 = b[5], + b6 = b[6], + b7 = b[7], + b8 = b[8]; + return Math.abs(a0 - b0) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a0), Math.abs(b0)) && Math.abs(a1 - b1) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a1), Math.abs(b1)) && Math.abs(a2 - b2) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a2), Math.abs(b2)) && Math.abs(a3 - b3) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a3), Math.abs(b3)) && Math.abs(a4 - b4) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a4), Math.abs(b4)) && Math.abs(a5 - b5) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a5), Math.abs(b5)) && Math.abs(a6 - b6) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a6), Math.abs(b6)) && Math.abs(a7 - b7) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a7), Math.abs(b7)) && Math.abs(a8 - b8) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a8), Math.abs(b8)); +} +/** + * Alias for {@link mat3.multiply} + * @function + */ + +export var mul = multiply; +/** + * Alias for {@link mat3.subtract} + * @function + */ + +export var sub = subtract; \ No newline at end of file diff --git a/assets/src/js/wacom/modules/gl-matrix/esm/mat4.js b/assets/src/js/wacom/modules/gl-matrix/esm/mat4.js new file mode 100755 index 0000000000..edb7b76e44 --- /dev/null +++ b/assets/src/js/wacom/modules/gl-matrix/esm/mat4.js @@ -0,0 +1,1910 @@ +import * as glMatrix from "./common.js"; +/** + * 4x4 Matrix
+ * [a, b, + * c, d, + * tx, ty] + *+ * This is a short form for the 3x3 matrix: + *
+ * [a, b, 0, + * c, d, 0, + * tx, ty, 1] + *+ * The last column is ignored so the array is shorter and operations are faster. + */ + + /** + * Creates a new identity mat2d + * + * @returns {mat2d} a new 2x3 matrix + */ + + function create$1() { + var out = new ARRAY_TYPE(6); + + if (ARRAY_TYPE != Float32Array) { + out[1] = 0; + out[2] = 0; + out[4] = 0; + out[5] = 0; + } + + out[0] = 1; + out[3] = 1; + return out; + } + /** + * Creates a new mat2d initialized with values from an existing matrix + * + * @param {ReadonlyMat2d} a matrix to clone + * @returns {mat2d} a new 2x3 matrix + */ + + function clone$1(a) { + var out = new ARRAY_TYPE(6); + out[0] = a[0]; + out[1] = a[1]; + out[2] = a[2]; + out[3] = a[3]; + out[4] = a[4]; + out[5] = a[5]; + return out; + } + /** + * Copy the values from one mat2d to another + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the source matrix + * @returns {mat2d} out + */ + + function copy$1(out, a) { + out[0] = a[0]; + out[1] = a[1]; + out[2] = a[2]; + out[3] = a[3]; + out[4] = a[4]; + out[5] = a[5]; + return out; + } + /** + * Set a mat2d to the identity matrix + * + * @param {mat2d} out the receiving matrix + * @returns {mat2d} out + */ + + function identity$1(out) { + out[0] = 1; + out[1] = 0; + out[2] = 0; + out[3] = 1; + out[4] = 0; + out[5] = 0; + return out; + } + /** + * Create a new mat2d with the given values + * + * @param {Number} a Component A (index 0) + * @param {Number} b Component B (index 1) + * @param {Number} c Component C (index 2) + * @param {Number} d Component D (index 3) + * @param {Number} tx Component TX (index 4) + * @param {Number} ty Component TY (index 5) + * @returns {mat2d} A new mat2d + */ + + function fromValues$1(a, b, c, d, tx, ty) { + var out = new ARRAY_TYPE(6); + out[0] = a; + out[1] = b; + out[2] = c; + out[3] = d; + out[4] = tx; + out[5] = ty; + return out; + } + /** + * Set the components of a mat2d to the given values + * + * @param {mat2d} out the receiving matrix + * @param {Number} a Component A (index 0) + * @param {Number} b Component B (index 1) + * @param {Number} c Component C (index 2) + * @param {Number} d Component D (index 3) + * @param {Number} tx Component TX (index 4) + * @param {Number} ty Component TY (index 5) + * @returns {mat2d} out + */ + + function set$1(out, a, b, c, d, tx, ty) { + out[0] = a; + out[1] = b; + out[2] = c; + out[3] = d; + out[4] = tx; + out[5] = ty; + return out; + } + /** + * Inverts a mat2d + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the source matrix + * @returns {mat2d} out + */ + + function invert$1(out, a) { + var aa = a[0], + ab = a[1], + ac = a[2], + ad = a[3]; + var atx = a[4], + aty = a[5]; + var det = aa * ad - ab * ac; + + if (!det) { + return null; + } + + det = 1.0 / det; + out[0] = ad * det; + out[1] = -ab * det; + out[2] = -ac * det; + out[3] = aa * det; + out[4] = (ac * aty - ad * atx) * det; + out[5] = (ab * atx - aa * aty) * det; + return out; + } + /** + * Calculates the determinant of a mat2d + * + * @param {ReadonlyMat2d} a the source matrix + * @returns {Number} determinant of a + */ + + function determinant$1(a) { + return a[0] * a[3] - a[1] * a[2]; + } + /** + * Multiplies two mat2d's + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @returns {mat2d} out + */ + + function multiply$1(out, a, b) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5]; + var b0 = b[0], + b1 = b[1], + b2 = b[2], + b3 = b[3], + b4 = b[4], + b5 = b[5]; + out[0] = a0 * b0 + a2 * b1; + out[1] = a1 * b0 + a3 * b1; + out[2] = a0 * b2 + a2 * b3; + out[3] = a1 * b2 + a3 * b3; + out[4] = a0 * b4 + a2 * b5 + a4; + out[5] = a1 * b4 + a3 * b5 + a5; + return out; + } + /** + * Rotates a mat2d by the given angle + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to rotate + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat2d} out + */ + + function rotate$1(out, a, rad) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5]; + var s = Math.sin(rad); + var c = Math.cos(rad); + out[0] = a0 * c + a2 * s; + out[1] = a1 * c + a3 * s; + out[2] = a0 * -s + a2 * c; + out[3] = a1 * -s + a3 * c; + out[4] = a4; + out[5] = a5; + return out; + } + /** + * Scales the mat2d by the dimensions in the given vec2 + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to translate + * @param {ReadonlyVec2} v the vec2 to scale the matrix by + * @returns {mat2d} out + **/ + + function scale$1(out, a, v) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5]; + var v0 = v[0], + v1 = v[1]; + out[0] = a0 * v0; + out[1] = a1 * v0; + out[2] = a2 * v1; + out[3] = a3 * v1; + out[4] = a4; + out[5] = a5; + return out; + } + /** + * Translates the mat2d by the dimensions in the given vec2 + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to translate + * @param {ReadonlyVec2} v the vec2 to translate the matrix by + * @returns {mat2d} out + **/ + + function translate(out, a, v) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5]; + var v0 = v[0], + v1 = v[1]; + out[0] = a0; + out[1] = a1; + out[2] = a2; + out[3] = a3; + out[4] = a0 * v0 + a2 * v1 + a4; + out[5] = a1 * v0 + a3 * v1 + a5; + return out; + } + /** + * Creates a matrix from a given angle + * This is equivalent to (but much faster than): + * + * mat2d.identity(dest); + * mat2d.rotate(dest, dest, rad); + * + * @param {mat2d} out mat2d receiving operation result + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat2d} out + */ + + function fromRotation$1(out, rad) { + var s = Math.sin(rad), + c = Math.cos(rad); + out[0] = c; + out[1] = s; + out[2] = -s; + out[3] = c; + out[4] = 0; + out[5] = 0; + return out; + } + /** + * Creates a matrix from a vector scaling + * This is equivalent to (but much faster than): + * + * mat2d.identity(dest); + * mat2d.scale(dest, dest, vec); + * + * @param {mat2d} out mat2d receiving operation result + * @param {ReadonlyVec2} v Scaling vector + * @returns {mat2d} out + */ + + function fromScaling$1(out, v) { + out[0] = v[0]; + out[1] = 0; + out[2] = 0; + out[3] = v[1]; + out[4] = 0; + out[5] = 0; + return out; + } + /** + * Creates a matrix from a vector translation + * This is equivalent to (but much faster than): + * + * mat2d.identity(dest); + * mat2d.translate(dest, dest, vec); + * + * @param {mat2d} out mat2d receiving operation result + * @param {ReadonlyVec2} v Translation vector + * @returns {mat2d} out + */ + + function fromTranslation(out, v) { + out[0] = 1; + out[1] = 0; + out[2] = 0; + out[3] = 1; + out[4] = v[0]; + out[5] = v[1]; + return out; + } + /** + * Returns a string representation of a mat2d + * + * @param {ReadonlyMat2d} a matrix to represent as a string + * @returns {String} string representation of the matrix + */ + + function str$1(a) { + return "mat2d(" + a[0] + ", " + a[1] + ", " + a[2] + ", " + a[3] + ", " + a[4] + ", " + a[5] + ")"; + } + /** + * Returns Frobenius norm of a mat2d + * + * @param {ReadonlyMat2d} a the matrix to calculate Frobenius norm of + * @returns {Number} Frobenius norm + */ + + function frob$1(a) { + return Math.hypot(a[0], a[1], a[2], a[3], a[4], a[5], 1); + } + /** + * Adds two mat2d's + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @returns {mat2d} out + */ + + function add$1(out, a, b) { + out[0] = a[0] + b[0]; + out[1] = a[1] + b[1]; + out[2] = a[2] + b[2]; + out[3] = a[3] + b[3]; + out[4] = a[4] + b[4]; + out[5] = a[5] + b[5]; + return out; + } + /** + * Subtracts matrix b from matrix a + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @returns {mat2d} out + */ + + function subtract$1(out, a, b) { + out[0] = a[0] - b[0]; + out[1] = a[1] - b[1]; + out[2] = a[2] - b[2]; + out[3] = a[3] - b[3]; + out[4] = a[4] - b[4]; + out[5] = a[5] - b[5]; + return out; + } + /** + * Multiply each element of the matrix by a scalar. + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to scale + * @param {Number} b amount to scale the matrix's elements by + * @returns {mat2d} out + */ + + function multiplyScalar$1(out, a, b) { + out[0] = a[0] * b; + out[1] = a[1] * b; + out[2] = a[2] * b; + out[3] = a[3] * b; + out[4] = a[4] * b; + out[5] = a[5] * b; + return out; + } + /** + * Adds two mat2d's after multiplying each element of the second operand by a scalar value. + * + * @param {mat2d} out the receiving vector + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @param {Number} scale the amount to scale b's elements by before adding + * @returns {mat2d} out + */ + + function multiplyScalarAndAdd$1(out, a, b, scale) { + out[0] = a[0] + b[0] * scale; + out[1] = a[1] + b[1] * scale; + out[2] = a[2] + b[2] * scale; + out[3] = a[3] + b[3] * scale; + out[4] = a[4] + b[4] * scale; + out[5] = a[5] + b[5] * scale; + return out; + } + /** + * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===) + * + * @param {ReadonlyMat2d} a The first matrix. + * @param {ReadonlyMat2d} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + + function exactEquals$1(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3] && a[4] === b[4] && a[5] === b[5]; + } + /** + * Returns whether or not the matrices have approximately the same elements in the same position. + * + * @param {ReadonlyMat2d} a The first matrix. + * @param {ReadonlyMat2d} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + + function equals$2(a, b) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5]; + var b0 = b[0], + b1 = b[1], + b2 = b[2], + b3 = b[3], + b4 = b[4], + b5 = b[5]; + return Math.abs(a0 - b0) <= EPSILON * Math.max(1.0, Math.abs(a0), Math.abs(b0)) && Math.abs(a1 - b1) <= EPSILON * Math.max(1.0, Math.abs(a1), Math.abs(b1)) && Math.abs(a2 - b2) <= EPSILON * Math.max(1.0, Math.abs(a2), Math.abs(b2)) && Math.abs(a3 - b3) <= EPSILON * Math.max(1.0, Math.abs(a3), Math.abs(b3)) && Math.abs(a4 - b4) <= EPSILON * Math.max(1.0, Math.abs(a4), Math.abs(b4)) && Math.abs(a5 - b5) <= EPSILON * Math.max(1.0, Math.abs(a5), Math.abs(b5)); + } + /** + * Alias for {@link mat2d.multiply} + * @function + */ + + var mul$1 = multiply$1; + /** + * Alias for {@link mat2d.subtract} + * @function + */ + + var sub$1 = subtract$1; + + var mat2d = /*#__PURE__*/Object.freeze({ + __proto__: null, + create: create$1, + clone: clone$1, + copy: copy$1, + identity: identity$1, + fromValues: fromValues$1, + set: set$1, + invert: invert$1, + determinant: determinant$1, + multiply: multiply$1, + rotate: rotate$1, + scale: scale$1, + translate: translate, + fromRotation: fromRotation$1, + fromScaling: fromScaling$1, + fromTranslation: fromTranslation, + str: str$1, + frob: frob$1, + add: add$1, + subtract: subtract$1, + multiplyScalar: multiplyScalar$1, + multiplyScalarAndAdd: multiplyScalarAndAdd$1, + exactEquals: exactEquals$1, + equals: equals$2, + mul: mul$1, + sub: sub$1 + }); + + /** + * 3x3 Matrix + * @module mat3 + */ + + /** + * Creates a new identity mat3 + * + * @returns {mat3} a new 3x3 matrix + */ + + function create$2() { + var out = new ARRAY_TYPE(9); + + if (ARRAY_TYPE != Float32Array) { + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[5] = 0; + out[6] = 0; + out[7] = 0; + } + + out[0] = 1; + out[4] = 1; + out[8] = 1; + return out; + } + /** + * Copies the upper-left 3x3 values into the given mat3. + * + * @param {mat3} out the receiving 3x3 matrix + * @param {ReadonlyMat4} a the source 4x4 matrix + * @returns {mat3} out + */ + + function fromMat4(out, a) { + out[0] = a[0]; + out[1] = a[1]; + out[2] = a[2]; + out[3] = a[4]; + out[4] = a[5]; + out[5] = a[6]; + out[6] = a[8]; + out[7] = a[9]; + out[8] = a[10]; + return out; + } + /** + * Creates a new mat3 initialized with values from an existing matrix + * + * @param {ReadonlyMat3} a matrix to clone + * @returns {mat3} a new 3x3 matrix + */ + + function clone$2(a) { + var out = new ARRAY_TYPE(9); + out[0] = a[0]; + out[1] = a[1]; + out[2] = a[2]; + out[3] = a[3]; + out[4] = a[4]; + out[5] = a[5]; + out[6] = a[6]; + out[7] = a[7]; + out[8] = a[8]; + return out; + } + /** + * Copy the values from one mat3 to another + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + + function copy$2(out, a) { + out[0] = a[0]; + out[1] = a[1]; + out[2] = a[2]; + out[3] = a[3]; + out[4] = a[4]; + out[5] = a[5]; + out[6] = a[6]; + out[7] = a[7]; + out[8] = a[8]; + return out; + } + /** + * Create a new mat3 with the given values + * + * @param {Number} m00 Component in column 0, row 0 position (index 0) + * @param {Number} m01 Component in column 0, row 1 position (index 1) + * @param {Number} m02 Component in column 0, row 2 position (index 2) + * @param {Number} m10 Component in column 1, row 0 position (index 3) + * @param {Number} m11 Component in column 1, row 1 position (index 4) + * @param {Number} m12 Component in column 1, row 2 position (index 5) + * @param {Number} m20 Component in column 2, row 0 position (index 6) + * @param {Number} m21 Component in column 2, row 1 position (index 7) + * @param {Number} m22 Component in column 2, row 2 position (index 8) + * @returns {mat3} A new mat3 + */ + + function fromValues$2(m00, m01, m02, m10, m11, m12, m20, m21, m22) { + var out = new ARRAY_TYPE(9); + out[0] = m00; + out[1] = m01; + out[2] = m02; + out[3] = m10; + out[4] = m11; + out[5] = m12; + out[6] = m20; + out[7] = m21; + out[8] = m22; + return out; + } + /** + * Set the components of a mat3 to the given values + * + * @param {mat3} out the receiving matrix + * @param {Number} m00 Component in column 0, row 0 position (index 0) + * @param {Number} m01 Component in column 0, row 1 position (index 1) + * @param {Number} m02 Component in column 0, row 2 position (index 2) + * @param {Number} m10 Component in column 1, row 0 position (index 3) + * @param {Number} m11 Component in column 1, row 1 position (index 4) + * @param {Number} m12 Component in column 1, row 2 position (index 5) + * @param {Number} m20 Component in column 2, row 0 position (index 6) + * @param {Number} m21 Component in column 2, row 1 position (index 7) + * @param {Number} m22 Component in column 2, row 2 position (index 8) + * @returns {mat3} out + */ + + function set$2(out, m00, m01, m02, m10, m11, m12, m20, m21, m22) { + out[0] = m00; + out[1] = m01; + out[2] = m02; + out[3] = m10; + out[4] = m11; + out[5] = m12; + out[6] = m20; + out[7] = m21; + out[8] = m22; + return out; + } + /** + * Set a mat3 to the identity matrix + * + * @param {mat3} out the receiving matrix + * @returns {mat3} out + */ + + function identity$2(out) { + out[0] = 1; + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[4] = 1; + out[5] = 0; + out[6] = 0; + out[7] = 0; + out[8] = 1; + return out; + } + /** + * Transpose the values of a mat3 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + + function transpose$1(out, a) { + // If we are transposing ourselves we can skip a few steps but have to cache some values + if (out === a) { + var a01 = a[1], + a02 = a[2], + a12 = a[5]; + out[1] = a[3]; + out[2] = a[6]; + out[3] = a01; + out[5] = a[7]; + out[6] = a02; + out[7] = a12; + } else { + out[0] = a[0]; + out[1] = a[3]; + out[2] = a[6]; + out[3] = a[1]; + out[4] = a[4]; + out[5] = a[7]; + out[6] = a[2]; + out[7] = a[5]; + out[8] = a[8]; + } + + return out; + } + /** + * Inverts a mat3 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + + function invert$2(out, a) { + var a00 = a[0], + a01 = a[1], + a02 = a[2]; + var a10 = a[3], + a11 = a[4], + a12 = a[5]; + var a20 = a[6], + a21 = a[7], + a22 = a[8]; + var b01 = a22 * a11 - a12 * a21; + var b11 = -a22 * a10 + a12 * a20; + var b21 = a21 * a10 - a11 * a20; // Calculate the determinant + + var det = a00 * b01 + a01 * b11 + a02 * b21; + + if (!det) { + return null; + } + + det = 1.0 / det; + out[0] = b01 * det; + out[1] = (-a22 * a01 + a02 * a21) * det; + out[2] = (a12 * a01 - a02 * a11) * det; + out[3] = b11 * det; + out[4] = (a22 * a00 - a02 * a20) * det; + out[5] = (-a12 * a00 + a02 * a10) * det; + out[6] = b21 * det; + out[7] = (-a21 * a00 + a01 * a20) * det; + out[8] = (a11 * a00 - a01 * a10) * det; + return out; + } + /** + * Calculates the adjugate of a mat3 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + + function adjoint$1(out, a) { + var a00 = a[0], + a01 = a[1], + a02 = a[2]; + var a10 = a[3], + a11 = a[4], + a12 = a[5]; + var a20 = a[6], + a21 = a[7], + a22 = a[8]; + out[0] = a11 * a22 - a12 * a21; + out[1] = a02 * a21 - a01 * a22; + out[2] = a01 * a12 - a02 * a11; + out[3] = a12 * a20 - a10 * a22; + out[4] = a00 * a22 - a02 * a20; + out[5] = a02 * a10 - a00 * a12; + out[6] = a10 * a21 - a11 * a20; + out[7] = a01 * a20 - a00 * a21; + out[8] = a00 * a11 - a01 * a10; + return out; + } + /** + * Calculates the determinant of a mat3 + * + * @param {ReadonlyMat3} a the source matrix + * @returns {Number} determinant of a + */ + + function determinant$2(a) { + var a00 = a[0], + a01 = a[1], + a02 = a[2]; + var a10 = a[3], + a11 = a[4], + a12 = a[5]; + var a20 = a[6], + a21 = a[7], + a22 = a[8]; + return a00 * (a22 * a11 - a12 * a21) + a01 * (-a22 * a10 + a12 * a20) + a02 * (a21 * a10 - a11 * a20); + } + /** + * Multiplies two mat3's + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @returns {mat3} out + */ + + function multiply$2(out, a, b) { + var a00 = a[0], + a01 = a[1], + a02 = a[2]; + var a10 = a[3], + a11 = a[4], + a12 = a[5]; + var a20 = a[6], + a21 = a[7], + a22 = a[8]; + var b00 = b[0], + b01 = b[1], + b02 = b[2]; + var b10 = b[3], + b11 = b[4], + b12 = b[5]; + var b20 = b[6], + b21 = b[7], + b22 = b[8]; + out[0] = b00 * a00 + b01 * a10 + b02 * a20; + out[1] = b00 * a01 + b01 * a11 + b02 * a21; + out[2] = b00 * a02 + b01 * a12 + b02 * a22; + out[3] = b10 * a00 + b11 * a10 + b12 * a20; + out[4] = b10 * a01 + b11 * a11 + b12 * a21; + out[5] = b10 * a02 + b11 * a12 + b12 * a22; + out[6] = b20 * a00 + b21 * a10 + b22 * a20; + out[7] = b20 * a01 + b21 * a11 + b22 * a21; + out[8] = b20 * a02 + b21 * a12 + b22 * a22; + return out; + } + /** + * Translate a mat3 by the given vector + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the matrix to translate + * @param {ReadonlyVec2} v vector to translate by + * @returns {mat3} out + */ + + function translate$1(out, a, v) { + var a00 = a[0], + a01 = a[1], + a02 = a[2], + a10 = a[3], + a11 = a[4], + a12 = a[5], + a20 = a[6], + a21 = a[7], + a22 = a[8], + x = v[0], + y = v[1]; + out[0] = a00; + out[1] = a01; + out[2] = a02; + out[3] = a10; + out[4] = a11; + out[5] = a12; + out[6] = x * a00 + y * a10 + a20; + out[7] = x * a01 + y * a11 + a21; + out[8] = x * a02 + y * a12 + a22; + return out; + } + /** + * Rotates a mat3 by the given angle + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the matrix to rotate + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat3} out + */ + + function rotate$2(out, a, rad) { + var a00 = a[0], + a01 = a[1], + a02 = a[2], + a10 = a[3], + a11 = a[4], + a12 = a[5], + a20 = a[6], + a21 = a[7], + a22 = a[8], + s = Math.sin(rad), + c = Math.cos(rad); + out[0] = c * a00 + s * a10; + out[1] = c * a01 + s * a11; + out[2] = c * a02 + s * a12; + out[3] = c * a10 - s * a00; + out[4] = c * a11 - s * a01; + out[5] = c * a12 - s * a02; + out[6] = a20; + out[7] = a21; + out[8] = a22; + return out; + } + /** + * Scales the mat3 by the dimensions in the given vec2 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the matrix to rotate + * @param {ReadonlyVec2} v the vec2 to scale the matrix by + * @returns {mat3} out + **/ + + function scale$2(out, a, v) { + var x = v[0], + y = v[1]; + out[0] = x * a[0]; + out[1] = x * a[1]; + out[2] = x * a[2]; + out[3] = y * a[3]; + out[4] = y * a[4]; + out[5] = y * a[5]; + out[6] = a[6]; + out[7] = a[7]; + out[8] = a[8]; + return out; + } + /** + * Creates a matrix from a vector translation + * This is equivalent to (but much faster than): + * + * mat3.identity(dest); + * mat3.translate(dest, dest, vec); + * + * @param {mat3} out mat3 receiving operation result + * @param {ReadonlyVec2} v Translation vector + * @returns {mat3} out + */ + + function fromTranslation$1(out, v) { + out[0] = 1; + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[4] = 1; + out[5] = 0; + out[6] = v[0]; + out[7] = v[1]; + out[8] = 1; + return out; + } + /** + * Creates a matrix from a given angle + * This is equivalent to (but much faster than): + * + * mat3.identity(dest); + * mat3.rotate(dest, dest, rad); + * + * @param {mat3} out mat3 receiving operation result + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat3} out + */ + + function fromRotation$2(out, rad) { + var s = Math.sin(rad), + c = Math.cos(rad); + out[0] = c; + out[1] = s; + out[2] = 0; + out[3] = -s; + out[4] = c; + out[5] = 0; + out[6] = 0; + out[7] = 0; + out[8] = 1; + return out; + } + /** + * Creates a matrix from a vector scaling + * This is equivalent to (but much faster than): + * + * mat3.identity(dest); + * mat3.scale(dest, dest, vec); + * + * @param {mat3} out mat3 receiving operation result + * @param {ReadonlyVec2} v Scaling vector + * @returns {mat3} out + */ + + function fromScaling$2(out, v) { + out[0] = v[0]; + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[4] = v[1]; + out[5] = 0; + out[6] = 0; + out[7] = 0; + out[8] = 1; + return out; + } + /** + * Copies the values from a mat2d into a mat3 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to copy + * @returns {mat3} out + **/ + + function fromMat2d(out, a) { + out[0] = a[0]; + out[1] = a[1]; + out[2] = 0; + out[3] = a[2]; + out[4] = a[3]; + out[5] = 0; + out[6] = a[4]; + out[7] = a[5]; + out[8] = 1; + return out; + } + /** + * Calculates a 3x3 matrix from the given quaternion + * + * @param {mat3} out mat3 receiving operation result + * @param {ReadonlyQuat} q Quaternion to create matrix from + * + * @returns {mat3} out + */ + + function fromQuat(out, q) { + var x = q[0], + y = q[1], + z = q[2], + w = q[3]; + var x2 = x + x; + var y2 = y + y; + var z2 = z + z; + var xx = x * x2; + var yx = y * x2; + var yy = y * y2; + var zx = z * x2; + var zy = z * y2; + var zz = z * z2; + var wx = w * x2; + var wy = w * y2; + var wz = w * z2; + out[0] = 1 - yy - zz; + out[3] = yx - wz; + out[6] = zx + wy; + out[1] = yx + wz; + out[4] = 1 - xx - zz; + out[7] = zy - wx; + out[2] = zx - wy; + out[5] = zy + wx; + out[8] = 1 - xx - yy; + return out; + } + /** + * Calculates a 3x3 normal matrix (transpose inverse) from the 4x4 matrix + * + * @param {mat3} out mat3 receiving operation result + * @param {ReadonlyMat4} a Mat4 to derive the normal matrix from + * + * @returns {mat3} out + */ + + function normalFromMat4(out, a) { + var a00 = a[0], + a01 = a[1], + a02 = a[2], + a03 = a[3]; + var a10 = a[4], + a11 = a[5], + a12 = a[6], + a13 = a[7]; + var a20 = a[8], + a21 = a[9], + a22 = a[10], + a23 = a[11]; + var a30 = a[12], + a31 = a[13], + a32 = a[14], + a33 = a[15]; + var b00 = a00 * a11 - a01 * a10; + var b01 = a00 * a12 - a02 * a10; + var b02 = a00 * a13 - a03 * a10; + var b03 = a01 * a12 - a02 * a11; + var b04 = a01 * a13 - a03 * a11; + var b05 = a02 * a13 - a03 * a12; + var b06 = a20 * a31 - a21 * a30; + var b07 = a20 * a32 - a22 * a30; + var b08 = a20 * a33 - a23 * a30; + var b09 = a21 * a32 - a22 * a31; + var b10 = a21 * a33 - a23 * a31; + var b11 = a22 * a33 - a23 * a32; // Calculate the determinant + + var det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06; + + if (!det) { + return null; + } + + det = 1.0 / det; + out[0] = (a11 * b11 - a12 * b10 + a13 * b09) * det; + out[1] = (a12 * b08 - a10 * b11 - a13 * b07) * det; + out[2] = (a10 * b10 - a11 * b08 + a13 * b06) * det; + out[3] = (a02 * b10 - a01 * b11 - a03 * b09) * det; + out[4] = (a00 * b11 - a02 * b08 + a03 * b07) * det; + out[5] = (a01 * b08 - a00 * b10 - a03 * b06) * det; + out[6] = (a31 * b05 - a32 * b04 + a33 * b03) * det; + out[7] = (a32 * b02 - a30 * b05 - a33 * b01) * det; + out[8] = (a30 * b04 - a31 * b02 + a33 * b00) * det; + return out; + } + /** + * Generates a 2D projection matrix with the given bounds + * + * @param {mat3} out mat3 frustum matrix will be written into + * @param {number} width Width of your gl context + * @param {number} height Height of gl context + * @returns {mat3} out + */ + + function projection(out, width, height) { + out[0] = 2 / width; + out[1] = 0; + out[2] = 0; + out[3] = 0; + out[4] = -2 / height; + out[5] = 0; + out[6] = -1; + out[7] = 1; + out[8] = 1; + return out; + } + /** + * Returns a string representation of a mat3 + * + * @param {ReadonlyMat3} a matrix to represent as a string + * @returns {String} string representation of the matrix + */ + + function str$2(a) { + return "mat3(" + a[0] + ", " + a[1] + ", " + a[2] + ", " + a[3] + ", " + a[4] + ", " + a[5] + ", " + a[6] + ", " + a[7] + ", " + a[8] + ")"; + } + /** + * Returns Frobenius norm of a mat3 + * + * @param {ReadonlyMat3} a the matrix to calculate Frobenius norm of + * @returns {Number} Frobenius norm + */ + + function frob$2(a) { + return Math.hypot(a[0], a[1], a[2], a[3], a[4], a[5], a[6], a[7], a[8]); + } + /** + * Adds two mat3's + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @returns {mat3} out + */ + + function add$2(out, a, b) { + out[0] = a[0] + b[0]; + out[1] = a[1] + b[1]; + out[2] = a[2] + b[2]; + out[3] = a[3] + b[3]; + out[4] = a[4] + b[4]; + out[5] = a[5] + b[5]; + out[6] = a[6] + b[6]; + out[7] = a[7] + b[7]; + out[8] = a[8] + b[8]; + return out; + } + /** + * Subtracts matrix b from matrix a + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @returns {mat3} out + */ + + function subtract$2(out, a, b) { + out[0] = a[0] - b[0]; + out[1] = a[1] - b[1]; + out[2] = a[2] - b[2]; + out[3] = a[3] - b[3]; + out[4] = a[4] - b[4]; + out[5] = a[5] - b[5]; + out[6] = a[6] - b[6]; + out[7] = a[7] - b[7]; + out[8] = a[8] - b[8]; + return out; + } + /** + * Multiply each element of the matrix by a scalar. + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the matrix to scale + * @param {Number} b amount to scale the matrix's elements by + * @returns {mat3} out + */ + + function multiplyScalar$2(out, a, b) { + out[0] = a[0] * b; + out[1] = a[1] * b; + out[2] = a[2] * b; + out[3] = a[3] * b; + out[4] = a[4] * b; + out[5] = a[5] * b; + out[6] = a[6] * b; + out[7] = a[7] * b; + out[8] = a[8] * b; + return out; + } + /** + * Adds two mat3's after multiplying each element of the second operand by a scalar value. + * + * @param {mat3} out the receiving vector + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @param {Number} scale the amount to scale b's elements by before adding + * @returns {mat3} out + */ + + function multiplyScalarAndAdd$2(out, a, b, scale) { + out[0] = a[0] + b[0] * scale; + out[1] = a[1] + b[1] * scale; + out[2] = a[2] + b[2] * scale; + out[3] = a[3] + b[3] * scale; + out[4] = a[4] + b[4] * scale; + out[5] = a[5] + b[5] * scale; + out[6] = a[6] + b[6] * scale; + out[7] = a[7] + b[7] * scale; + out[8] = a[8] + b[8] * scale; + return out; + } + /** + * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===) + * + * @param {ReadonlyMat3} a The first matrix. + * @param {ReadonlyMat3} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + + function exactEquals$2(a, b) { + return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3] && a[4] === b[4] && a[5] === b[5] && a[6] === b[6] && a[7] === b[7] && a[8] === b[8]; + } + /** + * Returns whether or not the matrices have approximately the same elements in the same position. + * + * @param {ReadonlyMat3} a The first matrix. + * @param {ReadonlyMat3} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + + function equals$3(a, b) { + var a0 = a[0], + a1 = a[1], + a2 = a[2], + a3 = a[3], + a4 = a[4], + a5 = a[5], + a6 = a[6], + a7 = a[7], + a8 = a[8]; + var b0 = b[0], + b1 = b[1], + b2 = b[2], + b3 = b[3], + b4 = b[4], + b5 = b[5], + b6 = b[6], + b7 = b[7], + b8 = b[8]; + return Math.abs(a0 - b0) <= EPSILON * Math.max(1.0, Math.abs(a0), Math.abs(b0)) && Math.abs(a1 - b1) <= EPSILON * Math.max(1.0, Math.abs(a1), Math.abs(b1)) && Math.abs(a2 - b2) <= EPSILON * Math.max(1.0, Math.abs(a2), Math.abs(b2)) && Math.abs(a3 - b3) <= EPSILON * Math.max(1.0, Math.abs(a3), Math.abs(b3)) && Math.abs(a4 - b4) <= EPSILON * Math.max(1.0, Math.abs(a4), Math.abs(b4)) && Math.abs(a5 - b5) <= EPSILON * Math.max(1.0, Math.abs(a5), Math.abs(b5)) && Math.abs(a6 - b6) <= EPSILON * Math.max(1.0, Math.abs(a6), Math.abs(b6)) && Math.abs(a7 - b7) <= EPSILON * Math.max(1.0, Math.abs(a7), Math.abs(b7)) && Math.abs(a8 - b8) <= EPSILON * Math.max(1.0, Math.abs(a8), Math.abs(b8)); + } + /** + * Alias for {@link mat3.multiply} + * @function + */ + + var mul$2 = multiply$2; + /** + * Alias for {@link mat3.subtract} + * @function + */ + + var sub$2 = subtract$2; + + var mat3 = /*#__PURE__*/Object.freeze({ + __proto__: null, + create: create$2, + fromMat4: fromMat4, + clone: clone$2, + copy: copy$2, + fromValues: fromValues$2, + set: set$2, + identity: identity$2, + transpose: transpose$1, + invert: invert$2, + adjoint: adjoint$1, + determinant: determinant$2, + multiply: multiply$2, + translate: translate$1, + rotate: rotate$2, + scale: scale$2, + fromTranslation: fromTranslation$1, + fromRotation: fromRotation$2, + fromScaling: fromScaling$2, + fromMat2d: fromMat2d, + fromQuat: fromQuat, + normalFromMat4: normalFromMat4, + projection: projection, + str: str$2, + frob: frob$2, + add: add$2, + subtract: subtract$2, + multiplyScalar: multiplyScalar$2, + multiplyScalarAndAdd: multiplyScalarAndAdd$2, + exactEquals: exactEquals$2, + equals: equals$3, + mul: mul$2, + sub: sub$2 + }); + + /** + * 4x4 Matrix
+ * [a, b, + * c, d, + * tx, ty] + *+ * This is a short form for the 3x3 matrix: + *
+ * [a, b, 0, + * c, d, 0, + * tx, ty, 1] + *+ * The last column is ignored so the array is shorter and operations are faster. + */ + /** + * Creates a new identity mat2d + * + * @returns {mat2d} a new 2x3 matrix + */ + export function create(): mat2d; + /** + * Creates a new mat2d initialized with values from an existing matrix + * + * @param {ReadonlyMat2d} a matrix to clone + * @returns {mat2d} a new 2x3 matrix + */ + export function clone(a: ReadonlyMat2d): mat2d; + /** + * Copy the values from one mat2d to another + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the source matrix + * @returns {mat2d} out + */ + export function copy(out: mat2d, a: ReadonlyMat2d): mat2d; + /** + * Set a mat2d to the identity matrix + * + * @param {mat2d} out the receiving matrix + * @returns {mat2d} out + */ + export function identity(out: mat2d): mat2d; + /** + * Create a new mat2d with the given values + * + * @param {Number} a Component A (index 0) + * @param {Number} b Component B (index 1) + * @param {Number} c Component C (index 2) + * @param {Number} d Component D (index 3) + * @param {Number} tx Component TX (index 4) + * @param {Number} ty Component TY (index 5) + * @returns {mat2d} A new mat2d + */ + export function fromValues(a: number, b: number, c: number, d: number, tx: number, ty: number): mat2d; + /** + * Set the components of a mat2d to the given values + * + * @param {mat2d} out the receiving matrix + * @param {Number} a Component A (index 0) + * @param {Number} b Component B (index 1) + * @param {Number} c Component C (index 2) + * @param {Number} d Component D (index 3) + * @param {Number} tx Component TX (index 4) + * @param {Number} ty Component TY (index 5) + * @returns {mat2d} out + */ + export function set(out: mat2d, a: number, b: number, c: number, d: number, tx: number, ty: number): mat2d; + /** + * Inverts a mat2d + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the source matrix + * @returns {mat2d} out + */ + export function invert(out: mat2d, a: ReadonlyMat2d): mat2d; + /** + * Calculates the determinant of a mat2d + * + * @param {ReadonlyMat2d} a the source matrix + * @returns {Number} determinant of a + */ + export function determinant(a: ReadonlyMat2d): number; + /** + * Multiplies two mat2d's + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @returns {mat2d} out + */ + export function multiply(out: mat2d, a: ReadonlyMat2d, b: ReadonlyMat2d): mat2d; + /** + * Rotates a mat2d by the given angle + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to rotate + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat2d} out + */ + export function rotate(out: mat2d, a: ReadonlyMat2d, rad: number): mat2d; + /** + * Scales the mat2d by the dimensions in the given vec2 + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to translate + * @param {ReadonlyVec2} v the vec2 to scale the matrix by + * @returns {mat2d} out + **/ + export function scale(out: mat2d, a: ReadonlyMat2d, v: ReadonlyVec2): mat2d; + /** + * Translates the mat2d by the dimensions in the given vec2 + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to translate + * @param {ReadonlyVec2} v the vec2 to translate the matrix by + * @returns {mat2d} out + **/ + export function translate(out: mat2d, a: ReadonlyMat2d, v: ReadonlyVec2): mat2d; + /** + * Creates a matrix from a given angle + * This is equivalent to (but much faster than): + * + * mat2d.identity(dest); + * mat2d.rotate(dest, dest, rad); + * + * @param {mat2d} out mat2d receiving operation result + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat2d} out + */ + export function fromRotation(out: mat2d, rad: number): mat2d; + /** + * Creates a matrix from a vector scaling + * This is equivalent to (but much faster than): + * + * mat2d.identity(dest); + * mat2d.scale(dest, dest, vec); + * + * @param {mat2d} out mat2d receiving operation result + * @param {ReadonlyVec2} v Scaling vector + * @returns {mat2d} out + */ + export function fromScaling(out: mat2d, v: ReadonlyVec2): mat2d; + /** + * Creates a matrix from a vector translation + * This is equivalent to (but much faster than): + * + * mat2d.identity(dest); + * mat2d.translate(dest, dest, vec); + * + * @param {mat2d} out mat2d receiving operation result + * @param {ReadonlyVec2} v Translation vector + * @returns {mat2d} out + */ + export function fromTranslation(out: mat2d, v: ReadonlyVec2): mat2d; + /** + * Returns a string representation of a mat2d + * + * @param {ReadonlyMat2d} a matrix to represent as a string + * @returns {String} string representation of the matrix + */ + export function str(a: ReadonlyMat2d): string; + /** + * Returns Frobenius norm of a mat2d + * + * @param {ReadonlyMat2d} a the matrix to calculate Frobenius norm of + * @returns {Number} Frobenius norm + */ + export function frob(a: ReadonlyMat2d): number; + /** + * Adds two mat2d's + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @returns {mat2d} out + */ + export function add(out: mat2d, a: ReadonlyMat2d, b: ReadonlyMat2d): mat2d; + /** + * Subtracts matrix b from matrix a + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @returns {mat2d} out + */ + export function subtract(out: mat2d, a: ReadonlyMat2d, b: ReadonlyMat2d): mat2d; + /** + * Multiply each element of the matrix by a scalar. + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to scale + * @param {Number} b amount to scale the matrix's elements by + * @returns {mat2d} out + */ + export function multiplyScalar(out: mat2d, a: ReadonlyMat2d, b: number): mat2d; + /** + * Adds two mat2d's after multiplying each element of the second operand by a scalar value. + * + * @param {mat2d} out the receiving vector + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @param {Number} scale the amount to scale b's elements by before adding + * @returns {mat2d} out + */ + export function multiplyScalarAndAdd(out: mat2d, a: ReadonlyMat2d, b: ReadonlyMat2d, scale: number): mat2d; + /** + * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===) + * + * @param {ReadonlyMat2d} a The first matrix. + * @param {ReadonlyMat2d} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + export function exactEquals(a: ReadonlyMat2d, b: ReadonlyMat2d): boolean; + /** + * Returns whether or not the matrices have approximately the same elements in the same position. + * + * @param {ReadonlyMat2d} a The first matrix. + * @param {ReadonlyMat2d} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + export function equals(a: ReadonlyMat2d, b: ReadonlyMat2d): boolean; + /** + * Multiplies two mat2d's + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @returns {mat2d} out + */ + export function mul(out: mat2d, a: ReadonlyMat2d, b: ReadonlyMat2d): mat2d; + /** + * Subtracts matrix b from matrix a + * + * @param {mat2d} out the receiving matrix + * @param {ReadonlyMat2d} a the first operand + * @param {ReadonlyMat2d} b the second operand + * @returns {mat2d} out + */ + export function sub(out: mat2d, a: ReadonlyMat2d, b: ReadonlyMat2d): mat2d; +} +export module mat3 { + /** + * 3x3 Matrix + * @module mat3 + */ + /** + * Creates a new identity mat3 + * + * @returns {mat3} a new 3x3 matrix + */ + export function create(): mat3; + /** + * Copies the upper-left 3x3 values into the given mat3. + * + * @param {mat3} out the receiving 3x3 matrix + * @param {ReadonlyMat4} a the source 4x4 matrix + * @returns {mat3} out + */ + export function fromMat4(out: mat3, a: ReadonlyMat4): mat3; + /** + * Creates a new mat3 initialized with values from an existing matrix + * + * @param {ReadonlyMat3} a matrix to clone + * @returns {mat3} a new 3x3 matrix + */ + export function clone(a: ReadonlyMat3): mat3; + /** + * Copy the values from one mat3 to another + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + export function copy(out: mat3, a: ReadonlyMat3): mat3; + /** + * Create a new mat3 with the given values + * + * @param {Number} m00 Component in column 0, row 0 position (index 0) + * @param {Number} m01 Component in column 0, row 1 position (index 1) + * @param {Number} m02 Component in column 0, row 2 position (index 2) + * @param {Number} m10 Component in column 1, row 0 position (index 3) + * @param {Number} m11 Component in column 1, row 1 position (index 4) + * @param {Number} m12 Component in column 1, row 2 position (index 5) + * @param {Number} m20 Component in column 2, row 0 position (index 6) + * @param {Number} m21 Component in column 2, row 1 position (index 7) + * @param {Number} m22 Component in column 2, row 2 position (index 8) + * @returns {mat3} A new mat3 + */ + export function fromValues(m00: number, m01: number, m02: number, m10: number, m11: number, m12: number, m20: number, m21: number, m22: number): mat3; + /** + * Set the components of a mat3 to the given values + * + * @param {mat3} out the receiving matrix + * @param {Number} m00 Component in column 0, row 0 position (index 0) + * @param {Number} m01 Component in column 0, row 1 position (index 1) + * @param {Number} m02 Component in column 0, row 2 position (index 2) + * @param {Number} m10 Component in column 1, row 0 position (index 3) + * @param {Number} m11 Component in column 1, row 1 position (index 4) + * @param {Number} m12 Component in column 1, row 2 position (index 5) + * @param {Number} m20 Component in column 2, row 0 position (index 6) + * @param {Number} m21 Component in column 2, row 1 position (index 7) + * @param {Number} m22 Component in column 2, row 2 position (index 8) + * @returns {mat3} out + */ + export function set(out: mat3, m00: number, m01: number, m02: number, m10: number, m11: number, m12: number, m20: number, m21: number, m22: number): mat3; + /** + * Set a mat3 to the identity matrix + * + * @param {mat3} out the receiving matrix + * @returns {mat3} out + */ + export function identity(out: mat3): mat3; + /** + * Transpose the values of a mat3 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + export function transpose(out: mat3, a: ReadonlyMat3): mat3; + /** + * Inverts a mat3 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + export function invert(out: mat3, a: ReadonlyMat3): mat3; + /** + * Calculates the adjugate of a mat3 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the source matrix + * @returns {mat3} out + */ + export function adjoint(out: mat3, a: ReadonlyMat3): mat3; + /** + * Calculates the determinant of a mat3 + * + * @param {ReadonlyMat3} a the source matrix + * @returns {Number} determinant of a + */ + export function determinant(a: ReadonlyMat3): number; + /** + * Multiplies two mat3's + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @returns {mat3} out + */ + export function multiply(out: mat3, a: ReadonlyMat3, b: ReadonlyMat3): mat3; + /** + * Translate a mat3 by the given vector + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the matrix to translate + * @param {ReadonlyVec2} v vector to translate by + * @returns {mat3} out + */ + export function translate(out: mat3, a: ReadonlyMat3, v: ReadonlyVec2): mat3; + /** + * Rotates a mat3 by the given angle + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the matrix to rotate + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat3} out + */ + export function rotate(out: mat3, a: ReadonlyMat3, rad: number): mat3; + /** + * Scales the mat3 by the dimensions in the given vec2 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the matrix to rotate + * @param {ReadonlyVec2} v the vec2 to scale the matrix by + * @returns {mat3} out + **/ + export function scale(out: mat3, a: ReadonlyMat3, v: ReadonlyVec2): mat3; + /** + * Creates a matrix from a vector translation + * This is equivalent to (but much faster than): + * + * mat3.identity(dest); + * mat3.translate(dest, dest, vec); + * + * @param {mat3} out mat3 receiving operation result + * @param {ReadonlyVec2} v Translation vector + * @returns {mat3} out + */ + export function fromTranslation(out: mat3, v: ReadonlyVec2): mat3; + /** + * Creates a matrix from a given angle + * This is equivalent to (but much faster than): + * + * mat3.identity(dest); + * mat3.rotate(dest, dest, rad); + * + * @param {mat3} out mat3 receiving operation result + * @param {Number} rad the angle to rotate the matrix by + * @returns {mat3} out + */ + export function fromRotation(out: mat3, rad: number): mat3; + /** + * Creates a matrix from a vector scaling + * This is equivalent to (but much faster than): + * + * mat3.identity(dest); + * mat3.scale(dest, dest, vec); + * + * @param {mat3} out mat3 receiving operation result + * @param {ReadonlyVec2} v Scaling vector + * @returns {mat3} out + */ + export function fromScaling(out: mat3, v: ReadonlyVec2): mat3; + /** + * Copies the values from a mat2d into a mat3 + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat2d} a the matrix to copy + * @returns {mat3} out + **/ + export function fromMat2d(out: mat3, a: ReadonlyMat2d): mat3; + /** + * Calculates a 3x3 matrix from the given quaternion + * + * @param {mat3} out mat3 receiving operation result + * @param {ReadonlyQuat} q Quaternion to create matrix from + * + * @returns {mat3} out + */ + export function fromQuat(out: mat3, q: ReadonlyQuat): mat3; + /** + * Calculates a 3x3 normal matrix (transpose inverse) from the 4x4 matrix + * + * @param {mat3} out mat3 receiving operation result + * @param {ReadonlyMat4} a Mat4 to derive the normal matrix from + * + * @returns {mat3} out + */ + export function normalFromMat4(out: mat3, a: ReadonlyMat4): mat3; + /** + * Generates a 2D projection matrix with the given bounds + * + * @param {mat3} out mat3 frustum matrix will be written into + * @param {number} width Width of your gl context + * @param {number} height Height of gl context + * @returns {mat3} out + */ + export function projection(out: mat3, width: number, height: number): mat3; + /** + * Returns a string representation of a mat3 + * + * @param {ReadonlyMat3} a matrix to represent as a string + * @returns {String} string representation of the matrix + */ + export function str(a: ReadonlyMat3): string; + /** + * Returns Frobenius norm of a mat3 + * + * @param {ReadonlyMat3} a the matrix to calculate Frobenius norm of + * @returns {Number} Frobenius norm + */ + export function frob(a: ReadonlyMat3): number; + /** + * Adds two mat3's + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @returns {mat3} out + */ + export function add(out: mat3, a: ReadonlyMat3, b: ReadonlyMat3): mat3; + /** + * Subtracts matrix b from matrix a + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @returns {mat3} out + */ + export function subtract(out: mat3, a: ReadonlyMat3, b: ReadonlyMat3): mat3; + /** + * Multiply each element of the matrix by a scalar. + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the matrix to scale + * @param {Number} b amount to scale the matrix's elements by + * @returns {mat3} out + */ + export function multiplyScalar(out: mat3, a: ReadonlyMat3, b: number): mat3; + /** + * Adds two mat3's after multiplying each element of the second operand by a scalar value. + * + * @param {mat3} out the receiving vector + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @param {Number} scale the amount to scale b's elements by before adding + * @returns {mat3} out + */ + export function multiplyScalarAndAdd(out: mat3, a: ReadonlyMat3, b: ReadonlyMat3, scale: number): mat3; + /** + * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===) + * + * @param {ReadonlyMat3} a The first matrix. + * @param {ReadonlyMat3} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + export function exactEquals(a: ReadonlyMat3, b: ReadonlyMat3): boolean; + /** + * Returns whether or not the matrices have approximately the same elements in the same position. + * + * @param {ReadonlyMat3} a The first matrix. + * @param {ReadonlyMat3} b The second matrix. + * @returns {Boolean} True if the matrices are equal, false otherwise. + */ + export function equals(a: ReadonlyMat3, b: ReadonlyMat3): boolean; + /** + * Multiplies two mat3's + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @returns {mat3} out + */ + export function mul(out: mat3, a: ReadonlyMat3, b: ReadonlyMat3): mat3; + /** + * Subtracts matrix b from matrix a + * + * @param {mat3} out the receiving matrix + * @param {ReadonlyMat3} a the first operand + * @param {ReadonlyMat3} b the second operand + * @returns {mat3} out + */ + export function sub(out: mat3, a: ReadonlyMat3, b: ReadonlyMat3): mat3; +} +export module mat4 { + /** + * 4x4 Matrix
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