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"source": "import * as glMatrix from \"./common.js\";\n/**\n * 3 Dimensional Vector\n * @module vec3\n */\n\n/**\n * Creates a new, empty vec3\n *\n * @returns {vec3} a new 3D vector\n */\n\nexport function create() {\n var out = new glMatrix.ARRAY_TYPE(3);\n if (glMatrix.ARRAY_TYPE != Float32Array) {\n out[0] = 0;\n out[1] = 0;\n out[2] = 0;\n }\n return out;\n}\n/**\n * Creates a new vec3 initialized with values from an existing vector\n *\n * @param {ReadonlyVec3} a vector to clone\n * @returns {vec3} a new 3D vector\n */\n\nexport function clone(a) {\n var out = new glMatrix.ARRAY_TYPE(3);\n out[0] = a[0];\n out[1] = a[1];\n out[2] = a[2];\n return out;\n}\n/**\n * Calculates the length of a vec3\n *\n * @param {ReadonlyVec3} a vector to calculate length of\n * @returns {Number} length of a\n */\n\nexport function length(a) {\n var x = a[0];\n var y = a[1];\n var z = a[2];\n return Math.hypot(x, y, z);\n}\n/**\n * Creates a new vec3 initialized with the given values\n *\n * @param {Number} x X component\n * @param {Number} y Y component\n * @param {Number} z Z component\n * @returns {vec3} a new 3D vector\n */\n\nexport function fromValues(x, y, z) {\n var out = new glMatrix.ARRAY_TYPE(3);\n out[0] = x;\n out[1] = y;\n out[2] = z;\n return out;\n}\n/**\n * Copy the values from one vec3 to another\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a the source vector\n * @returns {vec3} out\n */\n\nexport function copy(out, a) {\n out[0] = a[0];\n out[1] = a[1];\n out[2] = a[2];\n return out;\n}\n/**\n * Set the components of a vec3 to the given values\n *\n * @param {vec3} out the receiving vector\n * @param {Number} x X component\n * @param {Number} y Y component\n * @param {Number} z Z component\n * @returns {vec3} out\n */\n\nexport function set(out, x, y, z) {\n out[0] = x;\n out[1] = y;\n out[2] = z;\n return out;\n}\n/**\n * Adds two vec3's\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a the first operand\n * @param {ReadonlyVec3} b the second operand\n * @returns {vec3} out\n */\n\nexport function add(out, a, b) {\n out[0] = a[0] + b[0];\n out[1] = a[1] + b[1];\n out[2] = a[2] + b[2];\n return out;\n}\n/**\n * Subtracts vector b from vector a\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a the first operand\n * @param {ReadonlyVec3} b the second operand\n * @returns {vec3} out\n */\n\nexport function subtract(out, a, b) {\n out[0] = a[0] - b[0];\n out[1] = a[1] - b[1];\n out[2] = a[2] - b[2];\n return out;\n}\n/**\n * Multiplies two vec3's\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a the first operand\n * @param {ReadonlyVec3} b the second operand\n * @returns {vec3} out\n */\n\nexport function multiply(out, a, b) {\n out[0] = a[0] * b[0];\n out[1] = a[1] * b[1];\n out[2] = a[2] * b[2];\n return out;\n}\n/**\n * Divides two vec3's\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a the first operand\n * @param {ReadonlyVec3} b the second operand\n * @returns {vec3} out\n */\n\nexport function divide(out, a, b) {\n out[0] = a[0] / b[0];\n out[1] = a[1] / b[1];\n out[2] = a[2] / b[2];\n return out;\n}\n/**\n * Math.ceil the components of a vec3\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a vector to ceil\n * @returns {vec3} out\n */\n\nexport function ceil(out, a) {\n out[0] = Math.ceil(a[0]);\n out[1] = Math.ceil(a[1]);\n out[2] = Math.ceil(a[2]);\n return out;\n}\n/**\n * Math.floor the components of a vec3\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a vector to floor\n * @returns {vec3} out\n */\n\nexport function floor(out, a) {\n out[0] = Math.floor(a[0]);\n out[1] = Math.floor(a[1]);\n out[2] = Math.floor(a[2]);\n return out;\n}\n/**\n * Returns the minimum of two vec3's\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a the first operand\n * @param {ReadonlyVec3} b the second operand\n * @returns {vec3} out\n */\n\nexport function min(out, a, b) {\n out[0] = Math.min(a[0], b[0]);\n out[1] = Math.min(a[1], b[1]);\n out[2] = Math.min(a[2], b[2]);\n return out;\n}\n/**\n * Returns the maximum of two vec3's\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a the first operand\n * @param {ReadonlyVec3} b the second operand\n * @returns {vec3} out\n */\n\nexport function max(out, a, b) {\n out[0] = Math.max(a[0], b[0]);\n out[1] = Math.max(a[1], b[1]);\n out[2] = Math.max(a[2], b[2]);\n return out;\n}\n/**\n * Math.round the components of a vec3\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a vector to round\n * @returns {vec3} out\n */\n\nexport function round(out, a) {\n out[0] = Math.round(a[0]);\n out[1] = Math.round(a[1]);\n out[2] = Math.round(a[2]);\n return out;\n}\n/**\n * Scales a vec3 by a scalar number\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a the vector to scale\n * @param {Number} b amount to scale the vector by\n * @returns {vec3} out\n */\n\nexport function scale(out, a, b) {\n out[0] = a[0] * b;\n out[1] = a[1] * b;\n out[2] = a[2] * b;\n return out;\n}\n/**\n * Adds two vec3's after scaling the second operand by a scalar value\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a the first operand\n * @param {ReadonlyVec3} b the second operand\n * @param {Number} scale the amount to scale b by before adding\n * @returns {vec3} out\n */\n\nexport function scaleAndAdd(out, a, b, scale) {\n out[0] = a[0] + b[0] * scale;\n out[1] = a[1] + b[1] * scale;\n out[2] = a[2] + b[2] * scale;\n return out;\n}\n/**\n * Calculates the euclidian distance between two vec3's\n *\n * @param {ReadonlyVec3} a the first operand\n * @param {ReadonlyVec3} b the second operand\n * @returns {Number} distance between a and b\n */\n\nexport function distance(a, b) {\n var x = b[0] - a[0];\n var y = b[1] - a[1];\n var z = b[2] - a[2];\n return Math.hypot(x, y, z);\n}\n/**\n * Calculates the squared euclidian distance between two vec3's\n *\n * @param {ReadonlyVec3} a the first operand\n * @param {ReadonlyVec3} b the second operand\n * @returns {Number} squared distance between a and b\n */\n\nexport function squaredDistance(a, b) {\n var x = b[0] - a[0];\n var y = b[1] - a[1];\n var z = b[2] - a[2];\n return x * x + y * y + z * z;\n}\n/**\n * Calculates the squared length of a vec3\n *\n * @param {ReadonlyVec3} a vector to calculate squared length of\n * @returns {Number} squared length of a\n */\n\nexport function squaredLength(a) {\n var x = a[0];\n var y = a[1];\n var z = a[2];\n return x * x + y * y + z * z;\n}\n/**\n * Negates the components of a vec3\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a vector to negate\n * @returns {vec3} out\n */\n\nexport function negate(out, a) {\n out[0] = -a[0];\n out[1] = -a[1];\n out[2] = -a[2];\n return out;\n}\n/**\n * Returns the inverse of the components of a vec3\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a vector to invert\n * @returns {vec3} out\n */\n\nexport function inverse(out, a) {\n out[0] = 1.0 / a[0];\n out[1] = 1.0 / a[1];\n out[2] = 1.0 / a[2];\n return out;\n}\n/**\n * Normalize a vec3\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a vector to normalize\n * @returns {vec3} out\n */\n\nexport function normalize(out, a) {\n var x = a[0];\n var y = a[1];\n var z = a[2];\n var len = x * x + y * y + z * z;\n if (len > 0) {\n //TODO: evaluate use of glm_invsqrt here?\n len = 1 / Math.sqrt(len);\n }\n out[0] = a[0] * len;\n out[1] = a[1] * len;\n out[2] = a[2] * len;\n return out;\n}\n/**\n * Calculates the dot product of two vec3's\n *\n * @param {ReadonlyVec3} a the first operand\n * @param {ReadonlyVec3} b the second operand\n * @returns {Number} dot product of a and b\n */\n\nexport function dot(a, b) {\n return a[0] * b[0] + a[1] * b[1] + a[2] * b[2];\n}\n/**\n * Computes the cross product of two vec3's\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a the first operand\n * @param {ReadonlyVec3} b the second operand\n * @returns {vec3} out\n */\n\nexport function cross(out, a, b) {\n var ax = a[0],\n ay = a[1],\n az = a[2];\n var bx = b[0],\n by = b[1],\n bz = b[2];\n out[0] = ay * bz - az * by;\n out[1] = az * bx - ax * bz;\n out[2] = ax * by - ay * bx;\n return out;\n}\n/**\n * Performs a linear interpolation between two vec3's\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a the first operand\n * @param {ReadonlyVec3} b the second operand\n * @param {Number} t interpolation amount, in the range [0-1], between the two inputs\n * @returns {vec3} out\n */\n\nexport function lerp(out, a, b, t) {\n var ax = a[0];\n var ay = a[1];\n var az = a[2];\n out[0] = ax + t * (b[0] - ax);\n out[1] = ay + t * (b[1] - ay);\n out[2] = az + t * (b[2] - az);\n return out;\n}\n/**\n * Performs a hermite interpolation with two control points\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a the first operand\n * @param {ReadonlyVec3} b the second operand\n * @param {ReadonlyVec3} c the third operand\n * @param {ReadonlyVec3} d the fourth operand\n * @param {Number} t interpolation amount, in the range [0-1], between the two inputs\n * @returns {vec3} out\n */\n\nexport function hermite(out, a, b, c, d, t) {\n var factorTimes2 = t * t;\n var factor1 = factorTimes2 * (2 * t - 3) + 1;\n var factor2 = factorTimes2 * (t - 2) + t;\n var factor3 = factorTimes2 * (t - 1);\n var factor4 = factorTimes2 * (3 - 2 * t);\n out[0] = a[0] * factor1 + b[0] * factor2 + c[0] * factor3 + d[0] * factor4;\n out[1] = a[1] * factor1 + b[1] * factor2 + c[1] * factor3 + d[1] * factor4;\n out[2] = a[2] * factor1 + b[2] * factor2 + c[2] * factor3 + d[2] * factor4;\n return out;\n}\n/**\n * Performs a bezier interpolation with two control points\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a the first operand\n * @param {ReadonlyVec3} b the second operand\n * @param {ReadonlyVec3} c the third operand\n * @param {ReadonlyVec3} d the fourth operand\n * @param {Number} t interpolation amount, in the range [0-1], between the two inputs\n * @returns {vec3} out\n */\n\nexport function bezier(out, a, b, c, d, t) {\n var inverseFactor = 1 - t;\n var inverseFactorTimesTwo = inverseFactor * inverseFactor;\n var factorTimes2 = t * t;\n var factor1 = inverseFactorTimesTwo * inverseFactor;\n var factor2 = 3 * t * inverseFactorTimesTwo;\n var factor3 = 3 * factorTimes2 * inverseFactor;\n var factor4 = factorTimes2 * t;\n out[0] = a[0] * factor1 + b[0] * factor2 + c[0] * factor3 + d[0] * factor4;\n out[1] = a[1] * factor1 + b[1] * factor2 + c[1] * factor3 + d[1] * factor4;\n out[2] = a[2] * factor1 + b[2] * factor2 + c[2] * factor3 + d[2] * factor4;\n return out;\n}\n/**\n * Generates a random vector with the given scale\n *\n * @param {vec3} out the receiving vector\n * @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned\n * @returns {vec3} out\n */\n\nexport function random(out, scale) {\n scale = scale || 1.0;\n var r = glMatrix.RANDOM() * 2.0 * Math.PI;\n var z = glMatrix.RANDOM() * 2.0 - 1.0;\n var zScale = Math.sqrt(1.0 - z * z) * scale;\n out[0] = Math.cos(r) * zScale;\n out[1] = Math.sin(r) * zScale;\n out[2] = z * scale;\n return out;\n}\n/**\n * Transforms the vec3 with a mat4.\n * 4th vector component is implicitly '1'\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a the vector to transform\n * @param {ReadonlyMat4} m matrix to transform with\n * @returns {vec3} out\n */\n\nexport function transformMat4(out, a, m) {\n var x = a[0],\n y = a[1],\n z = a[2];\n var w = m[3] * x + m[7] * y + m[11] * z + m[15];\n w = w || 1.0;\n out[0] = (m[0] * x + m[4] * y + m[8] * z + m[12]) / w;\n out[1] = (m[1] * x + m[5] * y + m[9] * z + m[13]) / w;\n out[2] = (m[2] * x + m[6] * y + m[10] * z + m[14]) / w;\n return out;\n}\n/**\n * Transforms the vec3 with a mat3.\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a the vector to transform\n * @param {ReadonlyMat3} m the 3x3 matrix to transform with\n * @returns {vec3} out\n */\n\nexport function transformMat3(out, a, m) {\n var x = a[0],\n y = a[1],\n z = a[2];\n out[0] = x * m[0] + y * m[3] + z * m[6];\n out[1] = x * m[1] + y * m[4] + z * m[7];\n out[2] = x * m[2] + y * m[5] + z * m[8];\n return out;\n}\n/**\n * Transforms the vec3 with a quat\n * Can also be used for dual quaternions. (Multiply it with the real part)\n *\n * @param {vec3} out the receiving vector\n * @param {ReadonlyVec3} a the vector to transform\n * @param {ReadonlyQuat} q quaternion to transform with\n * @returns {vec3} out\n */\n\nexport function transformQuat(out, a, q) {\n // benchmarks: https://jsperf.com/quaternion-transform-vec3-implementations-fixed\n var qx = q[0],\n qy = q[1],\n qz = q[2],\n qw = q[3];\n var x = a[0],\n y = a[1],\n z = a[2]; // var qvec = [qx, qy, qz];\n // var uv = vec3.cross([], qvec, a);\n\n var uvx = qy * z - qz * y,\n uvy = qz * x - qx * z,\n uvz = qx * y - qy * x; // var uuv = vec3.cross([], qvec, uv);\n\n var uuvx = qy * uvz - qz * uvy,\n uuvy = qz * uvx - qx * uvz,\n uuvz = qx * uvy - qy * uvx; // vec3.scale(uv, uv, 2 * w);\n\n var w2 = qw * 2;\n uvx *= w2;\n uvy *= w2;\n uvz *= w2; // vec3.scale(uuv, uuv, 2);\n\n uuvx *= 2;\n uuvy *= 2;\n uuvz *= 2; // return vec3.add(out, a, vec3.add(out, uv, uuv));\n\n out[0] = x + uvx + uuvx;\n out[1] = y + uvy + uuvy;\n out[2] = z + uvz + uuvz;\n return out;\n}\n/**\n * Rotate a 3D vector around the x-axis\n * @param {vec3} out The receiving vec3\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @returns {vec3} out\n */\n\nexport function rotateX(out, a, b, rad) {\n var p = [],\n r = []; //Translate point to the origin\n\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2]; //perform rotation\n\n r[0] = p[0];\n r[1] = p[1] * Math.cos(rad) - p[2] * Math.sin(rad);\n r[2] = p[1] * Math.sin(rad) + p[2] * Math.cos(rad); //translate to correct position\n\n out[0] = r[0] + b[0];\n out[1] = r[1] + b[1];\n out[2] = r[2] + b[2];\n return out;\n}\n/**\n * Rotate a 3D vector around the y-axis\n * @param {vec3} out The receiving vec3\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @returns {vec3} out\n */\n\nexport function rotateY(out, a, b, rad) {\n var p = [],\n r = []; //Translate point to the origin\n\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2]; //perform rotation\n\n r[0] = p[2] * Math.sin(rad) + p[0] * Math.cos(rad);\n r[1] = p[1];\n r[2] = p[2] * Math.cos(rad) - p[0] * Math.sin(rad); //translate to correct position\n\n out[0] = r[0] + b[0];\n out[1] = r[1] + b[1];\n out[2] = r[2] + b[2];\n return out;\n}\n/**\n * Rotate a 3D vector around the z-axis\n * @param {vec3} out The receiving vec3\n * @param {ReadonlyVec3} a The vec3 point to rotate\n * @param {ReadonlyVec3} b The origin of the rotation\n * @param {Number} rad The angle of rotation in radians\n * @returns {vec3} out\n */\n\nexport function rotateZ(out, a, b, rad) {\n var p = [],\n r = []; //Translate point to the origin\n\n p[0] = a[0] - b[0];\n p[1] = a[1] - b[1];\n p[2] = a[2] - b[2]; //perform rotation\n\n r[0] = p[0] * Math.cos(rad) - p[1] * Math.sin(rad);\n r[1] = p[0] * Math.sin(rad) + p[1] * Math.cos(rad);\n r[2] = p[2]; //translate to correct position\n\n out[0] = r[0] + b[0];\n out[1] = r[1] + b[1];\n out[2] = r[2] + b[2];\n return out;\n}\n/**\n * Get the angle between two 3D vectors\n * @param {ReadonlyVec3} a The first operand\n * @param {ReadonlyVec3} b The second operand\n * @returns {Number} The angle in radians\n */\n\nexport function angle(a, b) {\n var ax = a[0],\n ay = a[1],\n az = a[2],\n bx = b[0],\n by = b[1],\n bz = b[2],\n mag1 = Math.sqrt(ax * ax + ay * ay + az * az),\n mag2 = Math.sqrt(bx * bx + by * by + bz * bz),\n mag = mag1 * mag2,\n cosine = mag && dot(a, b) / mag;\n return Math.acos(Math.min(Math.max(cosine, -1), 1));\n}\n/**\n * Set the components of a vec3 to zero\n *\n * @param {vec3} out the receiving vector\n * @returns {vec3} out\n */\n\nexport function zero(out) {\n out[0] = 0.0;\n out[1] = 0.0;\n out[2] = 0.0;\n return out;\n}\n/**\n * Returns a string representation of a vector\n *\n * @param {ReadonlyVec3} a vector to represent as a string\n * @returns {String} string representation of the vector\n */\n\nexport function str(a) {\n return \"vec3(\" + a[0] + \", \" + a[1] + \", \" + a[2] + \")\";\n}\n/**\n * Returns whether or not the vectors have exactly the same elements in the same position (when compared with ===)\n *\n * @param {ReadonlyVec3} a The first vector.\n * @param {ReadonlyVec3} b The second vector.\n * @returns {Boolean} True if the vectors are equal, false otherwise.\n */\n\nexport function exactEquals(a, b) {\n return a[0] === b[0] && a[1] === b[1] && a[2] === b[2];\n}\n/**\n * Returns whether or not the vectors have approximately the same elements in the same position.\n *\n * @param {ReadonlyVec3} a The first vector.\n * @param {ReadonlyVec3} b The second vector.\n * @returns {Boolean} True if the vectors are equal, false otherwise.\n */\n\nexport function equals(a, b) {\n var a0 = a[0],\n a1 = a[1],\n a2 = a[2];\n var b0 = b[0],\n b1 = b[1],\n b2 = b[2];\n 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));\n}\n/**\n * Alias for {@link vec3.subtract}\n * @function\n */\n\nexport var sub = subtract;\n/**\n * Alias for {@link vec3.multiply}\n * @function\n */\n\nexport var mul = multiply;\n/**\n * Alias for {@link vec3.divide}\n * @function\n */\n\nexport var div = divide;\n/**\n * Alias for {@link vec3.distance}\n * @function\n */\n\nexport var dist = distance;\n/**\n * Alias for {@link vec3.squaredDistance}\n * @function\n */\n\nexport var sqrDist = squaredDistance;\n/**\n * Alias for {@link vec3.length}\n * @function\n */\n\nexport var len = length;\n/**\n * Alias for {@link vec3.squaredLength}\n * @function\n */\n\nexport var sqrLen = squaredLength;\n/**\n * Perform some operation over an array of vec3s.\n *\n * @param {Array} a the array of vectors to iterate over\n * @param {Number} stride Number of elements between the start of each vec3. If 0 assumes tightly packed\n * @param {Number} offset Number of elements to skip at the beginning of the array\n * @param {Number} count Number of vec3s to iterate over. If 0 iterates over entire array\n * @param {Function} fn Function to call for each vector in the array\n * @param {Object} [arg] additional argument to pass to fn\n * @returns {Array} a\n * @function\n */\n\nexport var forEach = function () {\n var vec = create();\n return function (a, stride, offset, count, fn, arg) {\n var i, l;\n if (!stride) {\n stride = 3;\n }\n if (!offset) {\n offset = 0;\n }\n if (count) {\n l = Math.min(count * stride + offset, a.length);\n } else {\n l = a.length;\n }\n for (i = offset; i < l; i += stride) {\n vec[0] = a[i];\n vec[1] = a[i + 1];\n vec[2] = a[i + 2];\n fn(vec, vec, arg);\n a[i] = vec[0];\n a[i + 1] = vec[1];\n a[i + 2] = vec[2];\n }\n return a;\n };\n}();"
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"source": "import { __assign, __extends, __rest } from \"tslib\";\nimport { clamp, deepMix, each, filter, get, mix, isNumber, isFunction } from '@antv/util';\nimport { ellipsisLabel } from '../util/label';\nimport { getMatrixByAngle, getMatrixByTranslate } from '../util/matrix';\nimport { getStatesStyle } from '../util/state';\nimport Theme from '../util/theme';\nimport LegendBase from './base';\n/**\n * 分页器 默认配置\n */\nvar DEFAULT_PAGE_NAVIGATOR = {\n marker: {\n style: {\n inactiveFill: '#000',\n inactiveOpacity: 0.45,\n fill: '#000',\n opacity: 1,\n size: 12\n }\n },\n text: {\n style: {\n fill: '#ccc',\n fontSize: 12\n }\n }\n};\n// 默认 文本style\nvar textStyle = {\n fill: Theme.textColor,\n fontSize: 12,\n textAlign: 'start',\n textBaseline: 'middle',\n fontFamily: Theme.fontFamily,\n fontWeight: 'normal',\n lineHeight: 12\n};\nvar RIGHT_ARROW_NAME = 'navigation-arrow-right';\nvar LEFT_ARROW_NAME = 'navigation-arrow-left';\nvar ROTATE_MAP = {\n right: 90 * Math.PI / 180,\n left: (360 - 90) * Math.PI / 180,\n up: 0,\n down: 180 * Math.PI / 180\n};\nvar Category = /** @class */function (_super) {\n __extends(Category, _super);\n function Category() {\n var _this = _super !== null && _super.apply(this, arguments) || this;\n _this.currentPageIndex = 1;\n _this.totalPagesCnt = 1;\n _this.pageWidth = 0;\n _this.pageHeight = 0;\n _this.startX = 0;\n _this.startY = 0;\n _this.onNavigationBack = function () {\n var itemGroup = _this.getElementByLocalId('item-group');\n if (_this.currentPageIndex > 1) {\n _this.currentPageIndex -= 1;\n _this.updateNavigation();\n var matrix = _this.getCurrentNavigationMatrix();\n if (_this.get('animate')) {\n itemGroup.animate({\n matrix: matrix\n }, 100);\n } else {\n itemGroup.attr({\n matrix: matrix\n });\n }\n }\n };\n _this.onNavigationAfter = function () {\n var itemGroup = _this.getElementByLocalId('item-group');\n if (_this.currentPageIndex < _this.totalPagesCnt) {\n _this.currentPageIndex += 1;\n _this.updateNavigation();\n var matrix = _this.getCurrentNavigationMatrix();\n if (_this.get('animate')) {\n itemGroup.animate({\n matrix: matrix\n }, 100);\n } else {\n itemGroup.attr({\n matrix: matrix\n });\n }\n }\n };\n return _this;\n }\n Category.prototype.getDefaultCfg = function () {\n var cfg = _super.prototype.getDefaultCfg.call(this);\n return __assign(__assign({}, cfg), {\n name: 'legend',\n type: 'category',\n itemSpacing: 24,\n itemMarginBottom: 8,\n maxItemWidth: null,\n itemWidth: null,\n itemHeight: null,\n itemName: {},\n itemValue: null,\n maxWidth: null,\n maxHeight: null,\n marker: {},\n radio: null,\n items: [],\n itemStates: {},\n itemBackground: {},\n pageNavigator: {},\n defaultCfg: {\n title: {\n spacing: 5,\n style: {\n fill: Theme.textColor,\n fontSize: 12,\n textAlign: 'start',\n textBaseline: 'top'\n }\n },\n background: {\n padding: 5,\n style: {\n stroke: Theme.lineColor\n }\n },\n itemBackground: {\n style: {\n opacity: 0,\n fill: '#fff'\n }\n },\n pageNavigator: DEFAULT_PAGE_NAVIGATOR,\n itemName: {\n spacing: 16,\n style: textStyle\n },\n marker: {\n spacing: 8,\n style: {\n r: 6,\n symbol: 'circle'\n }\n },\n itemValue: {\n alignRight: false,\n formatter: null,\n style: textStyle,\n spacing: 6\n },\n itemStates: {\n active: {\n nameStyle: {\n opacity: 0.8\n }\n },\n unchecked: {\n nameStyle: {\n fill: Theme.uncheckedColor\n },\n markerStyle: {\n fill: Theme.uncheckedColor,\n stroke: Theme.uncheckedColor\n }\n },\n inactive: {\n nameStyle: {\n fill: Theme.uncheckedColor\n },\n markerStyle: {\n opacity: 0.2\n }\n }\n }\n }\n });\n };\n // 实现 IList 接口\n Category.prototype.isList = function () {\n return true;\n };\n /**\n * 获取图例项\n * @return {ListItem[]} 列表项集合\n */\n Category.prototype.getItems = function () {\n return this.get('items');\n };\n /**\n * 设置列表项\n * @param {ListItem[]} items 列表项集合\n */\n Category.prototype.setItems = function (items) {\n this.update({\n items: items\n });\n };\n /**\n * 更新列表项\n * @param {ListItem} item 列表项\n * @param {object} cfg 列表项\n */\n Category.prototype.updateItem = function (item, cfg) {\n mix(item, cfg);\n this.clear(); // 由于单个图例项变化，会引起全局变化，所以全部更新\n this.render();\n };\n /**\n * 清空列表\n */\n Category.prototype.clearItems = function () {\n var itemGroup = this.getElementByLocalId('item-group');\n itemGroup && itemGroup.clear();\n };\n /**\n * 设置列表项的状态\n * @param {ListItem} item 列表项\n * @param {string} state 状态名\n * @param {boolean} value 状态值, true, false\n */\n Category.prototype.setItemState = function (item, state, value) {\n item[state] = value;\n var itemElement = this.getElementByLocalId(\"item-\" + item.id);\n if (itemElement) {\n var items = this.getItems();\n var index = items.indexOf(item);\n var offsetGroup = this.createOffScreenGroup(); // 离屏的 group\n var newElement = this.drawItem(item, index, this.getItemHeight(), offsetGroup);\n this.updateElements(newElement, itemElement); // 更新整个分组\n this.clearUpdateStatus(itemElement); // 清理更新状态，防止出现 bug\n }\n };\n /**\n * 是否存在指定的状态\n * @param {ListItem} item 列表项\n * @param {boolean} state 状态名\n */\n Category.prototype.hasState = function (item, state) {\n return !!item[state];\n };\n Category.prototype.getItemStates = function (item) {\n var itemStates = this.get('itemStates');\n var rst = [];\n each(itemStates, function (v, k) {\n if (item[k]) {\n // item.selected\n rst.push(k);\n }\n });\n return rst;\n };\n /**\n * 清楚所有列表项的状态\n * @param {string} state 状态值\n */\n Category.prototype.clearItemsState = function (state) {\n var _this = this;\n var items = this.getItemsByState(state);\n each(items, function (item) {\n _this.setItemState(item, state, false);\n });\n };\n /**\n * 根据状态获取图例项\n * @param {string} state [description]\n * @return {ListItem[]} [description]\n */\n Category.prototype.getItemsByState = function (state) {\n var _this = this;\n var items = this.getItems();\n return filter(items, function (item) {\n return _this.hasState(item, state);\n });\n };\n // 绘制 legend 的选项\n Category.prototype.drawLegendContent = function (group) {\n this.processItems();\n this.drawItems(group);\n };\n // 防止未设置 id\n Category.prototype.processItems = function () {\n var items = this.get('items');\n each(items, function (item) {\n if (!item.id) {\n // 如果没有设置 id，默认使用 name\n item.id = item.name;\n }\n });\n };\n // 绘制所有的图例选项\n Category.prototype.drawItems = function (group) {\n var _this = this;\n var itemContainerGroup = this.addGroup(group, {\n id: this.getElementId('item-container-group'),\n name: 'legend-item-container-group'\n });\n var itemGroup = this.addGroup(itemContainerGroup, {\n id: this.getElementId('item-group'),\n name: 'legend-item-group'\n });\n var itemHeight = this.getItemHeight();\n var itemWidth = this.get('itemWidth');\n var itemSpacing = this.get('itemSpacing');\n var itemMarginBottom = this.get('itemMarginBottom');\n var currentPoint = this.get('currentPoint');\n var startX = currentPoint.x;\n var startY = currentPoint.y;\n var layout = this.get('layout');\n var items = this.get('items');\n var wrapped = false;\n var pageWidth = 0;\n var maxWidth = this.get('maxWidth'); // 最大宽度，会导致 layout : 'horizontal' 时自动换行\n var maxHeight = this.get('maxHeight'); // 最大高度，会导致出现分页\n // 暂时不考虑分页\n each(items, function (item, index) {\n var subGroup = _this.drawItem(item, index, itemHeight, itemGroup);\n var bbox = subGroup.getBBox();\n var width = itemWidth || bbox.width;\n if (width > pageWidth) {\n pageWidth = width;\n }\n if (layout === 'horizontal') {\n // 如果水平布局\n if (maxWidth && maxWidth < currentPoint.x + width - startX) {\n // 检测是否换行\n wrapped = true;\n currentPoint.x = startX;\n currentPoint.y += itemHeight + itemMarginBottom;\n }\n _this.moveElementTo(subGroup, currentPoint);\n currentPoint.x += width + itemSpacing;\n } else {\n // 如果垂直布局\n if (maxHeight && maxHeight < currentPoint.y + itemHeight + itemMarginBottom - startY) {\n // 换行\n wrapped = true;\n currentPoint.x += pageWidth + itemSpacing;\n currentPoint.y = startY;\n pageWidth = 0;\n }\n _this.moveElementTo(subGroup, currentPoint);\n currentPoint.y += itemHeight + itemMarginBottom; // itemSpacing 仅影响水平间距\n }\n });\n\n if (wrapped && this.get('flipPage')) {\n this.pageHeight = 0;\n this.pageWidth = 0;\n this.totalPagesCnt = 1;\n this.startX = startX;\n this.startY = startY;\n this.adjustNavigation(group, itemGroup);\n }\n };\n // 获取图例项的高度，如果未定义，则按照 name 的高度计算\n Category.prototype.getItemHeight = function () {\n var itemHeight = this.get('itemHeight');\n if (!itemHeight) {\n var style_1 = (this.get('itemName') || {}).style;\n if (isFunction(style_1)) {\n var items_1 = this.getItems();\n items_1.forEach(function (item, index) {\n var fontSize = __assign(__assign({}, textStyle), style_1(item, index, items_1)).fontSize;\n if (itemHeight < fontSize) {\n itemHeight = fontSize;\n }\n });\n } else if (style_1) {\n itemHeight = style_1.fontSize;\n }\n }\n return itemHeight;\n };\n // 绘制 marker\n Category.prototype.drawMarker = function (container, markerCfg, item, itemHeight) {\n var markerAttrs = __assign(__assign(__assign({\n x: 0,\n y: itemHeight / 2\n }, markerCfg.style), {\n symbol: get(item.marker, 'symbol', 'circle')\n }), get(item.marker, 'style', {}));\n var shape = this.addShape(container, {\n type: 'marker',\n id: this.getElementId(\"item-\" + item.id + \"-marker\"),\n name: 'legend-item-marker',\n attrs: markerAttrs\n });\n var bbox = shape.getBBox();\n shape.attr('x', bbox.width / 2); // marker 需要左对齐，所以不能占用左侧的空间\n var _a = shape.attr(),\n stroke = _a.stroke,\n fill = _a.fill;\n if (stroke) {\n shape.set('isStroke', true);\n }\n if (fill) {\n shape.set('isFill', true);\n }\n return shape;\n };\n // 绘制文本\n Category.prototype.drawItemText = function (container, textName, cfg, item, itemHeight, xPosition, index) {\n var formatter = cfg.formatter;\n var style = cfg.style;\n var attrs = __assign(__assign({\n x: xPosition,\n y: itemHeight / 2,\n text: formatter ? formatter(item[textName], item, index) : item[textName]\n }, textStyle), isFunction(style) ? style(item, index, this.getItems()) : style);\n return this.addShape(container, {\n type: 'text',\n id: this.getElementId(\"item-\" + item.id + \"-\" + textName),\n name: \"legend-item-\" + textName,\n attrs: attrs\n });\n };\n Category.prototype.drawRadio = function (container, radioCfg, item, itemHeight, x) {\n var _a, _b;\n var style = radioCfg.style || {};\n // 以用户设置的 r 为主\n var r = (_a = style.r) !== null && _a !== void 0 ? _a : itemHeight / 2;\n var lineWidth = r * 3.6 / 8;\n var _c = [x + r, itemHeight / 2 - r],\n x0 = _c[0],\n y0 = _c[1];\n var _d = [x0 + r, y0 + r],\n x1 = _d[0],\n y1 = _d[1];\n var _e = [x0, y1 + r],\n x2 = _e[0],\n y2 = _e[1];\n var _f = [x, y0 + r],\n x3 = _f[0],\n y3 = _f[1];\n var showRadio = item.showRadio;\n var attrs = __assign(__assign({\n path: [['M', x0, y0], ['A', r, r, 0, 0, 1, x1, y1], ['L', x1 - lineWidth, y1], ['L', x1, y1], ['A', r, r, 0, 0, 1, x2, y2], ['L', x2, y2 - lineWidth], ['L', x2, y2], ['A', r, r, 0, 0, 1, x3, y3], ['L', x3 + lineWidth, y3], ['L', x3, y3], ['A', r, r, 0, 0, 1, x0, y0], ['L', x0, y0 + lineWidth]],\n stroke: '#000000',\n fill: '#ffffff'\n }, style), {\n opacity: showRadio ? (_b = style === null || style === void 0 ? void 0 : style.opacity) !== null && _b !== void 0 ? _b : 0.45 : 0\n });\n var radioShape = this.addShape(container, {\n type: 'path',\n id: this.getElementId(\"item-\" + item.id + \"-radio\"),\n name: 'legend-item-radio',\n attrs: attrs\n });\n radioShape.set('tip', radioCfg.tip);\n return radioShape;\n };\n // 绘制图例项\n Category.prototype.drawItem = function (item, index, itemHeight, itemGroup) {\n var groupId = \"item-\" + item.id;\n // 设置单独的 Group 用于 setClip\n var subContainer = this.addGroup(itemGroup, {\n name: 'legend-item-container',\n id: this.getElementId(\"item-container-\" + groupId),\n delegateObject: {\n item: item,\n index: index\n }\n });\n var subGroup = this.addGroup(subContainer, {\n name: 'legend-item',\n id: this.getElementId(groupId),\n delegateObject: {\n item: item,\n index: index\n }\n });\n var marker = this.get('marker');\n var itemName = this.get('itemName');\n var itemValue = this.get('itemValue');\n var itemBackground = this.get('itemBackground');\n var radio = this.get('radio');\n var itemWidth = this.getLimitItemWidth();\n var curX = 0; // 记录当前 x 的位置\n if (marker) {\n var markerShape = this.drawMarker(subGroup, marker, item, itemHeight);\n var spacing = marker.spacing;\n var itemMarkerSpacing = get(item, ['marker', 'spacing']);\n if (isNumber(itemMarkerSpacing)) {\n // 如果 item 有配置 marker.spacing，采用 item 的配置\n spacing = itemMarkerSpacing;\n }\n curX = markerShape.getBBox().maxX + spacing;\n }\n if (itemName) {\n var nameShape = this.drawItemText(subGroup, 'name', itemName, item, itemHeight, curX, index);\n if (itemWidth) {\n // 设置了 item 的最大宽度限制，并且超出了，进行省略处理\n ellipsisLabel(true, nameShape, clamp(itemWidth - curX, 0, itemWidth));\n }\n curX = nameShape.getBBox().maxX + itemName.spacing;\n }\n if (itemValue) {\n var valueShape = this.drawItemText(subGroup, 'value', itemValue, item, itemHeight, curX, index);\n if (itemWidth) {\n if (itemValue.alignRight) {\n valueShape.attr({\n textAlign: 'right',\n x: itemWidth\n });\n ellipsisLabel(true, valueShape, clamp(itemWidth - curX, 0, itemWidth), 'head');\n } else {\n ellipsisLabel(true, valueShape, clamp(itemWidth - curX, 0, itemWidth));\n }\n }\n curX = valueShape.getBBox().maxX + itemValue.spacing;\n }\n if (radio) {\n this.drawRadio(subGroup, radio, item, itemHeight, curX);\n }\n // 添加透明的背景，便于拾取和包围盒计算\n if (itemBackground) {\n var bbox = subGroup.getBBox();\n var backShape = this.addShape(subGroup, {\n type: 'rect',\n name: 'legend-item-background',\n id: this.getElementId(groupId + \"-background\"),\n attrs: __assign({\n x: 0,\n y: 0,\n width: bbox.width,\n height: itemHeight\n }, itemBackground.style)\n });\n backShape.toBack();\n }\n this.applyItemStates(item, subGroup);\n return subGroup;\n };\n // 加上分页器并重新排序 items\n Category.prototype.adjustNavigation = function (container, itemGroup) {\n var _this = this;\n var startX = this.startX;\n var startY = this.startY;\n var layout = this.get('layout');\n var subGroups = itemGroup.findAll(function (item) {\n return item.get('name') === 'legend-item';\n });\n var maxWidth = this.get('maxWidth');\n var maxHeight = this.get('maxHeight');\n var itemWidth = this.get('itemWidth');\n var itemSpacing = this.get('itemSpacing');\n var itemHeight = this.getItemHeight();\n var pageNavigator = deepMix({}, DEFAULT_PAGE_NAVIGATOR, this.get('pageNavigator'));\n var navigation = this.drawNavigation(container, layout, '00/00', pageNavigator);\n var navigationBBox = navigation.getBBox();\n var currentPoint = {\n x: startX,\n y: startY\n };\n var pages = 1;\n var widthLimit = 0;\n var pageWidth = 0;\n var maxItemWidth = 0;\n var itemMarginBottom = this.get('itemMarginBottom');\n if (layout === 'horizontal') {\n var maxRow = this.get('maxRow') || 1;\n var maxRowHeight_1 = itemHeight + (maxRow === 1 ? 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'up' : 'left', size, arrowStyle);\n leftArrow.on('click', this.onNavigationBack);\n var leftArrowBBox = leftArrow.getBBox();\n currentPoint.x += leftArrowBBox.width + 2;\n var textShape = this.addShape(subGroup, {\n type: 'text',\n id: this.getElementId('navigation-text'),\n name: 'navigation-text',\n attrs: __assign({\n x: currentPoint.x,\n y: currentPoint.y + size / 2,\n text: text,\n textBaseline: 'middle'\n }, get(styleCfg.text, 'style'))\n });\n var textBBox = textShape.getBBox();\n currentPoint.x += textBBox.width + 2;\n var rightArrow = this.drawArrow(subGroup, currentPoint, RIGHT_ARROW_NAME, layout === 'horizontal' ? 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"source": "import { __assign, __extends, __spreadArrays } from \"tslib\";\nimport { clone, isFunction, mix, upperFirst } from '@antv/util';\nimport Theme from '../util/theme';\nimport { getValueByPercent } from '../util/util';\nimport LegendBase from './base';\nvar HANDLER_HEIGHT_RATIO = 1.4;\nvar HANDLER_TRIANGLE_RATIO = 0.4;\nvar ContinueLegend = /** @class */function (_super) {\n __extends(ContinueLegend, _super);\n function ContinueLegend() {\n return _super !== null && _super.apply(this, arguments) || this;\n }\n ContinueLegend.prototype.getDefaultCfg = function () {\n var cfg = _super.prototype.getDefaultCfg.call(this);\n return __assign(__assign({}, cfg), {\n type: 'continue',\n min: 0,\n max: 100,\n value: null,\n colors: [],\n track: {},\n rail: {},\n label: {},\n handler: {},\n slidable: true,\n tip: null,\n step: null,\n maxWidth: null,\n maxHeight: null,\n defaultCfg: {\n label: {\n align: 'rail',\n spacing: 5,\n formatter: null,\n style: {\n fontSize: 12,\n fill: Theme.textColor,\n textBaseline: 'middle',\n fontFamily: Theme.fontFamily\n }\n },\n handler: {\n size: 10,\n style: {\n fill: '#fff',\n stroke: '#333'\n }\n },\n track: {},\n rail: {\n type: 'color',\n size: 20,\n defaultLength: 100,\n style: {\n fill: '#DCDEE2'\n }\n },\n title: {\n spacing: 5,\n style: {\n fill: Theme.textColor,\n fontSize: 12,\n textAlign: 'start',\n textBaseline: 'top'\n }\n }\n }\n });\n };\n ContinueLegend.prototype.isSlider = function () {\n return true;\n };\n // 实现 IList 接口\n ContinueLegend.prototype.getValue = function () {\n return this.getCurrentValue();\n };\n ContinueLegend.prototype.getRange = function () {\n return {\n min: this.get('min'),\n max: this.get('max')\n };\n };\n // 改变 range\n ContinueLegend.prototype.setRange = function (min, max) {\n this.update({\n min: min,\n max: max\n });\n };\n ContinueLegend.prototype.setValue = function (value) {\n var originValue = this.getValue();\n this.set('value', value);\n var group = this.get('group');\n this.resetTrackClip();\n if (this.get('slidable')) {\n this.resetHandlers(group);\n }\n this.delegateEmit('valuechanged', {\n originValue: originValue,\n value: value\n });\n };\n ContinueLegend.prototype.initEvent = function () {\n var group = this.get('group');\n this.bindSliderEvent(group);\n this.bindRailEvent(group);\n this.bindTrackEvent(group);\n };\n ContinueLegend.prototype.drawLegendContent = function (group) {\n this.drawRail(group);\n this.drawLabels(group);\n this.fixedElements(group); // 调整各个图形位置，适应宽高的限制\n this.resetTrack(group);\n this.resetTrackClip(group);\n if (this.get('slidable')) {\n this.resetHandlers(group);\n }\n };\n ContinueLegend.prototype.bindSliderEvent = function (group) {\n this.bindHandlersEvent(group);\n };\n ContinueLegend.prototype.bindHandlersEvent = function (group) {\n var _this = this;\n group.on('legend-handler-min:drag', function (ev) {\n var minValue = _this.getValueByCanvasPoint(ev.x, ev.y);\n var currentValue = _this.getCurrentValue();\n var maxValue = currentValue[1];\n if (maxValue < minValue) {\n // 如果小于最小值，则调整最小值\n maxValue = minValue;\n }\n _this.setValue([minValue, maxValue]);\n });\n group.on('legend-handler-max:drag', function (ev) {\n var maxValue = _this.getValueByCanvasPoint(ev.x, ev.y);\n var currentValue = _this.getCurrentValue();\n var minValue = currentValue[0];\n if (minValue > maxValue) {\n // 如果小于最小值，则调整最小值\n minValue = maxValue;\n }\n _this.setValue([minValue, maxValue]);\n });\n };\n ContinueLegend.prototype.bindRailEvent = function (group) {};\n ContinueLegend.prototype.bindTrackEvent = function (group) {\n var _this = this;\n var prePoint = null;\n group.on('legend-track:dragstart', function (ev) {\n prePoint = {\n x: ev.x,\n y: ev.y\n };\n });\n group.on('legend-track:drag', function (ev) {\n if (!prePoint) {\n return;\n }\n var preValue = _this.getValueByCanvasPoint(prePoint.x, prePoint.y);\n var curValue = _this.getValueByCanvasPoint(ev.x, ev.y);\n var currentValue = _this.getCurrentValue();\n var curDiff = currentValue[1] - currentValue[0];\n var range = _this.getRange();\n var dValue = curValue - preValue;\n if (dValue < 0) {\n // 减小, 同时未出边界\n if (currentValue[0] + dValue > range.min) {\n _this.setValue([currentValue[0] + dValue, currentValue[1] + dValue]);\n } else {\n _this.setValue([range.min, range.min + curDiff]);\n }\n // && ||\n } else if (dValue > 0) {\n if (dValue > 0 && currentValue[1] + dValue < range.max) {\n _this.setValue([currentValue[0] + dValue, currentValue[1] + dValue]);\n } else {\n _this.setValue([range.max - curDiff, range.max]);\n }\n }\n prePoint = {\n x: ev.x,\n y: ev.y\n };\n });\n group.on('legend-track:dragend', function (ev) {\n prePoint = null;\n });\n };\n ContinueLegend.prototype.drawLabels = function (group) {\n this.drawLabel('min', group);\n this.drawLabel('max', group);\n };\n ContinueLegend.prototype.drawLabel = function (name, group) {\n var labelCfg = this.get('label');\n var style = labelCfg.style;\n var labelAlign = labelCfg.align;\n var labelFormatter = labelCfg.formatter;\n var value = this.get(name);\n var alignAttrs = this.getLabelAlignAttrs(name, labelAlign);\n var localId = \"label-\" + name;\n this.addShape(group, {\n type: 'text',\n id: this.getElementId(localId),\n name: \"legend-label-\" + name,\n attrs: __assign(__assign({\n x: 0,\n y: 0,\n text: isFunction(labelFormatter) ? labelFormatter(value) : value\n }, style), alignAttrs)\n });\n };\n // 获取文本的对齐方式，为了自适应真实操碎了心\n ContinueLegend.prototype.getLabelAlignAttrs = function (name, align) {\n var isVertical = this.isVertical();\n var textAlign = 'center';\n var textBaseline = 'middle';\n if (isVertical) {\n // 垂直布局的所有的文本都左对齐\n textAlign = 'start';\n if (align !== 'rail') {\n if (name === 'min') {\n textBaseline = 'top';\n } else {\n textBaseline = 'bottom';\n }\n } else {\n textBaseline = 'top';\n }\n } else {\n if (align !== 'rail') {\n textBaseline = 'top';\n if (name === 'min') {\n textAlign = 'start';\n } else {\n textAlign = 'end';\n }\n } else {\n textAlign = 'start';\n textBaseline = 'middle';\n }\n }\n return {\n textAlign: textAlign,\n textBaseline: textBaseline\n };\n };\n ContinueLegend.prototype.getRailPath = function (x, y, w, h) {\n var railCfg = this.get('rail');\n var size = railCfg.size,\n defaultLength = railCfg.defaultLength,\n type = railCfg.type;\n var isVertical = this.isVertical();\n var length = defaultLength;\n var width = w;\n var height = h;\n if (!width) {\n width = isVertical ? size : length;\n }\n if (!height) {\n height = isVertical ? length : size;\n }\n var path = [];\n if (type === 'color') {\n path.push(['M', x, y]);\n path.push(['L', x + width, y]);\n path.push(['L', x + width, y + height]);\n path.push(['L', x, y + height]);\n path.push(['Z']);\n } else {\n path.push(['M', x + width, y]);\n path.push(['L', x + width, y + height]);\n path.push(['L', x, y + height]);\n path.push(['Z']);\n }\n return path;\n };\n ContinueLegend.prototype.drawRail = function (group) {\n var railCfg = this.get('rail');\n var style = railCfg.style;\n this.addShape(group, {\n type: 'path',\n id: this.getElementId('rail'),\n name: 'legend-rail',\n attrs: __assign({\n path: this.getRailPath(0, 0)\n }, style)\n });\n };\n // 将传入的颜色转换成渐变色\n ContinueLegend.prototype.getTrackColor = function (colors) {\n var count = colors.length;\n if (!count) {\n return null;\n }\n if (count === 1) {\n return colors[0];\n }\n var color; // 最终形态 l(0) 0:colors[0] 0.5:colors[1] 1:colors[2];\n if (this.isVertical()) {\n // 根据方向设置渐变方向\n color = 'l(90)';\n } else {\n color = 'l(0)';\n }\n for (var i = 0; i < count; i++) {\n var percent = i / (count - 1);\n color += \" \" + percent + \":\" + colors[i];\n }\n return color;\n };\n ContinueLegend.prototype.getTrackPath = function (group) {\n var railShape = this.getRailShape(group);\n var path = railShape.attr('path');\n return clone(path);\n };\n ContinueLegend.prototype.getClipTrackAttrs = function (group) {\n var value = this.getCurrentValue();\n var min = value[0],\n max = value[1];\n var railBBox = this.getRailBBox(group);\n var startPoint = this.getPointByValue(min, group);\n var endPoint = this.getPointByValue(max, group);\n var isVertical = this.isVertical();\n var x;\n var y;\n var width;\n var height;\n if (isVertical) {\n x = railBBox.minX;\n y = startPoint.y;\n width = railBBox.width;\n height = endPoint.y - startPoint.y;\n } else {\n x = startPoint.x;\n y = railBBox.minY;\n width = endPoint.x - startPoint.x;\n height = railBBox.height;\n }\n return {\n x: x,\n y: y,\n width: width,\n height: height\n };\n };\n // 获取 track 的属性，由 path 和 颜色构成\n ContinueLegend.prototype.getTrackAttrs = function (group) {\n var trackCfg = this.get('track');\n var colors = this.get('colors');\n var path = this.getTrackPath(group);\n return mix({\n path: path,\n fill: this.getTrackColor(colors)\n }, trackCfg.style);\n };\n ContinueLegend.prototype.resetTrackClip = function (group) {\n var container = group || this.get('group');\n var trackId = this.getElementId('track');\n var trackShape = container.findById(trackId);\n var clipShape = trackShape.getClip();\n var attrs = this.getClipTrackAttrs(group);\n if (!clipShape) {\n trackShape.setClip({\n type: 'rect',\n attrs: attrs\n });\n } else {\n clipShape.attr(attrs);\n }\n };\n ContinueLegend.prototype.resetTrack = function (group) {\n var trackId = this.getElementId('track');\n var trackShape = group.findById(trackId);\n var trackAttrs = this.getTrackAttrs(group);\n if (trackShape) {\n trackShape.attr(trackAttrs);\n } else {\n this.addShape(group, {\n type: 'path',\n id: trackId,\n draggable: this.get('slidable'),\n name: 'legend-track',\n attrs: trackAttrs\n });\n }\n };\n ContinueLegend.prototype.getPointByValue = function (value, group) {\n var _a = this.getRange(),\n min = _a.min,\n max = _a.max;\n var percent = (value - min) / (max - min);\n var bbox = this.getRailBBox(group);\n var isVertcal = this.isVertical();\n var point = {\n x: 0,\n y: 0\n };\n if (isVertcal) {\n point.x = bbox.minX + bbox.width / 2;\n point.y = getValueByPercent(bbox.minY, bbox.maxY, percent);\n } else {\n point.x = getValueByPercent(bbox.minX, bbox.maxX, percent);\n point.y = bbox.minY + bbox.height / 2;\n }\n return point;\n };\n ContinueLegend.prototype.getRailShape = function (group) {\n var container = group || this.get('group');\n return container.findById(this.getElementId('rail'));\n };\n // 获取滑轨的宽高信息\n ContinueLegend.prototype.getRailBBox = function (group) {\n var railShape = this.getRailShape(group);\n var bbox = railShape.getBBox();\n return bbox;\n };\n ContinueLegend.prototype.getRailCanvasBBox = function () {\n var container = this.get('group');\n var railShape = container.findById(this.getElementId('rail'));\n var bbox = railShape.getCanvasBBox();\n return bbox;\n };\n // 是否垂直\n ContinueLegend.prototype.isVertical = function () {\n return this.get('layout') === 'vertical';\n };\n // 用于交互时\n ContinueLegend.prototype.getValueByCanvasPoint = function (x, y) {\n var _a = this.getRange(),\n min = _a.min,\n max = _a.max;\n var bbox = this.getRailCanvasBBox(); // 因为 x, y 是画布坐标\n var isVertcal = this.isVertical();\n var step = this.get('step');\n var percent;\n if (isVertcal) {\n // 垂直时计算 y\n percent = (y - bbox.minY) / bbox.height;\n } else {\n // 水平时计算 x\n percent = (x - bbox.minX) / bbox.width;\n }\n var value = getValueByPercent(min, max, percent);\n if (step) {\n var count = Math.round((value - min) / step);\n value = min + count * step; // 移动到最近的\n }\n\n if (value > max) {\n value = max;\n }\n if (value < min) {\n value = min;\n }\n return value;\n };\n // 当前选中的范围\n ContinueLegend.prototype.getCurrentValue = function () {\n var value = this.get('value');\n if (!value) {\n var values = this.get('values');\n if (!values) {\n return [this.get('min'), this.get('max')];\n }\n // 如果没有定义，取最大范围 最小值 为 values 中的最小值， 如果最小值 超过了 定义的最大值 则 做限制 最大值 反之\n return [Math.max(Math.min.apply(Math, __spreadArrays(values, [this.get('max')])), this.get('min')), Math.min(Math.max.apply(Math, __spreadArrays(values, [this.get('min')])), this.get('max'))];\n }\n return value;\n };\n // 重置滑块 handler\n ContinueLegend.prototype.resetHandlers = function (group) {\n var currentValue = this.getCurrentValue();\n var min = currentValue[0],\n max = currentValue[1];\n this.resetHandler(group, 'min', min);\n this.resetHandler(group, 'max', max);\n };\n // 获取滑块的 path\n ContinueLegend.prototype.getHandlerPath = function (handlerCfg, point) {\n var isVertical = this.isVertical();\n var path = [];\n var width = handlerCfg.size;\n var x = point.x,\n y = point.y;\n var height = width * HANDLER_HEIGHT_RATIO;\n var halfWidth = width / 2;\n var oneSixthWidth = width / 6;\n if (isVertical) {\n /**\n * 竖直情况下的滑块 handler，左侧顶点是 x,y\n * /----|\n * -- |\n * -- |\n * \\----|\n */\n var triangleX = x + height * HANDLER_TRIANGLE_RATIO;\n path.push(['M', x, y]);\n path.push(['L', triangleX, y + halfWidth]);\n path.push(['L', x + height, y + halfWidth]);\n path.push(['L', x + height, y - halfWidth]);\n path.push(['L', triangleX, y - halfWidth]);\n path.push(['Z']);\n // 绘制两条横线\n path.push(['M', triangleX, y + oneSixthWidth]);\n path.push(['L', x + height - 2, y + oneSixthWidth]);\n path.push(['M', triangleX, y - oneSixthWidth]);\n path.push(['L', x + height - 2, y - oneSixthWidth]);\n } else {\n /**\n * 水平情况下的滑块，上面顶点处是 x,y\n * / \\\n * | | | |\n * | | | |\n * -----\n */\n var triangleY = y + height * HANDLER_TRIANGLE_RATIO;\n path.push(['M', x, y]);\n path.push(['L', x - halfWidth, triangleY]);\n path.push(['L', x - halfWidth, y + height]);\n path.push(['L', x + halfWidth, y + height]);\n path.push(['L', x + halfWidth, triangleY]);\n path.push(['Z']);\n // 绘制两条竖线\n path.push(['M', x - oneSixthWidth, triangleY]);\n path.push(['L', x - oneSixthWidth, y + height - 2]);\n path.push(['M', x + oneSixthWidth, triangleY]);\n path.push(['L', x + oneSixthWidth, y + height - 2]);\n }\n return path;\n };\n // 调整 handler 的位置，如果未存在则绘制\n ContinueLegend.prototype.resetHandler = function (group, name, value) {\n var point = this.getPointByValue(value, group);\n var handlerCfg = this.get('handler');\n var path = this.getHandlerPath(handlerCfg, point);\n var id = this.getElementId(\"handler-\" + name);\n var handlerShape = group.findById(id);\n var isVertical = this.isVertical();\n if (handlerShape) {\n handlerShape.attr('path', path);\n } else {\n this.addShape(group, {\n type: 'path',\n name: \"legend-handler-\" + name,\n draggable: true,\n id: id,\n attrs: __assign(__assign({\n path: path\n }, handlerCfg.style), {\n cursor: isVertical ? 'ns-resize' : 'ew-resize'\n })\n });\n }\n };\n // 当设置了 maxWidth, maxHeight 时调整 rail 的宽度，\n // 文本的位置\n ContinueLegend.prototype.fixedElements = function (group) {\n var railShape = group.findById(this.getElementId('rail'));\n var minLabel = group.findById(this.getElementId('label-min'));\n var maxLabel = group.findById(this.getElementId('label-max'));\n var startPoint = this.getDrawPoint();\n if (this.isVertical()) {\n // 横向布局\n this.fixedVertail(minLabel, maxLabel, railShape, startPoint);\n } else {\n // 水平布局\n this.fixedHorizontal(minLabel, maxLabel, railShape, startPoint);\n }\n };\n ContinueLegend.prototype.fitRailLength = function (minLabelBBox, maxLabelBBox, railBBox, railShape) {\n var isVertical = this.isVertical();\n var lengthField = isVertical ? 'height' : 'width';\n var labelCfg = this.get('label');\n var labelAlign = labelCfg.align;\n var spacing = labelCfg.spacing;\n var maxLength = this.get(\"max\" + upperFirst(lengthField)); // get('maxWidth')\n if (maxLength) {\n var elementsLength = labelAlign === 'rail' ? railBBox[lengthField] + minLabelBBox[lengthField] + maxLabelBBox[lengthField] + spacing * 2 : railBBox[lengthField];\n var diff = elementsLength - maxLength;\n if (diff > 0) {\n // 大于限制的长度\n this.changeRailLength(railShape, lengthField, railBBox[lengthField] - diff);\n }\n }\n };\n ContinueLegend.prototype.changeRailLength = function (railShape, lengthField, length) {\n var bbox = railShape.getBBox();\n var path;\n if (lengthField === 'height') {\n path = this.getRailPath(bbox.x, bbox.y, bbox.width, length);\n } else {\n path = this.getRailPath(bbox.x, bbox.y, length, bbox.height);\n }\n railShape.attr('path', path);\n };\n ContinueLegend.prototype.changeRailPosition = function (railShape, x, y) {\n var bbox = railShape.getBBox();\n var path = this.getRailPath(x, y, bbox.width, bbox.height);\n railShape.attr('path', path);\n };\n ContinueLegend.prototype.fixedHorizontal = function (minLabel, maxLabel, railShape, startPoint) {\n var labelCfg = this.get('label');\n var labelAlign = labelCfg.align;\n var spacing = labelCfg.spacing;\n var railBBox = railShape.getBBox();\n var minLabelBBox = minLabel.getBBox();\n var maxLabelBBox = maxLabel.getBBox();\n var railHeight = railBBox.height; // 取 rail 的高度，作为高度\n this.fitRailLength(minLabelBBox, maxLabelBBox, railBBox, railShape);\n railBBox = railShape.getBBox();\n if (labelAlign === 'rail') {\n // 沿着 rail 方向\n minLabel.attr({\n x: startPoint.x,\n y: startPoint.y + railHeight / 2\n });\n this.changeRailPosition(railShape, startPoint.x + minLabelBBox.width + spacing, startPoint.y);\n maxLabel.attr({\n x: startPoint.x + minLabelBBox.width + railBBox.width + spacing * 2,\n y: startPoint.y + railHeight / 2\n });\n } else if (labelAlign === 'top') {\n minLabel.attr({\n x: startPoint.x,\n y: startPoint.y\n });\n maxLabel.attr({\n x: startPoint.x + railBBox.width,\n y: startPoint.y\n });\n this.changeRailPosition(railShape, startPoint.x, startPoint.y + minLabelBBox.height + spacing);\n } else {\n this.changeRailPosition(railShape, startPoint.x, startPoint.y);\n minLabel.attr({\n x: startPoint.x,\n y: startPoint.y + railBBox.height + spacing\n });\n maxLabel.attr({\n x: startPoint.x + railBBox.width,\n y: startPoint.y + railBBox.height + spacing\n });\n }\n };\n ContinueLegend.prototype.fixedVertail = function (minLabel, maxLabel, railShape, startPoint) {\n var labelCfg = this.get('label');\n var labelAlign = labelCfg.align;\n var spacing = labelCfg.spacing;\n var railBBox = railShape.getBBox();\n var minLabelBBox = minLabel.getBBox();\n var maxLabelBBox = maxLabel.getBBox();\n this.fitRailLength(minLabelBBox, maxLabelBBox, railBBox, railShape);\n railBBox = railShape.getBBox();\n if (labelAlign === 'rail') {\n // 沿着 rail 方向\n minLabel.attr({\n x: startPoint.x,\n y: startPoint.y\n });\n this.changeRailPosition(railShape, startPoint.x, startPoint.y + minLabelBBox.height + spacing);\n maxLabel.attr({\n x: startPoint.x,\n y: startPoint.y + minLabelBBox.height + railBBox.height + spacing * 2\n });\n } else if (labelAlign === 'right') {\n minLabel.attr({\n x: startPoint.x + railBBox.width + spacing,\n y: startPoint.y\n });\n this.changeRailPosition(railShape, startPoint.x, startPoint.y);\n maxLabel.attr({\n x: startPoint.x + railBBox.width + spacing,\n y: startPoint.y + railBBox.height\n });\n } else {\n // left\n var maxLabelWidth = Math.max(minLabelBBox.width, maxLabelBBox.width);\n minLabel.attr({\n x: startPoint.x,\n y: startPoint.y\n });\n this.changeRailPosition(railShape, startPoint.x + maxLabelWidth + spacing, startPoint.y);\n maxLabel.attr({\n x: startPoint.x,\n y: startPoint.y + railBBox.height\n });\n }\n };\n return ContinueLegend;\n}(LegendBase);\nexport default ContinueLegend;"
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out[2] = a[2];\n out[3] = a[3];\n out[4] = a[4];\n out[5] = a[5];\n return out;\n}\n/**\n * Set a mat2d to the identity matrix\n *\n * @param {mat2d} out the receiving matrix\n * @returns {mat2d} out\n */\n\nexport function identity(out) {\n out[0] = 1;\n out[1] = 0;\n out[2] = 0;\n out[3] = 1;\n out[4] = 0;\n out[5] = 0;\n return out;\n}\n/**\n * Create a new mat2d with the given values\n *\n * @param {Number} a Component A (index 0)\n * @param {Number} b Component B (index 1)\n * @param {Number} c Component C (index 2)\n * @param {Number} d Component D (index 3)\n * @param {Number} tx Component TX (index 4)\n * @param {Number} ty Component TY (index 5)\n * @returns {mat2d} A new mat2d\n */\n\nexport function fromValues(a, b, c, d, tx, ty) {\n var out = new glMatrix.ARRAY_TYPE(6);\n out[0] = a;\n out[1] = b;\n out[2] = c;\n out[3] = d;\n out[4] = tx;\n out[5] = ty;\n return out;\n}\n/**\n * Set the components of a mat2d to the given values\n *\n * @param {mat2d} out the receiving 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Component in column 1, row 1 position (index 5)\n * @param {Number} m12 Component in column 1, row 2 position (index 6)\n * @param {Number} m13 Component in column 1, row 3 position (index 7)\n * @param {Number} m20 Component in column 2, row 0 position (index 8)\n * @param {Number} m21 Component in column 2, row 1 position (index 9)\n * @param {Number} m22 Component in column 2, row 2 position (index 10)\n * @param {Number} m23 Component in column 2, row 3 position (index 11)\n * @param {Number} m30 Component in column 3, row 0 position (index 12)\n * @param {Number} m31 Component in column 3, row 1 position (index 13)\n * @param {Number} m32 Component in column 3, row 2 position (index 14)\n * @param {Number} m33 Component in column 3, row 3 position (index 15)\n * @returns {mat4} A new mat4\n */\n\nexport function fromValues(m00, m01, m02, m03, m10, m11, m12, m13, m20, m21, m22, m23, m30, m31, m32, m33) {\n var out = new glMatrix.ARRAY_TYPE(16);\n out[0] = m00;\n out[1] = m01;\n out[2] = m02;\n out[3] = m03;\n out[4] = m10;\n out[5] = m11;\n out[6] = m12;\n out[7] = m13;\n out[8] = m20;\n out[9] = m21;\n out[10] = m22;\n out[11] = m23;\n out[12] = m30;\n out[13] = m31;\n out[14] = m32;\n out[15] = m33;\n return out;\n}\n/**\n * Set the components of a mat4 to the given values\n *\n * @param {mat4} out the receiving matrix\n * @param {Number} m00 Component in column 0, row 0 position (index 0)\n * @param {Number} m01 Component in column 0, row 1 position (index 1)\n * @param {Number} m02 Component in column 0, row 2 position (index 2)\n * @param {Number} m03 Component in column 0, row 3 position (index 3)\n * @param {Number} m10 Component in column 1, row 0 position (index 4)\n * @param {Number} m11 Component in column 1, row 1 position (index 5)\n * @param {Number} m12 Component in column 1, row 2 position (index 6)\n * @param {Number} m13 Component in column 1, row 3 position (index 7)\n * @param {Number} m20 Component in column 2, row 0 position (index 8)\n * @param {Number} m21 Component in column 2, row 1 position (index 9)\n * @param {Number} m22 Component in column 2, row 2 position (index 10)\n * @param {Number} m23 Component in column 2, row 3 position (index 11)\n * @param {Number} m30 Component in column 3, row 0 position (index 12)\n * @param {Number} m31 Component in column 3, row 1 position (index 13)\n * @param {Number} m32 Component in column 3, row 2 position (index 14)\n * @param {Number} m33 Component in column 3, row 3 position (index 15)\n * @returns {mat4} out\n */\n\nexport function set(out, m00, m01, m02, m03, m10, m11, m12, m13, m20, m21, m22, m23, m30, m31, m32, m33) {\n out[0] = m00;\n out[1] = m01;\n out[2] = m02;\n out[3] = m03;\n out[4] = m10;\n out[5] = m11;\n out[6] = m12;\n out[7] = m13;\n out[8] = m20;\n out[9] = m21;\n out[10] = m22;\n out[11] = m23;\n out[12] = m30;\n out[13] = m31;\n out[14] = m32;\n out[15] = m33;\n return out;\n}\n/**\n * Set a mat4 to the identity matrix\n *\n * @param {mat4} out the receiving matrix\n * @returns {mat4} out\n */\n\nexport function identity(out) {\n out[0] = 1;\n out[1] = 0;\n out[2] = 0;\n out[3] = 0;\n out[4] = 0;\n out[5] = 1;\n out[6] = 0;\n out[7] = 0;\n out[8] = 0;\n out[9] = 0;\n out[10] = 1;\n out[11] = 0;\n out[12] = 0;\n out[13] = 0;\n out[14] = 0;\n out[15] = 1;\n return out;\n}\n/**\n * Transpose the values of a mat4\n *\n * @param {mat4} out the receiving matrix\n * @param {ReadonlyMat4} a the source matrix\n * @returns {mat4} out\n */\n\nexport function transpose(out, a) {\n // If we are transposing ourselves we can skip a few steps but have to cache some values\n if (out === a) {\n var a01 = a[1],\n a02 = a[2],\n a03 = a[3];\n var a12 = a[6],\n a13 = a[7];\n var a23 = a[11];\n out[1] = a[4];\n out[2] = a[8];\n out[3] = a[12];\n out[4] = a01;\n out[6] = a[9];\n out[7] = a[13];\n out[8] = a02;\n out[9] = a12;\n out[11] = a[14];\n out[12] = a03;\n out[13] = a13;\n out[14] = a23;\n } else {\n out[0] = a[0];\n out[1] = a[4];\n out[2] = a[8];\n out[3] = a[12];\n out[4] = a[1];\n out[5] = a[5];\n out[6] = a[9];\n out[7] = a[13];\n out[8] = a[2];\n out[9] = a[6];\n out[10] = a[10];\n out[11] = a[14];\n out[12] = a[3];\n out[13] = a[7];\n out[14] = a[11];\n out[15] = a[15];\n }\n return out;\n}\n/**\n * Inverts a mat4\n *\n * @param {mat4} out the receiving matrix\n * @param {ReadonlyMat4} a the source matrix\n * @returns {mat4} out\n */\n\nexport function invert(out, a) {\n var a00 = a[0],\n a01 = a[1],\n a02 = a[2],\n a03 = a[3];\n var a10 = a[4],\n a11 = a[5],\n a12 = a[6],\n a13 = a[7];\n var a20 = a[8],\n a21 = a[9],\n a22 = a[10],\n a23 = a[11];\n var a30 = a[12],\n a31 = a[13],\n a32 = a[14],\n a33 = a[15];\n var b00 = a00 * a11 - a01 * a10;\n var b01 = a00 * a12 - a02 * a10;\n var b02 = a00 * a13 - a03 * a10;\n var b03 = a01 * a12 - a02 * a11;\n var b04 = a01 * a13 - a03 * a11;\n var b05 = a02 * a13 - a03 * a12;\n var b06 = a20 * a31 - a21 * a30;\n var b07 = a20 * a32 - a22 * a30;\n var b08 = a20 * a33 - a23 * a30;\n var b09 = a21 * a32 - a22 * a31;\n var b10 = a21 * a33 - a23 * a31;\n var b11 = a22 * a33 - a23 * a32; // Calculate the determinant\n\n var det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;\n if (!det) {\n return null;\n }\n det = 1.0 / det;\n out[0] = (a11 * b11 - a12 * b10 + a13 * b09) * det;\n out[1] = (a02 * b10 - a01 * b11 - a03 * b09) * det;\n out[2] = (a31 * b05 - a32 * b04 + a33 * b03) * det;\n out[3] = (a22 * b04 - a21 * b05 - a23 * b03) * det;\n out[4] = (a12 * b08 - a10 * b11 - a13 * b07) * det;\n out[5] = (a00 * b11 - a02 * b08 + a03 * b07) * det;\n out[6] = (a32 * b02 - a30 * b05 - a33 * b01) * det;\n out[7] = (a20 * b05 - a22 * b02 + a23 * b01) * det;\n out[8] = (a10 * b10 - a11 * b08 + a13 * b06) * det;\n out[9] = (a01 * b08 - a00 * b10 - a03 * b06) * det;\n out[10] = (a30 * b04 - a31 * b02 + a33 * b00) * det;\n out[11] = (a21 * b02 - a20 * b04 - a23 * b00) * det;\n out[12] = (a11 * b07 - a10 * b09 - a12 * b06) * det;\n out[13] = (a00 * b09 - a01 * b07 + a02 * b06) * det;\n out[14] = (a31 * b01 - a30 * b03 - a32 * b00) * det;\n out[15] = (a20 * b03 - a21 * b01 + a22 * b00) * det;\n return out;\n}\n/**\n * Calculates the adjugate of a mat4\n *\n * @param {mat4} out the receiving matrix\n * @param {ReadonlyMat4} a the source matrix\n * @returns {mat4} out\n */\n\nexport function adjoint(out, a) {\n var a00 = a[0],\n a01 = a[1],\n a02 = a[2],\n a03 = a[3];\n var a10 = a[4],\n a11 = a[5],\n a12 = a[6],\n a13 = a[7];\n var a20 = a[8],\n a21 = a[9],\n a22 = a[10],\n a23 = a[11];\n var a30 = a[12],\n a31 = a[13],\n a32 = a[14],\n a33 = a[15];\n out[0] = a11 * (a22 * a33 - a23 * a32) - a21 * (a12 * a33 - a13 * a32) + a31 * (a12 * a23 - a13 * a22);\n out[1] = -(a01 * (a22 * a33 - a23 * a32) - a21 * (a02 * a33 - a03 * a32) + a31 * (a02 * a23 - a03 * a22));\n out[2] = a01 * (a12 * a33 - a13 * a32) - a11 * (a02 * a33 - a03 * a32) + a31 * (a02 * a13 - a03 * a12);\n out[3] = -(a01 * (a12 * a23 - a13 * a22) - a11 * (a02 * a23 - a03 * a22) + a21 * (a02 * a13 - a03 * a12));\n out[4] = -(a10 * (a22 * a33 - a23 * a32) - a20 * (a12 * a33 - a13 * a32) + a30 * (a12 * a23 - a13 * a22));\n out[5] = a00 * (a22 * a33 - a23 * a32) - a20 * (a02 * a33 - a03 * a32) + a30 * (a02 * a23 - a03 * a22);\n out[6] = -(a00 * (a12 * a33 - a13 * a32) - a10 * (a02 * a33 - a03 * a32) + a30 * (a02 * a13 - a03 * a12));\n out[7] = a00 * (a12 * a23 - a13 * a22) - a10 * (a02 * a23 - a03 * a22) + a20 * (a02 * a13 - a03 * a12);\n out[8] = a10 * (a21 * a33 - a23 * a31) - a20 * (a11 * a33 - a13 * a31) + a30 * (a11 * a23 - a13 * a21);\n out[9] = -(a00 * (a21 * a33 - a23 * a31) - a20 * (a01 * a33 - a03 * a31) + a30 * (a01 * a23 - a03 * a21));\n out[10] = a00 * (a11 * a33 - a13 * a31) - a10 * (a01 * a33 - a03 * a31) + a30 * (a01 * a13 - a03 * a11);\n out[11] = -(a00 * (a11 * a23 - a13 * a21) - a10 * (a01 * a23 - a03 * a21) + a20 * (a01 * a13 - a03 * a11));\n out[12] = -(a10 * (a21 * a32 - a22 * a31) - a20 * (a11 * a32 - a12 * a31) + a30 * (a11 * a22 - a12 * a21));\n out[13] = a00 * (a21 * a32 - a22 * a31) - a20 * (a01 * a32 - a02 * a31) + a30 * (a01 * a22 - a02 * a21);\n out[14] = -(a00 * (a11 * a32 - a12 * a31) - a10 * (a01 * a32 - a02 * a31) + a30 * (a01 * a12 - a02 * a11));\n out[15] = a00 * (a11 * a22 - a12 * a21) - a10 * (a01 * a22 - a02 * a21) + a20 * (a01 * a12 - a02 * a11);\n return out;\n}\n/**\n * Calculates the determinant of a mat4\n *\n * @param {ReadonlyMat4} a the source matrix\n * @returns {Number} determinant of a\n */\n\nexport function determinant(a) {\n var a00 = a[0],\n a01 = a[1],\n a02 = a[2],\n a03 = a[3];\n var a10 = a[4],\n a11 = a[5],\n a12 = a[6],\n a13 = a[7];\n var a20 = a[8],\n a21 = a[9],\n a22 = a[10],\n a23 = a[11];\n var a30 = a[12],\n a31 = a[13],\n a32 = a[14],\n a33 = a[15];\n var b00 = a00 * a11 - a01 * a10;\n var b01 = a00 * a12 - a02 * a10;\n var b02 = a00 * a13 - a03 * a10;\n var b03 = a01 * a12 - a02 * a11;\n var b04 = a01 * a13 - a03 * a11;\n var b05 = a02 * a13 - a03 * a12;\n var b06 = a20 * a31 - a21 * a30;\n var b07 = a20 * a32 - a22 * a30;\n var b08 = a20 * a33 - a23 * a30;\n var b09 = a21 * a32 - a22 * a31;\n var b10 = a21 * a33 - a23 * a31;\n var b11 = a22 * a33 - a23 * a32; // Calculate the determinant\n\n return b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;\n}\n/**\n * Multiplies two mat4s\n *\n * @param {mat4} out the receiving matrix\n * @param {ReadonlyMat4} a the first operand\n * @param {ReadonlyMat4} b the second operand\n * @returns {mat4} out\n */\n\nexport function multiply(out, a, b) {\n var a00 = a[0],\n a01 = a[1],\n a02 = a[2],\n a03 = a[3];\n var a10 = a[4],\n a11 = a[5],\n a12 = a[6],\n a13 = a[7];\n var a20 = a[8],\n a21 = a[9],\n a22 = a[10],\n a23 = a[11];\n var a30 = a[12],\n a31 = a[13],\n a32 = a[14],\n a33 = a[15]; // Cache only the current line of the second matrix\n\n var b0 = b[0],\n b1 = b[1],\n b2 = b[2],\n b3 = b[3];\n out[0] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;\n out[1] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;\n out[2] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;\n out[3] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;\n b0 = b[4];\n b1 = b[5];\n b2 = b[6];\n b3 = b[7];\n out[4] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;\n out[5] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;\n out[6] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;\n out[7] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;\n b0 = b[8];\n b1 = b[9];\n b2 = b[10];\n b3 = b[11];\n out[8] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;\n out[9] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;\n out[10] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;\n out[11] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;\n b0 = b[12];\n b1 = b[13];\n b2 = b[14];\n b3 = b[15];\n out[12] = b0 * a00 + b1 * a10 + b2 * a20 + b3 * a30;\n out[13] = b0 * a01 + b1 * a11 + b2 * a21 + b3 * a31;\n out[14] = b0 * a02 + b1 * a12 + b2 * a22 + b3 * a32;\n out[15] = b0 * a03 + b1 * a13 + b2 * a23 + b3 * a33;\n return out;\n}\n/**\n * Translate a mat4 by the given vector\n *\n * @param {mat4} out the receiving matrix\n * @param {ReadonlyMat4} a the matrix to translate\n * @param {ReadonlyVec3} v vector to translate by\n * @returns {mat4} out\n */\n\nexport function translate(out, a, v) {\n var x = v[0],\n y = v[1],\n z = v[2];\n var a00, a01, a02, a03;\n var a10, a11, a12, a13;\n var a20, a21, a22, a23;\n if (a === out) {\n out[12] = a[0] * x + a[4] * y + a[8] * z + a[12];\n out[13] = a[1] * x + a[5] * y + a[9] * z + a[13];\n out[14] = a[2] * x + a[6] * y + a[10] * z + a[14];\n out[15] = a[3] * x + a[7] * y + a[11] * z + a[15];\n } else {\n a00 = a[0];\n a01 = a[1];\n a02 = a[2];\n a03 = a[3];\n a10 = a[4];\n a11 = a[5];\n a12 = a[6];\n a13 = a[7];\n a20 = a[8];\n a21 = a[9];\n a22 = a[10];\n a23 = a[11];\n out[0] = a00;\n out[1] = a01;\n out[2] = a02;\n out[3] = a03;\n out[4] = a10;\n out[5] = a11;\n out[6] = a12;\n out[7] = a13;\n out[8] = a20;\n out[9] = a21;\n out[10] = a22;\n out[11] = a23;\n out[12] = a00 * x + a10 * y + a20 * z + a[12];\n out[13] = a01 * x + a11 * y + a21 * z + a[13];\n out[14] = a02 * x + a12 * y + a22 * z + a[14];\n out[15] = a03 * x + a13 * y + a23 * z + a[15];\n }\n return out;\n}\n/**\n * Scales the mat4 by the dimensions in the given vec3 not using vectorization\n *\n * @param {mat4} out the receiving matrix\n * @param {ReadonlyMat4} a the matrix to scale\n * @param {ReadonlyVec3} v the vec3 to scale the matrix by\n * @returns {mat4} out\n **/\n\nexport function scale(out, a, v) {\n var x = v[0],\n y = v[1],\n z = v[2];\n out[0] = a[0] * x;\n out[1] = a[1] * x;\n out[2] = a[2] * x;\n out[3] = a[3] * x;\n out[4] = a[4] * y;\n out[5] = a[5] * y;\n out[6] = a[6] * y;\n out[7] = a[7] * y;\n out[8] = a[8] * z;\n out[9] = a[9] * z;\n out[10] = a[10] * z;\n out[11] = a[11] * z;\n out[12] = a[12];\n out[13] = a[13];\n out[14] = a[14];\n out[15] = a[15];\n return out;\n}\n/**\n * Rotates a mat4 by the given angle around the given axis\n *\n * @param {mat4} out the receiving matrix\n * @param {ReadonlyMat4} a the matrix to rotate\n * @param {Number} rad the angle to rotate the matrix by\n * @param {ReadonlyVec3} axis the axis to rotate around\n * @returns {mat4} out\n */\n\nexport function rotate(out, a, rad, axis) {\n var x = axis[0],\n y = axis[1],\n z = axis[2];\n var len = Math.hypot(x, y, z);\n var s, c, t;\n var a00, a01, a02, a03;\n var a10, a11, a12, a13;\n var a20, a21, a22, a23;\n var b00, b01, b02;\n var b10, b11, b12;\n var b20, b21, b22;\n if (len < glMatrix.EPSILON) {\n return null;\n }\n len = 1 / len;\n x *= len;\n y *= len;\n z *= len;\n s = Math.sin(rad);\n c = Math.cos(rad);\n t = 1 - c;\n a00 = a[0];\n a01 = a[1];\n a02 = a[2];\n a03 = a[3];\n a10 = a[4];\n a11 = a[5];\n a12 = a[6];\n a13 = a[7];\n a20 = a[8];\n a21 = a[9];\n a22 = a[10];\n a23 = a[11]; // Construct the elements of the rotation matrix\n\n b00 = x * x * t + c;\n b01 = y * x * t + z * s;\n b02 = z * x * t - y * s;\n b10 = x * y * t - z * s;\n b11 = y * y * t + c;\n b12 = z * y * t + x * s;\n b20 = x * z * t + y * s;\n b21 = y * z * t - x * s;\n b22 = z * z * t + c; // Perform rotation-specific matrix multiplication\n\n out[0] = a00 * b00 + a10 * b01 + a20 * b02;\n out[1] = a01 * b00 + a11 * b01 + a21 * b02;\n out[2] = a02 * b00 + a12 * b01 + a22 * b02;\n out[3] = a03 * b00 + a13 * b01 + a23 * b02;\n out[4] = a00 * b10 + a10 * b11 + a20 * b12;\n out[5] = a01 * b10 + a11 * b11 + a21 * b12;\n out[6] = a02 * b10 + a12 * b11 + a22 * b12;\n out[7] = a03 * b10 + a13 * b11 + a23 * b12;\n out[8] = a00 * b20 + a10 * b21 + a20 * b22;\n out[9] = a01 * b20 + a11 * b21 + a21 * b22;\n out[10] = a02 * b20 + a12 * b21 + a22 * b22;\n out[11] = a03 * b20 + a13 * b21 + a23 * b22;\n if (a !== out) {\n // If the source and destination differ, copy the unchanged last row\n out[12] = a[12];\n out[13] = a[13];\n out[14] = a[14];\n out[15] = a[15];\n }\n return out;\n}\n/**\n * Rotates a matrix by the given angle around the X axis\n *\n * @param {mat4} out the receiving matrix\n * @param {ReadonlyMat4} a the matrix to rotate\n * @param {Number} rad the angle to rotate the matrix by\n * @returns {mat4} out\n */\n\nexport function rotateX(out, a, rad) {\n var s = Math.sin(rad);\n var c = Math.cos(rad);\n var a10 = a[4];\n var a11 = a[5];\n var a12 = a[6];\n var a13 = a[7];\n var a20 = a[8];\n var a21 = a[9];\n var a22 = a[10];\n var a23 = a[11];\n if (a !== out) {\n // If the source and destination differ, copy the unchanged rows\n out[0] = a[0];\n out[1] = a[1];\n out[2] = a[2];\n out[3] = a[3];\n out[12] = a[12];\n out[13] = a[13];\n out[14] = a[14];\n out[15] = a[15];\n } // Perform axis-specific matrix multiplication\n\n out[4] = a10 * c + a20 * s;\n out[5] = a11 * c + a21 * s;\n out[6] = a12 * c + a22 * s;\n out[7] = a13 * c + a23 * s;\n out[8] = a20 * c - a10 * s;\n out[9] = a21 * c - a11 * s;\n out[10] = a22 * c - a12 * s;\n out[11] = a23 * c - a13 * s;\n return out;\n}\n/**\n * Rotates a matrix by the given angle around the Y axis\n *\n * @param {mat4} out the receiving matrix\n * @param {ReadonlyMat4} a the matrix to rotate\n * @param {Number} rad the angle to rotate the matrix by\n * @returns {mat4} out\n */\n\nexport function rotateY(out, a, rad) {\n var s = Math.sin(rad);\n var c = Math.cos(rad);\n var a00 = a[0];\n var a01 = a[1];\n var a02 = a[2];\n var a03 = a[3];\n var a20 = a[8];\n var a21 = a[9];\n var a22 = a[10];\n var a23 = a[11];\n if (a !== out) {\n // If the source and destination differ, copy the unchanged rows\n out[4] = a[4];\n out[5] = a[5];\n out[6] = a[6];\n out[7] = a[7];\n out[12] = a[12];\n out[13] = a[13];\n out[14] = a[14];\n out[15] = a[15];\n } // Perform axis-specific matrix multiplication\n\n out[0] = a00 * c - a20 * s;\n out[1] = a01 * c - a21 * s;\n out[2] = a02 * c - a22 * s;\n out[3] = a03 * c - a23 * s;\n out[8] = a00 * s + a20 * c;\n out[9] = a01 * s + a21 * c;\n out[10] = a02 * s + a22 * c;\n out[11] = a03 * s + a23 * c;\n return out;\n}\n/**\n * Rotates a matrix by the given angle around the Z axis\n *\n * @param {mat4} out the receiving matrix\n * @param {ReadonlyMat4} a the matrix to rotate\n * @param {Number} rad the angle to rotate the matrix by\n * @returns {mat4} out\n */\n\nexport function rotateZ(out, a, rad) {\n var s = Math.sin(rad);\n var c = Math.cos(rad);\n var a00 = a[0];\n var a01 = a[1];\n var a02 = a[2];\n var a03 = a[3];\n var a10 = a[4];\n var a11 = a[5];\n var a12 = a[6];\n var a13 = a[7];\n if (a !== out) {\n // If the source and destination differ, copy the unchanged last row\n out[8] = a[8];\n out[9] = a[9];\n out[10] = a[10];\n out[11] = a[11];\n out[12] = a[12];\n out[13] = a[13];\n out[14] = a[14];\n out[15] = a[15];\n } // Perform axis-specific matrix multiplication\n\n out[0] = a00 * c + a10 * s;\n out[1] = a01 * c + a11 * s;\n out[2] = a02 * c + a12 * s;\n out[3] = a03 * c + a13 * s;\n out[4] = a10 * c - a00 * s;\n out[5] = a11 * c - a01 * s;\n out[6] = a12 * c - a02 * s;\n out[7] = a13 * c - a03 * s;\n return out;\n}\n/**\n * Creates a matrix from a vector translation\n * This is equivalent to (but much faster than):\n *\n * mat4.identity(dest);\n * mat4.translate(dest, dest, vec);\n *\n * @param {mat4} out mat4 receiving operation result\n * @param {ReadonlyVec3} v Translation vector\n * @returns {mat4} out\n */\n\nexport function fromTranslation(out, v) {\n out[0] = 1;\n out[1] = 0;\n out[2] = 0;\n out[3] = 0;\n out[4] = 0;\n out[5] = 1;\n out[6] = 0;\n out[7] = 0;\n out[8] = 0;\n out[9] = 0;\n out[10] = 1;\n out[11] = 0;\n out[12] = v[0];\n out[13] = v[1];\n out[14] = v[2];\n out[15] = 1;\n return out;\n}\n/**\n * Creates a matrix from a vector scaling\n * This is equivalent to (but much faster than):\n *\n * mat4.identity(dest);\n * mat4.scale(dest, dest, vec);\n *\n * @param {mat4} out mat4 receiving operation result\n * @param {ReadonlyVec3} v Scaling vector\n * @returns {mat4} out\n */\n\nexport function fromScaling(out, v) {\n out[0] = v[0];\n out[1] = 0;\n out[2] = 0;\n out[3] = 0;\n out[4] = 0;\n out[5] = v[1];\n out[6] = 0;\n out[7] = 0;\n out[8] = 0;\n out[9] = 0;\n out[10] = v[2];\n out[11] = 0;\n out[12] = 0;\n out[13] = 0;\n out[14] = 0;\n out[15] = 1;\n return out;\n}\n/**\n * Creates a matrix from a given angle around a given axis\n * This is equivalent to (but much faster than):\n *\n * mat4.identity(dest);\n * mat4.rotate(dest, dest, rad, axis);\n *\n * @param {mat4} out mat4 receiving operation result\n * @param {Number} rad the angle to rotate the matrix by\n * @param {ReadonlyVec3} axis the axis to rotate around\n * @returns {mat4} out\n */\n\nexport function fromRotation(out, rad, axis) {\n var x = axis[0],\n y = axis[1],\n z = axis[2];\n var len = Math.hypot(x, y, z);\n var s, c, t;\n if (len < glMatrix.EPSILON) {\n return null;\n }\n len = 1 / len;\n x *= len;\n y *= len;\n z *= len;\n s = Math.sin(rad);\n c = Math.cos(rad);\n t = 1 - c; // Perform rotation-specific matrix multiplication\n\n out[0] = x * x * t + c;\n out[1] = y * x * t + z * s;\n out[2] = z * x * t - y * s;\n out[3] = 0;\n out[4] = x * y * t - z * s;\n out[5] = y * y * t + c;\n out[6] = z * y * t + x * s;\n out[7] = 0;\n out[8] = x * z * t + y * s;\n out[9] = y * z * t - x * s;\n out[10] = z * z * t + c;\n out[11] = 0;\n out[12] = 0;\n out[13] = 0;\n out[14] = 0;\n out[15] = 1;\n return out;\n}\n/**\n * Creates a matrix from the given angle around the X axis\n * This is equivalent to (but much faster than):\n *\n * mat4.identity(dest);\n * mat4.rotateX(dest, dest, rad);\n *\n * @param {mat4} out mat4 receiving operation result\n * @param {Number} rad the angle to rotate the matrix by\n * @returns {mat4} out\n */\n\nexport function fromXRotation(out, rad) {\n var s = Math.sin(rad);\n var c = Math.cos(rad); // Perform axis-specific matrix multiplication\n\n out[0] = 1;\n out[1] = 0;\n out[2] = 0;\n out[3] = 0;\n out[4] = 0;\n out[5] = c;\n out[6] = s;\n out[7] = 0;\n out[8] = 0;\n out[9] = -s;\n out[10] = c;\n out[11] = 0;\n out[12] = 0;\n out[13] = 0;\n out[14] = 0;\n out[15] = 1;\n return out;\n}\n/**\n * Creates a matrix from the given angle around the Y axis\n * This is equivalent to (but much faster than):\n *\n * mat4.identity(dest);\n * mat4.rotateY(dest, dest, rad);\n *\n * @param {mat4} out mat4 receiving operation result\n * @param {Number} rad the angle to rotate the matrix by\n * @returns {mat4} out\n */\n\nexport function fromYRotation(out, rad) {\n var s = Math.sin(rad);\n var c = Math.cos(rad); // Perform axis-specific matrix multiplication\n\n out[0] = c;\n out[1] = 0;\n out[2] = -s;\n out[3] = 0;\n out[4] = 0;\n out[5] = 1;\n out[6] = 0;\n out[7] = 0;\n out[8] = s;\n out[9] = 0;\n out[10] = c;\n out[11] = 0;\n out[12] = 0;\n out[13] = 0;\n out[14] = 0;\n out[15] = 1;\n return out;\n}\n/**\n * Creates a matrix from the given angle around the Z axis\n * This is equivalent to (but much faster than):\n *\n * mat4.identity(dest);\n * mat4.rotateZ(dest, dest, rad);\n *\n * @param {mat4} out mat4 receiving operation result\n * @param {Number} rad the angle to rotate the matrix by\n * @returns {mat4} out\n */\n\nexport function fromZRotation(out, rad) {\n var s = Math.sin(rad);\n var c = Math.cos(rad); // Perform axis-specific matrix multiplication\n\n out[0] = c;\n out[1] = s;\n out[2] = 0;\n out[3] = 0;\n out[4] = -s;\n out[5] = c;\n out[6] = 0;\n out[7] = 0;\n out[8] = 0;\n out[9] = 0;\n out[10] = 1;\n out[11] = 0;\n out[12] = 0;\n out[13] = 0;\n out[14] = 0;\n out[15] = 1;\n return out;\n}\n/**\n * Creates a matrix from a quaternion rotation and vector translation\n * This is equivalent to (but much faster than):\n *\n * mat4.identity(dest);\n * mat4.translate(dest, vec);\n * let quatMat = mat4.create();\n * quat4.toMat4(quat, quatMat);\n * mat4.multiply(dest, quatMat);\n *\n * @param {mat4} out mat4 receiving operation result\n * @param {quat4} q Rotation quaternion\n * @param {ReadonlyVec3} v Translation vector\n * @returns {mat4} out\n */\n\nexport function fromRotationTranslation(out, q, v) {\n // Quaternion math\n var x = q[0],\n y = q[1],\n z = q[2],\n w = q[3];\n var x2 = x + x;\n var y2 = y + y;\n var z2 = z + z;\n var xx = x * x2;\n var xy = x * y2;\n var xz = x * z2;\n var yy = y * y2;\n var yz = y * z2;\n var zz = z * z2;\n var wx = w * x2;\n var wy = w * y2;\n var wz = w * z2;\n out[0] = 1 - (yy + zz);\n out[1] = xy + wz;\n out[2] = xz - wy;\n out[3] = 0;\n out[4] = xy - wz;\n out[5] = 1 - (xx + zz);\n out[6] = yz + wx;\n out[7] = 0;\n out[8] = xz + wy;\n out[9] = yz - wx;\n out[10] = 1 - (xx + yy);\n out[11] = 0;\n out[12] = v[0];\n out[13] = v[1];\n out[14] = v[2];\n out[15] = 1;\n return out;\n}\n/**\n * Creates a new mat4 from a dual quat.\n *\n * @param {mat4} out Matrix\n * @param {ReadonlyQuat2} a Dual Quaternion\n * @returns {mat4} mat4 receiving operation result\n */\n\nexport function fromQuat2(out, a) {\n var translation = new glMatrix.ARRAY_TYPE(3);\n var bx = -a[0],\n by = -a[1],\n bz = -a[2],\n bw = a[3],\n ax = a[4],\n ay = a[5],\n az = a[6],\n aw = a[7];\n var magnitude = bx * bx + by * by + bz * bz + bw * bw; //Only scale if it makes sense\n\n if (magnitude > 0) {\n translation[0] = (ax * bw + aw * bx + ay * bz - az * by) * 2 / magnitude;\n translation[1] = (ay * bw + aw * by + az * bx - ax * bz) * 2 / magnitude;\n translation[2] = (az * bw + aw * bz + ax * by - ay * bx) * 2 / magnitude;\n } else {\n translation[0] = (ax * bw + aw * bx + ay * bz - az * by) * 2;\n translation[1] = (ay * bw + aw * by + az * bx - ax * bz) * 2;\n translation[2] = (az * bw + aw * bz + ax * by - ay * bx) * 2;\n }\n fromRotationTranslation(out, a, translation);\n return out;\n}\n/**\n * Returns the translation vector component of a transformation\n * matrix. If a matrix is built with fromRotationTranslation,\n * the returned vector will be the same as the translation vector\n * originally supplied.\n * @param {vec3} out Vector to receive translation component\n * @param {ReadonlyMat4} mat Matrix to be decomposed (input)\n * @return {vec3} out\n */\n\nexport function getTranslation(out, mat) {\n out[0] = mat[12];\n out[1] = mat[13];\n out[2] = mat[14];\n return out;\n}\n/**\n * Returns the scaling factor component of a transformation\n * matrix. If a matrix is built with fromRotationTranslationScale\n * with a normalized Quaternion paramter, the returned vector will be\n * the same as the scaling vector\n * originally supplied.\n * @param {vec3} out Vector to receive scaling factor component\n * @param {ReadonlyMat4} mat Matrix to be decomposed (input)\n * @return {vec3} out\n */\n\nexport function getScaling(out, mat) {\n var m11 = mat[0];\n var m12 = mat[1];\n var m13 = mat[2];\n var m21 = mat[4];\n var m22 = mat[5];\n var m23 = mat[6];\n var m31 = mat[8];\n var m32 = mat[9];\n var m33 = mat[10];\n out[0] = Math.hypot(m11, m12, m13);\n out[1] = Math.hypot(m21, m22, m23);\n out[2] = Math.hypot(m31, m32, m33);\n return out;\n}\n/**\n * Returns a quaternion representing the rotational component\n * of a transformation matrix. If a matrix is built with\n * fromRotationTranslation, the returned quaternion will be the\n * same as the quaternion originally supplied.\n * @param {quat} out Quaternion to receive the rotation component\n * @param {ReadonlyMat4} mat Matrix to be decomposed (input)\n * @return {quat} out\n */\n\nexport function getRotation(out, mat) {\n var scaling = new glMatrix.ARRAY_TYPE(3);\n getScaling(scaling, mat);\n var is1 = 1 / scaling[0];\n var is2 = 1 / scaling[1];\n var is3 = 1 / scaling[2];\n var sm11 = mat[0] * is1;\n var sm12 = mat[1] * is2;\n var sm13 = mat[2] * is3;\n var sm21 = mat[4] * is1;\n var sm22 = mat[5] * is2;\n var sm23 = mat[6] * is3;\n var sm31 = mat[8] * is1;\n var sm32 = mat[9] * is2;\n var sm33 = mat[10] * is3;\n var trace = sm11 + sm22 + sm33;\n var S = 0;\n if (trace > 0) {\n S = Math.sqrt(trace + 1.0) * 2;\n out[3] = 0.25 * S;\n out[0] = (sm23 - sm32) / S;\n out[1] = (sm31 - sm13) / S;\n out[2] = (sm12 - sm21) / S;\n } else if (sm11 > sm22 && sm11 > sm33) {\n S = Math.sqrt(1.0 + sm11 - sm22 - sm33) * 2;\n out[3] = (sm23 - sm32) / S;\n out[0] = 0.25 * S;\n out[1] = (sm12 + sm21) / S;\n out[2] = (sm31 + sm13) / S;\n } else if (sm22 > sm33) {\n S = Math.sqrt(1.0 + sm22 - sm11 - sm33) * 2;\n out[3] = (sm31 - sm13) / S;\n out[0] = (sm12 + sm21) / S;\n out[1] = 0.25 * S;\n out[2] = (sm23 + sm32) / S;\n } else {\n S = Math.sqrt(1.0 + sm33 - sm11 - sm22) * 2;\n out[3] = (sm12 - sm21) / S;\n out[0] = (sm31 + sm13) / S;\n out[1] = (sm23 + sm32) / S;\n out[2] = 0.25 * S;\n }\n return out;\n}\n/**\n * Creates a matrix from a quaternion rotation, vector translation and vector scale\n * This is equivalent to (but much faster than):\n *\n * mat4.identity(dest);\n * mat4.translate(dest, vec);\n * let quatMat = mat4.create();\n * quat4.toMat4(quat, quatMat);\n * mat4.multiply(dest, quatMat);\n * mat4.scale(dest, scale)\n *\n * @param {mat4} out mat4 receiving operation result\n * @param {quat4} q Rotation quaternion\n * @param {ReadonlyVec3} v Translation vector\n * @param {ReadonlyVec3} s Scaling vector\n * @returns {mat4} out\n */\n\nexport function fromRotationTranslationScale(out, q, v, s) {\n // Quaternion math\n var x = q[0],\n y = q[1],\n z = q[2],\n w = q[3];\n var x2 = x + x;\n var y2 = y + y;\n var z2 = z + z;\n var xx = x * x2;\n var xy = x * y2;\n var xz = x * z2;\n var yy = y * y2;\n var yz = y * z2;\n var zz = z * z2;\n var wx = w * x2;\n var wy = w * y2;\n var wz = w * z2;\n var sx = s[0];\n var sy = s[1];\n var sz = s[2];\n out[0] = (1 - (yy + zz)) * sx;\n out[1] = (xy + wz) * sx;\n out[2] = (xz - wy) * sx;\n out[3] = 0;\n out[4] = (xy - wz) * sy;\n out[5] = (1 - (xx + zz)) * sy;\n out[6] = (yz + wx) * sy;\n out[7] = 0;\n out[8] = (xz + wy) * sz;\n out[9] = (yz - wx) * sz;\n out[10] = (1 - (xx + yy)) * sz;\n out[11] = 0;\n out[12] = v[0];\n out[13] = v[1];\n out[14] = v[2];\n out[15] = 1;\n return out;\n}\n/**\n * Creates a matrix from a quaternion rotation, vector translation and vector scale, rotating and scaling around the given origin\n * This is equivalent to (but much faster than):\n *\n * mat4.identity(dest);\n * mat4.translate(dest, vec);\n * mat4.translate(dest, origin);\n * let quatMat = mat4.create();\n * quat4.toMat4(quat, quatMat);\n * mat4.multiply(dest, quatMat);\n * mat4.scale(dest, scale)\n * mat4.translate(dest, negativeOrigin);\n *\n * @param {mat4} out mat4 receiving operation result\n * @param {quat4} q Rotation quaternion\n * @param {ReadonlyVec3} v Translation vector\n * @param {ReadonlyVec3} s Scaling vector\n * @param {ReadonlyVec3} o The origin vector around which to scale and rotate\n * @returns {mat4} out\n */\n\nexport function fromRotationTranslationScaleOrigin(out, q, v, s, o) {\n // Quaternion math\n var x = q[0],\n y = q[1],\n z = q[2],\n w = q[3];\n var x2 = x + x;\n var y2 = y + y;\n var z2 = z + z;\n var xx = x * x2;\n var xy = x * y2;\n var xz = x * z2;\n var yy = y * y2;\n var yz = y * z2;\n var zz = z * z2;\n var wx = w * x2;\n var wy = w * y2;\n var wz = w * z2;\n var sx = s[0];\n var sy = s[1];\n var sz = s[2];\n var ox = o[0];\n var oy = o[1];\n var oz = o[2];\n var out0 = (1 - (yy + zz)) * sx;\n var out1 = (xy + wz) * sx;\n var out2 = (xz - wy) * sx;\n var out4 = (xy - wz) * sy;\n var out5 = (1 - (xx + zz)) * sy;\n var out6 = (yz + wx) * sy;\n var out8 = (xz + wy) * sz;\n var out9 = (yz - wx) * sz;\n var out10 = (1 - (xx + yy)) * sz;\n out[0] = out0;\n out[1] = out1;\n out[2] = out2;\n out[3] = 0;\n out[4] = out4;\n out[5] = out5;\n out[6] = out6;\n out[7] = 0;\n out[8] = out8;\n out[9] = out9;\n out[10] = out10;\n out[11] = 0;\n out[12] = v[0] + ox - (out0 * ox + out4 * oy + out8 * oz);\n out[13] = v[1] + oy - (out1 * ox + out5 * oy + out9 * oz);\n out[14] = v[2] + oz - (out2 * ox + out6 * oy + out10 * oz);\n out[15] = 1;\n return out;\n}\n/**\n * Calculates a 4x4 matrix from the given quaternion\n *\n * @param {mat4} out mat4 receiving operation result\n * @param {ReadonlyQuat} q Quaternion to create matrix from\n *\n * @returns {mat4} out\n */\n\nexport function fromQuat(out, q) {\n var x = q[0],\n y = q[1],\n z = q[2],\n w = q[3];\n var x2 = x + x;\n var y2 = y + y;\n var z2 = z + z;\n var xx = x * x2;\n var yx = y * x2;\n var yy = y * y2;\n var zx = z * x2;\n var zy = z * y2;\n var zz = z * z2;\n var wx = w * x2;\n var wy = w * y2;\n var wz = w * z2;\n out[0] = 1 - yy - zz;\n out[1] = yx + wz;\n out[2] = zx - wy;\n out[3] = 0;\n out[4] = yx - wz;\n out[5] = 1 - xx - zz;\n out[6] = zy + wx;\n out[7] = 0;\n out[8] = zx + wy;\n out[9] = zy - wx;\n out[10] = 1 - xx - yy;\n out[11] = 0;\n out[12] = 0;\n out[13] = 0;\n out[14] = 0;\n out[15] = 1;\n return out;\n}\n/**\n * Generates a frustum matrix with the given bounds\n *\n * @param {mat4} out mat4 frustum matrix will be written into\n * @param {Number} left Left bound of the frustum\n * @param {Number} right Right bound of the frustum\n * @param {Number} bottom Bottom bound of the frustum\n * @param {Number} top Top bound of the frustum\n * @param {Number} near Near bound of the frustum\n * @param {Number} far Far bound of the frustum\n * @returns {mat4} out\n */\n\nexport function frustum(out, left, right, bottom, top, near, far) {\n var rl = 1 / (right - left);\n var tb = 1 / (top - bottom);\n var nf = 1 / (near - far);\n out[0] = near * 2 * rl;\n out[1] = 0;\n out[2] = 0;\n out[3] = 0;\n out[4] = 0;\n out[5] = near * 2 * tb;\n out[6] = 0;\n out[7] = 0;\n out[8] = (right + left) * rl;\n out[9] = (top + bottom) * tb;\n out[10] = (far + near) * nf;\n out[11] = -1;\n out[12] = 0;\n out[13] = 0;\n out[14] = far * near * 2 * nf;\n out[15] = 0;\n return out;\n}\n/**\n * Generates a perspective projection matrix with the given bounds.\n * The near/far clip planes correspond to a normalized device coordinate Z range of [-1, 1],\n * which matches WebGL/OpenGL's clip volume.\n * Passing null/undefined/no value for far will generate infinite projection matrix.\n *\n * @param {mat4} out mat4 frustum matrix will be written into\n * @param {number} fovy Vertical field of view in radians\n * @param {number} aspect Aspect ratio. typically viewport width/height\n * @param {number} near Near bound of the frustum\n * @param {number} far Far bound of the frustum, can be null or Infinity\n * @returns {mat4} out\n */\n\nexport function perspectiveNO(out, fovy, aspect, near, far) {\n var f = 1.0 / Math.tan(fovy / 2),\n nf;\n out[0] = f / aspect;\n out[1] = 0;\n out[2] = 0;\n out[3] = 0;\n out[4] = 0;\n out[5] = f;\n out[6] = 0;\n out[7] = 0;\n out[8] = 0;\n out[9] = 0;\n out[11] = -1;\n out[12] = 0;\n out[13] = 0;\n out[15] = 0;\n if (far != null && far !== Infinity) {\n nf = 1 / (near - far);\n out[10] = (far + near) * nf;\n out[14] = 2 * far * near * nf;\n } else {\n out[10] = -1;\n out[14] = -2 * near;\n }\n return out;\n}\n/**\n * Alias for {@link mat4.perspectiveNO}\n * @function\n */\n\nexport var perspective = perspectiveNO;\n/**\n * Generates a perspective projection matrix suitable for WebGPU with the given bounds.\n * The near/far clip planes correspond to a normalized device coordinate Z range of [0, 1],\n * which matches WebGPU/Vulkan/DirectX/Metal's clip volume.\n * Passing null/undefined/no value for far will generate infinite projection matrix.\n *\n * @param {mat4} out mat4 frustum matrix will be written into\n * @param {number} fovy Vertical field of view in radians\n * @param {number} aspect Aspect ratio. typically viewport width/height\n * @param {number} near Near bound of the frustum\n * @param {number} far Far bound of the frustum, can be null or Infinity\n * @returns {mat4} out\n */\n\nexport function perspectiveZO(out, fovy, aspect, near, far) {\n var f = 1.0 / Math.tan(fovy / 2),\n nf;\n out[0] = f / aspect;\n out[1] = 0;\n out[2] = 0;\n out[3] = 0;\n out[4] = 0;\n out[5] = f;\n out[6] = 0;\n out[7] = 0;\n out[8] = 0;\n out[9] = 0;\n out[11] = -1;\n out[12] = 0;\n out[13] = 0;\n out[15] = 0;\n if (far != null && far !== Infinity) {\n nf = 1 / (near - far);\n out[10] = far * nf;\n out[14] = far * near * nf;\n } else {\n out[10] = -1;\n out[14] = -near;\n }\n return out;\n}\n/**\n * Generates a perspective projection matrix with the given field of view.\n * This is primarily useful for generating projection matrices to be used\n * with the still experiemental WebVR API.\n *\n * @param {mat4} out mat4 frustum matrix will be written into\n * @param {Object} fov Object containing the following values: upDegrees, downDegrees, leftDegrees, rightDegrees\n * @param {number} near Near bound of the frustum\n * @param {number} far Far bound of the frustum\n * @returns {mat4} out\n */\n\nexport function perspectiveFromFieldOfView(out, fov, near, far) {\n var upTan = Math.tan(fov.upDegrees * Math.PI / 180.0);\n var downTan = Math.tan(fov.downDegrees * Math.PI / 180.0);\n var leftTan = Math.tan(fov.leftDegrees * Math.PI / 180.0);\n var rightTan = Math.tan(fov.rightDegrees * Math.PI / 180.0);\n var xScale = 2.0 / (leftTan + rightTan);\n var yScale = 2.0 / (upTan + downTan);\n out[0] = xScale;\n out[1] = 0.0;\n out[2] = 0.0;\n out[3] = 0.0;\n out[4] = 0.0;\n out[5] = yScale;\n out[6] = 0.0;\n out[7] = 0.0;\n out[8] = -((leftTan - rightTan) * xScale * 0.5);\n out[9] = (upTan - downTan) * yScale * 0.5;\n out[10] = far / (near - far);\n out[11] = -1.0;\n out[12] = 0.0;\n out[13] = 0.0;\n out[14] = far * near / (near - far);\n out[15] = 0.0;\n return out;\n}\n/**\n * Generates a orthogonal projection matrix with the given bounds.\n * The near/far clip planes correspond to a normalized device coordinate Z range of [-1, 1],\n * which matches WebGL/OpenGL's clip volume.\n *\n * @param {mat4} out mat4 frustum matrix will be written into\n * @param {number} left Left bound of the frustum\n * @param {number} right Right bound of the frustum\n * @param {number} bottom Bottom bound of the frustum\n * @param {number} top Top bound of the frustum\n * @param {number} near Near bound of the frustum\n * @param {number} far Far bound of the frustum\n * @returns {mat4} out\n */\n\nexport function orthoNO(out, left, right, bottom, top, near, far) {\n var lr = 1 / (left - right);\n var bt = 1 / (bottom - top);\n var nf = 1 / (near - far);\n out[0] = -2 * lr;\n out[1] = 0;\n out[2] = 0;\n out[3] = 0;\n out[4] = 0;\n out[5] = -2 * bt;\n out[6] = 0;\n out[7] = 0;\n out[8] = 0;\n out[9] = 0;\n out[10] = 2 * nf;\n out[11] = 0;\n out[12] = (left + right) * lr;\n out[13] = (top + bottom) * bt;\n out[14] = (far + near) * nf;\n out[15] = 1;\n return out;\n}\n/**\n * Alias for {@link mat4.orthoNO}\n * @function\n */\n\nexport var ortho = orthoNO;\n/**\n * Generates a orthogonal projection matrix with the given bounds.\n * The near/far clip planes correspond to a normalized device coordinate Z range of [0, 1],\n * which matches WebGPU/Vulkan/DirectX/Metal's clip volume.\n *\n * @param {mat4} out mat4 frustum matrix will be written into\n * @param {number} left Left bound of the frustum\n * @param {number} right Right bound of the frustum\n * @param {number} bottom Bottom bound of the frustum\n * @param {number} top Top bound of the frustum\n * @param {number} near Near bound of the frustum\n * @param {number} far Far bound of the frustum\n * @returns {mat4} out\n */\n\nexport function orthoZO(out, left, right, bottom, top, near, far) {\n var lr = 1 / (left - right);\n var bt = 1 / (bottom - top);\n var nf = 1 / (near - far);\n out[0] = -2 * lr;\n out[1] = 0;\n out[2] = 0;\n out[3] = 0;\n out[4] = 0;\n out[5] = -2 * bt;\n out[6] = 0;\n out[7] = 0;\n out[8] = 0;\n out[9] = 0;\n out[10] = nf;\n out[11] = 0;\n out[12] = (left + right) * lr;\n out[13] = (top + bottom) * bt;\n out[14] = near * nf;\n out[15] = 1;\n return out;\n}\n/**\n * Generates a look-at matrix with the given eye position, focal point, and up axis.\n * If you want a matrix that actually makes an object look at another object, you should use targetTo instead.\n *\n * @param {mat4} out mat4 frustum matrix will be written into\n * @param {ReadonlyVec3} eye Position of the viewer\n * @param {ReadonlyVec3} center Point the viewer is looking at\n * @param {ReadonlyVec3} up vec3 pointing up\n * @returns {mat4} out\n */\n\nexport function lookAt(out, eye, center, up) {\n var x0, x1, x2, y0, y1, y2, z0, z1, z2, len;\n var eyex = eye[0];\n var eyey = eye[1];\n var eyez = eye[2];\n var upx = up[0];\n var upy = up[1];\n var upz = up[2];\n var centerx = center[0];\n var centery = center[1];\n var centerz = center[2];\n if (Math.abs(eyex - centerx) < glMatrix.EPSILON && Math.abs(eyey - centery) < glMatrix.EPSILON && Math.abs(eyez - centerz) < glMatrix.EPSILON) {\n return identity(out);\n }\n z0 = eyex - centerx;\n z1 = eyey - centery;\n z2 = eyez - centerz;\n len = 1 / Math.hypot(z0, z1, z2);\n z0 *= len;\n z1 *= len;\n z2 *= len;\n x0 = upy * z2 - upz * z1;\n x1 = upz * z0 - upx * z2;\n x2 = upx * z1 - upy * z0;\n len = Math.hypot(x0, x1, x2);\n if (!len) {\n x0 = 0;\n x1 = 0;\n x2 = 0;\n } else {\n len = 1 / len;\n x0 *= len;\n x1 *= len;\n x2 *= len;\n }\n y0 = z1 * x2 - z2 * x1;\n y1 = z2 * x0 - z0 * x2;\n y2 = z0 * x1 - z1 * x0;\n len = Math.hypot(y0, y1, y2);\n if (!len) {\n y0 = 0;\n y1 = 0;\n y2 = 0;\n } else {\n len = 1 / len;\n y0 *= len;\n y1 *= len;\n y2 *= len;\n }\n out[0] = x0;\n out[1] = y0;\n out[2] = z0;\n out[3] = 0;\n out[4] = x1;\n out[5] = y1;\n out[6] = z1;\n out[7] = 0;\n out[8] = x2;\n out[9] = y2;\n out[10] = z2;\n out[11] = 0;\n out[12] = -(x0 * eyex + x1 * eyey + x2 * eyez);\n out[13] = -(y0 * eyex + y1 * eyey + y2 * eyez);\n out[14] = -(z0 * eyex + z1 * eyey + z2 * eyez);\n out[15] = 1;\n return out;\n}\n/**\n * Generates a matrix that makes something look at something else.\n *\n * @param {mat4} out mat4 frustum matrix will be written into\n * @param {ReadonlyVec3} eye Position of the viewer\n * @param {ReadonlyVec3} center Point the viewer is looking at\n * @param {ReadonlyVec3} up vec3 pointing up\n * @returns {mat4} out\n */\n\nexport function targetTo(out, eye, target, up) {\n var eyex = eye[0],\n eyey = eye[1],\n eyez = eye[2],\n upx = up[0],\n upy = up[1],\n upz = up[2];\n var z0 = eyex - target[0],\n z1 = eyey - target[1],\n z2 = eyez - target[2];\n var len = z0 * z0 + z1 * z1 + z2 * z2;\n if (len > 0) {\n len = 1 / Math.sqrt(len);\n z0 *= len;\n z1 *= len;\n z2 *= len;\n }\n var x0 = upy * z2 - upz * z1,\n x1 = upz * z0 - upx * z2,\n x2 = upx * z1 - upy * z0;\n len = x0 * x0 + x1 * x1 + x2 * x2;\n if (len > 0) {\n len = 1 / Math.sqrt(len);\n x0 *= len;\n x1 *= len;\n x2 *= len;\n }\n out[0] = x0;\n out[1] = x1;\n out[2] = x2;\n out[3] = 0;\n out[4] = z1 * x2 - z2 * x1;\n out[5] = z2 * x0 - z0 * x2;\n out[6] = z0 * x1 - z1 * x0;\n out[7] = 0;\n out[8] = z0;\n out[9] = z1;\n out[10] = z2;\n out[11] = 0;\n out[12] = eyex;\n out[13] = eyey;\n out[14] = eyez;\n out[15] = 1;\n return out;\n}\n/**\n * Returns a string representation of a mat4\n *\n * @param {ReadonlyMat4} a matrix to represent as a string\n * @returns {String} string representation of the matrix\n */\n\nexport function str(a) {\n return \"mat4(\" + a[0] + \", \" + a[1] + \", \" + a[2] + \", \" + a[3] + \", \" + a[4] + \", \" + a[5] + \", \" + a[6] + \", \" + a[7] + \", \" + a[8] + \", \" + a[9] + \", \" + a[10] + \", \" + a[11] + \", \" + a[12] + \", \" + a[13] + \", \" + a[14] + \", \" + a[15] + \")\";\n}\n/**\n * Returns Frobenius norm of a mat4\n *\n * @param {ReadonlyMat4} a the matrix to calculate Frobenius norm of\n * @returns {Number} Frobenius norm\n */\n\nexport function frob(a) {\n return Math.hypot(a[0], a[1], a[2], a[3], a[4], a[5], a[6], a[7], a[8], a[9], a[10], a[11], a[12], a[13], a[14], a[15]);\n}\n/**\n * Adds two mat4's\n *\n * @param {mat4} out the receiving matrix\n * @param {ReadonlyMat4} a the first operand\n * @param {ReadonlyMat4} b the second operand\n * @returns {mat4} out\n */\n\nexport function add(out, a, b) {\n out[0] = a[0] + b[0];\n out[1] = a[1] + b[1];\n out[2] = a[2] + b[2];\n out[3] = a[3] + b[3];\n out[4] = a[4] + b[4];\n out[5] = a[5] + b[5];\n out[6] = a[6] + b[6];\n out[7] = a[7] + b[7];\n out[8] = a[8] + b[8];\n out[9] = a[9] + b[9];\n out[10] = a[10] + b[10];\n out[11] = a[11] + b[11];\n out[12] = a[12] + b[12];\n out[13] = a[13] + b[13];\n out[14] = a[14] + b[14];\n out[15] = a[15] + b[15];\n return out;\n}\n/**\n * Subtracts matrix b from matrix a\n *\n * @param {mat4} out the receiving matrix\n * @param {ReadonlyMat4} a the first operand\n * @param {ReadonlyMat4} b the second operand\n * @returns {mat4} out\n */\n\nexport function subtract(out, a, b) {\n out[0] = a[0] - b[0];\n out[1] = a[1] - b[1];\n out[2] = a[2] - b[2];\n out[3] = a[3] - b[3];\n out[4] = a[4] - b[4];\n out[5] = a[5] - b[5];\n out[6] = a[6] - b[6];\n out[7] = a[7] - b[7];\n out[8] = a[8] - b[8];\n out[9] = a[9] - b[9];\n out[10] = a[10] - b[10];\n out[11] = a[11] - b[11];\n out[12] = a[12] - b[12];\n out[13] = a[13] - b[13];\n out[14] = a[14] - b[14];\n out[15] = a[15] - b[15];\n return out;\n}\n/**\n * Multiply each element of the matrix by a scalar.\n *\n * @param {mat4} out the receiving matrix\n * @param {ReadonlyMat4} a the matrix to scale\n * @param {Number} b amount to scale the matrix's elements by\n * @returns {mat4} out\n */\n\nexport function multiplyScalar(out, a, b) {\n out[0] = a[0] * b;\n out[1] = a[1] * b;\n out[2] = a[2] * b;\n out[3] = a[3] * b;\n out[4] = a[4] * b;\n out[5] = a[5] * b;\n out[6] = a[6] * b;\n out[7] = a[7] * b;\n out[8] = a[8] * b;\n out[9] = a[9] * b;\n out[10] = a[10] * b;\n out[11] = a[11] * b;\n out[12] = a[12] * b;\n out[13] = a[13] * b;\n out[14] = a[14] * b;\n out[15] = a[15] * b;\n return out;\n}\n/**\n * Adds two mat4's after multiplying each element of the second operand by a scalar value.\n *\n * @param {mat4} out the receiving vector\n * @param {ReadonlyMat4} a the first operand\n * @param {ReadonlyMat4} b the second operand\n * @param {Number} scale the amount to scale b's elements by before adding\n * @returns {mat4} out\n */\n\nexport function multiplyScalarAndAdd(out, a, b, scale) {\n out[0] = a[0] + b[0] * scale;\n out[1] = a[1] + b[1] * scale;\n out[2] = a[2] + b[2] * scale;\n out[3] = a[3] + b[3] * scale;\n out[4] = a[4] + b[4] * scale;\n out[5] = a[5] + b[5] * scale;\n out[6] = a[6] + b[6] * scale;\n out[7] = a[7] + b[7] * scale;\n out[8] = a[8] + b[8] * scale;\n out[9] = a[9] + b[9] * scale;\n out[10] = a[10] + b[10] * scale;\n out[11] = a[11] + b[11] * scale;\n out[12] = a[12] + b[12] * scale;\n out[13] = a[13] + b[13] * scale;\n out[14] = a[14] + b[14] * scale;\n out[15] = a[15] + b[15] * scale;\n return out;\n}\n/**\n * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===)\n *\n * @param {ReadonlyMat4} a The first matrix.\n * @param {ReadonlyMat4} b The second matrix.\n * @returns {Boolean} True if the matrices are equal, false otherwise.\n */\n\nexport function exactEquals(a, b) {\n 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] && a[9] === b[9] && a[10] === b[10] && a[11] === b[11] && a[12] === b[12] && a[13] === b[13] && a[14] === b[14] && a[15] === b[15];\n}\n/**\n * Returns whether or not the matrices have approximately the same elements in the same position.\n *\n * @param {ReadonlyMat4} a The first matrix.\n * @param {ReadonlyMat4} b The second matrix.\n * @returns {Boolean} True if the matrices are equal, false otherwise.\n */\n\nexport function equals(a, b) {\n var a0 = a[0],\n a1 = a[1],\n a2 = a[2],\n a3 = a[3];\n var a4 = a[4],\n a5 = a[5],\n a6 = a[6],\n a7 = a[7];\n var a8 = a[8],\n a9 = a[9],\n a10 = a[10],\n a11 = a[11];\n var a12 = a[12],\n a13 = a[13],\n a14 = a[14],\n a15 = a[15];\n var b0 = b[0],\n b1 = b[1],\n b2 = b[2],\n b3 = b[3];\n var b4 = b[4],\n b5 = b[5],\n b6 = b[6],\n b7 = b[7];\n var b8 = b[8],\n b9 = b[9],\n b10 = b[10],\n b11 = b[11];\n var b12 = b[12],\n b13 = b[13],\n b14 = b[14],\n b15 = b[15];\n 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)) && Math.abs(a9 - b9) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a9), Math.abs(b9)) && Math.abs(a10 - b10) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a10), Math.abs(b10)) && Math.abs(a11 - b11) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a11), Math.abs(b11)) && Math.abs(a12 - b12) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a12), Math.abs(b12)) && Math.abs(a13 - b13) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a13), Math.abs(b13)) && Math.abs(a14 - b14) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a14), Math.abs(b14)) && Math.abs(a15 - b15) <= glMatrix.EPSILON * Math.max(1.0, Math.abs(a15), Math.abs(b15));\n}\n/**\n * Alias for {@link mat4.multiply}\n * @function\n */\n\nexport var mul = multiply;\n/**\n * Alias for {@link mat4.subtract}\n * @function\n */\n\nexport var sub = subtract;"
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article \"Quaternion Calculus and Fast Animation\".\n var fTrace = m[0] + m[4] + m[8];\n var fRoot;\n if (fTrace > 0.0) {\n // |w| > 1/2, may as well choose w > 1/2\n fRoot = Math.sqrt(fTrace + 1.0); // 2w\n\n out[3] = 0.5 * fRoot;\n fRoot = 0.5 / fRoot; // 1/(4w)\n\n out[0] = (m[5] - m[7]) * fRoot;\n out[1] = (m[6] - m[2]) * fRoot;\n out[2] = (m[1] - m[3]) * fRoot;\n } else {\n // |w| <= 1/2\n var i = 0;\n if (m[4] > m[0]) i = 1;\n if (m[8] > m[i * 3 + i]) i = 2;\n var j = (i + 1) % 3;\n var k = (i + 2) % 3;\n fRoot = Math.sqrt(m[i * 3 + i] - m[j * 3 + j] - m[k * 3 + k] + 1.0);\n out[i] = 0.5 * fRoot;\n fRoot = 0.5 / fRoot;\n out[3] = (m[j * 3 + k] - m[k * 3 + j]) * fRoot;\n out[j] = (m[j * 3 + i] + m[i * 3 + j]) * fRoot;\n out[k] = (m[k * 3 + i] + m[i * 3 + k]) * fRoot;\n }\n return out;\n}\n/**\n * Creates a quaternion from the given euler angle x, y, z.\n *\n * @param {quat} out the receiving quaternion\n * @param {x} Angle to rotate around X axis in degrees.\n * @param {y} Angle 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{ReadonlyQuat} a quaternion to clone\n * @returns {quat} a new quaternion\n * @function\n */\n\nexport var clone = vec4.clone;\n/**\n * Creates a new quat initialized with the given values\n *\n * @param {Number} x X component\n * @param {Number} y Y component\n * @param {Number} z Z component\n * @param {Number} w W component\n * @returns {quat} a new quaternion\n * @function\n */\n\nexport var fromValues = vec4.fromValues;\n/**\n * Copy the values from one quat to another\n *\n * @param {quat} out the receiving quaternion\n * @param {ReadonlyQuat} a the source quaternion\n * @returns {quat} out\n * @function\n */\n\nexport var copy = vec4.copy;\n/**\n * Set the components of a quat to the given values\n *\n * @param {quat} out the receiving quaternion\n * @param {Number} x X component\n * @param {Number} y Y component\n * @param {Number} z Z component\n * @param {Number} w W component\n * @returns {quat} out\n * @function\n */\n\nexport var set = vec4.set;\n/**\n * Adds two quat's\n *\n * @param {quat} out the receiving quaternion\n * @param {ReadonlyQuat} a the first operand\n * @param {ReadonlyQuat} b the second operand\n * @returns {quat} out\n * @function\n */\n\nexport var add = vec4.add;\n/**\n * Alias for {@link quat.multiply}\n * @function\n */\n\nexport var mul = multiply;\n/**\n * Scales a quat by a scalar number\n *\n * @param {quat} out the receiving vector\n * @param {ReadonlyQuat} a the vector to scale\n * @param {Number} b amount to scale the vector by\n * @returns {quat} out\n * @function\n */\n\nexport var scale = vec4.scale;\n/**\n * Calculates the dot product of two quat's\n *\n * @param {ReadonlyQuat} a the first operand\n * @param {ReadonlyQuat} b the second operand\n * @returns {Number} dot product of a and b\n * @function\n */\n\nexport var dot = vec4.dot;\n/**\n * Performs a linear interpolation between two quat's\n *\n * @param {quat} out the receiving quaternion\n * @param {ReadonlyQuat} a the first operand\n * @param {ReadonlyQuat} b the 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Returns whether or not the quaternions have exactly the same elements in the same position (when compared with ===)\n *\n * @param {ReadonlyQuat} a The first quaternion.\n * @param {ReadonlyQuat} b The second quaternion.\n * @returns {Boolean} True if the vectors are equal, false otherwise.\n */\n\nexport var exactEquals = vec4.exactEquals;\n/**\n * Returns whether or not the quaternions have approximately the same elements in the same position.\n *\n * @param {ReadonlyQuat} a The first vector.\n * @param {ReadonlyQuat} b The second vector.\n * @returns {Boolean} True if the vectors are equal, false otherwise.\n */\n\nexport var equals = vec4.equals;\n/**\n * Sets a quaternion to represent the shortest rotation from one\n * vector to another.\n *\n * Both vectors are assumed to be unit length.\n *\n * @param {quat} out the receiving quaternion.\n * @param {ReadonlyVec3} a the initial vector\n * @param {ReadonlyVec3} b the destination vector\n * @returns {quat} out\n */\n\nexport var rotationTo = function () {\n var tmpvec3 = vec3.create();\n var xUnitVec3 = vec3.fromValues(1, 0, 0);\n var yUnitVec3 = vec3.fromValues(0, 1, 0);\n return function (out, a, b) {\n var dot = vec3.dot(a, b);\n if (dot < -0.999999) {\n vec3.cross(tmpvec3, xUnitVec3, a);\n if (vec3.len(tmpvec3) < 0.000001) vec3.cross(tmpvec3, yUnitVec3, a);\n vec3.normalize(tmpvec3, tmpvec3);\n setAxisAngle(out, tmpvec3, Math.PI);\n return out;\n } else if (dot > 0.999999) {\n out[0] = 0;\n out[1] = 0;\n out[2] = 0;\n out[3] = 1;\n return out;\n } else {\n vec3.cross(tmpvec3, a, b);\n out[0] = tmpvec3[0];\n out[1] = tmpvec3[1];\n out[2] = tmpvec3[2];\n out[3] = 1 + dot;\n return normalize(out, out);\n }\n };\n}();\n/**\n * Performs a spherical linear interpolation with two control points\n *\n * @param {quat} out the receiving quaternion\n * @param {ReadonlyQuat} a the first operand\n * @param {ReadonlyQuat} b the second operand\n * @param {ReadonlyQuat} c the third operand\n * @param {ReadonlyQuat} d the fourth operand\n * @param {Number} t interpolation amount, in the range [0-1], between the two inputs\n * @returns {quat} out\n */\n\nexport var sqlerp = function () {\n var temp1 = create();\n var temp2 = create();\n return function (out, a, b, c, d, t) {\n slerp(temp1, a, d, t);\n slerp(temp2, b, c, t);\n slerp(out, temp1, temp2, 2 * t * (1 - t));\n return out;\n };\n}();\n/**\n * Sets the specified quaternion with values corresponding to the given\n * axes. Each axis is a vec3 and is expected to be unit length and\n * perpendicular to all other specified axes.\n *\n * @param {ReadonlyVec3} view the vector representing the viewing direction\n * @param {ReadonlyVec3} right the vector representing the local \"right\" direction\n * @param {ReadonlyVec3} up the vector representing the local \"up\" direction\n * @returns {quat} out\n */\n\nexport var setAxes = function () {\n var matr = mat3.create();\n return function (out, view, right, up) {\n matr[0] = right[0];\n matr[3] = right[1];\n matr[6] = right[2];\n matr[1] = up[0];\n matr[4] = up[1];\n matr[7] = up[2];\n matr[2] = -view[0];\n matr[5] = -view[1];\n matr[8] = -view[2];\n return normalize(out, fromMat3(out, matr));\n };\n}();"
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"source": "import * as glMatrix from \"./common.js\";\nimport * as quat from \"./quat.js\";\nimport * as mat4 from \"./mat4.js\";\n/**\n * Dual Quaternion
\n * Format: [real, dual]
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\n * @module quat2\n */\n\n/**\n * Creates a new identity dual quat\n *\n * @returns {quat2} a new dual quaternion [real -> rotation, dual -> translation]\n */\n\nexport function create() {\n var dq = new glMatrix.ARRAY_TYPE(8);\n if (glMatrix.ARRAY_TYPE != Float32Array) {\n dq[0] = 0;\n dq[1] = 0;\n dq[2] = 0;\n dq[4] = 0;\n dq[5] = 0;\n dq[6] = 0;\n dq[7] = 0;\n }\n dq[3] = 1;\n return dq;\n}\n/**\n * Creates a new quat initialized with values from an existing quaternion\n *\n * @param {ReadonlyQuat2} a dual quaternion to clone\n * @returns {quat2} new dual quaternion\n * @function\n */\n\nexport function clone(a) {\n var dq = new glMatrix.ARRAY_TYPE(8);\n dq[0] = a[0];\n dq[1] = a[1];\n dq[2] = a[2];\n dq[3] = a[3];\n dq[4] = a[4];\n dq[5] = a[5];\n dq[6] = a[6];\n dq[7] = a[7];\n return dq;\n}\n/**\n * Creates a new dual quat initialized with the given values\n *\n * @param {Number} x1 X component\n * @param {Number} y1 Y component\n * @param {Number} z1 Z component\n * @param {Number} w1 W component\n * @param {Number} x2 X component\n * @param {Number} y2 Y component\n * @param {Number} z2 Z component\n * @param {Number} w2 W component\n * @returns {quat2} new dual quaternion\n * @function\n */\n\nexport function fromValues(x1, y1, z1, w1, x2, y2, z2, w2) {\n var dq = new glMatrix.ARRAY_TYPE(8);\n dq[0] = x1;\n dq[1] = y1;\n dq[2] = z1;\n dq[3] = w1;\n dq[4] = x2;\n dq[5] = y2;\n dq[6] = z2;\n dq[7] = w2;\n return dq;\n}\n/**\n * Creates a new dual quat from the given values (quat and translation)\n *\n * @param {Number} x1 X component\n * @param {Number} y1 Y component\n * @param {Number} z1 Z component\n * @param {Number} w1 W component\n * @param {Number} x2 X component (translation)\n * @param {Number} y2 Y component (translation)\n * @param {Number} z2 Z component (translation)\n * @returns {quat2} new dual quaternion\n * @function\n */\n\nexport function fromRotationTranslationValues(x1, y1, z1, w1, x2, y2, z2) {\n var dq = new glMatrix.ARRAY_TYPE(8);\n dq[0] = x1;\n dq[1] = y1;\n dq[2] = z1;\n dq[3] = w1;\n var ax = x2 * 0.5,\n ay = y2 * 0.5,\n az = z2 * 0.5;\n dq[4] = ax * w1 + ay * z1 - az * y1;\n dq[5] = ay * w1 + az * x1 - ax * z1;\n dq[6] = az * w1 + ax * y1 - ay * x1;\n dq[7] = -ax * x1 - ay * y1 - az * z1;\n return dq;\n}\n/**\n * Creates a dual quat from a quaternion and a translation\n *\n * @param {ReadonlyQuat2} dual quaternion receiving operation result\n * @param {ReadonlyQuat} q a normalized quaternion\n * @param {ReadonlyVec3} t tranlation vector\n * @returns {quat2} dual quaternion receiving operation result\n * @function\n */\n\nexport function fromRotationTranslation(out, q, t) {\n var ax = t[0] * 0.5,\n ay = t[1] * 0.5,\n az = t[2] * 0.5,\n bx = q[0],\n by = q[1],\n bz = q[2],\n bw = q[3];\n out[0] = bx;\n out[1] = by;\n out[2] = bz;\n out[3] = bw;\n out[4] = ax * bw + ay * bz - az * by;\n out[5] = ay * bw + az * bx - ax * bz;\n out[6] = az * bw + ax * by - ay * bx;\n out[7] = -ax * bx - ay * by - az * bz;\n return out;\n}\n/**\n * Creates a dual quat from a translation\n *\n * @param {ReadonlyQuat2} dual quaternion receiving operation result\n * @param {ReadonlyVec3} t translation vector\n * @returns {quat2} dual quaternion receiving operation result\n * @function\n */\n\nexport function fromTranslation(out, t) {\n out[0] = 0;\n out[1] = 0;\n out[2] = 0;\n out[3] = 1;\n out[4] = t[0] * 0.5;\n out[5] = t[1] * 0.5;\n out[6] = t[2] * 0.5;\n out[7] = 0;\n return out;\n}\n/**\n * Creates a dual quat from a quaternion\n *\n * @param {ReadonlyQuat2} dual quaternion receiving operation result\n * @param {ReadonlyQuat} q the quaternion\n * @returns {quat2} dual quaternion receiving operation result\n * @function\n */\n\nexport function fromRotation(out, q) {\n out[0] = q[0];\n out[1] = q[1];\n out[2] = q[2];\n out[3] = q[3];\n out[4] = 0;\n out[5] = 0;\n out[6] = 0;\n out[7] = 0;\n return out;\n}\n/**\n * Creates a new dual quat from a matrix (4x4)\n *\n * @param {quat2} out the dual quaternion\n * @param {ReadonlyMat4} a the matrix\n * @returns {quat2} dual quat receiving operation result\n * @function\n */\n\nexport function fromMat4(out, a) {\n //TODO Optimize this\n var outer = quat.create();\n mat4.getRotation(outer, a);\n var t = new glMatrix.ARRAY_TYPE(3);\n mat4.getTranslation(t, a);\n fromRotationTranslation(out, outer, t);\n return out;\n}\n/**\n * Copy the values from one dual quat to another\n *\n * @param {quat2} out the receiving dual quaternion\n * @param {ReadonlyQuat2} a the source dual quaternion\n * @returns {quat2} out\n * @function\n */\n\nexport function copy(out, a) {\n out[0] = a[0];\n out[1] = a[1];\n out[2] = a[2];\n out[3] = a[3];\n out[4] = a[4];\n out[5] = a[5];\n out[6] = a[6];\n out[7] = a[7];\n return out;\n}\n/**\n * Set a dual quat to the identity dual quaternion\n *\n * @param {quat2} out the receiving quaternion\n * @returns {quat2} out\n */\n\nexport function identity(out) {\n out[0] = 0;\n out[1] = 0;\n out[2] = 0;\n out[3] = 1;\n out[4] = 0;\n out[5] = 0;\n out[6] = 0;\n out[7] = 0;\n return out;\n}\n/**\n * Set the components of a dual quat to the given values\n *\n * @param {quat2} out the receiving quaternion\n * @param {Number} x1 X component\n * @param {Number} y1 Y component\n * @param {Number} z1 Z component\n * @param {Number} w1 W component\n * @param {Number} x2 X component\n * @param {Number} y2 Y component\n * @param {Number} z2 Z component\n * @param {Number} w2 W component\n * @returns {quat2} out\n * @function\n */\n\nexport function set(out, x1, y1, z1, w1, x2, y2, z2, w2) {\n out[0] = x1;\n out[1] = y1;\n out[2] = z1;\n out[3] = w1;\n out[4] = x2;\n out[5] = y2;\n out[6] = z2;\n out[7] = w2;\n return out;\n}\n/**\n * Gets the real part of a dual quat\n * @param {quat} out real part\n * @param {ReadonlyQuat2} a Dual Quaternion\n * @return {quat} real part\n */\n\nexport var getReal = quat.copy;\n/**\n * Gets the dual part of a dual quat\n * @param {quat} out dual part\n * @param {ReadonlyQuat2} a Dual Quaternion\n * @return {quat} dual part\n */\n\nexport function getDual(out, a) {\n out[0] = a[4];\n out[1] = a[5];\n out[2] = a[6];\n out[3] = a[7];\n return out;\n}\n/**\n * Set the real component of a dual quat to the given quaternion\n *\n * @param {quat2} out the receiving quaternion\n * @param {ReadonlyQuat} q a quaternion representing the real part\n * @returns {quat2} out\n * @function\n */\n\nexport var setReal = quat.copy;\n/**\n * Set the dual component of a dual quat to the given quaternion\n *\n * @param {quat2} out the receiving quaternion\n * @param {ReadonlyQuat} q a quaternion representing the dual part\n * @returns {quat2} out\n * @function\n */\n\nexport function setDual(out, q) {\n out[4] = q[0];\n out[5] = q[1];\n out[6] = q[2];\n out[7] = q[3];\n return out;\n}\n/**\n * Gets the translation of a normalized dual quat\n * @param {vec3} out translation\n * @param {ReadonlyQuat2} a Dual Quaternion to be decomposed\n * @return {vec3} translation\n */\n\nexport function getTranslation(out, a) {\n var ax = a[4],\n ay = a[5],\n az = a[6],\n aw = a[7],\n bx = -a[0],\n by = -a[1],\n bz = -a[2],\n bw = a[3];\n out[0] = (ax * bw + aw * bx + ay * bz - az * by) * 2;\n out[1] = (ay * bw + aw * by + az * bx - ax * bz) * 2;\n out[2] = (az * bw + aw * bz + ax * by - ay * bx) * 2;\n return out;\n}\n/**\n * Translates a dual quat by the given vector\n *\n * @param {quat2} out the receiving dual quaternion\n * @param {ReadonlyQuat2} a the dual quaternion to translate\n * @param {ReadonlyVec3} v vector to translate by\n * @returns {quat2} out\n */\n\nexport function translate(out, a, v) {\n var ax1 = a[0],\n ay1 = a[1],\n az1 = a[2],\n aw1 = a[3],\n bx1 = v[0] * 0.5,\n by1 = v[1] * 0.5,\n bz1 = v[2] * 0.5,\n ax2 = a[4],\n ay2 = a[5],\n az2 = a[6],\n aw2 = a[7];\n out[0] = ax1;\n out[1] = ay1;\n out[2] = az1;\n out[3] = aw1;\n out[4] = aw1 * bx1 + ay1 * bz1 - az1 * by1 + ax2;\n out[5] = aw1 * by1 + az1 * bx1 - ax1 * bz1 + ay2;\n out[6] = aw1 * bz1 + ax1 * by1 - ay1 * bx1 + az2;\n out[7] = -ax1 * bx1 - ay1 * by1 - az1 * bz1 + aw2;\n return out;\n}\n/**\n * Rotates a dual quat around the X axis\n *\n * @param {quat2} out the receiving dual quaternion\n * @param {ReadonlyQuat2} a the dual quaternion to rotate\n * @param {number} rad how far should the rotation be\n * @returns {quat2} out\n */\n\nexport function rotateX(out, a, rad) {\n var bx = -a[0],\n by = -a[1],\n bz = -a[2],\n bw = a[3],\n ax = a[4],\n ay = a[5],\n az = a[6],\n aw = a[7],\n ax1 = ax * bw + aw * bx + ay * bz - az * by,\n ay1 = ay * bw + aw * by + az * bx - ax * bz,\n az1 = az * bw + aw * bz + ax * by - ay * bx,\n aw1 = aw * bw - ax * bx - ay * by - az * bz;\n quat.rotateX(out, a, rad);\n bx = out[0];\n by = out[1];\n bz = out[2];\n bw = out[3];\n out[4] = ax1 * bw + aw1 * bx + ay1 * bz - az1 * by;\n out[5] = ay1 * bw + aw1 * by + az1 * bx - ax1 * bz;\n out[6] = az1 * bw + aw1 * bz + ax1 * by - ay1 * bx;\n out[7] = aw1 * bw - ax1 * bx - ay1 * 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the dual quaternion to rotate\n * @param {ReadonlyQuat} q quaternion to rotate by\n * @returns {quat2} out\n */\n\nexport function rotateByQuatAppend(out, a, q) {\n var qx = q[0],\n qy = q[1],\n qz = q[2],\n qw = q[3],\n ax = a[0],\n ay = a[1],\n az = a[2],\n aw = a[3];\n out[0] = ax * qw + aw * qx + ay * qz - az * qy;\n out[1] = ay * qw + aw * qy + az * qx - ax * qz;\n out[2] = az * qw + aw * qz + ax * qy - ay * qx;\n out[3] = aw * qw - ax * qx - ay * qy - az * qz;\n ax = a[4];\n ay = a[5];\n az = a[6];\n aw = a[7];\n out[4] = ax * qw + aw * qx + ay * qz - az * qy;\n out[5] = ay * qw + aw * qy + az * qx - ax * qz;\n out[6] = az * qw + aw * qz + ax * qy - ay * qx;\n out[7] = aw * qw - ax * qx - ay * qy - az * qz;\n return out;\n}\n/**\n * Rotates a dual quat by a given quaternion (q * a)\n *\n * @param {quat2} out the receiving dual quaternion\n * @param {ReadonlyQuat} q quaternion to rotate by\n * @param {ReadonlyQuat2} a the dual quaternion to rotate\n * @returns {quat2} out\n 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Does the normalisation automatically\n *\n * @param {quat2} out the receiving dual quaternion\n * @param {ReadonlyQuat2} a the dual quaternion to rotate\n * @param {ReadonlyVec3} axis the axis to rotate around\n * @param {Number} rad how far the rotation should be\n * @returns {quat2} out\n */\n\nexport function rotateAroundAxis(out, a, axis, rad) {\n //Special case for rad = 0\n if (Math.abs(rad) < glMatrix.EPSILON) {\n return copy(out, a);\n }\n var axisLength = Math.hypot(axis[0], axis[1], axis[2]);\n rad = rad * 0.5;\n var s = Math.sin(rad);\n var bx = s * axis[0] / axisLength;\n var by = s * axis[1] / axisLength;\n var bz = s * axis[2] / axisLength;\n var bw = Math.cos(rad);\n var ax1 = a[0],\n ay1 = a[1],\n az1 = a[2],\n aw1 = a[3];\n out[0] = ax1 * bw + aw1 * bx + ay1 * bz - az1 * by;\n out[1] = ay1 * bw + aw1 * by + az1 * bx - ax1 * bz;\n out[2] = az1 * bw + aw1 * bz + ax1 * by - ay1 * bx;\n out[3] = aw1 * bw - ax1 * bx - ay1 * by - az1 * bz;\n var ax = a[4],\n ay = a[5],\n az = a[6],\n aw = a[7];\n out[4] = ax * bw + aw * bx + ay * bz - az * by;\n out[5] = ay * bw + aw * by + az * bx - ax * bz;\n out[6] = az * bw + aw * bz + ax * by - ay * bx;\n out[7] = aw * bw - ax * bx - ay * by - az * bz;\n return out;\n}\n/**\n * Adds two dual quat's\n *\n * @param {quat2} out the receiving dual quaternion\n * @param {ReadonlyQuat2} a the first operand\n * @param {ReadonlyQuat2} b the second operand\n * @returns {quat2} out\n * @function\n */\n\nexport function add(out, a, b) {\n out[0] = a[0] + b[0];\n out[1] = a[1] + b[1];\n out[2] = a[2] + b[2];\n out[3] = a[3] + b[3];\n out[4] = a[4] + b[4];\n out[5] = a[5] + b[5];\n out[6] = a[6] + b[6];\n out[7] = a[7] + b[7];\n return out;\n}\n/**\n * Multiplies two dual quat's\n *\n * @param {quat2} out the receiving dual quaternion\n * @param {ReadonlyQuat2} a the first operand\n * @param {ReadonlyQuat2} b the second operand\n * @returns {quat2} out\n */\n\nexport function multiply(out, a, b) {\n var ax0 = a[0],\n ay0 = a[1],\n az0 = a[2],\n aw0 = a[3],\n bx1 = b[4],\n by1 = b[5],\n bz1 = b[6],\n bw1 = b[7],\n ax1 = a[4],\n ay1 = a[5],\n az1 = a[6],\n aw1 = a[7],\n bx0 = b[0],\n by0 = b[1],\n bz0 = b[2],\n bw0 = b[3];\n out[0] = ax0 * bw0 + aw0 * bx0 + ay0 * bz0 - az0 * by0;\n out[1] = ay0 * bw0 + aw0 * by0 + az0 * bx0 - ax0 * bz0;\n out[2] = az0 * bw0 + aw0 * bz0 + ax0 * by0 - ay0 * bx0;\n out[3] = aw0 * bw0 - ax0 * bx0 - ay0 * by0 - az0 * bz0;\n out[4] = ax0 * bw1 + aw0 * bx1 + ay0 * bz1 - az0 * by1 + ax1 * bw0 + aw1 * bx0 + ay1 * bz0 - az1 * by0;\n out[5] = ay0 * bw1 + aw0 * by1 + az0 * bx1 - ax0 * bz1 + ay1 * bw0 + aw1 * by0 + az1 * bx0 - ax1 * bz0;\n out[6] = az0 * bw1 + aw0 * bz1 + ax0 * by1 - ay0 * bx1 + az1 * bw0 + aw1 * bz0 + ax1 * by0 - ay1 * bx0;\n out[7] = aw0 * bw1 - ax0 * bx1 - ay0 * by1 - az0 * bz1 + aw1 * bw0 - ax1 * bx0 - ay1 * by0 - az1 * bz0;\n return out;\n}\n/**\n * Alias for {@link quat2.multiply}\n * @function\n */\n\nexport var mul = multiply;\n/**\n * Scales a dual quat by a scalar number\n *\n * @param {quat2} out the receiving dual quat\n * @param {ReadonlyQuat2} a the dual quat to scale\n * @param {Number} b amount to scale the dual quat by\n * @returns {quat2} out\n * @function\n */\n\nexport function scale(out, a, b) {\n out[0] = a[0] * b;\n out[1] = a[1] * b;\n out[2] = a[2] * b;\n out[3] = a[3] * b;\n out[4] = a[4] * b;\n out[5] = a[5] * b;\n out[6] = a[6] * b;\n out[7] = a[7] * b;\n return out;\n}\n/**\n * Calculates the dot product of two dual quat's (The dot product of the real parts)\n *\n * @param {ReadonlyQuat2} a the first operand\n * @param {ReadonlyQuat2} b the second operand\n * @returns {Number} dot product of a and b\n * @function\n */\n\nexport var dot = quat.dot;\n/**\n * Performs a linear interpolation between two dual quats's\n * NOTE: The resulting dual quaternions won't always be normalized (The error is most noticeable when t = 0.5)\n *\n * @param {quat2} out the receiving dual quat\n * @param {ReadonlyQuat2} a the first operand\n * @param {ReadonlyQuat2} b the second operand\n * @param {Number} t interpolation amount, in the range [0-1], between the two inputs\n * @returns {quat2} out\n */\n\nexport function lerp(out, a, b, t) {\n var mt = 1 - t;\n if (dot(a, b) < 0) t = -t;\n out[0] = a[0] * mt + b[0] * t;\n out[1] = a[1] * mt + b[1] * t;\n out[2] = a[2] * mt + b[2] * t;\n out[3] = a[3] * mt + b[3] * t;\n out[4] = a[4] * mt + b[4] * t;\n out[5] = a[5] * mt + b[5] * t;\n out[6] = a[6] * mt + b[6] * t;\n out[7] = a[7] * mt + b[7] * t;\n return out;\n}\n/**\n * Calculates the inverse of a dual quat. 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