{"id":"../node_modules/@wufe/particles/node_modules/gl-matrix/esm/quat.js","dependencies":[{"name":"/Users/simonebembi/Projects/particles-liquid-system/package.json","includedInParent":true,"mtime":1586786861555},{"name":"/Users/simonebembi/Projects/particles-liquid-system/node_modules/@wufe/particles/node_modules/gl-matrix/package.json","includedInParent":true,"mtime":1586780889460},{"name":"./common.js","loc":{"line":1,"column":26},"parent":"/Users/simonebembi/Projects/particles-liquid-system/node_modules/@wufe/particles/node_modules/gl-matrix/esm/quat.js","resolved":"/Users/simonebembi/Projects/particles-liquid-system/node_modules/@wufe/particles/node_modules/gl-matrix/esm/common.js"},{"name":"./mat3.js","loc":{"line":2,"column":22},"parent":"/Users/simonebembi/Projects/particles-liquid-system/node_modules/@wufe/particles/node_modules/gl-matrix/esm/quat.js","resolved":"/Users/simonebembi/Projects/particles-liquid-system/node_modules/@wufe/particles/node_modules/gl-matrix/esm/mat3.js"},{"name":"./vec3.js","loc":{"line":3,"column":22},"parent":"/Users/simonebembi/Projects/particles-liquid-system/node_modules/@wufe/particles/node_modules/gl-matrix/esm/quat.js","resolved":"/Users/simonebembi/Projects/particles-liquid-system/node_modules/@wufe/particles/node_modules/gl-matrix/esm/vec3.js"},{"name":"./vec4.js","loc":{"line":4,"column":22},"parent":"/Users/simonebembi/Projects/particles-liquid-system/node_modules/@wufe/particles/node_modules/gl-matrix/esm/quat.js","resolved":"/Users/simonebembi/Projects/particles-liquid-system/node_modules/@wufe/particles/node_modules/gl-matrix/esm/vec4.js"}],"generated":{"js":"\"use strict\";\n\nObject.defineProperty(exports, \"__esModule\", {\n value: true\n});\nexports.create = create;\nexports.identity = identity;\nexports.setAxisAngle = setAxisAngle;\nexports.getAxisAngle = getAxisAngle;\nexports.getAngle = getAngle;\nexports.multiply = multiply;\nexports.rotateX = rotateX;\nexports.rotateY = rotateY;\nexports.rotateZ = rotateZ;\nexports.calculateW = calculateW;\nexports.exp = exp;\nexports.ln = ln;\nexports.pow = pow;\nexports.slerp = slerp;\nexports.random = random;\nexports.invert = invert;\nexports.conjugate = conjugate;\nexports.fromMat3 = fromMat3;\nexports.fromEuler = fromEuler;\nexports.str = str;\nexports.setAxes = exports.sqlerp = exports.rotationTo = exports.equals = exports.exactEquals = exports.normalize = exports.sqrLen = exports.squaredLength = exports.len = exports.length = exports.lerp = exports.dot = exports.scale = exports.mul = exports.add = exports.set = exports.copy = exports.fromValues = exports.clone = void 0;\n\nvar glMatrix = _interopRequireWildcard(require(\"./common.js\"));\n\nvar mat3 = _interopRequireWildcard(require(\"./mat3.js\"));\n\nvar vec3 = _interopRequireWildcard(require(\"./vec3.js\"));\n\nvar vec4 = _interopRequireWildcard(require(\"./vec4.js\"));\n\nfunction _getRequireWildcardCache() { if (typeof WeakMap !== \"function\") return null; var cache = new WeakMap(); _getRequireWildcardCache = function () { return cache; }; return cache; }\n\nfunction _interopRequireWildcard(obj) { if (obj && obj.__esModule) { return obj; } if (obj === null || typeof obj !== \"object\" && typeof obj !== \"function\") { return { default: obj }; } var cache = _getRequireWildcardCache(); if (cache && cache.has(obj)) { return cache.get(obj); } var newObj = {}; var hasPropertyDescriptor = Object.defineProperty && Object.getOwnPropertyDescriptor; for (var key in obj) { if (Object.prototype.hasOwnProperty.call(obj, key)) { var desc = hasPropertyDescriptor ? Object.getOwnPropertyDescriptor(obj, key) : null; if (desc && (desc.get || desc.set)) { Object.defineProperty(newObj, key, desc); } else { newObj[key] = obj[key]; } } } newObj.default = obj; if (cache) { cache.set(obj, newObj); } return newObj; }\n\n/**\r\n * Quaternion\r\n * @module quat\r\n */\n\n/**\r\n * Creates a new identity quat\r\n *\r\n * @returns {quat} a new quaternion\r\n */\nfunction create() {\n var out = new glMatrix.ARRAY_TYPE(4);\n\n if (glMatrix.ARRAY_TYPE != Float32Array) {\n out[0] = 0;\n out[1] = 0;\n out[2] = 0;\n }\n\n out[3] = 1;\n return out;\n}\n/**\r\n * Set a quat to the identity quaternion\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @returns {quat} out\r\n */\n\n\nfunction identity(out) {\n out[0] = 0;\n out[1] = 0;\n out[2] = 0;\n out[3] = 1;\n return out;\n}\n/**\r\n * Sets a quat from the given angle and rotation axis,\r\n * then returns it.\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyVec3} axis the axis around which to rotate\r\n * @param {Number} rad the angle in radians\r\n * @returns {quat} out\r\n **/\n\n\nfunction setAxisAngle(out, axis, rad) {\n rad = rad * 0.5;\n var s = Math.sin(rad);\n out[0] = s * axis[0];\n out[1] = s * axis[1];\n out[2] = s * axis[2];\n out[3] = Math.cos(rad);\n return out;\n}\n/**\r\n * Gets the rotation axis and angle for a given\r\n * quaternion. If a quaternion is created with\r\n * setAxisAngle, this method will return the same\r\n * values as providied in the original parameter list\r\n * OR functionally equivalent values.\r\n * Example: The quaternion formed by axis [0, 0, 1] and\r\n * angle -90 is the same as the quaternion formed by\r\n * [0, 0, 1] and 270. This method favors the latter.\r\n * @param {vec3} out_axis Vector receiving the axis of rotation\r\n * @param {ReadonlyQuat} q Quaternion to be decomposed\r\n * @return {Number} Angle, in radians, of the rotation\r\n */\n\n\nfunction getAxisAngle(out_axis, q) {\n var rad = Math.acos(q[3]) * 2.0;\n var s = Math.sin(rad / 2.0);\n\n if (s > glMatrix.EPSILON) {\n out_axis[0] = q[0] / s;\n out_axis[1] = q[1] / s;\n out_axis[2] = q[2] / s;\n } else {\n // If s is zero, return any axis (no rotation - axis does not matter)\n out_axis[0] = 1;\n out_axis[1] = 0;\n out_axis[2] = 0;\n }\n\n return rad;\n}\n/**\r\n * Gets the angular distance between two unit quaternions\r\n *\r\n * @param {ReadonlyQuat} a Origin unit quaternion\r\n * @param {ReadonlyQuat} b Destination unit quaternion\r\n * @return {Number} Angle, in radians, between the two quaternions\r\n */\n\n\nfunction getAngle(a, b) {\n var dotproduct = dot(a, b);\n return Math.acos(2 * dotproduct * dotproduct - 1);\n}\n/**\r\n * Multiplies two quat's\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a the first operand\r\n * @param {ReadonlyQuat} b the second operand\r\n * @returns {quat} out\r\n */\n\n\nfunction multiply(out, a, b) {\n var ax = a[0],\n ay = a[1],\n az = a[2],\n aw = a[3];\n var bx = b[0],\n by = b[1],\n bz = b[2],\n bw = b[3];\n out[0] = ax * bw + aw * bx + ay * bz - az * by;\n out[1] = ay * bw + aw * by + az * bx - ax * bz;\n out[2] = az * bw + aw * bz + ax * by - ay * bx;\n out[3] = aw * bw - ax * bx - ay * by - az * bz;\n return out;\n}\n/**\r\n * Rotates a quaternion by the given angle about the X axis\r\n *\r\n * @param {quat} out quat receiving operation result\r\n * @param {ReadonlyQuat} a quat to rotate\r\n * @param {number} rad angle (in radians) to rotate\r\n * @returns {quat} out\r\n */\n\n\nfunction rotateX(out, a, rad) {\n rad *= 0.5;\n var ax = a[0],\n ay = a[1],\n az = a[2],\n aw = a[3];\n var bx = Math.sin(rad),\n bw = Math.cos(rad);\n out[0] = ax * bw + aw * bx;\n out[1] = ay * bw + az * bx;\n out[2] = az * bw - ay * bx;\n out[3] = aw * bw - ax * bx;\n return out;\n}\n/**\r\n * Rotates a quaternion by the given angle about the Y axis\r\n *\r\n * @param {quat} out quat receiving operation result\r\n * @param {ReadonlyQuat} a quat to rotate\r\n * @param {number} rad angle (in radians) to rotate\r\n * @returns {quat} out\r\n */\n\n\nfunction rotateY(out, a, rad) {\n rad *= 0.5;\n var ax = a[0],\n ay = a[1],\n az = a[2],\n aw = a[3];\n var by = Math.sin(rad),\n bw = Math.cos(rad);\n out[0] = ax * bw - az * by;\n out[1] = ay * bw + aw * by;\n out[2] = az * bw + ax * by;\n out[3] = aw * bw - ay * by;\n return out;\n}\n/**\r\n * Rotates a quaternion by the given angle about the Z axis\r\n *\r\n * @param {quat} out quat receiving operation result\r\n * @param {ReadonlyQuat} a quat to rotate\r\n * @param {number} rad angle (in radians) to rotate\r\n * @returns {quat} out\r\n */\n\n\nfunction rotateZ(out, a, rad) {\n rad *= 0.5;\n var ax = a[0],\n ay = a[1],\n az = a[2],\n aw = a[3];\n var bz = Math.sin(rad),\n bw = Math.cos(rad);\n out[0] = ax * bw + ay * bz;\n out[1] = ay * bw - ax * bz;\n out[2] = az * bw + aw * bz;\n out[3] = aw * bw - az * bz;\n return out;\n}\n/**\r\n * Calculates the W component of a quat from the X, Y, and Z components.\r\n * Assumes that quaternion is 1 unit in length.\r\n * Any existing W component will be ignored.\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a quat to calculate W component of\r\n * @returns {quat} out\r\n */\n\n\nfunction calculateW(out, a) {\n var x = a[0],\n y = a[1],\n z = a[2];\n out[0] = x;\n out[1] = y;\n out[2] = z;\n out[3] = Math.sqrt(Math.abs(1.0 - x * x - y * y - z * z));\n return out;\n}\n/**\r\n * Calculate the exponential of a unit quaternion.\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a quat to calculate the exponential of\r\n * @returns {quat} out\r\n */\n\n\nfunction exp(out, a) {\n var x = a[0],\n y = a[1],\n z = a[2],\n w = a[3];\n var r = Math.sqrt(x * x + y * y + z * z);\n var et = Math.exp(w);\n var s = r > 0 ? et * Math.sin(r) / r : 0;\n out[0] = x * s;\n out[1] = y * s;\n out[2] = z * s;\n out[3] = et * Math.cos(r);\n return out;\n}\n/**\r\n * Calculate the natural logarithm of a unit quaternion.\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a quat to calculate the exponential of\r\n * @returns {quat} out\r\n */\n\n\nfunction ln(out, a) {\n var x = a[0],\n y = a[1],\n z = a[2],\n w = a[3];\n var r = Math.sqrt(x * x + y * y + z * z);\n var t = r > 0 ? Math.atan2(r, w) / r : 0;\n out[0] = x * t;\n out[1] = y * t;\n out[2] = z * t;\n out[3] = 0.5 * Math.log(x * x + y * y + z * z + w * w);\n return out;\n}\n/**\r\n * Calculate the scalar power of a unit quaternion.\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a quat to calculate the exponential of\r\n * @param {Number} b amount to scale the quaternion by\r\n * @returns {quat} out\r\n */\n\n\nfunction pow(out, a, b) {\n ln(out, a);\n scale(out, out, b);\n exp(out, out);\n return out;\n}\n/**\r\n * Performs a spherical linear interpolation between two quat\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a the first operand\r\n * @param {ReadonlyQuat} b the second operand\r\n * @param {Number} t interpolation amount, in the range [0-1], between the two inputs\r\n * @returns {quat} out\r\n */\n\n\nfunction slerp(out, a, b, t) {\n // benchmarks:\n // http://jsperf.com/quaternion-slerp-implementations\n var ax = a[0],\n ay = a[1],\n az = a[2],\n aw = a[3];\n var bx = b[0],\n by = b[1],\n bz = b[2],\n bw = b[3];\n var omega, cosom, sinom, scale0, scale1; // calc cosine\n\n cosom = ax * bx + ay * by + az * bz + aw * bw; // adjust signs (if necessary)\n\n if (cosom < 0.0) {\n cosom = -cosom;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n } // calculate coefficients\n\n\n if (1.0 - cosom > glMatrix.EPSILON) {\n // standard case (slerp)\n omega = Math.acos(cosom);\n sinom = Math.sin(omega);\n scale0 = Math.sin((1.0 - t) * omega) / sinom;\n scale1 = Math.sin(t * omega) / sinom;\n } else {\n // \"from\" and \"to\" quaternions are very close\n // ... so we can do a linear interpolation\n scale0 = 1.0 - t;\n scale1 = t;\n } // calculate final values\n\n\n out[0] = scale0 * ax + scale1 * bx;\n out[1] = scale0 * ay + scale1 * by;\n out[2] = scale0 * az + scale1 * bz;\n out[3] = scale0 * aw + scale1 * bw;\n return out;\n}\n/**\r\n * Generates a random unit quaternion\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @returns {quat} out\r\n */\n\n\nfunction random(out) {\n // Implementation of http://planning.cs.uiuc.edu/node198.html\n // TODO: Calling random 3 times is probably not the fastest solution\n var u1 = glMatrix.RANDOM();\n var u2 = glMatrix.RANDOM();\n var u3 = glMatrix.RANDOM();\n var sqrt1MinusU1 = Math.sqrt(1 - u1);\n var sqrtU1 = Math.sqrt(u1);\n out[0] = sqrt1MinusU1 * Math.sin(2.0 * Math.PI * u2);\n out[1] = sqrt1MinusU1 * Math.cos(2.0 * Math.PI * u2);\n out[2] = sqrtU1 * Math.sin(2.0 * Math.PI * u3);\n out[3] = sqrtU1 * Math.cos(2.0 * Math.PI * u3);\n return out;\n}\n/**\r\n * Calculates the inverse of a quat\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a quat to calculate inverse of\r\n * @returns {quat} out\r\n */\n\n\nfunction invert(out, a) {\n var a0 = a[0],\n a1 = a[1],\n a2 = a[2],\n a3 = a[3];\n var dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n var invDot = dot ? 1.0 / dot : 0; // TODO: Would be faster to return [0,0,0,0] immediately if dot == 0\n\n out[0] = -a0 * invDot;\n out[1] = -a1 * invDot;\n out[2] = -a2 * invDot;\n out[3] = a3 * invDot;\n return out;\n}\n/**\r\n * Calculates the conjugate of a quat\r\n * If the quaternion is normalized, this function is faster than quat.inverse and produces the same result.\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a quat to calculate conjugate of\r\n * @returns {quat} out\r\n */\n\n\nfunction conjugate(out, a) {\n out[0] = -a[0];\n out[1] = -a[1];\n out[2] = -a[2];\n out[3] = a[3];\n return out;\n}\n/**\r\n * Creates a quaternion from the given 3x3 rotation matrix.\r\n *\r\n * NOTE: The resultant quaternion is not normalized, so you should be sure\r\n * to renormalize the quaternion yourself where necessary.\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyMat3} m rotation matrix\r\n * @returns {quat} out\r\n * @function\r\n */\n\n\nfunction fromMat3(out, m) {\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n var fTrace = m[0] + m[4] + m[8];\n var fRoot;\n\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\n return out;\n}\n/**\r\n * Creates a quaternion from the given euler angle x, y, z.\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {x} Angle to rotate around X axis in degrees.\r\n * @param {y} Angle to rotate around Y axis in degrees.\r\n * @param {z} Angle to rotate around Z axis in degrees.\r\n * @returns {quat} out\r\n * @function\r\n */\n\n\nfunction fromEuler(out, x, y, z) {\n var halfToRad = 0.5 * Math.PI / 180.0;\n x *= halfToRad;\n y *= halfToRad;\n z *= halfToRad;\n var sx = Math.sin(x);\n var cx = Math.cos(x);\n var sy = Math.sin(y);\n var cy = Math.cos(y);\n var sz = Math.sin(z);\n var cz = Math.cos(z);\n out[0] = sx * cy * cz - cx * sy * sz;\n out[1] = cx * sy * cz + sx * cy * sz;\n out[2] = cx * cy * sz - sx * sy * cz;\n out[3] = cx * cy * cz + sx * sy * sz;\n return out;\n}\n/**\r\n * Returns a string representation of a quatenion\r\n *\r\n * @param {ReadonlyQuat} a vector to represent as a string\r\n * @returns {String} string representation of the vector\r\n */\n\n\nfunction str(a) {\n return \"quat(\" + a[0] + \", \" + a[1] + \", \" + a[2] + \", \" + a[3] + \")\";\n}\n/**\r\n * Creates a new quat initialized with values from an existing quaternion\r\n *\r\n * @param {ReadonlyQuat} a quaternion to clone\r\n * @returns {quat} a new quaternion\r\n * @function\r\n */\n\n\nvar clone = vec4.clone;\n/**\r\n * Creates a new quat initialized with the given values\r\n *\r\n * @param {Number} x X component\r\n * @param {Number} y Y component\r\n * @param {Number} z Z component\r\n * @param {Number} w W component\r\n * @returns {quat} a new quaternion\r\n * @function\r\n */\n\nexports.clone = clone;\nvar fromValues = vec4.fromValues;\n/**\r\n * Copy the values from one quat to another\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a the source quaternion\r\n * @returns {quat} out\r\n * @function\r\n */\n\nexports.fromValues = fromValues;\nvar copy = vec4.copy;\n/**\r\n * Set the components of a quat to the given values\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {Number} x X component\r\n * @param {Number} y Y component\r\n * @param {Number} z Z component\r\n * @param {Number} w W component\r\n * @returns {quat} out\r\n * @function\r\n */\n\nexports.copy = copy;\nvar set = vec4.set;\n/**\r\n * Adds two quat's\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a the first operand\r\n * @param {ReadonlyQuat} b the second operand\r\n * @returns {quat} out\r\n * @function\r\n */\n\nexports.set = set;\nvar add = vec4.add;\n/**\r\n * Alias for {@link quat.multiply}\r\n * @function\r\n */\n\nexports.add = add;\nvar mul = multiply;\n/**\r\n * Scales a quat by a scalar number\r\n *\r\n * @param {quat} out the receiving vector\r\n * @param {ReadonlyQuat} a the vector to scale\r\n * @param {Number} b amount to scale the vector by\r\n * @returns {quat} out\r\n * @function\r\n */\n\nexports.mul = mul;\nvar scale = vec4.scale;\n/**\r\n * Calculates the dot product of two quat's\r\n *\r\n * @param {ReadonlyQuat} a the first operand\r\n * @param {ReadonlyQuat} b the second operand\r\n * @returns {Number} dot product of a and b\r\n * @function\r\n */\n\nexports.scale = scale;\nvar dot = vec4.dot;\n/**\r\n * Performs a linear interpolation between two quat's\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a the first operand\r\n * @param {ReadonlyQuat} b the second operand\r\n * @param {Number} t interpolation amount, in the range [0-1], between the two inputs\r\n * @returns {quat} out\r\n * @function\r\n */\n\nexports.dot = dot;\nvar lerp = vec4.lerp;\n/**\r\n * Calculates the length of a quat\r\n *\r\n * @param {ReadonlyQuat} a vector to calculate length of\r\n * @returns {Number} length of a\r\n */\n\nexports.lerp = lerp;\nvar length = vec4.length;\n/**\r\n * Alias for {@link quat.length}\r\n * @function\r\n */\n\nexports.length = length;\nvar len = length;\n/**\r\n * Calculates the squared length of a quat\r\n *\r\n * @param {ReadonlyQuat} a vector to calculate squared length of\r\n * @returns {Number} squared length of a\r\n * 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{quat} out\r\n **/\n\nexport function setAxisAngle(out, axis, rad) {\n rad = rad * 0.5;\n var s = Math.sin(rad);\n out[0] = s * axis[0];\n out[1] = s * axis[1];\n out[2] = s * axis[2];\n out[3] = Math.cos(rad);\n return out;\n}\n/**\r\n * Gets the rotation axis and angle for a given\r\n * quaternion. If a quaternion is created with\r\n * setAxisAngle, this method will return the same\r\n * values as providied in the original parameter list\r\n * OR functionally equivalent values.\r\n * Example: The quaternion formed by axis [0, 0, 1] and\r\n * angle -90 is the same as the quaternion formed by\r\n * [0, 0, 1] and 270. This method favors the latter.\r\n * @param {vec3} out_axis Vector receiving the axis of rotation\r\n * @param {ReadonlyQuat} q Quaternion to be decomposed\r\n * @return {Number} Angle, in radians, of the rotation\r\n */\n\nexport function getAxisAngle(out_axis, q) {\n var rad = Math.acos(q[3]) * 2.0;\n var s = Math.sin(rad / 2.0);\n\n if (s > glMatrix.EPSILON) {\n out_axis[0] = q[0] / s;\n out_axis[1] = q[1] / s;\n out_axis[2] = q[2] / s;\n } else {\n // If s is zero, return any axis (no rotation - axis does not matter)\n out_axis[0] = 1;\n out_axis[1] = 0;\n out_axis[2] = 0;\n }\n\n return rad;\n}\n/**\r\n * Gets the angular distance between two unit quaternions\r\n *\r\n * @param {ReadonlyQuat} a Origin unit quaternion\r\n * @param {ReadonlyQuat} b Destination unit quaternion\r\n * @return {Number} Angle, in radians, between the two quaternions\r\n */\n\nexport function getAngle(a, b) {\n var dotproduct = dot(a, b);\n return Math.acos(2 * dotproduct * dotproduct - 1);\n}\n/**\r\n * Multiplies two quat's\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a the first operand\r\n * @param {ReadonlyQuat} b the second operand\r\n * @returns {quat} out\r\n */\n\nexport function multiply(out, a, b) {\n var ax = a[0],\n ay = a[1],\n az = a[2],\n aw = a[3];\n var bx = b[0],\n by = b[1],\n bz = b[2],\n bw = b[3];\n out[0] = ax * bw + aw * bx + ay * bz - az * by;\n out[1] = ay * bw + aw * by + az * bx - ax * bz;\n out[2] = az * bw + aw * bz + ax * by - ay * bx;\n out[3] = aw * bw - ax * bx - ay * by - az * bz;\n return out;\n}\n/**\r\n * Rotates a quaternion by the given angle about the X axis\r\n *\r\n * @param {quat} out quat receiving operation result\r\n * @param {ReadonlyQuat} a quat to rotate\r\n * @param {number} rad angle (in radians) to rotate\r\n * @returns {quat} out\r\n */\n\nexport function rotateX(out, a, rad) {\n rad *= 0.5;\n var ax = a[0],\n ay = a[1],\n az = a[2],\n aw = a[3];\n var bx = Math.sin(rad),\n bw = Math.cos(rad);\n out[0] = ax * bw + aw * bx;\n out[1] = ay * bw + az * bx;\n out[2] = az * bw - ay * bx;\n out[3] = aw * bw - ax * bx;\n return out;\n}\n/**\r\n * Rotates a quaternion by the given angle about the Y axis\r\n *\r\n * @param {quat} out quat receiving operation result\r\n * @param {ReadonlyQuat} a quat to rotate\r\n * @param {number} rad angle (in radians) to rotate\r\n * @returns {quat} out\r\n */\n\nexport function rotateY(out, a, rad) {\n rad *= 0.5;\n var ax = a[0],\n ay = a[1],\n az = a[2],\n aw = a[3];\n var by = Math.sin(rad),\n bw = Math.cos(rad);\n out[0] = ax * bw - az * by;\n out[1] = ay * bw + aw * by;\n out[2] = az * bw + ax * by;\n out[3] = aw * bw - ay * by;\n return out;\n}\n/**\r\n * Rotates a quaternion by the given angle about the Z axis\r\n *\r\n * @param {quat} out quat receiving operation result\r\n * @param {ReadonlyQuat} a quat to rotate\r\n * @param {number} rad angle (in radians) to rotate\r\n * @returns {quat} out\r\n */\n\nexport function rotateZ(out, a, rad) {\n rad *= 0.5;\n var ax = a[0],\n ay = a[1],\n az = a[2],\n aw = a[3];\n var bz = Math.sin(rad),\n bw = Math.cos(rad);\n out[0] = ax * bw + ay * bz;\n out[1] = ay * bw - ax * bz;\n out[2] = az * bw + aw * bz;\n out[3] = aw * bw - az * bz;\n return out;\n}\n/**\r\n * Calculates the W component of a quat from the X, Y, and Z components.\r\n * Assumes that quaternion is 1 unit in length.\r\n * Any existing W component will be ignored.\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a quat to calculate W component of\r\n * @returns {quat} out\r\n */\n\nexport function calculateW(out, a) {\n var x = a[0],\n y = a[1],\n z = a[2];\n out[0] = x;\n out[1] = y;\n out[2] = z;\n out[3] = Math.sqrt(Math.abs(1.0 - x * x - y * y - z * z));\n return out;\n}\n/**\r\n * Calculate the exponential of a unit quaternion.\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a quat to calculate the exponential of\r\n * @returns {quat} out\r\n */\n\nexport function exp(out, a) {\n var x = a[0],\n y = a[1],\n z = a[2],\n w = a[3];\n var r = Math.sqrt(x * x + y * y + z * z);\n var et = Math.exp(w);\n var s = r > 0 ? et * Math.sin(r) / r : 0;\n out[0] = x * s;\n out[1] = y * s;\n out[2] = z * s;\n out[3] = et * Math.cos(r);\n return out;\n}\n/**\r\n * Calculate the natural logarithm of a unit quaternion.\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a quat to calculate the exponential of\r\n * @returns {quat} out\r\n */\n\nexport function ln(out, a) {\n var x = a[0],\n y = a[1],\n z = a[2],\n w = a[3];\n var r = Math.sqrt(x * x + y * y + z * z);\n var t = r > 0 ? Math.atan2(r, w) / r : 0;\n out[0] = x * t;\n out[1] = y * t;\n out[2] = z * t;\n out[3] = 0.5 * Math.log(x * x + y * y + z * z + w * w);\n return out;\n}\n/**\r\n * Calculate the scalar power of a unit quaternion.\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a quat to calculate the exponential of\r\n * @param {Number} b amount to scale the quaternion by\r\n * @returns {quat} out\r\n */\n\nexport function pow(out, a, b) {\n ln(out, a);\n scale(out, out, b);\n exp(out, out);\n return out;\n}\n/**\r\n * Performs a spherical linear interpolation between two quat\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a the first operand\r\n * @param {ReadonlyQuat} b the second operand\r\n * @param {Number} t interpolation amount, in the range [0-1], between the two inputs\r\n * @returns {quat} out\r\n */\n\nexport function slerp(out, a, b, t) {\n // benchmarks:\n // http://jsperf.com/quaternion-slerp-implementations\n var ax = a[0],\n ay = a[1],\n az = a[2],\n aw = a[3];\n var bx = b[0],\n by = b[1],\n bz = b[2],\n bw = b[3];\n var omega, cosom, sinom, scale0, scale1; // calc cosine\n\n cosom = ax * bx + ay * by + az * bz + aw * bw; // adjust signs (if necessary)\n\n if (cosom < 0.0) {\n cosom = -cosom;\n bx = -bx;\n by = -by;\n bz = -bz;\n bw = -bw;\n } // calculate coefficients\n\n\n if (1.0 - cosom > glMatrix.EPSILON) {\n // standard case (slerp)\n omega = Math.acos(cosom);\n sinom = Math.sin(omega);\n scale0 = Math.sin((1.0 - t) * omega) / sinom;\n scale1 = Math.sin(t * omega) / sinom;\n } else {\n // \"from\" and \"to\" quaternions are very close\n // ... so we can do a linear interpolation\n scale0 = 1.0 - t;\n scale1 = t;\n } // calculate final values\n\n\n out[0] = scale0 * ax + scale1 * bx;\n out[1] = scale0 * ay + scale1 * by;\n out[2] = scale0 * az + scale1 * bz;\n out[3] = scale0 * aw + scale1 * bw;\n return out;\n}\n/**\r\n * Generates a random unit quaternion\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @returns {quat} out\r\n */\n\nexport function random(out) {\n // Implementation of http://planning.cs.uiuc.edu/node198.html\n // TODO: Calling random 3 times is probably not the fastest solution\n var u1 = glMatrix.RANDOM();\n var u2 = glMatrix.RANDOM();\n var u3 = glMatrix.RANDOM();\n var sqrt1MinusU1 = Math.sqrt(1 - u1);\n var sqrtU1 = Math.sqrt(u1);\n out[0] = sqrt1MinusU1 * Math.sin(2.0 * Math.PI * u2);\n out[1] = sqrt1MinusU1 * Math.cos(2.0 * Math.PI * u2);\n out[2] = sqrtU1 * Math.sin(2.0 * Math.PI * u3);\n out[3] = sqrtU1 * Math.cos(2.0 * Math.PI * u3);\n return out;\n}\n/**\r\n * Calculates the inverse of a quat\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a quat to calculate inverse of\r\n * @returns {quat} out\r\n */\n\nexport function invert(out, a) {\n var a0 = a[0],\n a1 = a[1],\n a2 = a[2],\n a3 = a[3];\n var dot = a0 * a0 + a1 * a1 + a2 * a2 + a3 * a3;\n var invDot = dot ? 1.0 / dot : 0; // TODO: Would be faster to return [0,0,0,0] immediately if dot == 0\n\n out[0] = -a0 * invDot;\n out[1] = -a1 * invDot;\n out[2] = -a2 * invDot;\n out[3] = a3 * invDot;\n return out;\n}\n/**\r\n * Calculates the conjugate of a quat\r\n * If the quaternion is normalized, this function is faster than quat.inverse and produces the same result.\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a quat to calculate conjugate of\r\n * @returns {quat} out\r\n */\n\nexport function conjugate(out, a) {\n out[0] = -a[0];\n out[1] = -a[1];\n out[2] = -a[2];\n out[3] = a[3];\n return out;\n}\n/**\r\n * Creates a quaternion from the given 3x3 rotation matrix.\r\n *\r\n * NOTE: The resultant quaternion is not normalized, so you should be sure\r\n * to renormalize the quaternion yourself where necessary.\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyMat3} m rotation matrix\r\n * @returns {quat} out\r\n * @function\r\n */\n\nexport function fromMat3(out, m) {\n // Algorithm in Ken Shoemake's article in 1987 SIGGRAPH course notes\n // article \"Quaternion Calculus and Fast Animation\".\n var fTrace = m[0] + m[4] + m[8];\n var fRoot;\n\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\n return out;\n}\n/**\r\n * Creates a quaternion from the given euler angle x, y, z.\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {x} Angle to rotate around X axis in degrees.\r\n * @param {y} Angle to rotate around Y axis in degrees.\r\n * @param {z} Angle to rotate around Z axis in degrees.\r\n * @returns {quat} out\r\n * @function\r\n */\n\nexport function fromEuler(out, x, y, z) {\n var halfToRad = 0.5 * Math.PI / 180.0;\n x *= halfToRad;\n y *= halfToRad;\n z *= halfToRad;\n var sx = Math.sin(x);\n var cx = Math.cos(x);\n var sy = Math.sin(y);\n var cy = Math.cos(y);\n var sz = Math.sin(z);\n var cz = Math.cos(z);\n out[0] = sx * cy * cz - cx * sy * sz;\n out[1] = cx * sy * cz + sx * cy * sz;\n out[2] = cx * cy * sz - sx * sy * cz;\n out[3] = cx * cy * cz + sx * sy * sz;\n return out;\n}\n/**\r\n * Returns a string representation of a quatenion\r\n *\r\n * @param {ReadonlyQuat} a vector to represent as a string\r\n * @returns {String} string representation of the vector\r\n */\n\nexport function str(a) {\n return \"quat(\" + a[0] + \", \" + a[1] + \", \" + a[2] + \", \" + a[3] + \")\";\n}\n/**\r\n * Creates a new quat initialized with values from an existing quaternion\r\n *\r\n * @param {ReadonlyQuat} a quaternion to clone\r\n * @returns {quat} a new quaternion\r\n * @function\r\n */\n\nexport var clone = vec4.clone;\n/**\r\n * Creates a new quat initialized with the given values\r\n *\r\n * @param {Number} x X component\r\n * @param {Number} y Y component\r\n * @param {Number} z Z component\r\n * @param {Number} w W component\r\n * @returns {quat} a new quaternion\r\n * @function\r\n */\n\nexport var fromValues = vec4.fromValues;\n/**\r\n * Copy the values from one quat to another\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a the source quaternion\r\n * @returns {quat} out\r\n * @function\r\n */\n\nexport var copy = vec4.copy;\n/**\r\n * Set the components of a quat to the given values\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {Number} x X component\r\n * @param {Number} y Y component\r\n * @param {Number} z Z component\r\n * @param {Number} w W component\r\n * @returns {quat} out\r\n * @function\r\n */\n\nexport var set = vec4.set;\n/**\r\n * Adds two quat's\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a the first operand\r\n * @param {ReadonlyQuat} b the second operand\r\n * @returns {quat} out\r\n * @function\r\n */\n\nexport var add = vec4.add;\n/**\r\n * Alias for {@link quat.multiply}\r\n * @function\r\n */\n\nexport var mul = multiply;\n/**\r\n * Scales a quat by a scalar number\r\n *\r\n * @param {quat} out the receiving vector\r\n * @param {ReadonlyQuat} a the vector to scale\r\n * @param {Number} b amount to scale the vector by\r\n * @returns {quat} out\r\n * @function\r\n */\n\nexport var scale = vec4.scale;\n/**\r\n * Calculates the dot product of two quat's\r\n *\r\n * @param {ReadonlyQuat} a the first operand\r\n * @param {ReadonlyQuat} b the second operand\r\n * @returns {Number} dot product of a and b\r\n * @function\r\n */\n\nexport var dot = vec4.dot;\n/**\r\n * Performs a linear interpolation between two quat's\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a the first operand\r\n * @param {ReadonlyQuat} b the second operand\r\n * @param {Number} t interpolation amount, in the range [0-1], between the two inputs\r\n * @returns {quat} out\r\n * @function\r\n */\n\nexport var lerp = vec4.lerp;\n/**\r\n * Calculates the length of a quat\r\n *\r\n * @param {ReadonlyQuat} a vector to calculate length of\r\n * @returns {Number} length of a\r\n */\n\nexport var length = vec4.length;\n/**\r\n * Alias for {@link quat.length}\r\n * @function\r\n */\n\nexport var len = length;\n/**\r\n * Calculates the squared length of a quat\r\n *\r\n * @param {ReadonlyQuat} a vector to calculate squared length of\r\n * @returns {Number} squared length of a\r\n * @function\r\n */\n\nexport var squaredLength = vec4.squaredLength;\n/**\r\n * Alias for {@link quat.squaredLength}\r\n * @function\r\n */\n\nexport var sqrLen = squaredLength;\n/**\r\n * Normalize a quat\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a quaternion to normalize\r\n * @returns {quat} out\r\n * @function\r\n */\n\nexport var normalize = vec4.normalize;\n/**\r\n * Returns whether or not the quaternions have exactly the same elements in the same position (when compared with ===)\r\n *\r\n * @param {ReadonlyQuat} a The first quaternion.\r\n * @param {ReadonlyQuat} b The second quaternion.\r\n * @returns {Boolean} True if the vectors are equal, false otherwise.\r\n */\n\nexport var exactEquals = vec4.exactEquals;\n/**\r\n * Returns whether or not the quaternions have approximately the same elements in the same position.\r\n *\r\n * @param {ReadonlyQuat} a The first vector.\r\n * @param {ReadonlyQuat} b The second vector.\r\n * @returns {Boolean} True if the vectors are equal, false otherwise.\r\n */\n\nexport var equals = vec4.equals;\n/**\r\n * Sets a quaternion to represent the shortest rotation from one\r\n * vector to another.\r\n *\r\n * Both vectors are assumed to be unit length.\r\n *\r\n * @param {quat} out the receiving quaternion.\r\n * @param {ReadonlyVec3} a the initial vector\r\n * @param {ReadonlyVec3} b the destination vector\r\n * @returns {quat} out\r\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\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/**\r\n * Performs a spherical linear interpolation with two control points\r\n *\r\n * @param {quat} out the receiving quaternion\r\n * @param {ReadonlyQuat} a the first operand\r\n * @param {ReadonlyQuat} b the second operand\r\n * @param {ReadonlyQuat} c the third operand\r\n * @param {ReadonlyQuat} d the fourth operand\r\n * @param {Number} t interpolation amount, in the range [0-1], between the two inputs\r\n * @returns {quat} out\r\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/**\r\n * Sets the specified quaternion with values corresponding to the given\r\n * axes. Each axis is a vec3 and is expected to be unit length and\r\n * perpendicular to all other specified axes.\r\n *\r\n * @param {ReadonlyVec3} view the vector representing the viewing direction\r\n * @param {ReadonlyVec3} right the vector representing the local \"right\" direction\r\n * @param {ReadonlyVec3} up the vector representing the local \"up\" direction\r\n * @returns {quat} out\r\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}();"},"lineCount":null}},"error":null,"hash":"4c9f0e2161c541b02c0811657a0d54a5","cacheData":{"env":{}}}