import * as glMatrix from "./common.js"; /** * 4 Dimensional Vector * @module vec4 */ /** * Creates a new, empty vec4 * * @returns {vec4} a new 4D vector */ export function create() { var out = new glMatrix.ARRAY_TYPE(4); if (glMatrix.ARRAY_TYPE != Float32Array) { out[0] = 0; out[1] = 0; out[2] = 0; out[3] = 0; } return out; } /** * Creates a new vec4 initialized with values from an existing vector * * @param {ReadonlyVec4} a vector to clone * @returns {vec4} a new 4D vector */ export function clone(a) { var out = new glMatrix.ARRAY_TYPE(4); out[0] = a[0]; out[1] = a[1]; out[2] = a[2]; out[3] = a[3]; return out; } /** * Creates a new vec4 initialized with the given values * * @param {Number} x X component * @param {Number} y Y component * @param {Number} z Z component * @param {Number} w W component * @returns {vec4} a new 4D vector */ export function fromValues(x, y, z, w) { var out = new glMatrix.ARRAY_TYPE(4); out[0] = x; out[1] = y; out[2] = z; out[3] = w; return out; } /** * Copy the values from one vec4 to another * * @param {vec4} out the receiving vector * @param {ReadonlyVec4} a the source vector * @returns {vec4} out */ export function copy(out, a) { out[0] = a[0]; out[1] = a[1]; out[2] = a[2]; out[3] = a[3]; return out; } /** * Set the components of a vec4 to the given values * * @param {vec4} out the receiving vector * @param {Number} x X component * @param {Number} y Y component * @param {Number} z Z component * @param {Number} w W component * @returns {vec4} out */ export function set(out, x, y, z, w) { out[0] = x; out[1] = y; out[2] = z; out[3] = w; return out; } /** * Adds two vec4's * * @param {vec4} out the receiving vector * @param {ReadonlyVec4} a the first operand * @param {ReadonlyVec4} b the second operand * @returns {vec4} out */ export function add(out, a, b) { out[0] = a[0] + b[0]; out[1] = a[1] + b[1]; out[2] = a[2] + b[2]; out[3] = a[3] + b[3]; return out; } /** * Subtracts vector b from vector a * * @param {vec4} out the receiving vector * @param {ReadonlyVec4} a the first operand * @param {ReadonlyVec4} b the second operand * @returns {vec4} out */ export function subtract(out, a, b) { out[0] = a[0] - b[0]; out[1] = a[1] - b[1]; out[2] = a[2] - b[2]; out[3] = a[3] - b[3]; return out; } /** * Multiplies two vec4's * * @param {vec4} out the receiving vector * @param {ReadonlyVec4} a the first operand * @param {ReadonlyVec4} b the second operand * @returns {vec4} out */ export function multiply(out, a, b) { out[0] = a[0] * b[0]; out[1] = a[1] * b[1]; out[2] = a[2] * b[2]; out[3] = a[3] * b[3]; return out; } /** * Divides two vec4's * * @param {vec4} out the receiving vector * @param {ReadonlyVec4} a the first operand * @param {ReadonlyVec4} b the second operand * @returns {vec4} out */ export function divide(out, a, b) { out[0] = a[0] / b[0]; out[1] = a[1] / b[1]; out[2] = a[2] / b[2]; out[3] = a[3] / b[3]; return out; } /** * Math.ceil the components of a vec4 * * @param {vec4} out the receiving vector * @param {ReadonlyVec4} a vector to ceil * @returns {vec4} out */ export function ceil(out, a) { out[0] = Math.ceil(a[0]); out[1] = Math.ceil(a[1]); out[2] = Math.ceil(a[2]); out[3] = Math.ceil(a[3]); return out; } /** * Math.floor the components of a vec4 * * @param {vec4} out the receiving vector * @param {ReadonlyVec4} a vector to floor * @returns {vec4} out */ export function floor(out, a) { out[0] = Math.floor(a[0]); out[1] = Math.floor(a[1]); out[2] = Math.floor(a[2]); out[3] = Math.floor(a[3]); return out; } /** * Returns the minimum of two vec4's * * @param {vec4} out the receiving vector * @param {ReadonlyVec4} a the first operand * @param {ReadonlyVec4} b the second operand * @returns {vec4} out */ export function min(out, a, b) { out[0] = Math.min(a[0], b[0]); out[1] = Math.min(a[1], b[1]); out[2] = Math.min(a[2], b[2]); out[3] = Math.min(a[3], b[3]); return out; } /** * Returns the maximum of two vec4's * * @param {vec4} out the receiving vector * @param {ReadonlyVec4} a the first operand * @param {ReadonlyVec4} b the second operand * @returns {vec4} out */ export function max(out, a, b) { out[0] = Math.max(a[0], b[0]); out[1] = Math.max(a[1], b[1]); out[2] = Math.max(a[2], b[2]); out[3] = Math.max(a[3], b[3]); return out; } /** * Math.round the components of a vec4 * * @param {vec4} out the receiving vector * @param {ReadonlyVec4} a vector to round * @returns {vec4} out */ export function round(out, a) { out[0] = Math.round(a[0]); out[1] = Math.round(a[1]); out[2] = Math.round(a[2]); out[3] = Math.round(a[3]); return out; } /** * Scales a vec4 by a scalar number * * @param {vec4} out the receiving vector * @param {ReadonlyVec4} a the vector to scale * @param {Number} b amount to scale the vector by * @returns {vec4} out */ export function scale(out, a, b) { out[0] = a[0] * b; out[1] = a[1] * b; out[2] = a[2] * b; out[3] = a[3] * b; return out; } /** * Adds two vec4's after scaling the second operand by a scalar value * * @param {vec4} out the receiving vector * @param {ReadonlyVec4} a the first operand * @param {ReadonlyVec4} b the second operand * @param {Number} scale the amount to scale b by before adding * @returns {vec4} out */ export function scaleAndAdd(out, a, b, scale) { out[0] = a[0] + b[0] * scale; out[1] = a[1] + b[1] * scale; out[2] = a[2] + b[2] * scale; out[3] = a[3] + b[3] * scale; return out; } /** * Calculates the euclidian distance between two vec4's * * @param {ReadonlyVec4} a the first operand * @param {ReadonlyVec4} b the second operand * @returns {Number} distance between a and b */ export function distance(a, b) { var x = b[0] - a[0]; var y = b[1] - a[1]; var z = b[2] - a[2]; var w = b[3] - a[3]; return Math.hypot(x, y, z, w); } /** * Calculates the squared euclidian distance between two vec4's * * @param {ReadonlyVec4} a the first operand * @param {ReadonlyVec4} b the second operand * @returns {Number} squared distance between a and b */ export function squaredDistance(a, b) { var x = b[0] - a[0]; var y = b[1] - a[1]; var z = b[2] - a[2]; var w = b[3] - a[3]; return x * x + y * y + z * z + w * w; } /** * Calculates the length of a vec4 * * @param {ReadonlyVec4} a vector to calculate length of * @returns {Number} length of a */ export function length(a) { var x = a[0]; var y = a[1]; var z = a[2]; var w = a[3]; return Math.hypot(x, y, z, w); } /** * Calculates the squared length of a vec4 * * @param {ReadonlyVec4} a vector to calculate squared length of * @returns {Number} squared length of a */ export function squaredLength(a) { var x = a[0]; var y = a[1]; var z = a[2]; var w = a[3]; return x * x + y * y + z * z + w * w; } /** * Negates the components of a vec4 * * @param {vec4} out the receiving vector * @param {ReadonlyVec4} a vector to negate * @returns {vec4} out */ export function negate(out, a) { out[0] = -a[0]; out[1] = -a[1]; out[2] = -a[2]; out[3] = -a[3]; return out; } /** * Returns the inverse of the components of a vec4 * * @param {vec4} out the receiving vector * @param {ReadonlyVec4} a vector to invert * @returns {vec4} out */ export function inverse(out, a) { out[0] = 1.0 / a[0]; out[1] = 1.0 / a[1]; out[2] = 1.0 / a[2]; out[3] = 1.0 / a[3]; return out; } /** * Normalize a vec4 * * @param {vec4} out the receiving vector * @param {ReadonlyVec4} a vector to normalize * @returns {vec4} out */ export function normalize(out, a) { var x = a[0]; var y = a[1]; var z = a[2]; var w = a[3]; var len = x * x + y * y + z * z + w * w; if (len > 0) { len = 1 / Math.sqrt(len); } out[0] = x * len; out[1] = y * len; out[2] = z * len; out[3] = w * len; return out; } /** * Calculates the dot product of two vec4's * * @param {ReadonlyVec4} a the first operand * @param {ReadonlyVec4} b the second operand * @returns {Number} dot product of a and b */ export function dot(a, b) { return a[0] * b[0] + a[1] * b[1] + a[2] * b[2] + a[3] * b[3]; } /** * Returns the cross-product of three vectors in a 4-dimensional space * * @param {ReadonlyVec4} result the receiving vector * @param {ReadonlyVec4} U the first vector * @param {ReadonlyVec4} V the second vector * @param {ReadonlyVec4} W the third vector * @returns {vec4} result */ export function cross(out, u, v, w) { var A = v[0] * w[1] - v[1] * w[0], B = v[0] * w[2] - v[2] * w[0], C = v[0] * w[3] - v[3] * w[0], D = v[1] * w[2] - v[2] * w[1], E = v[1] * w[3] - v[3] * w[1], F = v[2] * w[3] - v[3] * w[2]; var G = u[0]; var H = u[1]; var I = u[2]; var J = u[3]; out[0] = H * F - I * E + J * D; out[1] = -(G * F) + I * C - J * B; out[2] = G * E - H * C + J * A; out[3] = -(G * D) + H * B - I * A; return out; } /** * Performs a linear interpolation between two vec4's * * @param {vec4} out the receiving vector * @param {ReadonlyVec4} a the first operand * @param {ReadonlyVec4} b the second operand * @param {Number} t interpolation amount, in the range [0-1], between the two inputs * @returns {vec4} out */ export function lerp(out, a, b, t) { var ax = a[0]; var ay = a[1]; var az = a[2]; var aw = a[3]; out[0] = ax + t * (b[0] - ax); out[1] = ay + t * (b[1] - ay); out[2] = az + t * (b[2] - az); out[3] = aw + t * (b[3] - aw); return out; } /** * Generates a random vector with the given scale * * @param {vec4} out the receiving vector * @param {Number} [scale] Length of the resulting vector. If ommitted, a unit vector will be returned * @returns {vec4} out */ export function random(out, scale) { scale = scale || 1.0; // Marsaglia, George. Choosing a Point from the Surface of a // Sphere. Ann. Math. Statist. 43 (1972), no. 2, 645--646. // http://projecteuclid.org/euclid.aoms/1177692644; var v1, v2, v3, v4; var s1, s2; do { v1 = glMatrix.RANDOM() * 2 - 1; v2 = glMatrix.RANDOM() * 2 - 1; s1 = v1 * v1 + v2 * v2; } while (s1 >= 1); do { v3 = glMatrix.RANDOM() * 2 - 1; v4 = glMatrix.RANDOM() * 2 - 1; s2 = v3 * v3 + v4 * v4; } while (s2 >= 1); var d = Math.sqrt((1 - s1) / s2); out[0] = scale * v1; out[1] = scale * v2; out[2] = scale * v3 * d; out[3] = scale * v4 * d; return out; } /** * Transforms the vec4 with a mat4. * * @param {vec4} out the receiving vector * @param {ReadonlyVec4} a the vector to transform * @param {ReadonlyMat4} m matrix to transform with * @returns {vec4} out */ export function transformMat4(out, a, m) { var x = a[0], y = a[1], z = a[2], w = a[3]; out[0] = m[0] * x + m[4] * y + m[8] * z + m[12] * w; out[1] = m[1] * x + m[5] * y + m[9] * z + m[13] * w; out[2] = m[2] * x + m[6] * y + m[10] * z + m[14] * w; out[3] = m[3] * x + m[7] * y + m[11] * z + m[15] * w; return out; } /** * Transforms the vec4 with a quat * * @param {vec4} out the receiving vector * @param {ReadonlyVec4} a the vector to transform * @param {ReadonlyQuat} q quaternion to transform with * @returns {vec4} out */ export function transformQuat(out, a, q) { var x = a[0], y = a[1], z = a[2]; var qx = q[0], qy = q[1], qz = q[2], qw = q[3]; // calculate quat * vec var ix = qw * x + qy * z - qz * y; var iy = qw * y + qz * x - qx * z; var iz = qw * z + qx * y - qy * x; var iw = -qx * x - qy * y - qz * z; // calculate result * inverse quat out[0] = ix * qw + iw * -qx + iy * -qz - iz * -qy; out[1] = iy * qw + iw * -qy + iz * -qx - ix * -qz; out[2] = iz * qw + iw * -qz + ix * -qy - iy * -qx; out[3] = a[3]; return out; } /** * Set the components of a vec4 to zero * * @param {vec4} out the receiving vector * @returns {vec4} out */ export function zero(out) { out[0] = 0.0; out[1] = 0.0; out[2] = 0.0; out[3] = 0.0; return out; } /** * Returns a string representation of a vector * * @param {ReadonlyVec4} a vector to represent as a string * @returns {String} string representation of the vector */ export function str(a) { return "vec4(" + a[0] + ", " + a[1] + ", " + a[2] + ", " + a[3] + ")"; } /** * Returns whether or not the vectors have exactly the same elements in the same position (when compared with ===) * * @param {ReadonlyVec4} a The first vector. * @param {ReadonlyVec4} b The second vector. * @returns {Boolean} True if the vectors are equal, false otherwise. */ export function exactEquals(a, b) { return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] && a[3] === b[3]; } /** * Returns whether or not the vectors have approximately the same elements in the same position. * * @param {ReadonlyVec4} a The first vector. * @param {ReadonlyVec4} b The second vector. * @returns {Boolean} True if the vectors are equal, false otherwise. */ export function equals(a, b) { var a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3]; var b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3]; 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)); } /** * Alias for {@link vec4.subtract} * @function */ export var sub = subtract; /** * Alias for {@link vec4.multiply} * @function */ export var mul = multiply; /** * Alias for {@link vec4.divide} * @function */ export var div = divide; /** * Alias for {@link vec4.distance} * @function */ export var dist = distance; /** * Alias for {@link vec4.squaredDistance} * @function */ export var sqrDist = squaredDistance; /** * Alias for {@link vec4.length} * @function */ export var len = length; /** * Alias for {@link vec4.squaredLength} * @function */ export var sqrLen = squaredLength; /** * Perform some operation over an array of vec4s. * * @param {Array} a the array of vectors to iterate over * @param {Number} stride Number of elements between the start of each vec4. If 0 assumes tightly packed * @param {Number} offset Number of elements to skip at the beginning of the array * @param {Number} count Number of vec4s to iterate over. If 0 iterates over entire array * @param {Function} fn Function to call for each vector in the array * @param {Object} [arg] additional argument to pass to fn * @returns {Array} a * @function */ export var forEach = function () { var vec = create(); return function (a, stride, offset, count, fn, arg) { var i, l; if (!stride) { stride = 4; } if (!offset) { offset = 0; } if (count) { l = Math.min(count * stride + offset, a.length); } else { l = a.length; } for (i = offset; i < l; i += stride) { vec[0] = a[i]; vec[1] = a[i + 1]; vec[2] = a[i + 2]; vec[3] = a[i + 3]; fn(vec, vec, arg); a[i] = vec[0]; a[i + 1] = vec[1]; a[i + 2] = vec[2]; a[i + 3] = vec[3]; } return a; }; }();