diff --git a/gl-matrix/gl-matrix-typed-tests.ts b/gl-matrix/gl-matrix-typed-tests.ts new file mode 100644 index 0000000000..7364ec0a83 --- /dev/null +++ b/gl-matrix/gl-matrix-typed-tests.ts @@ -0,0 +1,346 @@ +/// + +// common +import {vec2, mat2, mat3, mat4, vec3, vec4, glMatrix, mat2d, quat} from "./gl-matrix-typed"; +var result: number = glMatrix.toRadian(180); + +var outVal: number; +var outBool: boolean; +var outStr: string; + +let vecArray = new Float32Array([1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12]); + +let vec2A = vec2.fromValues(1, 2); +let vec2B = vec2.fromValues(3, 4); +let vec3A = vec3.fromValues(1, 2, 3); +let vec3B = vec3.fromValues(3, 4, 5); +let vec4A = vec4.fromValues(1, 2, 3, 4); +let vec4B = vec4.fromValues(3, 4, 5, 6); +let mat2A = mat2.fromValues(1, 2, 3, 4); +let mat2B = mat2.fromValues(1, 2, 3, 4); +let mat2dA = mat2d.fromValues(1, 2, 3, 4, 5, 6); +let mat2dB = mat2d.fromValues(1, 2, 3, 4, 5, 6); +let mat3A = mat3.fromValues(1, 2, 3, 4, 5, 6, 7, 8, 9); +let mat3B = mat3.fromValues(1, 2, 3, 4, 5, 6, 7, 8, 9); +let mat4A = mat4.fromValues(1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16); +let mat4B = mat4.fromValues(1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16); +let quatA = quat.fromValues(1, 2, 3, 4); +let quatB = quat.fromValues(5, 6, 7, 8); + +let outVec2 = vec2.create(); +let outVec3 = vec3.create(); +let outVec4 = vec4.create(); +let outMat2 = mat2.create(); +let outMat2d = mat2d.create(); +let outMat3 = mat3.create(); +let outMat4 = mat4.create(); +let outQuat = quat.create(); + +// vec2 +outVec2 = vec2.create(); +outVec2 = vec2.clone(vec2A); +outVec2 = vec2.fromValues(1, 2); +outVec2 = vec2.copy(outVec2, vec2A); +outVec2 = vec2.set(outVec2, 1, 2); +outVec2 = vec2.add(outVec2, vec2A, vec2B); +outVec2 = vec2.subtract(outVec2, vec2A, vec2B); +outVec2 = vec2.sub(outVec2, vec2A, vec2B); +outVec2 = vec2.multiply(outVec2, vec2A, vec2B); +outVec2 = vec2.mul(outVec2, vec2A, vec2B); +outVec2 = vec2.divide(outVec2, vec2A, vec2B); +outVec2 = vec2.div(outVec2, vec2A, vec2B); +outVec2 = vec2.ceil(outVec2, vec2A); +outVec2 = vec2.floor(outVec2, vec2A); +outVec2 = vec2.min(outVec2, vec2A, vec2B); +outVec2 = vec2.max(outVec2, vec2A, vec2B); +outVec2 = vec2.round(outVec2, vec2A); +outVec2 = vec2.scale(outVec2, vec2A, 2); +outVec2 = vec2.scaleAndAdd(outVec2, vec2A, vec2B, 0.5); +outVal = vec2.distance(vec2A, vec2B); +outVal = vec2.dist(vec2A, vec2B); +outVal = vec2.squaredDistance(vec2A, vec2B); +outVal = vec2.sqrDist(vec2A, vec2B); +outVal = vec2.length(vec2A); +outVal = vec2.len(vec2A); +outVal = vec2.squaredLength(vec2A); +outVal = vec2.sqrLen(vec2A); +outVec2 = vec2.negate(outVec2, vec2A); +outVec2 = vec2.inverse(outVec2, vec2A); +outVec2 = vec2.normalize(outVec2, vec2A); +outVal = vec2.dot(vec2A, vec2B); +outVec2 = vec2.cross(outVec2, vec2A, vec2B); +outVec2 = vec2.lerp(outVec2, vec2A, vec2B, 0.5); +outVec2 = vec2.random(outVec2); +outVec2 = vec2.random(outVec2, 5.0); +outVec2 = vec2.transformMat2(outVec2, vec2A, mat2A); +outVec2 = vec2.transformMat2d(outVec2, vec2A, mat2dA); +outVec2 = vec2.transformMat3(outVec2, vec2A, mat3A); +outVec2 = vec2.transformMat4(outVec2, vec2A, mat4A); +vecArray = vec2.forEach(vecArray, 0, 0, 0, vec2.normalize); +outStr = vec2.str(vec2A); +outBool = vec2.exactEquals(vec2A, vec2B); +outBool = vec2.equals(vec2A, vec2B); + +// vec3 +outVec3 = vec3.create(); +outVec3 = vec3.clone(vec3A); +outVec3 = vec3.fromValues(1, 2, 3); +outVec3 = vec3.copy(outVec3, vec3A); +outVec3 = vec3.set(outVec3, 1, 2, 3); +outVec3 = vec3.add(outVec3, vec3A, vec3B); +outVec3 = vec3.subtract(outVec3, vec3A, vec3B); +outVec3 = vec3.sub(outVec3, vec3A, vec3B); +outVec3 = vec3.multiply(outVec3, vec3A, vec3B); +outVec3 = vec3.mul(outVec3, vec3A, vec3B); +outVec3 = vec3.divide(outVec3, vec3A, vec3B); +outVec3 = vec3.div(outVec3, vec3A, vec3B); +outVec3 = vec3.ceil(outVec3, vec3A); +outVec3 = vec3.floor(outVec3, vec3A); +outVec3 = vec3.min(outVec3, vec3A, vec3B); +outVec3 = vec3.max(outVec3, vec3A, vec3B); +outVec3 = vec3.round(outVec3, vec3A); +outVec3 = vec3.scale(outVec3, vec3A, 2); +outVec3 = vec3.scaleAndAdd(outVec3, vec3A, vec3B, 0.5); +outVal = vec3.distance(vec3A, vec3B); +outVal = vec3.dist(vec3A, vec3B); +outVal = vec3.squaredDistance(vec3A, vec3B); +outVal = vec3.sqrDist(vec3A, vec3B); +outVal = vec3.length(vec3A); +outVal = vec3.len(vec3A); +outVal = vec3.squaredLength(vec3A); +outVal = vec3.sqrLen(vec3A); +outVec3 = vec3.negate(outVec3, vec3A); +outVec3 = vec3.inverse(outVec3, vec3A); +outVec3 = vec3.normalize(outVec3, vec3A); +outVal = vec3.dot(vec3A, vec3B); +outVec3 = vec3.cross(outVec3, vec3A, vec3B); +outVec3 = vec3.lerp(outVec3, vec3A, vec3B, 0.5); +outVec3 = vec3.hermite(outVec3, vec3A, vec3B, vec3A, vec3B, 0.5); +outVec3 = vec3.bezier(outVec3, vec3A, vec3B, vec3A, vec3B, 0.5); +outVec3 = vec3.random(outVec3); +outVec3 = vec3.random(outVec3, 5.0); +outVec3 = vec3.transformMat3(outVec3, vec3A, mat3A); +outVec3 = vec3.transformMat4(outVec3, vec3A, mat4A); +outVec3 = vec3.transformQuat(outVec3, vec3A, quatA); +outVec3 = vec3.rotateX(outVec3, vec3A, vec3B, Math.PI); +outVec3 = vec3.rotateY(outVec3, vec3A, vec3B, Math.PI); +outVec3 = vec3.rotateZ(outVec3, vec3A, vec3B, Math.PI); +vecArray = vec3.forEach(vecArray, 0, 0, 0, vec3.normalize); +outVal = vec3.angle(vec3A, vec3B); +outStr = vec3.str(vec3A); +outBool = vec3.exactEquals(vec3A, vec3B); +outBool = vec3.equals(vec3A, vec3B); + +// vec4 +outVec4 = vec4.create(); +outVec4 = vec4.clone(vec4A); +outVec4 = vec4.fromValues(1, 2, 3, 4); +outVec4 = vec4.copy(outVec4, vec4A); +outVec4 = vec4.set(outVec4, 1, 2, 3, 4); +outVec4 = vec4.add(outVec4, vec4A, vec4B); +outVec4 = vec4.subtract(outVec4, vec4A, vec4B); +outVec4 = vec4.sub(outVec4, vec4A, vec4B); +outVec4 = vec4.multiply(outVec4, vec4A, vec4B); +outVec4 = vec4.mul(outVec4, vec4A, vec4B); +outVec4 = vec4.divide(outVec4, vec4A, vec4B); +outVec4 = vec4.div(outVec4, vec4A, vec4B); +outVec4 = vec4.ceil(outVec4, vec4A); +outVec4 = vec4.floor(outVec4, vec4A); +outVec4 = vec4.min(outVec4, vec4A, vec4B); +outVec4 = vec4.max(outVec4, vec4A, vec4B); +outVec4 = vec4.scale(outVec4, vec4A, 2); +outVec4 = vec4.scaleAndAdd(outVec4, vec4A, vec4B, 0.5); +outVal = vec4.distance(vec4A, vec4B); +outVal = vec4.dist(vec4A, vec4B); +outVal = vec4.squaredDistance(vec4A, vec4B); +outVal = vec4.sqrDist(vec4A, vec4B); +outVal = vec4.length(vec4A); +outVal = vec4.len(vec4A); +outVal = vec4.squaredLength(vec4A); +outVal = vec4.sqrLen(vec4A); +outVec4 = vec4.negate(outVec4, vec4A); +outVec4 = vec4.inverse(outVec4, vec4A); +outVec4 = vec4.normalize(outVec4, vec4A); +outVal = vec4.dot(vec4A, vec4B); +outVec4 = vec4.lerp(outVec4, vec4A, vec4B, 0.5); +outVec4 = vec4.random(outVec4); +outVec4 = vec4.random(outVec4, 5.0); +outVec4 = vec4.transformMat4(outVec4, vec4A, mat4A); +outVec4 = vec4.transformQuat(outVec4, vec4A, quatA); +vecArray = vec4.forEach(vecArray, 0, 0, 0, vec4.normalize); +outStr = vec4.str(vec4A); +outBool = vec4.exactEquals(vec4A, vec4B); +outBool = vec4.equals(vec4A, vec4B); + +// mat2 +outMat2 = mat2.create(); +outMat2 = mat2.clone(mat2A); +outMat2 = mat2.copy(outMat2, mat2A); +outMat2 = mat2.identity(outMat2); +outMat2 = mat2.fromValues(1, 2, 3, 4); +outMat2 = mat2.set(outMat2, 1, 2, 3, 4); +outMat2 = mat2.transpose(outMat2, mat2A); +outMat2 = mat2.invert(outMat2, mat2A); +outMat2 = mat2.adjoint(outMat2, mat2A); +outVal = mat2.determinant(mat2A); +outMat2 = mat2.multiply(outMat2, mat2A, mat2B); +outMat2 = mat2.mul(outMat2, mat2A, mat2B); +outMat2 = mat2.rotate(outMat2, mat2A, Math.PI * 0.5); +outMat2 = mat2.scale(outMat2, mat2A, vec2A); +outMat2 = mat2.fromRotation(outMat2, 0.5); +outMat2 = mat2.fromScaling(outMat2, vec2A); +outStr = mat2.str(mat2A); +outVal = mat2.frob(mat2A); +var L = mat2.create(); +var D = mat2.create(); +var U = mat2.create(); +outMat2 = mat2.LDU(L, D, U, mat2A); +outMat2 = mat2.add(outMat2, mat2A, mat2B); +outMat2 = mat2.subtract(outMat2, mat2A, mat2B); +outMat2 = mat2.sub(outMat2, mat2A, mat2B); +outBool = mat2.exactEquals(mat2A, mat2B); +outBool = mat2.equals(mat2A, mat2B); +outMat2 = mat2.multiplyScalar (outMat2, mat2A, 2); +outMat2 = mat2.multiplyScalarAndAdd (outMat2, mat2A, mat2B, 2); + +// mat2d +outMat2d = mat2d.create(); +outMat2d = mat2d.clone(mat2dA); +outMat2d = mat2d.copy(outMat2d, mat2dA); +outMat2d = mat2d.identity(outMat2d); +outMat2d = mat2d.fromValues(1, 2, 3, 4, 5, 6); +outMat2d = mat2d.set(outMat2d, 1, 2, 3, 4, 5, 6); +outMat2d = mat2d.invert(outMat2d, mat2dA); +outVal = mat2d.determinant(mat2dA); +outMat2d = mat2d.multiply(outMat2d, mat2dA, mat2dB); +outMat2d = mat2d.mul(outMat2d, mat2dA, mat2dB); +outMat2d = mat2d.rotate(outMat2d, mat2dA, Math.PI * 0.5); +outMat2d = mat2d.scale(outMat2d, mat2dA, vec2A); +outMat2d = mat2d.translate(outMat2d, mat2dA, vec2A); +outMat2d = mat2d.fromRotation(outMat2d, 0.5); +outMat2d = mat2d.fromScaling(outMat2d, vec2A); +outMat2d = mat2d.fromTranslation(outMat2d, vec2A); +outStr = mat2d.str(mat2dA); +outVal = mat2d.frob(mat2dA); +outMat2d = mat2d.add(outMat2d, mat2dA, mat2dB); +outMat2d = mat2d.subtract(outMat2d, mat2dA, mat2dB); +outMat2d = mat2d.sub(outMat2d, mat2dA, mat2dB); +outMat2d = mat2d.multiplyScalar (outMat2d, mat2dA, 2); +outMat2d = mat2d.multiplyScalarAndAdd (outMat2d, mat2dA, mat2dB, 2); +outBool = mat2d.exactEquals(mat2dA, mat2dB); +outBool = mat2d.equals(mat2dA, mat2dB); + + +// mat3 +outMat3 = mat3.create(); +outMat3 = mat3.fromMat4(outMat3, mat4A); +outMat3 = mat3.clone(mat3A); +outMat3 = mat3.copy(outMat3, mat3A); +outMat3 = mat3.fromValues(1, 2, 3, 4, 5, 6, 7, 8, 9); +outMat3 = mat3.set(outMat3, 1, 2, 3, 4, 5, 6, 7, 8, 9); +outMat3 = mat3.identity(outMat3); +outMat3 = mat3.transpose(outMat3, mat3A); +outMat3 = mat3.invert(outMat3, mat3A); +outMat3 = mat3.adjoint(outMat3, mat3A); +outVal = mat3.determinant(mat3A); +outMat3 = mat3.multiply(outMat3, mat3A, mat3B); +outMat3 = mat3.mul(outMat3, mat3A, mat3B); +outMat3 = mat3.translate(outMat3, mat3A, vec3A); +outMat3 = mat3.rotate(outMat3, mat3A, Math.PI/2); +outMat3 = mat3.scale(outMat3, mat3A, vec2A); +outMat3 = mat3.fromTranslation(outMat3, vec2A); +outMat3 = mat3.fromRotation(outMat3, Math.PI); +outMat3 = mat3.fromScaling(outMat3, vec2A); +outMat3 = mat3.fromMat2d(outMat3, mat2dA); +outMat3 = mat3.fromQuat(outMat3, quatA); +outMat3 = mat3.normalFromMat4(outMat3, mat4A); +outStr = mat3.str(mat3A); +outVal = mat3.frob(mat3A); +outMat3 = mat3.add(outMat3, mat3A, mat3B); +outMat3 = mat3.subtract(outMat3, mat3A, mat3B); +outMat3 = mat3.sub(outMat3, mat3A, mat3B); +outMat3 = mat3.multiplyScalar (outMat3, mat3A, 2); +outMat3 = mat3.multiplyScalarAndAdd (outMat3, mat3A, mat3B, 2); +outBool = mat3.exactEquals(mat3A, mat3B); +outBool = mat3.equals(mat3A, mat3B); + +//mat4 +outMat4 = mat4.create(); +outMat4 = mat4.clone(mat4A); +outMat4 = mat4.copy(outMat4, mat4A); +outMat4 = mat4.fromValues(1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16); +outMat4 = mat4.set(outMat4, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16); +outMat4 = mat4.identity(outMat4); +outMat4 = mat4.transpose(outMat4, mat4A); +outMat4 = mat4.invert(outMat4, mat4A); +outMat4 = mat4.adjoint(outMat4, mat4A); +outVal = mat4.determinant(mat4A); +outMat4 = mat4.multiply(outMat4, mat4A, mat4B); +outMat4 = mat4.mul(outMat4, mat4A, mat4B); +outMat4 = mat4.translate(outMat4, mat4A, vec3A); +outMat4 = mat4.scale(outMat4, mat4A, vec3A); +outMat4 = mat4.rotate(outMat4, mat4A, Math.PI, vec3A); +outMat4 = mat4.rotateX(outMat4, mat4A, Math.PI); +outMat4 = mat4.rotateY(outMat4, mat4A, Math.PI); +outMat4 = mat4.rotateZ(outMat4, mat4A, Math.PI); +outMat4 = mat4.fromTranslation(outMat4, vec3A); +outMat4 = mat4.fromRotation(outMat4, Math.PI, vec3A); +outMat4 = mat4.fromScaling(outMat4, vec3A); +outMat4 = mat4.fromXRotation(outMat4, Math.PI); +outMat4 = mat4.fromYRotation(outMat4, Math.PI); +outMat4 = mat4.fromZRotation(outMat4, Math.PI); +outMat4 = mat4.fromRotationTranslation(outMat4, quatA, vec3A); +outVec3 = mat4.getTranslation(outVec3, mat4A) +outQuat = mat4.getRotation(outQuat, mat4A) +outMat4 = mat4.fromRotationTranslationScale(outMat4, quatA, vec3A, vec3B); +outMat4 = mat4.fromRotationTranslationScaleOrigin(outMat4, quatA, vec3A, vec3B, vec3A); +outMat4 = mat4.fromQuat(outMat4, quatB); +outMat4 = mat4.frustum(outMat4, -1, 1, -1, 1, -1, 1); +outMat4 = mat4.perspective(outMat4, Math.PI, 1, 0, 1); +outMat4 = mat4.perspectiveFromFieldOfView(outMat4, {upDegrees:Math.PI, downDegrees:-Math.PI, leftDegrees:-Math.PI, rightDegrees:Math.PI}, 1, 0); +outMat4 = mat4.ortho(outMat4, -1, 1, -1, 1, -1, 1); +outMat4 = mat4.lookAt(outMat4, vec3A, vec3B, vec3A); +outStr = mat4.str(mat4A); +outVal = mat4.frob(mat4A); +outMat4 = mat4.add(outMat4, mat4A, mat4B); +outMat4 = mat4.subtract(outMat4, mat4A, mat4B); +outMat4 = mat4.sub(outMat4, mat4A, mat4B); +outMat4 = mat4.multiplyScalar (outMat4, mat4A, 2); +outMat4 = mat4.multiplyScalarAndAdd (outMat4, mat4A, mat4B, 2); +outBool = mat4.exactEquals(mat4A, mat4B); +outBool = mat4.equals(mat4A, mat4B); + +// quat +var deg90 = Math.PI / 2; +outQuat = quat.create(); +outQuat = quat.clone(quatA); +outQuat = quat.fromValues(1, 2, 3, 4); +outQuat = quat.copy(outQuat, quatA); +outQuat = quat.set(outQuat, 1, 2, 3, 4); +outQuat = quat.identity(outQuat); +outQuat = quat.rotationTo(outQuat, vec3A, vec3B); +outQuat = quat.setAxes(outQuat, vec3A, vec3B, vec3A); +outQuat = quat.setAxisAngle(outQuat, vec3A, Math.PI * 0.5); +outVal = quat.getAxisAngle (outVec3, quatA); +outQuat = quat.add(outQuat, quatA, quatB); +outQuat = quat.multiply(outQuat, quatA, quatB); +outQuat = quat.mul(outQuat, quatA, quatB); +outQuat = quat.scale(outQuat, quatA, 2); +outVal = quat.length(quatA); +outVal = quat.len(quatA); +outVal = quat.squaredLength(quatA); +outVal = quat.sqrLen(quatA); +outQuat = quat.normalize(outQuat, quatA); +outVal = quat.dot(quatA, quatB); +outQuat = quat.lerp(outQuat, quatA, quatB, 0.5); +outQuat = quat.slerp(outQuat, quatA, quatB, 0.5); +outQuat = quat.invert(outQuat, quatA); +outQuat = quat.conjugate(outQuat, quatA); +outStr = quat.str(quatA); +outQuat = quat.rotateX(outQuat, quatA, deg90); +outQuat = quat.rotateY(outQuat, quatA, deg90); +outQuat = quat.rotateZ(outQuat, quatA, deg90); +outQuat = quat.fromMat3(outQuat, mat3A); +outQuat = quat.calculateW(outQuat, quatA); +outBool = quat.exactEquals(quatA, quatB); +outBool = quat.equals(quatA, quatB); \ No newline at end of file diff --git a/gl-matrix/gl-matrix-typed.d.ts b/gl-matrix/gl-matrix-typed.d.ts new file mode 100644 index 0000000000..e172074fec --- /dev/null +++ b/gl-matrix/gl-matrix-typed.d.ts @@ -0,0 +1,3054 @@ +// Type definitions for gl-matrix 2.2.2 +// Project: https://github.com/toji/gl-matrix +// Definitions by: Mattijs Kneppers , based on definitions by Tat +// Definitions: https://github.com/DefinitelyTyped/DefinitelyTyped + +// Common +export class glMatrix { + /** + * Convert Degree To Radian + * + * @param a Angle in Degrees + */ + public static toRadian(a: number): number; +} + +// vec2 +export class vec2 extends Float32Array { + private typeVec2:number; + + /** + * Creates a new, empty vec2 + * + * @returns a new 2D vector + */ + public static create(): vec2; + + /** + * Creates a new vec2 initialized with values from an existing vector + * + * @param a a vector to clone + * @returns a new 2D vector + */ + public static clone(a: vec2): vec2; + + /** + * Creates a new vec2 initialized with the given values + * + * @param x X component + * @param y Y component + * @returns a new 2D vector + */ + public static fromValues(x: number, y: number): vec2; + + /** + * Copy the values from one vec2 to another + * + * @param out the receiving vector + * @param a the source vector + * @returns out + */ + public static copy(out: vec2, a: vec2): vec2; + + /** + * Set the components of a vec2 to the given values + * + * @param out the receiving vector + * @param x X component + * @param y Y component + * @returns out + */ + public static set(out: vec2, x: number, y: number): vec2; + + /** + * Adds two vec2's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static add(out: vec2, a: vec2, b: vec2): vec2; + + /** + * Subtracts vector b from vector a + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static subtract(out: vec2, a: vec2, b: vec2): vec2; + + /** + * Subtracts vector b from vector a + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static sub(out: vec2, a: vec2, b: vec2): vec2; + + /** + * Multiplies two vec2's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static multiply(out: vec2, a: vec2, b: vec2): vec2; + + /** + * Multiplies two vec2's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static mul(out: vec2, a: vec2, b: vec2): vec2; + + /** + * Divides two vec2's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static divide(out: vec2, a: vec2, b: vec2): vec2; + + /** + * Divides two vec2's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static div(out: vec2, a: vec2, b: vec2): vec2; + + /** + * Math.ceil the components of a vec2 + * + * @param {vec2} out the receiving vector + * @param {vec2} a vector to ceil + * @returns {vec2} out + */ + public static ceil(out:vec2, a:vec2):vec2; + + /** + * Math.floor the components of a vec2 + * + * @param {vec2} out the receiving vector + * @param {vec2} a vector to floor + * @returns {vec2} out + */ + public static floor (out:vec2, a:vec2):vec2; + + /** + * Returns the minimum of two vec2's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static min(out: vec2, a: vec2, b: vec2): vec2; + + /** + * Returns the maximum of two vec2's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static max(out: vec2, a: vec2, b: vec2): vec2; + + /** + * Math.round the components of a vec2 + * + * @param {vec2} out the receiving vector + * @param {vec2} a vector to round + * @returns {vec2} out + */ + public static round(out:vec2, a:vec2):vec2; + + + /** + * Scales a vec2 by a scalar number + * + * @param out the receiving vector + * @param a the vector to scale + * @param b amount to scale the vector by + * @returns out + */ + public static scale(out: vec2, a: vec2, b: number): vec2; + + /** + * Adds two vec2's after scaling the second operand by a scalar value + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @param scale the amount to scale b by before adding + * @returns out + */ + public static scaleAndAdd(out: vec2, a: vec2, b: vec2, scale: number): vec2; + + /** + * Calculates the euclidian distance between two vec2's + * + * @param a the first operand + * @param b the second operand + * @returns distance between a and b + */ + public static distance(a: vec2, b: vec2): number; + + /** + * Calculates the euclidian distance between two vec2's + * + * @param a the first operand + * @param b the second operand + * @returns distance between a and b + */ + public static dist(a: vec2, b: vec2): number; + + /** + * Calculates the squared euclidian distance between two vec2's + * + * @param a the first operand + * @param b the second operand + * @returns squared distance between a and b + */ + public static squaredDistance(a: vec2, b: vec2): number; + + /** + * Calculates the squared euclidian distance between two vec2's + * + * @param a the first operand + * @param b the second operand + * @returns squared distance between a and b + */ + public static sqrDist(a: vec2, b: vec2): number; + + /** + * Calculates the length of a vec2 + * + * @param a vector to calculate length of + * @returns length of a + */ + public static length(a: vec2): number; + + /** + * Calculates the length of a vec2 + * + * @param a vector to calculate length of + * @returns length of a + */ + public static len(a: vec2): number; + + /** + * Calculates the squared length of a vec2 + * + * @param a vector to calculate squared length of + * @returns squared length of a + */ + public static squaredLength(a: vec2): number; + + /** + * Calculates the squared length of a vec2 + * + * @param a vector to calculate squared length of + * @returns squared length of a + */ + public static sqrLen(a: vec2): number; + + /** + * Negates the components of a vec2 + * + * @param out the receiving vector + * @param a vector to negate + * @returns out + */ + public static negate(out: vec2, a: vec2): vec2; + + /** + * Returns the inverse of the components of a vec2 + * + * @param out the receiving vector + * @param a vector to invert + * @returns out + */ + public static inverse(out: vec2, a: vec2): vec2; + + /** + * Normalize a vec2 + * + * @param out the receiving vector + * @param a vector to normalize + * @returns out + */ + public static normalize(out: vec2, a: vec2): vec2; + + /** + * Calculates the dot product of two vec2's + * + * @param a the first operand + * @param b the second operand + * @returns dot product of a and b + */ + public static dot(a: vec2, b: vec2): number; + + /** + * Computes the cross product of two vec2's + * Note that the cross product must by definition produce a 3D vector + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static cross(out: vec2, a: vec2, b: vec2): vec2; + + /** + * Performs a linear interpolation between two vec2's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @param t interpolation amount between the two inputs + * @returns out + */ + public static lerp(out: vec2, a: vec2, b: vec2, t: number): vec2; + + /** + * Generates a random unit vector + * + * @param out the receiving vector + * @returns out + */ + public static random(out: vec2): vec2; + + /** + * Generates a random vector with the given scale + * + * @param out the receiving vector + * @param scale Length of the resulting vector. If ommitted, a unit vector will be returned + * @returns out + */ + public static random(out: vec2, scale: number): vec2; + + /** + * Transforms the vec2 with a mat2 + * + * @param out the receiving vector + * @param a the vector to transform + * @param m matrix to transform with + * @returns out + */ + public static transformMat2(out: vec2, a: vec2, m: mat2): vec2; + + /** + * Transforms the vec2 with a mat2d + * + * @param out the receiving vector + * @param a the vector to transform + * @param m matrix to transform with + * @returns out + */ + public static transformMat2d(out: vec2, a: vec2, m: mat2d): vec2; + + /** + * Transforms the vec2 with a mat3 + * 3rd vector component is implicitly '1' + * + * @param out the receiving vector + * @param a the vector to transform + * @param m matrix to transform with + * @returns out + */ + public static transformMat3(out: vec2, a: vec2, m: mat3): vec2; + + /** + * Transforms the vec2 with a mat4 + * 3rd vector component is implicitly '0' + * 4th vector component is implicitly '1' + * + * @param out the receiving vector + * @param a the vector to transform + * @param m matrix to transform with + * @returns out + */ + public static transformMat4(out: vec2, a: vec2, m: mat4): vec2; + + /** + * Perform some operation over an array of vec2s. + * + * @param a the array of vectors to iterate over + * @param stride Number of elements between the start of each vec2. If 0 assumes tightly packed + * @param offset Number of elements to skip at the beginning of the array + * @param count Number of vec2s to iterate over. If 0 iterates over entire array + * @param fn Function to call for each vector in the array + * @param arg additional argument to pass to fn + * @returns a + */ + public static forEach(a: Float32Array, stride: number, offset: number, count: number, + fn: (a: vec2, b: vec2, arg: any) => void, arg: any): Float32Array; + + /** + * Perform some operation over an array of vec2s. + * + * @param a the array of vectors to iterate over + * @param stride Number of elements between the start of each vec2. If 0 assumes tightly packed + * @param offset Number of elements to skip at the beginning of the array + * @param count Number of vec2s to iterate over. If 0 iterates over entire array + * @param fn Function to call for each vector in the array + * @returns a + */ + public static forEach(a: Float32Array, stride: number, offset: number, count: number, + fn: (a: vec2, b: vec2) => void): Float32Array; + + /** + * Returns a string representation of a vector + * + * @param a vector to represent as a string + * @returns string representation of the vector + */ + public static str(a: vec2): string; + + /** + * Returns whether or not the vectors exactly have the same elements in the same position (when compared with ===) + * + * @param {vec2} a The first vector. + * @param {vec2} b The second vector. + * @returns {boolean} True if the vectors are equal, false otherwise. + */ + public static exactEquals (a:vec2, b:vec2): boolean; + + /** + * Returns whether or not the vectors have approximately the same elements in the same position. + * + * @param {vec2} a The first vector. + * @param {vec2} b The second vector. + * @returns {boolean} True if the vectors are equal, false otherwise. + */ + public static equals (a:vec2, b:vec2) : boolean; +} + +// vec3 +export class vec3 extends Float32Array { + private typeVec3:number; + + /** + * Creates a new, empty vec3 + * + * @returns a new 3D vector + */ + public static create(): vec3; + + /** + * Creates a new vec3 initialized with values from an existing vector + * + * @param a vector to clone + * @returns a new 3D vector + */ + public static clone(a: vec3): vec3; + + /** + * Creates a new vec3 initialized with the given values + * + * @param x X component + * @param y Y component + * @param z Z component + * @returns a new 3D vector + */ + public static fromValues(x: number, y: number, z: number): vec3; + + /** + * Copy the values from one vec3 to another + * + * @param out the receiving vector + * @param a the source vector + * @returns out + */ + public static copy(out: vec3, a: vec3): vec3; + + /** + * Set the components of a vec3 to the given values + * + * @param out the receiving vector + * @param x X component + * @param y Y component + * @param z Z component + * @returns out + */ + public static set(out: vec3, x: number, y: number, z: number): vec3; + + /** + * Adds two vec3's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static add(out: vec3, a: vec3, b: vec3): vec3; + + /** + * Subtracts vector b from vector a + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static subtract(out: vec3, a: vec3, b: vec3): vec3; + + /** + * Subtracts vector b from vector a + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static sub(out: vec3, a: vec3, b: vec3): vec3 + + /** + * Multiplies two vec3's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static multiply(out: vec3, a: vec3, b: vec3): vec3; + + /** + * Multiplies two vec3's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static mul(out: vec3, a: vec3, b: vec3): vec3; + + /** + * Divides two vec3's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static divide(out: vec3, a: vec3, b: vec3): vec3; + + /** + * Divides two vec3's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static div(out: vec3, a: vec3, b: vec3): vec3; + + /** + * Math.ceil the components of a vec3 + * + * @param {vec3} out the receiving vector + * @param {vec3} a vector to ceil + * @returns {vec3} out + */ + public static ceil (out:vec3, a:vec3) : vec3; + + /** + * Math.floor the components of a vec3 + * + * @param {vec3} out the receiving vector + * @param {vec3} a vector to floor + * @returns {vec3} out + */ + public static floor (out:vec3, a:vec3) :vec3; + + /** + * Returns the minimum of two vec3's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static min(out: vec3, a: vec3, b: vec3): vec3; + + /** + * Returns the maximum of two vec3's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static max(out: vec3, a: vec3, b: vec3): vec3; + + /** + * Math.round the components of a vec3 + * + * @param {vec3} out the receiving vector + * @param {vec3} a vector to round + * @returns {vec3} out + */ + public static round (out:vec3, a:vec3) : vec3 + + /** + * Scales a vec3 by a scalar number + * + * @param out the receiving vector + * @param a the vector to scale + * @param b amount to scale the vector by + * @returns out + */ + public static scale(out: vec3, a: vec3, b: number): vec3; + + /** + * Adds two vec3's after scaling the second operand by a scalar value + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @param scale the amount to scale b by before adding + * @returns out + */ + public static scaleAndAdd(out: vec3, a: vec3, b: vec3, scale: number): vec3; + + /** + * Calculates the euclidian distance between two vec3's + * + * @param a the first operand + * @param b the second operand + * @returns distance between a and b + */ + public static distance(a: vec3, b: vec3): number; + + /** + * Calculates the euclidian distance between two vec3's + * + * @param a the first operand + * @param b the second operand + * @returns distance between a and b + */ + public static dist(a: vec3, b: vec3): number; + + /** + * Calculates the squared euclidian distance between two vec3's + * + * @param a the first operand + * @param b the second operand + * @returns squared distance between a and b + */ + public static squaredDistance(a: vec3, b: vec3): number; + + /** + * Calculates the squared euclidian distance between two vec3's + * + * @param a the first operand + * @param b the second operand + * @returns squared distance between a and b + */ + public static sqrDist(a: vec3, b: vec3): number; + + /** + * Calculates the length of a vec3 + * + * @param a vector to calculate length of + * @returns length of a + */ + public static length(a: vec3): number; + + /** + * Calculates the length of a vec3 + * + * @param a vector to calculate length of + * @returns length of a + */ + public static len(a: vec3): number; + + /** + * Calculates the squared length of a vec3 + * + * @param a vector to calculate squared length of + * @returns squared length of a + */ + public static squaredLength(a: vec3): number; + + /** + * Calculates the squared length of a vec3 + * + * @param a vector to calculate squared length of + * @returns squared length of a + */ + public static sqrLen(a: vec3): number; + + /** + * Negates the components of a vec3 + * + * @param out the receiving vector + * @param a vector to negate + * @returns out + */ + public static negate(out: vec3, a: vec3): vec3; + + /** + * Returns the inverse of the components of a vec3 + * + * @param out the receiving vector + * @param a vector to invert + * @returns out + */ + public static inverse(out: vec3, a: vec3): vec3; + + /** + * Normalize a vec3 + * + * @param out the receiving vector + * @param a vector to normalize + * @returns out + */ + public static normalize(out: vec3, a: vec3): vec3; + + /** + * Calculates the dot product of two vec3's + * + * @param a the first operand + * @param b the second operand + * @returns dot product of a and b + */ + public static dot(a: vec3, b: vec3): number; + + /** + * Computes the cross product of two vec3's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static cross(out: vec3, a: vec3, b: vec3): vec3; + + /** + * Performs a linear interpolation between two vec3's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @param t interpolation amount between the two inputs + * @returns out + */ + public static lerp(out: vec3, a: vec3, b: vec3, t: number): vec3; + + /** + * Performs a hermite interpolation with two control points + * + * @param {vec3} out the receiving vector + * @param {vec3} a the first operand + * @param {vec3} b the second operand + * @param {vec3} c the third operand + * @param {vec3} d the fourth operand + * @param {number} t interpolation amount between the two inputs + * @returns {vec3} out + */ + public static hermite (out:vec3, a:vec3, b:vec3, c:vec3, d:vec3, t:number) : vec3; + + /** + * Performs a bezier interpolation with two control points + * + * @param {vec3} out the receiving vector + * @param {vec3} a the first operand + * @param {vec3} b the second operand + * @param {vec3} c the third operand + * @param {vec3} d the fourth operand + * @param {number} t interpolation amount between the two inputs + * @returns {vec3} out + */ + public static bezier (out:vec3, a:vec3, b:vec3, c:vec3, d:vec3, t:number) :vec3; + + /** + * Generates a random unit vector + * + * @param out the receiving vector + * @returns out + */ + public static random(out: vec3): vec3; + + /** + * Generates a random vector with the given scale + * + * @param out the receiving vector + * @param [scale] Length of the resulting vector. If omitted, a unit vector will be returned + * @returns out + */ + public static random(out: vec3, scale: number): vec3; + + /** + * Transforms the vec3 with a mat3. + * + * @param out the receiving vector + * @param a the vector to transform + * @param m the 3x3 matrix to transform with + * @returns out + */ + public static transformMat3(out: vec3, a: vec3, m: mat3): vec3; + + /** + * Transforms the vec3 with a mat4. + * 4th vector component is implicitly '1' + * + * @param out the receiving vector + * @param a the vector to transform + * @param m matrix to transform with + * @returns out + */ + public static transformMat4(out: vec3, a: vec3, m: mat4): vec3; + + /** + * Transforms the vec3 with a quat + * + * @param out the receiving vector + * @param a the vector to transform + * @param q quaternion to transform with + * @returns out + */ + public static transformQuat(out: vec3, a: vec3, q: quat): vec3; + + + /** + * Rotate a 3D vector around the x-axis + * @param out The receiving vec3 + * @param a The vec3 point to rotate + * @param b The origin of the rotation + * @param c The angle of rotation + * @returns out + */ + public static rotateX(out: vec3, a: vec3, b: vec3, c: number): vec3; + + /** + * Rotate a 3D vector around the y-axis + * @param out The receiving vec3 + * @param a The vec3 point to rotate + * @param b The origin of the rotation + * @param c The angle of rotation + * @returns out + */ + public static rotateY(out: vec3, a: vec3, b: vec3, c: number): vec3; + + /** + * Rotate a 3D vector around the z-axis + * @param out The receiving vec3 + * @param a The vec3 point to rotate + * @param b The origin of the rotation + * @param c The angle of rotation + * @returns out + */ + public static rotateZ(out: vec3, a: vec3, b: vec3, c: number): vec3; + + /** + * Perform some operation over an array of vec3s. + * + * @param a the array of vectors to iterate over + * @param stride Number of elements between the start of each vec3. If 0 assumes tightly packed + * @param offset Number of elements to skip at the beginning of the array + * @param count Number of vec3s to iterate over. If 0 iterates over entire array + * @param fn Function to call for each vector in the array + * @param arg additional argument to pass to fn + * @returns a + * @function + */ + public static forEach(a: Float32Array, stride: number, offset: number, count: number, + fn: (a: vec3, b: vec3, arg: any) => void, arg: any): Float32Array; + + /** + * Perform some operation over an array of vec3s. + * + * @param a the array of vectors to iterate over + * @param stride Number of elements between the start of each vec3. If 0 assumes tightly packed + * @param offset Number of elements to skip at the beginning of the array + * @param count Number of vec3s to iterate over. If 0 iterates over entire array + * @param fn Function to call for each vector in the array + * @returns a + * @function + */ + public static forEach(a: Float32Array, stride: number, offset: number, count: number, + fn: (a: vec3, b: vec3) => void): Float32Array; + + /** + * Get the angle between two 3D vectors + * @param a The first operand + * @param b The second operand + * @returns The angle in radians + */ + public static angle(a: vec3, b: vec3): number; + + /** + * Returns a string representation of a vector + * + * @param a vector to represent as a string + * @returns string representation of the vector + */ + public static str(a: vec3): string; + + /** + * Returns whether or not the vectors have exactly the same elements in the same position (when compared with ===) + * + * @param {vec3} a The first vector. + * @param {vec3} b The second vector. + * @returns {boolean} True if the vectors are equal, false otherwise. + */ + public static exactEquals (a:vec3, b:vec3): boolean + + /** + * Returns whether or not the vectors have approximately the same elements in the same position. + * + * @param {vec3} a The first vector. + * @param {vec3} b The second vector. + * @returns {boolean} True if the vectors are equal, false otherwise. + */ + public static equals (a:vec3, b:vec3) : boolean +} + +// vec4 +export class vec4 extends Float32Array { + private typeVec3:number; + + /** + * Creates a new, empty vec4 + * + * @returns a new 4D vector + */ + public static create(): vec4; + + /** + * Creates a new vec4 initialized with values from an existing vector + * + * @param a vector to clone + * @returns a new 4D vector + */ + public static clone(a: vec4): vec4; + + /** + * Creates a new vec4 initialized with the given values + * + * @param x X component + * @param y Y component + * @param z Z component + * @param w W component + * @returns a new 4D vector + */ + public static fromValues(x: number, y: number, z: number, w: number): vec4; + + /** + * Copy the values from one vec4 to another + * + * @param out the receiving vector + * @param a the source vector + * @returns out + */ + public static copy(out: vec4, a: vec4): vec4; + + /** + * Set the components of a vec4 to the given values + * + * @param out the receiving vector + * @param x X component + * @param y Y component + * @param z Z component + * @param w W component + * @returns out + */ + public static set(out: vec4, x: number, y: number, z: number, w: number): vec4; + + /** + * Adds two vec4's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static add(out: vec4, a: vec4, b: vec4): vec4; + + /** + * Subtracts vector b from vector a + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static subtract(out: vec4, a: vec4, b: vec4): vec4; + + /** + * Subtracts vector b from vector a + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static sub(out: vec4, a: vec4, b: vec4): vec4; + + /** + * Multiplies two vec4's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static multiply(out: vec4, a: vec4, b: vec4): vec4; + + /** + * Multiplies two vec4's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static mul(out: vec4, a: vec4, b: vec4): vec4; + + /** + * Divides two vec4's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static divide(out: vec4, a: vec4, b: vec4): vec4; + + /** + * Divides two vec4's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static div(out: vec4, a: vec4, b: vec4): vec4; + + /** + * Math.ceil the components of a vec4 + * + * @param {vec4} out the receiving vector + * @param {vec4} a vector to ceil + * @returns {vec4} out + */ + public static ceil (out:vec4, a:vec4) : vec4; + + /** + * Math.floor the components of a vec4 + * + * @param {vec4} out the receiving vector + * @param {vec4} a vector to floor + * @returns {vec4} out + */ + public static floor (out:vec4, a:vec4) : vec4; + + /** + * Returns the minimum of two vec4's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static min(out: vec4, a: vec4, b: vec4): vec4; + + /** + * Returns the maximum of two vec4's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static max(out: vec4, a: vec4, b: vec4): vec4; + + /** + * Math.round the components of a vec4 + * + * @param {vec4} out the receiving vector + * @param {vec4} a vector to round + * @returns {vec4} out + */ + public static round (out:vec4, a:vec4): vec4; + + /** + * Scales a vec4 by a scalar number + * + * @param out the receiving vector + * @param a the vector to scale + * @param b amount to scale the vector by + * @returns out + */ + public static scale(out: vec4, a: vec4, b: number): vec4; + + /** + * Adds two vec4's after scaling the second operand by a scalar value + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @param scale the amount to scale b by before adding + * @returns out + */ + public static scaleAndAdd(out: vec4, a: vec4, b: vec4, scale: number): vec4; + + /** + * Calculates the euclidian distance between two vec4's + * + * @param a the first operand + * @param b the second operand + * @returns distance between a and b + */ + public static distance(a: vec4, b: vec4): number; + + /** + * Calculates the euclidian distance between two vec4's + * + * @param a the first operand + * @param b the second operand + * @returns distance between a and b + */ + public static dist(a: vec4, b: vec4): number; + + /** + * Calculates the squared euclidian distance between two vec4's + * + * @param a the first operand + * @param b the second operand + * @returns squared distance between a and b + */ + public static squaredDistance(a: vec4, b: vec4): number; + + /** + * Calculates the squared euclidian distance between two vec4's + * + * @param a the first operand + * @param b the second operand + * @returns squared distance between a and b + */ + public static sqrDist(a: vec4, b: vec4): number; + + /** + * Calculates the length of a vec4 + * + * @param a vector to calculate length of + * @returns length of a + */ + public static length(a: vec4): number; + + /** + * Calculates the length of a vec4 + * + * @param a vector to calculate length of + * @returns length of a + */ + public static len(a: vec4): number; + + /** + * Calculates the squared length of a vec4 + * + * @param a vector to calculate squared length of + * @returns squared length of a + */ + public static squaredLength(a: vec4): number; + + /** + * Calculates the squared length of a vec4 + * + * @param a vector to calculate squared length of + * @returns squared length of a + */ + public static sqrLen(a: vec4): number; + + /** + * Negates the components of a vec4 + * + * @param out the receiving vector + * @param a vector to negate + * @returns out + */ + public static negate(out: vec4, a: vec4): vec4; + + /** + * Returns the inverse of the components of a vec4 + * + * @param out the receiving vector + * @param a vector to invert + * @returns out + */ + public static inverse(out: vec4, a: vec4): vec4; + + /** + * Normalize a vec4 + * + * @param out the receiving vector + * @param a vector to normalize + * @returns out + */ + public static normalize(out: vec4, a: vec4): vec4; + + /** + * Calculates the dot product of two vec4's + * + * @param a the first operand + * @param b the second operand + * @returns dot product of a and b + */ + public static dot(a: vec4, b: vec4): number; + + /** + * Performs a linear interpolation between two vec4's + * + * @param out the receiving vector + * @param a the first operand + * @param b the second operand + * @param t interpolation amount between the two inputs + * @returns out + */ + public static lerp(out: vec4, a: vec4, b: vec4, t: number): vec4; + + /** + * Generates a random unit vector + * + * @param out the receiving vector + * @returns out + */ + public static random(out: vec4): vec4; + + /** + * Generates a random vector with the given scale + * + * @param out the receiving vector + * @param scale length of the resulting vector. If ommitted, a unit vector will be returned + * @returns out + */ + public static random(out: vec4, scale: number): vec4; + + /** + * Transforms the vec4 with a mat4. + * + * @param out the receiving vector + * @param a the vector to transform + * @param m matrix to transform with + * @returns out + */ + public static transformMat4(out: vec4, a: vec4, m: mat4): vec4; + + /** + * Transforms the vec4 with a quat + * + * @param out the receiving vector + * @param a the vector to transform + * @param q quaternion to transform with + * @returns out + */ + + public static transformQuat(out: vec4, a: vec4, q: quat): vec4; + + /** + * Perform some operation over an array of vec4s. + * + * @param a the array of vectors to iterate over + * @param stride Number of elements between the start of each vec4. If 0 assumes tightly packed + * @param offset Number of elements to skip at the beginning of the array + * @param count Number of vec4s to iterate over. If 0 iterates over entire array + * @param fn Function to call for each vector in the array + * @param arg additional argument to pass to fn + * @returns a + * @function + */ + public static forEach(a: Float32Array, stride: number, offset: number, count: number, + fn: (a: vec4, b: vec4, arg: any) => void, arg: any): Float32Array; + + /** + * Perform some operation over an array of vec4s. + * + * @param a the array of vectors to iterate over + * @param stride Number of elements between the start of each vec4. If 0 assumes tightly packed + * @param offset Number of elements to skip at the beginning of the array + * @param count Number of vec4s to iterate over. If 0 iterates over entire array + * @param fn Function to call for each vector in the array + * @returns a + * @function + */ + public static forEach(a: Float32Array, stride: number, offset: number, count: number, + fn: (a: vec4, b: vec4) => void): Float32Array; + + /** + * Returns a string representation of a vector + * + * @param a vector to represent as a string + * @returns string representation of the vector + */ + public static str(a: vec4): string; + + /** + * Returns whether or not the vectors have exactly the same elements in the same position (when compared with ===) + * + * @param {vec4} a The first vector. + * @param {vec4} b The second vector. + * @returns {boolean} True if the vectors are equal, false otherwise. + */ + public static exactEquals (a:vec4, b:vec4) : boolean; + + /** + * Returns whether or not the vectors have approximately the same elements in the same position. + * + * @param {vec4} a The first vector. + * @param {vec4} b The second vector. + * @returns {boolean} True if the vectors are equal, false otherwise. + */ + public static equals (a:vec4, b:vec4) : boolean; +} + +// mat2 +export class mat2 extends Float32Array { + private typeMat2:number; + + /** + * Creates a new identity mat2 + * + * @returns a new 2x2 matrix + */ + public static create():mat2; + + /** + * Creates a new mat2 initialized with values from an existing matrix + * + * @param a matrix to clone + * @returns a new 2x2 matrix + */ + public static clone(a:mat2):mat2; + + /** + * Copy the values from one mat2 to another + * + * @param out the receiving matrix + * @param a the source matrix + * @returns out + */ + public static copy(out:mat2, a:mat2):mat2; + + /** + * Set a mat2 to the identity matrix + * + * @param out the receiving matrix + * @returns out + */ + public static identity(out:mat2):mat2; + + /** + * Create a new mat2 with the given values + * + * @param {number} m00 Component in column 0, row 0 position (index 0) + * @param {number} m01 Component in column 0, row 1 position (index 1) + * @param {number} m10 Component in column 1, row 0 position (index 2) + * @param {number} m11 Component in column 1, row 1 position (index 3) + * @returns {mat2} out A new 2x2 matrix + */ + public static fromValues(m00:number, m01:number, m10:number, m11:number):mat2; + + /** + * Set the components of a mat2 to the given values + * + * @param {mat2} out the receiving matrix + * @param {number} m00 Component in column 0, row 0 position (index 0) + * @param {number} m01 Component in column 0, row 1 position (index 1) + * @param {number} m10 Component in column 1, row 0 position (index 2) + * @param {number} m11 Component in column 1, row 1 position (index 3) + * @returns {mat2} out + */ + public static set(out:mat2, m00:number, m01:number, m10:number, m11:number):mat2; + + /** + * Transpose the values of a mat2 + * + * @param out the receiving matrix + * @param a the source matrix + * @returns out + */ + public static transpose(out:mat2, a:mat2):mat2; + + /** + * Inverts a mat2 + * + * @param out the receiving matrix + * @param a the source matrix + * @returns out + */ + public static invert(out:mat2, a:mat2):mat2; + + /** + * Calculates the adjugate of a mat2 + * + * @param out the receiving matrix + * @param a the source matrix + * @returns out + */ + public static adjoint(out:mat2, a:mat2):mat2; + + /** + * Calculates the determinant of a mat2 + * + * @param a the source matrix + * @returns determinant of a + */ + public static determinant(a:mat2):number; + + /** + * Multiplies two mat2's + * + * @param out the receiving matrix + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static multiply(out:mat2, a:mat2, b:mat2):mat2; + + /** + * Multiplies two mat2's + * + * @param out the receiving matrix + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static mul(out:mat2, a:mat2, b:mat2):mat2; + + /** + * Rotates a mat2 by the given angle + * + * @param out the receiving matrix + * @param a the matrix to rotate + * @param rad the angle to rotate the matrix by + * @returns out + */ + public static rotate(out:mat2, a:mat2, rad:number):mat2; + + /** + * Scales the mat2 by the dimensions in the given vec2 + * + * @param out the receiving matrix + * @param a the matrix to rotate + * @param v the vec2 to scale the matrix by + * @returns out + **/ + public static scale(out:mat2, a:mat2, v:vec2):mat2; + + /** + * Creates a matrix from a given angle + * This is equivalent to (but much faster than): + * + * mat2.identity(dest); + * mat2.rotate(dest, dest, rad); + * + * @param {mat2} out mat2 receiving operation result + * @param {number} rad the angle to rotate the matrix by + * @returns {mat2} out + */ + public static fromRotation(out:mat2, rad:number):mat2; + + /** + * Creates a matrix from a vector scaling + * This is equivalent to (but much faster than): + * + * mat2.identity(dest); + * mat2.scale(dest, dest, vec); + * + * @param {mat2} out mat2 receiving operation result + * @param {vec2} v Scaling vector + * @returns {mat2} out + */ + public static fromScaling(out:mat2, v:vec2):mat2; + + /** + * Returns a string representation of a mat2 + * + * @param a matrix to represent as a string + * @returns string representation of the matrix + */ + public static str(a:mat2):string; + + /** + * Returns Frobenius norm of a mat2 + * + * @param a the matrix to calculate Frobenius norm of + * @returns Frobenius norm + */ + public static frob(a:mat2):number; + + /** + * Returns L, D and U matrices (Lower triangular, Diagonal and Upper triangular) by factorizing the input matrix + * @param L the lower triangular matrix + * @param D the diagonal matrix + * @param U the upper triangular matrix + * @param a the input matrix to factorize + */ + public static LDU(L:mat2, D:mat2, U:mat2, a:mat2):mat2; + + /** + * Adds two mat2's + * + * @param {mat2} out the receiving matrix + * @param {mat2} a the first operand + * @param {mat2} b the second operand + * @returns {mat2} out + */ + public static add(out:mat2, a:mat2, b:mat2):mat2; + + /** + * Subtracts matrix b from matrix a + * + * @param {mat2} out the receiving matrix + * @param {mat2} a the first operand + * @param {mat2} b the second operand + * @returns {mat2} out + */ + public static subtract (out:mat2, a:mat2, b:mat2):mat2; + + /** + * Subtracts matrix b from matrix a + * + * @param {mat2} out the receiving matrix + * @param {mat2} a the first operand + * @param {mat2} b the second operand + * @returns {mat2} out + */ + public static sub (out:mat2, a:mat2, b:mat2):mat2; + + /** + * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===) + * + * @param {mat2} a The first matrix. + * @param {mat2} b The second matrix. + * @returns {boolean} True if the matrices are equal, false otherwise. + */ + public static exactEquals (a:mat2, b:mat2):boolean; + + /** + * Returns whether or not the matrices have approximately the same elements in the same position. + * + * @param {mat2} a The first matrix. + * @param {mat2} b The second matrix. + * @returns {boolean} True if the matrices are equal, false otherwise. + */ + public static equals (a:mat2, b:mat2) :boolean; + + /** + * Multiply each element of the matrix by a scalar. + * + * @param {mat2} out the receiving matrix + * @param {mat2} a the matrix to scale + * @param {number} b amount to scale the matrix's elements by + * @returns {mat2} out + */ + public static multiplyScalar (out:mat2, a:mat2, b:number) :mat2 + + /** + * Adds two mat2's after multiplying each element of the second operand by a scalar value. + * + * @param {mat2} out the receiving vector + * @param {mat2} a the first operand + * @param {mat2} b the second operand + * @param {number} scale the amount to scale b's elements by before adding + * @returns {mat2} out + */ + public static multiplyScalarAndAdd (out:mat2, a:mat2, b:mat2, scale:number): mat2 + + + +} + +// mat2d +export class mat2d extends Float32Array { + private typeMat2d:number; + + /** + * Creates a new identity mat2d + * + * @returns a new 2x3 matrix + */ + public static create(): mat2d; + + /** + * Creates a new mat2d initialized with values from an existing matrix + * + * @param a matrix to clone + * @returns a new 2x3 matrix + */ + public static clone(a: mat2d): mat2d; + + /** + * Copy the values from one mat2d to another + * + * @param out the receiving matrix + * @param a the source matrix + * @returns out + */ + public static copy(out: mat2d, a: mat2d): mat2d; + + /** + * Set a mat2d to the identity matrix + * + * @param out the receiving matrix + * @returns out + */ + public static identity(out: mat2d): mat2d; + + /** + * Create a new mat2d with the given values + * + * @param {number} a Component A (index 0) + * @param {number} b Component B (index 1) + * @param {number} c Component C (index 2) + * @param {number} d Component D (index 3) + * @param {number} tx Component TX (index 4) + * @param {number} ty Component TY (index 5) + * @returns {mat2d} A new mat2d + */ + public static fromValues (a:number, b:number, c:number, d:number, tx:number, ty:number) : mat2d + + + /** + * Set the components of a mat2d to the given values + * + * @param {mat2d} out the receiving matrix + * @param {number} a Component A (index 0) + * @param {number} b Component B (index 1) + * @param {number} c Component C (index 2) + * @param {number} d Component D (index 3) + * @param {number} tx Component TX (index 4) + * @param {number} ty Component TY (index 5) + * @returns {mat2d} out + */ + public static set (out:mat2d, a:number, b:number, c:number, d:number, tx:number, ty:number) :mat2d + + /** + * Inverts a mat2d + * + * @param out the receiving matrix + * @param a the source matrix + * @returns out + */ + public static invert(out: mat2d, a: mat2d): mat2d; + + /** + * Calculates the determinant of a mat2d + * + * @param a the source matrix + * @returns determinant of a + */ + public static determinant(a: mat2d): number; + + /** + * Multiplies two mat2d's + * + * @param out the receiving matrix + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static multiply(out: mat2d, a: mat2d, b: mat2d): mat2d; + + /** + * Multiplies two mat2d's + * + * @param out the receiving matrix + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static mul(out: mat2d, a: mat2d, b: mat2d): mat2d; + + /** + * Rotates a mat2d by the given angle + * + * @param out the receiving matrix + * @param a the matrix to rotate + * @param rad the angle to rotate the matrix by + * @returns out + */ + public static rotate(out: mat2d, a: mat2d, rad: number): mat2d; + + /** + * Scales the mat2d by the dimensions in the given vec2 + * + * @param out the receiving matrix + * @param a the matrix to translate + * @param v the vec2 to scale the matrix by + * @returns out + **/ + public static scale(out: mat2d, a: mat2d, v: vec2): mat2d; + + /** + * Translates the mat2d by the dimensions in the given vec2 + * + * @param out the receiving matrix + * @param a the matrix to translate + * @param v the vec2 to translate the matrix by + * @returns out + **/ + public static translate(out: mat2d, a: mat2d, v: vec2): mat2d; + + /** + * Creates a matrix from a given angle + * This is equivalent to (but much faster than): + * + * mat2d.identity(dest); + * mat2d.rotate(dest, dest, rad); + * + * @param {mat2d} out mat2d receiving operation result + * @param {number} rad the angle to rotate the matrix by + * @returns {mat2d} out + */ + public static fromRotation (out:mat2d, rad:number): mat2d; + + /** + * Creates a matrix from a vector scaling + * This is equivalent to (but much faster than): + * + * mat2d.identity(dest); + * mat2d.scale(dest, dest, vec); + * + * @param {mat2d} out mat2d receiving operation result + * @param {vec2} v Scaling vector + * @returns {mat2d} out + */ + public static fromScaling (out:mat2d, v:vec2):mat2d; + + /** + * Creates a matrix from a vector translation + * This is equivalent to (but much faster than): + * + * mat2d.identity(dest); + * mat2d.translate(dest, dest, vec); + * + * @param {mat2d} out mat2d receiving operation result + * @param {vec2} v Translation vector + * @returns {mat2d} out + */ + public static fromTranslation (out:mat2d, v:vec2):mat2d + + /** + * Returns a string representation of a mat2d + * + * @param a matrix to represent as a string + * @returns string representation of the matrix + */ + public static str(a: mat2d): string; + + /** + * Returns Frobenius norm of a mat2d + * + * @param a the matrix to calculate Frobenius norm of + * @returns Frobenius norm + */ + public static frob(a: mat2d): number; + + /** + * Adds two mat2d's + * + * @param {mat2d} out the receiving matrix + * @param {mat2d} a the first operand + * @param {mat2d} b the second operand + * @returns {mat2d} out + */ + public static add (out: mat2d, a: mat2d, b: mat2d): mat2d + + /** + * Subtracts matrix b from matrix a + * + * @param {mat2d} out the receiving matrix + * @param {mat2d} a the first operand + * @param {mat2d} b the second operand + * @returns {mat2d} out + */ + public static subtract(out: mat2d, a: mat2d, b: mat2d): mat2d + + /** + * Subtracts matrix b from matrix a + * + * @param {mat2d} out the receiving matrix + * @param {mat2d} a the first operand + * @param {mat2d} b the second operand + * @returns {mat2d} out + */ + public static sub(out: mat2d, a: mat2d, b: mat2d): mat2d + + /** + * Multiply each element of the matrix by a scalar. + * + * @param {mat2d} out the receiving matrix + * @param {mat2d} a the matrix to scale + * @param {number} b amount to scale the matrix's elements by + * @returns {mat2d} out + */ + public static multiplyScalar (out: mat2d, a: mat2d, b: number): mat2d; + + /** + * Adds two mat2d's after multiplying each element of the second operand by a scalar value. + * + * @param {mat2d} out the receiving vector + * @param {mat2d} a the first operand + * @param {mat2d} b the second operand + * @param {number} scale the amount to scale b's elements by before adding + * @returns {mat2d} out + */ + public static multiplyScalarAndAdd (out: mat2d, a: mat2d, b: mat2d, scale:number) : mat2d + + /** + * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===) + * + * @param {mat2d} a The first matrix. + * @param {mat2d} b The second matrix. + * @returns {boolean} True if the matrices are equal, false otherwise. + */ + public static exactEquals (a: mat2d, b: mat2d): boolean; + + /** + * Returns whether or not the matrices have approximately the same elements in the same position. + * + * @param {mat2d} a The first matrix. + * @param {mat2d} b The second matrix. + * @returns {boolean} True if the matrices are equal, false otherwise. + */ + public static equals (a: mat2d, b: mat2d): boolean +} + +// mat3 +export class mat3 extends Float32Array { + private typeMat3:number; + + /** + * Creates a new identity mat3 + * + * @returns a new 3x3 matrix + */ + public static create():mat3; + + /** + * Copies the upper-left 3x3 values into the given mat3. + * + * @param {mat3} out the receiving 3x3 matrix + * @param {mat4} a the source 4x4 matrix + * @returns {mat3} out + */ + public static fromMat4(out:mat3, a:mat4):mat3 + + /** + * Creates a new mat3 initialized with values from an existing matrix + * + * @param a matrix to clone + * @returns a new 3x3 matrix + */ + public static clone(a:mat3):mat3; + + /** + * Copy the values from one mat3 to another + * + * @param out the receiving matrix + * @param a the source matrix + * @returns out + */ + public static copy(out:mat3, a:mat3):mat3; + + /** + * Create a new mat3 with the given values + * + * @param {number} m00 Component in column 0, row 0 position (index 0) + * @param {number} m01 Component in column 0, row 1 position (index 1) + * @param {number} m02 Component in column 0, row 2 position (index 2) + * @param {number} m10 Component in column 1, row 0 position (index 3) + * @param {number} m11 Component in column 1, row 1 position (index 4) + * @param {number} m12 Component in column 1, row 2 position (index 5) + * @param {number} m20 Component in column 2, row 0 position (index 6) + * @param {number} m21 Component in column 2, row 1 position (index 7) + * @param {number} m22 Component in column 2, row 2 position (index 8) + * @returns {mat3} A new mat3 + */ + public static fromValues(m00:number, m01:number, m02:number, m10:number, m11:number, m12:number, m20:number, m21:number, m22:number):mat3; + + + /** + * Set the components of a mat3 to the given values + * + * @param {mat3} out the receiving matrix + * @param {number} m00 Component in column 0, row 0 position (index 0) + * @param {number} m01 Component in column 0, row 1 position (index 1) + * @param {number} m02 Component in column 0, row 2 position (index 2) + * @param {number} m10 Component in column 1, row 0 position (index 3) + * @param {number} m11 Component in column 1, row 1 position (index 4) + * @param {number} m12 Component in column 1, row 2 position (index 5) + * @param {number} m20 Component in column 2, row 0 position (index 6) + * @param {number} m21 Component in column 2, row 1 position (index 7) + * @param {number} m22 Component in column 2, row 2 position (index 8) + * @returns {mat3} out + */ + public static set(out:mat3, m00:number, m01:number, m02:number, m10:number, m11:number, m12:number, m20:number, m21:number, m22:number):mat3 + + /** + * Set a mat3 to the identity matrix + * + * @param out the receiving matrix + * @returns out + */ + public static identity(out:mat3):mat3; + + /** + * Transpose the values of a mat3 + * + * @param out the receiving matrix + * @param a the source matrix + * @returns out + */ + public static transpose(out:mat3, a:mat3):mat3; + + /** + * Inverts a mat3 + * + * @param out the receiving matrix + * @param a the source matrix + * @returns out + */ + public static invert(out:mat3, a:mat3):mat3; + + /** + * Calculates the adjugate of a mat3 + * + * @param out the receiving matrix + * @param a the source matrix + * @returns out + */ + public static adjoint(out:mat3, a:mat3):mat3; + + /** + * Calculates the determinant of a mat3 + * + * @param a the source matrix + * @returns determinant of a + */ + public static determinant(a:mat3):number; + + /** + * Multiplies two mat3's + * + * @param out the receiving matrix + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static multiply(out:mat3, a:mat3, b:mat3):mat3; + + /** + * Multiplies two mat3's + * + * @param out the receiving matrix + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static mul(out:mat3, a:mat3, b:mat3):mat3; + + + /** + * Translate a mat3 by the given vector + * + * @param out the receiving matrix + * @param a the matrix to translate + * @param v vector to translate by + * @returns out + */ + public static translate(out:mat3, a:mat3, v:vec3):mat3; + + /** + * Rotates a mat3 by the given angle + * + * @param out the receiving matrix + * @param a the matrix to rotate + * @param rad the angle to rotate the matrix by + * @returns out + */ + public static rotate(out:mat3, a:mat3, rad:number):mat3; + + /** + * Scales the mat3 by the dimensions in the given vec2 + * + * @param out the receiving matrix + * @param a the matrix to rotate + * @param v the vec2 to scale the matrix by + * @returns out + **/ + public static scale(out:mat3, a:mat3, v:vec2):mat3; + + /** + * Creates a matrix from a vector translation + * This is equivalent to (but much faster than): + * + * mat3.identity(dest); + * mat3.translate(dest, dest, vec); + * + * @param {mat3} out mat3 receiving operation result + * @param {vec2} v Translation vector + * @returns {mat3} out + */ + public static fromTranslation(out:mat3, v:vec2):mat3 + + /** + * Creates a matrix from a given angle + * This is equivalent to (but much faster than): + * + * mat3.identity(dest); + * mat3.rotate(dest, dest, rad); + * + * @param {mat3} out mat3 receiving operation result + * @param {number} rad the angle to rotate the matrix by + * @returns {mat3} out + */ + public static fromRotation(out:mat3, rad:number):mat3 + + /** + * Creates a matrix from a vector scaling + * This is equivalent to (but much faster than): + * + * mat3.identity(dest); + * mat3.scale(dest, dest, vec); + * + * @param {mat3} out mat3 receiving operation result + * @param {vec2} v Scaling vector + * @returns {mat3} out + */ + public static fromScaling(out:mat3, v:vec2):mat3 + + /** + * Copies the values from a mat2d into a mat3 + * + * @param out the receiving matrix + * @param {mat2d} a the matrix to copy + * @returns out + **/ + public static fromMat2d(out:mat3, a:mat2d):mat3; + + /** + * Calculates a 3x3 matrix from the given quaternion + * + * @param out mat3 receiving operation result + * @param q Quaternion to create matrix from + * + * @returns out + */ + public static fromQuat(out:mat3, q:quat):mat3; + + /** + * Calculates a 3x3 normal matrix (transpose inverse) from the 4x4 matrix + * + * @param out mat3 receiving operation result + * @param a Mat4 to derive the normal matrix from + * + * @returns out + */ + public static normalFromMat4(out:mat3, a:mat4):mat3; + + /** + * Returns a string representation of a mat3 + * + * @param mat matrix to represent as a string + * @returns string representation of the matrix + */ + public static str(mat:mat3):string; + + /** + * Returns Frobenius norm of a mat3 + * + * @param a the matrix to calculate Frobenius norm of + * @returns Frobenius norm + */ + public static frob(a:mat3):number; + + /** + * Adds two mat3's + * + * @param {mat3} out the receiving matrix + * @param {mat3} a the first operand + * @param {mat3} b the second operand + * @returns {mat3} out + */ + public static add(out:mat3, a:mat3, b:mat3):mat3 + + /** + * Subtracts matrix b from matrix a + * + * @param {mat3} out the receiving matrix + * @param {mat3} a the first operand + * @param {mat3} b the second operand + * @returns {mat3} out + */ + public static subtract(out:mat3, a:mat3, b:mat3):mat3 + + /** + * Subtracts matrix b from matrix a + * + * @param {mat3} out the receiving matrix + * @param {mat3} a the first operand + * @param {mat3} b the second operand + * @returns {mat3} out + */ + public static sub(out:mat3, a:mat3, b:mat3):mat3 + + /** + * Multiply each element of the matrix by a scalar. + * + * @param {mat3} out the receiving matrix + * @param {mat3} a the matrix to scale + * @param {number} b amount to scale the matrix's elements by + * @returns {mat3} out + */ + public static multiplyScalar(out:mat3, a:mat3, b:number):mat3 + + /** + * Adds two mat3's after multiplying each element of the second operand by a scalar value. + * + * @param {mat3} out the receiving vector + * @param {mat3} a the first operand + * @param {mat3} b the second operand + * @param {number} scale the amount to scale b's elements by before adding + * @returns {mat3} out + */ + public static multiplyScalarAndAdd(out:mat3, a:mat3, b:mat3, scale:number):mat3 + + /** + * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===) + * + * @param {mat3} a The first matrix. + * @param {mat3} b The second matrix. + * @returns {boolean} True if the matrices are equal, false otherwise. + */ + public static exactEquals(a:mat3, b:mat3):boolean; + + /** + * Returns whether or not the matrices have approximately the same elements in the same position. + * + * @param {mat3} a The first matrix. + * @param {mat3} b The second matrix. + * @returns {boolean} True if the matrices are equal, false otherwise. + */ + public static equals(a:mat3, b:mat3):boolean +} + +// mat4 +export class mat4 extends Float32Array { + private typeMat4:number; + + /** + * Creates a new identity mat4 + * + * @returns a new 4x4 matrix + */ + public static create():mat4; + + /** + * Creates a new mat4 initialized with values from an existing matrix + * + * @param a matrix to clone + * @returns a new 4x4 matrix + */ + public static clone(a:mat4):mat4; + + /** + * Copy the values from one mat4 to another + * + * @param out the receiving matrix + * @param a the source matrix + * @returns out + */ + public static copy(out:mat4, a:mat4):mat4; + + + /** + * Create a new mat4 with the given values + * + * @param {number} m00 Component in column 0, row 0 position (index 0) + * @param {number} m01 Component in column 0, row 1 position (index 1) + * @param {number} m02 Component in column 0, row 2 position (index 2) + * @param {number} m03 Component in column 0, row 3 position (index 3) + * @param {number} m10 Component in column 1, row 0 position (index 4) + * @param {number} m11 Component in column 1, row 1 position (index 5) + * @param {number} m12 Component in column 1, row 2 position (index 6) + * @param {number} m13 Component in column 1, row 3 position (index 7) + * @param {number} m20 Component in column 2, row 0 position (index 8) + * @param {number} m21 Component in column 2, row 1 position (index 9) + * @param {number} m22 Component in column 2, row 2 position (index 10) + * @param {number} m23 Component in column 2, row 3 position (index 11) + * @param {number} m30 Component in column 3, row 0 position (index 12) + * @param {number} m31 Component in column 3, row 1 position (index 13) + * @param {number} m32 Component in column 3, row 2 position (index 14) + * @param {number} m33 Component in column 3, row 3 position (index 15) + * @returns {mat4} A new mat4 + */ + public static fromValues(m00:number, m01:number, m02:number, m03:number, m10:number, m11:number, m12:number, m13:number, m20:number, m21:number, m22:number, m23:number, m30:number, m31:number, m32:number, m33:number):mat4; + + /** + * Set the components of a mat4 to the given values + * + * @param {mat4} out the receiving matrix + * @param {number} m00 Component in column 0, row 0 position (index 0) + * @param {number} m01 Component in column 0, row 1 position (index 1) + * @param {number} m02 Component in column 0, row 2 position (index 2) + * @param {number} m03 Component in column 0, row 3 position (index 3) + * @param {number} m10 Component in column 1, row 0 position (index 4) + * @param {number} m11 Component in column 1, row 1 position (index 5) + * @param {number} m12 Component in column 1, row 2 position (index 6) + * @param {number} m13 Component in column 1, row 3 position (index 7) + * @param {number} m20 Component in column 2, row 0 position (index 8) + * @param {number} m21 Component in column 2, row 1 position (index 9) + * @param {number} m22 Component in column 2, row 2 position (index 10) + * @param {number} m23 Component in column 2, row 3 position (index 11) + * @param {number} m30 Component in column 3, row 0 position (index 12) + * @param {number} m31 Component in column 3, row 1 position (index 13) + * @param {number} m32 Component in column 3, row 2 position (index 14) + * @param {number} m33 Component in column 3, row 3 position (index 15) + * @returns {mat4} out + */ + public static set(out:mat4, m00:number, m01:number, m02:number, m03:number, m10:number, m11:number, m12:number, m13:number, m20:number, m21:number, m22:number, m23:number, m30:number, m31:number, m32:number, m33:number):mat4; + + /** + * Set a mat4 to the identity matrix + * + * @param out the receiving matrix + * @returns out + */ + public static identity(out:mat4):mat4; + + /** + * Transpose the values of a mat4 + * + * @param out the receiving matrix + * @param a the source matrix + * @returns out + */ + public static transpose(out:mat4, a:mat4):mat4; + + /** + * Inverts a mat4 + * + * @param out the receiving matrix + * @param a the source matrix + * @returns out + */ + public static invert(out:mat4, a:mat4):mat4; + + /** + * Calculates the adjugate of a mat4 + * + * @param out the receiving matrix + * @param a the source matrix + * @returns out + */ + public static adjoint(out:mat4, a:mat4):mat4; + + /** + * Calculates the determinant of a mat4 + * + * @param a the source matrix + * @returns determinant of a + */ + public static determinant(a:mat4):number; + + /** + * Multiplies two mat4's + * + * @param out the receiving matrix + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static multiply(out:mat4, a:mat4, b:mat4):mat4; + + /** + * Multiplies two mat4's + * + * @param out the receiving matrix + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static mul(out:mat4, a:mat4, b:mat4):mat4; + + /** + * Translate a mat4 by the given vector + * + * @param out the receiving matrix + * @param a the matrix to translate + * @param v vector to translate by + * @returns out + */ + public static translate(out:mat4, a:mat4, v:vec3):mat4; + + /** + * Scales the mat4 by the dimensions in the given vec3 + * + * @param out the receiving matrix + * @param a the matrix to scale + * @param v the vec3 to scale the matrix by + * @returns out + **/ + public static scale(out:mat4, a:mat4, v:vec3):mat4; + + /** + * Rotates a mat4 by the given angle + * + * @param out the receiving matrix + * @param a the matrix to rotate + * @param rad the angle to rotate the matrix by + * @param axis the axis to rotate around + * @returns out + */ + public static rotate(out:mat4, a:mat4, rad:number, axis:vec3):mat4; + + /** + * Rotates a matrix by the given angle around the X axis + * + * @param out the receiving matrix + * @param a the matrix to rotate + * @param rad the angle to rotate the matrix by + * @returns out + */ + public static rotateX(out:mat4, a:mat4, rad:number):mat4; + + /** + * Rotates a matrix by the given angle around the Y axis + * + * @param out the receiving matrix + * @param a the matrix to rotate + * @param rad the angle to rotate the matrix by + * @returns out + */ + public static rotateY(out:mat4, a:mat4, rad:number):mat4; + + /** + * Rotates a matrix by the given angle around the Z axis + * + * @param out the receiving matrix + * @param a the matrix to rotate + * @param rad the angle to rotate the matrix by + * @returns out + */ + public static rotateZ(out:mat4, a:mat4, rad:number):mat4; + + /** + * Creates a matrix from a vector translation + * This is equivalent to (but much faster than): + * + * mat4.identity(dest); + * mat4.translate(dest, dest, vec); + * + * @param {mat4} out mat4 receiving operation result + * @param {vec3} v Translation vector + * @returns {mat4} out + */ + public static fromTranslation(out:mat4, v:vec3):mat4 + + /** + * Creates a matrix from a vector scaling + * This is equivalent to (but much faster than): + * + * mat4.identity(dest); + * mat4.scale(dest, dest, vec); + * + * @param {mat4} out mat4 receiving operation result + * @param {vec3} v Scaling vector + * @returns {mat4} out + */ + public static fromScaling(out:mat4, v:vec3):mat4 + + /** + * Creates a matrix from a given angle around a given axis + * This is equivalent to (but much faster than): + * + * mat4.identity(dest); + * mat4.rotate(dest, dest, rad, axis); + * + * @param {mat4} out mat4 receiving operation result + * @param {number} rad the angle to rotate the matrix by + * @param {vec3} axis the axis to rotate around + * @returns {mat4} out + */ + public static fromRotation(out:mat4, rad:number, axis:vec3):mat4 + + /** + * Creates a matrix from the given angle around the X axis + * This is equivalent to (but much faster than): + * + * mat4.identity(dest); + * mat4.rotateX(dest, dest, rad); + * + * @param {mat4} out mat4 receiving operation result + * @param {number} rad the angle to rotate the matrix by + * @returns {mat4} out + */ + public static fromXRotation(out:mat4, rad:number):mat4 + + /** + * Creates a matrix from the given angle around the Y axis + * This is equivalent to (but much faster than): + * + * mat4.identity(dest); + * mat4.rotateY(dest, dest, rad); + * + * @param {mat4} out mat4 receiving operation result + * @param {number} rad the angle to rotate the matrix by + * @returns {mat4} out + */ + public static fromYRotation(out:mat4, rad:number):mat4 + + + /** + * Creates a matrix from the given angle around the Z axis + * This is equivalent to (but much faster than): + * + * mat4.identity(dest); + * mat4.rotateZ(dest, dest, rad); + * + * @param {mat4} out mat4 receiving operation result + * @param {number} rad the angle to rotate the matrix by + * @returns {mat4} out + */ + public static fromZRotation(out:mat4, rad:number):mat4 + + /** + * Creates a matrix from a quaternion rotation and vector translation + * This is equivalent to (but much faster than): + * + * mat4.identity(dest); + * mat4.translate(dest, vec); + * var quatMat = mat4.create(); + * quat4.toMat4(quat, quatMat); + * mat4.multiply(dest, quatMat); + * + * @param out mat4 receiving operation result + * @param q Rotation quaternion + * @param v Translation vector + * @returns out + */ + public static fromRotationTranslation(out:mat4, q:quat, v:vec3):mat4; + + /** + * Returns the translation vector component of a transformation + * matrix. If a matrix is built with fromRotationTranslation, + * the returned vector will be the same as the translation vector + * originally supplied. + * @param {vec3} out Vector to receive translation component + * @param {mat4} mat Matrix to be decomposed (input) + * @return {vec3} out + */ + public static getTranslation(out:vec3, mat:mat4):vec3; + + /** + * Returns a quaternion representing the rotational component + * of a transformation matrix. If a matrix is built with + * fromRotationTranslation, the returned quaternion will be the + * same as the quaternion originally supplied. + * @param {quat} out Quaternion to receive the rotation component + * @param {mat4} mat Matrix to be decomposed (input) + * @return {quat} out + */ + public static getRotation(out:quat, mat:mat4):quat; + + /** + * Creates a matrix from a quaternion rotation, vector translation and vector scale + * This is equivalent to (but much faster than): + * + * mat4.identity(dest); + * mat4.translate(dest, vec); + * var quatMat = mat4.create(); + * quat4.toMat4(quat, quatMat); + * mat4.multiply(dest, quatMat); + * mat4.scale(dest, scale) + * + * @param out mat4 receiving operation result + * @param q Rotation quaternion + * @param v Translation vector + * @param s Scaling vector + * @returns out + */ + public static fromRotationTranslationScale(out:mat4, q:quat, v:vec3, s:vec3):mat4; + + /** + * Creates a matrix from a quaternion rotation, vector translation and vector scale, rotating and scaling around the given origin + * This is equivalent to (but much faster than): + * + * mat4.identity(dest); + * mat4.translate(dest, vec); + * mat4.translate(dest, origin); + * var quatMat = mat4.create(); + * quat4.toMat4(quat, quatMat); + * mat4.multiply(dest, quatMat); + * mat4.scale(dest, scale) + * mat4.translate(dest, negativeOrigin); + * + * @param {mat4} out mat4 receiving operation result + * @param {quat} q Rotation quaternion + * @param {vec3} v Translation vector + * @param {vec3} s Scaling vector + * @param {vec3} o The origin vector around which to scale and rotate + * @returns {mat4} out + */ + public static fromRotationTranslationScaleOrigin(out:mat4, q:quat, v:vec3, s:vec3, o:vec3):mat4 + + /** + * Calculates a 4x4 matrix from the given quaternion + * + * @param {mat4} out mat4 receiving operation result + * @param {quat} q Quaternion to create matrix from + * + * @returns {mat4} out + */ + public static fromQuat(out:mat4, q:quat):mat4 + + /** + * Generates a frustum matrix with the given bounds + * + * @param out mat4 frustum matrix will be written into + * @param left Left bound of the frustum + * @param right Right bound of the frustum + * @param bottom Bottom bound of the frustum + * @param top Top bound of the frustum + * @param near Near bound of the frustum + * @param far Far bound of the frustum + * @returns out + */ + public static frustum(out:mat4, left:number, right:number, + bottom:number, top:number, near:number, far:number):mat4; + + /** + * Generates a perspective projection matrix with the given bounds + * + * @param out mat4 frustum matrix will be written into + * @param fovy Vertical field of view in radians + * @param aspect Aspect ratio. typically viewport width/height + * @param near Near bound of the frustum + * @param far Far bound of the frustum + * @returns out + */ + public static perspective(out:mat4, fovy:number, aspect:number, + near:number, far:number):mat4; + + /** + * Generates a perspective projection matrix with the given field of view. + * This is primarily useful for generating projection matrices to be used + * with the still experimental WebVR API. + * + * @param {mat4} out mat4 frustum matrix will be written into + * @param {Object} fov Object containing the following values: upDegrees, downDegrees, leftDegrees, rightDegrees + * @param {number} near Near bound of the frustum + * @param {number} far Far bound of the frustum + * @returns {mat4} out + */ + public static perspectiveFromFieldOfView(out:mat4, + fov:{upDegrees:number, downDegrees:number, leftDegrees:number, rightDegrees:number}, + near:number, far:number):mat4 + + /** + * Generates a orthogonal projection matrix with the given bounds + * + * @param out mat4 frustum matrix will be written into + * @param left Left bound of the frustum + * @param right Right bound of the frustum + * @param bottom Bottom bound of the frustum + * @param top Top bound of the frustum + * @param near Near bound of the frustum + * @param far Far bound of the frustum + * @returns out + */ + public static ortho(out:mat4, left:number, right:number, + bottom:number, top:number, near:number, far:number):mat4; + + /** + * Generates a look-at matrix with the given eye position, focal point, and up axis + * + * @param out mat4 frustum matrix will be written into + * @param eye Position of the viewer + * @param center Point the viewer is looking at + * @param up vec3 pointing up + * @returns out + */ + public static lookAt(out:mat4, eye:vec3, center:vec3, up:vec3):mat4; + + /** + * Returns a string representation of a mat4 + * + * @param mat matrix to represent as a string + * @returns string representation of the matrix + */ + public static str(mat:mat4):string; + + /** + * Returns Frobenius norm of a mat4 + * + * @param a the matrix to calculate Frobenius norm of + * @returns Frobenius norm + */ + public static frob(a:mat4):number; + + /** + * Adds two mat4's + * + * @param {mat4} out the receiving matrix + * @param {mat4} a the first operand + * @param {mat4} b the second operand + * @returns {mat4} out + */ + public static add(out:mat4, a:mat4, b:mat4):mat4 + + /** + * Subtracts matrix b from matrix a + * + * @param {mat4} out the receiving matrix + * @param {mat4} a the first operand + * @param {mat4} b the second operand + * @returns {mat4} out + */ + public static subtract(out:mat4, a:mat4, b:mat4):mat4 + + /** + * Subtracts matrix b from matrix a + * + * @param {mat4} out the receiving matrix + * @param {mat4} a the first operand + * @param {mat4} b the second operand + * @returns {mat4} out + */ + public static sub(out:mat4, a:mat4, b:mat4):mat4 + + /** + * Multiply each element of the matrix by a scalar. + * + * @param {mat4} out the receiving matrix + * @param {mat4} a the matrix to scale + * @param {number} b amount to scale the matrix's elements by + * @returns {mat4} out + */ + public static multiplyScalar(out:mat4, a:mat4, b:number):mat4 + + /** + * Adds two mat4's after multiplying each element of the second operand by a scalar value. + * + * @param {mat4} out the receiving vector + * @param {mat4} a the first operand + * @param {mat4} b the second operand + * @param {number} scale the amount to scale b's elements by before adding + * @returns {mat4} out + */ + public static multiplyScalarAndAdd (out:mat4, a:mat4, b:mat4, scale:number):mat4 + + /** + * Returns whether or not the matrices have exactly the same elements in the same position (when compared with ===) + * + * @param {mat4} a The first matrix. + * @param {mat4} b The second matrix. + * @returns {boolean} True if the matrices are equal, false otherwise. + */ + public static exactEquals (a:mat4, b:mat4) :boolean + + /** + * Returns whether or not the matrices have approximately the same elements in the same position. + * + * @param {mat4} a The first matrix. + * @param {mat4} b The second matrix. + * @returns {boolean} True if the matrices are equal, false otherwise. + */ + public static equals (a:mat4, b:mat4): boolean + +} + +// quat +export class quat extends Float32Array { + private typeQuat:number; + + /** + * Creates a new identity quat + * + * @returns a new quaternion + */ + public static create(): quat; + + /** + * Creates a new quat initialized with values from an existing quaternion + * + * @param a quaternion to clone + * @returns a new quaternion + * @function + */ + public static clone(a: quat): quat; + + /** + * Creates a new quat initialized with the given values + * + * @param x X component + * @param y Y component + * @param z Z component + * @param w W component + * @returns a new quaternion + * @function + */ + public static fromValues(x: number, y: number, z: number, w: number): quat; + + /** + * Copy the values from one quat to another + * + * @param out the receiving quaternion + * @param a the source quaternion + * @returns out + * @function + */ + public static copy(out: quat, a: quat): quat; + + /** + * Set the components of a quat to the given values + * + * @param out the receiving quaternion + * @param x X component + * @param y Y component + * @param z Z component + * @param w W component + * @returns out + * @function + */ + public static set(out: quat, x: number, y: number, z: number, w: number): quat; + + /** + * Set a quat to the identity quaternion + * + * @param out the receiving quaternion + * @returns out + */ + public static identity(out: quat): quat; + + /** + * Sets a quaternion to represent the shortest rotation from one + * vector to another. + * + * Both vectors are assumed to be unit length. + * + * @param {quat} out the receiving quaternion. + * @param {vec3} a the initial vector + * @param {vec3} b the destination vector + * @returns {quat} out + */ + public static rotationTo (out:quat, a:vec3, b:vec3): quat; + + /** + * Sets the specified quaternion with values corresponding to the given + * axes. Each axis is a vec3 and is expected to be unit length and + * perpendicular to all other specified axes. + * + * @param {vec3} view the vector representing the viewing direction + * @param {vec3} right the vector representing the local "right" direction + * @param {vec3} up the vector representing the local "up" direction + * @returns {quat} out + */ + public static setAxes (out:quat, view:vec3, right:vec3, up:vec3):quat + + + + /** + * Sets a quat from the given angle and rotation axis, + * then returns it. + * + * @param out the receiving quaternion + * @param axis the axis around which to rotate + * @param rad the angle in radians + * @returns out + **/ + public static setAxisAngle(out: quat, axis: vec3, rad: number): quat; + + /** + * Gets the rotation axis and angle for a given + * quaternion. If a quaternion is created with + * setAxisAngle, this method will return the same + * values as providied in the original parameter list + * OR functionally equivalent values. + * Example: The quaternion formed by axis [0, 0, 1] and + * angle -90 is the same as the quaternion formed by + * [0, 0, 1] and 270. This method favors the latter. + * @param {vec3} out_axis Vector receiving the axis of rotation + * @param {quat} q Quaternion to be decomposed + * @return {number} Angle, in radians, of the rotation + */ + public static getAxisAngle (out_axis:vec3, q:quat) :number + + /** + * Adds two quat's + * + * @param out the receiving quaternion + * @param a the first operand + * @param b the second operand + * @returns out + * @function + */ + public static add(out: quat, a: quat, b: quat): quat; + + /** + * Multiplies two quat's + * + * @param out the receiving quaternion + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static multiply(out: quat, a: quat, b: quat): quat; + + /** + * Multiplies two quat's + * + * @param out the receiving quaternion + * @param a the first operand + * @param b the second operand + * @returns out + */ + public static mul(out: quat, a: quat, b: quat): quat; + + /** + * Scales a quat by a scalar number + * + * @param out the receiving vector + * @param a the vector to scale + * @param b amount to scale the vector by + * @returns out + * @function + */ + public static scale(out: quat, a: quat, b: number): quat; + + /** + * Calculates the length of a quat + * + * @param a vector to calculate length of + * @returns length of a + * @function + */ + public static length(a: quat): number; + + /** + * Calculates the length of a quat + * + * @param a vector to calculate length of + * @returns length of a + * @function + */ + public static len(a: quat): number; + + /** + * Calculates the squared length of a quat + * + * @param a vector to calculate squared length of + * @returns squared length of a + * @function + */ + public static squaredLength(a: quat): number; + + /** + * Calculates the squared length of a quat + * + * @param a vector to calculate squared length of + * @returns squared length of a + * @function + */ + public static sqrLen(a: quat): number; + + /** + * Normalize a quat + * + * @param out the receiving quaternion + * @param a quaternion to normalize + * @returns out + * @function + */ + public static normalize(out: quat, a: quat): quat; + + /** + * Calculates the dot product of two quat's + * + * @param a the first operand + * @param b the second operand + * @returns dot product of a and b + * @function + */ + public static dot(a: quat, b: quat): number; + + /** + * Performs a linear interpolation between two quat's + * + * @param out the receiving quaternion + * @param a the first operand + * @param b the second operand + * @param t interpolation amount between the two inputs + * @returns out + * @function + */ + public static lerp(out: quat, a: quat, b: quat, t: number): quat; + + /** + * Performs a spherical linear interpolation between two quat + * + * @param out the receiving quaternion + * @param a the first operand + * @param b the second operand + * @param t interpolation amount between the two inputs + * @returns out + */ + public static slerp(out:quat, a:quat, b:quat, t:number): quat; + + /** + * Performs a spherical linear interpolation with two control points + * + * @param {quat} out the receiving quaternion + * @param {quat} a the first operand + * @param {quat} b the second operand + * @param {quat} c the third operand + * @param {quat} d the fourth operand + * @param {number} t interpolation amount + * @returns {quat} out + */ + public static sqlerp(out: quat, a: quat, b: quat, c: quat, d: quat, t: number): quat; + + /** + * Calculates the inverse of a quat + * + * @param out the receiving quaternion + * @param a quat to calculate inverse of + * @returns out + */ + public static invert(out: quat, a: quat): quat; + + /** + * Calculates the conjugate of a quat + * If the quaternion is normalized, this function is faster than quat.inverse and produces the same result. + * + * @param out the receiving quaternion + * @param a quat to calculate conjugate of + * @returns out + */ + public static conjugate(out: quat, a: quat): quat; + + /** + * Returns a string representation of a quaternion + * + * @param a quat to represent as a string + * @returns string representation of the quat + */ + public static str(a: quat): string; + + /** + * Rotates a quaternion by the given angle about the X axis + * + * @param out quat receiving operation result + * @param a quat to rotate + * @param rad angle (in radians) to rotate + * @returns out + */ + public static rotateX(out: quat, a: quat, rad: number): quat; + + /** + * Rotates a quaternion by the given angle about the Y axis + * + * @param out quat receiving operation result + * @param a quat to rotate + * @param rad angle (in radians) to rotate + * @returns out + */ + public static rotateY(out: quat, a: quat, rad: number): quat; + + /** + * Rotates a quaternion by the given angle about the Z axis + * + * @param out quat receiving operation result + * @param a quat to rotate + * @param rad angle (in radians) to rotate + * @returns out + */ + public static rotateZ(out: quat, a: quat, rad: number): quat; + + /** + * Creates a quaternion from the given 3x3 rotation matrix. + * + * NOTE: The resultant quaternion is not normalized, so you should be sure + * to renormalize the quaternion yourself where necessary. + * + * @param out the receiving quaternion + * @param m rotation matrix + * @returns out + * @function + */ + public static fromMat3(out: quat, m: mat3): quat; + + /** + * Sets the specified quaternion with values corresponding to the given + * axes. Each axis is a vec3 and is expected to be unit length and + * perpendicular to all other specified axes. + * + * @param out the receiving quat + * @param view the vector representing the viewing direction + * @param right the vector representing the local "right" direction + * @param up the vector representing the local "up" direction + * @returns out + */ + public static setAxes(out: quat, view: vec3, right: vec3, up: vec3): quat; + + /** + * Sets a quaternion to represent the shortest rotation from one + * vector to another. + * + * Both vectors are assumed to be unit length. + * + * @param out the receiving quaternion. + * @param a the initial vector + * @param b the destination vector + * @returns out + */ + public static rotationTo(out: quat, a: vec3, b: vec3): quat; + + /** + * Calculates the W component of a quat from the X, Y, and Z components. + * Assumes that quaternion is 1 unit in length. + * Any existing W component will be ignored. + * + * @param out the receiving quaternion + * @param a quat to calculate W component of + * @returns out + */ + public static calculateW(out: quat, a: quat): quat; + + /** + * Returns whether or not the quaternions have exactly the same elements in the same position (when compared with ===) + * + * @param {quat} a The first vector. + * @param {quat} b The second vector. + * @returns {boolean} True if the quaternions are equal, false otherwise. + */ + public static exactEquals (a:quat, b:quat) : boolean; + + /** + * Returns whether or not the quaternions have approximately the same elements in the same position. + * + * @param {quat} a The first vector. + * @param {quat} b The second vector. + * @returns {boolean} True if the quaternions are equal, false otherwise. + */ + public static equals (a:quat, b:quat) : boolean; +}