playcanvas
Version:
PlayCanvas WebGL game engine
686 lines (683 loc) • 16.8 kB
JavaScript
import { math } from './math.js';
import { Vec2 } from './vec2.js';
import { Vec3 } from './vec3.js';
import { Vec4 } from './vec4.js';
var _halfSize = new Vec2();
var x = new Vec3();
var y = new Vec3();
var z = new Vec3();
var scale = new Vec3();
class Mat4 {
static _getPerspectiveHalfSize(halfSize, fov, aspect, znear, fovIsHorizontal) {
if (fovIsHorizontal) {
halfSize.x = znear * Math.tan(fov * Math.PI / 360);
halfSize.y = halfSize.x / aspect;
} else {
halfSize.y = znear * Math.tan(fov * Math.PI / 360);
halfSize.x = halfSize.y * aspect;
}
}
add2(lhs, rhs) {
var a = lhs.data, b = rhs.data, r = this.data;
r[0] = a[0] + b[0];
r[1] = a[1] + b[1];
r[2] = a[2] + b[2];
r[3] = a[3] + b[3];
r[4] = a[4] + b[4];
r[5] = a[5] + b[5];
r[6] = a[6] + b[6];
r[7] = a[7] + b[7];
r[8] = a[8] + b[8];
r[9] = a[9] + b[9];
r[10] = a[10] + b[10];
r[11] = a[11] + b[11];
r[12] = a[12] + b[12];
r[13] = a[13] + b[13];
r[14] = a[14] + b[14];
r[15] = a[15] + b[15];
return this;
}
add(rhs) {
return this.add2(this, rhs);
}
clone() {
var cstr = this.constructor;
return new cstr().copy(this);
}
copy(rhs) {
var src = rhs.data, dst = this.data;
dst[0] = src[0];
dst[1] = src[1];
dst[2] = src[2];
dst[3] = src[3];
dst[4] = src[4];
dst[5] = src[5];
dst[6] = src[6];
dst[7] = src[7];
dst[8] = src[8];
dst[9] = src[9];
dst[10] = src[10];
dst[11] = src[11];
dst[12] = src[12];
dst[13] = src[13];
dst[14] = src[14];
dst[15] = src[15];
return this;
}
equals(rhs) {
var l = this.data, r = rhs.data;
return l[0] === r[0] && l[1] === r[1] && l[2] === r[2] && l[3] === r[3] && l[4] === r[4] && l[5] === r[5] && l[6] === r[6] && l[7] === r[7] && l[8] === r[8] && l[9] === r[9] && l[10] === r[10] && l[11] === r[11] && l[12] === r[12] && l[13] === r[13] && l[14] === r[14] && l[15] === r[15];
}
isIdentity() {
var m = this.data;
return m[0] === 1 && m[1] === 0 && m[2] === 0 && m[3] === 0 && m[4] === 0 && m[5] === 1 && m[6] === 0 && m[7] === 0 && m[8] === 0 && m[9] === 0 && m[10] === 1 && m[11] === 0 && m[12] === 0 && m[13] === 0 && m[14] === 0 && m[15] === 1;
}
mul2(lhs, rhs) {
var a = lhs.data;
var b = rhs.data;
var r = this.data;
var a00 = a[0];
var a01 = a[1];
var a02 = a[2];
var a03 = a[3];
var a10 = a[4];
var a11 = a[5];
var a12 = a[6];
var a13 = a[7];
var a20 = a[8];
var a21 = a[9];
var a22 = a[10];
var a23 = a[11];
var a30 = a[12];
var a31 = a[13];
var a32 = a[14];
var a33 = a[15];
var b0, b1, b2, b3;
b0 = b[0];
b1 = b[1];
b2 = b[2];
b3 = b[3];
r[0] = a00 * b0 + a10 * b1 + a20 * b2 + a30 * b3;
r[1] = a01 * b0 + a11 * b1 + a21 * b2 + a31 * b3;
r[2] = a02 * b0 + a12 * b1 + a22 * b2 + a32 * b3;
r[3] = a03 * b0 + a13 * b1 + a23 * b2 + a33 * b3;
b0 = b[4];
b1 = b[5];
b2 = b[6];
b3 = b[7];
r[4] = a00 * b0 + a10 * b1 + a20 * b2 + a30 * b3;
r[5] = a01 * b0 + a11 * b1 + a21 * b2 + a31 * b3;
r[6] = a02 * b0 + a12 * b1 + a22 * b2 + a32 * b3;
r[7] = a03 * b0 + a13 * b1 + a23 * b2 + a33 * b3;
b0 = b[8];
b1 = b[9];
b2 = b[10];
b3 = b[11];
r[8] = a00 * b0 + a10 * b1 + a20 * b2 + a30 * b3;
r[9] = a01 * b0 + a11 * b1 + a21 * b2 + a31 * b3;
r[10] = a02 * b0 + a12 * b1 + a22 * b2 + a32 * b3;
r[11] = a03 * b0 + a13 * b1 + a23 * b2 + a33 * b3;
b0 = b[12];
b1 = b[13];
b2 = b[14];
b3 = b[15];
r[12] = a00 * b0 + a10 * b1 + a20 * b2 + a30 * b3;
r[13] = a01 * b0 + a11 * b1 + a21 * b2 + a31 * b3;
r[14] = a02 * b0 + a12 * b1 + a22 * b2 + a32 * b3;
r[15] = a03 * b0 + a13 * b1 + a23 * b2 + a33 * b3;
return this;
}
mulAffine2(lhs, rhs) {
var a = lhs.data;
var b = rhs.data;
var r = this.data;
var a00 = a[0];
var a01 = a[1];
var a02 = a[2];
var a10 = a[4];
var a11 = a[5];
var a12 = a[6];
var a20 = a[8];
var a21 = a[9];
var a22 = a[10];
var a30 = a[12];
var a31 = a[13];
var a32 = a[14];
var b0, b1, b2;
b0 = b[0];
b1 = b[1];
b2 = b[2];
r[0] = a00 * b0 + a10 * b1 + a20 * b2;
r[1] = a01 * b0 + a11 * b1 + a21 * b2;
r[2] = a02 * b0 + a12 * b1 + a22 * b2;
r[3] = 0;
b0 = b[4];
b1 = b[5];
b2 = b[6];
r[4] = a00 * b0 + a10 * b1 + a20 * b2;
r[5] = a01 * b0 + a11 * b1 + a21 * b2;
r[6] = a02 * b0 + a12 * b1 + a22 * b2;
r[7] = 0;
b0 = b[8];
b1 = b[9];
b2 = b[10];
r[8] = a00 * b0 + a10 * b1 + a20 * b2;
r[9] = a01 * b0 + a11 * b1 + a21 * b2;
r[10] = a02 * b0 + a12 * b1 + a22 * b2;
r[11] = 0;
b0 = b[12];
b1 = b[13];
b2 = b[14];
r[12] = a00 * b0 + a10 * b1 + a20 * b2 + a30;
r[13] = a01 * b0 + a11 * b1 + a21 * b2 + a31;
r[14] = a02 * b0 + a12 * b1 + a22 * b2 + a32;
r[15] = 1;
return this;
}
mul(rhs) {
return this.mul2(this, rhs);
}
transformPoint(vec, res) {
if (res === void 0) res = new Vec3();
var m = this.data;
var { x, y, z } = vec;
res.x = x * m[0] + y * m[4] + z * m[8] + m[12];
res.y = x * m[1] + y * m[5] + z * m[9] + m[13];
res.z = x * m[2] + y * m[6] + z * m[10] + m[14];
return res;
}
transformVector(vec, res) {
if (res === void 0) res = new Vec3();
var m = this.data;
var { x, y, z } = vec;
res.x = x * m[0] + y * m[4] + z * m[8];
res.y = x * m[1] + y * m[5] + z * m[9];
res.z = x * m[2] + y * m[6] + z * m[10];
return res;
}
transformVec4(vec, res) {
if (res === void 0) res = new Vec4();
var m = this.data;
var { x, y, z, w } = vec;
res.x = x * m[0] + y * m[4] + z * m[8] + w * m[12];
res.y = x * m[1] + y * m[5] + z * m[9] + w * m[13];
res.z = x * m[2] + y * m[6] + z * m[10] + w * m[14];
res.w = x * m[3] + y * m[7] + z * m[11] + w * m[15];
return res;
}
setLookAt(position, target, up) {
z.sub2(position, target).normalize();
y.copy(up).normalize();
x.cross(y, z).normalize();
y.cross(z, x);
var r = this.data;
r[0] = x.x;
r[1] = x.y;
r[2] = x.z;
r[3] = 0;
r[4] = y.x;
r[5] = y.y;
r[6] = y.z;
r[7] = 0;
r[8] = z.x;
r[9] = z.y;
r[10] = z.z;
r[11] = 0;
r[12] = position.x;
r[13] = position.y;
r[14] = position.z;
r[15] = 1;
return this;
}
setFrustum(left, right, bottom, top, znear, zfar) {
var temp1 = 2 * znear;
var temp2 = right - left;
var temp3 = top - bottom;
var temp4 = zfar - znear;
var r = this.data;
r[0] = temp1 / temp2;
r[1] = 0;
r[2] = 0;
r[3] = 0;
r[4] = 0;
r[5] = temp1 / temp3;
r[6] = 0;
r[7] = 0;
r[8] = (right + left) / temp2;
r[9] = (top + bottom) / temp3;
r[10] = (-zfar - znear) / temp4;
r[11] = -1;
r[12] = 0;
r[13] = 0;
r[14] = -temp1 * zfar / temp4;
r[15] = 0;
return this;
}
setPerspective(fov, aspect, znear, zfar, fovIsHorizontal) {
Mat4._getPerspectiveHalfSize(_halfSize, fov, aspect, znear, fovIsHorizontal);
return this.setFrustum(-_halfSize.x, _halfSize.x, -_halfSize.y, _halfSize.y, znear, zfar);
}
setOrtho(left, right, bottom, top, near, far) {
var r = this.data;
r[0] = 2 / (right - left);
r[1] = 0;
r[2] = 0;
r[3] = 0;
r[4] = 0;
r[5] = 2 / (top - bottom);
r[6] = 0;
r[7] = 0;
r[8] = 0;
r[9] = 0;
r[10] = -2 / (far - near);
r[11] = 0;
r[12] = -(right + left) / (right - left);
r[13] = -(top + bottom) / (top - bottom);
r[14] = -(far + near) / (far - near);
r[15] = 1;
return this;
}
setFromAxisAngle(axis, angle) {
angle *= math.DEG_TO_RAD;
var { x, y, z } = axis;
var c = Math.cos(angle);
var s = Math.sin(angle);
var t = 1 - c;
var tx = t * x;
var ty = t * y;
var m = this.data;
m[0] = tx * x + c;
m[1] = tx * y + s * z;
m[2] = tx * z - s * y;
m[3] = 0;
m[4] = tx * y - s * z;
m[5] = ty * y + c;
m[6] = ty * z + s * x;
m[7] = 0;
m[8] = tx * z + s * y;
m[9] = ty * z - x * s;
m[10] = t * z * z + c;
m[11] = 0;
m[12] = 0;
m[13] = 0;
m[14] = 0;
m[15] = 1;
return this;
}
setTranslate(x, y, z) {
var m = this.data;
m[0] = 1;
m[1] = 0;
m[2] = 0;
m[3] = 0;
m[4] = 0;
m[5] = 1;
m[6] = 0;
m[7] = 0;
m[8] = 0;
m[9] = 0;
m[10] = 1;
m[11] = 0;
m[12] = x;
m[13] = y;
m[14] = z;
m[15] = 1;
return this;
}
setScale(x, y, z) {
var m = this.data;
m[0] = x;
m[1] = 0;
m[2] = 0;
m[3] = 0;
m[4] = 0;
m[5] = y;
m[6] = 0;
m[7] = 0;
m[8] = 0;
m[9] = 0;
m[10] = z;
m[11] = 0;
m[12] = 0;
m[13] = 0;
m[14] = 0;
m[15] = 1;
return this;
}
setViewport(x, y, width, height) {
var m = this.data;
m[0] = width * 0.5;
m[1] = 0;
m[2] = 0;
m[3] = 0;
m[4] = 0;
m[5] = height * 0.5;
m[6] = 0;
m[7] = 0;
m[8] = 0;
m[9] = 0;
m[10] = 0.5;
m[11] = 0;
m[12] = x + width * 0.5;
m[13] = y + height * 0.5;
m[14] = 0.5;
m[15] = 1;
return this;
}
setReflection(normal, distance) {
var a = normal.x;
var b = normal.y;
var c = normal.z;
var data = this.data;
data[0] = 1.0 - 2 * a * a;
data[1] = -2 * a * b;
data[2] = -2 * a * c;
data[3] = 0;
data[4] = -2 * a * b;
data[5] = 1.0 - 2 * b * b;
data[6] = -2 * b * c;
data[7] = 0;
data[8] = -2 * a * c;
data[9] = -2 * b * c;
data[10] = 1.0 - 2 * c * c;
data[11] = 0;
data[12] = -2 * a * distance;
data[13] = -2 * b * distance;
data[14] = -2 * c * distance;
data[15] = 1;
return this;
}
invert(src) {
if (src === void 0) src = this;
var s = src.data;
var a00 = s[0];
var a01 = s[1];
var a02 = s[2];
var a03 = s[3];
var a10 = s[4];
var a11 = s[5];
var a12 = s[6];
var a13 = s[7];
var a20 = s[8];
var a21 = s[9];
var a22 = s[10];
var a23 = s[11];
var a30 = s[12];
var a31 = s[13];
var a32 = s[14];
var a33 = s[15];
var b00 = a00 * a11 - a01 * a10;
var b01 = a00 * a12 - a02 * a10;
var b02 = a00 * a13 - a03 * a10;
var b03 = a01 * a12 - a02 * a11;
var b04 = a01 * a13 - a03 * a11;
var b05 = a02 * a13 - a03 * a12;
var b06 = a20 * a31 - a21 * a30;
var b07 = a20 * a32 - a22 * a30;
var b08 = a20 * a33 - a23 * a30;
var b09 = a21 * a32 - a22 * a31;
var b10 = a21 * a33 - a23 * a31;
var b11 = a22 * a33 - a23 * a32;
var det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
if (det === 0) {
this.setIdentity();
} else {
var invDet = 1 / det;
var t = this.data;
t[0] = (a11 * b11 - a12 * b10 + a13 * b09) * invDet;
t[1] = (-a01 * b11 + a02 * b10 - a03 * b09) * invDet;
t[2] = (a31 * b05 - a32 * b04 + a33 * b03) * invDet;
t[3] = (-a21 * b05 + a22 * b04 - a23 * b03) * invDet;
t[4] = (-a10 * b11 + a12 * b08 - a13 * b07) * invDet;
t[5] = (a00 * b11 - a02 * b08 + a03 * b07) * invDet;
t[6] = (-a30 * b05 + a32 * b02 - a33 * b01) * invDet;
t[7] = (a20 * b05 - a22 * b02 + a23 * b01) * invDet;
t[8] = (a10 * b10 - a11 * b08 + a13 * b06) * invDet;
t[9] = (-a00 * b10 + a01 * b08 - a03 * b06) * invDet;
t[10] = (a30 * b04 - a31 * b02 + a33 * b00) * invDet;
t[11] = (-a20 * b04 + a21 * b02 - a23 * b00) * invDet;
t[12] = (-a10 * b09 + a11 * b07 - a12 * b06) * invDet;
t[13] = (a00 * b09 - a01 * b07 + a02 * b06) * invDet;
t[14] = (-a30 * b03 + a31 * b01 - a32 * b00) * invDet;
t[15] = (a20 * b03 - a21 * b01 + a22 * b00) * invDet;
}
return this;
}
set(src) {
var dst = this.data;
dst[0] = src[0];
dst[1] = src[1];
dst[2] = src[2];
dst[3] = src[3];
dst[4] = src[4];
dst[5] = src[5];
dst[6] = src[6];
dst[7] = src[7];
dst[8] = src[8];
dst[9] = src[9];
dst[10] = src[10];
dst[11] = src[11];
dst[12] = src[12];
dst[13] = src[13];
dst[14] = src[14];
dst[15] = src[15];
return this;
}
setIdentity() {
var m = this.data;
m[0] = 1;
m[1] = 0;
m[2] = 0;
m[3] = 0;
m[4] = 0;
m[5] = 1;
m[6] = 0;
m[7] = 0;
m[8] = 0;
m[9] = 0;
m[10] = 1;
m[11] = 0;
m[12] = 0;
m[13] = 0;
m[14] = 0;
m[15] = 1;
return this;
}
setTRS(t, r, s) {
var qx = r.x;
var qy = r.y;
var qz = r.z;
var qw = r.w;
var sx = s.x;
var sy = s.y;
var sz = s.z;
var x2 = qx + qx;
var y2 = qy + qy;
var z2 = qz + qz;
var xx = qx * x2;
var xy = qx * y2;
var xz = qx * z2;
var yy = qy * y2;
var yz = qy * z2;
var zz = qz * z2;
var wx = qw * x2;
var wy = qw * y2;
var wz = qw * z2;
var m = this.data;
m[0] = (1 - (yy + zz)) * sx;
m[1] = (xy + wz) * sx;
m[2] = (xz - wy) * sx;
m[3] = 0;
m[4] = (xy - wz) * sy;
m[5] = (1 - (xx + zz)) * sy;
m[6] = (yz + wx) * sy;
m[7] = 0;
m[8] = (xz + wy) * sz;
m[9] = (yz - wx) * sz;
m[10] = (1 - (xx + yy)) * sz;
m[11] = 0;
m[12] = t.x;
m[13] = t.y;
m[14] = t.z;
m[15] = 1;
return this;
}
transpose(src) {
if (src === void 0) src = this;
var s = src.data;
var t = this.data;
if (s === t) {
var tmp;
tmp = s[1];
t[1] = s[4];
t[4] = tmp;
tmp = s[2];
t[2] = s[8];
t[8] = tmp;
tmp = s[3];
t[3] = s[12];
t[12] = tmp;
tmp = s[6];
t[6] = s[9];
t[9] = tmp;
tmp = s[7];
t[7] = s[13];
t[13] = tmp;
tmp = s[11];
t[11] = s[14];
t[14] = tmp;
} else {
t[0] = s[0];
t[1] = s[4];
t[2] = s[8];
t[3] = s[12];
t[4] = s[1];
t[5] = s[5];
t[6] = s[9];
t[7] = s[13];
t[8] = s[2];
t[9] = s[6];
t[10] = s[10];
t[11] = s[14];
t[12] = s[3];
t[13] = s[7];
t[14] = s[11];
t[15] = s[15];
}
return this;
}
getTranslation(t) {
if (t === void 0) t = new Vec3();
return t.set(this.data[12], this.data[13], this.data[14]);
}
getX(x) {
if (x === void 0) x = new Vec3();
return x.set(this.data[0], this.data[1], this.data[2]);
}
getY(y) {
if (y === void 0) y = new Vec3();
return y.set(this.data[4], this.data[5], this.data[6]);
}
getZ(z) {
if (z === void 0) z = new Vec3();
return z.set(this.data[8], this.data[9], this.data[10]);
}
getScale(scale) {
if (scale === void 0) scale = new Vec3();
this.getX(x);
this.getY(y);
this.getZ(z);
scale.set(x.length(), y.length(), z.length());
return scale;
}
get scaleSign() {
this.getX(x);
this.getY(y);
this.getZ(z);
x.cross(x, y);
return x.dot(z) < 0 ? -1 : 1;
}
setFromEulerAngles(ex, ey, ez) {
ex *= math.DEG_TO_RAD;
ey *= math.DEG_TO_RAD;
ez *= math.DEG_TO_RAD;
var s1 = Math.sin(-ex);
var c1 = Math.cos(-ex);
var s2 = Math.sin(-ey);
var c2 = Math.cos(-ey);
var s3 = Math.sin(-ez);
var c3 = Math.cos(-ez);
var m = this.data;
m[0] = c2 * c3;
m[1] = -c2 * s3;
m[2] = s2;
m[3] = 0;
m[4] = c1 * s3 + c3 * s1 * s2;
m[5] = c1 * c3 - s1 * s2 * s3;
m[6] = -c2 * s1;
m[7] = 0;
m[8] = s1 * s3 - c1 * c3 * s2;
m[9] = c3 * s1 + c1 * s2 * s3;
m[10] = c1 * c2;
m[11] = 0;
m[12] = 0;
m[13] = 0;
m[14] = 0;
m[15] = 1;
return this;
}
getEulerAngles(eulers) {
if (eulers === void 0) eulers = new Vec3();
this.getScale(scale);
var sx = scale.x;
var sy = scale.y;
var sz = scale.z;
if (sx === 0 || sy === 0 || sz === 0) {
return eulers.set(0, 0, 0);
}
var m = this.data;
var y = Math.asin(-m[2] / sx);
var halfPi = Math.PI * 0.5;
var x, z;
if (y < halfPi) {
if (y > -halfPi) {
x = Math.atan2(m[6] / sy, m[10] / sz);
z = Math.atan2(m[1] / sx, m[0] / sx);
} else {
z = 0;
x = -Math.atan2(m[4] / sy, m[5] / sy);
}
} else {
z = 0;
x = Math.atan2(m[4] / sy, m[5] / sy);
}
return eulers.set(x, y, z).mulScalar(math.RAD_TO_DEG);
}
toString() {
return "[" + this.data.join(', ') + "]";
}
constructor(){
this.data = new Float32Array(16);
this.data[0] = this.data[5] = this.data[10] = this.data[15] = 1;
}
}
Mat4.IDENTITY = Object.freeze(new Mat4());
Mat4.ZERO = Object.freeze(new Mat4().set([
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
]));
export { Mat4 };