WIP Interactive globe from Nico's sources
- The globe is a bit small? Ability to control the max-min size potentially
- Is there a reason why `globe.update()` runs every second? Sounds like a lot of resources?
- Have the ability to control the `addEventListener` of the markers to do whatever (in this case, going to a route by clicking on a link with a sapper-noscroll attribute + changing the href attribute on click - the method `goto` from Sapper scrolls back to top / maybe something to fix with the current transition issues?)
- Edited in `./index.js`:
1. Using the class as `export default WebglGlobe` instead of Window (as Svelte or Sapper doesn't likayt)
- Edited in `Camera.js`:
1. Commented line 218: `e.preventDefault();` would cause this error: `[Intervention] Unable to preventDefault inside passive event listener due to target being treated as passive. See <URL>`
This commit is contained in:
765
src/globe/beam/glMatrix/mat3.js
Executable file
765
src/globe/beam/glMatrix/mat3.js
Executable file
@@ -0,0 +1,765 @@
|
||||
/* Copyright (c) 2015, Brandon Jones, Colin MacKenzie IV.
|
||||
|
||||
Permission is hereby granted, free of charge, to any person obtaining a copy
|
||||
of this software and associated documentation files (the "Software"), to deal
|
||||
in the Software without restriction, including without limitation the rights
|
||||
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
|
||||
copies of the Software, and to permit persons to whom the Software is
|
||||
furnished to do so, subject to the following conditions:
|
||||
|
||||
The above copyright notice and this permission notice shall be included in
|
||||
all copies or substantial portions of the Software.
|
||||
|
||||
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
|
||||
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
|
||||
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
|
||||
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
|
||||
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
|
||||
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
|
||||
THE SOFTWARE. */
|
||||
|
||||
import * as glMatrix from "./common";
|
||||
|
||||
/**
|
||||
* 3x3 Matrix
|
||||
* @module mat3
|
||||
*/
|
||||
|
||||
/**
|
||||
* Creates a new identity mat3
|
||||
*
|
||||
* @returns {mat3} a new 3x3 matrix
|
||||
*/
|
||||
export function create() {
|
||||
let out = new glMatrix.ARRAY_TYPE(9);
|
||||
out[0] = 1;
|
||||
out[1] = 0;
|
||||
out[2] = 0;
|
||||
out[3] = 0;
|
||||
out[4] = 1;
|
||||
out[5] = 0;
|
||||
out[6] = 0;
|
||||
out[7] = 0;
|
||||
out[8] = 1;
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* 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
|
||||
*/
|
||||
export function fromMat4(out, a) {
|
||||
out[0] = a[0];
|
||||
out[1] = a[1];
|
||||
out[2] = a[2];
|
||||
out[3] = a[4];
|
||||
out[4] = a[5];
|
||||
out[5] = a[6];
|
||||
out[6] = a[8];
|
||||
out[7] = a[9];
|
||||
out[8] = a[10];
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* Creates a new mat3 initialized with values from an existing matrix
|
||||
*
|
||||
* @param {mat3} a matrix to clone
|
||||
* @returns {mat3} a new 3x3 matrix
|
||||
*/
|
||||
export function clone(a) {
|
||||
let out = new glMatrix.ARRAY_TYPE(9);
|
||||
out[0] = a[0];
|
||||
out[1] = a[1];
|
||||
out[2] = a[2];
|
||||
out[3] = a[3];
|
||||
out[4] = a[4];
|
||||
out[5] = a[5];
|
||||
out[6] = a[6];
|
||||
out[7] = a[7];
|
||||
out[8] = a[8];
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* Copy the values from one mat3 to another
|
||||
*
|
||||
* @param {mat3} out the receiving matrix
|
||||
* @param {mat3} a the source matrix
|
||||
* @returns {mat3} out
|
||||
*/
|
||||
export function copy(out, a) {
|
||||
out[0] = a[0];
|
||||
out[1] = a[1];
|
||||
out[2] = a[2];
|
||||
out[3] = a[3];
|
||||
out[4] = a[4];
|
||||
out[5] = a[5];
|
||||
out[6] = a[6];
|
||||
out[7] = a[7];
|
||||
out[8] = a[8];
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* 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
|
||||
*/
|
||||
export function fromValues(m00, m01, m02, m10, m11, m12, m20, m21, m22) {
|
||||
let out = new glMatrix.ARRAY_TYPE(9);
|
||||
out[0] = m00;
|
||||
out[1] = m01;
|
||||
out[2] = m02;
|
||||
out[3] = m10;
|
||||
out[4] = m11;
|
||||
out[5] = m12;
|
||||
out[6] = m20;
|
||||
out[7] = m21;
|
||||
out[8] = m22;
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* 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
|
||||
*/
|
||||
export function set(out, m00, m01, m02, m10, m11, m12, m20, m21, m22) {
|
||||
out[0] = m00;
|
||||
out[1] = m01;
|
||||
out[2] = m02;
|
||||
out[3] = m10;
|
||||
out[4] = m11;
|
||||
out[5] = m12;
|
||||
out[6] = m20;
|
||||
out[7] = m21;
|
||||
out[8] = m22;
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* Set a mat3 to the identity matrix
|
||||
*
|
||||
* @param {mat3} out the receiving matrix
|
||||
* @returns {mat3} out
|
||||
*/
|
||||
export function identity(out) {
|
||||
out[0] = 1;
|
||||
out[1] = 0;
|
||||
out[2] = 0;
|
||||
out[3] = 0;
|
||||
out[4] = 1;
|
||||
out[5] = 0;
|
||||
out[6] = 0;
|
||||
out[7] = 0;
|
||||
out[8] = 1;
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* Transpose the values of a mat3
|
||||
*
|
||||
* @param {mat3} out the receiving matrix
|
||||
* @param {mat3} a the source matrix
|
||||
* @returns {mat3} out
|
||||
*/
|
||||
export function transpose(out, a) {
|
||||
// If we are transposing ourselves we can skip a few steps but have to cache some values
|
||||
if (out === a) {
|
||||
let a01 = a[1], a02 = a[2], a12 = a[5];
|
||||
out[1] = a[3];
|
||||
out[2] = a[6];
|
||||
out[3] = a01;
|
||||
out[5] = a[7];
|
||||
out[6] = a02;
|
||||
out[7] = a12;
|
||||
} else {
|
||||
out[0] = a[0];
|
||||
out[1] = a[3];
|
||||
out[2] = a[6];
|
||||
out[3] = a[1];
|
||||
out[4] = a[4];
|
||||
out[5] = a[7];
|
||||
out[6] = a[2];
|
||||
out[7] = a[5];
|
||||
out[8] = a[8];
|
||||
}
|
||||
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* Inverts a mat3
|
||||
*
|
||||
* @param {mat3} out the receiving matrix
|
||||
* @param {mat3} a the source matrix
|
||||
* @returns {mat3} out
|
||||
*/
|
||||
export function invert(out, a) {
|
||||
let a00 = a[0], a01 = a[1], a02 = a[2];
|
||||
let a10 = a[3], a11 = a[4], a12 = a[5];
|
||||
let a20 = a[6], a21 = a[7], a22 = a[8];
|
||||
|
||||
let b01 = a22 * a11 - a12 * a21;
|
||||
let b11 = -a22 * a10 + a12 * a20;
|
||||
let b21 = a21 * a10 - a11 * a20;
|
||||
|
||||
// Calculate the determinant
|
||||
let det = a00 * b01 + a01 * b11 + a02 * b21;
|
||||
|
||||
if (!det) {
|
||||
return null;
|
||||
}
|
||||
det = 1.0 / det;
|
||||
|
||||
out[0] = b01 * det;
|
||||
out[1] = (-a22 * a01 + a02 * a21) * det;
|
||||
out[2] = (a12 * a01 - a02 * a11) * det;
|
||||
out[3] = b11 * det;
|
||||
out[4] = (a22 * a00 - a02 * a20) * det;
|
||||
out[5] = (-a12 * a00 + a02 * a10) * det;
|
||||
out[6] = b21 * det;
|
||||
out[7] = (-a21 * a00 + a01 * a20) * det;
|
||||
out[8] = (a11 * a00 - a01 * a10) * det;
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* Calculates the adjugate of a mat3
|
||||
*
|
||||
* @param {mat3} out the receiving matrix
|
||||
* @param {mat3} a the source matrix
|
||||
* @returns {mat3} out
|
||||
*/
|
||||
export function adjoint(out, a) {
|
||||
let a00 = a[0], a01 = a[1], a02 = a[2];
|
||||
let a10 = a[3], a11 = a[4], a12 = a[5];
|
||||
let a20 = a[6], a21 = a[7], a22 = a[8];
|
||||
|
||||
out[0] = (a11 * a22 - a12 * a21);
|
||||
out[1] = (a02 * a21 - a01 * a22);
|
||||
out[2] = (a01 * a12 - a02 * a11);
|
||||
out[3] = (a12 * a20 - a10 * a22);
|
||||
out[4] = (a00 * a22 - a02 * a20);
|
||||
out[5] = (a02 * a10 - a00 * a12);
|
||||
out[6] = (a10 * a21 - a11 * a20);
|
||||
out[7] = (a01 * a20 - a00 * a21);
|
||||
out[8] = (a00 * a11 - a01 * a10);
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* Calculates the determinant of a mat3
|
||||
*
|
||||
* @param {mat3} a the source matrix
|
||||
* @returns {Number} determinant of a
|
||||
*/
|
||||
export function determinant(a) {
|
||||
let a00 = a[0], a01 = a[1], a02 = a[2];
|
||||
let a10 = a[3], a11 = a[4], a12 = a[5];
|
||||
let a20 = a[6], a21 = a[7], a22 = a[8];
|
||||
|
||||
return a00 * (a22 * a11 - a12 * a21) + a01 * (-a22 * a10 + a12 * a20) + a02 * (a21 * a10 - a11 * a20);
|
||||
}
|
||||
|
||||
/**
|
||||
* Multiplies two mat3's
|
||||
*
|
||||
* @param {mat3} out the receiving matrix
|
||||
* @param {mat3} a the first operand
|
||||
* @param {mat3} b the second operand
|
||||
* @returns {mat3} out
|
||||
*/
|
||||
export function multiply(out, a, b) {
|
||||
let a00 = a[0], a01 = a[1], a02 = a[2];
|
||||
let a10 = a[3], a11 = a[4], a12 = a[5];
|
||||
let a20 = a[6], a21 = a[7], a22 = a[8];
|
||||
|
||||
let b00 = b[0], b01 = b[1], b02 = b[2];
|
||||
let b10 = b[3], b11 = b[4], b12 = b[5];
|
||||
let b20 = b[6], b21 = b[7], b22 = b[8];
|
||||
|
||||
out[0] = b00 * a00 + b01 * a10 + b02 * a20;
|
||||
out[1] = b00 * a01 + b01 * a11 + b02 * a21;
|
||||
out[2] = b00 * a02 + b01 * a12 + b02 * a22;
|
||||
|
||||
out[3] = b10 * a00 + b11 * a10 + b12 * a20;
|
||||
out[4] = b10 * a01 + b11 * a11 + b12 * a21;
|
||||
out[5] = b10 * a02 + b11 * a12 + b12 * a22;
|
||||
|
||||
out[6] = b20 * a00 + b21 * a10 + b22 * a20;
|
||||
out[7] = b20 * a01 + b21 * a11 + b22 * a21;
|
||||
out[8] = b20 * a02 + b21 * a12 + b22 * a22;
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* Translate a mat3 by the given vector
|
||||
*
|
||||
* @param {mat3} out the receiving matrix
|
||||
* @param {mat3} a the matrix to translate
|
||||
* @param {vec2} v vector to translate by
|
||||
* @returns {mat3} out
|
||||
*/
|
||||
export function translate(out, a, v) {
|
||||
let a00 = a[0], a01 = a[1], a02 = a[2],
|
||||
a10 = a[3], a11 = a[4], a12 = a[5],
|
||||
a20 = a[6], a21 = a[7], a22 = a[8],
|
||||
x = v[0], y = v[1];
|
||||
|
||||
out[0] = a00;
|
||||
out[1] = a01;
|
||||
out[2] = a02;
|
||||
|
||||
out[3] = a10;
|
||||
out[4] = a11;
|
||||
out[5] = a12;
|
||||
|
||||
out[6] = x * a00 + y * a10 + a20;
|
||||
out[7] = x * a01 + y * a11 + a21;
|
||||
out[8] = x * a02 + y * a12 + a22;
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* Rotates a mat3 by the given angle
|
||||
*
|
||||
* @param {mat3} out the receiving matrix
|
||||
* @param {mat3} a the matrix to rotate
|
||||
* @param {Number} rad the angle to rotate the matrix by
|
||||
* @returns {mat3} out
|
||||
*/
|
||||
export function rotate(out, a, rad) {
|
||||
let a00 = a[0], a01 = a[1], a02 = a[2],
|
||||
a10 = a[3], a11 = a[4], a12 = a[5],
|
||||
a20 = a[6], a21 = a[7], a22 = a[8],
|
||||
|
||||
s = Math.sin(rad),
|
||||
c = Math.cos(rad);
|
||||
|
||||
out[0] = c * a00 + s * a10;
|
||||
out[1] = c * a01 + s * a11;
|
||||
out[2] = c * a02 + s * a12;
|
||||
|
||||
out[3] = c * a10 - s * a00;
|
||||
out[4] = c * a11 - s * a01;
|
||||
out[5] = c * a12 - s * a02;
|
||||
|
||||
out[6] = a20;
|
||||
out[7] = a21;
|
||||
out[8] = a22;
|
||||
return out;
|
||||
};
|
||||
|
||||
/**
|
||||
* Scales the mat3 by the dimensions in the given vec2
|
||||
*
|
||||
* @param {mat3} out the receiving matrix
|
||||
* @param {mat3} a the matrix to rotate
|
||||
* @param {vec2} v the vec2 to scale the matrix by
|
||||
* @returns {mat3} out
|
||||
**/
|
||||
export function scale(out, a, v) {
|
||||
let x = v[0], y = v[1];
|
||||
|
||||
out[0] = x * a[0];
|
||||
out[1] = x * a[1];
|
||||
out[2] = x * a[2];
|
||||
|
||||
out[3] = y * a[3];
|
||||
out[4] = y * a[4];
|
||||
out[5] = y * a[5];
|
||||
|
||||
out[6] = a[6];
|
||||
out[7] = a[7];
|
||||
out[8] = a[8];
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* 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
|
||||
*/
|
||||
export function fromTranslation(out, v) {
|
||||
out[0] = 1;
|
||||
out[1] = 0;
|
||||
out[2] = 0;
|
||||
out[3] = 0;
|
||||
out[4] = 1;
|
||||
out[5] = 0;
|
||||
out[6] = v[0];
|
||||
out[7] = v[1];
|
||||
out[8] = 1;
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* 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
|
||||
*/
|
||||
export function fromRotation(out, rad) {
|
||||
let s = Math.sin(rad), c = Math.cos(rad);
|
||||
|
||||
out[0] = c;
|
||||
out[1] = s;
|
||||
out[2] = 0;
|
||||
|
||||
out[3] = -s;
|
||||
out[4] = c;
|
||||
out[5] = 0;
|
||||
|
||||
out[6] = 0;
|
||||
out[7] = 0;
|
||||
out[8] = 1;
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* 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
|
||||
*/
|
||||
export function fromScaling(out, v) {
|
||||
out[0] = v[0];
|
||||
out[1] = 0;
|
||||
out[2] = 0;
|
||||
|
||||
out[3] = 0;
|
||||
out[4] = v[1];
|
||||
out[5] = 0;
|
||||
|
||||
out[6] = 0;
|
||||
out[7] = 0;
|
||||
out[8] = 1;
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* Copies the values from a mat2d into a mat3
|
||||
*
|
||||
* @param {mat3} out the receiving matrix
|
||||
* @param {mat2d} a the matrix to copy
|
||||
* @returns {mat3} out
|
||||
**/
|
||||
export function fromMat2d(out, a) {
|
||||
out[0] = a[0];
|
||||
out[1] = a[1];
|
||||
out[2] = 0;
|
||||
|
||||
out[3] = a[2];
|
||||
out[4] = a[3];
|
||||
out[5] = 0;
|
||||
|
||||
out[6] = a[4];
|
||||
out[7] = a[5];
|
||||
out[8] = 1;
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* Calculates a 3x3 matrix from the given quaternion
|
||||
*
|
||||
* @param {mat3} out mat3 receiving operation result
|
||||
* @param {quat} q Quaternion to create matrix from
|
||||
*
|
||||
* @returns {mat3} out
|
||||
*/
|
||||
export function fromQuat(out, q) {
|
||||
let x = q[0], y = q[1], z = q[2], w = q[3];
|
||||
let x2 = x + x;
|
||||
let y2 = y + y;
|
||||
let z2 = z + z;
|
||||
|
||||
let xx = x * x2;
|
||||
let yx = y * x2;
|
||||
let yy = y * y2;
|
||||
let zx = z * x2;
|
||||
let zy = z * y2;
|
||||
let zz = z * z2;
|
||||
let wx = w * x2;
|
||||
let wy = w * y2;
|
||||
let wz = w * z2;
|
||||
|
||||
out[0] = 1 - yy - zz;
|
||||
out[3] = yx - wz;
|
||||
out[6] = zx + wy;
|
||||
|
||||
out[1] = yx + wz;
|
||||
out[4] = 1 - xx - zz;
|
||||
out[7] = zy - wx;
|
||||
|
||||
out[2] = zx - wy;
|
||||
out[5] = zy + wx;
|
||||
out[8] = 1 - xx - yy;
|
||||
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* Calculates a 3x3 normal matrix (transpose inverse) from the 4x4 matrix
|
||||
*
|
||||
* @param {mat3} out mat3 receiving operation result
|
||||
* @param {mat4} a Mat4 to derive the normal matrix from
|
||||
*
|
||||
* @returns {mat3} out
|
||||
*/
|
||||
export function normalFromMat4(out, a) {
|
||||
let a00 = a[0], a01 = a[1], a02 = a[2], a03 = a[3];
|
||||
let a10 = a[4], a11 = a[5], a12 = a[6], a13 = a[7];
|
||||
let a20 = a[8], a21 = a[9], a22 = a[10], a23 = a[11];
|
||||
let a30 = a[12], a31 = a[13], a32 = a[14], a33 = a[15];
|
||||
|
||||
let b00 = a00 * a11 - a01 * a10;
|
||||
let b01 = a00 * a12 - a02 * a10;
|
||||
let b02 = a00 * a13 - a03 * a10;
|
||||
let b03 = a01 * a12 - a02 * a11;
|
||||
let b04 = a01 * a13 - a03 * a11;
|
||||
let b05 = a02 * a13 - a03 * a12;
|
||||
let b06 = a20 * a31 - a21 * a30;
|
||||
let b07 = a20 * a32 - a22 * a30;
|
||||
let b08 = a20 * a33 - a23 * a30;
|
||||
let b09 = a21 * a32 - a22 * a31;
|
||||
let b10 = a21 * a33 - a23 * a31;
|
||||
let b11 = a22 * a33 - a23 * a32;
|
||||
|
||||
// Calculate the determinant
|
||||
let det = b00 * b11 - b01 * b10 + b02 * b09 + b03 * b08 - b04 * b07 + b05 * b06;
|
||||
|
||||
if (!det) {
|
||||
return null;
|
||||
}
|
||||
det = 1.0 / det;
|
||||
|
||||
out[0] = (a11 * b11 - a12 * b10 + a13 * b09) * det;
|
||||
out[1] = (a12 * b08 - a10 * b11 - a13 * b07) * det;
|
||||
out[2] = (a10 * b10 - a11 * b08 + a13 * b06) * det;
|
||||
|
||||
out[3] = (a02 * b10 - a01 * b11 - a03 * b09) * det;
|
||||
out[4] = (a00 * b11 - a02 * b08 + a03 * b07) * det;
|
||||
out[5] = (a01 * b08 - a00 * b10 - a03 * b06) * det;
|
||||
|
||||
out[6] = (a31 * b05 - a32 * b04 + a33 * b03) * det;
|
||||
out[7] = (a32 * b02 - a30 * b05 - a33 * b01) * det;
|
||||
out[8] = (a30 * b04 - a31 * b02 + a33 * b00) * det;
|
||||
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* Generates a 2D projection matrix with the given bounds
|
||||
*
|
||||
* @param {mat3} out mat3 frustum matrix will be written into
|
||||
* @param {number} width Width of your gl context
|
||||
* @param {number} height Height of gl context
|
||||
* @returns {mat3} out
|
||||
*/
|
||||
export function projection(out, width, height) {
|
||||
out[0] = 2 / width;
|
||||
out[1] = 0;
|
||||
out[2] = 0;
|
||||
out[3] = 0;
|
||||
out[4] = -2 / height;
|
||||
out[5] = 0;
|
||||
out[6] = -1;
|
||||
out[7] = 1;
|
||||
out[8] = 1;
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* Returns a string representation of a mat3
|
||||
*
|
||||
* @param {mat3} a matrix to represent as a string
|
||||
* @returns {String} string representation of the matrix
|
||||
*/
|
||||
export function str(a) {
|
||||
return 'mat3(' + a[0] + ', ' + a[1] + ', ' + a[2] + ', ' +
|
||||
a[3] + ', ' + a[4] + ', ' + a[5] + ', ' +
|
||||
a[6] + ', ' + a[7] + ', ' + a[8] + ')';
|
||||
}
|
||||
|
||||
/**
|
||||
* Returns Frobenius norm of a mat3
|
||||
*
|
||||
* @param {mat3} a the matrix to calculate Frobenius norm of
|
||||
* @returns {Number} Frobenius norm
|
||||
*/
|
||||
export function frob(a) {
|
||||
return(Math.sqrt(Math.pow(a[0], 2) + Math.pow(a[1], 2) + Math.pow(a[2], 2) + Math.pow(a[3], 2) + Math.pow(a[4], 2) + Math.pow(a[5], 2) + Math.pow(a[6], 2) + Math.pow(a[7], 2) + Math.pow(a[8], 2)))
|
||||
}
|
||||
|
||||
/**
|
||||
* 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
|
||||
*/
|
||||
export function add(out, a, b) {
|
||||
out[0] = a[0] + b[0];
|
||||
out[1] = a[1] + b[1];
|
||||
out[2] = a[2] + b[2];
|
||||
out[3] = a[3] + b[3];
|
||||
out[4] = a[4] + b[4];
|
||||
out[5] = a[5] + b[5];
|
||||
out[6] = a[6] + b[6];
|
||||
out[7] = a[7] + b[7];
|
||||
out[8] = a[8] + b[8];
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* 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
|
||||
*/
|
||||
export function subtract(out, a, b) {
|
||||
out[0] = a[0] - b[0];
|
||||
out[1] = a[1] - b[1];
|
||||
out[2] = a[2] - b[2];
|
||||
out[3] = a[3] - b[3];
|
||||
out[4] = a[4] - b[4];
|
||||
out[5] = a[5] - b[5];
|
||||
out[6] = a[6] - b[6];
|
||||
out[7] = a[7] - b[7];
|
||||
out[8] = a[8] - b[8];
|
||||
return out;
|
||||
}
|
||||
|
||||
|
||||
|
||||
/**
|
||||
* 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
|
||||
*/
|
||||
export function multiplyScalar(out, a, b) {
|
||||
out[0] = a[0] * b;
|
||||
out[1] = a[1] * b;
|
||||
out[2] = a[2] * b;
|
||||
out[3] = a[3] * b;
|
||||
out[4] = a[4] * b;
|
||||
out[5] = a[5] * b;
|
||||
out[6] = a[6] * b;
|
||||
out[7] = a[7] * b;
|
||||
out[8] = a[8] * b;
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* 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
|
||||
*/
|
||||
export function multiplyScalarAndAdd(out, a, b, scale) {
|
||||
out[0] = a[0] + (b[0] * scale);
|
||||
out[1] = a[1] + (b[1] * scale);
|
||||
out[2] = a[2] + (b[2] * scale);
|
||||
out[3] = a[3] + (b[3] * scale);
|
||||
out[4] = a[4] + (b[4] * scale);
|
||||
out[5] = a[5] + (b[5] * scale);
|
||||
out[6] = a[6] + (b[6] * scale);
|
||||
out[7] = a[7] + (b[7] * scale);
|
||||
out[8] = a[8] + (b[8] * scale);
|
||||
return out;
|
||||
}
|
||||
|
||||
/**
|
||||
* 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.
|
||||
*/
|
||||
export function exactEquals(a, b) {
|
||||
return a[0] === b[0] && a[1] === b[1] && a[2] === b[2] &&
|
||||
a[3] === b[3] && a[4] === b[4] && a[5] === b[5] &&
|
||||
a[6] === b[6] && a[7] === b[7] && a[8] === b[8];
|
||||
}
|
||||
|
||||
/**
|
||||
* 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.
|
||||
*/
|
||||
export function equals(a, b) {
|
||||
let a0 = a[0], a1 = a[1], a2 = a[2], a3 = a[3], a4 = a[4], a5 = a[5], a6 = a[6], a7 = a[7], a8 = a[8];
|
||||
let b0 = b[0], b1 = b[1], b2 = b[2], b3 = b[3], b4 = b[4], b5 = b[5], b6 = b[6], b7 = b[7], b8 = b[8];
|
||||
return (Math.abs(a0 - b0) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a0), Math.abs(b0)) &&
|
||||
Math.abs(a1 - b1) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a1), Math.abs(b1)) &&
|
||||
Math.abs(a2 - b2) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a2), Math.abs(b2)) &&
|
||||
Math.abs(a3 - b3) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a3), Math.abs(b3)) &&
|
||||
Math.abs(a4 - b4) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a4), Math.abs(b4)) &&
|
||||
Math.abs(a5 - b5) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a5), Math.abs(b5)) &&
|
||||
Math.abs(a6 - b6) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a6), Math.abs(b6)) &&
|
||||
Math.abs(a7 - b7) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a7), Math.abs(b7)) &&
|
||||
Math.abs(a8 - b8) <= glMatrix.EPSILON*Math.max(1.0, Math.abs(a8), Math.abs(b8)));
|
||||
}
|
||||
|
||||
/**
|
||||
* Alias for {@link mat3.multiply}
|
||||
* @function
|
||||
*/
|
||||
export const mul = multiply;
|
||||
|
||||
/**
|
||||
* Alias for {@link mat3.subtract}
|
||||
* @function
|
||||
*/
|
||||
export const sub = subtract;
|
||||
Reference in New Issue
Block a user