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<!DOCTYPE HTML>
<html><head><meta charset="UTF-8"><title>Main</title><style>html,head,body { padding:0; margin:0; }
body { font-family: calibri, helvetica, arial, sans-serif; }</style><script type="text/javascript">
(function() {
'use strict';
function F2(fun)
{
function wrapper(a) { return function(b) { return fun(a,b); }; }
wrapper.arity = 2;
wrapper.func = fun;
return wrapper;
}
function F3(fun)
{
function wrapper(a) {
return function(b) { return function(c) { return fun(a, b, c); }; };
}
wrapper.arity = 3;
wrapper.func = fun;
return wrapper;
}
function F4(fun)
{
function wrapper(a) { return function(b) { return function(c) {
return function(d) { return fun(a, b, c, d); }; }; };
}
wrapper.arity = 4;
wrapper.func = fun;
return wrapper;
}
function F5(fun)
{
function wrapper(a) { return function(b) { return function(c) {
return function(d) { return function(e) { return fun(a, b, c, d, e); }; }; }; };
}
wrapper.arity = 5;
wrapper.func = fun;
return wrapper;
}
function F6(fun)
{
function wrapper(a) { return function(b) { return function(c) {
return function(d) { return function(e) { return function(f) {
return fun(a, b, c, d, e, f); }; }; }; }; };
}
wrapper.arity = 6;
wrapper.func = fun;
return wrapper;
}
function F7(fun)
{
function wrapper(a) { return function(b) { return function(c) {
return function(d) { return function(e) { return function(f) {
return function(g) { return fun(a, b, c, d, e, f, g); }; }; }; }; }; };
}
wrapper.arity = 7;
wrapper.func = fun;
return wrapper;
}
function F8(fun)
{
function wrapper(a) { return function(b) { return function(c) {
return function(d) { return function(e) { return function(f) {
return function(g) { return function(h) {
return fun(a, b, c, d, e, f, g, h); }; }; }; }; }; }; };
}
wrapper.arity = 8;
wrapper.func = fun;
return wrapper;
}
function F9(fun)
{
function wrapper(a) { return function(b) { return function(c) {
return function(d) { return function(e) { return function(f) {
return function(g) { return function(h) { return function(i) {
return fun(a, b, c, d, e, f, g, h, i); }; }; }; }; }; }; }; };
}
wrapper.arity = 9;
wrapper.func = fun;
return wrapper;
}
function A2(fun, a, b)
{
return fun.arity === 2
? fun.func(a, b)
: fun(a)(b);
}
function A3(fun, a, b, c)
{
return fun.arity === 3
? fun.func(a, b, c)
: fun(a)(b)(c);
}
function A4(fun, a, b, c, d)
{
return fun.arity === 4
? fun.func(a, b, c, d)
: fun(a)(b)(c)(d);
}
function A5(fun, a, b, c, d, e)
{
return fun.arity === 5
? fun.func(a, b, c, d, e)
: fun(a)(b)(c)(d)(e);
}
function A6(fun, a, b, c, d, e, f)
{
return fun.arity === 6
? fun.func(a, b, c, d, e, f)
: fun(a)(b)(c)(d)(e)(f);
}
function A7(fun, a, b, c, d, e, f, g)
{
return fun.arity === 7
? fun.func(a, b, c, d, e, f, g)
: fun(a)(b)(c)(d)(e)(f)(g);
}
function A8(fun, a, b, c, d, e, f, g, h)
{
return fun.arity === 8
? fun.func(a, b, c, d, e, f, g, h)
: fun(a)(b)(c)(d)(e)(f)(g)(h);
}
function A9(fun, a, b, c, d, e, f, g, h, i)
{
return fun.arity === 9
? fun.func(a, b, c, d, e, f, g, h, i)
: fun(a)(b)(c)(d)(e)(f)(g)(h)(i);
}
/*
* Copyright (c) 2010 Mozilla Corporation
* Copyright (c) 2010 Vladimir Vukicevic
* Copyright (c) 2013 John Mayer
*
* 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.
*/
/*
* File: mjs
*
* Vector and Matrix math utilities for JavaScript, optimized for WebGL.
* Edited to work with the Elm Programming Language
*/
var _elm_community$linear_algebra$Native_MJS = function() {
/*
* Constant: MJS_VERSION
*
* mjs version number aa.bb.cc, encoded as an integer of the form:
* 0xaabbcc.
*/
var MJS_VERSION = 0x000000;
/*
* Constant: MJS_DO_ASSERT
*
* Enables or disables runtime assertions.
*
* For potentially more performance, the assert methods can be
* commented out in each place where they are called.
*/
// var MJS_DO_ASSERT = false;
/*
* Constant: MJS_FLOAT_ARRAY_TYPE
*
* The base float array type. By default, WebGLFloatArray.
*
* mjs can work with any array-like elements, but if an array
* creation is requested, it will create an array of the type
* MJS_FLOAT_ARRAY_TYPE. Also, the builtin constants such as (M4x4.I)
* will be of this type.
*/
//MJS_FLOAT_ARRAY_TYPE = WebGLFloatArray;
//MJS_FLOAT_ARRAY_TYPE = Float32Array;
var MJS_FLOAT_ARRAY_TYPE = Float64Array;
//MJS_FLOAT_ARRAY_TYPE = Array;
/*
if (MJS_DO_ASSERT) {
function MathUtils_assert(cond, msg) {
if (!cond) {
throw "Assertion failed: " + msg;
}
}
} else {
*/
function MathUtils_assert() { }
//}
/*
* Class: V3
*
* Methods for working with 3-element vectors. A vector is represented by a 3-element array.
* Any valid JavaScript array type may be used, but if new
* vectors are created they are created using the configured MJS_FLOAT_ARRAY_TYPE.
*/
var V3 = { };
V3._temp1 = new MJS_FLOAT_ARRAY_TYPE(3);
V3._temp2 = new MJS_FLOAT_ARRAY_TYPE(3);
V3._temp3 = new MJS_FLOAT_ARRAY_TYPE(3);
if (MJS_FLOAT_ARRAY_TYPE == Array) {
V3.x = [1.0, 0.0, 0.0];
V3.y = [0.0, 1.0, 0.0];
V3.z = [0.0, 0.0, 1.0];
V3.$ = function V3_$(x, y, z) {
return [x, y, z];
};
} else {
V3.x = new MJS_FLOAT_ARRAY_TYPE([1.0, 0.0, 0.0]);
V3.y = new MJS_FLOAT_ARRAY_TYPE([0.0, 1.0, 0.0]);
V3.z = new MJS_FLOAT_ARRAY_TYPE([0.0, 0.0, 1.0]);
/*
* Function: V3.$
*
* Creates a new 3-element vector with the given values.
*
* Parameters:
*
* x,y,z - the 3 elements of the new vector.
*
* Returns:
*
* A new vector containing with the given argument values.
*/
V3.$ = function V3_$(x, y, z) {
return new MJS_FLOAT_ARRAY_TYPE([x, y, z]);
};
}
V3.u = V3.x;
V3.v = V3.y;
V3.getX = function V3_getX(a) {
return a[0];
}
V3.getY = function V3_getY(a) {
return a[1];
}
V3.getZ = function V3_getZ(a) {
return a[2];
}
V3.setX = function V3_setX(x, a) {
return new MJS_FLOAT_ARRAY_TYPE([x, a[1], a[2]]);
}
V3.setY = function V3_setY(y, a) {
return new MJS_FLOAT_ARRAY_TYPE([a[0], y, a[2]]);
}
V3.setZ = function V3_setZ(z, a) {
return new MJS_FLOAT_ARRAY_TYPE([a[0], a[1], z]);
}
V3.toTuple3 = function V3_toTuple3(a) {
return {
ctor:"_Tuple3",
_0:a[0],
_1:a[1],
_2:a[2]
};
};
V3.fromTuple3 = function V3_fromTuple3(t) {
return new MJS_FLOAT_ARRAY_TYPE([t._0, t._1, t._2]);
};
V3.toRecord3 = function V3_toRecord3(a) {
return {
_:{},
x:a[0],
y:a[1],
z:a[2]
};
};
V3.fromRecord3 = function V3_fromRecord3(r) {
return new MJS_FLOAT_ARRAY_TYPE([r.x, r.y, r.z]);
};
/*
* Function: V3.add
*
* Perform r = a + b.
*
* Parameters:
*
* a - the first vector operand
* b - the second vector operand
* r - optional vector to store the result in
*
* Returns:
*
* If r is specified, returns r after performing the operation.
* Otherwise, returns a new 3-element vector with the result.
*/
V3.add = function V3_add(a, b, r) {
//MathUtils_assert(a.length == 3, "a.length == 3");
//MathUtils_assert(b.length == 3, "b.length == 3");
//MathUtils_assert(r == undefined || r.length == 3, "r == undefined || r.length == 3");
if (r == undefined)
r = new MJS_FLOAT_ARRAY_TYPE(3);
r[0] = a[0] + b[0];
r[1] = a[1] + b[1];
r[2] = a[2] + b[2];
return r;
};
/*
* Function: V3.sub
*
* Perform
* r = a - b.
*
* Parameters:
*
* a - the first vector operand
* b - the second vector operand
* r - optional vector to store the result in
*
* Returns:
*
* If r is specified, returns r after performing the operation.
* Otherwise, returns a new 3-element vector with the result.
*/
V3.sub = function V3_sub(a, b, r) {
//MathUtils_assert(a.length == 3, "a.length == 3");
//MathUtils_assert(b.length == 3, "b.length == 3");
//MathUtils_assert(r == undefined || r.length == 3, "r == undefined || r.length == 3");
if (r == undefined)
r = new MJS_FLOAT_ARRAY_TYPE(3);
r[0] = a[0] - b[0];
r[1] = a[1] - b[1];
r[2] = a[2] - b[2];
return r;
};
/*
* Function: V3.neg
*
* Perform
* r = - a.
*
* Parameters:
*
* a - the vector operand
* r - optional vector to store the result in
*
* Returns:
*
* If r is specified, returns r after performing the operation.
* Otherwise, returns a new 3-element vector with the result.
*/
V3.neg = function V3_neg(a, r) {
//MathUtils_assert(a.length == 3, "a.length == 3");
//MathUtils_assert(r == undefined || r.length == 3, "r == undefined || r.length == 3");
if (r == undefined)
r = new MJS_FLOAT_ARRAY_TYPE(3);
r[0] = - a[0];
r[1] = - a[1];
r[2] = - a[2];
return r;
};
/*
* Function: V3.direction
*
* Perform
* r = (a - b) / |a - b|. The result is the normalized
* direction from a to b.
*
* Parameters:
*
* a - the first vector operand
* b - the second vector operand
* r - optional vector to store the result in
*
* Returns:
*
* If r is specified, returns r after performing the operation.
* Otherwise, returns a new 3-element vector with the result.
*/
V3.direction = function V3_direction(a, b, r) {
//MathUtils_assert(a.length == 3, "a.length == 3");
//MathUtils_assert(b.length == 3, "b.length == 3");
//MathUtils_assert(r == undefined || r.length == 3, "r == undefined || r.length == 3");
if (r == undefined)
r = new MJS_FLOAT_ARRAY_TYPE(3);
return V3.normalize(V3.sub(a, b, r), r);
};
/*
* Function: V3.length
*
* Perform r = |a|.
*
* Parameters:
*
* a - the vector operand
*
* Returns:
*
* The length of the given vector.
*/
V3.length = function V3_length(a) {
//MathUtils_assert(a.length == 3, "a.length == 3");
return Math.sqrt(a[0]*a[0] + a[1]*a[1] + a[2]*a[2]);
};
/*
* Function: V3.lengthSquard
*
* Perform r = |a|*|a|.
*
* Parameters:
*
* a - the vector operand
*
* Returns:
*
* The square of the length of the given vector.
*/
V3.lengthSquared = function V3_lengthSquared(a) {
//MathUtils_assert(a.length == 3, "a.length == 3");
return a[0]*a[0] + a[1]*a[1] + a[2]*a[2];
};
V3.distance = function V3_distance(a, b) {
var dx = a[0] - b[0];
var dy = a[1] - b[1];
var dz = a[2] - b[2];
return Math.sqrt(dx * dx + dy * dy + dz * dz);
};
V3.distanceSquared = function V3_distanceSquared(a, b) {
var dx = a[0] - b[0];
var dy = a[1] - b[1];
var dz = a[2] - b[2];
return dx * dx + dy * dy + dz * dz;
};
/*
* Function: V3.normalize
*
* Perform r = a / |a|.
*
* Parameters:
*
* a - the vector operand
* r - optional vector to store the result in
*
* Returns:
*
* If r is specified, returns r after performing the operation.
* Otherwise, returns a new 3-element vector with the result.
*/
V3.normalize = function V3_normalize(a, r) {
//MathUtils_assert(a.length == 3, "a.length == 3");
//MathUtils_assert(r == undefined || r.length == 3, "r == undefined || r.length == 3");
if (r == undefined)
r = new MJS_FLOAT_ARRAY_TYPE(3);
var im = 1.0 / V3.length(a);
r[0] = a[0] * im;
r[1] = a[1] * im;
r[2] = a[2] * im;
return r;
};
/*
* Function: V3.scale
*
* Perform r = k * a.
*
* Parameters:
*
* a - the vector operand
* k - a scalar value
* r - optional vector to store the result in
*
* Returns:
*
* If r is specified, returns r after performing the operation.
* Otherwise, returns a new 3-element vector with the result.
*/
V3.scale = function V3_scale(k, a, r) {
//MathUtils_assert(a.length == 3, "a.length == 3");
//MathUtils_assert(r == undefined || r.length == 3, "r == undefined || r.length == 3");
if (r == undefined)
r = new MJS_FLOAT_ARRAY_TYPE(3);
r[0] = a[0] * k;
r[1] = a[1] * k;
r[2] = a[2] * k;
return r;
};
/*
* Function: V3.dot
*
* Perform
* r = dot(a, b).
*
* Parameters:
*
* a - the first vector operand
* b - the second vector operand
*
* Returns:
*
* The dot product of a and b.
*/
V3.dot = function V3_dot(a, b) {
//MathUtils_assert(a.length == 3, "a.length == 3");
//MathUtils_assert(b.length == 3, "b.length == 3");
return a[0] * b[0] +
a[1] * b[1] +
a[2] * b[2];
};
/*
* Function: V3.cross
*
* Perform r = a x b.
*
* Parameters:
*
* a - the first vector operand
* b - the second vector operand
* r - optional vector to store the result in
*
* Returns:
*
* If r is specified, returns r after performing the operation.
* Otherwise, returns a new 3-element vector with the result.
*/
V3.cross = function V3_cross(a, b, r) {
//MathUtils_assert(a.length == 3, "a.length == 3");
//MathUtils_assert(b.length == 3, "b.length == 3");
//MathUtils_assert(r == undefined || r.length == 3, "r == undefined || r.length == 3");
if (r == undefined)
r = new MJS_FLOAT_ARRAY_TYPE(3);
r[0] = a[1]*b[2] - a[2]*b[1];
r[1] = a[2]*b[0] - a[0]*b[2];
r[2] = a[0]*b[1] - a[1]*b[0];
return r;
};
/*
* Function: V3.mul4x4
*
* Perform
* r = m * v.
*
* Parameters:
*
* m - the 4x4 matrix operand
* v - the 3-element vector operand
* r - optional vector to store the result in
*
* Returns:
*
* If r is specified, returns r after performing the operation.
* Otherwise, returns a new 3-element vector with the result.
* The 4-element result vector is divided by the w component
* and returned as a 3-element vector.
*/
V3.mul4x4 = function V3_mul4x4(m, v, r) {
//MathUtils_assert(m.length == 16, "m.length == 16");
//MathUtils_assert(v.length == 3, "v.length == 3");
//MathUtils_assert(r == undefined || r.length == 3, "r == undefined || r.length == 3");
var w;
var tmp = V3._temp1;
if (r == undefined)
r = new MJS_FLOAT_ARRAY_TYPE(3);
tmp[0] = m[ 3];
tmp[1] = m[ 7];
tmp[2] = m[11];
w = V3.dot(v, tmp) + m[15];
tmp[0] = m[ 0];
tmp[1] = m[ 4];
tmp[2] = m[ 8];
r[0] = (V3.dot(v, tmp) + m[12])/w;
tmp[0] = m[ 1];
tmp[1] = m[ 5];
tmp[2] = m[ 9];
r[1] = (V3.dot(v, tmp) + m[13])/w;
tmp[0] = m[ 2];
tmp[1] = m[ 6];
tmp[2] = m[10];
r[2] = (V3.dot(v, tmp) + m[14])/w;
return r;
};
/*
* Class: M4x4
*
* Methods for working with 4x4 matrices. A matrix is represented by a 16-element array
* in column-major order. Any valid JavaScript array type may be used, but if new
* matrices are created they are created using the configured MJS_FLOAT_ARRAY_TYPE.
*/
var M4x4 = { };
M4x4._temp1 = new MJS_FLOAT_ARRAY_TYPE(16);
M4x4._temp2 = new MJS_FLOAT_ARRAY_TYPE(16);
if (MJS_FLOAT_ARRAY_TYPE == Array) {
M4x4.I = [1.0, 0.0, 0.0, 0.0,
0.0, 1.0, 0.0, 0.0,
0.0, 0.0, 1.0, 0.0,
0.0, 0.0, 0.0, 1.0];
M4x4.$ = function M4x4_$(m00, m01, m02, m03,
m04, m05, m06, m07,
m08, m09, m10, m11,
m12, m13, m14, m15)
{
return [m00, m01, m02, m03,
m04, m05, m06, m07,
m08, m09, m10, m11,
m12, m13, m14, m15];
};
} else {
M4x4.I = new MJS_FLOAT_ARRAY_TYPE([1.0, 0.0, 0.0, 0.0,
0.0, 1.0, 0.0, 0.0,
0.0, 0.0, 1.0, 0.0,
0.0, 0.0, 0.0, 1.0]);
/*
* Function: M4x4.$
*
* Creates a new 4x4 matrix with the given values.
*
* Parameters:
*
* m00..m15 - the 16 elements of the new matrix.
*
* Returns:
*
* A new matrix filled with the given argument values.
*/
M4x4.$ = function M4x4_$(m00, m01, m02, m03,
m04, m05, m06, m07,
m08, m09, m10, m11,
m12, m13, m14, m15)
{
return new MJS_FLOAT_ARRAY_TYPE([m00, m01, m02, m03,
m04, m05, m06, m07,
m08, m09, m10, m11,
m12, m13, m14, m15]);
};
}
M4x4.identity = M4x4.I;
/*
* Function: M4x4.fromList
*
* Creates a new 4x4 matrix with the given values.
*
* Parameters:
*
* list - A list of the 16 elements of the new matrix.
*
* Returns:
*
* Just a new matrix filled with the given argument values.
* Nothing, if the length of the list is not exactly 16.
*/
M4x4.fromList = function(list) {
var m = _elm_lang$core$Native_List.toArray(list);
if (m.length === 16) {
return _elm_lang$core$Maybe$Just(M4x4.$(m[0], m[1], m[2], m[3], m[4], m[5], m[6], m[7], m[8], m[9], m[10], m[11], m[12], m[13], m[14], m[15]));
} else {
return _elm_lang$core$Maybe$Nothing;
}
}
/*
* Function: M4x4.fromRecord
*
* Creates a new 4x4 matrix from the given record.
*
* Parameters:
*
* A record with m11..m44 attributes - the 16 elements of the new matrix
*
* Returns:
*
* A new matrix filled with the values from the given record.
*/
M4x4.fromRecord = function(r) {
return new MJS_FLOAT_ARRAY_TYPE([
r.m11, r.m21, r.m31, r.m41,
r.m12, r.m22, r.m32, r.m42,
r.m13, r.m23, r.m33, r.m43,
r.m14, r.m24, r.m34, r.m44
]);
}
/*
* Function: M4x4.toRecord
*
* Creates a record from the given matrix
*
* Parameters:
*
* A 4x4 matrix
*
* Returns:
*
* A new record with m11..m44 attributes - the 16 elements of the given matrix
*/
M4x4.toRecord = function(m) {
return {
m11: m[0], m21: m[1], m31: m[2], m41: m[3],
m12: m[4], m22: m[5], m32: m[6], m42: m[7],
m13: m[8], m23: m[9], m33: m[10], m43: m[11],
m14: m[12], m24: m[13], m34: m[14], m44: m[15]
};
}
/*
* Function: M4x4.topLeft3x3
*
* Return the top left 3x3 matrix from the given 4x4 matrix m.
*
* Parameters:
*
* m - the matrix
* r - optional 3x3 matrix to store the result in
*
* Returns:
*
* If r is specified, returns r after performing the operation.
* Otherwise, returns a new 3x3 matrix with the result.
*/
M4x4.topLeft3x3 = function M4x4_topLeft3x3(m, r) {
//MathUtils_assert(m.length == 16, "m.length == 16");
//MathUtils_assert(r == undefined || r.length == 9, "r == undefined || r.length == 9");
if (r == undefined)
r = new MJS_FLOAT_ARRAY_TYPE(9);
r[0] = m[0]; r[1] = m[1]; r[2] = m[2];
r[3] = m[4]; r[4] = m[5]; r[5] = m[6];
r[6] = m[8]; r[7] = m[9]; r[8] = m[10];
return r;
};
/*
* Function: M4x4.inverse
*
* Computes the inverse of the given matrix m.
*
* Parameters:
*
* m - the matrix
* r - optional 4x4 matrix to store the result in
*
* Returns:
*
* If r is specified, returns r after performing the operation.
* Otherwise, returns a new 4x4 matrix with the result.
*/
M4x4.inverse = function M4x4_inverse(m, r) {
if (r == undefined) {
r = new MJS_FLOAT_ARRAY_TYPE(16);
}
r[0] = m[5] * m[10] * m[15] - m[5] * m[11] * m[14] - m[9] * m[6] * m[15] +
m[9] * m[7] * m[14] + m[13] * m[6] * m[11] - m[13] * m[7] * m[10];
r[4] = -m[4] * m[10] * m[15] + m[4] * m[11] * m[14] + m[8] * m[6] * m[15] -
m[8] * m[7] * m[14] - m[12] * m[6] * m[11] + m[12] * m[7] * m[10];
r[8] = m[4] * m[9] * m[15] - m[4] * m[11] * m[13] - m[8] * m[5] * m[15] +
m[8] * m[7] * m[13] + m[12] * m[5] * m[11] - m[12] * m[7] * m[9];
r[12] = -m[4] * m[9] * m[14] + m[4] * m[10] * m[13] + m[8] * m[5] * m[14] -
m[8] * m[6] * m[13] - m[12] * m[5] * m[10] + m[12] * m[6] * m[9];
r[1] = -m[1] * m[10] * m[15] + m[1] * m[11] * m[14] + m[9] * m[2] * m[15] -
m[9] * m[3] * m[14] - m[13] * m[2] * m[11] + m[13] * m[3] * m[10];
r[5] = m[0] * m[10] * m[15] - m[0] * m[11] * m[14] - m[8] * m[2] * m[15] +
m[8] * m[3] * m[14] + m[12] * m[2] * m[11] - m[12] * m[3] * m[10];
r[9] = -m[0] * m[9] * m[15] + m[0] * m[11] * m[13] + m[8] * m[1] * m[15] -
m[8] * m[3] * m[13] - m[12] * m[1] * m[11] + m[12] * m[3] * m[9];
r[13] = m[0] * m[9] * m[14] - m[0] * m[10] * m[13] - m[8] * m[1] * m[14] +
m[8] * m[2] * m[13] + m[12] * m[1] * m[10] - m[12] * m[2] * m[9];
r[2] = m[1] * m[6] * m[15] - m[1] * m[7] * m[14] - m[5] * m[2] * m[15] +
m[5] * m[3] * m[14] + m[13] * m[2] * m[7] - m[13] * m[3] * m[6];
r[6] = -m[0] * m[6] * m[15] + m[0] * m[7] * m[14] + m[4] * m[2] * m[15] -
m[4] * m[3] * m[14] - m[12] * m[2] * m[7] + m[12] * m[3] * m[6];
r[10] = m[0] * m[5] * m[15] - m[0] * m[7] * m[13] - m[4] * m[1] * m[15] +
m[4] * m[3] * m[13] + m[12] * m[1] * m[7] - m[12] * m[3] * m[5];
r[14] = -m[0] * m[5] * m[14] + m[0] * m[6] * m[13] + m[4] * m[1] * m[14] -
m[4] * m[2] * m[13] - m[12] * m[1] * m[6] + m[12] * m[2] * m[5];
r[3] = -m[1] * m[6] * m[11] + m[1] * m[7] * m[10] + m[5] * m[2] * m[11] -
m[5] * m[3] * m[10] - m[9] * m[2] * m[7] + m[9] * m[3] * m[6];
r[7] = m[0] * m[6] * m[11] - m[0] * m[7] * m[10] - m[4] * m[2] * m[11] +
m[4] * m[3] * m[10] + m[8] * m[2] * m[7] - m[8] * m[3] * m[6];
r[11] = -m[0] * m[5] * m[11] + m[0] * m[7] * m[9] + m[4] * m[1] * m[11] -
m[4] * m[3] * m[9] - m[8] * m[1] * m[7] + m[8] * m[3] * m[5];
r[15] = m[0] * m[5] * m[10] - m[0] * m[6] * m[9] - m[4] * m[1] * m[10] +
m[4] * m[2] * m[9] + m[8] * m[1] * m[6] - m[8] * m[2] * m[5];
var det = m[0] * r[0] + m[1] * r[4] + m[2] * r[8] + m[3] * r[12];
if (det === 0) {
return _elm_lang$core$Maybe$Nothing;
}
det = 1.0 / det;
for (var i = 0; i < 16; i = i + 1) {
r[i] = r[i] * det;
}
return _elm_lang$core$Maybe$Just(r);
};
/*
* Function: M4x4.inverseOrthonormal
*
* Computes the inverse of the given matrix m, assuming that
* the matrix is orthonormal.
*
* Parameters:
*
* m - the matrix
* r - optional 4x4 matrix to store the result in
*
* Returns:
*
* If r is specified, returns r after performing the operation.
* Otherwise, returns a new 4x4 matrix with the result.
*/
M4x4.inverseOrthonormal = function M4x4_inverseOrthonormal(m, r) {
//MathUtils_assert(m.length == 16, "m.length == 16");
//MathUtils_assert(r == undefined || r.length == 16, "r == undefined || r.length == 16");
//MathUtils_assert(m != r, "m != r");
if (r == undefined)
r = new MJS_FLOAT_ARRAY_TYPE(16);
M4x4.transpose(m, r);
var t = [m[12], m[13], m[14]];
r[3] = r[7] = r[11] = 0;
r[12] = -V3.dot([r[0], r[4], r[8]], t);
r[13] = -V3.dot([r[1], r[5], r[9]], t);
r[14] = -V3.dot([r[2], r[6], r[10]], t);
return r;
};
/*
* Function: M4x4.inverseTo3x3
*
* Computes the inverse of the given matrix m, but calculates
* only the top left 3x3 values of the result.
*
* Parameters:
*
* m - the matrix
* r - optional 3x3 matrix to store the result in
*
* Returns:
*
* If r is specified, returns r after performing the operation.
* Otherwise, returns a new 3x3 matrix with the result.
*/
M4x4.inverseTo3x3 = function M4x4_inverseTo3x3(m, r) {
//MathUtils_assert(m.length == 16, "m.length == 16");
//MathUtils_assert(r == undefined || r.length == 9, "r == undefined || r.length == 9");
if (r == undefined)
r = new MJS_FLOAT_ARRAY_TYPE(9);
var a11 = m[10]*m[5]-m[6]*m[9],
a21 = -m[10]*m[1]+m[2]*m[9],
a31 = m[6]*m[1]-m[2]*m[5],
a12 = -m[10]*m[4]+m[6]*m[8],
a22 = m[10]*m[0]-m[2]*m[8],
a32 = -m[6]*m[0]+m[2]*m[4],
a13 = m[9]*m[4]-m[5]*m[8],
a23 = -m[9]*m[0]+m[1]*m[8],
a33 = m[5]*m[0]-m[1]*m[4];
var det = m[0]*(a11) + m[1]*(a12) + m[2]*(a13);
if (det == 0) // no inverse
throw "matrix not invertible";
var idet = 1.0 / det;
r[0] = idet*a11;
r[1] = idet*a21;
r[2] = idet*a31;
r[3] = idet*a12;
r[4] = idet*a22;
r[5] = idet*a32;
r[6] = idet*a13;
r[7] = idet*a23;
r[8] = idet*a33;
return r;
};
/*
* Function: M4x4.makeFrustum
*
* Creates a matrix for a projection frustum with the given parameters.
*
* Parameters:
*
* left - the left coordinate of the frustum
* right- the right coordinate of the frustum
* bottom - the bottom coordinate of the frustum
* top - the top coordinate of the frustum
* znear - the near z distance of the frustum
* zfar - the far z distance of the frustum
* r - optional 4x4 matrix to store the result in
*
* Returns:
*
* If r is specified, returns r after creating the projection matrix.
* Otherwise, returns a new 4x4 matrix.
*/
M4x4.makeFrustum = function M4x4_makeFrustum(left, right, bottom, top, znear, zfar, r) {
//MathUtils_assert(r == undefined || r.length == 16, "r == undefined || r.length == 16");
if (r == undefined)
r = new MJS_FLOAT_ARRAY_TYPE(16);
var X = 2*znear/(right-left);
var Y = 2*znear/(top-bottom);
var A = (right+left)/(right-left);
var B = (top+bottom)/(top-bottom);
var C = -(zfar+znear)/(zfar-znear);
var D = -2*zfar*znear/(zfar-znear);
r[0] = 2*znear/(right-left);
r[1] = 0;
r[2] = 0;
r[3] = 0;
r[4] = 0;
r[5] = 2*znear/(top-bottom);
r[6] = 0;
r[7] = 0;
r[8] = (right+left)/(right-left);
r[9] = (top+bottom)/(top-bottom);
r[10] = -(zfar+znear)/(zfar-znear);
r[11] = -1;
r[12] = 0;
r[13] = 0;
r[14] = -2*zfar*znear/(zfar-znear);
r[15] = 0;
return r;
};
/*
* Function: M4x4.makePerspective
*
* Creates a matrix for a perspective projection with the given parameters.
*