Elm.Native.Matrix2D = function(elm) {
 "use strict";

 elm.Native = elm.Native || {};
 if (elm.Native.Matrix2D) return elm.Native.Matrix2D;

 if (typeof Float32Array === 'undefined'){ Float32Array = Array; }
 var A = Float32Array;

 // layout of matrix in an array is
 //
 //   | m11 m12 dx |
 //   | m21 m22 dy |
 //   |  0   0   1 |
 //
 //  new A([ m11, m12, dx, m21, m22, dy ])

 var identity = new A([1,0,0,0,1,0]);
 function matrix(m11, m21, m12, m22, dx, dy) {
     return new A([m11, m12, dx, m21, m22, dy]);
 }

 function rotate(t,m) {
     var c = Math.cos(t);
     var s = Math.sin(t);
     var m11 = m[0], m12 = m[1], m21 = m[3], m22 = m[4];
     return new A([m11*c + m12*s, -m11*s + m12*c, m[2],
                   m21*c + m22*s, -m21*s + m22*c, m[5]]);
 }
 function move(x,y,m) {
     var m11 = m[0], m12 = m[1], m21 = m[3], m22 = m[4];
     return new A([m11, m12, m11*x + m12*y + m[2],
                   m21, m22, m21*x + m22*y + m[5]]);
 }
 function scale(s,m) { return new A([m[0]*s, m[1]*s, m[2], m[3]*s, m[4]*s, m[5]]); }
 function scaleX(x,m) { return new A([m[0]*x, m[1], m[2], m[3]*x, m[4], m[5]]); }
 function scaleY(y,m) { return new A([m[0], m[1]*y, m[2], m[3], m[4]*y, m[5]]); }
 function reflectX(m) { return new A([-m[0], m[1], m[2], -m[3], m[4], m[5]]); }
 function reflectY(m) { return new A([m[0], -m[1], m[2], m[3], -m[4], m[5]]); }

 function transform(m11, m21, m12, m22, mdx, mdy, n) {
     var n11 = n[0], n12 = n[1], n21 = n[3], n22 = n[4], ndx = n[2], ndy = n[5];
     return new A([m11*n11 + m12*n21,
                   m11*n12 + m12*n22,
                   m11*ndx + m12*ndy + mdx,
                   m21*n11 + m22*n21,
                   m21*n12 + m22*n22,
                   m21*ndx + m22*ndy + mdy]);
 }

 function multiply(m, n) {
     return transform(m[0], m[3], m[1], m[4], m[2], m[5], n);
 }

 return elm.Native.Matrix2D = {
     identity:identity,
     matrix:F6(matrix),
     multiply:F2(multiply),

     transform:F7(transform),
     rotate:F2(rotate),
     move:F3(move),
     scale:F2(scale),
     scaleX:F2(scaleX),
     scaleY:F2(scaleY),
     reflectX:reflectX,
     reflectY:reflectY
 };

};