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#ifndef __CGLA_MAT4X4_H__
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#define __CGLA_MAT4X4_H__
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#include "ExceptionStandard.h"
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#include "CGLA.h"
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#include "Vec3f.h"
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#include "Vec3Hf.h"
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#include "Vec4f.h"
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#include "ArithSqMat4x4Float.h"
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namespace CGLA
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{
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  /** Four by four float matrix.
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      This class is useful for transformations such as perspective projections
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      or translation where 3x3 matrices do not suffice. */
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  class Mat4x4f: public ArithSqMat4x4Float<Vec4f, Mat4x4f>
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    {
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    public:
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      /// Construct a Mat4x4f from four Vec4f vectors
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      Mat4x4f(Vec4f _a, Vec4f _b, Vec4f _c, Vec4f _d):
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	ArithSqMat4x4Float<Vec4f, Mat4x4f> (_a,_b,_c,_d) {}
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      /// Construct the NaN matrix
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      Mat4x4f() {}
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      /// Construct a matrix with identical elements.
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      explicit Mat4x4f(float a) : ArithSqMat4x4Float<Vec4f, Mat4x4f> (a) {}
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    };
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  /// Create a rotation _matrix. Rotates about one of the major axes.
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  Mat4x4f rotation_Mat4x4f(CGLA::Axis axis, float angle);
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  /// Create a translation matrix
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  Mat4x4f translation_Mat4x4f(const Vec3f&);
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  /// Create a scaling matrix.
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  Mat4x4f scaling_Mat4x4f(const Vec3f&);
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  /// Create an identity matrix.
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  inline Mat4x4f identity_Mat4x4f()
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    {
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      return Mat4x4f(Vec4f(1,0,0,0),
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		     Vec4f(0,1,0,0),
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		     Vec4f(0,0,1,0),
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		     Vec4f(0,0,0,1));
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    }
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  /** Compute inverse assuming that the upper-left 3x3 sub-matrix is
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      orthonormal (which is the case if the transformation is only
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      a concatenation of rotations and translations).
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  */
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  inline Mat4x4f invert_ortho(const Mat4x4f& m)
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  {
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    Vec3f rx(m[0][0], m[1][0], m[2][0]);
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    Vec3f ry(m[0][1], m[1][1], m[2][1]);
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    Vec3f rz(m[0][2], m[1][2], m[2][2]);
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    Vec3f t(m[0][3], m[1][3], m[2][3]);
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    return Mat4x4f(Vec4f(rx, -dot(t, rx)),
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		   Vec4f(ry, -dot(t, ry)),
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		   Vec4f(rz, -dot(t, rz)),
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		   Vec4f(0.0, 0.0, 0.0, 1.0));
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  }
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}
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#endif
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