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+#ifndef GFXMAT3_INCLUDED // -*- C++ -*-
+#define GFXMAT3_INCLUDED
+#if !defined(__GNUC__)
+# pragma once
+#endif
+
+/************************************************************************
+
+ 3x3 Matrix class
+
+ $Id: mat3.h 427 2004-09-27 04:45:31Z garland $
+
+ ************************************************************************/
+
+#include "vec3.h"
+
+namespace gfx
+{
+
+class Mat3
+{
+private:
+ Vec3 row[3];
+
+public:
+ // Standard constructors
+ //
+ Mat3() { *this = 0.0; }
+ Mat3(const Vec3& r0,const Vec3& r1,const Vec3& r2)
+ { row[0]=r0; row[1]=r1; row[2]=r2; }
+ Mat3(const Mat3& m) { *this = m; }
+
+ // Descriptive interface
+ //
+ typedef double value_type;
+ typedef Vec3 vector_type;
+ typedef Mat3 inverse_type;
+ static int dim() { return 3; }
+
+ // Access methods
+ //
+ double& operator()(int i, int j) { return row[i][j]; }
+ double operator()(int i, int j) const { return row[i][j]; }
+ Vec3& operator[](int i) { return row[i]; }
+ const Vec3& operator[](int i) const { return row[i]; }
+ inline Vec3 col(int i) const {return Vec3(row[0][i],row[1][i],row[2][i]);}
+
+ operator double*() { return row[0]; }
+ operator const double*() { return row[0]; }
+ operator const double*() const { return row[0]; }
+
+
+ // Assignment methods
+ //
+ inline Mat3& operator=(const Mat3& m);
+ inline Mat3& operator=(double s);
+
+ inline Mat3& operator+=(const Mat3& m);
+ inline Mat3& operator-=(const Mat3& m);
+ inline Mat3& operator*=(double s);
+ inline Mat3& operator/=(double s);
+
+
+ // Construction of standard matrices
+ //
+ static Mat3 I();
+ static Mat3 outer_product(const Vec3& u, const Vec3& v);
+ static Mat3 outer_product(const Vec3& v);
+
+ Mat3 &diag(double d);
+ Mat3 &ident() { return diag(1.0); }
+
+
+};
+
+////////////////////////////////////////////////////////////////////////
+//
+// Methods definitions
+//
+
+inline Mat3& Mat3::operator=(const Mat3& m)
+ { row[0] = m[0]; row[1] = m[1]; row[2] = m[2]; return *this; }
+
+inline Mat3& Mat3::operator=(double s)
+ { row[0]=s; row[1]=s; row[2]=s; return *this; }
+
+inline Mat3& Mat3::operator+=(const Mat3& m)
+ { row[0] += m[0]; row[1] += m[1]; row[2] += m[2]; return *this; }
+
+inline Mat3& Mat3::operator-=(const Mat3& m)
+ { row[0] -= m[0]; row[1] -= m[1]; row[2] -= m[2]; return *this; }
+
+inline Mat3& Mat3::operator*=(double s)
+ { row[0] *= s; row[1] *= s; row[2] *= s; return *this; }
+
+inline Mat3& Mat3::operator/=(double s)
+ { row[0] /= s; row[1] /= s; row[2] /= s; return *this; }
+
+////////////////////////////////////////////////////////////////////////
+//
+// Operator definitions
+//
+
+inline Mat3 operator+(const Mat3& n, const Mat3& m)
+ { return Mat3(n[0]+m[0], n[1]+m[1], n[2]+m[2]); }
+
+inline Mat3 operator-(const Mat3& n, const Mat3& m)
+ { return Mat3(n[0]-m[0], n[1]-m[1], n[2]-m[2]); }
+
+inline Mat3 operator-(const Mat3& m)
+ { return Mat3(-m[0], -m[1], -m[2]); }
+
+inline Mat3 operator*(double s, const Mat3& m)
+ { return Mat3(m[0]*s, m[1]*s, m[2]*s); }
+inline Mat3 operator*(const Mat3& m, double s)
+ { return s*m; }
+
+inline Mat3 operator/(const Mat3& m, double s)
+ { return Mat3(m[0]/s, m[1]/s, m[2]/s); }
+
+inline Vec3 operator*(const Mat3& m, const Vec3& v)
+ { return Vec3(m[0]*v, m[1]*v, m[2]*v); }
+
+extern Mat3 operator*(const Mat3& n, const Mat3& m);
+
+inline std::ostream &operator<<(std::ostream &out, const Mat3& M)
+ { return out << M[0] << std::endl << M[1] << std::endl << M[2]; }
+
+inline std::istream &operator>>(std::istream &in, Mat3& M)
+ { return in >> M[0] >> M[1] >> M[2]; }
+
+////////////////////////////////////////////////////////////////////////
+//
+// Misc. function definitions
+//
+
+inline double det(const Mat3& m) { return m[0] * (m[1] ^ m[2]); }
+
+inline double trace(const Mat3& m) { return m(0,0) + m(1,1) + m(2,2); }
+
+inline Mat3 transpose(const Mat3& m)
+ { return Mat3(m.col(0), m.col(1), m.col(2)); }
+
+extern Mat3 adjoint(const Mat3& m);
+
+extern double invert(Mat3& m_inv, const Mat3& m);
+
+inline Mat3 row_extend(const Vec3& v) { return Mat3(v, v, v); }
+
+extern Mat3 diag(const Vec3& v);
+
+extern bool eigen(const Mat3& m, Vec3& eig_vals, Vec3 eig_vecs[3]);
+
+} // namespace gfx
+
+// GFXMAT3_INCLUDED
+#endif