shape_doc 0.1
Functions
/Users/mourrain/Devel/mmx/shape/include/shape/ssi_math.hpp File Reference
#include <algorithm>
#include <math.h>

Go to the source code of this file.

Functions

Function Documentation

K abs ( const K &  k) [inline]

Definition at line 7 of file ssi_math.hpp.

Referenced by EdgeListBuilder< node_t >::dist(), mmx::GLUE_102(), mmx::GLUE_200(), mmx::GLUE_23(), mmx::GLUE_51(), mmx::GLUE_61(), intersectp_coplanar_triangles(), geom::intersectp_coplanar_triangles(), intersectp_triangle3(), geom::intersectp_triangle3(), intersectp_triangles3_div(), geom::intersectp_triangles3_div(), intersectp_triangles3_isegment(), geom::intersectp_triangles3_isegment(), mmx::max_abs(), cell2d< C, REF_OF(V) >::pair(), dsearch::push(), and Sqrt().

{ return std::abs(k); };
K det22 ( const K &  a,
const K &  b,
const K &  c,
const K &  d 
) [inline]

Definition at line 10 of file ssi_math.hpp.

{ return a*d - b*c; };
K det33 ( const K &  a00,
const K &  a01,
const K &  a02,
const K &  a10,
const K &  a11,
const K &  a12,
const K &  a20,
const K &  a21,
const K &  a22 
)

Definition at line 61 of file ssi_math.hpp.

References tcoff33().

      {
        K tmp[9];
        tcoff33( tmp[0], tmp[1], tmp[2],
                 tmp[3], tmp[4], tmp[5],
                 tmp[6], tmp[7], tmp[8],
                 a00,    a01,    a02, 
                 a10,    a11,    a12,
                 a20,    a21,    a22 );
        return   a00 * tmp[0] + a10 * tmp[1] + a20 * tmp[2];
      };
void inv33 ( K &  r00,
K &  r01,
K &  r02,
K &  r10,
K &  r11,
K &  r12,
K &  r20,
K &  r21,
K &  r22,
const K &  a00,
const K &  a01,
const K &  a02,
const K &  a10,
const K &  a11,
const K &  a12,
const K &  a20,
const K &  a21,
const K &  a22 
)

Definition at line 34 of file ssi_math.hpp.

References tcoff33().

      {
        tcoff33( r00, r01, r02, 
                 r10, r11, r12,
                 r20, r21, r22,
                 a00, a01, a02,
                 a10, a11, a12,
                 a20, a21, a22 );
        K idet = 1.0/(a00*r00+a10*r01+a20*r02);
        r00 *= idet;
        r01 *= idet;
        r02 *= idet;
        r10 *= idet;
        r11 *= idet;
        r12 *= idet;
        r20 *= idet;
        r21 *= idet;
        r22 *= idet;
      };
float Sqrt ( const float &  x,
const float &  prec 
) [inline]

Definition at line 91 of file ssi_math.hpp.

{ return sqrt(x); };
double Sqrt ( const double &  x,
const double &  prec 
) [inline]

Definition at line 89 of file ssi_math.hpp.

{ return sqrt(x); };
K Sqrt ( const K &  x,
const K &  prec = 1e-19 
) [inline]

Definition at line 76 of file ssi_math.hpp.

References abs().

      {
        
        K r  = x/2;
        do 
          {
            r  = (r+(x/r))/2;
          }
        while( abs(r*r-x) > prec );
        return r;
      };
void tcoff33 ( K &  r00,
K &  r01,
K &  r02,
K &  r10,
K &  r11,
K &  r12,
K &  r20,
K &  r21,
K &  r22,
const K &  a00,
const K &  a01,
const K &  a02,
const K &  a10,
const K &  a11,
const K &  a12,
const K &  a20,
const K &  a21,
const K &  a22 
)

Definition at line 15 of file ssi_math.hpp.

Referenced by det33(), and inv33().

{
        r00 = a11*a22-a12*a21;
        r01 = -a01*a22+a02*a21;
        r02 = a01*a12-a02*a11;
        r10 = -a10*a22+a12*a20;
        r11 = a00*a22-a02*a20;
        r12 = -a00*a12+a02*a10;
        r20 = a10*a21-a11*a20;
        r21 = -a00*a21+a01*a20;
        r22 = a00*a11-a01*a10;
      };