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sign_of_determinant.h File Reference
#include <CGAL/determinant.h>
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Functions

template<class FT >
CGAL_BEGIN_NAMESPACE Sign sign_of_determinant2x2 (const FT &a00, const FT &a01, const FT &a10, const FT &a11)
 
template<class FT >
Sign sign_of_determinant3x3 (const FT &a00, const FT &a01, const FT &a02, const FT &a10, const FT &a11, const FT &a12, const FT &a20, const FT &a21, const FT &a22)
 
template<class FT >
Sign sign_of_determinant4x4 (const FT &a00, const FT &a01, const FT &a02, const FT &a03, const FT &a10, const FT &a11, const FT &a12, const FT &a13, const FT &a20, const FT &a21, const FT &a22, const FT &a23, const FT &a30, const FT &a31, const FT &a32, const FT &a33)
 
template<class FT >
CGAL_KERNEL_LARGE_INLINE Sign sign_of_determinant5x5 (const FT &a00, const FT &a01, const FT &a02, const FT &a03, const FT &a04, const FT &a10, const FT &a11, const FT &a12, const FT &a13, const FT &a14, const FT &a20, const FT &a21, const FT &a22, const FT &a23, const FT &a24, const FT &a30, const FT &a31, const FT &a32, const FT &a33, const FT &a34, const FT &a40, const FT &a41, const FT &a42, const FT &a43, const FT &a44)
 
template<class FT >
CGAL_KERNEL_LARGE_INLINE Sign sign_of_determinant6x6 (const FT &a00, const FT &a01, const FT &a02, const FT &a03, const FT &a04, const FT &a05, const FT &a10, const FT &a11, const FT &a12, const FT &a13, const FT &a14, const FT &a15, const FT &a20, const FT &a21, const FT &a22, const FT &a23, const FT &a24, const FT &a25, const FT &a30, const FT &a31, const FT &a32, const FT &a33, const FT &a34, const FT &a35, const FT &a40, const FT &a41, const FT &a42, const FT &a43, const FT &a44, const FT &a45, const FT &a50, const FT &a51, const FT &a52, const FT &a53, const FT &a54, const FT &a55)
 

Function Documentation

CGAL_BEGIN_NAMESPACE Sign sign_of_determinant2x2 ( const FT &  a00,
const FT &  a01,
const FT &  a10,
const FT &  a11 
)
inline

Definition at line 63 of file sign_of_determinant.h.

References CGAL_NTS, and CGAL::compare().

Referenced by collinearC3(), compare_angle_with_x_axisC2(), compare_xC2(), compare_y_at_xC2(), equal_directionC2(), equal_directionC3(), equal_lineC2(), Aff_transformation_repS2< FT >::is_even(), orientationC2(), and side_of_oriented_circleC2().

65 {
66  return
67  static_cast<Sign>(static_cast<int>(CGAL_NTS compare( a00*a11, a10*a01)));
68 }
Sign
Sign
Definition: enum.h:57
CGAL::compare
CGAL_KERNEL_INLINE Comparison_result compare(const NT &n1, const NT &n2)
Definition: number_utils.h:143
CGAL_NTS
#define CGAL_NTS
Definition: CGAL/include/CGAL/basic.h:58

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Sign sign_of_determinant3x3 ( const FT &  a00,
const FT &  a01,
const FT &  a02,
const FT &  a10,
const FT &  a11,
const FT &  a12,
const FT &  a20,
const FT &  a21,
const FT &  a22 
)
inline

Definition at line 73 of file sign_of_determinant.h.

References CGAL_NTS, det3x3_by_formula(), and sign().

Referenced by cmp_signed_dist_to_planeC3(), compare_y_at_xC2(), Aff_transformation_repS3< FT >::is_even(), and orientationC3().

76 {
77  return CGAL_NTS sign(det3x3_by_formula(a00, a01, a02,
78  a10, a11, a12,
79  a20, a21, a22));
80 }
sign
static SURF_BEGIN_NAMESPACE double sign(double x)
Definition: compute_curvature.C:31
det3x3_by_formula
CGAL_KERNEL_MEDIUM_INLINE FT det3x3_by_formula(const FT &a00, const FT &a01, const FT &a02, const FT &a10, const FT &a11, const FT &a12, const FT &a20, const FT &a21, const FT &a22)
Definition: determinant.h:71
CGAL_NTS
#define CGAL_NTS
Definition: CGAL/include/CGAL/basic.h:58

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Sign sign_of_determinant4x4 ( const FT &  a00,
const FT &  a01,
const FT &  a02,
const FT &  a03,
const FT &  a10,
const FT &  a11,
const FT &  a12,
const FT &  a13,
const FT &  a20,
const FT &  a21,
const FT &  a22,
const FT &  a23,
const FT &  a30,
const FT &  a31,
const FT &  a32,
const FT &  a33 
)
inline

Definition at line 85 of file sign_of_determinant.h.

References CGAL_NTS, det4x4_by_formula(), and sign().

Referenced by side_of_oriented_sphereC3().

90 {
91  return CGAL_NTS sign(det4x4_by_formula(a00, a01, a02, a03,
92  a10, a11, a12, a13,
93  a20, a21, a22, a23,
94  a30, a31, a32, a33));
95 }
sign
static SURF_BEGIN_NAMESPACE double sign(double x)
Definition: compute_curvature.C:31
det4x4_by_formula
CGAL_KERNEL_LARGE_INLINE FT det4x4_by_formula(const FT &a00, const FT &a01, const FT &a02, const FT &a03, const FT &a10, const FT &a11, const FT &a12, const FT &a13, const FT &a20, const FT &a21, const FT &a22, const FT &a23, const FT &a30, const FT &a31, const FT &a32, const FT &a33)
Definition: determinant.h:88
CGAL_NTS
#define CGAL_NTS
Definition: CGAL/include/CGAL/basic.h:58

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CGAL_KERNEL_LARGE_INLINE Sign sign_of_determinant5x5 ( const FT &  a00,
const FT &  a01,
const FT &  a02,
const FT &  a03,
const FT &  a04,
const FT &  a10,
const FT &  a11,
const FT &  a12,
const FT &  a13,
const FT &  a14,
const FT &  a20,
const FT &  a21,
const FT &  a22,
const FT &  a23,
const FT &  a24,
const FT &  a30,
const FT &  a31,
const FT &  a32,
const FT &  a33,
const FT &  a34,
const FT &  a40,
const FT &  a41,
const FT &  a42,
const FT &  a43,
const FT &  a44 
)

Definition at line 100 of file sign_of_determinant.h.

References CGAL_NTS, det5x5_by_formula(), and sign().

106 {
107  return CGAL_NTS sign(det5x5_by_formula(a00, a01, a02, a03, a04,
108  a10, a11, a12, a13, a14,
109  a20, a21, a22, a23, a24,
110  a30, a31, a32, a33, a34,
111  a40, a41, a42, a43, a44));
112 }
sign
static SURF_BEGIN_NAMESPACE double sign(double x)
Definition: compute_curvature.C:31
det5x5_by_formula
CGAL_KERNEL_LARGE_INLINE FT det5x5_by_formula(const FT &a00, const FT &a01, const FT &a02, const FT &a03, const FT &a04, const FT &a10, const FT &a11, const FT &a12, const FT &a13, const FT &a14, const FT &a20, const FT &a21, const FT &a22, const FT &a23, const FT &a24, const FT &a30, const FT &a31, const FT &a32, const FT &a33, const FT &a34, const FT &a40, const FT &a41, const FT &a42, const FT &a43, const FT &a44)
Definition: determinant.h:114
CGAL_NTS
#define CGAL_NTS
Definition: CGAL/include/CGAL/basic.h:58

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CGAL_KERNEL_LARGE_INLINE Sign sign_of_determinant6x6 ( const FT &  a00,
const FT &  a01,
const FT &  a02,
const FT &  a03,
const FT &  a04,
const FT &  a05,
const FT &  a10,
const FT &  a11,
const FT &  a12,
const FT &  a13,
const FT &  a14,
const FT &  a15,
const FT &  a20,
const FT &  a21,
const FT &  a22,
const FT &  a23,
const FT &  a24,
const FT &  a25,
const FT &  a30,
const FT &  a31,
const FT &  a32,
const FT &  a33,
const FT &  a34,
const FT &  a35,
const FT &  a40,
const FT &  a41,
const FT &  a42,
const FT &  a43,
const FT &  a44,
const FT &  a45,
const FT &  a50,
const FT &  a51,
const FT &  a52,
const FT &  a53,
const FT &  a54,
const FT &  a55 
)

Definition at line 117 of file sign_of_determinant.h.

References CGAL_NTS, det6x6_by_formula(), and sign().

124 {
125  return CGAL_NTS sign(det6x6_by_formula(a00, a01, a02, a03, a04, a05,
126  a10, a11, a12, a13, a14, a15,
127  a20, a21, a22, a23, a24, a25,
128  a30, a31, a32, a33, a34, a35,
129  a40, a41, a42, a43, a44, a45,
130  a50, a51, a52, a53, a54, a55));
131 }
sign
static SURF_BEGIN_NAMESPACE double sign(double x)
Definition: compute_curvature.C:31
det6x6_by_formula
FT det6x6_by_formula(const FT &a00, const FT &a01, const FT &a02, const FT &a03, const FT &a04, const FT &a05, const FT &a10, const FT &a11, const FT &a12, const FT &a13, const FT &a14, const FT &a15, const FT &a20, const FT &a21, const FT &a22, const FT &a23, const FT &a24, const FT &a25, const FT &a30, const FT &a31, const FT &a32, const FT &a33, const FT &a34, const FT &a35, const FT &a40, const FT &a41, const FT &a42, const FT &a43, const FT &a44, const FT &a45, const FT &a50, const FT &a51, const FT &a52, const FT &a53, const FT &a54, const FT &a55)
Definition: determinant.h:156
CGAL_NTS
#define CGAL_NTS
Definition: CGAL/include/CGAL/basic.h:58

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