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Differential D3744 Diff 11987 intern/elbeem/intern/ntl_vector3dim.h

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intern/elbeem/intern/ntl_vector3dim.h

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// this serves as the main include file // this serves as the main include file
// for all kinds of stuff that might be required // for all kinds of stuff that might be required
// under windos there seem to be strange // under windows there seem to be strange
// errors when including the STL header too // errors when including the STL header too
// late... // late...
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#endif // WIN32 #endif // WIN32
#endif // __APPLE_CC__ #endif // __APPLE_CC__
// windos, hardcoded limits for now... // windows, hardcoded limits for now...
// for e.g. MSVC compiler... // for e.g. MSVC compiler...
// some of these defines can be needed // some of these defines can be needed
// for linux systems as well (e.g. FLT_MAX) // for linux systems as well (e.g. FLT_MAX)
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inline ntlVector3Dim<Scalar> getOrthogonalntlVector3Dim() const; inline ntlVector3Dim<Scalar> getOrthogonalntlVector3Dim() const;
// Project into a plane // Project into a plane
inline const ntlVector3Dim<Scalar>& projectNormalTo(const ntlVector3Dim<Scalar> &v); inline const ntlVector3Dim<Scalar>& projectNormalTo(const ntlVector3Dim<Scalar> &v);
// minimize // minimize
inline const ntlVector3Dim<Scalar> &minimize(const ntlVector3Dim<Scalar> &); inline const ntlVector3Dim<Scalar> &minimize(const ntlVector3Dim<Scalar> &);
// maximize // maximize
inline const ntlVector3Dim<Scalar> &maximize(const ntlVector3Dim<Scalar> &); inline const ntlVector3Dim<Scalar> &maximize(const ntlVector3Dim<Scalar> &);
// access operator // access operator
inline Scalar& operator[](unsigned int i); inline Scalar& operator[](unsigned int i);
// access operator // access operator
inline const Scalar& operator[](unsigned int i) const; inline const Scalar& operator[](unsigned int i) const;
protected: protected:
private: private:
Scalar value[3]; //< Storage of vector values Scalar value[3]; //< Storage of vector values
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{ {
char buf[256]; char buf[256];
snprintf(buf,256,globVecFormatStr,i[0],i[1],i[2]); snprintf(buf,256,globVecFormatStr,i[0],i[1],i[2]);
os << string(buf); os << string(buf);
//os << '[' << i[0] << ", " << i[1] << ", " << i[2] << ']'; //os << '[' << i[0] << ", " << i[1] << ", " << i[2] << ']';
return os; return os;
} }
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\return A new vector with the product values \return A new vector with the product values
*/ */
/*template<class Scalar> /*template<class Scalar>
inline ntlVector3Dim<Scalar> inline ntlVector3Dim<Scalar>
ntlVector3Dim<Scalar>::operator^( const ntlVector3Dim<Scalar> &v ) const ntlVector3Dim<Scalar>::operator^( const ntlVector3Dim<Scalar> &v ) const
{ {
return ntlVector3Dim<Scalar>(value[1]*v.value[2] - value[2]*v.value[1], return ntlVector3Dim<Scalar>(value[1]*v.value[2] - value[2]*v.value[1],
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{ {
value[0] = v.value[0]; value[0] = v.value[0];
value[1] = v.value[1]; value[1] = v.value[1];
value[2] = v.value[2]; value[2] = v.value[2];
return *this; return *this;
} }
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{ {
value[0] = s; value[0] = s;
value[1] = s; value[1] = s;
value[2] = s; value[2] = s;
return *this; return *this;
} }
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{ {
value[0] += v.value[0]; value[0] += v.value[0];
value[1] += v.value[1]; value[1] += v.value[1];
value[2] += v.value[2]; value[2] += v.value[2];
return *this; return *this;
} }
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{ {
value[0] += s; value[0] += s;
value[1] += s; value[1] += s;
value[2] += s; value[2] += s;
return *this; return *this;
} }
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{ {
value[0] -= v.value[0]; value[0] -= v.value[0];
value[1] -= v.value[1]; value[1] -= v.value[1];
value[2] -= v.value[2]; value[2] -= v.value[2];
return *this; return *this;
} }
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{ {
value[0]-= s; value[0]-= s;
value[1]-= s; value[1]-= s;
value[2]-= s; value[2]-= s;
return *this; return *this;
} }
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{ {
value[0] *= v.value[0]; value[0] *= v.value[0];
value[1] *= v.value[1]; value[1] *= v.value[1];
value[2] *= v.value[2]; value[2] *= v.value[2];
return *this; return *this;
} }
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{ {
value[0] *= s; value[0] *= s;
value[1] *= s; value[1] *= s;
value[2] *= s; value[2] *= s;
return *this; return *this;
} }
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{ {
value[0] /= v.value[0]; value[0] /= v.value[0];
value[1] /= v.value[1]; value[1] /= v.value[1];
value[2] /= v.value[2]; value[2] /= v.value[2];
return *this; return *this;
} }
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template<class Scalar> template<class Scalar>
inline ntlVector3Dim<Scalar> cross(const ntlVector3Dim<Scalar> &t, const ntlVector3Dim<Scalar> &v) inline ntlVector3Dim<Scalar> cross(const ntlVector3Dim<Scalar> &t, const ntlVector3Dim<Scalar> &v)
{ {
ntlVector3Dim<Scalar> cp( ntlVector3Dim<Scalar> cp(
((t[1]*v[2]) - (t[2]*v[1])), ((t[1]*v[2]) - (t[2]*v[1])),
((t[2]*v[0]) - (t[0]*v[2])), ((t[2]*v[0]) - (t[0]*v[2])),
((t[0]*v[1]) - (t[1]*v[0])) ); ((t[0]*v[1]) - (t[1]*v[0])) );
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Scalar sprod = dot(*this,v); Scalar sprod = dot(*this,v);
value[0]= value[0] - v.value[0] * sprod; value[0]= value[0] - v.value[0] * sprod;
value[1]= value[1] - v.value[1] * sprod; value[1]= value[1] - v.value[1] * sprod;
value[2]= value[2] - v.value[2] * sprod; value[2]= value[2] - v.value[2] * sprod;
return *this; return *this;
} }
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// ---- // ----
// a 3D vector with double precision // a 3D vector with double precision
typedef ntlVector3Dim<double> ntlVec3d; typedef ntlVector3Dim<double> ntlVec3d;
// a 3D vector with single precision // a 3D vector with single precision
typedef ntlVector3Dim<float> ntlVec3f; typedef ntlVector3Dim<float> ntlVec3f;
// a 3D integer vector // a 3D integer vector
typedef ntlVector3Dim<int> ntlVec3i; typedef ntlVector3Dim<int> ntlVec3i;
// Color uses single precision fp values // Color uses single precision fp values
typedef ntlVec3f ntlColor; typedef ntlVec3f ntlColor;
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#ifdef PRECISION_GFX_DOUBLE #ifdef PRECISION_GFX_DOUBLE
#define GFX_PRECISION 2 #define GFX_PRECISION 2
#else #else
// standard precision for graphics // standard precision for graphics
#ifndef GFX_PRECISION #ifndef GFX_PRECISION
#define GFX_PRECISION 1 #define GFX_PRECISION 1
#endif #endif
#endif #endif
#endif #endif
#if GFX_PRECISION==1 #if GFX_PRECISION==1
typedef float gfxReal; typedef float gfxReal;
#define GFX_REAL_MAX __FLT_MAX__ #define GFX_REAL_MAX __FLT_MAX__
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typedef double gfxDouble; typedef double gfxDouble;
// a 3D vector for graphics output, typically float? // a 3D vector for graphics output, typically float?
typedef ntlVector3Dim<gfxReal> ntlVec3Gfx; typedef ntlVector3Dim<gfxReal> ntlVec3Gfx;
template<class T> inline ntlVec3Gfx vec2G(T v) { return ntlVec3Gfx(v[0],v[1],v[2]); } template<class T> inline ntlVec3Gfx vec2G(T v) { return ntlVec3Gfx(v[0],v[1],v[2]); }
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/************************************************************************* /*************************************************************************
Same as getNorm but doesnt sqrt Same as getNorm but doesnt sqrt
*/ */
template<class Scalar> template<class Scalar>
inline Scalar normNoSqrt( const VECTOR_TYPE &v) inline Scalar normNoSqrt( const VECTOR_TYPE &v)
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\return The value of the norm \return The value of the norm
*/ */
template<class Scalar> template<class Scalar>
inline Scalar normalize( VECTOR_TYPE &v) inline Scalar normalize( VECTOR_TYPE &v)
{ {
Scalar norm; Scalar norm;
Scalar l = v[0]*v[0] + v[1]*v[1] + v[2]*v[2]; Scalar l = v[0]*v[0] + v[1]*v[1] + v[2]*v[2];
if (fabs(l-1.) < VECTOR_EPSILON*VECTOR_EPSILON) { if (fabs(l-1.) < VECTOR_EPSILON*VECTOR_EPSILON) {
norm = 1.; norm = 1.;
} else if (l > VECTOR_EPSILON*VECTOR_EPSILON) { } else if (l > VECTOR_EPSILON*VECTOR_EPSILON) {
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Scalar fac = 1./norm; Scalar fac = 1./norm;
v[0] *= fac; v[0] *= fac;
v[1] *= fac; v[1] *= fac;
v[2] *= fac; v[2] *= fac;
} else { } else {
v[0]= v[1]= v[2]= 0; v[0]= v[1]= v[2]= 0;
norm = 0.; norm = 0.;
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\return The new reflected vector \return The new reflected vector
*/ */
template<class Scalar> template<class Scalar>
inline VECTOR_TYPE reflectVector(const VECTOR_TYPE &t, const VECTOR_TYPE &n) inline VECTOR_TYPE reflectVector(const VECTOR_TYPE &t, const VECTOR_TYPE &n)
{ {
VECTOR_TYPE nn= (dot(t, n) > 0.0) ? (n*-1.0) : n; VECTOR_TYPE nn= (dot(t, n) > 0.0) ? (n*-1.0) : n;
return ( t - nn * (2.0 * dot(nn, t)) ); return ( t - nn * (2.0 * dot(nn, t)) );
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* Taken from Glassner's book, section 5.2 (Heckberts method) * Taken from Glassner's book, section 5.2 (Heckberts method)
*/ */
template<class Scalar> template<class Scalar>
inline VECTOR_TYPE refractVector(const VECTOR_TYPE &t, const VECTOR_TYPE &normal, Scalar nt, Scalar nair, int &refRefl) inline VECTOR_TYPE refractVector(const VECTOR_TYPE &t, const VECTOR_TYPE &normal, Scalar nt, Scalar nair, int &refRefl)
{ {
Scalar eta = nair / nt; Scalar eta = nair / nt;
Scalar n = -dot(t, normal); Scalar n = -dot(t, normal);
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template<class Scalar> template<class Scalar>
inline bool equal(const VECTOR_TYPE &v, const VECTOR_TYPE &c) inline bool equal(const VECTOR_TYPE &v, const VECTOR_TYPE &c)
{ {
return (ABS(v[0]-c[0]) + return (ABS(v[0]-c[0]) +
ABS(v[1]-c[1]) + ABS(v[1]-c[1]) +
ABS(v[2]-c[2]) < VECTOR_EPSILON); ABS(v[2]-c[2]) < VECTOR_EPSILON);
} }
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