devtools/eigen
1
0
Fork 0
mirror of https://gitlab.com/libeigen/eigen.git synced 2026-04-10 11:34:33 +08:00
Code Issues Packages Projects Releases Wiki Activity

fix dot product, add norm/norm2/normalized

Browse Source 
add fuzzy compares for matrices/vectors
add random matrix/vector generation
This commit is contained in:
Benoit Jacob
2007-10-10 06:09:56 +00:00
parent 7f0a546a81
commit 06e1e0d83b
9 changed files with 221 additions and 48 deletions
Download Patch File Download Diff File Expand all files Collapse all files

66
src/Core/Numeric.h
View File

@@ -27,9 +27,9 @@
#ifndef EI_NUMERIC_H
#define EI_NUMERIC_H
template<typename T> struct EiTraits;
template<typename T> struct EiNumTraits;
template<> struct EiTraits<int>
template<> struct EiNumTraits<int>
{
typedef int Real;
typedef double FloatingPoint;
@@ -45,16 +45,16 @@ template<> struct EiTraits<int>
static double sqrt(const int& x) { return std::sqrt(static_cast<double>(x)); }
static int abs(const int& x) { return std::abs(x); }
static int abs2(const int& x) { return x*x; }
static int random()
static int rand()
{
// "rand()%21" would be bad. always use the high-order bits, not the low-order bits.
// note: here (gcc 4.1) static_cast<int> seems to round the nearest int.
// I don't know if that's part of the standard.
return -10 + static_cast<int>(rand() / ((RAND_MAX + 1.0)/20.0));
return -10 + static_cast<int>(std::rand() / ((RAND_MAX + 1.0)/20.0));
}
};
template<> struct EiTraits<float>
template<> struct EiNumTraits<float>
{
typedef float Real;
typedef float FloatingPoint;
@@ -70,13 +70,13 @@ template<> struct EiTraits<float>
static float sqrt(const float& x) { return std::sqrt(x); }
static float abs(const float& x) { return std::abs(x); }
static float abs2(const float& x) { return x*x; }
static float random()
static float rand()
{
return rand() / (RAND_MAX/20.0f) - 10.0f;
return std::rand() / (RAND_MAX/20.0f) - 10.0f;
}
};
template<> struct EiTraits<double>
template<> struct EiNumTraits<double>
{
typedef double Real;
typedef double FloatingPoint;
@@ -92,23 +92,23 @@ template<> struct EiTraits<double>
static double sqrt(const double& x) { return std::sqrt(x); }
static double abs(const double& x) { return std::abs(x); }
static double abs2(const double& x) { return x*x; }
static double random()
static double rand()
{
return rand() / (RAND_MAX/20.0) - 10.0;
return std::rand() / (RAND_MAX/20.0) - 10.0;
}
};
template<typename _Real> struct EiTraits<std::complex<_Real> >
template<typename _Real> struct EiNumTraits<std::complex<_Real> >
{
typedef _Real Real;
typedef std::complex<Real> Complex;
typedef std::complex<double> FloatingPoint;
typedef typename EiTraits<Real>::FloatingPoint RealFloatingPoint;
typedef typename EiNumTraits<Real>::FloatingPoint RealFloatingPoint;
static const bool IsComplex = true;
static const bool HasFloatingPoint = EiTraits<Real>::HasFloatingPoint;
static const bool HasFloatingPoint = EiNumTraits<Real>::HasFloatingPoint;
static Real epsilon() { return EiTraits<Real>::epsilon(); }
static Real epsilon() { return EiNumTraits<Real>::epsilon(); }
static Real real(const Complex& x) { return std::real(x); }
static Real imag(const Complex& x) { return std::imag(x); }
static Complex conj(const Complex& x) { return std::conj(x); }
@@ -118,49 +118,49 @@ template<typename _Real> struct EiTraits<std::complex<_Real> >
{ return std::abs(static_cast<FloatingPoint>(x)); }
static Real abs2(const Complex& x)
{ return std::real(x) * std::real(x) + std::imag(x) * std::imag(x); }
static Complex random()
static Complex rand()
{
return Complex(EiTraits<Real>::random(), EiTraits<Real>::random());
return Complex(EiNumTraits<Real>::rand(), EiNumTraits<Real>::rand());
}
};
template<typename T> typename EiTraits<T>::Real EiReal(const T& x)
{ return EiTraits<T>::real(x); }
template<typename T> typename EiNumTraits<T>::Real EiReal(const T& x)
{ return EiNumTraits<T>::real(x); }
template<typename T> typename EiTraits<T>::Real EiImag(const T& x)
{ return EiTraits<T>::imag(x); }
template<typename T> typename EiNumTraits<T>::Real EiImag(const T& x)
{ return EiNumTraits<T>::imag(x); }
template<typename T> T EiConj(const T& x)
{ return EiTraits<T>::conj(x); }
{ return EiNumTraits<T>::conj(x); }
template<typename T> typename EiTraits<T>::FloatingPoint EiSqrt(const T& x)
{ return EiTraits<T>::sqrt(x); }
template<typename T> typename EiNumTraits<T>::FloatingPoint EiSqrt(const T& x)
{ return EiNumTraits<T>::sqrt(x); }
template<typename T> typename EiTraits<T>::RealFloatingPoint EiAbs(const T& x)
{ return EiTraits<T>::abs(x); }
template<typename T> typename EiNumTraits<T>::RealFloatingPoint EiAbs(const T& x)
{ return EiNumTraits<T>::abs(x); }
template<typename T> typename EiTraits<T>::Real EiAbs2(const T& x)
{ return EiTraits<T>::abs2(x); }
template<typename T> typename EiNumTraits<T>::Real EiAbs2(const T& x)
{ return EiNumTraits<T>::abs2(x); }
template<typename T> T EiRandom()
{ return EiTraits<T>::random(); }
template<typename T> T EiRand()
{ return EiNumTraits<T>::rand(); }
template<typename T> bool EiNegligible(const T& a, const T& b)
{
return(EiAbs(a) <= EiAbs(b) * EiTraits<T>::epsilon());
return(EiAbs(a) <= EiAbs(b) * EiNumTraits<T>::epsilon());
}
template<typename T> bool EiApprox(const T& a, const T& b)
{
if(EiTraits<T>::IsFloat)
return(EiAbs(a - b) <= std::min(EiAbs(a), EiAbs(b)) * EiTraits<T>::epsilon());
if(EiNumTraits<T>::IsFloat)
return(EiAbs(a - b) <= std::min(EiAbs(a), EiAbs(b)) * EiNumTraits<T>::epsilon());
else
return(a == b);
}
template<typename T> bool EiLessThanOrApprox(const T& a, const T& b)
{
if(EiTraits<T>::IsFloat)
if(EiNumTraits<T>::IsFloat)
return(a < b || EiApprox(a, b));
else
return(a <= b);