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| //! \file Kazu.cpp
//! @brief fast test for kazu
//---------------------------------------------------------------------------
//Boost.asserts
#include <boost/static_assert.hpp>
//Boost.operators
#include <boost/operators.hpp>
//SL.Math
#include <cmath>
//SL.assert
#include <cassert>
//STL.cout
#include <iostream>
//////////////////////////////////////////////////////////////////////////
//forward declaration
namespace kazu
{
template<typename scalarT>
struct blast
{
//vec fwd decl
class vec2;
class vec3;
class vec4;
class vec4D;
//mat fwd decl
class mat2x2;
class mat2x3;
class mat2x4;
class mat3x2;
class mat3x3;
class mat3x4;
class mat4x2;
class mat4x3;
class mat4x4;
//other fwd decl: complex, hypercomplex
class complex;
class quaternion;
class octonion;
//typedefs
typedef scalarT scalar;
typedef mat2x2 mat2;
typedef mat3x3 mat3;
typedef mat4x4 mat4;
//utility classes
template<class vecT, unsigned int sizeT>
class vecproto;
template<class matT, class transT, unsigned int sizeA, unsigned int sizeB>
class matproto;
};
}//namespace kazu
//////////////////////////////////////////////////////////////////////////
//vecproto - template definition
namespace kazu
{
template<class selfT, typename typeT, unsigned int dimT, class B = ::boost::detail::empty_base<selfT> >
struct unary : B
{
friend selfT sin(const selfT& a) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)sin( a._a[i] ); } return rv; }
friend selfT cos(const selfT& a) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)cps( a._a[i] ); } return rv; }
friend selfT tan(const selfT& a) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)tan( a._a[i] ); } return rv; }
friend selfT asin(const selfT& a) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)asin( a._a[i] ); } return rv; }
friend selfT acos(const selfT& a) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)acos( a._a[i] ); } return rv; }
friend selfT atan(const selfT& a) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)atan( a._a[i] ); } return rv; }
friend selfT exp(const selfT& a) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)exp( a._a[i] ); } return rv; }
friend selfT log(const selfT& a) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)log( a._a[i] ); } return rv; }
friend selfT exp2(const selfT& a) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)exp2( a._a[i] ); } return rv; }
friend selfT log2(const selfT& a) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)log2( a._a[i] ); } return rv; }
friend selfT sqrt(const selfT& a) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)sqrt( a._a[i] ); } return rv; }
friend selfT abs(const selfT& a) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)abs( a._a[i] ); } return rv; }
friend selfT sign(const selfT& a) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)sign( a._a[i] ); } return rv; }
friend selfT floor(const selfT& a) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)floor( a._a[i] ); } return rv; }
friend selfT ceil(const selfT& a) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)ceil( a._a[i] ); } return rv; }
};
template<class selfT, typename typeT, unsigned int dimT, class B = ::boost::detail::empty_base<selfT> >
struct binary : B
{
friend selfT pow(const selfT& a, const selfT& b) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)pow( a._a[i], b._a[i] ); } return rv; }
friend selfT pow(const selfT& a, const typeT b) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)pow( a._a[i], b ); } return rv; }
friend selfT min(const selfT& a, const selfT& b) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)min( a._a[i], b._a[i] ); } return rv; }
friend selfT max(const selfT& a, const selfT& b) { selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)max( a._a[i], b._a[i] ); } return rv; }
};
template<class selfT, typename typeT, unsigned int dimT, class B = ::boost::detail::empty_base<selfT> >
struct trinary : B
{
friend selfT clamp(const selfT& a, const selfT& b, const selfT& c)
{ selfT rv(a); for(unsigned int i = 0; i < dimT; i++){ rv._a[i] = (typeT)clamp( a._a[i], b._a[i], c._a[i] ); } return rv; }
};
}
//////////////////////////////////////////////////////////////////////////
//definition of vec classes
template<typename typeT>
struct kazu::blast<typeT>::vec2 : public kazu::blast<typeT>::vecproto<vec2, 2>
{
union
{
typeT _a[2];
struct { typeT x, y; };
struct { typeT i, a; };
struct { typeT s, t; };
struct { typeT _0, _1; };
};
vec2() {}
vec2(const vec2& b): x(b.x), y(b.y) {}
vec2(const vecproto<vec2, 2>& b){}
vec2(typeT _x, typeT _y): x(_x), y(_y) {}
virtual ~vec2(){}
//todo: declare swizzle functions here
vec2 xx();
vec3 xxx();
vec4 xxxx();
const vec2 xx() const;
const vec3 xxx() const;
const vec4 xxxx() const;
};
template<typename typeT>
struct kazu::blast<typeT>::vec3 : public kazu::blast<typeT>::vecproto<vec3, 3>
{
union
{
typeT _a[3];
struct { typeT x, y, z; };
struct { typeT r, g, b; };
struct { typeT s, t, p; };
struct { typeT _0, _1, _2; };
};
vec3() {}
vec3(const vec3& b): x(b.x), y(b.y), z(b.z) {}
vec3(const vecproto<vec3, 3>& b){}
vec3(typeT _x, typeT _y, typeT _z): x(_x), y(_y), z(_z) {}
vec3(const vec2& b): x(b.x), y(b.y), z((typeT)0) {}
virtual ~vec3(){}
//todo: declare swizzle functions here
vec2 xx();
vec3 xxx();
vec4 xxxx();
const vec2 xx() const;
const vec3 xxx() const;
const vec4 xxxx() const;
};
template<typename typeT>
struct kazu::blast<typeT>::vec4 : public kazu::blast<typeT>::vecproto<vec4, 4>
{
union
{
typeT _a[4];
struct { typeT x, y, z, w; };
struct { typeT r, g, b, a; };
struct { typeT s, t, p, q; };
struct { typeT _0, _1, _2, _3; };
};
vec4() {}
vec4(const vec4& b): x(b.x), y(b.y), z(b.z), w(b.w) {}
vec4(const vecproto<vec4, 4>& b){}
vec4(typeT _x, typeT _y, typeT _z, typeT _w): x(_x), y(_y), z(_z), w(_w) {}
vec4(const vec2& b): x(b.x), y(b.y), z((typeT)0), w((typeT)1) {}
vec4(const vec3& b): x(b.x), y(b.y), z(b.z), w((typeT)1) {}
virtual ~vec4(){}
//todo: declare swizzle functions here
vec2 xx();
vec3 xxx();
vec4 xxxx();
const vec2 xx() const;
const vec3 xxx() const;
const vec4 xxxx() const;
};
template<typename typeT>
struct kazu::blast<typeT>::vec4D : kazu::blast<typeT>::vec4
{
};
//////////////////////////////////////////////////////////////////////////
template<typename typeT> template<class selfT, unsigned int dimT>
struct kazu::blast<typeT>::vecproto<selfT, dimT> :
public boost::arithmetic< selfT,
boost::multiplicative< selfT, typeT,
kazu::unary<selfT, typeT, dimT,
kazu::binary<selfT, typeT, dimT,
kazu::trinary<selfT, typeT, dimT
> > > > >
{
// selfT(typeT a[dimT]) { for (unsigned i = 0; i < dimT; i++){ this->_a[i] = a[i]; } }
//sum
inline typeT sum() { typeT rv = (typeT)0; for(unsigned int i = 0; i < dimT; i++){rv += this->_a[i];} return rv; }
//dot
virtual typeT dot(const selfT& b) { selfT rv(*this); rv *= b; return rv.sum(); }
inline friend typeT dot(const selfT& a, const selfT& b) { return a.dot(b); }
//cross
virtual selfT cross(const selfT& b); //todo: implement in specialization
inline friend selfT cross(const selfT& a, const selfT& b) { return a.cross(b); }
//length
inline typeT lensq() { selfT a(*this); a *= a; return a.sum(); }
inline friend typeT lensq(const selfT& a) { return a.lensq(); }
inline typeT length() { return std::sqrt<typeT>( lensq() ); }
inline friend typeT length(const selfT& a) { return a.length(); }
inline typeT distance(const selfT& rhv) { selfT a = rhv - (*this); return a.length(); }
inline friend typeT distance(const selfT& a, const selfT& b) { return a.distance(b); }
//operators
virtual selfT& operator=(const selfT& b) { for(unsigned int i = 0; i < dimT; i++){this->_a[i] = b._a[i]; } }
virtual selfT& operator+=(const selfT& b) { for(unsigned int i = 0; i < dimT; i++){this->_a[i] += b._a[i]; } }
virtual selfT& operator-=(const selfT& b) { for(unsigned int i = 0; i < dimT; i++){this->_a[i] -= b._a[i]; } }
virtual selfT& operator*=(const selfT& b) { for(unsigned int i = 0; i < dimT; i++){this->_a[i] *= b._a[i]; } }
virtual selfT& operator/=(const selfT& b) { for(unsigned int i = 0; i < dimT; i++){this->_a[i] /= b._a[i]; } }
virtual selfT& operator*=(const typeT b) { for(unsigned int i = 0; i < dimT; i++){this->_a[i] *= b; } }
virtual selfT& operator/=(const typeT b) { for(unsigned int i = 0; i < dimT; i++){this->_a[i] /= b; } }
//this ought to crash the compiler, or at least induce errors
// selfT& operator+=(const selfT& b) { (*this) = (*this) + b; }
// selfT& operator-=(const selfT& b) { (*this) = (*this) - b; }
// selfT& operator*=(const selfT& b) { (*this) = (*this) * b; }
// selfT& operator/=(const selfT& b) { (*this) = (*this) / b; }
inline typeT& operator[](unsigned int idx) { assert(idx < dimT); return this->_a[idx]; }
inline operator typeT*() { return &this->_a[0]; }
//swizzle
template<unsigned int X> inline typeT& get() { BOOST_STATIC_ASSERT(X < dimT); return this->_a[X]; }
template<unsigned int X> inline const typeT& get() const { BOOST_STATIC_ASSERT(X < dimT); return this->_a[X]; }
template<unsigned int X, unsigned int Y>
inline vec2 swizzle2()
{ return vec2(this->get<X>(), this->get<Y>()); }
template<unsigned int X, unsigned int Y>
inline const vec2 swizzle2() const
{ return vec2(this->get<X>(), this->get<Y>()); }
template<unsigned int X, unsigned int Y, unsigned int Z>
inline vec3 swizzle3()
{ return vec3(this->get<X>(), this->get<Y>(), this->get<Z>()); }
template<unsigned int X, unsigned int Y, unsigned int Z>
inline const vec3 swizzle3() const
{ return vec3(this->get<X>(), this->get<Y>(), this->get<Z>()); }
template<unsigned int X, unsigned int Y, unsigned int Z, unsigned int W>
inline vec4 swizzle4()
{ return vec4(this->get<X>(), this->get<Y>(), this->get<Z>(), this->get<W>()); }
template<unsigned int X, unsigned int Y, unsigned int Z, unsigned int W>
inline const vec4 swizzle4() const
{ return vec4(this->get<X>(), this->get<Y>(), this->get<Z>(), this->get<W>()); }
std::ostream& operator<<(std::ostream& os)
{
os << "vec" << dimT << " [";
for(unsigned int i = 0; i < dimT; i++)
{
if(i)
os << ", ";
os << (*this)[i];
}
os << "]";
return os;
}
};
//////////////////////////////////////////////////////////////////////////
//specialization of cross()
template<typename typeT> template<class selfT>
selfT kazu::blast<typeT>::vecproto<selfT, 2>::cross(const selfT& rhv)
{
selfT rv;
//not sure, should return 0, 0
rv.x = this->x * rhv.y;
rv.y = this->y * rhv.x;
return rv;
}
template<typename typeT> template<class selfT>
selfT kazu::blast<typeT>::vecproto<selfT, 3>::cross(const selfT& rhv)
{
selfT rv;
rv.x = this->y * rhv.z - this->z * rhv.y;
rv.y = this->y * rhv.z - this->z * rhv.y;
rv.z = this->y * rhv.z - this->z * rhv.y;
return rv;
}
template<typename typeT> template<class selfT>
selfT kazu::blast<typeT>::vecproto<selfT, 4>::cross(const selfT& rhv)
{
selfT rv;
rv.x = this->y * rhv.z - this->z * rhv.y;
rv.y = this->y * rhv.z - this->z * rhv.y;
rv.z = this->y * rhv.z - this->z * rhv.y;
rv.w = this->w * rhv.w; //not sure about this one
//4D cross
// rv.x = this->y * rhv.z - this->z * rhv.y + this->z * rhv.w - this->w * rhv.z + this->y * rhv.w - this->w * rhv.y;
// rv.y = this->z * rhv.x - this->x * rhv.z + this->w * rhv.x - this->x * rhv.w + this->z * rhv.w - this->w * rhv.z;
// rv.z = this->x * rhv.y - this->y * rhv.x + this->w * rhv.y - this->y * rhv.w + this->w * rhv.x - this->x * rhv.w;
// rv.w = this->x * rhv.y - this->y * rhv.x + this->y * rhv.z - this->z * rhv.y + this->x * rhv.z - this->z * rhv.x;
return rv;
}
//////////////////////////////////////////////////////////////////////////
//definition of swizzle functions
/*
template<typename typeT> template<class selfT, unsigned int dimT> template<unsigned int X, unsigned int Y>
inline kazu::blast<typeT>::vec2
kazu::blast<typeT>::vecproto<selfT, dimT>::swizzle2<X, Y>()
{ return kazu::blast<typeT>::vec2(this->get<X>(), this->get<Y>()); }
template<typename typeT> template<class selfT, unsigned int dimT> template<unsigned int X, unsigned int Y>
inline const kazu::blast<typeT>::vec2
kazu::blast<typeT>::vecproto<selfT, dimT>::swizzle2<X, Y>() const
{ return kazu::blast<typeT>::vec2(this->get<X>(), this->get<Y>()); }
template<typename typeT> template<class selfT, unsigned int dimT> template<unsigned int X, unsigned int Y, unsigned int Z>
inline kazu::blast<typeT>::vec3
kazu::blast<typeT>::vecproto<selfT, dimT>::swizzle3<X, Y, Z>()
{ return kazu::blast<typeT>::vec3(this->get<X>(), this->get<Y>(), this->get<Z>()); }
template<typename typeT> template<class selfT, unsigned int dimT> template<unsigned int X, unsigned int Y, unsigned int Z>
inline const kazu::blast<typeT>::vec3
kazu::blast<typeT>::vecproto<selfT, dimT>::swizzle3<X, Y, Z>() const
{ return kazu::blast<typeT>::vec3(this->get<X>(), this->get<Y>(), this->get<Z>()); }
template<typename typeT> template<class selfT, unsigned int dimT> template<unsigned int X, unsigned int Y, unsigned int Z, unsigned int W>
inline kazu::blast<typeT>::vec4
kazu::blast<typeT>::vecproto<selfT, dimT>::swizzle4<X, Y, Z, W>()
{ return kazu::blast<typeT>::vec4(this->get<X>(), this->get<Y>(), this->get<Z>(), this->get<W>()); }
template<typename typeT> template<class selfT, unsigned int dimT, unsigned int X> template<unsigned int Y, unsigned int Z, unsigned int W>
inline const kazu::blast<typeT>::vec4
kazu::blast<typeT>::vecproto<selfT, dimT>::swizzle4<X, Y, Z, W>() const
{ return kazu::blast<typeT>::vec4(this->get<X>(), this->get<Y>(), this->get<Z>(), this->get<W>()); }
*/
//////////////////////////////////////////////////////////////////////////
//definition of swizzle functions
/*
template<typename typeT>
kazu::blast<typeT>::vec2 kazu::blast<typeT>::vec2::xx()
{ return this->swizzle2<0, 0>(); }
template<typename typeT>
kazu::blast<typeT>::vec3 kazu::blast<typeT>::vec2::xxx()
{ return this->swizzle3<0, 0, 0>(); }
template<typename typeT>
kazu::blast<typeT>::vec4 kazu::blast<typeT>::vec2::xxxx()
{ return this->swizzle4<0, 0, 0, 0>(); }
template<typename typeT>
const kazu::blast<typeT>::vec2 kazu::blast<typeT>::vec2::xx() const
{ return this->swizzle2<0, 0>(); }
template<typename typeT>
const kazu::blast<typeT>::vec3 kazu::blast<typeT>::vec2::xxx() const
{ return this->swizzle3<0, 0, 0>(); }
template<typename typeT>
const kazu::blast<typeT>::vec4 kazu::blast<typeT>::vec2::xxxx()const
{ return this->swizzle4<0, 0, 0, 0>(); }
template<typename typeT>
kazu::blast<typeT>::vec2 kazu::blast<typeT>::vec3::xx()
{ return this->swizzle2<0, 0>(); }
template<typename typeT>
kazu::blast<typeT>::vec3 kazu::blast<typeT>::vec3::xxx()
{ return this->swizzle3<0, 0, 0>(); }
template<typename typeT>
kazu::blast<typeT>::vec4 kazu::blast<typeT>::vec3::xxxx()
{ return this->swizzle4<0, 0, 0, 0>(); }
template<typename typeT>
const kazu::blast<typeT>::vec2 kazu::blast<typeT>::vec3::xx() const
{ return this->swizzle2<0, 0>(); }
template<typename typeT>
const kazu::blast<typeT>::vec3 kazu::blast<typeT>::vec3::xxx() const
{ return this->swizzle3<0, 0, 0>(); }
template<typename typeT>
const kazu::blast<typeT>::vec4 kazu::blast<typeT>::vec3::xxxx()const
{ return this->swizzle4<0, 0, 0, 0>(); }
template<typename typeT>
kazu::blast<typeT>::vec2 kazu::blast<typeT>::vec4::xx()
{ return this->swizzle2<0, 0>(); }
template<typename typeT>
kazu::blast<typeT>::vec3 kazu::blast<typeT>::vec4::xxx()
{ return this->swizzle3<0, 0, 0>(); }
template<typename typeT>
kazu::blast<typeT>::vec4 kazu::blast<typeT>::vec4::xxxx()
{ return this->swizzle4<0, 0, 0, 0>(); }
template<typename typeT>
const kazu::blast<typeT>::vec2 kazu::blast<typeT>::vec4::xx() const
{ return this->swizzle2<0, 0>(); }
template<typename typeT>
const kazu::blast<typeT>::vec3 kazu::blast<typeT>::vec4::xxx() const
{ return this->swizzle3<0, 0, 0>(); }
template<typename typeT>
const kazu::blast<typeT>::vec4 kazu::blast<typeT>::vec4::xxxx()const
{ return this->swizzle4<0, 0, 0, 0>(); }
*/
//////////////////////////////////////////////////////////////////////////
int main(int argc, char** argv)
{
kazu::blast<float>::vec4 a4(1.0f, 2.0f, 3.0f, 1.0f);
std::cout << a4 << std::endl;
return 0;
}
////////////////////////////////////////////////////////////////////////// |