Vector2.cpp
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#include "Vector2.h"
#include "Math.h"
#include <iostream>
//#define _EULE_NO_INTRINSICS_
#ifndef _EULE_NO_INTRINSICS_
#include <immintrin.h>
#endif
using namespace Eule;
/*
NOTE:
Here you will find bad, unoptimized methods for T=int.
This is because the compiler needs a method for each type in each instantiation of the template!
I can't generalize the methods when heavily optimizing for doubles.
These functions will get called VERY rarely, if ever at all, for T=int, so it's ok.
The T=int instantiation only exists to store a value-pair of two ints. Not so-much as a vector in terms of vector calculus.
*/
// Good, optimized chad version for doubles
double Vector2<double>::DotProduct(const Vector2<double>& other) const
{
#ifndef _EULE_NO_INTRINSICS_
// Move vector components into registers
__m256 __vector_self = _mm256_set_ps(0,0,0,0,0,0, (float)y, (float)x);
__m256 __vector_other = _mm256_set_ps(0,0,0,0,0,0, (float)other.y, (float)other.x);
// Define bitmask, and execute computation
const int mask = 0x31; // -> 0011 1000 -> use positions 0011 (last 2) of the vectors supplied, and place them in 1000 (first only) element of __dot
__m256 __dot = _mm256_dp_ps(__vector_self, __vector_other, mask);
// Retrieve result, and return it
float result[8];
_mm256_storeu_ps(result, __dot);
return result[0];
#else
return (x * other.x) +
(y * other.y);
#endif
}
// Slow, lame version for intcels
double Vector2<int>::DotProduct(const Vector2<int>& other) const
{
int iDot = (x * other.x) +
(y * other.y);
return (double)iDot;
}
// Good, optimized chad version for doubles
double Vector2<double>::CrossProduct(const Vector2<double>& other) const
{
return (x * other.y) -
(y * other.x);
}
// Slow, lame version for intcels
double Vector2<int>::CrossProduct(const Vector2<int>& other) const
{
int iCross = (x * other.y) -
(y * other.x);
return (double)iCross;
}
// Good, optimized chad version for doubles
double Vector2<double>::SqrMagnitude() const
{
// x.DotProduct(x) == x.SqrMagnitude()
return DotProduct(*this);
}
// Slow, lame version for intcels
double Vector2<int>::SqrMagnitude() const
{
int iSqrMag = x*x + y*y;
return (double)iSqrMag;
}
template<typename T>
double Vector2<T>::Magnitude() const
{
return sqrt(SqrMagnitude());
}
Vector2<double> Vector2<double>::VectorScale(const Vector2<double>& scalar) const
{
#ifndef _EULE_NO_INTRINSICS_
// Load vectors into registers
__m256d __vector_self = _mm256_set_pd(0, 0, y, x);
__m256d __vector_scalar = _mm256_set_pd(0, 0, scalar.y, scalar.x);
// Multiply them
__m256d __product = _mm256_mul_pd(__vector_self, __vector_scalar);
// Retrieve result
double result[4];
_mm256_storeu_pd(result, __product);
// Return value
return Vector2<double>(
result[0],
result[1]
);
#else
return Vector2<double>(
x * scalar.x,
y * scalar.y
);
#endif
}
Vector2<int> Vector2<int>::VectorScale(const Vector2<int>& scalar) const
{
return Vector2<int>(
x * scalar.x,
y * scalar.y
);
}
template<typename T>
Vector2<double> Vector2<T>::Normalize() const
{
Vector2<double> norm(x, y);
norm.NormalizeSelf();
return norm;
}
// Method to normalize a Vector2d
void Vector2<double>::NormalizeSelf()
{
double length = Magnitude();
// Prevent division by 0
if (length == 0)
{
x = 0;
y = 0;
}
else
{
#ifndef _EULE_NO_INTRINSICS_
// Load vector and length into registers
__m256d __vec = _mm256_set_pd(0, 0, y, x);
__m256d __len = _mm256_set1_pd(length);
// Divide
__m256d __prod = _mm256_div_pd(__vec, __len);
// Extract and set values
double prod[4];
_mm256_storeu_pd(prod, __prod);
x = prod[0];
y = prod[1];
#else
x /= length;
y /= length;
#endif
}
return;
}
// You can't normalize an int vector, ffs!
// But we need an implementation for T=int
void Vector2<int>::NormalizeSelf()
{
std::cerr << "Stop normalizing int-vectors!!" << std::endl;
x = 0;
y = 0;
return;
}
// Good, optimized chad version for doubles
void Vector2<double>::LerpSelf(const Vector2<double>& other, double t)
{
const double it = 1.0 - t; // Inverse t
#ifndef _EULE_NO_INTRINSICS_
// Move vector components and factors into registers
__m256d __vector_self = _mm256_set_pd(0, 0, y, x);
__m256d __vector_other = _mm256_set_pd(0, 0, other.y, other.x);
__m256d __t = _mm256_set1_pd(t);
__m256d __it = _mm256_set1_pd(it); // Inverse t
// Procedure:
// (__vector_self * __it) + (__vector_other * __t)
__m256d __sum = _mm256_set1_pd(0); // this will hold the sum of the two multiplications
__sum = _mm256_fmadd_pd(__vector_self, __it, __sum);
__sum = _mm256_fmadd_pd(__vector_other, __t, __sum);
// Retrieve result, and apply it
double sum[4];
_mm256_storeu_pd(sum, __sum);
x = sum[0];
y = sum[1];
#else
x = it * x + t * other.x;
y = it * y + t * other.y;
#endif
return;
}
// Slow, lame version for intcels
void Vector2<int>::LerpSelf(const Vector2<int>& other, double t)
{
const double it = 1.0 - t; // Inverse t
x = (int)(it * (double)x + t * (double)other.x);
y = (int)(it * (double)y + t * (double)other.y);
return;
}
Vector2<double> Vector2<double>::Lerp(const Vector2<double>& other, double t) const
{
Vector2d copy(*this);
copy.LerpSelf(other, t);
return copy;
}
Vector2<double> Vector2<int>::Lerp(const Vector2<int>& other, double t) const
{
Vector2d copy(this->ToDouble());
copy.LerpSelf(other.ToDouble(), t);
return copy;
}
template<typename T>
T& Vector2<T>::operator[](std::size_t idx)
{
switch (idx)
{
case 0:
return x;
case 1:
return y;
default:
throw std::out_of_range("Array descriptor on Vector2<T> out of range!");
}
}
template<typename T>
const T& Vector2<T>::operator[](std::size_t idx) const
{
switch (idx)
{
case 0:
return x;
case 1:
return y;
default:
throw std::out_of_range("Array descriptor on Vector2<T> out of range!");
}
}
template<typename T>
bool Vector2<T>::Similar(const Vector2<T>& other, double epsilon) const
{
return
(::Math::Similar(x, other.x, epsilon)) &&
(::Math::Similar(y, other.y, epsilon))
;
}
template<typename T>
Vector2<int> Vector2<T>::ToInt() const
{
return Vector2<int>((int)x, (int)y);
}
template<typename T>
Vector2<double> Vector2<T>::ToDouble() const
{
return Vector2<double>((double)x, (double)y);
}
Vector2<double> Vector2<double>::operator+(const Vector2<double>& other) const
{
#ifndef _EULE_NO_INTRINSICS_
// Move vector components and factors into registers
__m256d __vector_self = _mm256_set_pd(0, 0, y, x);
__m256d __vector_other = _mm256_set_pd(0, 0, other.y, other.x);
// Add the components
__m256d __sum = _mm256_add_pd(__vector_self, __vector_other);
// Retrieve and return these values
double sum[4];
_mm256_storeu_pd(sum, __sum);
return Vector2<double>(
sum[0],
sum[1]
);
#else
return Vector2<double>(
x + other.x,
y + other.y
);
#endif
}
template<typename T>
Vector2<T> Vector2<T>::operator+(const Vector2<T>& other) const
{
return Vector2<T>(
x + other.x,
y + other.y
);
}
void Vector2<double>::operator+=(const Vector2<double>& other)
{
#ifndef _EULE_NO_INTRINSICS_
// Move vector components and factors into registers
__m256d __vector_self = _mm256_set_pd(0, 0, y, x);
__m256d __vector_other = _mm256_set_pd(0, 0, other.y, other.x);
// Add the components
__m256d __sum = _mm256_add_pd(__vector_self, __vector_other);
// Retrieve and apply these values
double sum[4];
_mm256_storeu_pd(sum, __sum);
x = sum[0];
y = sum[1];
#else
x += other.x;
y += other.y;
#endif
return;
}
template<typename T>
void Vector2<T>::operator+=(const Vector2<T>& other)
{
x += other.x;
y += other.y;
return;
}
Vector2<double> Vector2<double>::operator-(const Vector2<double>& other) const
{
#ifndef _EULE_NO_INTRINSICS_
// Move vector components and factors into registers
__m256d __vector_self = _mm256_set_pd(0, 0, y, x);
__m256d __vector_other = _mm256_set_pd(0, 0, other.y, other.x);
// Subtract the components
__m256d __diff = _mm256_sub_pd(__vector_self, __vector_other);
// Retrieve and return these values
double diff[4];
_mm256_storeu_pd(diff, __diff);
return Vector2<double>(
diff[0],
diff[1]
);
#else
return Vector2<double>(
x - other.x,
y - other.y
);
#endif
}
template<typename T>
Vector2<T> Vector2<T>::operator-(const Vector2<T>& other) const
{
return Vector2<T>(
x - other.x,
y - other.y
);
}
void Vector2<double>::operator-=(const Vector2<double>& other)
{
#ifndef _EULE_NO_INTRINSICS_
// Move vector components and factors into registers
__m256d __vector_self = _mm256_set_pd(0, 0, y, x);
__m256d __vector_other = _mm256_set_pd(0, 0, other.y, other.x);
// Subtract the components
__m256d __diff = _mm256_sub_pd(__vector_self, __vector_other);
// Retrieve and apply these values
double diff[4];
_mm256_storeu_pd(diff, __diff);
x = diff[0];
y = diff[1];
#else
x -= other.x;
y -= other.y;
#endif
return;
}
template<typename T>
void Vector2<T>::operator-=(const Vector2<T>& other)
{
x -= other.x;
y -= other.y;
return;
}
Vector2<double> Vector2<double>::operator*(const double scale) const
{
#ifndef _EULE_NO_INTRINSICS_
// Move vector components and factors into registers
__m256d __vector_self = _mm256_set_pd(0, 0, y, x);
__m256d __scalar = _mm256_set1_pd(scale);
// Multiply the components
__m256d __prod = _mm256_mul_pd(__vector_self, __scalar);
// Retrieve and return these values
double prod[4];
_mm256_storeu_pd(prod, __prod);
return Vector2<double>(
prod[0],
prod[1]
);
#else
return Vector2<double>(
x * scale,
y * scale
);
#endif
}
template<typename T>
Vector2<T> Vector2<T>::operator*(const T scale) const
{
return Vector2<T>(
x * scale,
y * scale
);
}
void Vector2<double>::operator*=(const double scale)
{
#ifndef _EULE_NO_INTRINSICS_
// Move vector components and factors into registers
__m256d __vector_self = _mm256_set_pd(0, 0, y, x);
__m256d __scalar = _mm256_set1_pd(scale);
// Multiply the components
__m256d __prod = _mm256_mul_pd(__vector_self, __scalar);
// Retrieve and apply these values
double prod[4];
_mm256_storeu_pd(prod, __prod);
x = prod[0];
y = prod[1];
#else
x *= scale;
y *= scale;
#endif
return;
}
template<typename T>
void Vector2<T>::operator*=(const T scale)
{
x *= scale;
y *= scale;
return;
}
Vector2<double> Vector2<double>::operator/(const double scale) const
{
#ifndef _EULE_NO_INTRINSICS_
// Move vector components and factors into registers
__m256d __vector_self = _mm256_set_pd(0, 0, y, x);
__m256d __scalar = _mm256_set1_pd(scale);
// Divide the components
__m256d __prod = _mm256_div_pd(__vector_self, __scalar);
// Retrieve and return these values
double prod[4];
_mm256_storeu_pd(prod, __prod);
return Vector2<double>(
prod[0],
prod[1]
);
#else
return Vector2<double>(
x / scale,
y / scale
);
#endif
}
template<typename T>
Vector2<T> Vector2<T>::operator/(const T scale) const
{
return Vector2<T>(
x / scale,
y / scale
);
}
void Vector2<double>::operator/=(const double scale)
{
#ifndef _EULE_NO_INTRINSICS_
// Move vector components and factors into registers
__m256d __vector_self = _mm256_set_pd(0, 0, y, x);
__m256d __scalar = _mm256_set1_pd(scale);
// Divide the components
__m256d __prod = _mm256_div_pd(__vector_self, __scalar);
// Retrieve and apply these values
double prod[4];
_mm256_storeu_pd(prod, __prod);
x = prod[0];
y = prod[1];
#else
x /= scale;
y /= scale;
#endif
return;
}
template<typename T>
void Vector2<T>::operator/=(const T scale)
{
x /= scale;
y /= scale;
return;
}
template<typename T>
void Vector2<T>::operator=(const Vector2<T>& other)
{
x = other.x;
y = other.y;
return;
}
template<typename T>
void Vector2<T>::operator=(Vector2<T>&& other) noexcept
{
x = std::move(other.x);
y = std::move(other.y);
return;
}
template<typename T>
bool Vector2<T>::operator==(const Vector2<T>& other) const
{
return
(x == other.x) &&
(y == other.y);
}
template<typename T>
bool Vector2<T>::operator!=(const Vector2<T>& other) const
{
return !operator==(other);
}
template<typename T>
Vector2<T> Vector2<T>::operator-() const
{
return Vector2<T>(
-x,
-y
);
}
// Don't want these includes above the other stuff
#include "Vector3.h"
#include "Vector4.h"
template<typename T>
Vector2<T>::operator Vector3<T>() const
{
return Vector3<T>(x, y, 0);
}
template<typename T>
Vector2<T>::operator Vector4<T>() const
{
return Vector4<T>(x, y, 0, 0);
}
template class Vector2<int>;
template class Vector2<double>;
// Some handy predefines
template <typename T>
const Vector2<double> Vector2<T>::up(0, 1);
template <typename T>
const Vector2<double> Vector2<T>::down(0, -1);
template <typename T>
const Vector2<double> Vector2<T>::right(1, 0);
template <typename T>
const Vector2<double> Vector2<T>::left(-1, 0);
template <typename T>
const Vector2<double> Vector2<T>::one(1, 1);
template <typename T>
const Vector2<double> Vector2<T>::zero(0, 0);
Eule::Vector2::DotProduct
double DotProduct(const Vector2< T > &other) const
Will compute the dot product to another Vector2.
Definition: Vector2.cpp:47
Eule::Vector3
Representation of a 3d vector.
Definition: Matrix4x4.h:9
Math.h
Eule::Vector2::ToDouble
Vector2< double > ToDouble() const
Will convert this vector to a Vector2d.
Definition: Vector2.cpp:310
Vector2.h
Eule::Vector2::NormalizeSelf
void NormalizeSelf()
Will normalize this vector.
Definition: Vector2.cpp:187
Vector4.h
Eule::Vector2< double >
Eule::Vector2::x
T x
Definition: Vector2.h:89
Eule::Vector2::y
T y
Definition: Vector2.h:90
Vector3.h
Eule
Definition: Collider.h:4
Eule::Vector2::LerpSelf
void LerpSelf(const Vector2< T > &other, double t)
Will lerp itself towards other by t.
Definition: Vector2.cpp:238
Eule::Vector4
Representation of a 4d vector.
Definition: Vector2.h:8