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class  Eule::Collider
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1 #pragma once
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2 #include "Vector3.h"
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10  class Collider
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Eule::Collider
Abstract class of a collider domain.
Definition: Collider.h:10
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virtual bool Contains(const Vector3d &point) const =0
Tests, if this Collider contains a point.
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Definition: Collider.h:4
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static constexpr double PI = 3.14159265358979323846264338327950288419716939937510
 Pi up to 50 decimal places. More...
 
static constexpr double HALF_PI = 1.57079632679489661923132169163975144209858469968755
 Pi divided by two. More...
 
static constexpr double Deg2Rad = 0.0174532925199432957692369076848861271344287188854172222222222222
 Factor to convert degrees to radians. More...
 
static constexpr double Rad2Deg = 57.295779513082320876798154814105170332405472466564427711013084788
 Factor to convert radians to degrees. More...
 
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constexpr double Deg2Rad = 0.0174532925199432957692369076848861271344287188854172222222222222
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Factor to convert degrees to radians.

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constexpr double HALF_PI = 1.57079632679489661923132169163975144209858469968755
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Pi divided by two.

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constexpr double PI = 3.14159265358979323846264338327950288419716939937510
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Factor to convert radians to degrees.

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static constexpr double PI
Pi up to 50 decimal places.
Definition: Constants.h:6
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static constexpr double Deg2Rad
Factor to convert degrees to radians.
Definition: Constants.h:12
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static constexpr double Rad2Deg
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static constexpr double HALF_PI
Pi divided by two.
Definition: Constants.h:9
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#define MAKE_SURE_RNG_IS_INITIALIZED   if (!isRngInitialized) InitRng();
 
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Eule::Math::RandomChance
static bool RandomChance(const double chance)
Will 'roll' a dice, returning true percent of the time.
Definition: Math.cpp:73
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PI
static constexpr double PI
Pi up to 50 decimal places.
Definition: Constants.h:6
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static double RandomRange(const double min, const double max)
Will return a random double within a range These bounds are INCLUSIVE!
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static int Mod(const int numerator, const int denominator)
Will compute the actual modulo of a fraction.
Definition: Math.cpp:78
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static unsigned int RandomInt()
Will return a random integer.
Definition: Math.cpp:45
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static int RandomIntRange(const int max, const int min)
Will return a random integer within a range.
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static double Random()
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static unsigned int RandomUint()
Will return a random unsigned integer.
Definition: Math.cpp:37
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HALF_PI
static constexpr double HALF_PI
Pi divided by two.
Definition: Constants.h:9
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Definition: Collider.h:4
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static double Oscillate(const double a, const double b, const double counter, const double speed)
Kind of like , but it oscillates over instead of , by a given speed.
Definition: Math.cpp:68
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 Eule
 
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- - diff --git a/Doxygen/build/Math_8h__dep__incl.map b/Doxygen/build/Math_8h__dep__incl.map deleted file mode 100644 index 0305d75..0000000 --- a/Doxygen/build/Math_8h__dep__incl.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/Doxygen/build/Math_8h__dep__incl.md5 b/Doxygen/build/Math_8h__dep__incl.md5 deleted file mode 100644 index 439b315..0000000 --- a/Doxygen/build/Math_8h__dep__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -73207d65ad51e6c8ebeaac070e30ef55 \ No newline at end of file diff --git a/Doxygen/build/Math_8h__dep__incl.png b/Doxygen/build/Math_8h__dep__incl.png deleted file mode 100644 index aa88a7f..0000000 Binary files a/Doxygen/build/Math_8h__dep__incl.png and /dev/null differ diff --git a/Doxygen/build/Math_8h__incl.map b/Doxygen/build/Math_8h__incl.map deleted file mode 100644 index ab15bad..0000000 --- a/Doxygen/build/Math_8h__incl.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/Doxygen/build/Math_8h__incl.md5 b/Doxygen/build/Math_8h__incl.md5 deleted file mode 100644 index a77a0ab..0000000 --- a/Doxygen/build/Math_8h__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -30e3340847668dd6d0fcf574a3f1e946 \ No newline at end of file diff --git a/Doxygen/build/Math_8h__incl.png b/Doxygen/build/Math_8h__incl.png deleted file mode 100644 index f3cbb31..0000000 Binary files a/Doxygen/build/Math_8h__incl.png and /dev/null differ diff --git a/Doxygen/build/Math_8h_source.html b/Doxygen/build/Math_8h_source.html deleted file mode 100644 index 410a0a1..0000000 --- a/Doxygen/build/Math_8h_source.html +++ /dev/null @@ -1,187 +0,0 @@ - - - - - - - -Leonetienne/Eule: Eule/Math.h Source File - - - - - - - - - - - -
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- - - - - - -
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Leonetienne/Eule -
-
Homemade math library, mainly targetted towards computer graphics
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- - -
- -
- - -
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Math.h
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-
-Go to the documentation of this file.
1 #pragma once
-
2 #include <random>
-
3 #include <stdexcept>
-
4 
-
5 namespace Eule
-
6 {
-
9  class Math
-
10  {
-
11  public:
-
13  [[nodiscard]] static constexpr double Max(const double a, const double b);
-
14 
-
16  [[nodiscard]] static constexpr double Min(const double a, const double b);
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17 
-
19  [[nodiscard]] static constexpr double Clamp(const double v, const double min, const double max);
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20 
-
22  [[nodiscard]] static constexpr double Lerp(double a, double b, double t);
-
23 
-
25  [[nodiscard]] static constexpr double Abs(const double a);
-
26 
-
28  [[nodiscard]] static constexpr bool Similar(const double a, const double b, const double epsilon = 0.00001);
-
29 
-
32  [[nodiscard]] static int Mod(const int numerator, const int denominator);
-
33 
-
35  static double Random();
-
36 
-
38  static unsigned int RandomUint();
-
39 
-
41  static unsigned int RandomInt();
-
42 
-
45  static double RandomRange(const double min, const double max);
-
46 
-
49  static int RandomIntRange(const int max, const int min);
-
50 
-
52  static bool RandomChance(const double chance);
-
53 
-
58  static double Oscillate(const double a, const double b, const double counter, const double speed);
-
59 
-
60  private:
-
62  static void InitRng();
-
63 
-
64  static std::mt19937 rng;
-
65  static bool isRngInitialized;
-
66 
-
67  // No instanciation! >:(
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68  Math();
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69  };
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70 
-
71 
-
72 
-
73  /* These are just the inline methods. They have to lie in the header file. */
-
74  /* The more sophisticated methods are in the .cpp */
-
75 
-
76  constexpr inline double Math::Max(double a, double b)
-
77  {
-
78  return (a > b) ? a : b;
-
79  }
-
80 
-
81  constexpr inline double Math::Min(double a, double b)
-
82  {
-
83  return (a < b) ? a : b;
-
84  }
-
85 
-
86  constexpr inline double Math::Clamp(double v, double min, double max)
-
87  {
-
88  return Max(Min(v, max), min);
-
89  }
-
90 
-
91  constexpr inline double Math::Lerp(double a, double b, double t)
-
92  {
-
93  const double it = 1.0 - t;
-
94  return (a * it) + (b * t);
-
95  }
-
96 
-
97  constexpr inline double Math::Abs(const double a)
-
98  {
-
99  return (a > 0.0) ? a : -a;
-
100  }
-
101 
-
102  constexpr inline bool Math::Similar(const double a, const double b, const double epsilon)
-
103  {
-
104  return Abs(a - b) <= epsilon;
-
105  }
-
106 }
-
-
Eule::Math::RandomChance
static bool RandomChance(const double chance)
Will 'roll' a dice, returning true percent of the time.
Definition: Math.cpp:73
-
Eule::Math::Abs
static constexpr double Abs(const double a)
Will return the absolute value of a
Definition: Math.h:97
-
Eule::Math::RandomRange
static double RandomRange(const double min, const double max)
Will return a random double within a range These bounds are INCLUSIVE!
Definition: Math.cpp:56
-
Eule::Math::Lerp
static constexpr double Lerp(double a, double b, double t)
Will return the linear interpolation between a and b by t
Definition: Math.h:91
-
Eule::Math::Mod
static int Mod(const int numerator, const int denominator)
Will compute the actual modulo of a fraction.
Definition: Math.cpp:78
-
Eule::Math::RandomInt
static unsigned int RandomInt()
Will return a random integer.
Definition: Math.cpp:45
-
Eule::Math::Max
static constexpr double Max(const double a, const double b)
Will return the bigger of two values.
Definition: Math.h:76
-
Eule::Math
Math utility class containing basic functions.
Definition: Math.h:9
-
Eule::Math::Clamp
static constexpr double Clamp(const double v, const double min, const double max)
Will return v, but at least min, and at most max
Definition: Math.h:86
-
Eule::Math::Min
static constexpr double Min(const double a, const double b)
Will return the smaller of two values.
Definition: Math.h:81
-
Eule::Math::RandomIntRange
static int RandomIntRange(const int max, const int min)
Will return a random integer within a range.
Definition: Math.cpp:63
-
Eule::Math::Similar
static constexpr bool Similar(const double a, const double b, const double epsilon=0.00001)
Compares two double values with a given accuracy.
Definition: Math.h:102
-
Eule::Math::Random
static double Random()
Will return a random double between 0 and 1
Definition: Math.cpp:29
-
Eule::Math::RandomUint
static unsigned int RandomUint()
Will return a random unsigned integer.
Definition: Math.cpp:37
-
Eule
Definition: Collider.h:4
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Eule::Math::Oscillate
static double Oscillate(const double a, const double b, const double counter, const double speed)
Kind of like , but it oscillates over instead of , by a given speed.
Definition: Math.cpp:68
- -
-Generated on Mon Nov 15 2021 16:10:18 for Leonetienne/Eule by   -doxygen - 1.8.17 -
- - diff --git a/Doxygen/build/Matrix4x4_8cpp.html b/Doxygen/build/Matrix4x4_8cpp.html deleted file mode 100644 index 1501ab2..0000000 --- a/Doxygen/build/Matrix4x4_8cpp.html +++ /dev/null @@ -1,130 +0,0 @@ - - - - - - - -Leonetienne/Eule: Eule/Matrix4x4.cpp File Reference - - - - - - - - - - - -
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Leonetienne/Eule -
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Homemade math library, mainly targetted towards computer graphics
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- - -
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-Namespaces | -Functions
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Matrix4x4.cpp File Reference
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#include "Matrix4x4.h"
-#include "Vector3.h"
-#include "Math.h"
-#include <immintrin.h>
-
-Include dependency graph for Matrix4x4.cpp:
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Go to the source code of this file.

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-Namespaces

 Eule
 
- - - - - -

-Functions

std::ostream & Eule::operator<< (std::ostream &os, const Matrix4x4 &m)
 
std::wostream & Eule::operator<< (std::wostream &os, const Matrix4x4 &m)
 
-
- -
-Generated on Mon Nov 15 2021 16:10:18 for Leonetienne/Eule by   -doxygen - 1.8.17 -
- - diff --git a/Doxygen/build/Matrix4x4_8cpp__incl.map b/Doxygen/build/Matrix4x4_8cpp__incl.map deleted file mode 100644 index c1238c4..0000000 --- a/Doxygen/build/Matrix4x4_8cpp__incl.map +++ /dev/null @@ -1,15 +0,0 @@ - - - - - - - - - - - - - - - diff --git a/Doxygen/build/Matrix4x4_8cpp__incl.md5 b/Doxygen/build/Matrix4x4_8cpp__incl.md5 deleted file mode 100644 index 3ea338d..0000000 --- a/Doxygen/build/Matrix4x4_8cpp__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -249160e44e952572df002a88ede6eb16 \ No newline at end of file diff --git a/Doxygen/build/Matrix4x4_8cpp__incl.png b/Doxygen/build/Matrix4x4_8cpp__incl.png deleted file mode 100644 index 811988b..0000000 Binary files a/Doxygen/build/Matrix4x4_8cpp__incl.png and /dev/null differ diff --git a/Doxygen/build/Matrix4x4_8cpp_source.html b/Doxygen/build/Matrix4x4_8cpp_source.html deleted file mode 100644 index dde9492..0000000 --- a/Doxygen/build/Matrix4x4_8cpp_source.html +++ /dev/null @@ -1,786 +0,0 @@ - - - - - - - -Leonetienne/Eule: Eule/Matrix4x4.cpp Source File - - - - - - - - - - - -
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- - - - - - -
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Leonetienne/Eule -
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Homemade math library, mainly targetted towards computer graphics
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-
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- - -
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Matrix4x4.cpp
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-Go to the documentation of this file.
1 #include "Matrix4x4.h"
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2 #include "Vector3.h"
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3 #include "Math.h"
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4 
-
5 //#define _EULE_NO_INTRINSICS_
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6 #ifndef _EULE_NO_INTRINSICS_
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7 #include <immintrin.h>
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8 #endif
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9 
-
10 using namespace Eule;
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11 
-
12 Matrix4x4::Matrix4x4()
-
13 {
-
14  // Create identity matrix
-
15  for (std::size_t i = 0; i < 4; i++)
-
16  for (std::size_t j = 0; j < 4; j++)
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17  v[i][j] = double(i == j);
-
18 
-
19  return;
-
20 }
-
21 
-
22 Matrix4x4::Matrix4x4(const Matrix4x4& other)
-
23 {
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24  v = other.v;
-
25  return;
-
26 }
-
27 
-
28 Matrix4x4::Matrix4x4(Matrix4x4&& other) noexcept
-
29 {
-
30  v = std::move(other.v);
-
31  return;
-
32 }
-
33 
-
34 Matrix4x4 Matrix4x4::operator*(const Matrix4x4& other) const
-
35 {
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36  Matrix4x4 newMatrix;
-
37  newMatrix.p = 1;
-
38 
-
39  #ifndef _EULE_NO_INTRINSICS_
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40 
-
41 
-
42  /* <= Matrix3x3 multiplication => */
-
43 
-
44  // Load matrix components
-
45  __m256d __va1 = _mm256_set_pd(v[0][0], v[0][0], v[0][0], v[1][0]);
-
46  __m256d __va2 = _mm256_set_pd(v[1][0], v[1][0], v[2][0], v[2][0]);
-
47 
-
48  __m256d __oa1 = _mm256_set_pd(other[0][0], other[0][1], other[0][2], other[0][0]);
-
49  __m256d __oa2 = _mm256_set_pd(other[0][1], other[0][2], other[0][0], other[0][1]);
-
50 
-
51  __m256d __vb1 = _mm256_set_pd(v[0][1], v[0][1], v[0][1], v[1][1]);
-
52  __m256d __vb2 = _mm256_set_pd(v[1][1], v[1][1], v[2][1], v[2][1]);
-
53 
-
54  __m256d __ob1 = _mm256_set_pd(other[1][0], other[1][1], other[1][2], other[1][0]);
-
55  __m256d __ob2 = _mm256_set_pd(other[1][1], other[1][2], other[1][0], other[1][1]);
-
56 
-
57  __m256d __vc1 = _mm256_set_pd(v[0][2], v[0][2], v[0][2], v[1][2]);
-
58  __m256d __vc2 = _mm256_set_pd(v[1][2], v[1][2], v[2][2], v[2][2]);
-
59 
-
60  __m256d __oc1 = _mm256_set_pd(other[2][0], other[2][1], other[2][2], other[2][0]);
-
61  __m256d __oc2 = _mm256_set_pd(other[2][1], other[2][2], other[2][0], other[2][1]);
-
62 
-
63  // Initialize sums
-
64  __m256d __sum1 = _mm256_set1_pd(0);
-
65  __m256d __sum2 = _mm256_set1_pd(0);
-
66 
-
67  // Let's multiply-add them together
-
68  // First, the first block
-
69  __sum1 = _mm256_fmadd_pd(__va1, __oa1, __sum1);
-
70  __sum1 = _mm256_fmadd_pd(__vb1, __ob1, __sum1);
-
71  __sum1 = _mm256_fmadd_pd(__vc1, __oc1, __sum1);
-
72 
-
73  // Then the second block
-
74  __sum2 = _mm256_fmadd_pd(__va2, __oa2, __sum2);
-
75  __sum2 = _mm256_fmadd_pd(__vb2, __ob2, __sum2);
-
76  __sum2 = _mm256_fmadd_pd(__vc2, __oc2, __sum2);
-
77 
-
78  // Retrieve results
-
79  double sum1[4];
-
80  double sum2[4];
-
81 
-
82  _mm256_storeu_pd(sum1, __sum1);
-
83  _mm256_storeu_pd(sum2, __sum2);
-
84 
-
85  // Apply results
-
86  // Block 1
-
87  newMatrix[0][0] = sum1[3];
-
88  newMatrix[0][1] = sum1[2];
-
89  newMatrix[0][2] = sum1[1];
-
90  newMatrix[1][0] = sum1[0];
-
91 
-
92  // Block 2
-
93  newMatrix[1][1] = sum2[3];
-
94  newMatrix[1][2] = sum2[2];
-
95  newMatrix[2][0] = sum2[1];
-
96  newMatrix[2][1] = sum2[0];
-
97 
-
98  // Does not fit in the intrinsic calculation. Might just calculate 'by hand'.
-
99  newMatrix[2][2] = (v[2][0] * other[0][2]) + (v[2][1] * other[1][2]) + (v[2][2] * other[2][2]);
-
100 
-
101 
-
102  /* <= Translation component => */
-
103 
-
104  // Load translation components into registers
-
105  __m256d __transSelf = _mm256_set_pd(0, l, h, d);
-
106  __m256d __transOther = _mm256_set_pd(0, other.l, other.h, other.d);
-
107 
-
108  // Let's add them
-
109  __m256d __sum = _mm256_add_pd(__transSelf, __transOther);
-
110 
-
111  // Retrieve results
-
112  double sum[4];
-
113  _mm256_storeu_pd(sum, __sum);
-
114 
-
115  // Apply them
-
116  newMatrix.d = sum[0];
-
117  newMatrix.h = sum[1];
-
118  newMatrix.l = sum[2];
-
119 
-
120  #else
-
121 
-
122 
-
123  // Rotation, Scaling
-
124  newMatrix[0][0] = (v[0][0] * other[0][0]) + (v[0][1] * other[1][0]) + (v[0][2] * other[2][0]);
-
125  newMatrix[0][1] = (v[0][0] * other[0][1]) + (v[0][1] * other[1][1]) + (v[0][2] * other[2][1]);
-
126  newMatrix[0][2] = (v[0][0] * other[0][2]) + (v[0][1] * other[1][2]) + (v[0][2] * other[2][2]);
-
127 
-
128  newMatrix[1][0] = (v[1][0] * other[0][0]) + (v[1][1] * other[1][0]) + (v[1][2] * other[2][0]);
-
129  newMatrix[1][1] = (v[1][0] * other[0][1]) + (v[1][1] * other[1][1]) + (v[1][2] * other[2][1]);
-
130  newMatrix[1][2] = (v[1][0] * other[0][2]) + (v[1][1] * other[1][2]) + (v[1][2] * other[2][2]);
-
131 
-
132  newMatrix[2][0] = (v[2][0] * other[0][0]) + (v[2][1] * other[1][0]) + (v[2][2] * other[2][0]);
-
133  newMatrix[2][1] = (v[2][0] * other[0][1]) + (v[2][1] * other[1][1]) + (v[2][2] * other[2][1]);
-
134  newMatrix[2][2] = (v[2][0] * other[0][2]) + (v[2][1] * other[1][2]) + (v[2][2] * other[2][2]);
-
135 
-
136 
-
137  // Translation
-
138  newMatrix[0][3] = v[0][3] + other[0][3];
-
139  newMatrix[1][3] = v[1][3] + other[1][3];
-
140  newMatrix[2][3] = v[2][3] + other[2][3];
-
141 
-
142  #endif
-
143 
-
144  return newMatrix;
-
145 }
-
146 
-
147 void Matrix4x4::operator*=(const Matrix4x4& other)
-
148 {
-
149  *this = *this * other;
-
150  return;
-
151 }
-
152 
-
153 Matrix4x4 Matrix4x4::operator/(const Matrix4x4& other) const
-
154 {
-
155  return *this * other.Inverse3x3();
-
156 }
-
157 
-
158 void Matrix4x4::operator/=(const Matrix4x4& other)
-
159 {
-
160  *this = *this * other.Inverse3x3();
-
161  return;
-
162 }
-
163 
-
164 Matrix4x4 Matrix4x4::operator*(const double scalar) const
-
165 {
-
166  Matrix4x4 m;
-
167 
-
168  #ifndef _EULE_NO_INTRINSICS_
-
169 
-
170  // Load matrix rows
-
171  __m256d __row0 = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
-
172  __m256d __row1 = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
-
173  __m256d __row2 = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
-
174  __m256d __row3 = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
-
175 
-
176  // Load scalar
-
177  __m256d __scalar = _mm256_set1_pd(scalar);
-
178 
-
179  // Scale values
-
180  __m256d __sr0 = _mm256_mul_pd(__row0, __scalar);
-
181  __m256d __sr1 = _mm256_mul_pd(__row1, __scalar);
-
182  __m256d __sr2 = _mm256_mul_pd(__row2, __scalar);
-
183  __m256d __sr3 = _mm256_mul_pd(__row3, __scalar);
-
184 
-
185  // Extract results
-
186  _mm256_storeu_pd(m.v[0].data(), __sr0);
-
187  _mm256_storeu_pd(m.v[1].data(), __sr1);
-
188  _mm256_storeu_pd(m.v[2].data(), __sr2);
-
189  _mm256_storeu_pd(m.v[3].data(), __sr3);
-
190 
-
191  #else
-
192 
-
193  for (std::size_t x = 0; x < 4; x++)
-
194  for (std::size_t y = 0; y < 4; y++)
-
195  m[x][y] = v[x][y] * scalar;
-
196 
-
197  #endif
-
198 
-
199  return m;
-
200 }
-
201 
-
202 void Matrix4x4::operator*=(const double scalar)
-
203 {
-
204  *this = *this * scalar;
-
205  return;
-
206 }
-
207 
-
208 Matrix4x4 Matrix4x4::operator/(const double denominator) const
-
209 {
-
210  const double precomputeDivision = 1.0 / denominator;
-
211 
-
212  return *this * precomputeDivision;
-
213 }
-
214 
-
215 void Matrix4x4::operator/=(const double denominator)
-
216 {
-
217  *this = *this / denominator;
-
218  return;
-
219 }
-
220 
-
221 Matrix4x4 Matrix4x4::operator+(const Matrix4x4& other) const
-
222 {
-
223  Matrix4x4 m;
-
224 
-
225  #ifndef _EULE_NO_INTRINSICS_
-
226 
-
227  // Load matrix rows
-
228  __m256d __row0a = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
-
229  __m256d __row1a = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
-
230  __m256d __row2a = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
-
231  __m256d __row3a = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
-
232 
-
233  __m256d __row0b = _mm256_set_pd(other[0][3], other[0][2], other[0][1], other[0][0]);
-
234  __m256d __row1b = _mm256_set_pd(other[1][3], other[1][2], other[1][1], other[1][0]);
-
235  __m256d __row2b = _mm256_set_pd(other[2][3], other[2][2], other[2][1], other[2][0]);
-
236  __m256d __row3b = _mm256_set_pd(other[3][3], other[3][2], other[3][1], other[3][0]);
-
237 
-
238  // Add rows
-
239  __m256d __sr0 = _mm256_add_pd(__row0a, __row0b);
-
240  __m256d __sr1 = _mm256_add_pd(__row1a, __row1b);
-
241  __m256d __sr2 = _mm256_add_pd(__row2a, __row2b);
-
242  __m256d __sr3 = _mm256_add_pd(__row3a, __row3b);
-
243 
-
244  // Extract results
-
245  _mm256_storeu_pd(m.v[0].data(), __sr0);
-
246  _mm256_storeu_pd(m.v[1].data(), __sr1);
-
247  _mm256_storeu_pd(m.v[2].data(), __sr2);
-
248  _mm256_storeu_pd(m.v[3].data(), __sr3);
-
249 
-
250  #else
-
251 
-
252  for (std::size_t x = 0; x < 4; x++)
-
253  for (std::size_t y = 0; y < 4; y++)
-
254  m[x][y] = v[x][y] + other[x][y];
-
255 
-
256  #endif
-
257 
-
258  return m;
-
259 }
-
260 
-
261 void Matrix4x4::operator+=(const Matrix4x4& other)
-
262 {
-
263  #ifndef _EULE_NO_INTRINSICS_
-
264  // Doing it again is a tad directer, and thus faster. We avoid an intermittent Matrix4x4 instance
-
265 
-
266  // Load matrix rows
-
267  __m256d __row0a = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
-
268  __m256d __row1a = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
-
269  __m256d __row2a = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
-
270  __m256d __row3a = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
-
271 
-
272  __m256d __row0b = _mm256_set_pd(other[0][3], other[0][2], other[0][1], other[0][0]);
-
273  __m256d __row1b = _mm256_set_pd(other[1][3], other[1][2], other[1][1], other[1][0]);
-
274  __m256d __row2b = _mm256_set_pd(other[2][3], other[2][2], other[2][1], other[2][0]);
-
275  __m256d __row3b = _mm256_set_pd(other[3][3], other[3][2], other[3][1], other[3][0]);
-
276 
-
277  // Add rows
-
278  __m256d __sr0 = _mm256_add_pd(__row0a, __row0b);
-
279  __m256d __sr1 = _mm256_add_pd(__row1a, __row1b);
-
280  __m256d __sr2 = _mm256_add_pd(__row2a, __row2b);
-
281  __m256d __sr3 = _mm256_add_pd(__row3a, __row3b);
-
282 
-
283  // Extract results
-
284  _mm256_storeu_pd(v[0].data(), __sr0);
-
285  _mm256_storeu_pd(v[1].data(), __sr1);
-
286  _mm256_storeu_pd(v[2].data(), __sr2);
-
287  _mm256_storeu_pd(v[3].data(), __sr3);
-
288 
-
289  #else
-
290 
-
291  *this = *this + other;
-
292 
-
293  #endif
-
294 
-
295  return;
-
296 }
-
297 
-
298 Matrix4x4 Matrix4x4::operator-(const Matrix4x4& other) const
-
299 {
-
300  Matrix4x4 m;
-
301 
-
302  #ifndef _EULE_NO_INTRINSICS_
-
303 
-
304  // Load matrix rows
-
305  __m256d __row0a = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
-
306  __m256d __row1a = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
-
307  __m256d __row2a = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
-
308  __m256d __row3a = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
-
309 
-
310  __m256d __row0b = _mm256_set_pd(other[0][3], other[0][2], other[0][1], other[0][0]);
-
311  __m256d __row1b = _mm256_set_pd(other[1][3], other[1][2], other[1][1], other[1][0]);
-
312  __m256d __row2b = _mm256_set_pd(other[2][3], other[2][2], other[2][1], other[2][0]);
-
313  __m256d __row3b = _mm256_set_pd(other[3][3], other[3][2], other[3][1], other[3][0]);
-
314 
-
315  // Subtract rows
-
316  __m256d __sr0 = _mm256_sub_pd(__row0a, __row0b);
-
317  __m256d __sr1 = _mm256_sub_pd(__row1a, __row1b);
-
318  __m256d __sr2 = _mm256_sub_pd(__row2a, __row2b);
-
319  __m256d __sr3 = _mm256_sub_pd(__row3a, __row3b);
-
320 
-
321  // Extract results
-
322  _mm256_storeu_pd(m.v[0].data(), __sr0);
-
323  _mm256_storeu_pd(m.v[1].data(), __sr1);
-
324  _mm256_storeu_pd(m.v[2].data(), __sr2);
-
325  _mm256_storeu_pd(m.v[3].data(), __sr3);
-
326 
-
327  #else
-
328 
-
329  for (std::size_t x = 0; x < 4; x++)
-
330  for (std::size_t y = 0; y < 4; y++)
-
331  m[x][y] = v[x][y] - other[x][y];
-
332 
-
333  #endif
-
334 
-
335  return m;
-
336 }
-
337 
-
338 void Matrix4x4::operator-=(const Matrix4x4& other)
-
339 {
-
340  #ifndef _EULE_NO_INTRINSICS_
-
341  // Doing it again is a tad directer, and thus faster. We avoid an intermittent Matrix4x4 instance
-
342 
-
343  // Load matrix rows
-
344  __m256d __row0a = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
-
345  __m256d __row1a = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
-
346  __m256d __row2a = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
-
347  __m256d __row3a = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
-
348 
-
349  __m256d __row0b = _mm256_set_pd(other[0][3], other[0][2], other[0][1], other[0][0]);
-
350  __m256d __row1b = _mm256_set_pd(other[1][3], other[1][2], other[1][1], other[1][0]);
-
351  __m256d __row2b = _mm256_set_pd(other[2][3], other[2][2], other[2][1], other[2][0]);
-
352  __m256d __row3b = _mm256_set_pd(other[3][3], other[3][2], other[3][1], other[3][0]);
-
353 
-
354  // Subtract rows
-
355  __m256d __sr0 = _mm256_sub_pd(__row0a, __row0b);
-
356  __m256d __sr1 = _mm256_sub_pd(__row1a, __row1b);
-
357  __m256d __sr2 = _mm256_sub_pd(__row2a, __row2b);
-
358  __m256d __sr3 = _mm256_sub_pd(__row3a, __row3b);
-
359 
-
360  // Extract results
-
361  _mm256_storeu_pd(v[0].data(), __sr0);
-
362  _mm256_storeu_pd(v[1].data(), __sr1);
-
363  _mm256_storeu_pd(v[2].data(), __sr2);
-
364  _mm256_storeu_pd(v[3].data(), __sr3);
-
365 
-
366  #else
-
367 
-
368  * this = *this - other;
-
369 
-
370  #endif
-
371 
-
372  return;
-
373 }
-
374 
-
375 std::array<double, 4>& Matrix4x4::operator[](std::size_t y)
-
376 {
-
377  return v[y];
-
378 }
-
379 
-
380 const std::array<double, 4>& Matrix4x4::operator[](std::size_t y) const
-
381 {
-
382  return v[y];
-
383 }
-
384 
-
385 void Matrix4x4::operator=(const Matrix4x4& other)
-
386 {
-
387  v = other.v;
-
388  return;
-
389 }
-
390 
-
391 void Matrix4x4::operator=(Matrix4x4&& other) noexcept
-
392 {
-
393  v = std::move(other.v);
-
394  return;
-
395 }
-
396 
-
397 bool Matrix4x4::operator==(const Matrix4x4& other)
-
398 {
-
399  return v == other.v;
-
400 }
-
401 
-
402 bool Matrix4x4::operator!=(const Matrix4x4& other)
-
403 {
-
404  return !operator==(other);
-
405 }
-
406 
-
407 const Vector3d Matrix4x4::GetTranslationComponent() const
-
408 {
-
409  return Vector3d(d, h, l);
-
410 }
-
411 
-
412 void Matrix4x4::SetTranslationComponent(const Vector3d& trans)
-
413 {
-
414  d = trans.x;
-
415  h = trans.y;
-
416  l = trans.z;
-
417  return;
-
418 }
-
419 
-
420 Matrix4x4 Matrix4x4::DropTranslationComponents() const
-
421 {
-
422  Matrix4x4 m(*this);
-
423  m.d = 0;
-
424  m.h = 0;
-
425  m.l = 0;
-
426  return m;
-
427 }
-
428 
-
429 Matrix4x4 Matrix4x4::Transpose3x3() const
-
430 {
-
431  Matrix4x4 trans(*this); // Keep other cells
-
432 
-
433  for (std::size_t i = 0; i < 3; i++)
-
434  for (std::size_t j = 0; j < 3; j++)
-
435  trans[j][i] = v[i][j];
-
436 
-
437  return trans;
-
438 }
-
439 
-
440 Matrix4x4 Matrix4x4::Transpose4x4() const
-
441 {
-
442  Matrix4x4 trans;
-
443 
-
444  for (std::size_t i = 0; i < 4; i++)
-
445  for (std::size_t j = 0; j < 4; j++)
-
446  trans[j][i] = v[i][j];
-
447 
-
448  return trans;
-
449 }
-
450 
-
451 Matrix4x4 Matrix4x4::Multiply4x4(const Matrix4x4& o) const
-
452 {
-
453  Matrix4x4 m;
-
454 
-
455  m[0][0] = (v[0][0]*o[0][0]) + (v[0][1]*o[1][0]) + (v[0][2]*o[2][0]) + (v[0][3]*o[3][0]);
-
456  m[0][1] = (v[0][0]*o[0][1]) + (v[0][1]*o[1][1]) + (v[0][2]*o[2][1]) + (v[0][3]*o[3][1]);
-
457  m[0][2] = (v[0][0]*o[0][2]) + (v[0][1]*o[1][2]) + (v[0][2]*o[2][2]) + (v[0][3]*o[3][2]);
-
458  m[0][3] = (v[0][0]*o[0][3]) + (v[0][1]*o[1][3]) + (v[0][2]*o[2][3]) + (v[0][3]*o[3][3]);
-
459 
-
460  m[1][0] = (v[1][0]*o[0][0]) + (v[1][1]*o[1][0]) + (v[1][2]*o[2][0]) + (v[1][3]*o[3][0]);
-
461  m[1][1] = (v[1][0]*o[0][1]) + (v[1][1]*o[1][1]) + (v[1][2]*o[2][1]) + (v[1][3]*o[3][1]);
-
462  m[1][2] = (v[1][0]*o[0][2]) + (v[1][1]*o[1][2]) + (v[1][2]*o[2][2]) + (v[1][3]*o[3][2]);
-
463  m[1][3] = (v[1][0]*o[0][3]) + (v[1][1]*o[1][3]) + (v[1][2]*o[2][3]) + (v[1][3]*o[3][3]);
-
464 
-
465  m[2][0] = (v[2][0]*o[0][0]) + (v[2][1]*o[1][0]) + (v[2][2]*o[2][0]) + (v[2][3]*o[3][0]);
-
466  m[2][1] = (v[2][0]*o[0][1]) + (v[2][1]*o[1][1]) + (v[2][2]*o[2][1]) + (v[2][3]*o[3][1]);
-
467  m[2][2] = (v[2][0]*o[0][2]) + (v[2][1]*o[1][2]) + (v[2][2]*o[2][2]) + (v[2][3]*o[3][2]);
-
468  m[2][3] = (v[2][0]*o[0][3]) + (v[2][1]*o[1][3]) + (v[2][2]*o[2][3]) + (v[2][3]*o[3][3]);
-
469 
-
470  m[3][0] = (v[3][0]*o[0][0]) + (v[3][1]*o[1][0]) + (v[3][2]*o[2][0]) + (v[3][3]*o[3][0]);
-
471  m[3][1] = (v[3][0]*o[0][1]) + (v[3][1]*o[1][1]) + (v[3][2]*o[2][1]) + (v[3][3]*o[3][1]);
-
472  m[3][2] = (v[3][0]*o[0][2]) + (v[3][1]*o[1][2]) + (v[3][2]*o[2][2]) + (v[3][3]*o[3][2]);
-
473  m[3][3] = (v[3][0]*o[0][3]) + (v[3][1]*o[1][3]) + (v[3][2]*o[2][3]) + (v[3][3]*o[3][3]);
-
474 
-
475  return m;
-
476 }
-
477 
-
478 Matrix4x4 Matrix4x4::GetCofactors(std::size_t p, std::size_t q, std::size_t n) const
-
479 {
-
480  if (n > 4)
-
481  throw std::runtime_error("Dimension out of range! 0 <= n <= 4");
-
482 
-
483  Matrix4x4 cofs;
-
484 
-
485  std::size_t i = 0;
-
486  std::size_t j = 0;
-
487 
-
488  for (std::size_t y = 0; y < n; y++)
-
489  for (std::size_t x = 0; x < n; x++)
-
490  {
-
491  if ((y != p) && (x != q))
-
492  {
-
493  cofs[i][j] = v[y][x];
-
494  j++;
-
495  }
-
496 
-
497  if (j == n - 1)
-
498  {
-
499  j = 0;
-
500  i++;
-
501  }
-
502  }
-
503 
-
504  return cofs;
-
505 }
-
506 
-
507 /*
-
508 * BEGIN_REF
-
509 * https://www.geeksforgeeks.org/adjoint-inverse-matrix/
-
510 */
-
511 double Matrix4x4::Determinant(std::size_t n) const
-
512 {
-
513  if (n > 4)
-
514  throw std::runtime_error("Dimension out of range! 0 <= n <= 4");
-
515 
-
516  double d = 0;
-
517  double sign = 1;
-
518 
-
519  if (n == 1)
-
520  return v[0][0];
-
521 
-
522  for (std::size_t x = 0; x < n; x++)
-
523  {
-
524  Matrix4x4 cofs = GetCofactors(0, x, n);
-
525 
-
526  d += sign * v[0][x] * cofs.Determinant(n - 1);
-
527  sign = -sign;
-
528  }
-
529 
-
530  return d;
-
531 }
-
532 
-
533 Matrix4x4 Matrix4x4::Adjoint(std::size_t n) const
-
534 {
-
535  if (n > 4)
-
536  throw std::runtime_error("Dimension out of range! 0 <= n <= 4");
-
537 
-
538  Matrix4x4 adj;
-
539  double sign = 1;
-
540 
-
541  for (std::size_t i = 0; i < n; i++)
-
542  for (std::size_t j = 0; j < n; j++)
-
543  {
-
544  Matrix4x4 cofs = GetCofactors(i, j, n);
-
545 
-
546  // sign of adj[j][i] positive if sum of row
-
547  // and column indexes is even.
-
548  sign = ((i + j) % 2 == 0) ? 1 : -1;
-
549 
-
550  // Interchanging rows and columns to get the
-
551  // transpose of the cofactor matrix
-
552  adj[j][i] = sign * (cofs.Determinant(n - 1));
-
553  }
-
554 
-
555  return adj;
-
556 }
-
557 
-
558 Matrix4x4 Matrix4x4::Inverse3x3() const
-
559 {
-
560  Matrix4x4 inv;
-
561 
-
562  double det = Determinant(3);
-
563  if (det == 0.0)
-
564  throw std::runtime_error("Matrix3x3 not inversible!");
-
565 
-
566  Matrix4x4 adj = Adjoint(3);
-
567 
-
568  for (std::size_t i = 0; i < 3; i++)
-
569  for (std::size_t j = 0; j < 3; j++)
-
570  inv[i][j] = adj[i][j] / det;
-
571 
-
572  inv.SetTranslationComponent(-GetTranslationComponent());
-
573 
-
574  return inv;
-
575 }
-
576 
-
577 Matrix4x4 Matrix4x4::Inverse4x4() const
-
578 {
-
579  Matrix4x4 inv;
-
580 
-
581  double det = Determinant(4);
-
582  if (det == 0.0)
-
583  throw std::runtime_error("Matrix4x4 not inversible!");
-
584 
-
585  Matrix4x4 adj = Adjoint(4);
-
586 
-
587  for (std::size_t i = 0; i < 4; i++)
-
588  for (std::size_t j = 0; j < 4; j++)
-
589  inv[i][j] = adj[i][j] / det;
-
590 
-
591  return inv;
-
592 }
-
593 
-
594 /*
-
595 * END REF
-
596 */
-
597 
-
598 bool Matrix4x4::IsInversible3x3() const
-
599 {
-
600  return (Determinant(3) != 0);
-
601 }
-
602 
-
603 bool Matrix4x4::IsInversible4x4() const
-
604 {
-
605  return (Determinant(4) != 0);
-
606 }
-
607 
-
608 bool Matrix4x4::Similar(const Matrix4x4& other, double epsilon) const
-
609 {
-
610  for (std::size_t i = 0; i < 4; i++)
-
611  for (std::size_t j = 0; j < 4; j++)
-
612  if (!Math::Similar(v[i][j], other[i][j], epsilon))
-
613  return false;
-
614 
-
615  return true;
-
616 }
-
617 
-
618 namespace Eule
-
619 {
-
620  std::ostream& operator<<(std::ostream& os, const Matrix4x4& m)
-
621  {
-
622  os << std::endl;
-
623 
-
624  for (std::size_t y = 0; y < 4; y++)
-
625  {
-
626  for (std::size_t x = 0; x < 4; x++)
-
627  os << " | " << m[y][x];
-
628 
-
629  os << " |" << std::endl;
-
630  }
-
631 
-
632  return os;
-
633  }
-
634 
-
635  std::wostream& operator<<(std::wostream& os, const Matrix4x4& m)
-
636  {
-
637  os << std::endl;
-
638 
-
639  for (std::size_t y = 0; y < 4; y++)
-
640  {
-
641  for (std::size_t x = 0; x < 4; x++)
-
642  os << L" | " << m[y][x];
-
643 
-
644  os << L" |" << std::endl;
-
645  }
-
646 
-
647  return os;
-
648  }
-
649 }
-
-
Eule::Matrix4x4::j
double & j
Definition: Matrix4x4.h:137
-
Eule::Matrix4x4::Inverse4x4
Matrix4x4 Inverse4x4() const
Will return the full 4x4-inverse of this matrix.
Definition: Matrix4x4.cpp:577
-
Eule::Matrix4x4::Adjoint
Matrix4x4 Adjoint(std::size_t n) const
Will return the adjoint of this matrix, by dimension n.
Definition: Matrix4x4.cpp:533
-
Eule::Matrix4x4::operator==
bool operator==(const Matrix4x4 &other)
Definition: Matrix4x4.cpp:397
-
Eule::Matrix4x4::operator+
Matrix4x4 operator+(const Matrix4x4 &other) const
Cellwise addition.
Definition: Matrix4x4.cpp:221
-
Eule::Matrix4x4::i
double & i
Definition: Matrix4x4.h:136
-
Eule::Matrix4x4::operator-=
void operator-=(const Matrix4x4 &other)
Cellwise subtraction.
Definition: Matrix4x4.cpp:338
-
Eule::Matrix4x4::Transpose4x4
Matrix4x4 Transpose4x4() const
Will return the 4x4 transpose of this matrix.
Definition: Matrix4x4.cpp:440
-
Eule::Matrix4x4::operator!=
bool operator!=(const Matrix4x4 &other)
Definition: Matrix4x4.cpp:402
-
Eule::Vector3< double >
-
Eule::Matrix4x4::operator[]
std::array< double, 4 > & operator[](std::size_t y)
Definition: Matrix4x4.cpp:375
-
Eule::Matrix4x4::DropTranslationComponents
Matrix4x4 DropTranslationComponents() const
Will return this Matrix4x4 with d,h,l being set to 0.
Definition: Matrix4x4.cpp:420
-
Eule::Matrix4x4::operator*=
void operator*=(const Matrix4x4 &other)
Definition: Matrix4x4.cpp:147
-
Eule::Matrix4x4::Inverse3x3
Matrix4x4 Inverse3x3() const
Will return the 3x3-inverse of this matrix.
Definition: Matrix4x4.cpp:558
-
Eule::Matrix4x4::operator/
Matrix4x4 operator/(const Matrix4x4 &other) const
Definition: Matrix4x4.cpp:153
-
Eule::Matrix4x4::v
std::array< std::array< double, 4 >, 4 > v
Array holding the matrices values.
Definition: Matrix4x4.h:44
-
Eule::Matrix4x4::operator*
Matrix4x4 operator*(const Matrix4x4 &other) const
Definition: Matrix4x4.cpp:34
-
Math.h
-
Eule::Vector3d
Vector3< double > Vector3d
Definition: Matrix4x4.h:9
-
Matrix4x4.h
-
Eule::Matrix4x4::operator=
void operator=(const Matrix4x4 &other)
Definition: Matrix4x4.cpp:385
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Eule::Vector3::z
T z
Definition: Vector3.h:96
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Eule::Matrix4x4
A matrix 4x4 class representing a 3d transformation.
Definition: Matrix4x4.h:36
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Eule::Matrix4x4::IsInversible4x4
bool IsInversible4x4() const
Will check if the entire matrix is inversible.
Definition: Matrix4x4.cpp:603
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Eule::Matrix4x4::Similar
bool Similar(const Matrix4x4 &other, double epsilon=0.00001) const
Will compare if two matrices are similar to a certain epsilon value.
Definition: Matrix4x4.cpp:608
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Eule::Matrix4x4::operator/=
void operator/=(const Matrix4x4 &other)
Definition: Matrix4x4.cpp:158
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Eule::Vector3::x
T x
Definition: Vector3.h:94
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Eule::Matrix4x4::p
double & p
Definition: Matrix4x4.h:143
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Eule::Math::Similar
static constexpr bool Similar(const double a, const double b, const double epsilon=0.00001)
Compares two double values with a given accuracy.
Definition: Math.h:102
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Eule::Matrix4x4::IsInversible3x3
bool IsInversible3x3() const
Will check if the 3x3-component is inversible.
Definition: Matrix4x4.cpp:598
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Eule::Matrix4x4::Transpose3x3
Matrix4x4 Transpose3x3() const
Will return the 3x3 transpose of this matrix.
Definition: Matrix4x4.cpp:429
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Eule::operator<<
std::ostream & operator<<(std::ostream &os, const Matrix4x4 &m)
Definition: Matrix4x4.cpp:620
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Eule::Matrix4x4::l
double & l
Definition: Matrix4x4.h:139
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Eule::Matrix4x4::operator-
Matrix4x4 operator-(const Matrix4x4 &other) const
Cellwise subtraction.
Definition: Matrix4x4.cpp:298
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Eule::Matrix4x4::Determinant
double Determinant(std::size_t n) const
Will return the determinant, by dimension n.
Definition: Matrix4x4.cpp:511
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Vector3.h
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Eule::Matrix4x4::operator+=
void operator+=(const Matrix4x4 &other)
Cellwise addition.
Definition: Matrix4x4.cpp:261
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Eule::Matrix4x4::Matrix4x4
Matrix4x4()
Definition: Matrix4x4.cpp:12
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Eule::Matrix4x4::SetTranslationComponent
void SetTranslationComponent(const Vector3d &trans)
Will set d,h,l from a Vector3d(x,y,z)
Definition: Matrix4x4.cpp:412
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Eule::Matrix4x4::Multiply4x4
Matrix4x4 Multiply4x4(const Matrix4x4 &o) const
Will return the Matrix4x4 of an actual 4x4 multiplication. operator* only does a 3x3.
Definition: Matrix4x4.cpp:451
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Eule::Matrix4x4::o
double & o
Definition: Matrix4x4.h:142
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Eule::Matrix4x4::m
double & m
Definition: Matrix4x4.h:140
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Eule::Matrix4x4::GetCofactors
Matrix4x4 GetCofactors(std::size_t p, std::size_t q, std::size_t n) const
Will return the cofactors of this matrix, by dimension n.
Definition: Matrix4x4.cpp:478
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Eule::Matrix4x4::GetTranslationComponent
const Vector3d GetTranslationComponent() const
Will return d,h,l as a Vector3d(x,y,z)
Definition: Matrix4x4.cpp:407
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Eule::Matrix4x4::n
double & n
Definition: Matrix4x4.h:141
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Eule::Matrix4x4::h
double & h
Definition: Matrix4x4.h:135
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Eule
Definition: Collider.h:4
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Eule::Matrix4x4::d
double & d
Definition: Matrix4x4.h:131
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Eule::Vector3::y
T y
Definition: Vector3.h:95
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Homemade math library, mainly targetted towards computer graphics
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Matrix4x4.h File Reference
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class  Eule::Vector3< T >
 Representation of a 3d vector. More...
 
class  Eule::Matrix4x4
 A matrix 4x4 class representing a 3d transformation. More...
 
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 Eule
 
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typedef Vector3< double > Eule::Vector3d
 
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Leonetienne/Eule -
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Homemade math library, mainly targetted towards computer graphics
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Matrix4x4.h
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1 #pragma once
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2 #include <cstring>
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3 #include <array>
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4 #include <ostream>
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5 
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6 namespace Eule
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7 {
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8  template <class T>
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9  class Vector3;
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10  typedef Vector3<double> Vector3d;
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11 
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36  class Matrix4x4
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37  {
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38  public:
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39  Matrix4x4();
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40  Matrix4x4(const Matrix4x4& other);
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41  Matrix4x4(Matrix4x4&& other) noexcept;
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42 
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44  std::array<std::array<double, 4>, 4> v;
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45 
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46  Matrix4x4 operator*(const Matrix4x4& other) const;
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47  void operator*=(const Matrix4x4& other);
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48 
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49  Matrix4x4 operator/(const Matrix4x4& other) const;
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50  void operator/=(const Matrix4x4& other);
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51 
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53  Matrix4x4 operator*(const double scalar) const;
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55  void operator*=(const double scalar);
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56 
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58  Matrix4x4 operator/(const double denominator) const;
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60  void operator/=(const double denominator);
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61 
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63  Matrix4x4 operator+(const Matrix4x4& other) const;
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65  void operator+=(const Matrix4x4& other);
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66 
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68  Matrix4x4 operator-(const Matrix4x4& other) const;
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70  void operator-=(const Matrix4x4& other);
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71 
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72 
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73  std::array<double, 4>& operator[](std::size_t y);
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74  const std::array<double, 4>& operator[](std::size_t y) const;
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75 
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76  void operator=(const Matrix4x4& other);
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77  void operator=(Matrix4x4&& other) noexcept;
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78 
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79  bool operator==(const Matrix4x4& other);
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80  bool operator!=(const Matrix4x4& other);
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81 
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83  const Vector3d GetTranslationComponent() const;
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85  void SetTranslationComponent(const Vector3d& trans);
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86 
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88  Matrix4x4 DropTranslationComponents() const;
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89 
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91  Matrix4x4 Transpose3x3() const;
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92 
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94  Matrix4x4 Transpose4x4() const;
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95 
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97  Matrix4x4 Multiply4x4(const Matrix4x4& o) const;
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98 
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100  Matrix4x4 GetCofactors(std::size_t p, std::size_t q, std::size_t n) const;
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101 
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103  double Determinant(std::size_t n) const;
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104 
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106  Matrix4x4 Adjoint(std::size_t n) const;
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107 
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110  Matrix4x4 Inverse3x3() const;
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111 
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113  Matrix4x4 Inverse4x4() const;
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114 
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116  bool IsInversible3x3() const;
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117 
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119  bool IsInversible4x4() const;
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120 
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122  bool Similar(const Matrix4x4& other, double epsilon = 0.00001) const;
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123 
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124  friend std::ostream& operator<<(std::ostream& os, const Matrix4x4& m);
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125  friend std::wostream& operator<<(std::wostream& os, const Matrix4x4& m);
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126 
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127  // Shorthands
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128  double& a = v[0][0];
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129  double& b = v[0][1];
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130  double& c = v[0][2];
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131  double& d = v[0][3];
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132  double& e = v[1][0];
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133  double& f = v[1][1];
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134  double& g = v[1][2];
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135  double& h = v[1][3];
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136  double& i = v[2][0];
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137  double& j = v[2][1];
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138  double& k = v[2][2];
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139  double& l = v[2][3];
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140  double& m = v[3][0];
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141  double& n = v[3][1];
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142  double& o = v[3][2];
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143  double& p = v[3][3];
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144  };
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145 }
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Eule::Matrix4x4::j
double & j
Definition: Matrix4x4.h:137
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Eule::Matrix4x4::Inverse4x4
Matrix4x4 Inverse4x4() const
Will return the full 4x4-inverse of this matrix.
Definition: Matrix4x4.cpp:577
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Eule::Matrix4x4::Adjoint
Matrix4x4 Adjoint(std::size_t n) const
Will return the adjoint of this matrix, by dimension n.
Definition: Matrix4x4.cpp:533
-
Eule::Matrix4x4::operator==
bool operator==(const Matrix4x4 &other)
Definition: Matrix4x4.cpp:397
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Eule::Matrix4x4::operator+
Matrix4x4 operator+(const Matrix4x4 &other) const
Cellwise addition.
Definition: Matrix4x4.cpp:221
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Eule::Matrix4x4::i
double & i
Definition: Matrix4x4.h:136
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Eule::Matrix4x4::operator-=
void operator-=(const Matrix4x4 &other)
Cellwise subtraction.
Definition: Matrix4x4.cpp:338
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Eule::Matrix4x4::Transpose4x4
Matrix4x4 Transpose4x4() const
Will return the 4x4 transpose of this matrix.
Definition: Matrix4x4.cpp:440
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Eule::Matrix4x4::operator!=
bool operator!=(const Matrix4x4 &other)
Definition: Matrix4x4.cpp:402
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Eule::Vector3
Representation of a 3d vector.
Definition: Matrix4x4.h:9
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Eule::Matrix4x4::operator[]
std::array< double, 4 > & operator[](std::size_t y)
Definition: Matrix4x4.cpp:375
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Eule::Matrix4x4::DropTranslationComponents
Matrix4x4 DropTranslationComponents() const
Will return this Matrix4x4 with d,h,l being set to 0.
Definition: Matrix4x4.cpp:420
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Eule::Matrix4x4::e
double & e
Definition: Matrix4x4.h:132
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Eule::Matrix4x4::f
double & f
Definition: Matrix4x4.h:133
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Eule::Matrix4x4::operator*=
void operator*=(const Matrix4x4 &other)
Definition: Matrix4x4.cpp:147
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Eule::Matrix4x4::Inverse3x3
Matrix4x4 Inverse3x3() const
Will return the 3x3-inverse of this matrix.
Definition: Matrix4x4.cpp:558
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Eule::Matrix4x4::k
double & k
Definition: Matrix4x4.h:138
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Eule::Matrix4x4::operator/
Matrix4x4 operator/(const Matrix4x4 &other) const
Definition: Matrix4x4.cpp:153
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Eule::Matrix4x4::v
std::array< std::array< double, 4 >, 4 > v
Array holding the matrices values.
Definition: Matrix4x4.h:44
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Eule::Matrix4x4::operator*
Matrix4x4 operator*(const Matrix4x4 &other) const
Definition: Matrix4x4.cpp:34
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Eule::Vector3d
Vector3< double > Vector3d
Definition: Matrix4x4.h:9
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Eule::Matrix4x4::operator=
void operator=(const Matrix4x4 &other)
Definition: Matrix4x4.cpp:385
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Eule::Matrix4x4
A matrix 4x4 class representing a 3d transformation.
Definition: Matrix4x4.h:36
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Eule::Matrix4x4::IsInversible4x4
bool IsInversible4x4() const
Will check if the entire matrix is inversible.
Definition: Matrix4x4.cpp:603
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Eule::Matrix4x4::b
double & b
Definition: Matrix4x4.h:129
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Eule::Matrix4x4::Similar
bool Similar(const Matrix4x4 &other, double epsilon=0.00001) const
Will compare if two matrices are similar to a certain epsilon value.
Definition: Matrix4x4.cpp:608
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Eule::Matrix4x4::g
double & g
Definition: Matrix4x4.h:134
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Eule::Matrix4x4::operator/=
void operator/=(const Matrix4x4 &other)
Definition: Matrix4x4.cpp:158
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Eule::Matrix4x4::operator<<
friend std::ostream & operator<<(std::ostream &os, const Matrix4x4 &m)
Definition: Matrix4x4.cpp:620
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Eule::Matrix4x4::p
double & p
Definition: Matrix4x4.h:143
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Eule::Matrix4x4::IsInversible3x3
bool IsInversible3x3() const
Will check if the 3x3-component is inversible.
Definition: Matrix4x4.cpp:598
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Eule::Matrix4x4::Transpose3x3
Matrix4x4 Transpose3x3() const
Will return the 3x3 transpose of this matrix.
Definition: Matrix4x4.cpp:429
-
Eule::Matrix4x4::l
double & l
Definition: Matrix4x4.h:139
-
Eule::Matrix4x4::operator-
Matrix4x4 operator-(const Matrix4x4 &other) const
Cellwise subtraction.
Definition: Matrix4x4.cpp:298
-
Eule::Matrix4x4::Determinant
double Determinant(std::size_t n) const
Will return the determinant, by dimension n.
Definition: Matrix4x4.cpp:511
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Eule::Matrix4x4::operator+=
void operator+=(const Matrix4x4 &other)
Cellwise addition.
Definition: Matrix4x4.cpp:261
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Eule::Matrix4x4::Matrix4x4
Matrix4x4()
Definition: Matrix4x4.cpp:12
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Eule::Matrix4x4::SetTranslationComponent
void SetTranslationComponent(const Vector3d &trans)
Will set d,h,l from a Vector3d(x,y,z)
Definition: Matrix4x4.cpp:412
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Eule::Matrix4x4::c
double & c
Definition: Matrix4x4.h:130
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Eule::Matrix4x4::Multiply4x4
Matrix4x4 Multiply4x4(const Matrix4x4 &o) const
Will return the Matrix4x4 of an actual 4x4 multiplication. operator* only does a 3x3.
Definition: Matrix4x4.cpp:451
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Eule::Matrix4x4::o
double & o
Definition: Matrix4x4.h:142
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Eule::Matrix4x4::a
double & a
Definition: Matrix4x4.h:128
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Eule::Matrix4x4::m
double & m
Definition: Matrix4x4.h:140
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Eule::Matrix4x4::GetCofactors
Matrix4x4 GetCofactors(std::size_t p, std::size_t q, std::size_t n) const
Will return the cofactors of this matrix, by dimension n.
Definition: Matrix4x4.cpp:478
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Eule::Matrix4x4::GetTranslationComponent
const Vector3d GetTranslationComponent() const
Will return d,h,l as a Vector3d(x,y,z)
Definition: Matrix4x4.cpp:407
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Eule::Matrix4x4::n
double & n
Definition: Matrix4x4.h:141
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Eule::Matrix4x4::h
double & h
Definition: Matrix4x4.h:135
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Eule
Definition: Collider.h:4
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Eule::Matrix4x4::d
double & d
Definition: Matrix4x4.h:131
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Quaternion.cpp File Reference
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std::ostream & Eule::operator<< (std::ostream &os, const Quaternion &q)
 
std::wostream & Eule::operator<< (std::wostream &os, const Quaternion &q)
 
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Leonetienne/Eule -
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Homemade math library, mainly targetted towards computer graphics
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Quaternion.cpp
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1 #include "Quaternion.h"
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2 #include "Constants.h"
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3 
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4 //#define _EULE_NO_INTRINSICS_
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5 #ifndef _EULE_NO_INTRINSICS_
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6 #include <immintrin.h>
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7 #endif
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8 
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9 using namespace Eule;
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10 
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11 Quaternion::Quaternion()
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12 {
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13  v = Vector4d(0, 0, 0, 1);
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14  return;
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15 }
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16 
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17 Quaternion::Quaternion(const Vector4d values)
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18 {
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19  v = values;
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20  return;
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21 }
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22 
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23 Quaternion::Quaternion(const Quaternion& q)
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24 {
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25  v = q.v;
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26  return;
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27 }
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28 
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29 Quaternion::Quaternion(const Vector3d eulerAngles)
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30 {
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31  Vector3d eulerRad = eulerAngles * Deg2Rad;
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32 
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33  #ifndef _EULE_NO_INTRINSICS_
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34 
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35  // Calculate sine and cos values
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36  __m256d __vec = _mm256_set_pd(0, eulerRad.z, eulerRad.y, eulerRad.x);
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37  __vec = _mm256_mul_pd(__vec, _mm256_set1_pd(0.5));
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38  __m256d __cos;
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39  __m256d __sin = _mm256_sincos_pd(&__cos, __vec);
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40 
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41  // Create multiplication vectors
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42  double sin[4];
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43  double cos[4];
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44 
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45  _mm256_storeu_pd(sin, __sin);
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46  _mm256_storeu_pd(cos, __cos);
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47 
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48  __m256d __a = _mm256_set_pd(cos[0], cos[0], sin[0], cos[0]);
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49  __m256d __b = _mm256_set_pd(cos[1], sin[1], cos[1], cos[1]);
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50  __m256d __c = _mm256_set_pd(sin[2], cos[2], cos[2], cos[2]);
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51 
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52  __m256d __d = _mm256_set_pd(sin[0], sin[0], cos[0], sin[0]);
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53  __m256d __e = _mm256_set_pd(sin[1], cos[1], sin[1], sin[1]);
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54  __m256d __f = _mm256_set_pd(cos[2], sin[2], sin[2], sin[2]);
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55 
-
56  // Multiply them
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57  __m256d __abc;
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58  __abc = _mm256_mul_pd(__a, __b);
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59  __abc = _mm256_mul_pd(__abc, __c);
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60 
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61  __m256d __def;
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62  __def = _mm256_mul_pd(__d, __e);
-
63  __def = _mm256_mul_pd(__def, __f);
-
64 
-
65  // Extract results
-
66  double abc[4];
-
67  double def[4];
-
68 
-
69  _mm256_storeu_pd(abc, __abc);
-
70  _mm256_storeu_pd(def, __def);
-
71 
-
72  // Sum them up
-
73  v.w = abc[0] + def[0];
-
74  v.x = abc[1] - def[1];
-
75  v.y = abc[2] + def[2];
-
76  v.z = abc[3] - def[3];
-
77 
-
78  #else
-
79 
-
80  const double cy = cos(eulerRad.z * 0.5);
-
81  const double sy = sin(eulerRad.z * 0.5);
-
82  const double cp = cos(eulerRad.y * 0.5);
-
83  const double sp = sin(eulerRad.y * 0.5);
-
84  const double cr = cos(eulerRad.x * 0.5);
-
85  const double sr = sin(eulerRad.x * 0.5);
-
86 
-
87  v.w = cr * cp * cy + sr * sp * sy;
-
88  v.x = sr * cp * cy - cr * sp * sy;
-
89  v.y = cr * sp * cy + sr * cp * sy;
-
90  v.z = cr * cp * sy - sr * sp * cy;
-
91 
-
92  #endif
-
93 
-
94  return;
-
95 }
-
96 
-
97 Quaternion::~Quaternion()
-
98 {
-
99  return;
-
100 }
-
101 
-
102 Quaternion Quaternion::operator= (const Quaternion& q)
-
103 {
-
104  InvalidateCache();
-
105 
-
106  v = q.v;
-
107 
-
108  return (*this);
-
109 }
-
110 
-
111 Quaternion Quaternion::operator* (const Quaternion& q) const
-
112 {
-
113  return Quaternion(Vector4d(
-
114  v.w * q.v.x + v.x * q.v.w + v.y * q.v.z - v.z * q.v.y,
-
115  v.w * q.v.y + v.y * q.v.w + v.z * q.v.x - v.x * q.v.z,
-
116  v.w * q.v.z + v.z * q.v.w + v.x * q.v.y - v.y * q.v.x,
-
117  v.w * q.v.w - v.x * q.v.x - v.y * q.v.y - v.z * q.v.z
-
118  ));
-
119 }
-
120 
-
121 Quaternion Quaternion::operator*(const double scale) const
-
122 {
-
123  return Quaternion(v * scale);
-
124 }
-
125 
-
126 Quaternion Quaternion::operator/ (Quaternion& q) const
-
127 {
-
128  return ((*this) * (q.Inverse()));
-
129 }
-
130 
-
131 Quaternion& Quaternion::operator*= (const Quaternion& q)
-
132 {
-
133  InvalidateCache();
-
134 
-
135  Vector4d bufr = v;
-
136  v.x = bufr.w * q.v.x + bufr.x * q.v.w + bufr.y * q.v.z - bufr.z * q.v.y; // x
-
137  v.y = bufr.w * q.v.y + bufr.y * q.v.w + bufr.z * q.v.x - bufr.x * q.v.z; // y
-
138  v.z = bufr.w * q.v.z + bufr.z * q.v.w + bufr.x * q.v.y - bufr.y * q.v.x; // z
-
139  v.w = bufr.w * q.v.w - bufr.x * q.v.x - bufr.y * q.v.y - bufr.z * q.v.z; // w
-
140 
-
141  return (*this);
-
142 }
-
143 
-
144 Quaternion& Quaternion::operator*=(const double scale)
-
145 {
-
146  InvalidateCache();
-
147 
-
148  v *= scale;
-
149  return (*this);
-
150 }
-
151 
-
152 Quaternion& Quaternion::operator/= (const Quaternion& q)
-
153 {
-
154  InvalidateCache();
-
155 
-
156  (*this) = (*this) * q.Inverse();
-
157  return (*this);
-
158 }
-
159 
-
160 Vector3d Quaternion::operator*(const Vector3d& p) const
-
161 {
-
162  return RotateVector(p);
-
163 }
-
164 
-
165 bool Quaternion::operator== (const Quaternion& q) const
-
166 {
-
167  return (v.Similar(q.v)) || (v.Similar(q.v * -1));
-
168 }
-
169 
-
170 bool Quaternion::operator!= (const Quaternion& q) const
-
171 {
-
172  return (!v.Similar(q.v)) && (!v.Similar(q.v * -1));
-
173 }
-
174 
-
175 Quaternion Quaternion::Inverse() const
-
176 {
-
177  if (!isCacheUpToDate_inverse)
-
178  {
-
179  cache_inverse = (Conjugate() * (1.0 / v.SqrMagnitude())).v;
-
180 
-
181  isCacheUpToDate_inverse = true;
-
182  }
-
183 
-
184  return Quaternion(cache_inverse);
-
185 }
-
186 
-
187 Quaternion Quaternion::Conjugate() const
-
188 {
-
189  return Quaternion(Vector4d(-v.x, -v.y, -v.z, v.w));
-
190 }
-
191 
-
192 Quaternion Quaternion::UnitQuaternion() const
-
193 {
-
194  return (*this) * (1.0 / v.Magnitude());
-
195 }
-
196 
-
197 Vector3d Quaternion::RotateVector(const Vector3d& vec) const
-
198 {
-
199  Quaternion pure(Vector4d(vec.x, vec.y, vec.z, 0));
-
200 
-
201  //Quaternion f = Conjugate() * pure * (*this);
-
202  //Quaternion f = Inverse().Conjugate() * pure * (this->Inverse());
-
203 
-
204 
-
205  Quaternion f = Inverse() * pure * (*this);
-
206 
-
207  Vector3d toRet;
-
208  toRet.x = f.v.x;
-
209  toRet.y = f.v.y;
-
210  toRet.z = f.v.z;
-
211 
-
212  return toRet;
-
213 }
-
214 
-
215 Vector3d Quaternion::ToEulerAngles() const
-
216 {
-
217  if (!isCacheUpToDate_euler)
-
218  {
-
219  Vector3d euler;
-
220  // roll (x-axis rotation)
-
221  double sinr_cosp = 2.0 * (v.w * v.x + v.y * v.z);
-
222  double cosr_cosp = 1.0 - 2.0 * (v.x * v.x + v.y * v.y);
-
223  euler.x = std::atan2(sinr_cosp, cosr_cosp);
-
224 
-
225  // pitch (y-axis rotation)
-
226  double sinp = 2.0 * (v.w * v.y - v.z * v.x);
-
227  if (std::abs(sinp) >= 1)
-
228  euler.y = std::copysign(PI / 2, sinp); // use 90 degrees if out of range
-
229  else
-
230  euler.y = std::asin(sinp);
-
231 
-
232  // yaw (z-axis rotation)
-
233  double siny_cosp = 2.0 * (v.w * v.z + v.x * v.y);
-
234  double cosy_cosp = 1.0 - 2.0 * (v.y * v.y + v.z * v.z);
-
235  euler.z = std::atan2(siny_cosp, cosy_cosp);
-
236 
-
237  euler *= Rad2Deg;
-
238 
-
239  cache_euler = euler;
-
240  isCacheUpToDate_matrix = true;
-
241  }
-
242 
-
243  return cache_euler;
-
244 }
-
245 
-
246 Matrix4x4 Quaternion::ToRotationMatrix() const
-
247 {
-
248  if (!isCacheUpToDate_matrix)
-
249  {
-
250  Matrix4x4 m;
-
251 
-
252  const double sqx = v.x * v.x;
-
253  const double sqy = v.y * v.y;
-
254  const double sqz = v.z * v.z;
-
255  const double sqw = v.w * v.w;
-
256  const double x = v.x;
-
257  const double y = v.y;
-
258  const double z = v.z;
-
259  const double w = v.w;
-
260 
-
261  // invs (inverse square length) is only required if quaternion is not already normalised
-
262  double invs = 1.0 / (sqx + sqy + sqz + sqw);
-
263 
-
264  // since sqw + sqx + sqy + sqz =1/invs*invs
-
265 
-
266  // yaw (y)
-
267  m.c = ((2 * x * z) - (2 * w * y)) * invs;
-
268  m.f = (1 - (2 * sqx) - (2 * sqz)) * invs;
-
269  m.i = ((2 * x * z) + (2 * w * y)) * invs;
-
270 
-
271  // pitch (x)
-
272  m.a = (1 - (2 * sqy) - (2 * sqz)) * invs;
-
273  m.g = ((2 * y * z) + (2 * w * x)) * invs;
-
274  m.j = ((2 * y * z) - (2 * w * x)) * invs;
-
275 
-
276  // roll (z)
-
277  m.b = ((2 * x * v.y) + (2 * w * z)) * invs;
-
278  m.e = ((2 * x * v.y) - (2 * w * z)) * invs;
-
279  m.k = (1 - (2 * sqx) - (2 * sqy)) * invs;
-
280 
-
281  m.p = 1;
-
282 
-
283  cache_matrix = m;
-
284  isCacheUpToDate_matrix = true;
-
285  }
-
286 
-
287  return cache_matrix;
-
288 }
-
289 
-
290 Vector4d Quaternion::GetRawValues() const
-
291 {
-
292  return v;
-
293 }
-
294 
-
295 Quaternion Quaternion::AngleBetween(const Quaternion& other) const
-
296 {
-
297  return other * Conjugate();
-
298 }
-
299 
-
300 void Quaternion::SetRawValues(const Vector4d values)
-
301 {
-
302  InvalidateCache();
-
303 
-
304  v = values;
-
305 
-
306  return;
-
307 }
-
308 
-
309 Quaternion Quaternion::Lerp(const Quaternion& other, double t) const
-
310 {
-
311  return Quaternion(v.Lerp(other.v, t)).UnitQuaternion();
-
312 }
-
313 
-
314 void Quaternion::InvalidateCache()
-
315 {
-
316  isCacheUpToDate_euler = false;
-
317  isCacheUpToDate_matrix = false;
-
318  isCacheUpToDate_inverse = false;
-
319 
-
320  return;
-
321 }
-
322 
-
323 namespace Eule
-
324 {
-
325  std::ostream& operator<< (std::ostream& os, const Quaternion& q)
-
326  {
-
327  os << "[" << q.v << "]";
-
328  return os;
-
329  }
-
330 
-
331  std::wostream& operator<<(std::wostream& os, const Quaternion& q)
-
332  {
-
333  os << L"[" << q.v << L"]";
-
334  return os;
-
335  }
-
336 }
-
-
Eule::Quaternion::operator/
Quaternion operator/(Quaternion &q) const
Divides (applies)
Definition: Quaternion.cpp:126
-
Eule::Matrix4x4::j
double & j
Definition: Matrix4x4.h:137
-
Eule::Quaternion::ToRotationMatrix
Matrix4x4 ToRotationMatrix() const
Will return a rotation matrix representing this Quaternions rotation.
Definition: Quaternion.cpp:246
-
Eule::Quaternion::GetRawValues
Vector4d GetRawValues() const
Will return the raw four-dimensional values.
Definition: Quaternion.cpp:290
-
PI
static constexpr double PI
Pi up to 50 decimal places.
Definition: Constants.h:6
-
Eule::Matrix4x4::i
double & i
Definition: Matrix4x4.h:136
-
Eule::Quaternion::AngleBetween
Quaternion AngleBetween(const Quaternion &other) const
Will return the value between two Quaternion's as another Quaternion.
Definition: Quaternion.cpp:295
-
Eule::Vector3< double >
-
Eule::Quaternion::Lerp
Quaternion Lerp(const Quaternion &other, double t) const
Will return the lerp result between two quaternions.
Definition: Quaternion.cpp:309
-
Eule::Vector4::x
T x
Definition: Vector4.h:88
-
Eule::Quaternion::UnitQuaternion
Quaternion UnitQuaternion() const
Definition: Quaternion.cpp:192
-
Eule::Matrix4x4::e
double & e
Definition: Matrix4x4.h:132
-
Eule::Vector4::z
T z
Definition: Vector4.h:90
-
Eule::Vector4d
Vector4< double > Vector4d
Definition: Vector4.h:107
-
Constants.h
-
Eule::Matrix4x4::f
double & f
Definition: Matrix4x4.h:133
-
Eule::Quaternion::ToEulerAngles
Vector3d ToEulerAngles() const
Will return euler angles representing this Quaternion's rotation.
Definition: Quaternion.cpp:215
-
Deg2Rad
static constexpr double Deg2Rad
Factor to convert degrees to radians.
Definition: Constants.h:12
-
Eule::Matrix4x4::k
double & k
Definition: Matrix4x4.h:138
-
Eule::Vector4::Lerp
Vector4< double > Lerp(const Vector4< T > &other, double t) const
Will return a lerp result between this and another vector.
Definition: Vector4.cpp:287
-
Eule::Quaternion::operator=
Quaternion operator=(const Quaternion &q)
Copies.
Definition: Quaternion.cpp:102
-
Eule::Vector4::w
T w
Definition: Vector4.h:91
-
Eule::Vector3::z
T z
Definition: Vector3.h:96
-
Eule::Quaternion::~Quaternion
~Quaternion()
Definition: Quaternion.cpp:97
-
Eule::Quaternion::operator*
Quaternion operator*(const Quaternion &q) const
Multiplies (applies)
Definition: Quaternion.cpp:111
-
Eule::Matrix4x4
A matrix 4x4 class representing a 3d transformation.
Definition: Matrix4x4.h:36
-
Quaternion.h
-
Eule::Quaternion::operator*=
Quaternion & operator*=(const Quaternion &q)
Also multiplies.
Definition: Quaternion.cpp:131
-
Eule::Vector4::Similar
bool Similar(const Vector4< T > &other, double epsilon=0.00001) const
Will compare if two vectors are similar to a certain epsilon value.
Definition: Vector4.cpp:162
-
Eule::Matrix4x4::b
double & b
Definition: Matrix4x4.h:129
-
Eule::Quaternion::SetRawValues
void SetRawValues(const Vector4d values)
Will set the raw four-dimensional values.
Definition: Quaternion.cpp:300
-
Eule::Vector4::Magnitude
double Magnitude() const
Will compute the magnitude.
Definition: Vector4.cpp:38
-
Eule::Matrix4x4::g
double & g
Definition: Matrix4x4.h:134
-
Eule::Vector3::x
T x
Definition: Vector3.h:94
-
Eule::Matrix4x4::p
double & p
Definition: Matrix4x4.h:143
-
Eule::Quaternion::RotateVector
Vector3d RotateVector(const Vector3d &vec) const
Will rotate a vector by this quaternion.
Definition: Quaternion.cpp:197
-
Eule::Vector4::SqrMagnitude
double SqrMagnitude() const
Will compute the square magnitude.
Definition: Vector4.cpp:31
-
Eule::Quaternion::Quaternion
Quaternion()
Definition: Quaternion.cpp:11
-
Eule::operator<<
std::ostream & operator<<(std::ostream &os, const Matrix4x4 &m)
Definition: Matrix4x4.cpp:620
-
Rad2Deg
static constexpr double Rad2Deg
Factor to convert radians to degrees.
Definition: Constants.h:15
-
Eule::Quaternion::Conjugate
Quaternion Conjugate() const
Definition: Quaternion.cpp:187
-
Eule::Quaternion::Inverse
Quaternion Inverse() const
Definition: Quaternion.cpp:175
-
Eule::Quaternion::operator==
bool operator==(const Quaternion &q) const
Definition: Quaternion.cpp:165
-
Eule::Matrix4x4::c
double & c
Definition: Matrix4x4.h:130
-
Eule::Quaternion
3D rotation representation
Definition: Quaternion.h:10
-
Eule::Matrix4x4::a
double & a
Definition: Matrix4x4.h:128
-
Eule::Vector4::y
T y
Definition: Vector4.h:89
-
Eule::Quaternion::operator!=
bool operator!=(const Quaternion &q) const
Definition: Quaternion.cpp:170
-
Eule::Quaternion::operator/=
Quaternion & operator/=(const Quaternion &q)
Also divides.
Definition: Quaternion.cpp:152
-
Eule
Definition: Collider.h:4
-
Eule::Vector3::y
T y
Definition: Vector3.h:95
-
Eule::Vector4< double >
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Homemade math library, mainly targetted towards computer graphics
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Quaternion.h File Reference
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class  Eule::Quaternion
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Leonetienne/Eule -
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Homemade math library, mainly targetted towards computer graphics
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Quaternion.h
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1 #pragma once
-
2 #include "Vector3.h"
-
3 #include "Vector4.h"
-
4 #include "Matrix4x4.h"
-
5 
-
6 namespace Eule
-
7 {
-
10  class Quaternion
-
11  {
-
12  public:
-
13  Quaternion();
-
14 
-
16  explicit Quaternion(const Vector4d values);
-
17 
-
19  Quaternion(const Quaternion& q);
-
20 
-
22  Quaternion(const Vector3d eulerAngles);
-
23 
-
24  ~Quaternion();
-
25 
-
27  Quaternion operator= (const Quaternion& q);
-
28 
-
30  Quaternion operator* (const Quaternion& q) const;
-
31 
-
33  Quaternion operator/ (Quaternion& q) const;
-
34 
-
36  Quaternion& operator*= (const Quaternion& q);
-
37 
-
39  Quaternion& operator/= (const Quaternion& q);
-
40 
-
42  Vector3d operator* (const Vector3d& p) const;
-
43 
-
44  bool operator== (const Quaternion& q) const;
-
45  bool operator!= (const Quaternion& q) const;
-
46 
-
47  Quaternion Inverse() const;
-
48 
-
49  Quaternion Conjugate() const;
-
50 
-
51  Quaternion UnitQuaternion() const;
-
52 
-
54  Vector3d RotateVector(const Vector3d& vec) const;
-
55 
-
57  Vector3d ToEulerAngles() const;
-
58 
-
60  Matrix4x4 ToRotationMatrix() const;
-
61 
-
63  Vector4d GetRawValues() const;
-
64 
-
66  Quaternion AngleBetween(const Quaternion& other) const;
-
67 
-
69  void SetRawValues(const Vector4d values);
-
70 
-
72  Quaternion Lerp(const Quaternion& other, double t) const;
-
73 
-
74  friend std::ostream& operator<< (std::ostream& os, const Quaternion& q);
-
75  friend std::wostream& operator<< (std::wostream& os, const Quaternion& q);
-
76 
-
77  private:
-
79  Quaternion operator* (const double scale) const;
-
80  Quaternion& operator*= (const double scale);
-
81 
-
83  Vector4d v;
-
84 
-
86  void InvalidateCache();
-
87 
-
88  // Caches for conversions
-
89  mutable bool isCacheUpToDate_euler = false;
-
90  mutable Vector3d cache_euler;
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91 
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92  mutable bool isCacheUpToDate_matrix = false;
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93  mutable Matrix4x4 cache_matrix;
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95  mutable bool isCacheUpToDate_inverse = false;
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96  mutable Vector4d cache_inverse;
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98  };
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99 }
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Quaternion operator/(Quaternion &q) const
Divides (applies)
Definition: Quaternion.cpp:126
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Matrix4x4 ToRotationMatrix() const
Will return a rotation matrix representing this Quaternions rotation.
Definition: Quaternion.cpp:246
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Vector4d GetRawValues() const
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Definition: Quaternion.cpp:290
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Quaternion AngleBetween(const Quaternion &other) const
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Definition: Quaternion.cpp:295
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-
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Quaternion Lerp(const Quaternion &other, double t) const
Will return the lerp result between two quaternions.
Definition: Quaternion.cpp:309
-
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Quaternion UnitQuaternion() const
Definition: Quaternion.cpp:192
-
Eule::Quaternion::ToEulerAngles
Vector3d ToEulerAngles() const
Will return euler angles representing this Quaternion's rotation.
Definition: Quaternion.cpp:215
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Quaternion operator=(const Quaternion &q)
Copies.
Definition: Quaternion.cpp:102
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~Quaternion()
Definition: Quaternion.cpp:97
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Quaternion operator*(const Quaternion &q) const
Multiplies (applies)
Definition: Quaternion.cpp:111
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A matrix 4x4 class representing a 3d transformation.
Definition: Matrix4x4.h:36
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Quaternion & operator*=(const Quaternion &q)
Also multiplies.
Definition: Quaternion.cpp:131
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Eule::Quaternion::SetRawValues
void SetRawValues(const Vector4d values)
Will set the raw four-dimensional values.
Definition: Quaternion.cpp:300
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Vector4.h
-
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Vector3d RotateVector(const Vector3d &vec) const
Will rotate a vector by this quaternion.
Definition: Quaternion.cpp:197
-
Eule::Quaternion::Quaternion
Quaternion()
Definition: Quaternion.cpp:11
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Vector3.h
-
Eule::Quaternion::Conjugate
Quaternion Conjugate() const
Definition: Quaternion.cpp:187
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Eule::Quaternion::Inverse
Quaternion Inverse() const
Definition: Quaternion.cpp:175
-
Eule::Quaternion::operator==
bool operator==(const Quaternion &q) const
Definition: Quaternion.cpp:165
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Eule::Quaternion::operator<<
friend std::ostream & operator<<(std::ostream &os, const Quaternion &q)
Definition: Quaternion.cpp:325
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Eule::Quaternion
3D rotation representation
Definition: Quaternion.h:10
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bool operator!=(const Quaternion &q) const
Definition: Quaternion.cpp:170
-
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Quaternion & operator/=(const Quaternion &q)
Also divides.
Definition: Quaternion.cpp:152
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Definition: Collider.h:4
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1 #pragma once
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2 #include "../Eule/Vector2.h"
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3 
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4 namespace Eule
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5 {
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8  struct Rect
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9  {
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10  Vector2d pos;
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11  Vector2d size;
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12  };
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13 }
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Eule::Rect
Trivial data structure representing a rectangle.
Definition: Rect.h:8
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Vector2d size
Definition: Rect.h:11
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Vector2d pos
Definition: Rect.h:10
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TrapazoidalPrismCollider.cpp
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1 #include "TrapazoidalPrismCollider.h"
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2 
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3 using namespace Eule;
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4 
-
5 TrapazoidalPrismCollider::TrapazoidalPrismCollider()
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6 {
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7  return;
-
8 }
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9 
-
10 void TrapazoidalPrismCollider::operator=(const TrapazoidalPrismCollider& other)
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11 {
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12  vertices = other.vertices;
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13  faceNormals = other.faceNormals;
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14 
-
15  return;
-
16 }
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17 
-
18 void TrapazoidalPrismCollider::operator=(TrapazoidalPrismCollider&& other) noexcept
-
19 {
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20  vertices = std::move(other.vertices);
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21  faceNormals = std::move(other.faceNormals);
-
22 
-
23  return;
-
24 }
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25 
-
26 const Vector3d& TrapazoidalPrismCollider::GetVertex(std::size_t index) const
-
27 {
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28  return vertices[index];
-
29 }
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30 
-
31 void TrapazoidalPrismCollider::SetVertex(std::size_t index, const Vector3d value)
-
32 {
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33  vertices[index] = value;
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34  GenerateNormalsFromVertices();
-
35  return;
-
36 }
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37 
-
38 void TrapazoidalPrismCollider::GenerateNormalsFromVertices()
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39 {
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40  faceNormals[(std::size_t)FACE_NORMALS::LEFT] =
-
41  (vertices[BACK|LEFT|BOTTOM] - vertices[FRONT|LEFT|BOTTOM])
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42  .CrossProduct(vertices[FRONT|LEFT|TOP] - vertices[FRONT|LEFT|BOTTOM]);
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43 
-
44  faceNormals[(std::size_t)FACE_NORMALS::RIGHT] =
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45  (vertices[FRONT|RIGHT|TOP] - vertices[FRONT|RIGHT|BOTTOM])
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46  .CrossProduct(vertices[BACK|RIGHT|BOTTOM] - vertices[FRONT|RIGHT|BOTTOM]);
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47 
-
48  faceNormals[(std::size_t)FACE_NORMALS::FRONT] =
-
49  (vertices[FRONT|LEFT|TOP] - vertices[FRONT|LEFT|BOTTOM])
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50  .CrossProduct(vertices[FRONT|RIGHT|BOTTOM] - vertices[FRONT|LEFT|BOTTOM]);
-
51 
-
52  faceNormals[(std::size_t)FACE_NORMALS::BACK] =
-
53  (vertices[BACK|RIGHT|BOTTOM] - vertices[BACK|LEFT|BOTTOM])
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54  .CrossProduct(vertices[BACK|LEFT|TOP] - vertices[BACK|LEFT|BOTTOM]);
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55 
-
56  faceNormals[(std::size_t)FACE_NORMALS::TOP] =
-
57  (vertices[BACK|LEFT|TOP] - vertices[FRONT|LEFT|TOP])
-
58  .CrossProduct(vertices[FRONT|RIGHT|TOP] - vertices[FRONT|LEFT|TOP]);
-
59 
-
60  faceNormals[(std::size_t)FACE_NORMALS::BOTTOM] =
-
61  (vertices[FRONT|RIGHT|BOTTOM] - vertices[FRONT|LEFT|BOTTOM])
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62  .CrossProduct(vertices[BACK|LEFT|BOTTOM] - vertices[FRONT|LEFT|BOTTOM]);
-
63 
-
64  return;
-
65 }
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66 
-
67 double TrapazoidalPrismCollider::FaceDot(FACE_NORMALS face, const Vector3d& point) const
-
68 {
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69  // This vertex is the one being used twice to calculate the normals
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70  std::size_t coreVertexIdx;
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71  switch (face)
-
72  {
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73  case FACE_NORMALS::LEFT:
-
74  coreVertexIdx = FRONT|LEFT|BOTTOM;
-
75  break;
-
76 
-
77  case FACE_NORMALS::RIGHT:
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78  coreVertexIdx = FRONT|RIGHT|BOTTOM;
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79  break;
-
80 
-
81  case FACE_NORMALS::FRONT:
-
82  coreVertexIdx = FRONT|LEFT|BOTTOM;
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83  break;
-
84 
-
85  case FACE_NORMALS::BACK:
-
86  coreVertexIdx = BACK|LEFT|BOTTOM;
-
87  break;
-
88 
-
89  case FACE_NORMALS::TOP:
-
90  coreVertexIdx = FRONT|LEFT|TOP;
-
91  break;
-
92 
-
93  case FACE_NORMALS::BOTTOM:
-
94  coreVertexIdx = FRONT|LEFT|BOTTOM;
-
95  break;
-
96  }
-
97 
-
98  if ((std::size_t)face < 6)
-
99  return faceNormals[(std::size_t)face].DotProduct(point - vertices[coreVertexIdx]);
-
100  return 1;
-
101 }
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102 
-
103 bool TrapazoidalPrismCollider::Contains(const Vector3d& point) const
-
104 {
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105  for (std::size_t i = 0; i < 6; i++)
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106  if (FaceDot((FACE_NORMALS)i, point) < 0)
-
107  return false;
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108 
-
109  return true;
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110 }
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Eule::TrapazoidalPrismCollider::RIGHT
static constexpr std::size_t RIGHT
Definition: TrapazoidalPrismCollider.h:35
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TrapazoidalPrismCollider.h
-
Eule::TrapazoidalPrismCollider::BACK
static constexpr std::size_t BACK
Definition: TrapazoidalPrismCollider.h:32
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Eule::Vector3< double >
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Eule::TrapazoidalPrismCollider::FRONT
static constexpr std::size_t FRONT
Definition: TrapazoidalPrismCollider.h:33
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Eule::TrapazoidalPrismCollider::BOTTOM
static constexpr std::size_t BOTTOM
Definition: TrapazoidalPrismCollider.h:36
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Eule::TrapazoidalPrismCollider::operator=
void operator=(const TrapazoidalPrismCollider &other)
Definition: TrapazoidalPrismCollider.cpp:10
-
Eule::TrapazoidalPrismCollider::LEFT
static constexpr std::size_t LEFT
Definition: TrapazoidalPrismCollider.h:34
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Eule::TrapazoidalPrismCollider::SetVertex
void SetVertex(std::size_t index, const Vector3d value)
Will set the value of a specific vertex.
Definition: TrapazoidalPrismCollider.cpp:31
-
Eule::TrapazoidalPrismCollider::Contains
bool Contains(const Vector3d &point) const override
Tests, if this Collider contains a point.
Definition: TrapazoidalPrismCollider.cpp:103
-
Eule::TrapazoidalPrismCollider
A collider describing a trapazoidal prism.
Definition: TrapazoidalPrismCollider.h:13
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Eule::TrapazoidalPrismCollider::TrapazoidalPrismCollider
TrapazoidalPrismCollider()
Definition: TrapazoidalPrismCollider.cpp:5
-
Eule::TrapazoidalPrismCollider::GetVertex
const Vector3d & GetVertex(std::size_t index) const
Will return a specific vertex.
Definition: TrapazoidalPrismCollider.cpp:26
-
Eule::TrapazoidalPrismCollider::TOP
static constexpr std::size_t TOP
Definition: TrapazoidalPrismCollider.h:37
-
Eule
Definition: Collider.h:4
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class  Eule::TrapazoidalPrismCollider
 A collider describing a trapazoidal prism. More...
 
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 Eule
 
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TrapazoidalPrismCollider.h
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1 #pragma once
-
2 #include "Vector3.h"
-
3 #include "Collider.h"
-
4 #include <array>
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5 
-
6 namespace Eule
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7 {
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13  class TrapazoidalPrismCollider : public Collider
-
14  {
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15  public:
-
16  TrapazoidalPrismCollider();
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17  TrapazoidalPrismCollider(const TrapazoidalPrismCollider& other) = default;
-
18  TrapazoidalPrismCollider(TrapazoidalPrismCollider&& other) noexcept = default;
-
19  void operator=(const TrapazoidalPrismCollider& other);
-
20  void operator=(TrapazoidalPrismCollider&& other) noexcept;
-
21 
-
23  const Vector3d& GetVertex(std::size_t index) const;
-
24 
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26  void SetVertex(std::size_t index, const Vector3d value);
-
27 
-
29  bool Contains(const Vector3d& point) const override;
-
30 
-
31  /* Vertex identifiers */
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32  static constexpr std::size_t BACK = 0;
-
33  static constexpr std::size_t FRONT = 4;
-
34  static constexpr std::size_t LEFT = 0;
-
35  static constexpr std::size_t RIGHT = 2;
-
36  static constexpr std::size_t BOTTOM = 0;
-
37  static constexpr std::size_t TOP = 1;
-
38 
-
39  private:
-
40  enum class FACE_NORMALS : std::size_t;
-
41 
-
43  void GenerateNormalsFromVertices();
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44 
-
46  double FaceDot(FACE_NORMALS face, const Vector3d& point) const;
-
47 
-
48  std::array<Vector3d, 8> vertices;
-
49 
-
50 
-
51  // Face normals
-
52  enum class FACE_NORMALS : std::size_t
-
53  {
-
54  LEFT = 0,
-
55  RIGHT = 1,
-
56  FRONT = 2,
-
57  BACK = 3,
-
58  TOP = 4,
-
59  BOTTOM = 5
-
60  };
-
61  std::array<Vector3d, 6> faceNormals;
-
62  };
-
63 }
-
-
Eule::TrapazoidalPrismCollider::RIGHT
static constexpr std::size_t RIGHT
Definition: TrapazoidalPrismCollider.h:35
-
Eule::Collider
Abstract class of a collider domain.
Definition: Collider.h:10
-
Eule::TrapazoidalPrismCollider::BACK
static constexpr std::size_t BACK
Definition: TrapazoidalPrismCollider.h:32
-
Eule::Vector3< double >
-
Eule::TrapazoidalPrismCollider::FRONT
static constexpr std::size_t FRONT
Definition: TrapazoidalPrismCollider.h:33
-
Eule::TrapazoidalPrismCollider::BOTTOM
static constexpr std::size_t BOTTOM
Definition: TrapazoidalPrismCollider.h:36
-
Eule::TrapazoidalPrismCollider::operator=
void operator=(const TrapazoidalPrismCollider &other)
Definition: TrapazoidalPrismCollider.cpp:10
-
Eule::TrapazoidalPrismCollider::LEFT
static constexpr std::size_t LEFT
Definition: TrapazoidalPrismCollider.h:34
-
Eule::TrapazoidalPrismCollider::SetVertex
void SetVertex(std::size_t index, const Vector3d value)
Will set the value of a specific vertex.
Definition: TrapazoidalPrismCollider.cpp:31
-
Eule::TrapazoidalPrismCollider::Contains
bool Contains(const Vector3d &point) const override
Tests, if this Collider contains a point.
Definition: TrapazoidalPrismCollider.cpp:103
-
Vector3.h
-
Eule::TrapazoidalPrismCollider
A collider describing a trapazoidal prism.
Definition: TrapazoidalPrismCollider.h:13
-
Eule::TrapazoidalPrismCollider::TrapazoidalPrismCollider
TrapazoidalPrismCollider()
Definition: TrapazoidalPrismCollider.cpp:5
-
Eule::TrapazoidalPrismCollider::GetVertex
const Vector3d & GetVertex(std::size_t index) const
Will return a specific vertex.
Definition: TrapazoidalPrismCollider.cpp:26
-
Collider.h
-
Eule::TrapazoidalPrismCollider::TOP
static constexpr std::size_t TOP
Definition: TrapazoidalPrismCollider.h:37
-
Eule
Definition: Collider.h:4
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Vector2.cpp File Reference
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#include "Vector2.h"
-#include "Math.h"
-#include <iostream>
-#include <immintrin.h>
-#include "Vector3.h"
-#include "Vector4.h"
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Homemade math library, mainly targetted towards computer graphics
-
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-
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-
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-
Vector2.cpp
-
-
-Go to the documentation of this file.
1 #include "Vector2.h"
-
2 #include "Math.h"
-
3 #include <iostream>
-
4 
-
5 //#define _EULE_NO_INTRINSICS_
-
6 #ifndef _EULE_NO_INTRINSICS_
-
7 #include <immintrin.h>
-
8 #endif
-
9 
-
10 using namespace Eule;
-
11 
-
12 /*
-
13  NOTE:
-
14  Here you will find bad, unoptimized methods for T=int.
-
15  This is because the compiler needs a method for each type in each instantiation of the template!
-
16  I can't generalize the methods when heavily optimizing for doubles.
-
17  These functions will get called VERY rarely, if ever at all, for T=int, so it's ok.
-
18  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.
-
19 */
-
20 
-
21 // Good, optimized chad version for doubles
-
22 double Vector2<double>::DotProduct(const Vector2<double>& other) const
-
23 {
-
24  #ifndef _EULE_NO_INTRINSICS_
-
25 
-
26  // Move vector components into registers
-
27  __m256 __vector_self = _mm256_set_ps(0,0,0,0,0,0, (float)y, (float)x);
-
28  __m256 __vector_other = _mm256_set_ps(0,0,0,0,0,0, (float)other.y, (float)other.x);
-
29 
-
30  // Define bitmask, and execute computation
-
31  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
-
32  __m256 __dot = _mm256_dp_ps(__vector_self, __vector_other, mask);
-
33 
-
34  // Retrieve result, and return it
-
35  float result[8];
-
36  _mm256_storeu_ps(result, __dot);
-
37 
-
38  return result[0];
-
39 
-
40  #else
-
41  return (x * other.x) +
-
42  (y * other.y);
-
43  #endif
-
44 }
-
45 
-
46 // Slow, lame version for intcels
-
47 double Vector2<int>::DotProduct(const Vector2<int>& other) const
-
48 {
-
49  int iDot = (x * other.x) +
-
50  (y * other.y);
-
51 
-
52  return (double)iDot;
-
53 }
-
54 
-
55 
-
56 
-
57 // Good, optimized chad version for doubles
-
58 double Vector2<double>::CrossProduct(const Vector2<double>& other) const
-
59 {
-
60  return (x * other.y) -
-
61  (y * other.x);
-
62 }
-
63 
-
64 // Slow, lame version for intcels
-
65 double Vector2<int>::CrossProduct(const Vector2<int>& other) const
-
66 {
-
67  int iCross = (x * other.y) -
-
68  (y * other.x);
-
69 
-
70  return (double)iCross;
-
71 }
-
72 
-
73 
-
74 
-
75 // Good, optimized chad version for doubles
-
76 double Vector2<double>::SqrMagnitude() const
-
77 {
-
78  // x.DotProduct(x) == x.SqrMagnitude()
-
79  return DotProduct(*this);
-
80 }
-
81 
-
82 // Slow, lame version for intcels
-
83 double Vector2<int>::SqrMagnitude() const
-
84 {
-
85  int iSqrMag = x*x + y*y;
-
86  return (double)iSqrMag;
-
87 }
-
88 
-
89 template<typename T>
-
90 double Vector2<T>::Magnitude() const
-
91 {
-
92  return sqrt(SqrMagnitude());
-
93 }
-
94 
-
95 
-
96 
-
97 Vector2<double> Vector2<double>::VectorScale(const Vector2<double>& scalar) const
-
98 {
-
99  #ifndef _EULE_NO_INTRINSICS_
-
100 
-
101  // Load vectors into registers
-
102  __m256d __vector_self = _mm256_set_pd(0, 0, y, x);
-
103  __m256d __vector_scalar = _mm256_set_pd(0, 0, scalar.y, scalar.x);
-
104 
-
105  // Multiply them
-
106  __m256d __product = _mm256_mul_pd(__vector_self, __vector_scalar);
-
107 
-
108  // Retrieve result
-
109  double result[4];
-
110  _mm256_storeu_pd(result, __product);
-
111 
-
112  // Return value
-
113  return Vector2<double>(
-
114  result[0],
-
115  result[1]
-
116  );
-
117 
-
118  #else
-
119 
-
120  return Vector2<double>(
-
121  x * scalar.x,
-
122  y * scalar.y
-
123  );
-
124  #endif
-
125 }
-
126 
-
127 Vector2<int> Vector2<int>::VectorScale(const Vector2<int>& scalar) const
-
128 {
-
129  return Vector2<int>(
-
130  x * scalar.x,
-
131  y * scalar.y
-
132  );
-
133 }
-
134 
-
135 
-
136 template<typename T>
-
137 Vector2<double> Vector2<T>::Normalize() const
-
138 {
-
139  Vector2<double> norm(x, y);
-
140  norm.NormalizeSelf();
-
141 
-
142  return norm;
-
143 }
-
144 
-
145 // Method to normalize a Vector2d
-
146 void Vector2<double>::NormalizeSelf()
-
147 {
-
148  double length = Magnitude();
-
149 
-
150  // Prevent division by 0
-
151  if (length == 0)
-
152  {
-
153  x = 0;
-
154  y = 0;
-
155  }
-
156  else
-
157  {
-
158  #ifndef _EULE_NO_INTRINSICS_
-
159 
-
160  // Load vector and length into registers
-
161  __m256d __vec = _mm256_set_pd(0, 0, y, x);
-
162  __m256d __len = _mm256_set1_pd(length);
-
163 
-
164  // Divide
-
165  __m256d __prod = _mm256_div_pd(__vec, __len);
-
166 
-
167  // Extract and set values
-
168  double prod[4];
-
169  _mm256_storeu_pd(prod, __prod);
-
170 
-
171  x = prod[0];
-
172  y = prod[1];
-
173 
-
174  #else
-
175 
-
176  x /= length;
-
177  y /= length;
-
178 
-
179  #endif
-
180  }
-
181 
-
182  return;
-
183 }
-
184 
-
185 // You can't normalize an int vector, ffs!
-
186 // But we need an implementation for T=int
-
187 void Vector2<int>::NormalizeSelf()
-
188 {
-
189  std::cerr << "Stop normalizing int-vectors!!" << std::endl;
-
190  x = 0;
-
191  y = 0;
-
192 
-
193  return;
-
194 }
-
195 
-
196 
-
197 // Good, optimized chad version for doubles
-
198 void Vector2<double>::LerpSelf(const Vector2<double>& other, double t)
-
199 {
-
200  const double it = 1.0 - t; // Inverse t
-
201 
-
202  #ifndef _EULE_NO_INTRINSICS_
-
203 
-
204  // Move vector components and factors into registers
-
205  __m256d __vector_self = _mm256_set_pd(0, 0, y, x);
-
206  __m256d __vector_other = _mm256_set_pd(0, 0, other.y, other.x);
-
207  __m256d __t = _mm256_set1_pd(t);
-
208  __m256d __it = _mm256_set1_pd(it); // Inverse t
-
209 
-
210  // Procedure:
-
211  // (__vector_self * __it) + (__vector_other * __t)
-
212 
-
213  __m256d __sum = _mm256_set1_pd(0); // this will hold the sum of the two multiplications
-
214 
-
215  __sum = _mm256_fmadd_pd(__vector_self, __it, __sum);
-
216  __sum = _mm256_fmadd_pd(__vector_other, __t, __sum);
-
217 
-
218  // Retrieve result, and apply it
-
219  double sum[4];
-
220  _mm256_storeu_pd(sum, __sum);
-
221 
-
222  x = sum[0];
-
223  y = sum[1];
-
224 
-
225  #else
-
226 
-
227  x = it * x + t * other.x;
-
228  y = it * y + t * other.y;
-
229 
-
230  #endif
-
231 
-
232  return;
-
233 }
-
234 
-
235 
-
236 
-
237 // Slow, lame version for intcels
-
238 void Vector2<int>::LerpSelf(const Vector2<int>& other, double t)
-
239 {
-
240  const double it = 1.0 - t; // Inverse t
-
241 
-
242  x = (int)(it * (double)x + t * (double)other.x);
-
243  y = (int)(it * (double)y + t * (double)other.y);
-
244 
-
245  return;
-
246 }
-
247 
-
248 Vector2<double> Vector2<double>::Lerp(const Vector2<double>& other, double t) const
-
249 {
-
250  Vector2d copy(*this);
-
251  copy.LerpSelf(other, t);
-
252 
-
253  return copy;
-
254 }
-
255 
-
256 Vector2<double> Vector2<int>::Lerp(const Vector2<int>& other, double t) const
-
257 {
-
258  Vector2d copy(this->ToDouble());
-
259  copy.LerpSelf(other.ToDouble(), t);
-
260 
-
261  return copy;
-
262 }
-
263 
-
264 
-
265 
-
266 template<typename T>
-
267 T& Vector2<T>::operator[](std::size_t idx)
-
268 {
-
269  switch (idx)
-
270  {
-
271  case 0:
-
272  return x;
-
273  case 1:
-
274  return y;
-
275  default:
-
276  throw std::out_of_range("Array descriptor on Vector2<T> out of range!");
-
277  }
-
278 }
-
279 
-
280 template<typename T>
-
281 const T& Vector2<T>::operator[](std::size_t idx) const
-
282 {
-
283  switch (idx)
-
284  {
-
285  case 0:
-
286  return x;
-
287  case 1:
-
288  return y;
-
289  default:
-
290  throw std::out_of_range("Array descriptor on Vector2<T> out of range!");
-
291  }
-
292 }
-
293 
-
294 template<typename T>
-
295 bool Vector2<T>::Similar(const Vector2<T>& other, double epsilon) const
-
296 {
-
297  return
-
298  (::Math::Similar(x, other.x, epsilon)) &&
-
299  (::Math::Similar(y, other.y, epsilon))
-
300  ;
-
301 }
-
302 
-
303 template<typename T>
-
304 Vector2<int> Vector2<T>::ToInt() const
-
305 {
-
306  return Vector2<int>((int)x, (int)y);
-
307 }
-
308 
-
309 template<typename T>
-
310 Vector2<double> Vector2<T>::ToDouble() const
-
311 {
-
312  return Vector2<double>((double)x, (double)y);
-
313 }
-
314 
-
315 
-
316 Vector2<double> Vector2<double>::operator+(const Vector2<double>& other) const
-
317 {
-
318  #ifndef _EULE_NO_INTRINSICS_
-
319 
-
320  // Move vector components and factors into registers
-
321  __m256d __vector_self = _mm256_set_pd(0, 0, y, x);
-
322  __m256d __vector_other = _mm256_set_pd(0, 0, other.y, other.x);
-
323 
-
324  // Add the components
-
325  __m256d __sum = _mm256_add_pd(__vector_self, __vector_other);
-
326 
-
327  // Retrieve and return these values
-
328  double sum[4];
-
329  _mm256_storeu_pd(sum, __sum);
-
330 
-
331  return Vector2<double>(
-
332  sum[0],
-
333  sum[1]
-
334  );
-
335 
-
336  #else
-
337 
-
338  return Vector2<double>(
-
339  x + other.x,
-
340  y + other.y
-
341  );
-
342  #endif
-
343 }
-
344 
-
345 template<typename T>
-
346 Vector2<T> Vector2<T>::operator+(const Vector2<T>& other) const
-
347 {
-
348  return Vector2<T>(
-
349  x + other.x,
-
350  y + other.y
-
351  );
-
352 }
-
353 
-
354 
-
355 
-
356 void Vector2<double>::operator+=(const Vector2<double>& other)
-
357 {
-
358  #ifndef _EULE_NO_INTRINSICS_
-
359 
-
360  // Move vector components and factors into registers
-
361  __m256d __vector_self = _mm256_set_pd(0, 0, y, x);
-
362  __m256d __vector_other = _mm256_set_pd(0, 0, other.y, other.x);
-
363 
-
364  // Add the components
-
365  __m256d __sum = _mm256_add_pd(__vector_self, __vector_other);
-
366 
-
367  // Retrieve and apply these values
-
368  double sum[4];
-
369  _mm256_storeu_pd(sum, __sum);
-
370 
-
371  x = sum[0];
-
372  y = sum[1];
-
373 
-
374  #else
-
375 
-
376  x += other.x;
-
377  y += other.y;
-
378 
-
379  #endif
-
380 
-
381  return;
-
382 }
-
383 
-
384 template<typename T>
-
385 void Vector2<T>::operator+=(const Vector2<T>& other)
-
386 {
-
387  x += other.x;
-
388  y += other.y;
-
389  return;
-
390 }
-
391 
-
392 
-
393 
-
394 Vector2<double> Vector2<double>::operator-(const Vector2<double>& other) const
-
395 {
-
396  #ifndef _EULE_NO_INTRINSICS_
-
397 
-
398  // Move vector components and factors into registers
-
399  __m256d __vector_self = _mm256_set_pd(0, 0, y, x);
-
400  __m256d __vector_other = _mm256_set_pd(0, 0, other.y, other.x);
-
401 
-
402  // Subtract the components
-
403  __m256d __diff = _mm256_sub_pd(__vector_self, __vector_other);
-
404 
-
405  // Retrieve and return these values
-
406  double diff[4];
-
407  _mm256_storeu_pd(diff, __diff);
-
408 
-
409  return Vector2<double>(
-
410  diff[0],
-
411  diff[1]
-
412  );
-
413 
-
414  #else
-
415 
-
416  return Vector2<double>(
-
417  x - other.x,
-
418  y - other.y
-
419  );
-
420  #endif
-
421 }
-
422 
-
423 template<typename T>
-
424 Vector2<T> Vector2<T>::operator-(const Vector2<T>& other) const
-
425 {
-
426  return Vector2<T>(
-
427  x - other.x,
-
428  y - other.y
-
429  );
-
430 }
-
431 
-
432 
-
433 
-
434 void Vector2<double>::operator-=(const Vector2<double>& other)
-
435 {
-
436  #ifndef _EULE_NO_INTRINSICS_
-
437 
-
438  // Move vector components and factors into registers
-
439  __m256d __vector_self = _mm256_set_pd(0, 0, y, x);
-
440  __m256d __vector_other = _mm256_set_pd(0, 0, other.y, other.x);
-
441 
-
442  // Subtract the components
-
443  __m256d __diff = _mm256_sub_pd(__vector_self, __vector_other);
-
444 
-
445  // Retrieve and apply these values
-
446  double diff[4];
-
447  _mm256_storeu_pd(diff, __diff);
-
448 
-
449  x = diff[0];
-
450  y = diff[1];
-
451 
-
452  #else
-
453 
-
454  x -= other.x;
-
455  y -= other.y;
-
456 
-
457  #endif
-
458 
-
459  return;
-
460 }
-
461 
-
462 template<typename T>
-
463 void Vector2<T>::operator-=(const Vector2<T>& other)
-
464 {
-
465  x -= other.x;
-
466  y -= other.y;
-
467  return;
-
468 }
-
469 
-
470 
-
471 
-
472 Vector2<double> Vector2<double>::operator*(const double scale) const
-
473 {
-
474  #ifndef _EULE_NO_INTRINSICS_
-
475 
-
476  // Move vector components and factors into registers
-
477  __m256d __vector_self = _mm256_set_pd(0, 0, y, x);
-
478  __m256d __scalar = _mm256_set1_pd(scale);
-
479 
-
480  // Multiply the components
-
481  __m256d __prod = _mm256_mul_pd(__vector_self, __scalar);
-
482 
-
483  // Retrieve and return these values
-
484  double prod[4];
-
485  _mm256_storeu_pd(prod, __prod);
-
486 
-
487  return Vector2<double>(
-
488  prod[0],
-
489  prod[1]
-
490  );
-
491 
-
492  #else
-
493 
-
494  return Vector2<double>(
-
495  x * scale,
-
496  y * scale
-
497  );
-
498 
-
499  #endif
-
500 }
-
501 
-
502 template<typename T>
-
503 Vector2<T> Vector2<T>::operator*(const T scale) const
-
504 {
-
505  return Vector2<T>(
-
506  x * scale,
-
507  y * scale
-
508  );
-
509 }
-
510 
-
511 
-
512 
-
513 void Vector2<double>::operator*=(const double scale)
-
514 {
-
515  #ifndef _EULE_NO_INTRINSICS_
-
516 
-
517  // Move vector components and factors into registers
-
518  __m256d __vector_self = _mm256_set_pd(0, 0, y, x);
-
519  __m256d __scalar = _mm256_set1_pd(scale);
-
520 
-
521  // Multiply the components
-
522  __m256d __prod = _mm256_mul_pd(__vector_self, __scalar);
-
523 
-
524  // Retrieve and apply these values
-
525  double prod[4];
-
526  _mm256_storeu_pd(prod, __prod);
-
527 
-
528  x = prod[0];
-
529  y = prod[1];
-
530 
-
531  #else
-
532 
-
533  x *= scale;
-
534  y *= scale;
-
535 
-
536  #endif
-
537 
-
538  return;
-
539 }
-
540 
-
541 template<typename T>
-
542 void Vector2<T>::operator*=(const T scale)
-
543 {
-
544  x *= scale;
-
545  y *= scale;
-
546  return;
-
547 }
-
548 
-
549 
-
550 
-
551 Vector2<double> Vector2<double>::operator/(const double scale) const
-
552 {
-
553  #ifndef _EULE_NO_INTRINSICS_
-
554 
-
555  // Move vector components and factors into registers
-
556  __m256d __vector_self = _mm256_set_pd(0, 0, y, x);
-
557  __m256d __scalar = _mm256_set1_pd(scale);
-
558 
-
559  // Divide the components
-
560  __m256d __prod = _mm256_div_pd(__vector_self, __scalar);
-
561 
-
562  // Retrieve and return these values
-
563  double prod[4];
-
564  _mm256_storeu_pd(prod, __prod);
-
565 
-
566  return Vector2<double>(
-
567  prod[0],
-
568  prod[1]
-
569  );
-
570 
-
571  #else
-
572 
-
573  return Vector2<double>(
-
574  x / scale,
-
575  y / scale
-
576  );
-
577 
-
578  #endif
-
579 }
-
580 
-
581 template<typename T>
-
582 Vector2<T> Vector2<T>::operator/(const T scale) const
-
583 {
-
584  return Vector2<T>(
-
585  x / scale,
-
586  y / scale
-
587  );
-
588 }
-
589 
-
590 
-
591 
-
592 void Vector2<double>::operator/=(const double scale)
-
593 {
-
594  #ifndef _EULE_NO_INTRINSICS_
-
595 
-
596  // Move vector components and factors into registers
-
597  __m256d __vector_self = _mm256_set_pd(0, 0, y, x);
-
598  __m256d __scalar = _mm256_set1_pd(scale);
-
599 
-
600  // Divide the components
-
601  __m256d __prod = _mm256_div_pd(__vector_self, __scalar);
-
602 
-
603  // Retrieve and apply these values
-
604  double prod[4];
-
605  _mm256_storeu_pd(prod, __prod);
-
606 
-
607  x = prod[0];
-
608  y = prod[1];
-
609 
-
610  #else
-
611 
-
612  x /= scale;
-
613  y /= scale;
-
614 
-
615  #endif
-
616  return;
-
617 }
-
618 
-
619 template<typename T>
-
620 void Vector2<T>::operator/=(const T scale)
-
621 {
-
622  x /= scale;
-
623  y /= scale;
-
624  return;
-
625 }
-
626 
-
627 
-
628 
-
629 template<typename T>
-
630 void Vector2<T>::operator=(const Vector2<T>& other)
-
631 {
-
632  x = other.x;
-
633  y = other.y;
-
634 
-
635  return;
-
636 }
-
637 
-
638 template<typename T>
-
639 void Vector2<T>::operator=(Vector2<T>&& other) noexcept
-
640 {
-
641  x = std::move(other.x);
-
642  y = std::move(other.y);
-
643 
-
644  return;
-
645 }
-
646 
-
647 template<typename T>
-
648 bool Vector2<T>::operator==(const Vector2<T>& other) const
-
649 {
-
650  return
-
651  (x == other.x) &&
-
652  (y == other.y);
-
653 }
-
654 
-
655 template<typename T>
-
656 bool Vector2<T>::operator!=(const Vector2<T>& other) const
-
657 {
-
658  return !operator==(other);
-
659 }
-
660 
-
661 template<typename T>
-
662 Vector2<T> Vector2<T>::operator-() const
-
663 {
-
664  return Vector2<T>(
-
665  -x,
-
666  -y
-
667  );
-
668 }
-
669 
-
670 // Don't want these includes above the other stuff
-
671 #include "Vector3.h"
-
672 #include "Vector4.h"
-
673 template<typename T>
-
674 Vector2<T>::operator Vector3<T>() const
-
675 {
-
676  return Vector3<T>(x, y, 0);
-
677 }
-
678 
-
679 template<typename T>
-
680 Vector2<T>::operator Vector4<T>() const
-
681 {
-
682  return Vector4<T>(x, y, 0, 0);
-
683 }
-
684 
-
685 template class Vector2<int>;
-
686 template class Vector2<double>;
-
687 
-
688 // Some handy predefines
-
689 template <typename T>
-
690 const Vector2<double> Vector2<T>::up(0, 1);
-
691 template <typename T>
-
692 const Vector2<double> Vector2<T>::down(0, -1);
-
693 template <typename T>
-
694 const Vector2<double> Vector2<T>::right(1, 0);
-
695 template <typename T>
-
696 const Vector2<double> Vector2<T>::left(-1, 0);
-
697 template <typename T>
-
698 const Vector2<double> Vector2<T>::one(1, 1);
-
699 template <typename T>
-
700 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
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Vector2.h File Reference
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-Classes

class  Eule::Vector3< T >
 Representation of a 3d vector. More...
 
class  Eule::Vector4< T >
 Representation of a 4d vector. More...
 
class  Eule::Vector2< T >
 Representation of a 2d vector. More...
 
- - - -

-Namespaces

 Eule
 
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-Typedefs

typedef Vector2< int > Eule::Vector2i
 
typedef Vector2< double > Eule::Vector2d
 
-
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- - diff --git a/Doxygen/build/Vector2_8h__dep__incl.map b/Doxygen/build/Vector2_8h__dep__incl.map deleted file mode 100644 index b7acf5c..0000000 --- a/Doxygen/build/Vector2_8h__dep__incl.map +++ /dev/null @@ -1,7 +0,0 @@ - - - - - - - diff --git a/Doxygen/build/Vector2_8h__dep__incl.md5 b/Doxygen/build/Vector2_8h__dep__incl.md5 deleted file mode 100644 index 00b2a8b..0000000 --- a/Doxygen/build/Vector2_8h__dep__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -51ead09597156a62231b4f13138c94a8 \ No newline at end of file diff --git a/Doxygen/build/Vector2_8h__dep__incl.png b/Doxygen/build/Vector2_8h__dep__incl.png deleted file mode 100644 index e20c662..0000000 Binary files a/Doxygen/build/Vector2_8h__dep__incl.png and /dev/null differ diff --git a/Doxygen/build/Vector2_8h__incl.map b/Doxygen/build/Vector2_8h__incl.map deleted file mode 100644 index fc3c55e..0000000 --- a/Doxygen/build/Vector2_8h__incl.map +++ /dev/null @@ -1,5 +0,0 @@ - - - - - diff --git a/Doxygen/build/Vector2_8h__incl.md5 b/Doxygen/build/Vector2_8h__incl.md5 deleted file mode 100644 index 43ba1de..0000000 --- a/Doxygen/build/Vector2_8h__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -16a3daa708990df0b2edd4c5f8400b48 \ No newline at end of file diff --git a/Doxygen/build/Vector2_8h__incl.png b/Doxygen/build/Vector2_8h__incl.png deleted file mode 100644 index a9c69d4..0000000 Binary files a/Doxygen/build/Vector2_8h__incl.png and /dev/null differ diff --git a/Doxygen/build/Vector2_8h_source.html b/Doxygen/build/Vector2_8h_source.html deleted file mode 100644 index 1569dea..0000000 --- a/Doxygen/build/Vector2_8h_source.html +++ /dev/null @@ -1,216 +0,0 @@ - - - - - - - -Leonetienne/Eule: Eule/Vector2.h Source File - - - - - - - - - - - -
-
- - - - - - -
-
Leonetienne/Eule -
-
Homemade math library, mainly targetted towards computer graphics
-
-
- - - - - - - - -
-
- - -
- -
- - -
-
-
-
Vector2.h
-
-
-Go to the documentation of this file.
1 #pragma once
-
2 #include <cstdlib>
-
3 #include <sstream>
-
4 
-
5 namespace Eule
-
6 {
-
7  template <typename T> class Vector3;
-
8  template <typename T> class Vector4;
-
9 
-
13  template <typename T>
-
14  class Vector2
-
15  {
-
16  public:
-
17  Vector2() : x{ 0 }, y{ 0 } {}
-
18  Vector2(T _x, T _y) : x{ _x }, y{ _y } {}
-
19  Vector2(const Vector2<T>& other) = default;
-
20  Vector2(Vector2<T>&& other) noexcept = default;
-
21 
-
23  double DotProduct(const Vector2<T>& other) const;
-
24 
-
26  double CrossProduct(const Vector2<T>& other) const;
-
27 
-
29  double SqrMagnitude() const;
-
30 
-
32  double Magnitude() const;
-
33 
-
35  [[nodiscard]] Vector2<double> Normalize() const;
-
36 
-
38  void NormalizeSelf();
-
39 
-
41  Vector2<T> VectorScale(const Vector2<T>& scalar) const;
-
42 
-
44  void LerpSelf(const Vector2<T>& other, double t);
-
45 
-
47  [[nodiscard]] Vector2<double> Lerp(const Vector2<T>& other, double t) const;
-
48 
-
50  [[nodiscard]] bool Similar(const Vector2<T>& other, double epsilon = 0.00001) const;
-
51 
-
53  [[nodiscard]] Vector2<int> ToInt() const;
-
54 
-
56  [[nodiscard]] Vector2<double> ToDouble() const;
-
57 
-
58  T& operator[](std::size_t idx);
-
59  const T& operator[](std::size_t idx) const;
-
60 
-
61  Vector2<T> operator+(const Vector2<T>& other) const;
-
62  void operator+=(const Vector2<T>& other);
-
63  Vector2<T> operator-(const Vector2<T>& other) const;
-
64  void operator-=(const Vector2<T>& other);
-
65  Vector2<T> operator*(const T scale) const;
-
66  void operator*=(const T scale);
-
67  Vector2<T> operator/(const T scale) const;
-
68  void operator/=(const T scale);
-
69  Vector2<T> operator-() const;
-
70 
-
71  operator Vector3<T>() const;
-
72  operator Vector4<T>() const;
-
73 
-
74  void operator=(const Vector2<T>& other);
-
75  void operator=(Vector2<T>&& other) noexcept;
-
76 
-
77  bool operator==(const Vector2<T>& other) const;
-
78  bool operator!=(const Vector2<T>& other) const;
-
79 
-
80  friend std::ostream& operator<< (std::ostream& os, const Vector2<T>& v)
-
81  {
-
82  return os << "[x: " << v.x << " y: " << v.y << "]";
-
83  }
-
84  friend std::wostream& operator<< (std::wostream& os, const Vector2<T>& v)
-
85  {
-
86  return os << L"[x: " << v.x << L" y: " << v.y << L"]";
-
87  }
-
88 
-
89  T x;
-
90  T y;
-
91 
-
92  // Some handy predefines
-
93  static const Vector2<double> up;
-
94  static const Vector2<double> down;
-
95  static const Vector2<double> right;
-
96  static const Vector2<double> left;
-
97  static const Vector2<double> one;
-
98  static const Vector2<double> zero;
-
99  };
-
100 
-
101  typedef Vector2<int> Vector2i;
-
102  typedef Vector2<double> Vector2d;
-
103 }
-
-
Eule::Vector2::Normalize
Vector2< double > Normalize() const
Will return the normalization of this vector.
Definition: Vector2.cpp:137
-
Eule::Vector2::operator!=
bool operator!=(const Vector2< T > &other) const
Definition: Vector2.cpp:656
-
Eule::Vector2::Vector2
Vector2()
Definition: Vector2.h:17
-
Eule::Vector2::operator+
Vector2< T > operator+(const Vector2< T > &other) const
Definition: Vector2.cpp:346
-
Eule::Vector2::operator+=
void operator+=(const Vector2< T > &other)
Definition: Vector2.cpp:385
-
Eule::Vector2::DotProduct
double DotProduct(const Vector2< T > &other) const
Will compute the dot product to another Vector2.
Definition: Vector2.cpp:47
-
Eule::Vector2::left
static const Vector2< double > left
Definition: Vector2.h:96
-
Eule::Vector2::up
static const Vector2< double > up
Definition: Vector2.h:93
-
Eule::Vector2::Magnitude
double Magnitude() const
Will compute the magnitude.
Definition: Vector2.cpp:90
-
Eule::Vector2::operator*=
void operator*=(const T scale)
Definition: Vector2.cpp:542
-
Eule::Vector2::operator/
Vector2< T > operator/(const T scale) const
Definition: Vector2.cpp:582
-
Eule::Vector2::zero
static const Vector2< double > zero
Definition: Vector2.h:98
-
Eule::Vector2::VectorScale
Vector2< T > VectorScale(const Vector2< T > &scalar) const
Will scale self.n by scalar.n.
Definition: Vector2.cpp:127
-
Eule::Vector2::ToInt
Vector2< int > ToInt() const
Will convert this vector to a Vector2i.
Definition: Vector2.cpp:304
-
Eule::Vector2::Vector2
Vector2(T _x, T _y)
Definition: Vector2.h:18
-
Eule::Vector2::operator[]
T & operator[](std::size_t idx)
Definition: Vector2.cpp:267
-
Eule::Vector2::one
static const Vector2< double > one
Definition: Vector2.h:97
-
Eule::Vector2::operator*
Vector2< T > operator*(const T scale) const
Definition: Vector2.cpp:503
-
Eule::Vector2::operator/=
void operator/=(const T scale)
Definition: Vector2.cpp:620
-
Eule::Vector2::SqrMagnitude
double SqrMagnitude() const
Will compute the square magnitude.
Definition: Vector2.cpp:83
-
Eule::Vector2::Lerp
Vector2< double > Lerp(const Vector2< T > &other, double t) const
Will return a lerp result between this and another vector.
Definition: Vector2.cpp:256
-
Eule::Vector2::CrossProduct
double CrossProduct(const Vector2< T > &other) const
Will compute the cross product to another Vector2.
Definition: Vector2.cpp:65
-
Eule::Vector2::ToDouble
Vector2< double > ToDouble() const
Will convert this vector to a Vector2d.
Definition: Vector2.cpp:310
-
Eule::Vector2::NormalizeSelf
void NormalizeSelf()
Will normalize this vector.
Definition: Vector2.cpp:187
-
Eule::Vector2::operator-
Vector2< T > operator-() const
Definition: Vector2.cpp:662
-
Eule::Vector2::operator<<
friend std::ostream & operator<<(std::ostream &os, const Vector2< T > &v)
Definition: Vector2.h:80
-
Eule::Vector2
Representation of a 2d vector.
Definition: Vector2.h:14
-
Eule::Vector2d
Vector2< double > Vector2d
Definition: Vector2.h:102
-
Eule::Vector2::operator=
void operator=(const Vector2< T > &other)
Conversion method.
Definition: Vector2.cpp:630
-
Eule::Vector2::x
T x
Definition: Vector2.h:89
-
Eule::Vector2::y
T y
Definition: Vector2.h:90
-
Eule::Vector2::Similar
bool Similar(const Vector2< T > &other, double epsilon=0.00001) const
Will compare if two vectors are similar to a certain epsilon value.
Definition: Vector2.cpp:295
-
Eule::Vector2::right
static const Vector2< double > right
Definition: Vector2.h:95
-
Eule::Vector2::operator-=
void operator-=(const Vector2< T > &other)
Definition: Vector2.cpp:463
-
Eule::Vector2::down
static const Vector2< double > down
Definition: Vector2.h:94
-
Eule::Vector2::operator==
bool operator==(const Vector2< T > &other) const
Definition: Vector2.cpp:648
-
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
-
Eule::Vector2i
Vector2< int > Vector2i
Definition: Vector2.h:101
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Homemade math library, mainly targetted towards computer graphics
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-
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Vector3.cpp File Reference
-
-
-
#include "Vector3.h"
-#include "Math.h"
-#include <iostream>
-#include <immintrin.h>
-#include "Vector2.h"
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-
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Leonetienne/Eule -
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Homemade math library, mainly targetted towards computer graphics
-
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-
- - -
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Vector3.cpp
-
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-Go to the documentation of this file.
1 #include "Vector3.h"
-
2 #include "Math.h"
-
3 #include <iostream>
-
4 
-
5 //#define _EULE_NO_INTRINSICS_
-
6 #ifndef _EULE_NO_INTRINSICS_
-
7 #include <immintrin.h>
-
8 #endif
-
9 
-
10 using namespace Eule;
-
11 
-
12 /*
-
13  NOTE:
-
14  Here you will find bad, unoptimized methods for T=int.
-
15  This is because the compiler needs a method for each type in each instantiation of the template!
-
16  I can't generalize the methods when heavily optimizing for doubles.
-
17  These functions will get called VERY rarely, if ever at all, for T=int, so it's ok.
-
18  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.
-
19 */
-
20 
-
21 // Good, optimized chad version for doubles
-
22 double Vector3<double>::DotProduct(const Vector3<double>& other) const
-
23 {
-
24  #ifndef _EULE_NO_INTRINSICS_
-
25 
-
26  // Move vector components into registers
-
27  __m256 __vector_self = _mm256_set_ps(0,0,0,0,0, (float)z, (float)y, (float)x);
-
28  __m256 __vector_other = _mm256_set_ps(0,0,0,0,0, (float)other.z, (float)other.y, (float)other.x);
-
29 
-
30  // Define bitmask, and execute computation
-
31  const int mask = 0x71; // -> 0111 1000 -> use positions 0111 (last 3) of the vectors supplied, and place them in 1000 (first only) element of __dot
-
32  __m256 __dot = _mm256_dp_ps(__vector_self, __vector_other, mask);
-
33 
-
34  // Retrieve result, and return it
-
35  float result[8];
-
36  _mm256_storeu_ps(result, __dot);
-
37 
-
38  return result[0];
-
39 
-
40  #else
-
41  return (x * other.x) +
-
42  (y * other.y) +
-
43  (z * other.z);
-
44  #endif
-
45 }
-
46 
-
47 // Slow, lame version for intcels
-
48 double Vector3<int>::DotProduct(const Vector3<int>& other) const
-
49 {
-
50  int iDot = (x * other.x) + (y * other.y) + (z * other.z);
-
51  return (double)iDot;
-
52 }
-
53 
-
54 
-
55 
-
56 // Good, optimized chad version for doubles
-
57 Vector3<double> Vector3<double>::CrossProduct(const Vector3<double>& other) const
-
58 {
-
59  Vector3<double> cp;
-
60  cp.x = (y * other.z) - (z * other.y);
-
61  cp.y = (z * other.x) - (x * other.z);
-
62  cp.z = (x * other.y) - (y * other.x);
-
63 
-
64  return cp;
-
65 }
-
66 
-
67 // Slow, lame version for intcels
-
68 Vector3<double> Vector3<int>::CrossProduct(const Vector3<int>& other) const
-
69 {
-
70  Vector3<double> cp;
-
71  cp.x = ((double)y * (double)other.z) - ((double)z * (double)other.y);
-
72  cp.y = ((double)z * (double)other.x) - ((double)x * (double)other.z);
-
73  cp.z = ((double)x * (double)other.y) - ((double)y * (double)other.x);
-
74 
-
75  return cp;
-
76 }
-
77 
-
78 
-
79 
-
80 // Good, optimized chad version for doubles
-
81 double Vector3<double>::SqrMagnitude() const
-
82 {
-
83  // x.DotProduct(x) == x.SqrMagnitude()
-
84  return DotProduct(*this);
-
85 }
-
86 
-
87 // Slow, lame version for intcels
-
88 double Vector3<int>::SqrMagnitude() const
-
89 {
-
90  int iSqrMag = x*x + y*y + z*z;
-
91  return (double)iSqrMag;
-
92 }
-
93 
-
94 template <typename T>
-
95 double Vector3<T>::Magnitude() const
-
96 {
-
97  return sqrt(SqrMagnitude());
-
98 }
-
99 
-
100 
-
101 
-
102 Vector3<double> Vector3<double>::VectorScale(const Vector3<double>& scalar) const
-
103 {
-
104  #ifndef _EULE_NO_INTRINSICS_
-
105 
-
106  // Load vectors into registers
-
107  __m256d __vector_self = _mm256_set_pd(0, z, y, x);
-
108  __m256d __vector_scalar = _mm256_set_pd(0, scalar.z, scalar.y, scalar.x);
-
109 
-
110  // Multiply them
-
111  __m256d __product = _mm256_mul_pd(__vector_self, __vector_scalar);
-
112 
-
113  // Retrieve result
-
114  double result[4];
-
115  _mm256_storeu_pd(result, __product);
-
116 
-
117  // Return value
-
118  return Vector3<double>(
-
119  result[0],
-
120  result[1],
-
121  result[2]
-
122  );
-
123 
-
124  #else
-
125 
-
126  return Vector3<double>(
-
127  x * scalar.x,
-
128  y * scalar.y,
-
129  z * scalar.z
-
130  );
-
131 
-
132  #endif
-
133 }
-
134 
-
135 Vector3<int> Vector3<int>::VectorScale(const Vector3<int>& scalar) const
-
136 {
-
137  return Vector3<int>(
-
138  x * scalar.x,
-
139  y * scalar.y,
-
140  z * scalar.z
-
141  );
-
142 }
-
143 
-
144 
-
145 
-
146 template<typename T>
-
147 Vector3<double> Vector3<T>::Normalize() const
-
148 {
-
149  Vector3<double> norm(x, y, z);
-
150  norm.NormalizeSelf();
-
151 
-
152  return norm;
-
153 }
-
154 
-
155 // Method to normalize a Vector3d
-
156 void Vector3<double>::NormalizeSelf()
-
157 {
-
158  const double length = Magnitude();
-
159 
-
160  // Prevent division by 0
-
161  if (length == 0)
-
162  {
-
163  x = 0;
-
164  y = 0;
-
165  z = 0;
-
166  }
-
167  else
-
168  {
-
169  #ifndef _EULE_NO_INTRINSICS_
-
170 
-
171  // Load vector and length into registers
-
172  __m256d __vec = _mm256_set_pd(0, z, y, x);
-
173  __m256d __len = _mm256_set1_pd(length);
-
174 
-
175  // Divide
-
176  __m256d __prod = _mm256_div_pd(__vec, __len);
-
177 
-
178  // Extract and set values
-
179  double prod[4];
-
180  _mm256_storeu_pd(prod, __prod);
-
181 
-
182  x = prod[0];
-
183  y = prod[1];
-
184  z = prod[2];
-
185 
-
186  #else
-
187 
-
188  x /= length;
-
189  y /= length;
-
190  z /= length;
-
191 
-
192  #endif
-
193  }
-
194 
-
195  return;
-
196 }
-
197 
-
198 // You can't normalize an int vector, ffs!
-
199 // But we need an implementation for T=int
-
200 void Vector3<int>::NormalizeSelf()
-
201 {
-
202  std::cerr << "Stop normalizing int-vectors!!" << std::endl;
-
203  x = 0;
-
204  y = 0;
-
205  z = 0;
-
206 
-
207  return;
-
208 }
-
209 
-
210 
-
211 
-
212 template<typename T>
-
213 bool Vector3<T>::Similar(const Vector3<T>& other, double epsilon) const
-
214 {
-
215  return
-
216  (::Math::Similar(x, other.x, epsilon)) &&
-
217  (::Math::Similar(y, other.y, epsilon)) &&
-
218  (::Math::Similar(z, other.z, epsilon))
-
219  ;
-
220 }
-
221 
-
222 template<typename T>
-
223 Vector3<int> Vector3<T>::ToInt() const
-
224 {
-
225  return Vector3<int>((int)x, (int)y, (int)z);
-
226 }
-
227 
-
228 template<typename T>
-
229 Vector3<double> Vector3<T>::ToDouble() const
-
230 {
-
231  return Vector3<double>((double)x, (double)y, (double)z);
-
232 }
-
233 
-
234 template<typename T>
-
235 T& Vector3<T>::operator[](std::size_t idx)
-
236 {
-
237  switch (idx)
-
238  {
-
239  case 0:
-
240  return x;
-
241  case 1:
-
242  return y;
-
243  case 2:
-
244  return z;
-
245  default:
-
246  throw std::out_of_range("Array descriptor on Vector3<T> out of range!");
-
247  }
-
248 }
-
249 
-
250 template<typename T>
-
251 const T& Vector3<T>::operator[](std::size_t idx) const
-
252 {
-
253  switch (idx)
-
254  {
-
255  case 0:
-
256  return x;
-
257  case 1:
-
258  return y;
-
259  case 2:
-
260  return z;
-
261  default:
-
262  throw std::out_of_range("Array descriptor on Vector3<T> out of range!");
-
263  }
-
264 }
-
265 
-
266 
-
267 
-
268 // Good, optimized chad version for doubles
-
269 void Vector3<double>::LerpSelf(const Vector3<double>& other, double t)
-
270 {
-
271  const double it = 1.0 - t; // Inverse t
-
272 
-
273  #ifndef _EULE_NO_INTRINSICS_
-
274 
-
275  // Move vector components and factors into registers
-
276  __m256d __vector_self = _mm256_set_pd(0, z, y, x);
-
277  __m256d __vector_other = _mm256_set_pd(0, other.z, other.y, other.x);
-
278  __m256d __t = _mm256_set1_pd(t);
-
279  __m256d __it = _mm256_set1_pd(it); // Inverse t
-
280 
-
281  // Procedure:
-
282  // (__vector_self * __it) + (__vector_other * __t)
-
283 
-
284  __m256d __sum = _mm256_set1_pd(0); // this will hold the sum of the two multiplications
-
285 
-
286  __sum = _mm256_fmadd_pd(__vector_self, __it, __sum);
-
287  __sum = _mm256_fmadd_pd(__vector_other, __t, __sum);
-
288 
-
289  // Retrieve result, and apply it
-
290  double sum[4];
-
291  _mm256_storeu_pd(sum, __sum);
-
292 
-
293  x = sum[0];
-
294  y = sum[1];
-
295  z = sum[2];
-
296 
-
297  #else
-
298 
-
299  x = it*x + t*other.x;
-
300  y = it*y + t*other.y;
-
301  z = it*z + t*other.z;
-
302 
-
303  #endif
-
304 
-
305  return;
-
306 }
-
307 
-
308 
-
309 
-
310 // Slow, lame version for intcels
-
311 void Vector3<int>::LerpSelf(const Vector3<int>& other, double t)
-
312 {
-
313  const double it = 1.0 - t; // Inverse t
-
314 
-
315  x = (int)(it * (double)x + t * (double)other.x);
-
316  y = (int)(it * (double)y + t * (double)other.y);
-
317  z = (int)(it * (double)z + t * (double)other.z);
-
318 
-
319  return;
-
320 }
-
321 
-
322 Vector3<double> Vector3<double>::Lerp(const Vector3<double>& other, double t) const
-
323 {
-
324  Vector3d copy(*this);
-
325  copy.LerpSelf(other, t);
-
326 
-
327  return copy;
-
328 }
-
329 
-
330 Vector3<double> Vector3<int>::Lerp(const Vector3<int>& other, double t) const
-
331 {
-
332  Vector3d copy(this->ToDouble());
-
333  copy.LerpSelf(other.ToDouble(), t);
-
334 
-
335  return copy;
-
336 }
-
337 
-
338 
-
339 
-
340 Vector3<double> Vector3<double>::operator+(const Vector3<double>& other) const
-
341 {
-
342  #ifndef _EULE_NO_INTRINSICS_
-
343 
-
344  // Move vector components and factors into registers
-
345  __m256d __vector_self = _mm256_set_pd(0, z, y, x);
-
346  __m256d __vector_other = _mm256_set_pd(0, other.z, other.y, other.x);
-
347 
-
348  // Add the components
-
349  __m256d __sum = _mm256_add_pd(__vector_self, __vector_other);
-
350 
-
351  // Retrieve and return these values
-
352  double sum[4];
-
353  _mm256_storeu_pd(sum, __sum);
-
354 
-
355  return Vector3<double>(
-
356  sum[0],
-
357  sum[1],
-
358  sum[2]
-
359  );
-
360 
-
361  #else
-
362 
-
363  return Vector3<double>(
-
364  x + other.x,
-
365  y + other.y,
-
366  z + other.z
-
367  );
-
368  #endif
-
369 }
-
370 
-
371 template<typename T>
-
372 Vector3<T> Vector3<T>::operator+(const Vector3<T>& other) const
-
373 {
-
374  return Vector3<T>(
-
375  x + other.x,
-
376  y + other.y,
-
377  z + other.z
-
378  );
-
379 }
-
380 
-
381 
-
382 
-
383 void Vector3<double>::operator+=(const Vector3<double>& other)
-
384 {
-
385  #ifndef _EULE_NO_INTRINSICS_
-
386 
-
387  // Move vector components and factors into registers
-
388  __m256d __vector_self = _mm256_set_pd(0, z, y, x);
-
389  __m256d __vector_other = _mm256_set_pd(0, other.z, other.y, other.x);
-
390 
-
391  // Add the components
-
392  __m256d __sum = _mm256_add_pd(__vector_self, __vector_other);
-
393 
-
394  // Retrieve and apply these values
-
395  double sum[4];
-
396  _mm256_storeu_pd(sum, __sum);
-
397 
-
398  x = sum[0];
-
399  y = sum[1];
-
400  z = sum[2];
-
401 
-
402  #else
-
403 
-
404  x += other.x;
-
405  y += other.y;
-
406  z += other.z;
-
407 
-
408  #endif
-
409 
-
410  return;
-
411 }
-
412 
-
413 template<typename T>
-
414 void Vector3<T>::operator+=(const Vector3<T>& other)
-
415 {
-
416  x += other.x;
-
417  y += other.y;
-
418  z += other.z;
-
419  return;
-
420 }
-
421 
-
422 
-
423 
-
424 Vector3<double> Vector3<double>::operator-(const Vector3<double>& other) const
-
425 {
-
426  #ifndef _EULE_NO_INTRINSICS_
-
427 
-
428  // Move vector components and factors into registers
-
429  __m256d __vector_self = _mm256_set_pd(0, z, y, x);
-
430  __m256d __vector_other = _mm256_set_pd(0, other.z, other.y, other.x);
-
431 
-
432  // Subtract the components
-
433  __m256d __diff = _mm256_sub_pd(__vector_self, __vector_other);
-
434 
-
435  // Retrieve and return these values
-
436  double diff[4];
-
437  _mm256_storeu_pd(diff, __diff);
-
438 
-
439  return Vector3<double>(
-
440  diff[0],
-
441  diff[1],
-
442  diff[2]
-
443  );
-
444 
-
445  #else
-
446 
-
447  return Vector3<double>(
-
448  x - other.x,
-
449  y - other.y,
-
450  z - other.z
-
451  );
-
452  #endif
-
453 }
-
454 
-
455 template<typename T>
-
456 Vector3<T> Vector3<T>::operator-(const Vector3<T>& other) const
-
457 {
-
458  return Vector3<T>(
-
459  x - other.x,
-
460  y - other.y,
-
461  z - other.z
-
462  );
-
463 }
-
464 
-
465 
-
466 
-
467 void Vector3<double>::operator-=(const Vector3<double>& other)
-
468 {
-
469  #ifndef _EULE_NO_INTRINSICS_
-
470 
-
471  // Move vector components and factors into registers
-
472  __m256d __vector_self = _mm256_set_pd(0, z, y, x);
-
473  __m256d __vector_other = _mm256_set_pd(0, other.z, other.y, other.x);
-
474 
-
475  // Subtract the components
-
476  __m256d __diff = _mm256_sub_pd(__vector_self, __vector_other);
-
477 
-
478  // Retrieve and apply these values
-
479  double diff[4];
-
480  _mm256_storeu_pd(diff, __diff);
-
481 
-
482  x = diff[0];
-
483  y = diff[1];
-
484  z = diff[2];
-
485 
-
486  #else
-
487 
-
488  x -= other.x;
-
489  y -= other.y;
-
490  z -= other.z;
-
491 
-
492  #endif
-
493 
-
494  return;
-
495 }
-
496 
-
497 template<typename T>
-
498 void Vector3<T>::operator-=(const Vector3<T>& other)
-
499 {
-
500  x -= other.x;
-
501  y -= other.y;
-
502  z -= other.z;
-
503  return;
-
504 }
-
505 
-
506 
-
507 
-
508 Vector3<double> Vector3<double>::operator*(const double scale) const
-
509 {
-
510  #ifndef _EULE_NO_INTRINSICS_
-
511 
-
512  // Move vector components and factors into registers
-
513  __m256d __vector_self = _mm256_set_pd(0, z, y, x);
-
514  __m256d __scalar = _mm256_set1_pd(scale);
-
515 
-
516  // Multiply the components
-
517  __m256d __prod = _mm256_mul_pd(__vector_self, __scalar);
-
518 
-
519  // Retrieve and return these values
-
520  double prod[4];
-
521  _mm256_storeu_pd(prod, __prod);
-
522 
-
523  return Vector3<double>(
-
524  prod[0],
-
525  prod[1],
-
526  prod[2]
-
527  );
-
528 
-
529  #else
-
530 
-
531  return Vector3<double>(
-
532  x * scale,
-
533  y * scale,
-
534  z * scale
-
535  );
-
536 
-
537  #endif
-
538 }
-
539 
-
540 template<typename T>
-
541 Vector3<T> Vector3<T>::operator*(const T scale) const
-
542 {
-
543  return Vector3<T>(
-
544  x * scale,
-
545  y * scale,
-
546  z * scale
-
547  );
-
548 }
-
549 
-
550 
-
551 
-
552 void Vector3<double>::operator*=(const double scale)
-
553 {
-
554  #ifndef _EULE_NO_INTRINSICS_
-
555 
-
556  // Move vector components and factors into registers
-
557  __m256d __vector_self = _mm256_set_pd(0, z, y, x);
-
558  __m256d __scalar = _mm256_set1_pd(scale);
-
559 
-
560  // Multiply the components
-
561  __m256d __prod = _mm256_mul_pd(__vector_self, __scalar);
-
562 
-
563  // Retrieve and apply these values
-
564  double prod[4];
-
565  _mm256_storeu_pd(prod, __prod);
-
566 
-
567  x = prod[0];
-
568  y = prod[1];
-
569  z = prod[2];
-
570 
-
571  #else
-
572 
-
573  x *= scale;
-
574  y *= scale;
-
575  z *= scale;
-
576 
-
577  #endif
-
578 
-
579  return;
-
580 }
-
581 
-
582 template<typename T>
-
583 void Vector3<T>::operator*=(const T scale)
-
584 {
-
585  x *= scale;
-
586  y *= scale;
-
587  z *= scale;
-
588  return;
-
589 }
-
590 
-
591 
-
592 
-
593 Vector3<double> Vector3<double>::operator/(const double scale) const
-
594 {
-
595  #ifndef _EULE_NO_INTRINSICS_
-
596 
-
597  // Move vector components and factors into registers
-
598  __m256d __vector_self = _mm256_set_pd(0, z, y, x);
-
599  __m256d __scalar = _mm256_set1_pd(scale);
-
600 
-
601  // Divide the components
-
602  __m256d __prod = _mm256_div_pd(__vector_self, __scalar);
-
603 
-
604  // Retrieve and return these values
-
605  double prod[4];
-
606  _mm256_storeu_pd(prod, __prod);
-
607 
-
608  return Vector3<double>(
-
609  prod[0],
-
610  prod[1],
-
611  prod[2]
-
612  );
-
613 
-
614  #else
-
615 
-
616  return Vector3<double>(
-
617  x / scale,
-
618  y / scale,
-
619  z / scale
-
620  );
-
621 
-
622  #endif
-
623 }
-
624 
-
625 template<typename T>
-
626 Vector3<T> Vector3<T>::operator/(const T scale) const
-
627 {
-
628  return Vector3<T>(
-
629  x / scale,
-
630  y / scale,
-
631  z / scale
-
632  );
-
633 }
-
634 
-
635 
-
636 
-
637 void Vector3<double>::operator/=(const double scale)
-
638 {
-
639  #ifndef _EULE_NO_INTRINSICS_
-
640 
-
641  // Move vector components and factors into registers
-
642  __m256d __vector_self = _mm256_set_pd(0, z, y, x);
-
643  __m256d __scalar = _mm256_set1_pd(scale);
-
644 
-
645  // Divide the components
-
646  __m256d __prod = _mm256_div_pd(__vector_self, __scalar);
-
647 
-
648  // Retrieve and apply these values
-
649  double prod[4];
-
650  _mm256_storeu_pd(prod, __prod);
-
651 
-
652  x = prod[0];
-
653  y = prod[1];
-
654  z = prod[2];
-
655 
-
656  #else
-
657 
-
658  x /= scale;
-
659  y /= scale;
-
660  z /= scale;
-
661 
-
662  #endif
-
663  return;
-
664 }
-
665 
-
666 template<typename T>
-
667 void Vector3<T>::operator/=(const T scale)
-
668 {
-
669  x /= scale;
-
670  y /= scale;
-
671  z /= scale;
-
672  return;
-
673 }
-
674 
-
675 
-
676 
-
677 // Good, optimized chad version for doubles
-
678 Vector3<double> Vector3<double>::operator*(const Matrix4x4& mat) const
-
679 {
-
680  Vector3<double> newVec;
-
681 
-
682  #ifndef _EULE_NO_INTRINSICS_
-
683  // Store x, y, and z values
-
684  __m256d __vecx = _mm256_set1_pd(x);
-
685  __m256d __vecy = _mm256_set1_pd(y);
-
686  __m256d __vecz = _mm256_set1_pd(z);
-
687 
-
688  // Store matrix values
-
689  __m256d __mat_row0 = _mm256_set_pd(mat[0][0], mat[1][0], mat[2][0], 0);
-
690  __m256d __mat_row1 = _mm256_set_pd(mat[0][1], mat[1][1], mat[2][1], 0);
-
691  __m256d __mat_row2 = _mm256_set_pd(mat[0][2], mat[1][2], mat[2][2], 0);
-
692 
-
693  // Multiply x, y, z and matrix values
-
694  __m256d __mul_vecx_row0 = _mm256_mul_pd(__vecx, __mat_row0);
-
695  __m256d __mul_vecy_row1 = _mm256_mul_pd(__vecy, __mat_row1);
-
696  __m256d __mul_vecz_row2 = _mm256_mul_pd(__vecz, __mat_row2);
-
697 
-
698  // Sum up the products
-
699  __m256d __sum = _mm256_add_pd(__mul_vecx_row0, _mm256_add_pd(__mul_vecy_row1, __mul_vecz_row2));
-
700 
-
701  // Store translation values
-
702  __m256d __translation = _mm256_set_pd(mat[0][3], mat[1][3], mat[2][3], 0);
-
703 
-
704  // Add the translation values
-
705  __m256d __final = _mm256_add_pd(__sum, __translation);
-
706 
-
707  double dfinal[4];
-
708 
-
709  _mm256_storeu_pd(dfinal, __final);
-
710 
-
711  newVec.x = dfinal[3];
-
712  newVec.y = dfinal[2];
-
713  newVec.z = dfinal[1];
-
714 
-
715  #else
-
716  // Rotation, Scaling
-
717  newVec.x = (mat[0][0] * x) + (mat[1][0] * y) + (mat[2][0] * z);
-
718  newVec.y = (mat[0][1] * x) + (mat[1][1] * y) + (mat[2][1] * z);
-
719  newVec.z = (mat[0][2] * x) + (mat[1][2] * y) + (mat[2][2] * z);
-
720 
-
721  // Translation
-
722  newVec.x += mat[0][3];
-
723  newVec.y += mat[1][3];
-
724  newVec.z += mat[2][3];
-
725  #endif
-
726 
-
727  return newVec;
-
728 }
-
729 
-
730 // Slow, lame version for intcels
-
731 Vector3<int> Vector3<int>::operator*(const Matrix4x4& mat) const
-
732 {
-
733  Vector3<double> newVec;
-
734 
-
735  // Rotation, Scaling
-
736  newVec.x = ((mat[0][0] * x) + (mat[1][0] * y) + (mat[2][0] * z));
-
737  newVec.y = ((mat[0][1] * x) + (mat[1][1] * y) + (mat[2][1] * z));
-
738  newVec.z = ((mat[0][2] * x) + (mat[1][2] * y) + (mat[2][2] * z));
-
739 
-
740  // Translation
-
741  newVec.x += mat[0][3];
-
742  newVec.y += mat[1][3];
-
743  newVec.z += mat[2][3];
-
744 
-
745  return Vector3<int>(
-
746  (int)newVec.x,
-
747  (int)newVec.y,
-
748  (int)newVec.z
-
749  );
-
750 }
-
751 
-
752 
-
753 
-
754 // Good, optimized chad version for doubles
-
755 void Vector3<double>::operator*=(const Matrix4x4& mat)
-
756 {
-
757  #ifndef _EULE_NO_INTRINSICS_
-
758  // Store x, y, and z values
-
759  __m256d __vecx = _mm256_set1_pd(x);
-
760  __m256d __vecy = _mm256_set1_pd(y);
-
761  __m256d __vecz = _mm256_set1_pd(z);
-
762 
-
763  // Store matrix values
-
764  __m256d __mat_row0 = _mm256_set_pd(mat[0][0], mat[1][0], mat[2][0], 0);
-
765  __m256d __mat_row1 = _mm256_set_pd(mat[0][1], mat[1][1], mat[2][1], 0);
-
766  __m256d __mat_row2 = _mm256_set_pd(mat[0][2], mat[1][2], mat[2][2], 0);
-
767 
-
768  // Multiply x, y, z and matrix values
-
769  __m256d __mul_vecx_row0 = _mm256_mul_pd(__vecx, __mat_row0);
-
770  __m256d __mul_vecy_row1 = _mm256_mul_pd(__vecy, __mat_row1);
-
771  __m256d __mul_vecz_row2 = _mm256_mul_pd(__vecz, __mat_row2);
-
772 
-
773  // Sum up the products
-
774  __m256d __sum = _mm256_add_pd(__mul_vecx_row0, _mm256_add_pd(__mul_vecy_row1, __mul_vecz_row2));
-
775 
-
776  // Store translation values
-
777  __m256d __translation = _mm256_set_pd(mat[0][3], mat[1][3], mat[2][3], 0);
-
778 
-
779  // Add the translation values
-
780  __m256d __final = _mm256_add_pd(__sum, __translation);
-
781 
-
782  double dfinal[4];
-
783 
-
784  _mm256_storeu_pd(dfinal, __final);
-
785 
-
786  x = dfinal[3];
-
787  y = dfinal[2];
-
788  z = dfinal[1];
-
789 
-
790  #else
-
791  Vector3<double> buffer = *this;
-
792  x = (mat[0][0] * buffer.x) + (mat[0][1] * buffer.y) + (mat[0][2] * buffer.z);
-
793  y = (mat[1][0] * buffer.x) + (mat[1][1] * buffer.y) + (mat[1][2] * buffer.z);
-
794  z = (mat[2][0] * buffer.x) + (mat[2][1] * buffer.y) + (mat[2][2] * buffer.z);
-
795 
-
796  // Translation
-
797  x += mat[0][3];
-
798  y += mat[1][3];
-
799  z += mat[2][3];
-
800  #endif
-
801 
-
802  return;
-
803 }
-
804 
-
805 template<typename T>
-
806 Vector3<T> Vector3<T>::operator-() const
-
807 {
-
808  return Vector3<T>(
-
809  -x,
-
810  -y,
-
811  -z
-
812  );
-
813 }
-
814 
-
815 template<typename T>
-
816 void Vector3<T>::operator=(const Vector3<T>& other)
-
817 {
-
818  x = other.x;
-
819  y = other.y;
-
820  z = other.z;
-
821 
-
822  return;
-
823 }
-
824 
-
825 template<typename T>
-
826 void Vector3<T>::operator=(Vector3<T>&& other) noexcept
-
827 {
-
828  x = std::move(other.x);
-
829  y = std::move(other.y);
-
830  z = std::move(other.z);
-
831 
-
832  return;
-
833 }
-
834 
-
835 // Slow, lame version for intcels
-
836 void Vector3<int>::operator*=(const Matrix4x4& mat)
-
837 {
-
838  Vector3<double> buffer(x, y, z);
-
839 
-
840  x = (int)((mat[0][0] * buffer.x) + (mat[0][1] * buffer.y) + (mat[0][2] * buffer.z));
-
841  y = (int)((mat[1][0] * buffer.x) + (mat[1][1] * buffer.y) + (mat[1][2] * buffer.z));
-
842  z = (int)((mat[2][0] * buffer.x) + (mat[2][1] * buffer.y) + (mat[2][2] * buffer.z));
-
843 
-
844  // Translation
-
845  x += (int)mat[0][3];
-
846  y += (int)mat[1][3];
-
847  z += (int)mat[2][3];
-
848 
-
849  return;
-
850 }
-
851 
-
852 
-
853 
-
854 template<typename T>
-
855 bool Vector3<T>::operator==(const Vector3<T>& other) const
-
856 {
-
857  return
-
858  (x == other.x) &&
-
859  (y == other.y) &&
-
860  (z == other.z);
-
861 }
-
862 
-
863 template<typename T>
-
864 bool Vector3<T>::operator!=(const Vector3<T>& other) const
-
865 {
-
866  return !operator==(other);
-
867 }
-
868 
-
869 
-
870 #include "Vector2.h"
-
871 #include "Vector4.h"
-
872 template<typename T>
-
873 Vector3<T>::operator Vector2<T>() const
-
874 {
-
875  return Vector2<T>(x, y);
-
876 }
-
877 
-
878 template<typename T>
-
879 Vector3<T>::operator Vector4<T>() const
-
880 {
-
881  return Vector4<T>(x, y, z, 0);
-
882 }
-
883 
-
884 template class Vector3<int>;
-
885 template class Vector3<double>;
-
886 
-
887 // Some handy predefines
-
888 template <typename T>
-
889 const Vector3<double> Vector3<T>::up(0, 1, 0);
-
890 template <typename T>
-
891 const Vector3<double> Vector3<T>::down(0, -1, 0);
-
892 template <typename T>
-
893 const Vector3<double> Vector3<T>::right(1, 0, 0);
-
894 template <typename T>
-
895 const Vector3<double> Vector3<T>::left(-1, 0, 0);
-
896 template <typename T>
-
897 const Vector3<double> Vector3<T>::forward(0, 0, 1);
-
898 template <typename T>
-
899 const Vector3<double> Vector3<T>::backward(0, 0, -1);
-
900 template <typename T>
-
901 const Vector3<double> Vector3<T>::one(1, 1, 1);
-
902 template <typename T>
-
903 const Vector3<double> Vector3<T>::zero(0, 0, 0);
-
-
Eule::Vector3::LerpSelf
void LerpSelf(const Vector3< T > &other, double t)
Will lerp itself towards other by t.
Definition: Vector3.cpp:311
-
Eule::Vector3< double >
-
Eule::Vector3::ToDouble
Vector3< double > ToDouble() const
Will convert this vector to a Vector3d.
Definition: Vector3.cpp:229
-
Math.h
-
Vector2.h
-
Eule::Vector3::z
T z
Definition: Vector3.h:96
-
Eule::Matrix4x4
A matrix 4x4 class representing a 3d transformation.
Definition: Matrix4x4.h:36
-
Eule::Vector3::x
T x
Definition: Vector3.h:94
-
Vector4.h
-
Eule::Vector2
Representation of a 2d vector.
Definition: Vector2.h:14
-
Eule::Vector3::DotProduct
double DotProduct(const Vector3< T > &other) const
Will compute the dot product to another Vector3.
Definition: Vector3.cpp:48
-
Vector3.h
-
Eule::Vector3::NormalizeSelf
void NormalizeSelf()
Will normalize this vector.
Definition: Vector3.cpp:200
-
Eule
Definition: Collider.h:4
-
Eule::Vector3::y
T y
Definition: Vector3.h:95
-
Eule::Vector4
Representation of a 4d vector.
Definition: Vector2.h:8
- -
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- - diff --git a/Doxygen/build/Vector3_8h.html b/Doxygen/build/Vector3_8h.html deleted file mode 100644 index 347a9c3..0000000 --- a/Doxygen/build/Vector3_8h.html +++ /dev/null @@ -1,155 +0,0 @@ - - - - - - - -Leonetienne/Eule: Eule/Vector3.h File Reference - - - - - - - - - - - -
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Leonetienne/Eule -
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Homemade math library, mainly targetted towards computer graphics
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-
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-Classes | -Namespaces | -Typedefs
-
-
Vector3.h File Reference
-
-
-
#include <cstdlib>
-#include <iomanip>
-#include <ostream>
-#include <sstream>
-#include "Matrix4x4.h"
-
-Include dependency graph for Vector3.h:
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-Classes

class  Eule::Vector2< T >
 Representation of a 2d vector. More...
 
class  Eule::Vector4< T >
 Representation of a 4d vector. More...
 
class  Eule::Vector3< T >
 Representation of a 3d vector. More...
 
- - - -

-Namespaces

 Eule
 
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-Typedefs

typedef Vector3< int > Eule::Vector3i
 
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- - diff --git a/Doxygen/build/Vector3_8h__dep__incl.map b/Doxygen/build/Vector3_8h__dep__incl.map deleted file mode 100644 index 0deaf45..0000000 --- a/Doxygen/build/Vector3_8h__dep__incl.map +++ /dev/null @@ -1,13 +0,0 @@ - - - - - - - - - - - - - diff --git a/Doxygen/build/Vector3_8h__dep__incl.md5 b/Doxygen/build/Vector3_8h__dep__incl.md5 deleted file mode 100644 index 627c4d5..0000000 --- a/Doxygen/build/Vector3_8h__dep__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -5923ea443852492219c66436d4bffb10 \ No newline at end of file diff --git a/Doxygen/build/Vector3_8h__dep__incl.png b/Doxygen/build/Vector3_8h__dep__incl.png deleted file mode 100644 index 4424eec..0000000 Binary files a/Doxygen/build/Vector3_8h__dep__incl.png and /dev/null differ diff --git a/Doxygen/build/Vector3_8h__incl.map b/Doxygen/build/Vector3_8h__incl.map deleted file mode 100644 index f44a900..0000000 --- a/Doxygen/build/Vector3_8h__incl.map +++ /dev/null @@ -1,10 +0,0 @@ - - - - - - - - - - diff --git a/Doxygen/build/Vector3_8h__incl.md5 b/Doxygen/build/Vector3_8h__incl.md5 deleted file mode 100644 index 26828a1..0000000 --- a/Doxygen/build/Vector3_8h__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -f06a179ddc8c6cbfb08342b459b2b95e \ No newline at end of file diff --git a/Doxygen/build/Vector3_8h__incl.png b/Doxygen/build/Vector3_8h__incl.png deleted file mode 100644 index a5d5466..0000000 Binary files a/Doxygen/build/Vector3_8h__incl.png and /dev/null differ diff --git a/Doxygen/build/Vector3_8h_source.html b/Doxygen/build/Vector3_8h_source.html deleted file mode 100644 index cd65950..0000000 --- a/Doxygen/build/Vector3_8h_source.html +++ /dev/null @@ -1,227 +0,0 @@ - - - - - - - -Leonetienne/Eule: Eule/Vector3.h Source File - - - - - - - - - - - -
-
- - - - - - -
-
Leonetienne/Eule -
-
Homemade math library, mainly targetted towards computer graphics
-
-
- - - - - - - - -
-
- - -
- -
- - -
-
-
-
Vector3.h
-
-
-Go to the documentation of this file.
1 #pragma once
-
2 #include <cstdlib>
-
3 #include <iomanip>
-
4 #include <ostream>
-
5 #include <sstream>
-
6 #include "Matrix4x4.h"
-
7 
-
8 namespace Eule
-
9 {
-
10  template <typename T> class Vector2;
-
11  template <typename T> class Vector4;
-
12 
-
16  template <typename T>
-
17  class Vector3
-
18  {
-
19  public:
-
20  Vector3() : x{ 0 }, y{ 0 }, z{ 0 } {}
-
21  Vector3(T _x, T _y, T _z) : x{ _x }, y{ _y }, z{ _z } {}
-
22  Vector3(const Vector3<T>& other) = default;
-
23  Vector3(Vector3<T>&& other) noexcept = default;
-
24 
-
26  double DotProduct(const Vector3<T>& other) const;
-
27 
-
29  Vector3<double> CrossProduct(const Vector3<T>& other) const;
-
30 
-
32  double SqrMagnitude() const;
-
33 
-
35  double Magnitude() const;
-
36 
-
38  [[nodiscard]] Vector3<double> Normalize() const;
-
39 
-
41  void NormalizeSelf();
-
42 
-
44  [[nodiscard]] Vector3<T> VectorScale(const Vector3<T>& scalar) const;
-
45 
-
47  void LerpSelf(const Vector3<T>& other, double t);
-
48 
-
50  [[nodiscard]] Vector3<double> Lerp(const Vector3<T>& other, double t) const;
-
51 
-
53  [[nodiscard]] bool Similar(const Vector3<T>& other, double epsilon = 0.00001) const;
-
54 
-
56  [[nodiscard]] Vector3<int> ToInt() const;
-
57 
-
59  [[nodiscard]] Vector3<double> ToDouble() const;
-
60 
-
61  T& operator[](std::size_t idx);
-
62  const T& operator[](std::size_t idx) const;
-
63 
-
64  Vector3<T> operator+(const Vector3<T>& other) const;
-
65  void operator+=(const Vector3<T>& other);
-
66  Vector3<T> operator-(const Vector3<T>& other) const;
-
67  void operator-=(const Vector3<T>& other);
-
68  Vector3<T> operator*(const T scale) const;
-
69  void operator*=(const T scale);
-
70  Vector3<T> operator/(const T scale) const;
-
71  void operator/=(const T scale);
-
72  Vector3<T> operator*(const Matrix4x4& mat) const;
-
73  void operator*=(const Matrix4x4& mat);
-
74  Vector3<T> operator-() const;
-
75 
-
76  operator Vector2<T>() const;
-
77  operator Vector4<T>() const;
-
78 
-
79  void operator=(const Vector3<T>& other);
-
80  void operator=(Vector3<T>&& other) noexcept;
-
81 
-
82  bool operator==(const Vector3<T>& other) const;
-
83  bool operator!=(const Vector3<T>& other) const;
-
84 
-
85  friend std::ostream& operator << (std::ostream& os, const Vector3<T>& v)
-
86  {
-
87  return os << "[x: " << v.x << " y: " << v.y << " z: " << v.z << "]";
-
88  }
-
89  friend std::wostream& operator << (std::wostream& os, const Vector3<T>& v)
-
90  {
-
91  return os << L"[x: " << v.x << L" y: " << v.y << L" z: " << v.z << L"]";
-
92  }
-
93 
-
94  T x;
-
95  T y;
-
96  T z;
-
97 
-
98  // Some handy predefines
-
99  static const Vector3<double> up;
-
100  static const Vector3<double> down;
-
101  static const Vector3<double> right;
-
102  static const Vector3<double> left;
-
103  static const Vector3<double> forward;
-
104  static const Vector3<double> backward;
-
105  static const Vector3<double> one;
-
106  static const Vector3<double> zero;
-
107  };
-
108 
-
109  typedef Vector3<int> Vector3i;
-
110  typedef Vector3<double> Vector3d;
-
111 }
-
-
Eule::Vector3::operator+
Vector3< T > operator+(const Vector3< T > &other) const
Definition: Vector3.cpp:372
-
Eule::Vector3::right
static const Vector3< double > right
Definition: Vector3.h:101
-
Eule::Vector3::operator<<
friend std::ostream & operator<<(std::ostream &os, const Vector3< T > &v)
Definition: Vector3.h:85
-
Eule::Vector3::LerpSelf
void LerpSelf(const Vector3< T > &other, double t)
Will lerp itself towards other by t.
Definition: Vector3.cpp:311
-
Eule::Vector3::CrossProduct
Vector3< double > CrossProduct(const Vector3< T > &other) const
Will compute the cross product to another Vector3.
Definition: Vector3.cpp:68
-
Eule::Vector3::left
static const Vector3< double > left
Definition: Vector3.h:102
-
Eule::Vector3::Similar
bool Similar(const Vector3< T > &other, double epsilon=0.00001) const
Will compare if two vectors are similar to a certain epsilon value.
Definition: Vector3.cpp:213
-
Eule::Vector3
Representation of a 3d vector.
Definition: Matrix4x4.h:9
-
Eule::Vector3::Vector3
Vector3(T _x, T _y, T _z)
Definition: Vector3.h:21
-
Eule::Vector3::operator-
Vector3< T > operator-() const
Definition: Vector3.cpp:806
-
Eule::Vector3::down
static const Vector3< double > down
Definition: Vector3.h:100
-
Eule::Vector3::Lerp
Vector3< double > Lerp(const Vector3< T > &other, double t) const
Will return a lerp result between this and another vector.
Definition: Vector3.cpp:330
-
Eule::Vector3::forward
static const Vector3< double > forward
Definition: Vector3.h:103
-
Eule::Vector3::one
static const Vector3< double > one
Definition: Vector3.h:105
-
Eule::Vector3::operator=
void operator=(const Vector3< T > &other)
Conversion method.
Definition: Vector3.cpp:816
-
Eule::Vector3::ToDouble
Vector3< double > ToDouble() const
Will convert this vector to a Vector3d.
Definition: Vector3.cpp:229
-
Eule::Vector3::ToInt
Vector3< int > ToInt() const
Will convert this vector to a Vector3i.
Definition: Vector3.cpp:223
-
Eule::Vector3::operator==
bool operator==(const Vector3< T > &other) const
Definition: Vector3.cpp:855
-
Eule::Vector3::operator*=
void operator*=(const T scale)
Definition: Vector3.cpp:583
-
Eule::Vector3::Vector3
Vector3()
Definition: Vector3.h:20
-
Eule::Vector3d
Vector3< double > Vector3d
Definition: Matrix4x4.h:9
-
Matrix4x4.h
-
Eule::Vector3i
Vector3< int > Vector3i
Definition: Vector3.h:109
-
Eule::Vector3::backward
static const Vector3< double > backward
Definition: Vector3.h:104
-
Eule::Vector3::Normalize
Vector3< double > Normalize() const
Will return the normalization of this vector.
Definition: Vector3.cpp:147
-
Eule::Vector3::z
T z
Definition: Vector3.h:96
-
Eule::Vector3::up
static const Vector3< double > up
Definition: Vector3.h:99
-
Eule::Vector3::operator[]
T & operator[](std::size_t idx)
Definition: Vector3.cpp:235
-
Eule::Vector3::x
T x
Definition: Vector3.h:94
-
Eule::Vector3::DotProduct
double DotProduct(const Vector3< T > &other) const
Will compute the dot product to another Vector3.
Definition: Vector3.cpp:48
-
Eule::Vector3::operator/
Vector3< T > operator/(const T scale) const
Definition: Vector3.cpp:626
-
Eule::Vector3::operator-=
void operator-=(const Vector3< T > &other)
Definition: Vector3.cpp:498
-
Eule::Vector3::SqrMagnitude
double SqrMagnitude() const
Will compute the square magnitude.
Definition: Vector3.cpp:88
-
Eule::Vector3::operator/=
void operator/=(const T scale)
Definition: Vector3.cpp:667
-
Eule::Vector3::operator!=
bool operator!=(const Vector3< T > &other) const
Definition: Vector3.cpp:864
-
Eule::Vector3::operator+=
void operator+=(const Vector3< T > &other)
Definition: Vector3.cpp:414
-
Eule::Vector3::Magnitude
double Magnitude() const
Will compute the magnitude.
Definition: Vector3.cpp:95
-
Eule::Vector3::NormalizeSelf
void NormalizeSelf()
Will normalize this vector.
Definition: Vector3.cpp:200
-
Eule::Vector3::operator*
Vector3< T > operator*(const T scale) const
Definition: Vector3.cpp:541
-
Eule::Vector3::zero
static const Vector3< double > zero
Definition: Vector3.h:106
-
Eule
Definition: Collider.h:4
-
Eule::Vector3::y
T y
Definition: Vector3.h:95
-
Eule::Vector3::VectorScale
Vector3< T > VectorScale(const Vector3< T > &scalar) const
Will scale self.n by scalar.n.
Definition: Vector3.cpp:135
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Vector4.cpp File Reference
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#include "Vector4.h"
-#include "Math.h"
-#include <iostream>
-#include <immintrin.h>
-#include "Vector2.h"
-#include "Vector3.h"
-
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Homemade math library, mainly targetted towards computer graphics
-
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- - - - - - - - -
-
- - -
- -
- - -
-
-
-
Vector4.cpp
-
-
-Go to the documentation of this file.
1 #include "Vector4.h"
-
2 #include "Math.h"
-
3 #include <iostream>
-
4 
-
5 //#define _EULE_NO_INTRINSICS_
-
6 #ifndef _EULE_NO_INTRINSICS_
-
7 #include <immintrin.h>
-
8 #endif
-
9 
-
10 using namespace Eule;
-
11 
-
12 /*
-
13  NOTE:
-
14  Here you will find bad, unoptimized methods for T=int.
-
15  This is because the compiler needs a method for each type in each instantiation of the template!
-
16  I can't generalize the methods when heavily optimizing for doubles.
-
17  These functions will get called VERY rarely, if ever at all, for T=int, so it's ok.
-
18  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.
-
19 */
-
20 
-
21 // Good, optimized chad version for doubles
-
22 double Vector4<double>::SqrMagnitude() const
-
23 {
-
24  return (x * x) +
-
25  (y * y) +
-
26  (z * z) +
-
27  (w * w);
-
28 }
-
29 
-
30 // Slow, lame version for intcels
-
31 double Vector4<int>::SqrMagnitude() const
-
32 {
-
33  int iSqrMag = x*x + y*y + z*z + w*w;
-
34  return (double)iSqrMag;
-
35 }
-
36 
-
37 template<typename T>
-
38 double Vector4<T>::Magnitude() const
-
39 {
-
40  return sqrt(SqrMagnitude());
-
41 }
-
42 
-
43 
-
44 Vector4<double> Vector4<double>::VectorScale(const Vector4<double>& scalar) const
-
45 {
-
46  #ifndef _EULE_NO_INTRINSICS_
-
47 
-
48  // Load vectors into registers
-
49  __m256d __vector_self = _mm256_set_pd(w, z, y, x);
-
50  __m256d __vector_scalar = _mm256_set_pd(scalar.w, scalar.z, scalar.y, scalar.x);
-
51 
-
52  // Multiply them
-
53  __m256d __product = _mm256_mul_pd(__vector_self, __vector_scalar);
-
54 
-
55  // Retrieve result
-
56  double result[4];
-
57  _mm256_storeu_pd(result, __product);
-
58 
-
59  // Return value
-
60  return Vector4<double>(
-
61  result[0],
-
62  result[1],
-
63  result[2],
-
64  result[3]
-
65  );
-
66 
-
67  #else
-
68 
-
69  return Vector4<double>(
-
70  x * scalar.x,
-
71  y * scalar.y,
-
72  z * scalar.z,
-
73  w * scalar.w
-
74  );
-
75  #endif
-
76 }
-
77 
-
78 
-
79 Vector4<int> Vector4<int>::VectorScale(const Vector4<int>& scalar) const
-
80 {
-
81  return Vector4<int>(
-
82  x * scalar.x,
-
83  y * scalar.y,
-
84  z * scalar.z,
-
85  w * scalar.w
-
86  );
-
87 }
-
88 
-
89 
-
90 
-
91 template<typename T>
-
92 Vector4<double> Vector4<T>::Normalize() const
-
93 {
-
94  Vector4<double> norm(x, y, z, w);
-
95  norm.NormalizeSelf();
-
96 
-
97  return norm;
-
98 }
-
99 
-
100 // Method to normalize a Vector43d
-
101 void Vector4<double>::NormalizeSelf()
-
102 {
-
103  double length = Magnitude();
-
104 
-
105  // Prevent division by 0
-
106  if (length == 0)
-
107  {
-
108  x = 0;
-
109  y = 0;
-
110  z = 0;
-
111  w = 0;
-
112  }
-
113  else
-
114  {
-
115  #ifndef _EULE_NO_INTRINSICS_
-
116 
-
117  // Load vector and length into registers
-
118  __m256d __vec = _mm256_set_pd(w, z, y, x);
-
119  __m256d __len = _mm256_set1_pd(length);
-
120 
-
121  // Divide
-
122  __m256d __prod = _mm256_div_pd(__vec, __len);
-
123 
-
124  // Extract and set values
-
125  double prod[4];
-
126  _mm256_storeu_pd(prod, __prod);
-
127 
-
128  x = prod[0];
-
129  y = prod[1];
-
130  z = prod[2];
-
131  w = prod[3];
-
132 
-
133  #else
-
134 
-
135  x /= length;
-
136  y /= length;
-
137  z /= length;
-
138  w /= length;
-
139 
-
140  #endif
-
141  }
-
142 
-
143  return;
-
144 }
-
145 
-
146 // You can't normalize an int vector, ffs!
-
147 // But we need an implementation for T=int
-
148 void Vector4<int>::NormalizeSelf()
-
149 {
-
150  std::cerr << "Stop normalizing int-vectors!!" << std::endl;
-
151  x = 0;
-
152  y = 0;
-
153  z = 0;
-
154  w = 0;
-
155 
-
156  return;
-
157 }
-
158 
-
159 
-
160 
-
161 template<typename T>
-
162 bool Vector4<T>::Similar(const Vector4<T>& other, double epsilon) const
-
163 {
-
164  return
-
165  (::Math::Similar(x, other.x, epsilon)) &&
-
166  (::Math::Similar(y, other.y, epsilon)) &&
-
167  (::Math::Similar(z, other.z, epsilon)) &&
-
168  (::Math::Similar(w, other.w, epsilon))
-
169  ;
-
170 }
-
171 
-
172 template<typename T>
-
173 Vector4<int> Vector4<T>::ToInt() const
-
174 {
-
175  return Vector4<int>((int)x, (int)y, (int)z, (int)w);
-
176 }
-
177 
-
178 template<typename T>
-
179 Vector4<double> Vector4<T>::ToDouble() const
-
180 {
-
181  return Vector4<double>((double)x, (double)y, (double)z, (double)w);
-
182 }
-
183 
-
184 template<typename T>
-
185 T& Vector4<T>::operator[](std::size_t idx)
-
186 {
-
187  switch (idx)
-
188  {
-
189  case 0:
-
190  return x;
-
191  case 1:
-
192  return y;
-
193  case 2:
-
194  return z;
-
195  case 3:
-
196  return w;
-
197  default:
-
198  throw std::out_of_range("Array descriptor on Vector4<T> out of range!");
-
199  }
-
200 }
-
201 
-
202 template<typename T>
-
203 const T& Vector4<T>::operator[](std::size_t idx) const
-
204 {
-
205  switch (idx)
-
206  {
-
207  case 0:
-
208  return x;
-
209  case 1:
-
210  return y;
-
211  case 2:
-
212  return z;
-
213  case 3:
-
214  return w;
-
215  default:
-
216  throw std::out_of_range("Array descriptor on Vector4<T> out of range!");
-
217  }
-
218 }
-
219 
-
220 
-
221 
-
222 // Good, optimized chad version for doubles
-
223 void Vector4<double>::LerpSelf(const Vector4<double>& other, double t)
-
224 {
-
225  const double it = 1.0 - t; // Inverse t
-
226 
-
227  #ifndef _EULE_NO_INTRINSICS_
-
228 
-
229  // Move vector components and factors into registers
-
230  __m256d __vector_self = _mm256_set_pd(w, z, y, x);
-
231  __m256d __vector_other = _mm256_set_pd(other.w, other.z, other.y, other.x);
-
232  __m256d __t = _mm256_set1_pd(t);
-
233  __m256d __it = _mm256_set1_pd(it); // Inverse t
-
234 
-
235  // Procedure:
-
236  // (__vector_self * __it) + (__vector_other * __t)
-
237 
-
238  __m256d __sum = _mm256_set1_pd(0); // this will hold the sum of the two multiplications
-
239 
-
240  __sum = _mm256_fmadd_pd(__vector_self, __it, __sum);
-
241  __sum = _mm256_fmadd_pd(__vector_other, __t, __sum);
-
242 
-
243  // Retrieve result, and apply it
-
244  double sum[4];
-
245  _mm256_storeu_pd(sum, __sum);
-
246 
-
247  x = sum[0];
-
248  y = sum[1];
-
249  z = sum[2];
-
250  w = sum[3];
-
251 
-
252  #else
-
253 
-
254  x = it * x + t * other.x;
-
255  y = it * y + t * other.y;
-
256  z = it * z + t * other.z;
-
257  w = it * w + t * other.w;
-
258 
-
259  #endif
-
260 
-
261  return;
-
262 }
-
263 
-
264 
-
265 
-
266 // Slow, lame version for intcels
-
267 void Vector4<int>::LerpSelf(const Vector4<int>& other, double t)
-
268 {
-
269  const double it = 1.0 - t;
-
270 
-
271  x = (int)(it * (double)x + t * (double)other.x);
-
272  y = (int)(it * (double)y + t * (double)other.y);
-
273  z = (int)(it * (double)z + t * (double)other.z);
-
274  w = (int)(it * (double)w + t * (double)other.w);
-
275 
-
276  return;
-
277 }
-
278 
-
279 Vector4<double> Vector4<double>::Lerp(const Vector4<double>& other, double t) const
-
280 {
-
281  Vector4d copy(*this);
-
282  copy.LerpSelf(other, t);
-
283 
-
284  return copy;
-
285 }
-
286 
-
287 Vector4<double> Vector4<int>::Lerp(const Vector4<int>& other, double t) const
-
288 {
-
289  Vector4d copy(this->ToDouble());
-
290  copy.LerpSelf(other.ToDouble(), t);
-
291 
-
292  return copy;
-
293 }
-
294 
-
295 
-
296 
-
297 Vector4<double> Vector4<double>::operator+(const Vector4<double>& other) const
-
298 {
-
299  #ifndef _EULE_NO_INTRINSICS_
-
300 
-
301  // Move vector components and factors into registers
-
302  __m256d __vector_self = _mm256_set_pd(w, z, y, x);
-
303  __m256d __vector_other = _mm256_set_pd(other.w, other.z, other.y, other.x);
-
304 
-
305  // Add the components
-
306  __m256d __sum = _mm256_add_pd(__vector_self, __vector_other);
-
307 
-
308  // Retrieve and return these values
-
309  double sum[4];
-
310  _mm256_storeu_pd(sum, __sum);
-
311 
-
312  return Vector4<double>(
-
313  sum[0],
-
314  sum[1],
-
315  sum[2],
-
316  sum[3]
-
317  );
-
318 
-
319  #else
-
320 
-
321  return Vector4<double>(
-
322  x + other.x,
-
323  y + other.y,
-
324  z + other.z,
-
325  w + other.w
-
326  );
-
327  #endif
-
328 }
-
329 
-
330 template<typename T>
-
331 Vector4<T> Vector4<T>::operator+(const Vector4<T>& other) const
-
332 {
-
333  return Vector4<T>(
-
334  x + other.x,
-
335  y + other.y,
-
336  z + other.z,
-
337  w + other.w
-
338  );
-
339 }
-
340 
-
341 
-
342 
-
343 void Vector4<double>::operator+=(const Vector4<double>& other)
-
344 {
-
345  #ifndef _EULE_NO_INTRINSICS_
-
346 
-
347  // Move vector components and factors into registers
-
348  __m256d __vector_self = _mm256_set_pd(w, z, y, x);
-
349  __m256d __vector_other = _mm256_set_pd(other.w, other.z, other.y, other.x);
-
350 
-
351  // Add the components
-
352  __m256d __sum = _mm256_add_pd(__vector_self, __vector_other);
-
353 
-
354  // Retrieve and apply these values
-
355  double sum[4];
-
356  _mm256_storeu_pd(sum, __sum);
-
357 
-
358  x = sum[0];
-
359  y = sum[1];
-
360  z = sum[2];
-
361  w = sum[3];
-
362 
-
363  #else
-
364 
-
365  x += other.x;
-
366  y += other.y;
-
367  z += other.z;
-
368  w += other.w;
-
369 
-
370  #endif
-
371 
-
372  return;
-
373 }
-
374 
-
375 template<typename T>
-
376 void Vector4<T>::operator+=(const Vector4<T>& other)
-
377 {
-
378  x += other.x;
-
379  y += other.y;
-
380  z += other.z;
-
381  w += other.w;
-
382  return;
-
383 }
-
384 
-
385 
-
386 
-
387 Vector4<double> Vector4<double>::operator-(const Vector4<double>& other) const
-
388 {
-
389  #ifndef _EULE_NO_INTRINSICS_
-
390 
-
391  // Move vector components and factors into registers
-
392  __m256d __vector_self = _mm256_set_pd(w, z, y, x);
-
393  __m256d __vector_other = _mm256_set_pd(other.w, other.z, other.y, other.x);
-
394 
-
395  // Subtract the components
-
396  __m256d __diff = _mm256_sub_pd(__vector_self, __vector_other);
-
397 
-
398  // Retrieve and return these values
-
399  double diff[4];
-
400  _mm256_storeu_pd(diff, __diff);
-
401 
-
402  return Vector4<double>(
-
403  diff[0],
-
404  diff[1],
-
405  diff[2],
-
406  diff[3]
-
407  );
-
408 
-
409  #else
-
410 
-
411  return Vector4<double>(
-
412  x - other.x,
-
413  y - other.y,
-
414  z - other.z,
-
415  w - other.w
-
416  );
-
417  #endif
-
418 }
-
419 
-
420 template<typename T>
-
421 Vector4<T> Vector4<T>::operator-(const Vector4<T>& other) const
-
422 {
-
423  return Vector4<T>(
-
424  x - other.x,
-
425  y - other.y,
-
426  z - other.z,
-
427  w - other.w
-
428  );
-
429 }
-
430 
-
431 
-
432 
-
433 void Vector4<double>::operator-=(const Vector4<double>& other)
-
434 {
-
435  #ifndef _EULE_NO_INTRINSICS_
-
436 
-
437  // Move vector components and factors into registers
-
438  __m256d __vector_self = _mm256_set_pd(w, z, y, x);
-
439  __m256d __vector_other = _mm256_set_pd(other.w, other.z, other.y, other.x);
-
440 
-
441  // Subtract the components
-
442  __m256d __diff = _mm256_sub_pd(__vector_self, __vector_other);
-
443 
-
444  // Retrieve and apply these values
-
445  double diff[4];
-
446  _mm256_storeu_pd(diff, __diff);
-
447 
-
448  x = diff[0];
-
449  y = diff[1];
-
450  z = diff[2];
-
451  w = diff[3];
-
452 
-
453  #else
-
454 
-
455  x -= other.x;
-
456  y -= other.y;
-
457  z -= other.z;
-
458  w -= other.w;
-
459 
-
460  #endif
-
461 
-
462  return;
-
463 }
-
464 
-
465 template<typename T>
-
466 void Vector4<T>::operator-=(const Vector4<T>& other)
-
467 {
-
468  x -= other.x;
-
469  y -= other.y;
-
470  z -= other.z;
-
471  w -= other.w;
-
472  return;
-
473 }
-
474 
-
475 
-
476 
-
477 Vector4<double> Vector4<double>::operator*(const double scale) const
-
478 {
-
479  #ifndef _EULE_NO_INTRINSICS_
-
480 
-
481  // Move vector components and factors into registers
-
482  __m256d __vector_self = _mm256_set_pd(w, z, y, x);
-
483  __m256d __scalar = _mm256_set1_pd(scale);
-
484 
-
485  // Multiply the components
-
486  __m256d __prod = _mm256_mul_pd(__vector_self, __scalar);
-
487 
-
488  // Retrieve and return these values
-
489  double prod[4];
-
490  _mm256_storeu_pd(prod, __prod);
-
491 
-
492  return Vector4<double>(
-
493  prod[0],
-
494  prod[1],
-
495  prod[2],
-
496  prod[3]
-
497  );
-
498 
-
499  #else
-
500 
-
501  return Vector4<double>(
-
502  x * scale,
-
503  y * scale,
-
504  z * scale,
-
505  w * scale
-
506  );
-
507 
-
508  #endif
-
509 }
-
510 
-
511 template<typename T>
-
512 Vector4<T> Vector4<T>::operator*(const T scale) const
-
513 {
-
514  return Vector4<T>(
-
515  x * scale,
-
516  y * scale,
-
517  z * scale,
-
518  w * scale
-
519  );
-
520 }
-
521 
-
522 
-
523 
-
524 void Vector4<double>::operator*=(const double scale)
-
525 {
-
526  #ifndef _EULE_NO_INTRINSICS_
-
527 
-
528  // Move vector components and factors into registers
-
529  __m256d __vector_self = _mm256_set_pd(w, z, y, x);
-
530  __m256d __scalar = _mm256_set1_pd(scale);
-
531 
-
532  // Multiply the components
-
533  __m256d __prod = _mm256_mul_pd(__vector_self, __scalar);
-
534 
-
535  // Retrieve and apply these values
-
536  double prod[4];
-
537  _mm256_storeu_pd(prod, __prod);
-
538 
-
539  x = prod[0];
-
540  y = prod[1];
-
541  z = prod[2];
-
542  w = prod[3];
-
543 
-
544  #else
-
545 
-
546  x *= scale;
-
547  y *= scale;
-
548  z *= scale;
-
549  w *= scale;
-
550 
-
551  #endif
-
552 
-
553  return;
-
554 }
-
555 
-
556 template<typename T>
-
557 void Vector4<T>::operator*=(const T scale)
-
558 {
-
559  x *= scale;
-
560  y *= scale;
-
561  z *= scale;
-
562  w *= scale;
-
563  return;
-
564 }
-
565 
-
566 
-
567 
-
568 Vector4<double> Vector4<double>::operator/(const double scale) const
-
569 {
-
570  #ifndef _EULE_NO_INTRINSICS_
-
571 
-
572  // Move vector components and factors into registers
-
573  __m256d __vector_self = _mm256_set_pd(w, z, y, x);
-
574  __m256d __scalar = _mm256_set1_pd(scale);
-
575 
-
576  // Divide the components
-
577  __m256d __prod = _mm256_div_pd(__vector_self, __scalar);
-
578 
-
579  // Retrieve and return these values
-
580  double prod[4];
-
581  _mm256_storeu_pd(prod, __prod);
-
582 
-
583  return Vector4<double>(
-
584  prod[0],
-
585  prod[1],
-
586  prod[2],
-
587  prod[3]
-
588  );
-
589 
-
590  #else
-
591 
-
592  return Vector4<double>(
-
593  x / scale,
-
594  y / scale,
-
595  z / scale,
-
596  w / scale
-
597  );
-
598 
-
599  #endif
-
600 }
-
601 
-
602 template<typename T>
-
603 Vector4<T> Vector4<T>::operator/(const T scale) const
-
604 {
-
605  return Vector4<T>(
-
606  x / scale,
-
607  y / scale,
-
608  z / scale,
-
609  w / scale
-
610  );
-
611 }
-
612 
-
613 
-
614 
-
615 void Vector4<double>::operator/=(const double scale)
-
616 {
-
617  #ifndef _EULE_NO_INTRINSICS_
-
618 
-
619  // Move vector components and factors into registers
-
620  __m256d __vector_self = _mm256_set_pd(w, z, y, x);
-
621  __m256d __scalar = _mm256_set1_pd(scale);
-
622 
-
623  // Divide the components
-
624  __m256d __prod = _mm256_div_pd(__vector_self, __scalar);
-
625 
-
626  // Retrieve and apply these values
-
627  double prod[4];
-
628  _mm256_storeu_pd(prod, __prod);
-
629 
-
630  x = prod[0];
-
631  y = prod[1];
-
632  z = prod[2];
-
633  w = prod[3];
-
634 
-
635  #else
-
636 
-
637  x /= scale;
-
638  y /= scale;
-
639  z /= scale;
-
640  w /= scale;
-
641 
-
642  #endif
-
643  return;
-
644 }
-
645 
-
646 template<typename T>
-
647 void Vector4<T>::operator/=(const T scale)
-
648 {
-
649  x /= scale;
-
650  y /= scale;
-
651  z /= scale;
-
652  w /= scale;
-
653  return;
-
654 }
-
655 
-
656 
-
657 
-
658 template<typename T>
-
659 bool Vector4<T>::operator==(const Vector4<T>& other) const
-
660 {
-
661  return
-
662  (x == other.x) &&
-
663  (y == other.y) &&
-
664  (z == other.z) &&
-
665  (w == other.w);
-
666 }
-
667 
-
668 
-
669 
-
670 // Good, optimized chad version for doubles
-
671 Vector4<double> Vector4<double>::operator*(const Matrix4x4& mat) const
-
672 {
-
673  Vector4<double> newVec;
-
674 
-
675  newVec.x = (mat[0][0] * x) + (mat[0][1] * y) + (mat[0][2] * z) + (mat[0][3] * w);
-
676  newVec.y = (mat[1][0] * x) + (mat[1][1] * y) + (mat[1][2] * z) + (mat[1][3] * w);
-
677  newVec.z = (mat[2][0] * x) + (mat[2][1] * y) + (mat[2][2] * z) + (mat[2][3] * w);
-
678  newVec.w = (mat[3][0] * x) + (mat[3][1] * y) + (mat[3][2] * z) + (mat[3][3] * w);
-
679 
-
680  return newVec;
-
681 }
-
682 
-
683 // Slow, lame version for intcels
-
684 Vector4<int> Vector4<int>::operator*(const Matrix4x4& mat) const
-
685 {
-
686  Vector4<double> newVec;
-
687 
-
688  newVec.x = (mat[0][0] * x) + (mat[0][1] * y) + (mat[0][2] * z) + (mat[0][3] * w);
-
689  newVec.y = (mat[1][0] * x) + (mat[1][1] * y) + (mat[1][2] * z) + (mat[1][3] * w);
-
690  newVec.z = (mat[2][0] * x) + (mat[2][1] * y) + (mat[2][2] * z) + (mat[2][3] * w);
-
691  newVec.w = (mat[3][0] * x) + (mat[3][1] * y) + (mat[3][2] * z) + (mat[3][3] * w);
-
692 
-
693  return Vector4<int>(
-
694  (int)newVec.x,
-
695  (int)newVec.y,
-
696  (int)newVec.z,
-
697  (int)newVec.w
-
698  );
-
699 }
-
700 
-
701 
-
702 
-
703 // Good, optimized chad version for doubles
-
704 void Vector4<double>::operator*=(const Matrix4x4& mat)
-
705 {
-
706  Vector4<double> buffer = *this;
-
707 
-
708  // Should this still be reversed...? like, instead of mat[x][y], use mat[y][m]
-
709  // idk right now. check that if something doesn't work
-
710  x = (mat[0][0] * buffer.x) + (mat[0][1] * buffer.y) + (mat[0][2] * buffer.z) + (mat[0][3] * buffer.w);
-
711  y = (mat[1][0] * buffer.x) + (mat[1][1] * buffer.y) + (mat[1][2] * buffer.z) + (mat[1][3] * buffer.w);
-
712  z = (mat[2][0] * buffer.x) + (mat[2][1] * buffer.y) + (mat[2][2] * buffer.z) + (mat[2][3] * buffer.w);
-
713  w = (mat[3][0] * buffer.x) + (mat[3][1] * buffer.y) + (mat[3][2] * buffer.z) + (mat[3][3] * buffer.w);
-
714 
-
715  return;
-
716 }
-
717 
-
718 template<typename T>
-
719 Vector4<T> Vector4<T>::operator-() const
-
720 {
-
721  return Vector4<T>(
-
722  -x,
-
723  -y,
-
724  -z,
-
725  -w
-
726  );
-
727 }
-
728 
-
729 template<typename T>
-
730 void Vector4<T>::operator=(const Vector4<T>& other)
-
731 {
-
732  x = other.x;
-
733  y = other.y;
-
734  z = other.z;
-
735  w = other.w;
-
736 
-
737  return;
-
738 }
-
739 
-
740 template<typename T>
-
741 void Vector4<T>::operator=(Vector4<T>&& other) noexcept
-
742 {
-
743  x = std::move(other.x);
-
744  y = std::move(other.y);
-
745  z = std::move(other.z);
-
746  w = std::move(other.w);
-
747 
-
748  return;
-
749 }
-
750 
-
751 // Slow, lame version for intcels
-
752 void Vector4<int>::operator*=(const Matrix4x4& mat)
-
753 {
-
754  Vector4<double> buffer(x, y, z, w);
-
755 
-
756  // Should this still be reversed...? like, instead of mat[x][y], use mat[y][m]
-
757  // idk right now. check that if something doesn't work
-
758  x = (int)((mat[0][0] * buffer.x) + (mat[0][1] * buffer.y) + (mat[0][2] * buffer.z) + (mat[0][3] * buffer.w));
-
759  y = (int)((mat[1][0] * buffer.x) + (mat[1][1] * buffer.y) + (mat[1][2] * buffer.z) + (mat[1][3] * buffer.w));
-
760  z = (int)((mat[2][0] * buffer.x) + (mat[2][1] * buffer.y) + (mat[2][2] * buffer.z) + (mat[2][3] * buffer.w));
-
761  w = (int)((mat[3][0] * buffer.x) + (mat[3][1] * buffer.y) + (mat[3][2] * buffer.z) + (mat[3][3] * buffer.w));
-
762 
-
763  return;
-
764 }
-
765 
-
766 template<typename T>
-
767 bool Vector4<T>::operator!=(const Vector4<T>& other) const
-
768 {
-
769  return !operator==(other);
-
770 }
-
771 
-
772 #include "Vector2.h"
-
773 #include "Vector3.h"
-
774 template<typename T>
-
775 Vector4<T>::operator Vector2<T>() const
-
776 {
-
777  return Vector2<T>(x, y);
-
778 }
-
779 
-
780 template<typename T>
-
781 Vector4<T>::operator Vector3<T>() const
-
782 {
-
783  return Vector3<T>(x, y, z);
-
784 }
-
785 
-
786 template class Vector4<int>;
-
787 template class Vector4<double>;
-
788 
-
789 // Some handy predefines
-
790 template <typename T>
-
791 const Vector4<double> Vector4<T>::up(0, 1, 0, 0);
-
792 template <typename T>
-
793 const Vector4<double> Vector4<T>::down(0, -1, 0, 0);
-
794 template <typename T>
-
795 const Vector4<double> Vector4<T>::right(1, 0, 0, 0);
-
796 template <typename T>
-
797 const Vector4<double> Vector4<T>::left(-1, 0, 0, 0);
-
798 template <typename T>
-
799 const Vector4<double> Vector4<T>::forward(1, 0, 0, 0);
-
800 template <typename T>
-
801 const Vector4<double> Vector4<T>::backward(-1, 0, 0, 0);
-
802 template <typename T>
-
803 const Vector4<double> Vector4<T>::future(0, 0, 0, 1);
-
804 template <typename T>
-
805 const Vector4<double> Vector4<T>::past(0, 0, 0, -1);
-
806 template <typename T>
-
807 const Vector4<double> Vector4<T>::one(1, 1, 1, 1);
-
808 template <typename T>
-
809 const Vector4<double> Vector4<T>::zero(0, 0, 0, 0);
-
-
Eule::Vector4::NormalizeSelf
void NormalizeSelf()
Will normalize this vector.
Definition: Vector4.cpp:148
-
Eule::Vector3
Representation of a 3d vector.
Definition: Matrix4x4.h:9
-
Eule::Vector4::x
T x
Definition: Vector4.h:88
-
Eule::Vector4::z
T z
Definition: Vector4.h:90
-
Math.h
-
Eule::Vector4::LerpSelf
void LerpSelf(const Vector4< T > &other, double t)
Will lerp itself towards other by t.
Definition: Vector4.cpp:267
-
Eule::Vector4::w
T w
Definition: Vector4.h:91
-
Vector2.h
-
Eule::Matrix4x4
A matrix 4x4 class representing a 3d transformation.
Definition: Matrix4x4.h:36
-
Eule::Vector4::ToDouble
Vector4< double > ToDouble() const
Will convert this vector to a Vector4d.
Definition: Vector4.cpp:179
-
Vector4.h
-
Eule::Vector2
Representation of a 2d vector.
Definition: Vector2.h:14
-
Eule::Vector4::SqrMagnitude
double SqrMagnitude() const
Will compute the square magnitude.
Definition: Vector4.cpp:31
-
Vector3.h
-
Eule::Vector4::y
T y
Definition: Vector4.h:89
-
Eule
Definition: Collider.h:4
-
Eule::Vector4
Representation of a 4d vector.
Definition: Vector2.h:8
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- - diff --git a/Doxygen/build/Vector4_8h.html b/Doxygen/build/Vector4_8h.html deleted file mode 100644 index ea2127f..0000000 --- a/Doxygen/build/Vector4_8h.html +++ /dev/null @@ -1,152 +0,0 @@ - - - - - - - -Leonetienne/Eule: Eule/Vector4.h File Reference - - - - - - - - - - - -
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Leonetienne/Eule -
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Homemade math library, mainly targetted towards computer graphics
-
-
- - - - - - - - -
-
- - -
- -
- - -
-
-
-Classes | -Namespaces | -Typedefs
-
-
Vector4.h File Reference
-
-
-
#include <cstdlib>
-#include <iomanip>
-#include <ostream>
-#include <sstream>
-#include "Matrix4x4.h"
-
-Include dependency graph for Vector4.h:
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-Classes

class  Eule::Vector2< T >
 Representation of a 2d vector. More...
 
class  Eule::Vector3< T >
 Representation of a 3d vector. More...
 
class  Eule::Vector4< T >
 Representation of a 4d vector. More...
 
- - - -

-Namespaces

 Eule
 
- - - - - -

-Typedefs

typedef Vector4< int > Eule::Vector4i
 
typedef Vector4< double > Eule::Vector4d
 
-
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-Generated on Mon Nov 15 2021 16:10:18 for Leonetienne/Eule by   -doxygen - 1.8.17 -
- - diff --git a/Doxygen/build/Vector4_8h__dep__incl.map b/Doxygen/build/Vector4_8h__dep__incl.map deleted file mode 100644 index 2095a62..0000000 --- a/Doxygen/build/Vector4_8h__dep__incl.map +++ /dev/null @@ -1,8 +0,0 @@ - - - - - - - - diff --git a/Doxygen/build/Vector4_8h__dep__incl.md5 b/Doxygen/build/Vector4_8h__dep__incl.md5 deleted file mode 100644 index 6c0771d..0000000 --- a/Doxygen/build/Vector4_8h__dep__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -519ab42af69ca3826341022de9cbd030 \ No newline at end of file diff --git a/Doxygen/build/Vector4_8h__dep__incl.png b/Doxygen/build/Vector4_8h__dep__incl.png deleted file mode 100644 index a5df998..0000000 Binary files a/Doxygen/build/Vector4_8h__dep__incl.png and /dev/null differ diff --git a/Doxygen/build/Vector4_8h__incl.map b/Doxygen/build/Vector4_8h__incl.map deleted file mode 100644 index 5701859..0000000 --- a/Doxygen/build/Vector4_8h__incl.map +++ /dev/null @@ -1,10 +0,0 @@ - - - - - - - - - - diff --git a/Doxygen/build/Vector4_8h__incl.md5 b/Doxygen/build/Vector4_8h__incl.md5 deleted file mode 100644 index 3382afb..0000000 --- a/Doxygen/build/Vector4_8h__incl.md5 +++ /dev/null @@ -1 +0,0 @@ -ad580b6dad739ccc43a8731390726116 \ No newline at end of file diff --git a/Doxygen/build/Vector4_8h__incl.png b/Doxygen/build/Vector4_8h__incl.png deleted file mode 100644 index 8d771f7..0000000 Binary files a/Doxygen/build/Vector4_8h__incl.png and /dev/null differ diff --git a/Doxygen/build/Vector4_8h_source.html b/Doxygen/build/Vector4_8h_source.html deleted file mode 100644 index 9f2680b..0000000 --- a/Doxygen/build/Vector4_8h_source.html +++ /dev/null @@ -1,227 +0,0 @@ - - - - - - - -Leonetienne/Eule: Eule/Vector4.h Source File - - - - - - - - - - - -
-
- - - - - - -
-
Leonetienne/Eule -
-
Homemade math library, mainly targetted towards computer graphics
-
-
- - - - - - - - -
-
- - -
- -
- - -
-
-
-
Vector4.h
-
-
-Go to the documentation of this file.
1 #pragma once
-
2 #include <cstdlib>
-
3 #include <iomanip>
-
4 #include <ostream>
-
5 #include <sstream>
-
6 #include "Matrix4x4.h"
-
7 
-
8 namespace Eule
-
9 {
-
10  template <typename T> class Vector2;
-
11  template <typename T> class Vector3;
-
12 
-
16  template <typename T>
-
17  class Vector4
-
18  {
-
19  public:
-
20  Vector4() : x{ 0 }, y{ 0 }, z{ 0 }, w{ 0 } {}
-
21  Vector4(T _x, T _y, T _z, T _w) : x{ _x }, y{ _y }, z{ _z }, w{ _w } {}
-
22  Vector4(const Vector4<T>& other) = default;
-
23  Vector4(Vector4<T>&& other) noexcept = default;
-
24 
-
26  double SqrMagnitude() const;
-
27 
-
29  double Magnitude() const;
-
30 
-
32  [[nodiscard]] Vector4<double> Normalize() const;
-
33 
-
35  void NormalizeSelf();
-
36 
-
38  [[nodiscard]] Vector4<T> VectorScale(const Vector4<T>& scalar) const;
-
39 
-
41  void LerpSelf(const Vector4<T>& other, double t);
-
42 
-
44  [[nodiscard]] Vector4<double> Lerp(const Vector4<T>& other, double t) const;
-
45 
-
47  [[nodiscard]] bool Similar(const Vector4<T>& other, double epsilon = 0.00001) const;
-
48 
-
50  [[nodiscard]] Vector4<int> ToInt() const;
-
51 
-
53  [[nodiscard]] Vector4<double> ToDouble() const;
-
54 
-
55  T& operator[](std::size_t idx);
-
56  const T& operator[](std::size_t idx) const;
-
57 
-
58  Vector4<T> operator+(const Vector4<T>& other) const;
-
59  void operator+=(const Vector4<T>& other);
-
60  Vector4<T> operator-(const Vector4<T>& other) const;
-
61  void operator-=(const Vector4<T>& other);
-
62  Vector4<T> operator*(const T scale) const;
-
63  void operator*=(const T scale);
-
64  Vector4<T> operator/(const T scale) const;
-
65  void operator/=(const T scale);
-
66  Vector4<T> operator*(const Matrix4x4& mat) const;
-
67  void operator*=(const Matrix4x4& mat);
-
68  Vector4<T> operator-() const;
-
69 
-
70  operator Vector2<T>() const;
-
71  operator Vector3<T>() const;
-
72 
-
73  void operator=(const Vector4<T>& other);
-
74  void operator=(Vector4<T>&& other) noexcept;
-
75 
-
76  bool operator==(const Vector4<T>& other) const;
-
77  bool operator!=(const Vector4<T>& other) const;
-
78 
-
79  friend std::ostream& operator << (std::ostream& os, const Vector4<T>& v)
-
80  {
-
81  return os << "[x: " << v.x << " y: " << v.y << " z: " << v.z << " w: " << v.w << "]";
-
82  }
-
83  friend std::wostream& operator << (std::wostream& os, const Vector4<T>& v)
-
84  {
-
85  return os << L"[x: " << v.x << L" y: " << v.y << L" z: " << v.z << L" w: " << v.w << L"]";
-
86  }
-
87 
-
88  T x;
-
89  T y;
-
90  T z;
-
91  T w;
-
92 
-
93  // Some handy predefines
-
94  static const Vector4<double> up;
-
95  static const Vector4<double> down;
-
96  static const Vector4<double> right;
-
97  static const Vector4<double> left;
-
98  static const Vector4<double> forward;
-
99  static const Vector4<double> backward;
-
100  static const Vector4<double> future;
-
101  static const Vector4<double> past;
-
102  static const Vector4<double> one;
-
103  static const Vector4<double> zero;
-
104  };
-
105 
-
106  typedef Vector4<int> Vector4i;
-
107  typedef Vector4<double> Vector4d;
-
108 }
-
-
Eule::Vector4::ToInt
Vector4< int > ToInt() const
Will convert this vector to a Vector4i.
Definition: Vector4.cpp:173
-
Eule::Vector4::Vector4
Vector4(T _x, T _y, T _z, T _w)
Definition: Vector4.h:21
-
Eule::Vector4::operator+=
void operator+=(const Vector4< T > &other)
Definition: Vector4.cpp:376
-
Eule::Vector4::operator/
Vector4< T > operator/(const T scale) const
Definition: Vector4.cpp:603
-
Eule::Vector4::operator*
Vector4< T > operator*(const T scale) const
Definition: Vector4.cpp:512
-
Eule::Vector4::NormalizeSelf
void NormalizeSelf()
Will normalize this vector.
Definition: Vector4.cpp:148
-
Eule::Vector4::Vector4
Vector4()
Definition: Vector4.h:20
-
Eule::Vector4::backward
static const Vector4< double > backward
Definition: Vector4.h:99
-
Eule::Vector4::x
T x
Definition: Vector4.h:88
-
Eule::Vector4::operator=
void operator=(const Vector4< T > &other)
Conversion method.
Definition: Vector4.cpp:730
-
Eule::Vector4::operator-=
void operator-=(const Vector4< T > &other)
Definition: Vector4.cpp:466
-
Eule::Vector4::Normalize
Vector4< double > Normalize() const
Will return the normalization of this vector.
Definition: Vector4.cpp:92
-
Eule::Vector4::z
T z
Definition: Vector4.h:90
-
Eule::Vector4::operator*=
void operator*=(const T scale)
Definition: Vector4.cpp:557
-
Eule::Vector4d
Vector4< double > Vector4d
Definition: Vector4.h:107
-
Eule::Vector4::VectorScale
Vector4< T > VectorScale(const Vector4< T > &scalar) const
Will scale self.n by scalar.n.
Definition: Vector4.cpp:79
-
Eule::Vector4::operator-
Vector4< T > operator-() const
Definition: Vector4.cpp:719
-
Eule::Vector4::Lerp
Vector4< double > Lerp(const Vector4< T > &other, double t) const
Will return a lerp result between this and another vector.
Definition: Vector4.cpp:287
-
Eule::Vector4::one
static const Vector4< double > one
Definition: Vector4.h:102
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Eule::Vector4::LerpSelf
void LerpSelf(const Vector4< T > &other, double t)
Will lerp itself towards other by t.
Definition: Vector4.cpp:267
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static const Vector4< double > forward
Definition: Vector4.h:98
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Eule::Vector4::operator/=
void operator/=(const T scale)
Definition: Vector4.cpp:647
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T w
Definition: Vector4.h:91
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Eule::Vector4::down
static const Vector4< double > down
Definition: Vector4.h:95
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Eule::Vector4::operator+
Vector4< T > operator+(const Vector4< T > &other) const
Definition: Vector4.cpp:331
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Eule::Vector4::operator[]
T & operator[](std::size_t idx)
Definition: Vector4.cpp:185
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Eule::Vector4::ToDouble
Vector4< double > ToDouble() const
Will convert this vector to a Vector4d.
Definition: Vector4.cpp:179
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Eule::Vector4i
Vector4< int > Vector4i
Definition: Vector4.h:106
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Eule::Vector4::operator!=
bool operator!=(const Vector4< T > &other) const
Definition: Vector4.cpp:767
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Eule::Vector4::Similar
bool Similar(const Vector4< T > &other, double epsilon=0.00001) const
Will compare if two vectors are similar to a certain epsilon value.
Definition: Vector4.cpp:162
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Eule::Vector4::Magnitude
double Magnitude() const
Will compute the magnitude.
Definition: Vector4.cpp:38
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Eule::Vector4::future
static const Vector4< double > future
Definition: Vector4.h:100
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Eule::Vector4::operator==
bool operator==(const Vector4< T > &other) const
Definition: Vector4.cpp:659
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Eule::Vector4::zero
static const Vector4< double > zero
Definition: Vector4.h:103
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Eule::Vector4::SqrMagnitude
double SqrMagnitude() const
Will compute the square magnitude.
Definition: Vector4.cpp:31
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Eule::Vector4::up
static const Vector4< double > up
Definition: Vector4.h:94
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Eule::Vector4::past
static const Vector4< double > past
Definition: Vector4.h:101
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Eule::Vector4::operator<<
friend std::ostream & operator<<(std::ostream &os, const Vector4< T > &v)
Definition: Vector4.h:79
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Eule::Vector4::y
T y
Definition: Vector4.h:89
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Eule::Vector4::left
static const Vector4< double > left
Definition: Vector4.h:97
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Eule
Definition: Collider.h:4
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Eule::Vector4::right
static const Vector4< double > right
Definition: Vector4.h:96
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Eule::Vector4
Representation of a 4d vector.
Definition: Vector2.h:8
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Homemade math library, mainly targetted towards computer graphics
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Class List
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 ▼NEule
 CColliderAbstract class of a collider domain
 CMathMath utility class containing basic functions
 CMatrix4x4A matrix 4x4 class representing a 3d transformation
 CQuaternion3D rotation representation
 CRectTrivial data structure representing a rectangle
 CTrapazoidalPrismColliderA collider describing a trapazoidal prism
 CVector2Representation of a 2d vector
 CVector3Representation of a 3d vector
 CVector4Representation of a 4d vector
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Eule::Collider Member List
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Contains(const Vector3d &point) const =0Eule::Colliderpure virtual
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Homemade math library, mainly targetted towards computer graphics
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Eule::Collider Class Referenceabstract
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Abstract class of a collider domain. - More...

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#include <Collider.h>

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-Public Member Functions

virtual bool Contains (const Vector3d &point) const =0
 Tests, if this Collider contains a point. More...
 
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Detailed Description

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Abstract class of a collider domain.

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Specializations describe a shape in 3d space, and provide implementations of the methods below, for their specific shape. Examples could be a SphereCollider, a BoxCollider, etc...

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Definition at line 10 of file Collider.h.

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Member Function Documentation

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◆ Contains()

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virtual bool Eule::Collider::Contains (const Vector3d & point) const
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Tests, if this Collider contains a point.

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Implemented in Eule::TrapazoidalPrismCollider.

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Abs(const double a)Eule::Mathinlinestatic
Clamp(const double v, const double min, const double max)Eule::Mathinlinestatic
Lerp(double a, double b, double t)Eule::Mathinlinestatic
Max(const double a, const double b)Eule::Mathinlinestatic
Min(const double a, const double b)Eule::Mathinlinestatic
Mod(const int numerator, const int denominator)Eule::Mathstatic
Oscillate(const double a, const double b, const double counter, const double speed)Eule::Mathstatic
Random()Eule::Mathstatic
RandomChance(const double chance)Eule::Mathstatic
RandomInt()Eule::Mathstatic
RandomIntRange(const int max, const int min)Eule::Mathstatic
RandomRange(const double min, const double max)Eule::Mathstatic
RandomUint()Eule::Mathstatic
Similar(const double a, const double b, const double epsilon=0.00001)Eule::Mathinlinestatic
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Eule::Math Class Reference
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Math utility class containing basic functions. - More...

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#include <Math.h>

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static constexpr double Max (const double a, const double b)
 Will return the bigger of two values. More...
 
static constexpr double Min (const double a, const double b)
 Will return the smaller of two values. More...
 
static constexpr double Clamp (const double v, const double min, const double max)
 Will return v, but at least min, and at most max More...
 
static constexpr double Lerp (double a, double b, double t)
 Will return the linear interpolation between a and b by t More...
 
static constexpr double Abs (const double a)
 Will return the absolute value of a More...
 
static constexpr bool Similar (const double a, const double b, const double epsilon=0.00001)
 Compares two double values with a given accuracy. More...
 
static int Mod (const int numerator, const int denominator)
 Will compute the actual modulo of a fraction. More...
 
static double Random ()
 Will return a random double between 0 and 1 More...
 
static unsigned int RandomUint ()
 Will return a random unsigned integer. More...
 
static unsigned int RandomInt ()
 Will return a random integer. More...
 
static double RandomRange (const double min, const double max)
 Will return a random double within a range
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static int RandomIntRange (const int max, const int min)
 Will return a random integer within a range. More...
 
static bool RandomChance (const double chance)
 Will 'roll' a dice, returning true \(100 * chance\) percent of the time. More...
 
static double Oscillate (const double a, const double b, const double counter, const double speed)
 Kind of like \(sin(counter)\), but it oscillates over \([a,b]\) instead of \([-1,1]\), by a given speed. More...
 
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Detailed Description

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Math utility class containing basic functions.

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Definition at line 9 of file Math.h.

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Member Function Documentation

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◆ Abs()

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constexpr double Eule::Math::Abs (const double a)
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Will return the absolute value of a

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Definition at line 97 of file Math.h.

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constexpr double Eule::Math::Clamp (const double v,
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Will return v, but at least min, and at most max

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Definition at line 86 of file Math.h.

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Definition at line 91 of file Math.h.

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Will return the bigger of two values.

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Definition at line 76 of file Math.h.

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Definition at line 81 of file Math.h.

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The % operator returns bs for n<0. May throw divide-by-zero std::logic_error

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Definition at line 78 of file Math.cpp.

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double Math::Oscillate (const double a,
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Kind of like \(sin(counter)\), but it oscillates over \([a,b]\) instead of \([-1,1]\), by a given speed.

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Definition at line 68 of file Math.cpp.

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MAKE_SURE_RNG_IS_INITIALIZED
#define MAKE_SURE_RNG_IS_INITIALIZED
Definition: Math.cpp:8
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PI
static constexpr double PI
Pi up to 50 decimal places.
Definition: Constants.h:6
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static constexpr double Abs(const double a)
Will return the absolute value of a
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static constexpr double Max(const double a, const double b)
Will return the bigger of two values.
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static constexpr double Min(const double a, const double b)
Will return the smaller of two values.
Definition: Math.h:81
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static double Random()
Will return a random double between 0 and 1
Definition: Math.cpp:29
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HALF_PI
static constexpr double HALF_PI
Pi divided by two.
Definition: Constants.h:9
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GetCofactors(std::size_t p, std::size_t q, std::size_t n) constEule::Matrix4x4
GetTranslationComponent() constEule::Matrix4x4
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Inverse3x3() constEule::Matrix4x4
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IsInversible3x3() constEule::Matrix4x4
IsInversible4x4() constEule::Matrix4x4
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Matrix4x4()Eule::Matrix4x4
Matrix4x4(const Matrix4x4 &other)Eule::Matrix4x4
Matrix4x4(Matrix4x4 &&other) noexceptEule::Matrix4x4
Multiply4x4(const Matrix4x4 &o) constEule::Matrix4x4
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operator!=(const Matrix4x4 &other)Eule::Matrix4x4
operator*(const Matrix4x4 &other) constEule::Matrix4x4
operator*(const double scalar) constEule::Matrix4x4
operator*=(const Matrix4x4 &other)Eule::Matrix4x4
operator*=(const double scalar)Eule::Matrix4x4
operator+(const Matrix4x4 &other) constEule::Matrix4x4
operator+=(const Matrix4x4 &other)Eule::Matrix4x4
operator-(const Matrix4x4 &other) constEule::Matrix4x4
operator-=(const Matrix4x4 &other)Eule::Matrix4x4
operator/(const Matrix4x4 &other) constEule::Matrix4x4
operator/(const double denominator) constEule::Matrix4x4
operator/=(const Matrix4x4 &other)Eule::Matrix4x4
operator/=(const double denominator)Eule::Matrix4x4
operator<<(std::ostream &os, const Matrix4x4 &m)Eule::Matrix4x4friend
operator<<(std::wostream &os, const Matrix4x4 &m)Eule::Matrix4x4friend
operator=(const Matrix4x4 &other)Eule::Matrix4x4
operator=(Matrix4x4 &&other) noexceptEule::Matrix4x4
operator==(const Matrix4x4 &other)Eule::Matrix4x4
operator[](std::size_t y)Eule::Matrix4x4
operator[](std::size_t y) constEule::Matrix4x4
pEule::Matrix4x4
SetTranslationComponent(const Vector3d &trans)Eule::Matrix4x4
Similar(const Matrix4x4 &other, double epsilon=0.00001) constEule::Matrix4x4
Transpose3x3() constEule::Matrix4x4
Transpose4x4() constEule::Matrix4x4
vEule::Matrix4x4
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-Generated on Mon Nov 15 2021 16:10:18 for Leonetienne/Eule by   -doxygen - 1.8.17 -
- - diff --git a/Doxygen/build/classEule_1_1Matrix4x4.html b/Doxygen/build/classEule_1_1Matrix4x4.html deleted file mode 100644 index 7879bb6..0000000 --- a/Doxygen/build/classEule_1_1Matrix4x4.html +++ /dev/null @@ -1,1979 +0,0 @@ - - - - - - - -Leonetienne/Eule: Eule::Matrix4x4 Class Reference - - - - - - - - - - - -
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Leonetienne/Eule -
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Homemade math library, mainly targetted towards computer graphics
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-Public Member Functions | -Public Attributes | -Friends | -List of all members
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Eule::Matrix4x4 Class Reference
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A matrix 4x4 class representing a 3d transformation. - More...

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#include <Matrix4x4.h>

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-Public Member Functions

 Matrix4x4 ()
 
 Matrix4x4 (const Matrix4x4 &other)
 
 Matrix4x4 (Matrix4x4 &&other) noexcept
 
Matrix4x4 operator* (const Matrix4x4 &other) const
 
void operator*= (const Matrix4x4 &other)
 
Matrix4x4 operator/ (const Matrix4x4 &other) const
 
void operator/= (const Matrix4x4 &other)
 
Matrix4x4 operator* (const double scalar) const
 Cellwise scaling. More...
 
void operator*= (const double scalar)
 Cellwise scaling. More...
 
Matrix4x4 operator/ (const double denominator) const
 Cellwise division. More...
 
void operator/= (const double denominator)
 Cellwise division. More...
 
Matrix4x4 operator+ (const Matrix4x4 &other) const
 Cellwise addition. More...
 
void operator+= (const Matrix4x4 &other)
 Cellwise addition. More...
 
Matrix4x4 operator- (const Matrix4x4 &other) const
 Cellwise subtraction. More...
 
void operator-= (const Matrix4x4 &other)
 Cellwise subtraction. More...
 
std::array< double, 4 > & operator[] (std::size_t y)
 
const std::array< double, 4 > & operator[] (std::size_t y) const
 
void operator= (const Matrix4x4 &other)
 
void operator= (Matrix4x4 &&other) noexcept
 
bool operator== (const Matrix4x4 &other)
 
bool operator!= (const Matrix4x4 &other)
 
const Vector3d GetTranslationComponent () const
 Will return d,h,l as a Vector3d(x,y,z) More...
 
void SetTranslationComponent (const Vector3d &trans)
 Will set d,h,l from a Vector3d(x,y,z) More...
 
Matrix4x4 DropTranslationComponents () const
 Will return this Matrix4x4 with d,h,l being set to 0. More...
 
Matrix4x4 Transpose3x3 () const
 Will return the 3x3 transpose of this matrix. More...
 
Matrix4x4 Transpose4x4 () const
 Will return the 4x4 transpose of this matrix. More...
 
Matrix4x4 Multiply4x4 (const Matrix4x4 &o) const
 Will return the Matrix4x4 of an actual 4x4 multiplication. operator* only does a 3x3. More...
 
Matrix4x4 GetCofactors (std::size_t p, std::size_t q, std::size_t n) const
 Will return the cofactors of this matrix, by dimension n. More...
 
double Determinant (std::size_t n) const
 Will return the determinant, by dimension n. More...
 
Matrix4x4 Adjoint (std::size_t n) const
 Will return the adjoint of this matrix, by dimension n. More...
 
Matrix4x4 Inverse3x3 () const
 Will return the 3x3-inverse of this matrix. More...
 
Matrix4x4 Inverse4x4 () const
 Will return the full 4x4-inverse of this matrix. More...
 
bool IsInversible3x3 () const
 Will check if the 3x3-component is inversible. More...
 
bool IsInversible4x4 () const
 Will check if the entire matrix is inversible. More...
 
bool Similar (const Matrix4x4 &other, double epsilon=0.00001) const
 Will compare if two matrices are similar to a certain epsilon value. More...
 
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-Public Attributes

std::array< std::array< double, 4 >, 4 > v
 Array holding the matrices values. More...
 
double & a = v[0][0]
 
double & b = v[0][1]
 
double & c = v[0][2]
 
double & d = v[0][3]
 
double & e = v[1][0]
 
double & f = v[1][1]
 
double & g = v[1][2]
 
double & h = v[1][3]
 
double & i = v[2][0]
 
double & j = v[2][1]
 
double & k = v[2][2]
 
double & l = v[2][3]
 
double & m = v[3][0]
 
double & n = v[3][1]
 
double & o = v[3][2]
 
double & p = v[3][3]
 
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-Friends

std::ostream & operator<< (std::ostream &os, const Matrix4x4 &m)
 
std::wostream & operator<< (std::wostream &os, const Matrix4x4 &m)
 
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Detailed Description

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A matrix 4x4 class representing a 3d transformation.

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This matrix consists of a 3x3 matrix containing scaling and rotation information, and a vector (d,h,l) representing the translation.

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myMatrix[y][x] = 3
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Note: This class can also be used to compute regular 4x4 multiplications. Use Multiply4x4() for that.

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Definition at line 36 of file Matrix4x4.h.

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Constructor & Destructor Documentation

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◆ Matrix4x4() [1/3]

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Matrix4x4::Matrix4x4 ()
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Definition at line 12 of file Matrix4x4.cpp.

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13 {
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14  // Create identity matrix
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15  for (std::size_t i = 0; i < 4; i++)
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16  for (std::size_t j = 0; j < 4; j++)
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17  v[i][j] = double(i == j);
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18 
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19  return;
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20 }
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◆ Matrix4x4() [2/3]

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Matrix4x4::Matrix4x4 (const Matrix4x4 & other)
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Definition at line 22 of file Matrix4x4.cpp.

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23 {
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24  v = other.v;
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25  return;
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26 }
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◆ Matrix4x4() [3/3]

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Matrix4x4::Matrix4x4 (Matrix4x4 && other)
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Definition at line 28 of file Matrix4x4.cpp.

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29 {
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30  v = std::move(other.v);
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31  return;
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32 }
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Member Function Documentation

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◆ Adjoint()

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Matrix4x4 Matrix4x4::Adjoint (std::size_t n) const
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Will return the adjoint of this matrix, by dimension n.

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Definition at line 533 of file Matrix4x4.cpp.

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534 {
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535  if (n > 4)
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536  throw std::runtime_error("Dimension out of range! 0 <= n <= 4");
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537 
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538  Matrix4x4 adj;
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539  double sign = 1;
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540 
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541  for (std::size_t i = 0; i < n; i++)
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542  for (std::size_t j = 0; j < n; j++)
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543  {
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544  Matrix4x4 cofs = GetCofactors(i, j, n);
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545 
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546  // sign of adj[j][i] positive if sum of row
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547  // and column indexes is even.
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548  sign = ((i + j) % 2 == 0) ? 1 : -1;
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549 
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550  // Interchanging rows and columns to get the
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551  // transpose of the cofactor matrix
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552  adj[j][i] = sign * (cofs.Determinant(n - 1));
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553  }
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554 
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555  return adj;
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556 }
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◆ Determinant()

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double Matrix4x4::Determinant (std::size_t n) const
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Will return the determinant, by dimension n.

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Definition at line 511 of file Matrix4x4.cpp.

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512 {
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513  if (n > 4)
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514  throw std::runtime_error("Dimension out of range! 0 <= n <= 4");
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515 
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516  double d = 0;
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517  double sign = 1;
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518 
-
519  if (n == 1)
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520  return v[0][0];
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521 
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522  for (std::size_t x = 0; x < n; x++)
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523  {
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524  Matrix4x4 cofs = GetCofactors(0, x, n);
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525 
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526  d += sign * v[0][x] * cofs.Determinant(n - 1);
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527  sign = -sign;
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528  }
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529 
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530  return d;
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531 }
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◆ DropTranslationComponents()

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Matrix4x4 Matrix4x4::DropTranslationComponents () const
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Will return this Matrix4x4 with d,h,l being set to 0.

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Definition at line 420 of file Matrix4x4.cpp.

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421 {
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422  Matrix4x4 m(*this);
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423  m.d = 0;
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424  m.h = 0;
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425  m.l = 0;
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426  return m;
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427 }
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◆ GetCofactors()

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Matrix4x4 Matrix4x4::GetCofactors (std::size_t p,
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Will return the cofactors of this matrix, by dimension n.

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Definition at line 478 of file Matrix4x4.cpp.

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479 {
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480  if (n > 4)
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481  throw std::runtime_error("Dimension out of range! 0 <= n <= 4");
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482 
-
483  Matrix4x4 cofs;
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484 
-
485  std::size_t i = 0;
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486  std::size_t j = 0;
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487 
-
488  for (std::size_t y = 0; y < n; y++)
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489  for (std::size_t x = 0; x < n; x++)
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490  {
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491  if ((y != p) && (x != q))
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492  {
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493  cofs[i][j] = v[y][x];
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494  j++;
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495  }
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496 
-
497  if (j == n - 1)
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498  {
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499  j = 0;
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500  i++;
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501  }
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502  }
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503 
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504  return cofs;
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505 }
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◆ GetTranslationComponent()

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const Vector3d Matrix4x4::GetTranslationComponent () const
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Will return d,h,l as a Vector3d(x,y,z)

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Definition at line 407 of file Matrix4x4.cpp.

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408 {
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409  return Vector3d(d, h, l);
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410 }
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◆ Inverse3x3()

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Matrix4x4 Matrix4x4::Inverse3x3 () const
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Will return the 3x3-inverse of this matrix.

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- Meaning, the 3x3 component will be inverted, and the translation component will be negated

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Definition at line 558 of file Matrix4x4.cpp.

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559 {
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560  Matrix4x4 inv;
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561 
-
562  double det = Determinant(3);
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563  if (det == 0.0)
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564  throw std::runtime_error("Matrix3x3 not inversible!");
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565 
-
566  Matrix4x4 adj = Adjoint(3);
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567 
-
568  for (std::size_t i = 0; i < 3; i++)
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569  for (std::size_t j = 0; j < 3; j++)
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570  inv[i][j] = adj[i][j] / det;
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571 
-
572  inv.SetTranslationComponent(-GetTranslationComponent());
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573 
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574  return inv;
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575 }
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◆ Inverse4x4()

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Matrix4x4 Matrix4x4::Inverse4x4 () const
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Will return the full 4x4-inverse of this matrix.

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Definition at line 577 of file Matrix4x4.cpp.

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578 {
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579  Matrix4x4 inv;
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580 
-
581  double det = Determinant(4);
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582  if (det == 0.0)
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583  throw std::runtime_error("Matrix4x4 not inversible!");
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584 
-
585  Matrix4x4 adj = Adjoint(4);
-
586 
-
587  for (std::size_t i = 0; i < 4; i++)
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588  for (std::size_t j = 0; j < 4; j++)
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589  inv[i][j] = adj[i][j] / det;
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590 
-
591  return inv;
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592 }
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◆ IsInversible3x3()

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bool Matrix4x4::IsInversible3x3 () const
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Will check if the 3x3-component is inversible.

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Definition at line 598 of file Matrix4x4.cpp.

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599 {
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600  return (Determinant(3) != 0);
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601 }
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◆ IsInversible4x4()

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bool Matrix4x4::IsInversible4x4 () const
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Will check if the entire matrix is inversible.

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Definition at line 603 of file Matrix4x4.cpp.

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604 {
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605  return (Determinant(4) != 0);
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606 }
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◆ Multiply4x4()

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Matrix4x4 Matrix4x4::Multiply4x4 (const Matrix4x4 & o) const
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Will return the Matrix4x4 of an actual 4x4 multiplication. operator* only does a 3x3.

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Definition at line 451 of file Matrix4x4.cpp.

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452 {
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453  Matrix4x4 m;
-
454 
-
455  m[0][0] = (v[0][0]*o[0][0]) + (v[0][1]*o[1][0]) + (v[0][2]*o[2][0]) + (v[0][3]*o[3][0]);
-
456  m[0][1] = (v[0][0]*o[0][1]) + (v[0][1]*o[1][1]) + (v[0][2]*o[2][1]) + (v[0][3]*o[3][1]);
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457  m[0][2] = (v[0][0]*o[0][2]) + (v[0][1]*o[1][2]) + (v[0][2]*o[2][2]) + (v[0][3]*o[3][2]);
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458  m[0][3] = (v[0][0]*o[0][3]) + (v[0][1]*o[1][3]) + (v[0][2]*o[2][3]) + (v[0][3]*o[3][3]);
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459 
-
460  m[1][0] = (v[1][0]*o[0][0]) + (v[1][1]*o[1][0]) + (v[1][2]*o[2][0]) + (v[1][3]*o[3][0]);
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461  m[1][1] = (v[1][0]*o[0][1]) + (v[1][1]*o[1][1]) + (v[1][2]*o[2][1]) + (v[1][3]*o[3][1]);
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462  m[1][2] = (v[1][0]*o[0][2]) + (v[1][1]*o[1][2]) + (v[1][2]*o[2][2]) + (v[1][3]*o[3][2]);
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463  m[1][3] = (v[1][0]*o[0][3]) + (v[1][1]*o[1][3]) + (v[1][2]*o[2][3]) + (v[1][3]*o[3][3]);
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464 
-
465  m[2][0] = (v[2][0]*o[0][0]) + (v[2][1]*o[1][0]) + (v[2][2]*o[2][0]) + (v[2][3]*o[3][0]);
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466  m[2][1] = (v[2][0]*o[0][1]) + (v[2][1]*o[1][1]) + (v[2][2]*o[2][1]) + (v[2][3]*o[3][1]);
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467  m[2][2] = (v[2][0]*o[0][2]) + (v[2][1]*o[1][2]) + (v[2][2]*o[2][2]) + (v[2][3]*o[3][2]);
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468  m[2][3] = (v[2][0]*o[0][3]) + (v[2][1]*o[1][3]) + (v[2][2]*o[2][3]) + (v[2][3]*o[3][3]);
-
469 
-
470  m[3][0] = (v[3][0]*o[0][0]) + (v[3][1]*o[1][0]) + (v[3][2]*o[2][0]) + (v[3][3]*o[3][0]);
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471  m[3][1] = (v[3][0]*o[0][1]) + (v[3][1]*o[1][1]) + (v[3][2]*o[2][1]) + (v[3][3]*o[3][1]);
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472  m[3][2] = (v[3][0]*o[0][2]) + (v[3][1]*o[1][2]) + (v[3][2]*o[2][2]) + (v[3][3]*o[3][2]);
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473  m[3][3] = (v[3][0]*o[0][3]) + (v[3][1]*o[1][3]) + (v[3][2]*o[2][3]) + (v[3][3]*o[3][3]);
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474 
-
475  return m;
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476 }
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◆ operator!=()

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Definition at line 402 of file Matrix4x4.cpp.

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403 {
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404  return !operator==(other);
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405 }
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◆ operator*() [1/2]

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Matrix4x4 Matrix4x4::operator* (const double scalar) const
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Cellwise scaling.

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Definition at line 164 of file Matrix4x4.cpp.

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165 {
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166  Matrix4x4 m;
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167 
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168  #ifndef _EULE_NO_INTRINSICS_
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169 
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170  // Load matrix rows
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171  __m256d __row0 = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
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172  __m256d __row1 = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
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173  __m256d __row2 = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
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174  __m256d __row3 = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
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175 
-
176  // Load scalar
-
177  __m256d __scalar = _mm256_set1_pd(scalar);
-
178 
-
179  // Scale values
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180  __m256d __sr0 = _mm256_mul_pd(__row0, __scalar);
-
181  __m256d __sr1 = _mm256_mul_pd(__row1, __scalar);
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182  __m256d __sr2 = _mm256_mul_pd(__row2, __scalar);
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183  __m256d __sr3 = _mm256_mul_pd(__row3, __scalar);
-
184 
-
185  // Extract results
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186  _mm256_storeu_pd(m.v[0].data(), __sr0);
-
187  _mm256_storeu_pd(m.v[1].data(), __sr1);
-
188  _mm256_storeu_pd(m.v[2].data(), __sr2);
-
189  _mm256_storeu_pd(m.v[3].data(), __sr3);
-
190 
-
191  #else
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192 
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193  for (std::size_t x = 0; x < 4; x++)
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194  for (std::size_t y = 0; y < 4; y++)
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195  m[x][y] = v[x][y] * scalar;
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196 
-
197  #endif
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198 
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199  return m;
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200 }
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◆ operator*() [2/2]

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Definition at line 34 of file Matrix4x4.cpp.

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35 {
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36  Matrix4x4 newMatrix;
-
37  newMatrix.p = 1;
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38 
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39  #ifndef _EULE_NO_INTRINSICS_
-
40 
-
41 
-
42  /* <= Matrix3x3 multiplication => */
-
43 
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44  // Load matrix components
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45  __m256d __va1 = _mm256_set_pd(v[0][0], v[0][0], v[0][0], v[1][0]);
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46  __m256d __va2 = _mm256_set_pd(v[1][0], v[1][0], v[2][0], v[2][0]);
-
47 
-
48  __m256d __oa1 = _mm256_set_pd(other[0][0], other[0][1], other[0][2], other[0][0]);
-
49  __m256d __oa2 = _mm256_set_pd(other[0][1], other[0][2], other[0][0], other[0][1]);
-
50 
-
51  __m256d __vb1 = _mm256_set_pd(v[0][1], v[0][1], v[0][1], v[1][1]);
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52  __m256d __vb2 = _mm256_set_pd(v[1][1], v[1][1], v[2][1], v[2][1]);
-
53 
-
54  __m256d __ob1 = _mm256_set_pd(other[1][0], other[1][1], other[1][2], other[1][0]);
-
55  __m256d __ob2 = _mm256_set_pd(other[1][1], other[1][2], other[1][0], other[1][1]);
-
56 
-
57  __m256d __vc1 = _mm256_set_pd(v[0][2], v[0][2], v[0][2], v[1][2]);
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58  __m256d __vc2 = _mm256_set_pd(v[1][2], v[1][2], v[2][2], v[2][2]);
-
59 
-
60  __m256d __oc1 = _mm256_set_pd(other[2][0], other[2][1], other[2][2], other[2][0]);
-
61  __m256d __oc2 = _mm256_set_pd(other[2][1], other[2][2], other[2][0], other[2][1]);
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62 
-
63  // Initialize sums
-
64  __m256d __sum1 = _mm256_set1_pd(0);
-
65  __m256d __sum2 = _mm256_set1_pd(0);
-
66 
-
67  // Let's multiply-add them together
-
68  // First, the first block
-
69  __sum1 = _mm256_fmadd_pd(__va1, __oa1, __sum1);
-
70  __sum1 = _mm256_fmadd_pd(__vb1, __ob1, __sum1);
-
71  __sum1 = _mm256_fmadd_pd(__vc1, __oc1, __sum1);
-
72 
-
73  // Then the second block
-
74  __sum2 = _mm256_fmadd_pd(__va2, __oa2, __sum2);
-
75  __sum2 = _mm256_fmadd_pd(__vb2, __ob2, __sum2);
-
76  __sum2 = _mm256_fmadd_pd(__vc2, __oc2, __sum2);
-
77 
-
78  // Retrieve results
-
79  double sum1[4];
-
80  double sum2[4];
-
81 
-
82  _mm256_storeu_pd(sum1, __sum1);
-
83  _mm256_storeu_pd(sum2, __sum2);
-
84 
-
85  // Apply results
-
86  // Block 1
-
87  newMatrix[0][0] = sum1[3];
-
88  newMatrix[0][1] = sum1[2];
-
89  newMatrix[0][2] = sum1[1];
-
90  newMatrix[1][0] = sum1[0];
-
91 
-
92  // Block 2
-
93  newMatrix[1][1] = sum2[3];
-
94  newMatrix[1][2] = sum2[2];
-
95  newMatrix[2][0] = sum2[1];
-
96  newMatrix[2][1] = sum2[0];
-
97 
-
98  // Does not fit in the intrinsic calculation. Might just calculate 'by hand'.
-
99  newMatrix[2][2] = (v[2][0] * other[0][2]) + (v[2][1] * other[1][2]) + (v[2][2] * other[2][2]);
-
100 
-
101 
-
102  /* <= Translation component => */
-
103 
-
104  // Load translation components into registers
-
105  __m256d __transSelf = _mm256_set_pd(0, l, h, d);
-
106  __m256d __transOther = _mm256_set_pd(0, other.l, other.h, other.d);
-
107 
-
108  // Let's add them
-
109  __m256d __sum = _mm256_add_pd(__transSelf, __transOther);
-
110 
-
111  // Retrieve results
-
112  double sum[4];
-
113  _mm256_storeu_pd(sum, __sum);
-
114 
-
115  // Apply them
-
116  newMatrix.d = sum[0];
-
117  newMatrix.h = sum[1];
-
118  newMatrix.l = sum[2];
-
119 
-
120  #else
-
121 
-
122 
-
123  // Rotation, Scaling
-
124  newMatrix[0][0] = (v[0][0] * other[0][0]) + (v[0][1] * other[1][0]) + (v[0][2] * other[2][0]);
-
125  newMatrix[0][1] = (v[0][0] * other[0][1]) + (v[0][1] * other[1][1]) + (v[0][2] * other[2][1]);
-
126  newMatrix[0][2] = (v[0][0] * other[0][2]) + (v[0][1] * other[1][2]) + (v[0][2] * other[2][2]);
-
127 
-
128  newMatrix[1][0] = (v[1][0] * other[0][0]) + (v[1][1] * other[1][0]) + (v[1][2] * other[2][0]);
-
129  newMatrix[1][1] = (v[1][0] * other[0][1]) + (v[1][1] * other[1][1]) + (v[1][2] * other[2][1]);
-
130  newMatrix[1][2] = (v[1][0] * other[0][2]) + (v[1][1] * other[1][2]) + (v[1][2] * other[2][2]);
-
131 
-
132  newMatrix[2][0] = (v[2][0] * other[0][0]) + (v[2][1] * other[1][0]) + (v[2][2] * other[2][0]);
-
133  newMatrix[2][1] = (v[2][0] * other[0][1]) + (v[2][1] * other[1][1]) + (v[2][2] * other[2][1]);
-
134  newMatrix[2][2] = (v[2][0] * other[0][2]) + (v[2][1] * other[1][2]) + (v[2][2] * other[2][2]);
-
135 
-
136 
-
137  // Translation
-
138  newMatrix[0][3] = v[0][3] + other[0][3];
-
139  newMatrix[1][3] = v[1][3] + other[1][3];
-
140  newMatrix[2][3] = v[2][3] + other[2][3];
-
141 
-
142  #endif
-
143 
-
144  return newMatrix;
-
145 }
-
-
-
- -

◆ operator*=() [1/2]

- -
-
- - - - - - - - -
void Matrix4x4::operator*= (const double scalar)
-
- -

Cellwise scaling.

- -

Definition at line 202 of file Matrix4x4.cpp.

-
203 {
-
204  *this = *this * scalar;
-
205  return;
-
206 }
-
-
-
- -

◆ operator*=() [2/2]

- -
-
- - - - - - - - -
void Matrix4x4::operator*= (const Matrix4x4 & other)
-
- -

Definition at line 147 of file Matrix4x4.cpp.

-
148 {
-
149  *this = *this * other;
-
150  return;
-
151 }
-
-
-
- -

◆ operator+()

- -
-
- - - - - - - - -
Matrix4x4 Matrix4x4::operator+ (const Matrix4x4 & other) const
-
- -

Cellwise addition.

- -

Definition at line 221 of file Matrix4x4.cpp.

-
222 {
-
223  Matrix4x4 m;
-
224 
-
225  #ifndef _EULE_NO_INTRINSICS_
-
226 
-
227  // Load matrix rows
-
228  __m256d __row0a = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
-
229  __m256d __row1a = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
-
230  __m256d __row2a = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
-
231  __m256d __row3a = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
-
232 
-
233  __m256d __row0b = _mm256_set_pd(other[0][3], other[0][2], other[0][1], other[0][0]);
-
234  __m256d __row1b = _mm256_set_pd(other[1][3], other[1][2], other[1][1], other[1][0]);
-
235  __m256d __row2b = _mm256_set_pd(other[2][3], other[2][2], other[2][1], other[2][0]);
-
236  __m256d __row3b = _mm256_set_pd(other[3][3], other[3][2], other[3][1], other[3][0]);
-
237 
-
238  // Add rows
-
239  __m256d __sr0 = _mm256_add_pd(__row0a, __row0b);
-
240  __m256d __sr1 = _mm256_add_pd(__row1a, __row1b);
-
241  __m256d __sr2 = _mm256_add_pd(__row2a, __row2b);
-
242  __m256d __sr3 = _mm256_add_pd(__row3a, __row3b);
-
243 
-
244  // Extract results
-
245  _mm256_storeu_pd(m.v[0].data(), __sr0);
-
246  _mm256_storeu_pd(m.v[1].data(), __sr1);
-
247  _mm256_storeu_pd(m.v[2].data(), __sr2);
-
248  _mm256_storeu_pd(m.v[3].data(), __sr3);
-
249 
-
250  #else
-
251 
-
252  for (std::size_t x = 0; x < 4; x++)
-
253  for (std::size_t y = 0; y < 4; y++)
-
254  m[x][y] = v[x][y] + other[x][y];
-
255 
-
256  #endif
-
257 
-
258  return m;
-
259 }
-
-
-
- -

◆ operator+=()

- -
-
- - - - - - - - -
void Matrix4x4::operator+= (const Matrix4x4 & other)
-
- -

Cellwise addition.

- -

Definition at line 261 of file Matrix4x4.cpp.

-
262 {
-
263  #ifndef _EULE_NO_INTRINSICS_
-
264  // Doing it again is a tad directer, and thus faster. We avoid an intermittent Matrix4x4 instance
-
265 
-
266  // Load matrix rows
-
267  __m256d __row0a = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
-
268  __m256d __row1a = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
-
269  __m256d __row2a = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
-
270  __m256d __row3a = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
-
271 
-
272  __m256d __row0b = _mm256_set_pd(other[0][3], other[0][2], other[0][1], other[0][0]);
-
273  __m256d __row1b = _mm256_set_pd(other[1][3], other[1][2], other[1][1], other[1][0]);
-
274  __m256d __row2b = _mm256_set_pd(other[2][3], other[2][2], other[2][1], other[2][0]);
-
275  __m256d __row3b = _mm256_set_pd(other[3][3], other[3][2], other[3][1], other[3][0]);
-
276 
-
277  // Add rows
-
278  __m256d __sr0 = _mm256_add_pd(__row0a, __row0b);
-
279  __m256d __sr1 = _mm256_add_pd(__row1a, __row1b);
-
280  __m256d __sr2 = _mm256_add_pd(__row2a, __row2b);
-
281  __m256d __sr3 = _mm256_add_pd(__row3a, __row3b);
-
282 
-
283  // Extract results
-
284  _mm256_storeu_pd(v[0].data(), __sr0);
-
285  _mm256_storeu_pd(v[1].data(), __sr1);
-
286  _mm256_storeu_pd(v[2].data(), __sr2);
-
287  _mm256_storeu_pd(v[3].data(), __sr3);
-
288 
-
289  #else
-
290 
-
291  *this = *this + other;
-
292 
-
293  #endif
-
294 
-
295  return;
-
296 }
-
-
-
- -

◆ operator-()

- -
-
- - - - - - - - -
Matrix4x4 Matrix4x4::operator- (const Matrix4x4 & other) const
-
- -

Cellwise subtraction.

- -

Definition at line 298 of file Matrix4x4.cpp.

-
299 {
-
300  Matrix4x4 m;
-
301 
-
302  #ifndef _EULE_NO_INTRINSICS_
-
303 
-
304  // Load matrix rows
-
305  __m256d __row0a = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
-
306  __m256d __row1a = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
-
307  __m256d __row2a = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
-
308  __m256d __row3a = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
-
309 
-
310  __m256d __row0b = _mm256_set_pd(other[0][3], other[0][2], other[0][1], other[0][0]);
-
311  __m256d __row1b = _mm256_set_pd(other[1][3], other[1][2], other[1][1], other[1][0]);
-
312  __m256d __row2b = _mm256_set_pd(other[2][3], other[2][2], other[2][1], other[2][0]);
-
313  __m256d __row3b = _mm256_set_pd(other[3][3], other[3][2], other[3][1], other[3][0]);
-
314 
-
315  // Subtract rows
-
316  __m256d __sr0 = _mm256_sub_pd(__row0a, __row0b);
-
317  __m256d __sr1 = _mm256_sub_pd(__row1a, __row1b);
-
318  __m256d __sr2 = _mm256_sub_pd(__row2a, __row2b);
-
319  __m256d __sr3 = _mm256_sub_pd(__row3a, __row3b);
-
320 
-
321  // Extract results
-
322  _mm256_storeu_pd(m.v[0].data(), __sr0);
-
323  _mm256_storeu_pd(m.v[1].data(), __sr1);
-
324  _mm256_storeu_pd(m.v[2].data(), __sr2);
-
325  _mm256_storeu_pd(m.v[3].data(), __sr3);
-
326 
-
327  #else
-
328 
-
329  for (std::size_t x = 0; x < 4; x++)
-
330  for (std::size_t y = 0; y < 4; y++)
-
331  m[x][y] = v[x][y] - other[x][y];
-
332 
-
333  #endif
-
334 
-
335  return m;
-
336 }
-
-
-
- -

◆ operator-=()

- -
-
- - - - - - - - -
void Matrix4x4::operator-= (const Matrix4x4 & other)
-
- -

Cellwise subtraction.

- -

Definition at line 338 of file Matrix4x4.cpp.

-
339 {
-
340  #ifndef _EULE_NO_INTRINSICS_
-
341  // Doing it again is a tad directer, and thus faster. We avoid an intermittent Matrix4x4 instance
-
342 
-
343  // Load matrix rows
-
344  __m256d __row0a = _mm256_set_pd(v[0][3], v[0][2], v[0][1], v[0][0]);
-
345  __m256d __row1a = _mm256_set_pd(v[1][3], v[1][2], v[1][1], v[1][0]);
-
346  __m256d __row2a = _mm256_set_pd(v[2][3], v[2][2], v[2][1], v[2][0]);
-
347  __m256d __row3a = _mm256_set_pd(v[3][3], v[3][2], v[3][1], v[3][0]);
-
348 
-
349  __m256d __row0b = _mm256_set_pd(other[0][3], other[0][2], other[0][1], other[0][0]);
-
350  __m256d __row1b = _mm256_set_pd(other[1][3], other[1][2], other[1][1], other[1][0]);
-
351  __m256d __row2b = _mm256_set_pd(other[2][3], other[2][2], other[2][1], other[2][0]);
-
352  __m256d __row3b = _mm256_set_pd(other[3][3], other[3][2], other[3][1], other[3][0]);
-
353 
-
354  // Subtract rows
-
355  __m256d __sr0 = _mm256_sub_pd(__row0a, __row0b);
-
356  __m256d __sr1 = _mm256_sub_pd(__row1a, __row1b);
-
357  __m256d __sr2 = _mm256_sub_pd(__row2a, __row2b);
-
358  __m256d __sr3 = _mm256_sub_pd(__row3a, __row3b);
-
359 
-
360  // Extract results
-
361  _mm256_storeu_pd(v[0].data(), __sr0);
-
362  _mm256_storeu_pd(v[1].data(), __sr1);
-
363  _mm256_storeu_pd(v[2].data(), __sr2);
-
364  _mm256_storeu_pd(v[3].data(), __sr3);
-
365 
-
366  #else
-
367 
-
368  * this = *this - other;
-
369 
-
370  #endif
-
371 
-
372  return;
-
373 }
-
-
-
- -

◆ operator/() [1/2]

- -
-
- - - - - - - - -
Matrix4x4 Matrix4x4::operator/ (const double denominator) const
-
- -

Cellwise division.

- -

Definition at line 208 of file Matrix4x4.cpp.

-
209 {
-
210  const double precomputeDivision = 1.0 / denominator;
-
211 
-
212  return *this * precomputeDivision;
-
213 }
-
-
-
- -

◆ operator/() [2/2]

- -
-
- - - - - - - - -
Matrix4x4 Matrix4x4::operator/ (const Matrix4x4 & other) const
-
- -

Definition at line 153 of file Matrix4x4.cpp.

-
154 {
-
155  return *this * other.Inverse3x3();
-
156 }
-
-
-
- -

◆ operator/=() [1/2]

- -
-
- - - - - - - - -
void Matrix4x4::operator/= (const double denominator)
-
- -

Cellwise division.

- -

Definition at line 215 of file Matrix4x4.cpp.

-
216 {
-
217  *this = *this / denominator;
-
218  return;
-
219 }
-
-
-
- -

◆ operator/=() [2/2]

- -
-
- - - - - - - - -
void Matrix4x4::operator/= (const Matrix4x4 & other)
-
- -

Definition at line 158 of file Matrix4x4.cpp.

-
159 {
-
160  *this = *this * other.Inverse3x3();
-
161  return;
-
162 }
-
-
-
- -

◆ operator=() [1/2]

- -
-
- - - - - - - - -
void Matrix4x4::operator= (const Matrix4x4 & other)
-
- -

Definition at line 385 of file Matrix4x4.cpp.

-
386 {
-
387  v = other.v;
-
388  return;
-
389 }
-
-
-
- -

◆ operator=() [2/2]

- -
-
- - - - - -
- - - - - - - - -
void Matrix4x4::operator= (Matrix4x4 && other)
- 		-noexcept
-
- -

Definition at line 391 of file Matrix4x4.cpp.

-
392 {
-
393  v = std::move(other.v);
-
394  return;
-
395 }
-
-
-
- -

◆ operator==()

- -
-
- - - - - - - - -
bool Matrix4x4::operator== (const Matrix4x4 & other)
-
- -

Definition at line 397 of file Matrix4x4.cpp.

-
398 {
-
399  return v == other.v;
-
400 }
-
-
-
- -

◆ operator[]() [1/2]

- -
-
- - - - - - - - -
std::array< double, 4 > & Matrix4x4::operator[] (std::size_t y)
-
- -

Definition at line 375 of file Matrix4x4.cpp.

-
376 {
-
377  return v[y];
-
378 }
-
-
-
- -

◆ operator[]() [2/2]

- -
-
- - - - - - - - -
const std::array< double, 4 > & Matrix4x4::operator[] (std::size_t y) const
-
- -

Definition at line 380 of file Matrix4x4.cpp.

-
381 {
-
382  return v[y];
-
383 }
-
-
-
- -

◆ SetTranslationComponent()

- -
-
- - - - - - - - -
void Matrix4x4::SetTranslationComponent (const Vector3d & trans)
-
- -

Will set d,h,l from a Vector3d(x,y,z)

- -

Definition at line 412 of file Matrix4x4.cpp.

-
413 {
-
414  d = trans.x;
-
415  h = trans.y;
-
416  l = trans.z;
-
417  return;
-
418 }
-
-
-
- -

◆ Similar()

- -
-
- - - - - - - - - - - - - - - - - - -
bool Matrix4x4::Similar (const Matrix4x4 & other,
double epsilon = 0.00001 
) const
-
- -

Will compare if two matrices are similar to a certain epsilon value.

- -

Definition at line 608 of file Matrix4x4.cpp.

-
609 {
-
610  for (std::size_t i = 0; i < 4; i++)
-
611  for (std::size_t j = 0; j < 4; j++)
-
612  if (!Math::Similar(v[i][j], other[i][j], epsilon))
-
613  return false;
-
614 
-
615  return true;
-
616 }
-
-
-
- -

◆ Transpose3x3()

- -
-
- - - - - - - -
Matrix4x4 Matrix4x4::Transpose3x3 () const
-
- -

Will return the 3x3 transpose of this matrix.

- -

Definition at line 429 of file Matrix4x4.cpp.

-
430 {
-
431  Matrix4x4 trans(*this); // Keep other cells
-
432 
-
433  for (std::size_t i = 0; i < 3; i++)
-
434  for (std::size_t j = 0; j < 3; j++)
-
435  trans[j][i] = v[i][j];
-
436 
-
437  return trans;
-
438 }
-
-
-
- -

◆ Transpose4x4()

- -
-
- - - - - - - -
Matrix4x4 Matrix4x4::Transpose4x4 () const
-
- -

Will return the 4x4 transpose of this matrix.

- -

Definition at line 440 of file Matrix4x4.cpp.

-
441 {
-
442  Matrix4x4 trans;
-
443 
-
444  for (std::size_t i = 0; i < 4; i++)
-
445  for (std::size_t j = 0; j < 4; j++)
-
446  trans[j][i] = v[i][j];
-
447 
-
448  return trans;
-
449 }
-
-
-
-

Friends And Related Function Documentation

- -

◆ operator<< [1/2]

- -
-
- - - - - -
- - - - - - - - - - - - - - - - - - -
std::ostream& operator<< (std::ostream & os,
const Matrix4x4 & m 
)
- 		-friend
-
- -

Definition at line 620 of file Matrix4x4.cpp.

-
621  {
-
622  os << std::endl;
-
623 
-
624  for (std::size_t y = 0; y < 4; y++)
-
625  {
-
626  for (std::size_t x = 0; x < 4; x++)
-
627  os << " | " << m[y][x];
-
628 
-
629  os << " |" << std::endl;
-
630  }
-
631 
-
632  return os;
-
633  }
-
-
-
- -

◆ operator<< [2/2]

- -
-
- - - - - -
- - - - - - - - - - - - - - - - - - -
std::wostream& operator<< (std::wostream & os,
const Matrix4x4 & m 
)
- 		-friend
-
- -

Definition at line 635 of file Matrix4x4.cpp.

-
636  {
-
637  os << std::endl;
-
638 
-
639  for (std::size_t y = 0; y < 4; y++)
-
640  {
-
641  for (std::size_t x = 0; x < 4; x++)
-
642  os << L" | " << m[y][x];
-
643 
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644  os << L" |" << std::endl;
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645  }
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647  return os;
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648  }
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Definition at line 142 of file Matrix4x4.h.

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Definition at line 143 of file Matrix4x4.h.

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Array holding the matrices values.

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Definition at line 44 of file Matrix4x4.h.

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Eule::Matrix4x4::j
double & j
Definition: Matrix4x4.h:137
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Eule::Matrix4x4::Adjoint
Matrix4x4 Adjoint(std::size_t n) const
Will return the adjoint of this matrix, by dimension n.
Definition: Matrix4x4.cpp:533
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Eule::Matrix4x4::operator==
bool operator==(const Matrix4x4 &other)
Definition: Matrix4x4.cpp:397
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double & i
Definition: Matrix4x4.h:136
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double & e
Definition: Matrix4x4.h:132
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double & f
Definition: Matrix4x4.h:133
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Eule::Matrix4x4::Inverse3x3
Matrix4x4 Inverse3x3() const
Will return the 3x3-inverse of this matrix.
Definition: Matrix4x4.cpp:558
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double & k
Definition: Matrix4x4.h:138
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Eule::Matrix4x4::v
std::array< std::array< double, 4 >, 4 > v
Array holding the matrices values.
Definition: Matrix4x4.h:44
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Eule::Vector3d
Vector3< double > Vector3d
Definition: Matrix4x4.h:9
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Eule::Vector3::z
T z
Definition: Vector3.h:96
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Eule::Matrix4x4
A matrix 4x4 class representing a 3d transformation.
Definition: Matrix4x4.h:36
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Eule::Matrix4x4::b
double & b
Definition: Matrix4x4.h:129
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Eule::Matrix4x4::g
double & g
Definition: Matrix4x4.h:134
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Eule::Vector3::x
T x
Definition: Vector3.h:94
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Eule::Matrix4x4::p
double & p
Definition: Matrix4x4.h:143
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Eule::Math::Similar
static constexpr bool Similar(const double a, const double b, const double epsilon=0.00001)
Compares two double values with a given accuracy.
Definition: Math.h:102
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Eule::Matrix4x4::l
double & l
Definition: Matrix4x4.h:139
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Eule::Matrix4x4::Determinant
double Determinant(std::size_t n) const
Will return the determinant, by dimension n.
Definition: Matrix4x4.cpp:511
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Eule::Matrix4x4::SetTranslationComponent
void SetTranslationComponent(const Vector3d &trans)
Will set d,h,l from a Vector3d(x,y,z)
Definition: Matrix4x4.cpp:412
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double & c
Definition: Matrix4x4.h:130
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Eule::Matrix4x4::o
double & o
Definition: Matrix4x4.h:142
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Eule::Matrix4x4::a
double & a
Definition: Matrix4x4.h:128
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Eule::Matrix4x4::m
double & m
Definition: Matrix4x4.h:140
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Eule::Matrix4x4::GetCofactors
Matrix4x4 GetCofactors(std::size_t p, std::size_t q, std::size_t n) const
Will return the cofactors of this matrix, by dimension n.
Definition: Matrix4x4.cpp:478
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Eule::Matrix4x4::GetTranslationComponent
const Vector3d GetTranslationComponent() const
Will return d,h,l as a Vector3d(x,y,z)
Definition: Matrix4x4.cpp:407
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double & n
Definition: Matrix4x4.h:141
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Definition: Matrix4x4.h:135
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double & d
Definition: Matrix4x4.h:131
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Eule::Vector3::y
T y
Definition: Vector3.h:95
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Homemade math library, mainly targetted towards computer graphics
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Eule::Quaternion Member List
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This is the complete list of members for Eule::Quaternion, including all inherited members.

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AngleBetween(const Quaternion &other) constEule::Quaternion
Conjugate() constEule::Quaternion
GetRawValues() constEule::Quaternion
Inverse() constEule::Quaternion
Lerp(const Quaternion &other, double t) constEule::Quaternion
operator!=(const Quaternion &q) constEule::Quaternion
operator*(const Quaternion &q) constEule::Quaternion
operator*(const Vector3d &p) constEule::Quaternion
operator*=(const Quaternion &q)Eule::Quaternion
operator/(Quaternion &q) constEule::Quaternion
operator/=(const Quaternion &q)Eule::Quaternion
operator<<(std::ostream &os, const Quaternion &q)Eule::Quaternionfriend
operator<<(std::wostream &os, const Quaternion &q)Eule::Quaternionfriend
operator=(const Quaternion &q)Eule::Quaternion
operator==(const Quaternion &q) constEule::Quaternion
Quaternion()Eule::Quaternion
Quaternion(const Vector4d values)Eule::Quaternionexplicit
Quaternion(const Quaternion &q)Eule::Quaternion
Quaternion(const Vector3d eulerAngles)Eule::Quaternion
RotateVector(const Vector3d &vec) constEule::Quaternion
SetRawValues(const Vector4d values)Eule::Quaternion
ToEulerAngles() constEule::Quaternion
ToRotationMatrix() constEule::Quaternion
UnitQuaternion() constEule::Quaternion
~Quaternion()Eule::Quaternion
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Homemade math library, mainly targetted towards computer graphics
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-Public Member Functions | -Friends | -List of all members
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Eule::Quaternion Class Reference
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3D rotation representation - More...

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#include <Quaternion.h>

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-Public Member Functions

 Quaternion ()
 
 Quaternion (const Vector4d values)
 Constructs by these raw values. More...
 
 Quaternion (const Quaternion &q)
 Copies this existing Quaternion. More...
 
 Quaternion (const Vector3d eulerAngles)
 Creates an quaternion from euler angles. More...
 
 ~Quaternion ()
 
Quaternion operator= (const Quaternion &q)
 Copies. More...
 
Quaternion operator* (const Quaternion &q) const
 Multiplies (applies) More...
 
Quaternion operator/ (Quaternion &q) const
 Divides (applies) More...
 
Quaternion & operator*= (const Quaternion &q)
 Also multiplies. More...
 
Quaternion & operator/= (const Quaternion &q)
 Also divides. More...
 
Vector3d operator* (const Vector3d &p) const
 Will transform a 3d point around its origin. More...
 
bool operator== (const Quaternion &q) const
 
bool operator!= (const Quaternion &q) const
 
Quaternion Inverse () const
 
Quaternion Conjugate () const
 
Quaternion UnitQuaternion () const
 
Vector3d RotateVector (const Vector3d &vec) const
 Will rotate a vector by this quaternion. More...
 
Vector3d ToEulerAngles () const
 Will return euler angles representing this Quaternion's rotation. More...
 
Matrix4x4 ToRotationMatrix () const
 Will return a rotation matrix representing this Quaternions rotation. More...
 
Vector4d GetRawValues () const
 Will return the raw four-dimensional values. More...
 
Quaternion AngleBetween (const Quaternion &other) const
 Will return the value between two Quaternion's as another Quaternion. More...
 
void SetRawValues (const Vector4d values)
 Will set the raw four-dimensional values. More...
 
Quaternion Lerp (const Quaternion &other, double t) const
 Will return the lerp result between two quaternions. More...
 
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-Friends

std::ostream & operator<< (std::ostream &os, const Quaternion &q)
 
std::wostream & operator<< (std::wostream &os, const Quaternion &q)
 
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Detailed Description

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3D rotation representation

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Definition at line 10 of file Quaternion.h.

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Constructor & Destructor Documentation

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◆ Quaternion() [1/4]

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Quaternion::Quaternion ()
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Definition at line 11 of file Quaternion.cpp.

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12 {
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13  v = Vector4d(0, 0, 0, 1);
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14  return;
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◆ Quaternion() [2/4]

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Constructs by these raw values.

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Definition at line 17 of file Quaternion.cpp.

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18 {
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19  v = values;
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20  return;
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◆ Quaternion() [3/4]

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Quaternion::Quaternion (const Quaternion & q)
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Copies this existing Quaternion.

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Definition at line 23 of file Quaternion.cpp.

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24 {
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25  v = q.v;
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26  return;
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27 }
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◆ Quaternion() [4/4]

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Quaternion::Quaternion (const Vector3d eulerAngles)
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Creates an quaternion from euler angles.

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Definition at line 29 of file Quaternion.cpp.

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30 {
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31  Vector3d eulerRad = eulerAngles * Deg2Rad;
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32 
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33  #ifndef _EULE_NO_INTRINSICS_
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34 
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35  // Calculate sine and cos values
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36  __m256d __vec = _mm256_set_pd(0, eulerRad.z, eulerRad.y, eulerRad.x);
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37  __vec = _mm256_mul_pd(__vec, _mm256_set1_pd(0.5));
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38  __m256d __cos;
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39  __m256d __sin = _mm256_sincos_pd(&__cos, __vec);
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40 
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41  // Create multiplication vectors
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42  double sin[4];
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43  double cos[4];
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44 
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45  _mm256_storeu_pd(sin, __sin);
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46  _mm256_storeu_pd(cos, __cos);
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47 
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48  __m256d __a = _mm256_set_pd(cos[0], cos[0], sin[0], cos[0]);
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49  __m256d __b = _mm256_set_pd(cos[1], sin[1], cos[1], cos[1]);
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50  __m256d __c = _mm256_set_pd(sin[2], cos[2], cos[2], cos[2]);
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51 
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52  __m256d __d = _mm256_set_pd(sin[0], sin[0], cos[0], sin[0]);
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53  __m256d __e = _mm256_set_pd(sin[1], cos[1], sin[1], sin[1]);
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54  __m256d __f = _mm256_set_pd(cos[2], sin[2], sin[2], sin[2]);
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55 
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56  // Multiply them
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57  __m256d __abc;
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58  __abc = _mm256_mul_pd(__a, __b);
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59  __abc = _mm256_mul_pd(__abc, __c);
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60 
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61  __m256d __def;
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62  __def = _mm256_mul_pd(__d, __e);
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63  __def = _mm256_mul_pd(__def, __f);
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64 
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65  // Extract results
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66  double abc[4];
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67  double def[4];
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68 
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69  _mm256_storeu_pd(abc, __abc);
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70  _mm256_storeu_pd(def, __def);
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71 
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72  // Sum them up
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73  v.w = abc[0] + def[0];
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74  v.x = abc[1] - def[1];
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75  v.y = abc[2] + def[2];
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76  v.z = abc[3] - def[3];
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77 
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78  #else
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79 
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80  const double cy = cos(eulerRad.z * 0.5);
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81  const double sy = sin(eulerRad.z * 0.5);
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82  const double cp = cos(eulerRad.y * 0.5);
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83  const double sp = sin(eulerRad.y * 0.5);
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84  const double cr = cos(eulerRad.x * 0.5);
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85  const double sr = sin(eulerRad.x * 0.5);
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86 
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87  v.w = cr * cp * cy + sr * sp * sy;
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88  v.x = sr * cp * cy - cr * sp * sy;
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89  v.y = cr * sp * cy + sr * cp * sy;
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90  v.z = cr * cp * sy - sr * sp * cy;
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92  #endif
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93 
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94  return;
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95 }
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◆ ~Quaternion()

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Quaternion::~Quaternion ()
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Definition at line 97 of file Quaternion.cpp.

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◆ AngleBetween()

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Quaternion Quaternion::AngleBetween (const Quaternion & other) const
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Will return the value between two Quaternion's as another Quaternion.

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Definition at line 295 of file Quaternion.cpp.

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296 {
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297  return other * Conjugate();
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Definition at line 187 of file Quaternion.cpp.

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188 {
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189  return Quaternion(Vector4d(-v.x, -v.y, -v.z, v.w));
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Definition at line 290 of file Quaternion.cpp.

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Definition at line 175 of file Quaternion.cpp.

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176 {
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177  if (!isCacheUpToDate_inverse)
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178  {
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179  cache_inverse = (Conjugate() * (1.0 / v.SqrMagnitude())).v;
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180 
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181  isCacheUpToDate_inverse = true;
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182  }
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184  return Quaternion(cache_inverse);
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Will return the lerp result between two quaternions.

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Definition at line 309 of file Quaternion.cpp.

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310 {
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311  return Quaternion(v.Lerp(other.v, t)).UnitQuaternion();
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Definition at line 170 of file Quaternion.cpp.

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171 {
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172  return (!v.Similar(q.v)) && (!v.Similar(q.v * -1));
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Quaternion Quaternion::operator* (const Quaternion & q) const
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Definition at line 111 of file Quaternion.cpp.

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112 {
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113  return Quaternion(Vector4d(
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114  v.w * q.v.x + v.x * q.v.w + v.y * q.v.z - v.z * q.v.y,
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115  v.w * q.v.y + v.y * q.v.w + v.z * q.v.x - v.x * q.v.z,
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116  v.w * q.v.z + v.z * q.v.w + v.x * q.v.y - v.y * q.v.x,
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117  v.w * q.v.w - v.x * q.v.x - v.y * q.v.y - v.z * q.v.z
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Will transform a 3d point around its origin.

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Definition at line 160 of file Quaternion.cpp.

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Also multiplies.

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Definition at line 131 of file Quaternion.cpp.

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132 {
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133  InvalidateCache();
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134 
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135  Vector4d bufr = v;
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136  v.x = bufr.w * q.v.x + bufr.x * q.v.w + bufr.y * q.v.z - bufr.z * q.v.y; // x
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137  v.y = bufr.w * q.v.y + bufr.y * q.v.w + bufr.z * q.v.x - bufr.x * q.v.z; // y
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138  v.z = bufr.w * q.v.z + bufr.z * q.v.w + bufr.x * q.v.y - bufr.y * q.v.x; // z
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139  v.w = bufr.w * q.v.w - bufr.x * q.v.x - bufr.y * q.v.y - bufr.z * q.v.z; // w
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Definition at line 126 of file Quaternion.cpp.

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127 {
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128  return ((*this) * (q.Inverse()));
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Also divides.

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Definition at line 152 of file Quaternion.cpp.

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153 {
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154  InvalidateCache();
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155 
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156  (*this) = (*this) * q.Inverse();
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157  return (*this);
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Copies.

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Definition at line 102 of file Quaternion.cpp.

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103 {
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104  InvalidateCache();
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Definition at line 165 of file Quaternion.cpp.

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167  return (v.Similar(q.v)) || (v.Similar(q.v * -1));
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Will rotate a vector by this quaternion.

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Definition at line 197 of file Quaternion.cpp.

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198 {
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199  Quaternion pure(Vector4d(vec.x, vec.y, vec.z, 0));
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201  //Quaternion f = Conjugate() * pure * (*this);
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202  //Quaternion f = Inverse().Conjugate() * pure * (this->Inverse());
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203 
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204 
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205  Quaternion f = Inverse() * pure * (*this);
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206 
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207  Vector3d toRet;
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208  toRet.x = f.v.x;
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209  toRet.y = f.v.y;
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210  toRet.z = f.v.z;
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212  return toRet;
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Definition at line 300 of file Quaternion.cpp.

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302  InvalidateCache();
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304  v = values;
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Will return euler angles representing this Quaternion's rotation.

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Definition at line 215 of file Quaternion.cpp.

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216 {
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217  if (!isCacheUpToDate_euler)
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218  {
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219  Vector3d euler;
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220  // roll (x-axis rotation)
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221  double sinr_cosp = 2.0 * (v.w * v.x + v.y * v.z);
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222  double cosr_cosp = 1.0 - 2.0 * (v.x * v.x + v.y * v.y);
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223  euler.x = std::atan2(sinr_cosp, cosr_cosp);
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225  // pitch (y-axis rotation)
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226  double sinp = 2.0 * (v.w * v.y - v.z * v.x);
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227  if (std::abs(sinp) >= 1)
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228  euler.y = std::copysign(PI / 2, sinp); // use 90 degrees if out of range
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229  else
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230  euler.y = std::asin(sinp);
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231 
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232  // yaw (z-axis rotation)
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233  double siny_cosp = 2.0 * (v.w * v.z + v.x * v.y);
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234  double cosy_cosp = 1.0 - 2.0 * (v.y * v.y + v.z * v.z);
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235  euler.z = std::atan2(siny_cosp, cosy_cosp);
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237  euler *= Rad2Deg;
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238 
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239  cache_euler = euler;
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240  isCacheUpToDate_matrix = true;
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241  }
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243  return cache_euler;
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Will return a rotation matrix representing this Quaternions rotation.

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Definition at line 246 of file Quaternion.cpp.

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247 {
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248  if (!isCacheUpToDate_matrix)
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249  {
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250  Matrix4x4 m;
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251 
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252  const double sqx = v.x * v.x;
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253  const double sqy = v.y * v.y;
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254  const double sqz = v.z * v.z;
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255  const double sqw = v.w * v.w;
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256  const double x = v.x;
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257  const double y = v.y;
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258  const double z = v.z;
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259  const double w = v.w;
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260 
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261  // invs (inverse square length) is only required if quaternion is not already normalised
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262  double invs = 1.0 / (sqx + sqy + sqz + sqw);
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263 
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264  // since sqw + sqx + sqy + sqz =1/invs*invs
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265 
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266  // yaw (y)
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267  m.c = ((2 * x * z) - (2 * w * y)) * invs;
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268  m.f = (1 - (2 * sqx) - (2 * sqz)) * invs;
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269  m.i = ((2 * x * z) + (2 * w * y)) * invs;
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270 
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271  // pitch (x)
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272  m.a = (1 - (2 * sqy) - (2 * sqz)) * invs;
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273  m.g = ((2 * y * z) + (2 * w * x)) * invs;
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274  m.j = ((2 * y * z) - (2 * w * x)) * invs;
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275 
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276  // roll (z)
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277  m.b = ((2 * x * v.y) + (2 * w * z)) * invs;
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278  m.e = ((2 * x * v.y) - (2 * w * z)) * invs;
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279  m.k = (1 - (2 * sqx) - (2 * sqy)) * invs;
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280 
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281  m.p = 1;
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282 
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283  cache_matrix = m;
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284  isCacheUpToDate_matrix = true;
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285  }
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287  return cache_matrix;
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Definition at line 192 of file Quaternion.cpp.

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193 {
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194  return (*this) * (1.0 / v.Magnitude());
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Friends And Related Function Documentation

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326  {
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327  os << "[" << q.v << "]";
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332  {
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333  os << L"[" << q.v << L"]";
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334  return os;
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Eule::Matrix4x4::j
double & j
Definition: Matrix4x4.h:137
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PI
static constexpr double PI
Pi up to 50 decimal places.
Definition: Constants.h:6
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Vector4< double > Vector4d
Definition: Vector4.h:107
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Definition: Matrix4x4.h:133
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Deg2Rad
static constexpr double Deg2Rad
Factor to convert degrees to radians.
Definition: Constants.h:12
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Definition: Matrix4x4.h:138
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Vector4< double > Lerp(const Vector4< T > &other, double t) const
Will return a lerp result between this and another vector.
Definition: Vector4.cpp:287
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T w
Definition: Vector4.h:91
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Eule::Vector3::z
T z
Definition: Vector3.h:96
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Eule::Matrix4x4
A matrix 4x4 class representing a 3d transformation.
Definition: Matrix4x4.h:36
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Eule::Vector4::Similar
bool Similar(const Vector4< T > &other, double epsilon=0.00001) const
Will compare if two vectors are similar to a certain epsilon value.
Definition: Vector4.cpp:162
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double & b
Definition: Matrix4x4.h:129
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double Magnitude() const
Will compute the magnitude.
Definition: Vector4.cpp:38
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double & g
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double & p
Definition: Matrix4x4.h:143
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Vector3d RotateVector(const Vector3d &vec) const
Will rotate a vector by this quaternion.
Definition: Quaternion.cpp:197
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double SqrMagnitude() const
Will compute the square magnitude.
Definition: Vector4.cpp:31
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Eule::Quaternion::Quaternion
Quaternion()
Definition: Quaternion.cpp:11
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Rad2Deg
static constexpr double Rad2Deg
Factor to convert radians to degrees.
Definition: Constants.h:15
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Eule::Quaternion::Conjugate
Quaternion Conjugate() const
Definition: Quaternion.cpp:187
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Quaternion Inverse() const
Definition: Quaternion.cpp:175
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double & c
Definition: Matrix4x4.h:130
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Eule::Quaternion
3D rotation representation
Definition: Quaternion.h:10
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Representation of a 4d vector.
Definition: Vector2.h:8
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Eule::TrapazoidalPrismCollider Member List
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This is the complete list of members for Eule::TrapazoidalPrismCollider, including all inherited members.

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BACKEule::TrapazoidalPrismColliderstatic
BOTTOMEule::TrapazoidalPrismColliderstatic
Contains(const Vector3d &point) const overrideEule::TrapazoidalPrismCollidervirtual
FRONTEule::TrapazoidalPrismColliderstatic
GetVertex(std::size_t index) constEule::TrapazoidalPrismCollider
LEFTEule::TrapazoidalPrismColliderstatic
operator=(const TrapazoidalPrismCollider &other)Eule::TrapazoidalPrismCollider
operator=(TrapazoidalPrismCollider &&other) noexceptEule::TrapazoidalPrismCollider
RIGHTEule::TrapazoidalPrismColliderstatic
SetVertex(std::size_t index, const Vector3d value)Eule::TrapazoidalPrismCollider
TOPEule::TrapazoidalPrismColliderstatic
TrapazoidalPrismCollider()Eule::TrapazoidalPrismCollider
TrapazoidalPrismCollider(const TrapazoidalPrismCollider &other)=defaultEule::TrapazoidalPrismCollider
TrapazoidalPrismCollider(TrapazoidalPrismCollider &&other) noexcept=defaultEule::TrapazoidalPrismCollider
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Homemade math library, mainly targetted towards computer graphics
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-Public Member Functions | -Static Public Attributes | -List of all members
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Eule::TrapazoidalPrismCollider Class Reference
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A collider describing a trapazoidal prism. - More...

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#include <TrapazoidalPrismCollider.h>

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-Public Member Functions

 TrapazoidalPrismCollider ()
 
 TrapazoidalPrismCollider (const TrapazoidalPrismCollider &other)=default
 
 TrapazoidalPrismCollider (TrapazoidalPrismCollider &&other) noexcept=default
 
void operator= (const TrapazoidalPrismCollider &other)
 
void operator= (TrapazoidalPrismCollider &&other) noexcept
 
const Vector3d & GetVertex (std::size_t index) const
 Will return a specific vertex. More...
 
void SetVertex (std::size_t index, const Vector3d value)
 Will set the value of a specific vertex. More...
 
bool Contains (const Vector3d &point) const override
 Tests, if this Collider contains a point. More...
 
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-Static Public Attributes

static constexpr std::size_t BACK = 0
 
static constexpr std::size_t FRONT = 4
 
static constexpr std::size_t LEFT = 0
 
static constexpr std::size_t RIGHT = 2
 
static constexpr std::size_t BOTTOM = 0
 
static constexpr std::size_t TOP = 1
 
-

Detailed Description

-

A collider describing a trapazoidal prism.

-

A trapazoidal prism is basically a box, but each vertex can be manipulated individually, altering the angles between faces. Distorting a 2d face into 3d space will result in undefined behaviour. Each face should stay flat, relative to itself. This shape is based on QUADS!

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Definition at line 13 of file TrapazoidalPrismCollider.h.

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Constructor & Destructor Documentation

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◆ TrapazoidalPrismCollider() [1/3]

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TrapazoidalPrismCollider::TrapazoidalPrismCollider ()
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Definition at line 5 of file TrapazoidalPrismCollider.cpp.

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◆ TrapazoidalPrismCollider() [2/3]

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Eule::TrapazoidalPrismCollider::TrapazoidalPrismCollider (const TrapazoidalPrismCollider & other)
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◆ TrapazoidalPrismCollider() [3/3]

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Member Function Documentation

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◆ Contains()

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bool TrapazoidalPrismCollider::Contains (const Vector3d & point) const
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Tests, if this Collider contains a point.

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Implements Eule::Collider.

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Definition at line 103 of file TrapazoidalPrismCollider.cpp.

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104 {
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105  for (std::size_t i = 0; i < 6; i++)
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106  if (FaceDot((FACE_NORMALS)i, point) < 0)
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107  return false;
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108 
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109  return true;
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110 }
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◆ GetVertex()

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const Vector3d & TrapazoidalPrismCollider::GetVertex (std::size_t index) const
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Will return a specific vertex.

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Definition at line 26 of file TrapazoidalPrismCollider.cpp.

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27 {
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28  return vertices[index];
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29 }
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◆ operator=() [1/2]

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void TrapazoidalPrismCollider::operator= (const TrapazoidalPrismCollider & other)
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Definition at line 10 of file TrapazoidalPrismCollider.cpp.

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11 {
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12  vertices = other.vertices;
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13  faceNormals = other.faceNormals;
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Definition at line 18 of file TrapazoidalPrismCollider.cpp.

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19 {
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20  vertices = std::move(other.vertices);
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21  faceNormals = std::move(other.faceNormals);
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◆ SetVertex()

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void TrapazoidalPrismCollider::SetVertex (std::size_t index,
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Will set the value of a specific vertex.

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Definition at line 31 of file TrapazoidalPrismCollider.cpp.

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32 {
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33  vertices[index] = value;
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34  GenerateNormalsFromVertices();
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35  return;
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36 }
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Member Data Documentation

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◆ BACK

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constexpr std::size_t Eule::TrapazoidalPrismCollider::BACK = 0
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Definition at line 32 of file TrapazoidalPrismCollider.h.

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◆ BOTTOM

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Definition at line 36 of file TrapazoidalPrismCollider.h.

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◆ FRONT

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Definition at line 33 of file TrapazoidalPrismCollider.h.

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◆ LEFT

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constexpr std::size_t Eule::TrapazoidalPrismCollider::LEFT = 0
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Definition at line 34 of file TrapazoidalPrismCollider.h.

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◆ RIGHT

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constexpr std::size_t Eule::TrapazoidalPrismCollider::RIGHT = 2
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Definition at line 35 of file TrapazoidalPrismCollider.h.

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◆ TOP

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constexpr std::size_t Eule::TrapazoidalPrismCollider::TOP = 1
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Definition at line 37 of file TrapazoidalPrismCollider.h.

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CrossProduct(const Vector2< T > &other) constEule::Vector2< T >
DotProduct(const Vector2< T > &other) constEule::Vector2< T >
downEule::Vector2< T >static
leftEule::Vector2< T >static
Lerp(const Vector2< T > &other, double t) constEule::Vector2< T >
LerpSelf(const Vector2< T > &other, double t)Eule::Vector2< T >
Magnitude() constEule::Vector2< T >
Normalize() constEule::Vector2< T >
NormalizeSelf()Eule::Vector2< T >
oneEule::Vector2< T >static
operator Vector3< T >() constEule::Vector2< T >
operator Vector4< T >() constEule::Vector2< T >
operator!=(const Vector2< T > &other) constEule::Vector2< T >
operator*(const T scale) constEule::Vector2< T >
operator*=(const T scale)Eule::Vector2< T >
operator+(const Vector2< T > &other) constEule::Vector2< T >
operator+=(const Vector2< T > &other)Eule::Vector2< T >
operator-(const Vector2< T > &other) constEule::Vector2< T >
operator-() constEule::Vector2< T >
operator-=(const Vector2< T > &other)Eule::Vector2< T >
operator/(const T scale) constEule::Vector2< T >
operator/=(const T scale)Eule::Vector2< T >
operator<<(std::ostream &os, const Vector2< T > &v)Eule::Vector2< T >friend
operator<<(std::wostream &os, const Vector2< T > &v)Eule::Vector2< T >friend
operator=(const Vector2< T > &other)Eule::Vector2< T >
operator=(Vector2< T > &&other) noexceptEule::Vector2< T >
operator==(const Vector2< T > &other) constEule::Vector2< T >
operator[](std::size_t idx)Eule::Vector2< T >
operator[](std::size_t idx) constEule::Vector2< T >
rightEule::Vector2< T >static
Similar(const Vector2< T > &other, double epsilon=0.00001) constEule::Vector2< T >
SqrMagnitude() constEule::Vector2< T >
ToDouble() constEule::Vector2< T >
ToInt() constEule::Vector2< T >
upEule::Vector2< T >static
Vector2()Eule::Vector2< T >inline
Vector2(T _x, T _y)Eule::Vector2< T >inline
Vector2(const Vector2< T > &other)=defaultEule::Vector2< T >
Vector2(Vector2< T > &&other) noexcept=defaultEule::Vector2< T >
VectorScale(const Vector2< T > &scalar) constEule::Vector2< T >
xEule::Vector2< T >
yEule::Vector2< T >
zeroEule::Vector2< T >static
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-Generated on Mon Nov 15 2021 16:10:18 for Leonetienne/Eule by   -doxygen - 1.8.17 -
- - diff --git a/Doxygen/build/classEule_1_1Vector2.html b/Doxygen/build/classEule_1_1Vector2.html deleted file mode 100644 index 8073805..0000000 --- a/Doxygen/build/classEule_1_1Vector2.html +++ /dev/null @@ -1,1478 +0,0 @@ - - - - - - - -Leonetienne/Eule: Eule::Vector2< T > Class Template Reference - - - - - - - - - - - -
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Leonetienne/Eule -
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Homemade math library, mainly targetted towards computer graphics
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-Public Member Functions | -Public Attributes | -Static Public Attributes | -Friends | -List of all members
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Eule::Vector2< T > Class Template Reference
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Representation of a 2d vector. - More...

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#include <Vector2.h>

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-Public Member Functions

 Vector2 ()
 
 Vector2 (T _x, T _y)
 
 Vector2 (const Vector2< T > &other)=default
 
 Vector2 (Vector2< T > &&other) noexcept=default
 
double DotProduct (const Vector2< T > &other) const
 Will compute the dot product to another Vector2. More...
 
double CrossProduct (const Vector2< T > &other) const
 Will compute the cross product to another Vector2. More...
 
double SqrMagnitude () const
 Will compute the square magnitude. More...
 
double Magnitude () const
 Will compute the magnitude. More...
 
Vector2< double > Normalize () const
 Will return the normalization of this vector. More...
 
void NormalizeSelf ()
 Will normalize this vector. More...
 
Vector2< T > VectorScale (const Vector2< T > &scalar) const
 Will scale self.n by scalar.n. More...
 
void LerpSelf (const Vector2< T > &other, double t)
 Will lerp itself towards other by t. More...
 
Vector2< double > Lerp (const Vector2< T > &other, double t) const
 Will return a lerp result between this and another vector. More...
 
bool Similar (const Vector2< T > &other, double epsilon=0.00001) const
 Will compare if two vectors are similar to a certain epsilon value. More...
 
Vector2< int > ToInt () const
 Will convert this vector to a Vector2i. More...
 
Vector2< double > ToDouble () const
 Will convert this vector to a Vector2d. More...
 
T & operator[] (std::size_t idx)
 
const T & operator[] (std::size_t idx) const
 
Vector2< T > operator+ (const Vector2< T > &other) const
 
void operator+= (const Vector2< T > &other)
 
Vector2< T > operator- (const Vector2< T > &other) const
 
void operator-= (const Vector2< T > &other)
 
Vector2< T > operator* (const T scale) const
 
void operator*= (const T scale)
 
Vector2< T > operator/ (const T scale) const
 
void operator/= (const T scale)
 
Vector2< T > operator- () const
 
 operator Vector3< T > () const
 
 operator Vector4< T > () const
 Conversion method. More...
 
void operator= (const Vector2< T > &other)
 Conversion method. More...
 
void operator= (Vector2< T > &&other) noexcept
 
bool operator== (const Vector2< T > &other) const
 
bool operator!= (const Vector2< T > &other) const
 
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-Public Attributes

T x
 
T y
 
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-Static Public Attributes

static const Vector2< double > up
 
static const Vector2< double > down
 
static const Vector2< double > right
 
static const Vector2< double > left
 
static const Vector2< double > one
 
static const Vector2< double > zero
 
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-Friends

std::ostream & operator<< (std::ostream &os, const Vector2< T > &v)
 
std::wostream & operator<< (std::wostream &os, const Vector2< T > &v)
 
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Detailed Description

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template<typename T>
-class Eule::Vector2< T >

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Representation of a 2d vector.

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Contains a lot of utility methods.

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Definition at line 14 of file Vector2.h.

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Constructor & Destructor Documentation

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◆ Vector2() [1/4]

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Definition at line 17 of file Vector2.h.

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◆ Vector2() [2/4]

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Definition at line 18 of file Vector2.h.

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◆ CrossProduct()

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double Vector2::CrossProduct (const Vector2< T > & other) const
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Will compute the cross product to another Vector2.

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Definition at line 65 of file Vector2.cpp.

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66 {
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67  int iCross = (x * other.y) -
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68  (y * other.x);
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69 
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70  return (double)iCross;
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71 }
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◆ DotProduct()

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double Vector2::DotProduct (const Vector2< T > & other) const
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Will compute the dot product to another Vector2.

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Definition at line 47 of file Vector2.cpp.

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48 {
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49  int iDot = (x * other.x) +
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50  (y * other.y);
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51 
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52  return (double)iDot;
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53 }
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◆ Lerp()

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Vector2< double > Vector2::Lerp (const Vector2< T > & other,
double t 
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Will return a lerp result between this and another vector.

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Definition at line 256 of file Vector2.cpp.

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257 {
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258  Vector2d copy(this->ToDouble());
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259  copy.LerpSelf(other.ToDouble(), t);
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260 
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261  return copy;
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262 }
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◆ LerpSelf()

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Will lerp itself towards other by t.

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Definition at line 238 of file Vector2.cpp.

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239 {
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240  const double it = 1.0 - t; // Inverse t
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241 
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242  x = (int)(it * (double)x + t * (double)other.x);
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243  y = (int)(it * (double)y + t * (double)other.y);
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244 
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245  return;
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246 }
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◆ Magnitude()

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double Vector2::Magnitude
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Will compute the magnitude.

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Definition at line 90 of file Vector2.cpp.

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91 {
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92  return sqrt(SqrMagnitude());
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Will return the normalization of this vector.

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Definition at line 137 of file Vector2.cpp.

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138 {
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139  Vector2<double> norm(x, y);
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140  norm.NormalizeSelf();
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141 
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142  return norm;
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143 }
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◆ NormalizeSelf()

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Will normalize this vector.

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Definition at line 187 of file Vector2.cpp.

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188 {
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189  std::cerr << "Stop normalizing int-vectors!!" << std::endl;
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190  x = 0;
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191  y = 0;
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192 
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193  return;
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194 }
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◆ operator Vector3< T >()

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Definition at line 674 of file Vector2.cpp.

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675 {
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676  return Vector3<T>(x, y, 0);
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◆ operator Vector4< T >()

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Conversion method.

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Definition at line 680 of file Vector2.cpp.

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681 {
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682  return Vector4<T>(x, y, 0, 0);
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683 }
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◆ operator!=()

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Definition at line 656 of file Vector2.cpp.

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657 {
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658  return !operator==(other);
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659 }
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◆ operator*()

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Definition at line 503 of file Vector2.cpp.

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504 {
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505  return Vector2<T>(
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506  x * scale,
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507  y * scale
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508  );
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509 }
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Definition at line 542 of file Vector2.cpp.

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543 {
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544  x *= scale;
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545  y *= scale;
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546  return;
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Definition at line 346 of file Vector2.cpp.

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347 {
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348  return Vector2<T>(
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349  x + other.x,
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350  y + other.y
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Definition at line 385 of file Vector2.cpp.

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387  x += other.x;
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388  y += other.y;
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Definition at line 662 of file Vector2.cpp.

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Definition at line 424 of file Vector2.cpp.

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Definition at line 463 of file Vector2.cpp.

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Definition at line 582 of file Vector2.cpp.

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585  x / scale,
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Definition at line 620 of file Vector2.cpp.

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622  x /= scale;
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Conversion method.

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Definition at line 630 of file Vector2.cpp.

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632  x = other.x;
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Definition at line 639 of file Vector2.cpp.

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640 {
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641  x = std::move(other.x);
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642  y = std::move(other.y);
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Definition at line 648 of file Vector2.cpp.

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Definition at line 267 of file Vector2.cpp.

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268 {
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269  switch (idx)
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271  case 0:
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272  return x;
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274  return y;
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275  default:
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276  throw std::out_of_range("Array descriptor on Vector2<T> out of range!");
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277  }
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Definition at line 281 of file Vector2.cpp.

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282 {
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283  switch (idx)
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284  {
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285  case 0:
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286  return x;
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287  case 1:
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288  return y;
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289  default:
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290  throw std::out_of_range("Array descriptor on Vector2<T> out of range!");
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291  }
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bool Vector2::Similar (const Vector2< T > & other,
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Will compare if two vectors are similar to a certain epsilon value.

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Definition at line 295 of file Vector2.cpp.

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296 {
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297  return
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298  (::Math::Similar(x, other.x, epsilon)) &&
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299  (::Math::Similar(y, other.y, epsilon))
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300  ;
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301 }
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◆ SqrMagnitude()

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Will compute the square magnitude.

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Definition at line 83 of file Vector2.cpp.

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84 {
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85  int iSqrMag = x*x + y*y;
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◆ ToDouble()

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Will convert this vector to a Vector2d.

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Definition at line 310 of file Vector2.cpp.

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311 {
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312  return Vector2<double>((double)x, (double)y);
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Will convert this vector to a Vector2i.

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Definition at line 304 of file Vector2.cpp.

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305 {
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306  return Vector2<int>((int)x, (int)y);
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Will scale self.n by scalar.n.

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Definition at line 127 of file Vector2.cpp.

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128 {
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129  return Vector2<int>(
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130  x * scalar.x,
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131  y * scalar.y
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132  );
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Definition at line 80 of file Vector2.h.

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81  {
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82  return os << "[x: " << v.x << " y: " << v.y << "]";
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83  }
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Definition at line 84 of file Vector2.h.

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85  {
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86  return os << L"[x: " << v.x << L" y: " << v.y << L"]";
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87  }
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Member Data Documentation

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◆ down

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Definition at line 94 of file Vector2.h.

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◆ left

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Definition at line 96 of file Vector2.h.

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◆ one

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Definition at line 97 of file Vector2.h.

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◆ right

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Definition at line 95 of file Vector2.h.

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◆ up

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Definition at line 93 of file Vector2.h.

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◆ x

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Definition at line 89 of file Vector2.h.

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◆ y

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Definition at line 98 of file Vector2.h.

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Eule::Vector3
Representation of a 3d vector.
Definition: Matrix4x4.h:9
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Eule::Vector2::SqrMagnitude
double SqrMagnitude() const
Will compute the square magnitude.
Definition: Vector2.cpp:83
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Eule::Vector2::ToDouble
Vector2< double > ToDouble() const
Will convert this vector to a Vector2d.
Definition: Vector2.cpp:310
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Eule::Vector2< double >
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Eule::Math::Similar
static constexpr bool Similar(const double a, const double b, const double epsilon=0.00001)
Compares two double values with a given accuracy.
Definition: Math.h:102
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T x
Definition: Vector2.h:89
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Definition: Vector2.h:90
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Eule::Vector2::operator==
bool operator==(const Vector2< T > &other) const
Definition: Vector2.cpp:648
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Eule::Vector4
Representation of a 4d vector.
Definition: Vector2.h:8
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Eule::Vector3< T > Member List
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backwardEule::Vector3< T >static
CrossProduct(const Vector3< T > &other) constEule::Vector3< T >
DotProduct(const Vector3< T > &other) constEule::Vector3< T >
downEule::Vector3< T >static
forwardEule::Vector3< T >static
leftEule::Vector3< T >static
Lerp(const Vector3< T > &other, double t) constEule::Vector3< T >
LerpSelf(const Vector3< T > &other, double t)Eule::Vector3< T >
Magnitude() constEule::Vector3< T >
Normalize() constEule::Vector3< T >
NormalizeSelf()Eule::Vector3< T >
oneEule::Vector3< T >static
operator Vector2< T >() constEule::Vector3< T >
operator Vector4< T >() constEule::Vector3< T >
operator!=(const Vector3< T > &other) constEule::Vector3< T >
operator*(const T scale) constEule::Vector3< T >
operator*(const Matrix4x4 &mat) constEule::Vector3< T >
operator*=(const T scale)Eule::Vector3< T >
operator*=(const Matrix4x4 &mat)Eule::Vector3< T >
operator+(const Vector3< T > &other) constEule::Vector3< T >
operator+=(const Vector3< T > &other)Eule::Vector3< T >
operator-(const Vector3< T > &other) constEule::Vector3< T >
operator-() constEule::Vector3< T >
operator-=(const Vector3< T > &other)Eule::Vector3< T >
operator/(const T scale) constEule::Vector3< T >
operator/=(const T scale)Eule::Vector3< T >
operator<<(std::ostream &os, const Vector3< T > &v)Eule::Vector3< T >friend
operator<<(std::wostream &os, const Vector3< T > &v)Eule::Vector3< T >friend
operator=(const Vector3< T > &other)Eule::Vector3< T >
operator=(Vector3< T > &&other) noexceptEule::Vector3< T >
operator==(const Vector3< T > &other) constEule::Vector3< T >
operator[](std::size_t idx)Eule::Vector3< T >
operator[](std::size_t idx) constEule::Vector3< T >
rightEule::Vector3< T >static
Similar(const Vector3< T > &other, double epsilon=0.00001) constEule::Vector3< T >
SqrMagnitude() constEule::Vector3< T >
ToDouble() constEule::Vector3< T >
ToInt() constEule::Vector3< T >
upEule::Vector3< T >static
Vector3()Eule::Vector3< T >inline
Vector3(T _x, T _y, T _z)Eule::Vector3< T >inline
Vector3(const Vector3< T > &other)=defaultEule::Vector3< T >
Vector3(Vector3< T > &&other) noexcept=defaultEule::Vector3< T >
VectorScale(const Vector3< T > &scalar) constEule::Vector3< T >
xEule::Vector3< T >
yEule::Vector3< T >
zEule::Vector3< T >
zeroEule::Vector3< T >static
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Homemade math library, mainly targetted towards computer graphics
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Eule::Vector3< T > Class Template Reference
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Representation of a 3d vector. - More...

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#include <Matrix4x4.h>

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-Public Member Functions

 Vector3 ()
 
 Vector3 (T _x, T _y, T _z)
 
 Vector3 (const Vector3< T > &other)=default
 
 Vector3 (Vector3< T > &&other) noexcept=default
 
double DotProduct (const Vector3< T > &other) const
 Will compute the dot product to another Vector3. More...
 
Vector3< double > CrossProduct (const Vector3< T > &other) const
 Will compute the cross product to another Vector3. More...
 
double SqrMagnitude () const
 Will compute the square magnitude. More...
 
double Magnitude () const
 Will compute the magnitude. More...
 
Vector3< double > Normalize () const
 Will return the normalization of this vector. More...
 
void NormalizeSelf ()
 Will normalize this vector. More...
 
Vector3< T > VectorScale (const Vector3< T > &scalar) const
 Will scale self.n by scalar.n. More...
 
void LerpSelf (const Vector3< T > &other, double t)
 Will lerp itself towards other by t. More...
 
Vector3< double > Lerp (const Vector3< T > &other, double t) const
 Will return a lerp result between this and another vector. More...
 
bool Similar (const Vector3< T > &other, double epsilon=0.00001) const
 Will compare if two vectors are similar to a certain epsilon value. More...
 
Vector3< int > ToInt () const
 Will convert this vector to a Vector3i. More...
 
Vector3< double > ToDouble () const
 Will convert this vector to a Vector3d. More...
 
T & operator[] (std::size_t idx)
 
const T & operator[] (std::size_t idx) const
 
Vector3< T > operator+ (const Vector3< T > &other) const
 
void operator+= (const Vector3< T > &other)
 
Vector3< T > operator- (const Vector3< T > &other) const
 
void operator-= (const Vector3< T > &other)
 
Vector3< T > operator* (const T scale) const
 
void operator*= (const T scale)
 
Vector3< T > operator/ (const T scale) const
 
void operator/= (const T scale)
 
Vector3< T > operator* (const Matrix4x4 &mat) const
 
void operator*= (const Matrix4x4 &mat)
 
Vector3< T > operator- () const
 
 operator Vector2< T > () const
 
 operator Vector4< T > () const
 Conversion method. More...
 
void operator= (const Vector3< T > &other)
 Conversion method. More...
 
void operator= (Vector3< T > &&other) noexcept
 
bool operator== (const Vector3< T > &other) const
 
bool operator!= (const Vector3< T > &other) const
 
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-Public Attributes

T x
 
T y
 
T z
 
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-Static Public Attributes

static const Vector3< double > up
 
static const Vector3< double > down
 
static const Vector3< double > right
 
static const Vector3< double > left
 
static const Vector3< double > forward
 
static const Vector3< double > backward
 
static const Vector3< double > one
 
static const Vector3< double > zero
 
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-Friends

std::ostream & operator<< (std::ostream &os, const Vector3< T > &v)
 
std::wostream & operator<< (std::wostream &os, const Vector3< T > &v)
 
-

Detailed Description

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template<typename T>
-class Eule::Vector3< T >

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Representation of a 3d vector.

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Contains a lot of utility methods.

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Definition at line 9 of file Matrix4x4.h.

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Constructor & Destructor Documentation

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◆ Vector3() [1/4]

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Definition at line 20 of file Vector3.h.

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20 : x{ 0 }, y{ 0 }, z{ 0 } {}
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◆ Vector3() [2/4]

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T _z 
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Definition at line 21 of file Vector3.h.

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21 : x{ _x }, y{ _y }, z{ _z } {}
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Member Function Documentation

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◆ CrossProduct()

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Vector3< double > Vector3::CrossProduct (const Vector3< T > & other) const
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Will compute the cross product to another Vector3.

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Definition at line 68 of file Vector3.cpp.

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69 {
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70  Vector3<double> cp;
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71  cp.x = ((double)y * (double)other.z) - ((double)z * (double)other.y);
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72  cp.y = ((double)z * (double)other.x) - ((double)x * (double)other.z);
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73  cp.z = ((double)x * (double)other.y) - ((double)y * (double)other.x);
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74 
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75  return cp;
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76 }
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◆ DotProduct()

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double Vector3::DotProduct (const Vector3< T > & other) const
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Will compute the dot product to another Vector3.

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Definition at line 48 of file Vector3.cpp.

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49 {
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50  int iDot = (x * other.x) + (y * other.y) + (z * other.z);
-
51  return (double)iDot;
-
52 }
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◆ Lerp()

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Vector3< double > Vector3::Lerp (const Vector3< T > & other,
double t 
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Will return a lerp result between this and another vector.

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Definition at line 330 of file Vector3.cpp.

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331 {
-
332  Vector3d copy(this->ToDouble());
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333  copy.LerpSelf(other.ToDouble(), t);
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334 
-
335  return copy;
-
336 }
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◆ LerpSelf()

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Will lerp itself towards other by t.

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Definition at line 311 of file Vector3.cpp.

-
312 {
-
313  const double it = 1.0 - t; // Inverse t
-
314 
-
315  x = (int)(it * (double)x + t * (double)other.x);
-
316  y = (int)(it * (double)y + t * (double)other.y);
-
317  z = (int)(it * (double)z + t * (double)other.z);
-
318 
-
319  return;
-
320 }
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◆ Magnitude()

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double Vector3::Magnitude
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Will compute the magnitude.

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Definition at line 95 of file Vector3.cpp.

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96 {
-
97  return sqrt(SqrMagnitude());
-
98 }
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◆ Normalize()

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Vector3< double > Vector3::Normalize
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- -

Will return the normalization of this vector.

- -

Definition at line 147 of file Vector3.cpp.

-
148 {
-
149  Vector3<double> norm(x, y, z);
-
150  norm.NormalizeSelf();
-
151 
-
152  return norm;
-
153 }
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◆ NormalizeSelf()

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void Vector3::NormalizeSelf ()
-
- -

Will normalize this vector.

- -

Definition at line 200 of file Vector3.cpp.

-
201 {
-
202  std::cerr << "Stop normalizing int-vectors!!" << std::endl;
-
203  x = 0;
-
204  y = 0;
-
205  z = 0;
-
206 
-
207  return;
-
208 }
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◆ operator Vector2< T >()

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Vector3::operator Vector2< T >
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Definition at line 873 of file Vector3.cpp.

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874 {
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875  return Vector2<T>(x, y);
-
876 }
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◆ operator Vector4< T >()

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Vector3::operator Vector4< T >
-
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Conversion method.

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Definition at line 879 of file Vector3.cpp.

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880 {
-
881  return Vector4<T>(x, y, z, 0);
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882 }
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◆ operator!=()

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bool Vector3::operator!= (const Vector3< T > & other) const
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Definition at line 864 of file Vector3.cpp.

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865 {
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866  return !operator==(other);
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867 }
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◆ operator*() [1/2]

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Definition at line 731 of file Vector3.cpp.

-
732 {
-
733  Vector3<double> newVec;
-
734 
-
735  // Rotation, Scaling
-
736  newVec.x = ((mat[0][0] * x) + (mat[1][0] * y) + (mat[2][0] * z));
-
737  newVec.y = ((mat[0][1] * x) + (mat[1][1] * y) + (mat[2][1] * z));
-
738  newVec.z = ((mat[0][2] * x) + (mat[1][2] * y) + (mat[2][2] * z));
-
739 
-
740  // Translation
-
741  newVec.x += mat[0][3];
-
742  newVec.y += mat[1][3];
-
743  newVec.z += mat[2][3];
-
744 
-
745  return Vector3<int>(
-
746  (int)newVec.x,
-
747  (int)newVec.y,
-
748  (int)newVec.z
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749  );
-
750 }
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◆ operator*() [2/2]

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Definition at line 541 of file Vector3.cpp.

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542 {
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543  return Vector3<T>(
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544  x * scale,
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545  y * scale,
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546  z * scale
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547  );
-
548 }
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◆ operator*=() [1/2]

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Definition at line 836 of file Vector3.cpp.

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837 {
-
838  Vector3<double> buffer(x, y, z);
-
839 
-
840  x = (int)((mat[0][0] * buffer.x) + (mat[0][1] * buffer.y) + (mat[0][2] * buffer.z));
-
841  y = (int)((mat[1][0] * buffer.x) + (mat[1][1] * buffer.y) + (mat[1][2] * buffer.z));
-
842  z = (int)((mat[2][0] * buffer.x) + (mat[2][1] * buffer.y) + (mat[2][2] * buffer.z));
-
843 
-
844  // Translation
-
845  x += (int)mat[0][3];
-
846  y += (int)mat[1][3];
-
847  z += (int)mat[2][3];
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-
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-
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Definition at line 583 of file Vector3.cpp.

-
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585  x *= scale;
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586  y *= scale;
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587  z *= scale;
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588  return;
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589 }
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◆ operator+()

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Definition at line 372 of file Vector3.cpp.

-
373 {
-
374  return Vector3<T>(
-
375  x + other.x,
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376  y + other.y,
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377  z + other.z
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378  );
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379 }
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Definition at line 414 of file Vector3.cpp.

-
415 {
-
416  x += other.x;
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417  y += other.y;
-
418  z += other.z;
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-
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◆ operator-() [1/2]

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Definition at line 806 of file Vector3.cpp.

-
807 {
-
808  return Vector3<T>(
-
809  -x,
-
810  -y,
-
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-
812  );
-
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Definition at line 456 of file Vector3.cpp.

-
457 {
-
458  return Vector3<T>(
-
459  x - other.x,
-
460  y - other.y,
-
461  z - other.z
-
462  );
-
463 }
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◆ operator-=()

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Definition at line 498 of file Vector3.cpp.

-
499 {
-
500  x -= other.x;
-
501  y -= other.y;
-
502  z -= other.z;
-
503  return;
-
504 }
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◆ operator/()

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Definition at line 626 of file Vector3.cpp.

-
627 {
-
628  return Vector3<T>(
-
629  x / scale,
-
630  y / scale,
-
631  z / scale
-
632  );
-
633 }
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Definition at line 667 of file Vector3.cpp.

-
668 {
-
669  x /= scale;
-
670  y /= scale;
-
671  z /= scale;
-
672  return;
-
673 }
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Conversion method.

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Definition at line 816 of file Vector3.cpp.

-
817 {
-
818  x = other.x;
-
819  y = other.y;
-
820  z = other.z;
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-
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Definition at line 826 of file Vector3.cpp.

-
827 {
-
828  x = std::move(other.x);
-
829  y = std::move(other.y);
-
830  z = std::move(other.z);
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831 
-
832  return;
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Definition at line 855 of file Vector3.cpp.

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856 {
-
857  return
-
858  (x == other.x) &&
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Vector3< double > ToDouble() const
Will convert this vector to a Vector3d.
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bool operator==(const Vector3< T > &other) const
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Eule::Vector2
Representation of a 2d vector.
Definition: Vector2.h:14
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static constexpr bool Similar(const double a, const double b, const double epsilon=0.00001)
Compares two double values with a given accuracy.
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Eule::Vector3::SqrMagnitude
double SqrMagnitude() const
Will compute the square magnitude.
Definition: Vector3.cpp:88
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Definition: Vector3.h:95
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Eule::Vector4
Representation of a 4d vector.
Definition: Vector2.h:8
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futureEule::Vector4< T >static
leftEule::Vector4< T >static
Lerp(const Vector4< T > &other, double t) constEule::Vector4< T >
LerpSelf(const Vector4< T > &other, double t)Eule::Vector4< T >
Magnitude() constEule::Vector4< T >
Normalize() constEule::Vector4< T >
NormalizeSelf()Eule::Vector4< T >
oneEule::Vector4< T >static
operator Vector2< T >() constEule::Vector4< T >
operator Vector3< T >() constEule::Vector4< T >
operator!=(const Vector4< T > &other) constEule::Vector4< T >
operator*(const T scale) constEule::Vector4< T >
operator*(const Matrix4x4 &mat) constEule::Vector4< T >
operator*=(const T scale)Eule::Vector4< T >
operator*=(const Matrix4x4 &mat)Eule::Vector4< T >
operator+(const Vector4< T > &other) constEule::Vector4< T >
operator+=(const Vector4< T > &other)Eule::Vector4< T >
operator-(const Vector4< T > &other) constEule::Vector4< T >
operator-() constEule::Vector4< T >
operator-=(const Vector4< T > &other)Eule::Vector4< T >
operator/(const T scale) constEule::Vector4< T >
operator/=(const T scale)Eule::Vector4< T >
operator<<(std::ostream &os, const Vector4< T > &v)Eule::Vector4< T >friend
operator<<(std::wostream &os, const Vector4< T > &v)Eule::Vector4< T >friend
operator=(const Vector4< T > &other)Eule::Vector4< T >
operator=(Vector4< T > &&other) noexceptEule::Vector4< T >
operator==(const Vector4< T > &other) constEule::Vector4< T >
operator[](std::size_t idx)Eule::Vector4< T >
operator[](std::size_t idx) constEule::Vector4< T >
pastEule::Vector4< T >static
rightEule::Vector4< T >static
Similar(const Vector4< T > &other, double epsilon=0.00001) constEule::Vector4< T >
SqrMagnitude() constEule::Vector4< T >
ToDouble() constEule::Vector4< T >
ToInt() constEule::Vector4< T >
upEule::Vector4< T >static
Vector4()Eule::Vector4< T >inline
Vector4(T _x, T _y, T _z, T _w)Eule::Vector4< T >inline
Vector4(const Vector4< T > &other)=defaultEule::Vector4< T >
Vector4(Vector4< T > &&other) noexcept=defaultEule::Vector4< T >
VectorScale(const Vector4< T > &scalar) constEule::Vector4< T >
wEule::Vector4< T >
xEule::Vector4< T >
yEule::Vector4< T >
zEule::Vector4< T >
zeroEule::Vector4< T >static
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Eule::Vector4< T > Class Template Reference
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Representation of a 4d vector. - More...

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#include <Vector2.h>

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 Vector4 ()
 
 Vector4 (T _x, T _y, T _z, T _w)
 
 Vector4 (const Vector4< T > &other)=default
 
 Vector4 (Vector4< T > &&other) noexcept=default
 
double SqrMagnitude () const
 Will compute the square magnitude. More...
 
double Magnitude () const
 Will compute the magnitude. More...
 
Vector4< double > Normalize () const
 Will return the normalization of this vector. More...
 
void NormalizeSelf ()
 Will normalize this vector. More...
 
Vector4< T > VectorScale (const Vector4< T > &scalar) const
 Will scale self.n by scalar.n. More...
 
void LerpSelf (const Vector4< T > &other, double t)
 Will lerp itself towards other by t. More...
 
Vector4< double > Lerp (const Vector4< T > &other, double t) const
 Will return a lerp result between this and another vector. More...
 
bool Similar (const Vector4< T > &other, double epsilon=0.00001) const
 Will compare if two vectors are similar to a certain epsilon value. More...
 
Vector4< int > ToInt () const
 Will convert this vector to a Vector4i. More...
 
Vector4< double > ToDouble () const
 Will convert this vector to a Vector4d. More...
 
T & operator[] (std::size_t idx)
 
const T & operator[] (std::size_t idx) const
 
Vector4< T > operator+ (const Vector4< T > &other) const
 
void operator+= (const Vector4< T > &other)
 
Vector4< T > operator- (const Vector4< T > &other) const
 
void operator-= (const Vector4< T > &other)
 
Vector4< T > operator* (const T scale) const
 
void operator*= (const T scale)
 
Vector4< T > operator/ (const T scale) const
 
void operator/= (const T scale)
 
Vector4< T > operator* (const Matrix4x4 &mat) const
 
void operator*= (const Matrix4x4 &mat)
 
Vector4< T > operator- () const
 
 operator Vector2< T > () const
 
 operator Vector3< T > () const
 Conversion method. More...
 
void operator= (const Vector4< T > &other)
 Conversion method. More...
 
void operator= (Vector4< T > &&other) noexcept
 
bool operator== (const Vector4< T > &other) const
 
bool operator!= (const Vector4< T > &other) const
 
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T x
 
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static const Vector4< double > up
 
static const Vector4< double > down
 
static const Vector4< double > right
 
static const Vector4< double > left
 
static const Vector4< double > forward
 
static const Vector4< double > backward
 
static const Vector4< double > future
 
static const Vector4< double > past
 
static const Vector4< double > one
 
static const Vector4< double > zero
 
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-Friends

std::ostream & operator<< (std::ostream &os, const Vector4< T > &v)
 
std::wostream & operator<< (std::wostream &os, const Vector4< T > &v)
 
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Detailed Description

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template<typename T>
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Representation of a 4d vector.

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Contains a lot of utility methods.

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Definition at line 8 of file Vector2.h.

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Constructor & Destructor Documentation

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◆ Vector4() [1/4]

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◆ Lerp()

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Vector4< double > Vector4::Lerp (const Vector4< T > & other,
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Will return a lerp result between this and another vector.

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Definition at line 287 of file Vector4.cpp.

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289  Vector4d copy(this->ToDouble());
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290  copy.LerpSelf(other.ToDouble(), t);
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Will lerp itself towards other by t.

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Definition at line 267 of file Vector4.cpp.

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269  const double it = 1.0 - t;
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270 
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271  x = (int)(it * (double)x + t * (double)other.x);
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272  y = (int)(it * (double)y + t * (double)other.y);
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273  z = (int)(it * (double)z + t * (double)other.z);
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274  w = (int)(it * (double)w + t * (double)other.w);
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275 
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276  return;
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Will compute the magnitude.

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Definition at line 38 of file Vector4.cpp.

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40  return sqrt(SqrMagnitude());
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Will return the normalization of this vector.

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Definition at line 92 of file Vector4.cpp.

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93 {
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94  Vector4<double> norm(x, y, z, w);
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95  norm.NormalizeSelf();
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Will normalize this vector.

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Definition at line 148 of file Vector4.cpp.

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149 {
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150  std::cerr << "Stop normalizing int-vectors!!" << std::endl;
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151  x = 0;
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153  z = 0;
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154  w = 0;
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◆ operator Vector2< T >()

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Definition at line 775 of file Vector4.cpp.

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777  return Vector2<T>(x, y);
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Conversion method.

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Definition at line 781 of file Vector4.cpp.

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782 {
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783  return Vector3<T>(x, y, z);
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◆ operator!=()

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Definition at line 767 of file Vector4.cpp.

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769  return !operator==(other);
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Definition at line 684 of file Vector4.cpp.

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685 {
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686  Vector4<double> newVec;
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687 
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688  newVec.x = (mat[0][0] * x) + (mat[0][1] * y) + (mat[0][2] * z) + (mat[0][3] * w);
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689  newVec.y = (mat[1][0] * x) + (mat[1][1] * y) + (mat[1][2] * z) + (mat[1][3] * w);
-
690  newVec.z = (mat[2][0] * x) + (mat[2][1] * y) + (mat[2][2] * z) + (mat[2][3] * w);
-
691  newVec.w = (mat[3][0] * x) + (mat[3][1] * y) + (mat[3][2] * z) + (mat[3][3] * w);
-
692 
-
693  return Vector4<int>(
-
694  (int)newVec.x,
-
695  (int)newVec.y,
-
696  (int)newVec.z,
-
697  (int)newVec.w
-
698  );
-
699 }
-
-
-
- -

◆ operator*() [2/2]

- -
-
-
-template<typename T >
- - - - - - - - -
Vector4< T > Vector4::operator* (const T scale) const
-
- -

Definition at line 512 of file Vector4.cpp.

-
513 {
-
514  return Vector4<T>(
-
515  x * scale,
-
516  y * scale,
-
517  z * scale,
-
518  w * scale
-
519  );
-
520 }
-
-
-
- -

◆ operator*=() [1/2]

- -
-
-
-template<typename T >
- - - - - - - - -
void Vector4::operator*= (const Matrix4x4 & mat)
-
- -

Definition at line 752 of file Vector4.cpp.

-
753 {
-
754  Vector4<double> buffer(x, y, z, w);
-
755 
-
756  // Should this still be reversed...? like, instead of mat[x][y], use mat[y][m]
-
757  // idk right now. check that if something doesn't work
-
758  x = (int)((mat[0][0] * buffer.x) + (mat[0][1] * buffer.y) + (mat[0][2] * buffer.z) + (mat[0][3] * buffer.w));
-
759  y = (int)((mat[1][0] * buffer.x) + (mat[1][1] * buffer.y) + (mat[1][2] * buffer.z) + (mat[1][3] * buffer.w));
-
760  z = (int)((mat[2][0] * buffer.x) + (mat[2][1] * buffer.y) + (mat[2][2] * buffer.z) + (mat[2][3] * buffer.w));
-
761  w = (int)((mat[3][0] * buffer.x) + (mat[3][1] * buffer.y) + (mat[3][2] * buffer.z) + (mat[3][3] * buffer.w));
-
762 
-
763  return;
-
764 }
-
-
-
- -

◆ operator*=() [2/2]

- -
-
-
-template<typename T >
- - - - - - - - -
void Vector4::operator*= (const T scale)
-
- -

Definition at line 557 of file Vector4.cpp.

-
558 {
-
559  x *= scale;
-
560  y *= scale;
-
561  z *= scale;
-
562  w *= scale;
-
563  return;
-
564 }
-
-
-
- -

◆ operator+()

- -
-
-
-template<typename T >
- - - - - - - - -
Vector4< T > Vector4::operator+ (const Vector4< T > & other) const
-
- -

Definition at line 331 of file Vector4.cpp.

-
332 {
-
333  return Vector4<T>(
-
334  x + other.x,
-
335  y + other.y,
-
336  z + other.z,
-
337  w + other.w
-
338  );
-
339 }
-
-
-
- -

◆ operator+=()

- -
-
-
-template<typename T >
- - - - - - - - -
void Vector4::operator+= (const Vector4< T > & other)
-
- -

Definition at line 376 of file Vector4.cpp.

-
377 {
-
378  x += other.x;
-
379  y += other.y;
-
380  z += other.z;
-
381  w += other.w;
-
382  return;
-
383 }
-
-
-
- -

◆ operator-() [1/2]

- -
-
-
-template<typename T >
- - - - -
Vector4< T > Vector4::operator-
-
- -

Definition at line 719 of file Vector4.cpp.

-
720 {
-
721  return Vector4<T>(
-
722  -x,
-
723  -y,
-
724  -z,
-
725  -w
-
726  );
-
727 }
-
-
-
- -

◆ operator-() [2/2]

- -
-
-
-template<typename T >
- - - - - - - - -
Vector4< T > Vector4::operator- (const Vector4< T > & other) const
-
- -

Definition at line 421 of file Vector4.cpp.

-
422 {
-
423  return Vector4<T>(
-
424  x - other.x,
-
425  y - other.y,
-
426  z - other.z,
-
427  w - other.w
-
428  );
-
429 }
-
-
-
- -

◆ operator-=()

- -
-
-
-template<typename T >
- - - - - - - - -
void Vector4::operator-= (const Vector4< T > & other)
-
- -

Definition at line 466 of file Vector4.cpp.

-
467 {
-
468  x -= other.x;
-
469  y -= other.y;
-
470  z -= other.z;
-
471  w -= other.w;
-
472  return;
-
473 }
-
-
-
- -

◆ operator/()

- -
-
-
-template<typename T >
- - - - - - - - -
Vector4< T > Vector4::operator/ (const T scale) const
-
- -

Definition at line 603 of file Vector4.cpp.

-
604 {
-
605  return Vector4<T>(
-
606  x / scale,
-
607  y / scale,
-
608  z / scale,
-
609  w / scale
-
610  );
-
611 }
-
-
-
- -

◆ operator/=()

- -
-
-
-template<typename T >
- - - - - - - - -
void Vector4::operator/= (const T scale)
-
- -

Definition at line 647 of file Vector4.cpp.

-
648 {
-
649  x /= scale;
-
650  y /= scale;
-
651  z /= scale;
-
652  w /= scale;
-
653  return;
-
654 }
-
-
-
- -

◆ operator=() [1/2]

- -
-
-
-template<typename T >
- - - - - - - - -
void Vector4::operator= (const Vector4< T > & other)
-
- -

Conversion method.

- -

Definition at line 730 of file Vector4.cpp.

-
731 {
-
732  x = other.x;
-
733  y = other.y;
-
734  z = other.z;
-
735  w = other.w;
-
736 
-
737  return;
-
738 }
-
-
-
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◆ operator=() [2/2]

- -
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-
-template<typename T >
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- - - - - - - - -
void Vector4::operator= (Vector4< T > && other)
- 		-noexcept
-
- -

Definition at line 741 of file Vector4.cpp.

-
742 {
-
743  x = std::move(other.x);
-
744  y = std::move(other.y);
-
745  z = std::move(other.z);
-
746  w = std::move(other.w);
-
747 
-
748  return;
-
749 }
-
-
-
- -

◆ operator==()

- -
-
-
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- - - - - - - - -
bool Vector4::operator== (const Vector4< T > & other) const
-
- -

Definition at line 659 of file Vector4.cpp.

-
660 {
-
661  return
-
662  (x == other.x) &&
-
663  (y == other.y) &&
-
664  (z == other.z) &&
-
665  (w == other.w);
-
666 }
-
-
-
- -

◆ operator[]() [1/2]

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- - - - - - - - -
T & Vector4::operator[] (std::size_t idx)
-
- -

Definition at line 185 of file Vector4.cpp.

-
186 {
-
187  switch (idx)
-
188  {
-
189  case 0:
-
190  return x;
-
191  case 1:
-
192  return y;
-
193  case 2:
-
194  return z;
-
195  case 3:
-
196  return w;
-
197  default:
-
198  throw std::out_of_range("Array descriptor on Vector4<T> out of range!");
-
199  }
-
200 }
-
-
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const T & Vector4::operator[] (std::size_t idx) const
-
- -

Definition at line 203 of file Vector4.cpp.

-
204 {
-
205  switch (idx)
-
206  {
-
207  case 0:
-
208  return x;
-
209  case 1:
-
210  return y;
-
211  case 2:
-
212  return z;
-
213  case 3:
-
214  return w;
-
215  default:
-
216  throw std::out_of_range("Array descriptor on Vector4<T> out of range!");
-
217  }
-
218 }
-
-
-
- -

◆ Similar()

- -
-
-
-template<typename T >
- - - - - - - - - - - - - - - - - - -
bool Vector4::Similar (const Vector4< T > & other,
double epsilon = 0.00001 
) const
-
- -

Will compare if two vectors are similar to a certain epsilon value.

- -

Definition at line 162 of file Vector4.cpp.

-
163 {
-
164  return
-
165  (::Math::Similar(x, other.x, epsilon)) &&
-
166  (::Math::Similar(y, other.y, epsilon)) &&
-
167  (::Math::Similar(z, other.z, epsilon)) &&
-
168  (::Math::Similar(w, other.w, epsilon))
-
169  ;
-
170 }
-
-
-
- -

◆ SqrMagnitude()

- -
-
-
-template<typename T >
- - - - - - - -
double Vector4::SqrMagnitude () const
-
- -

Will compute the square magnitude.

- -

Definition at line 31 of file Vector4.cpp.

-
32 {
-
33  int iSqrMag = x*x + y*y + z*z + w*w;
-
34  return (double)iSqrMag;
-
35 }
-
-
-
- -

◆ ToDouble()

- -
-
-
-template<typename T >
- - - - -
Vector4< double > Vector4::ToDouble
-
- -

Will convert this vector to a Vector4d.

- -

Definition at line 179 of file Vector4.cpp.

-
180 {
-
181  return Vector4<double>((double)x, (double)y, (double)z, (double)w);
-
182 }
-
-
-
- -

◆ ToInt()

- -
-
-
-template<typename T >
- - - - -
Vector4< int > Vector4::ToInt
-
- -

Will convert this vector to a Vector4i.

- -

Definition at line 173 of file Vector4.cpp.

-
174 {
-
175  return Vector4<int>((int)x, (int)y, (int)z, (int)w);
-
176 }
-
-
-
- -

◆ VectorScale()

- -
-
-
-template<typename T >
- - - - - - - - -
Vector4< int > Vector4::VectorScale (const Vector4< T > & scalar) const
-
- -

Will scale self.n by scalar.n.

- -

Definition at line 79 of file Vector4.cpp.

-
80 {
-
81  return Vector4<int>(
-
82  x * scalar.x,
-
83  y * scalar.y,
-
84  z * scalar.z,
-
85  w * scalar.w
-
86  );
-
87 }
-
-
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-

Friends And Related Function Documentation

- -

◆ operator<< [1/2]

- -
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std::ostream& operator<< (std::ostream & os,
const Vector4< T > & v 
)
- 		-friend
-
- -

Definition at line 79 of file Vector4.h.

-
80  {
-
81  return os << "[x: " << v.x << " y: " << v.y << " z: " << v.z << " w: " << v.w << "]";
-
82  }
-
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std::wostream& operator<< (std::wostream & os,
const Vector4< T > & v 
)
- 		-friend
-
- -

Definition at line 83 of file Vector4.h.

-
84  {
-
85  return os << L"[x: " << v.x << L" y: " << v.y << L" z: " << v.z << L" w: " << v.w << L"]";
-
86  }
-
-
-
-

Member Data Documentation

- -

◆ backward

- -
-
-
-template<typename T >
- - - - - -
- - - - -
const Vector4< double > Vector4::backward
- 		-static
-
- -

Definition at line 99 of file Vector4.h.

- -
-
- -

◆ down

- -
-
-
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- - - - - -
- - - - -
const Vector4< double > Vector4::down
- 		-static
-
- -

Definition at line 95 of file Vector4.h.

- -
-
- -

◆ forward

- -
-
-
-template<typename T >
- - - - - -
- - - - -
const Vector4< double > Vector4::forward
- 		-static
-
- -

Definition at line 98 of file Vector4.h.

- -
-
- -

◆ future

- -
-
-
-template<typename T >
- - - - - -
- - - - -
const Vector4< double > Vector4::future
- 		-static
-
- -

Definition at line 100 of file Vector4.h.

- -
-
- -

◆ left

- -
-
-
-template<typename T >
- - - - - -
- - - - -
const Vector4< double > Vector4::left
- 		-static
-
- -

Definition at line 97 of file Vector4.h.

- -
-
- -

◆ one

- -
-
-
-template<typename T >
- - - - - -
- - - - -
const Vector4< double > Vector4::one
- 		-static
-
- -

Definition at line 102 of file Vector4.h.

- -
-
- -

◆ past

- -
-
-
-template<typename T >
- - - - - -
- - - - -
const Vector4< double > Vector4::past
- 		-static
-
- -

Definition at line 101 of file Vector4.h.

- -
-
- -

◆ right

- -
-
-
-template<typename T >
- - - - - -
- - - - -
const Vector4< double > Vector4::right
- 		-static
-
- -

Definition at line 96 of file Vector4.h.

- -
-
- -

◆ up

- -
-
-
-template<typename T >
- - - - - -
- - - - -
const Vector4< double > Vector4::up
- 		-static
-
- -

Definition at line 94 of file Vector4.h.

- -
-
- -

◆ w

- -
-
-
-template<typename T >
- - - - -
T Eule::Vector4< T >::w
-
- -

Definition at line 91 of file Vector4.h.

- -
-
- -

◆ x

- -
-
-
-template<typename T >
- - - - -
T Eule::Vector4< T >::x
-
- -

Definition at line 88 of file Vector4.h.

- -
-
- -

◆ y

- -
-
-
-template<typename T >
- - - - -
T Eule::Vector4< T >::y
-
- -

Definition at line 89 of file Vector4.h.

- -
-
- -

◆ z

- -
-
-
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- - - - -
T Eule::Vector4< T >::z
-
- -

Definition at line 90 of file Vector4.h.

- -
-
- -

◆ zero

- -
-
-
-template<typename T >
- - - - - -
- - - - -
const Vector4< double > Vector4::zero
- 		-static
-
- -

Definition at line 103 of file Vector4.h.

- -
-
-
The documentation for this class was generated from the following files: -
-
Eule::Vector3
Representation of a 3d vector.
Definition: Matrix4x4.h:9
-
Eule::Vector4::x
T x
Definition: Vector4.h:88
-
Eule::Vector4::z
T z
Definition: Vector4.h:90
-
Eule::Vector4::w
T w
Definition: Vector4.h:91
-
Eule::Vector4::ToDouble
Vector4< double > ToDouble() const
Will convert this vector to a Vector4d.
Definition: Vector4.cpp:179
-
Eule::Vector2
Representation of a 2d vector.
Definition: Vector2.h:14
-
Eule::Math::Similar
static constexpr bool Similar(const double a, const double b, const double epsilon=0.00001)
Compares two double values with a given accuracy.
Definition: Math.h:102
-
Eule::Vector4::operator==
bool operator==(const Vector4< T > &other) const
Definition: Vector4.cpp:659
-
Eule::Vector4::SqrMagnitude
double SqrMagnitude() const
Will compute the square magnitude.
Definition: Vector4.cpp:31
-
Eule::Vector4::y
T y
Definition: Vector4.h:89
-
Eule::Vector4< double >
- -
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Homemade math library, mainly targetted towards computer graphics
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file  Matrix4x4.h [code]
 
file  Quaternion.cpp [code]
 
file  Quaternion.h [code]
 
file  Rect.h [code]
 
file  TrapazoidalPrismCollider.cpp [code]
 
file  TrapazoidalPrismCollider.h [code]
 
file  Vector2.cpp [code]
 
file  Vector2.h [code]
 
file  Vector3.cpp [code]
 
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Homemade math library, mainly targetted towards computer graphics
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x64 Directory Reference
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directory  Debug
 
directory  Release
 
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Leonetienne/Eule -
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Homemade math library, mainly targetted towards computer graphics
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Debug Directory Reference
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Leonetienne/Eule -
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Homemade math library, mainly targetted towards computer graphics
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Debug Directory Reference
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 ▼ Eule
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Graph Legend
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This page explains how to interpret the graphs that are generated by doxygen.

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Consider the following example:

/*! Invisible class because of truncation */
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class Invisible { };
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[detail level 12]
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 ▼CEule::ColliderAbstract class of a collider domain
 CEule::TrapazoidalPrismColliderA collider describing a trapazoidal prism
 CEule::MathMath utility class containing basic functions
 CEule::Matrix4x4A matrix 4x4 class representing a 3d transformation
 CEule::Quaternion3D rotation representation
 CEule::RectTrivial data structure representing a rectangle
 CEule::Vector2< T >Representation of a 2d vector
 CEule::Vector2< double >
 CEule::Vector3< T >Representation of a 3d vector
 CEule::Vector3< double >
 CEule::Vector4< T >Representation of a 4d vector
 CEule::Vector4< double >
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Homemade math library, mainly targetted towards computer graphics
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+++ /dev/null @@ -1,50 +0,0 @@ -/* - @licstart The following is the entire license notice for the - JavaScript code in this file. - - Copyright (C) 1997-2017 by Dimitri van Heesch - - This program is free software; you can redistribute it and/or modify - it under the terms of the GNU General Public License as published by - the Free Software Foundation; either version 2 of the License, or - (at your option) any later version. - - This program is distributed in the hope that it will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - GNU General Public License for more details. - - You should have received a copy of the GNU General Public License along - with this program; if not, write to the Free Software Foundation, Inc., - 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA. - - @licend The above is the entire license notice - for the JavaScript code in this file - */ -function initMenu(relPath,searchEnabled,serverSide,searchPage,search) { - function makeTree(data,relPath) { - var result=''; - if ('children' in data) { - result+=''; - } - return result; - } - - $('#main-nav').append(makeTree(menudata,relPath)); - $('#main-nav').children(':first').addClass('sm sm-dox').attr('id','main-menu'); - if (searchEnabled) { - if (serverSide) { - $('#main-menu').append('
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    -
    - - - - - - -
    -
    Leonetienne/Eule -
    -
    Homemade math library, mainly targetted towards computer graphics
    -
    -
    - - - - - - - - -
    -
    - - -
    - -
    - -
    -
    -
    -Classes | -Typedefs | -Functions
    -
    -
    Eule Namespace Reference
    -
    -
    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

    -Classes

    class  Collider
     Abstract class of a collider domain. More...
     
    class  Math
     Math utility class containing basic functions. More...
     
    class  Matrix4x4
     A matrix 4x4 class representing a 3d transformation. More...
     
    class  Quaternion
     3D rotation representation More...
     
    struct  Rect
     Trivial data structure representing a rectangle. More...
     
    class  TrapazoidalPrismCollider
     A collider describing a trapazoidal prism. More...
     
    class  Vector2
     Representation of a 2d vector. More...
     
    class  Vector3
     Representation of a 3d vector. More...
     
    class  Vector4
     Representation of a 4d vector. More...
     
    - - - - - - - - - - - - - -

    -Typedefs

    typedef Vector3< double > Vector3d
     
    typedef Vector2< int > Vector2i
     
    typedef Vector2< double > Vector2d
     
    typedef Vector3< int > Vector3i
     
    typedef Vector4< int > Vector4i
     
    typedef Vector4< double > Vector4d
     
    - - - - - - - - - -

    -Functions

    std::ostream & operator<< (std::ostream &os, const Matrix4x4 &m)
     
    std::wostream & operator<< (std::wostream &os, const Matrix4x4 &m)
     
    std::ostream & operator<< (std::ostream &os, const Quaternion &q)
     
    std::wostream & operator<< (std::wostream &os, const Quaternion &q)
     
    -

    Typedef Documentation

    - -

    ◆ Vector2d

    - -
    -
    - - - - -
    typedef Vector2<double> Eule::Vector2d
    -
    - -

    Definition at line 102 of file Vector2.h.

    - -
    -
    - -

    ◆ Vector2i

    - -
    -
    - - - - -
    typedef Vector2<int> Eule::Vector2i
    -
    - -

    Definition at line 101 of file Vector2.h.

    - -
    -
    - -

    ◆ Vector3d

    - -
    -
    - - - - -
    typedef Vector3< double > Eule::Vector3d
    -
    - -

    Definition at line 9 of file Matrix4x4.h.

    - -
    -
    - -

    ◆ Vector3i

    - -
    -
    - - - - -
    typedef Vector3<int> Eule::Vector3i
    -
    - -

    Definition at line 109 of file Vector3.h.

    - -
    -
    - -

    ◆ Vector4d

    - -
    -
    - - - - -
    typedef Vector4<double> Eule::Vector4d
    -
    - -

    Definition at line 107 of file Vector4.h.

    - -
    -
    - -

    ◆ Vector4i

    - -
    -
    - - - - -
    typedef Vector4<int> Eule::Vector4i
    -
    - -

    Definition at line 106 of file Vector4.h.

    - -
    -
    -

    Function Documentation

    - -

    ◆ operator<<() [1/4]

    - -
    -
    - - - - - - - - - - - - - - - - - - -
    std::ostream& Eule::operator<< (std::ostream & os,
    const Matrix4x4 & m 
    )
    -
    - -

    Definition at line 620 of file Matrix4x4.cpp.

    -
    621  {
    -
    622  os << std::endl;
    -
    623 
    -
    624  for (std::size_t y = 0; y < 4; y++)
    -
    625  {
    -
    626  for (std::size_t x = 0; x < 4; x++)
    -
    627  os << " | " << m[y][x];
    -
    628 
    -
    629  os << " |" << std::endl;
    -
    630  }
    -
    631 
    -
    632  return os;
    -
    633  }
    -
    -
    -
    - -

    ◆ operator<<() [2/4]

    - -
    -
    - - - - - - - - - - - - - - - - - - -
    std::ostream& Eule::operator<< (std::ostream & os,
    const Quaternion & q 
    )
    -
    - -

    Definition at line 325 of file Quaternion.cpp.

    -
    326  {
    -
    327  os << "[" << q.v << "]";
    -
    328  return os;
    -
    329  }
    -
    -
    -
    - -

    ◆ operator<<() [3/4]

    - -
    -
    - - - - - - - - - - - - - - - - - - -
    std::wostream& Eule::operator<< (std::wostream & os,
    const Matrix4x4 & m 
    )
    -
    - -

    Definition at line 635 of file Matrix4x4.cpp.

    -
    636  {
    -
    637  os << std::endl;
    -
    638 
    -
    639  for (std::size_t y = 0; y < 4; y++)
    -
    640  {
    -
    641  for (std::size_t x = 0; x < 4; x++)
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