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Исправления в матрицах 2x3 и 3x2 / Several fixes in 2x3 and 3x2 matrixes

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This commit is contained in:
Andrey Pokidov 2024-11-14 14:13:29 +07:00
parent 3ba55c7524
commit 301cabe8de
22 changed files with 3805 additions and 3744 deletions
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26
Geometry/DPMatrix2x3.cs
View file

@ -28,7 +28,8 @@ namespace Geometry
public double r2c1, r2c2; public double r2c1, r2c2;
public double r3c1, r3c2; public double r3c1, r3c2;
public DPMatrix2x3() { public DPMatrix2x3()
{
this.r1c1 = 0.0; this.r1c1 = 0.0;
this.r1c2 = 0.0; this.r1c2 = 0.0;
@ -39,7 +40,8 @@ namespace Geometry
this.r3c2 = 0.0; this.r3c2 = 0.0;
} }
public DPMatrix2x3(in DPMatrix2x3 matrix) { public DPMatrix2x3(in DPMatrix2x3 matrix)
{
this.r1c1 = matrix.r1c1; this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r1c2; this.r1c2 = matrix.r1c2;
@ -50,7 +52,8 @@ namespace Geometry
this.r3c2 = matrix.r3c2; this.r3c2 = matrix.r3c2;
} }
public DPMatrix2x3(in SPMatrix2x3 matrix) { public DPMatrix2x3(in SPMatrix2x3 matrix)
{
this.r1c1 = matrix.r1c1; this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r1c2; this.r1c2 = matrix.r1c2;
@ -351,22 +354,15 @@ namespace Geometry
public static void GetRightProduct(in DPMatrix2x3 matrix, in DPVector2 vector, out DPVector3 result) public static void GetRightProduct(in DPMatrix2x3 matrix, in DPVector2 vector, out DPVector3 result)
{ {
double x1 = matrix.r1c1 * vector.x1 + matrix.r1c2 * vector.x2; result.x1 = matrix.r1c1 * vector.x1 + matrix.r1c2 * vector.x2;
double x2 = matrix.r2c1 * vector.x1 + matrix.r2c2 * vector.x2; result.x2 = matrix.r2c1 * vector.x1 + matrix.r2c2 * vector.x2;
double x3 = matrix.r3c1 * vector.x1 + matrix.r3c2 * vector.x2; result.x3 = matrix.r3c1 * vector.x1 + matrix.r3c2 * vector.x2;
result.x1 = x1;
result.x2 = x2;
result.x3 = x3;
} }
public static void GetLeftProduct(in DPVector3 vector, in DPMatrix2x3 matrix, out DPVector2 result) public static void GetLeftProduct(in DPVector3 vector, in DPMatrix2x3 matrix, out DPVector2 result)
{ {
double x1 = vector.x1 * matrix.r1c1 + vector.x2 * matrix.r2c1 + vector.x3 * matrix.r3c1; result.x1 = vector.x1 * matrix.r1c1 + vector.x2 * matrix.r2c1 + vector.x3 * matrix.r3c1;
double x2 = vector.x1 * matrix.r1c2 + vector.x2 * matrix.r2c2 + vector.x3 * matrix.r3c2; result.x2 = vector.x1 * matrix.r1c2 + vector.x2 * matrix.r2c2 + vector.x3 * matrix.r3c2;
result.x1 = x1;
result.x2 = x2;
} }
} }
} }

160
Geometry/DPMatrix3x2.cs
View file

@ -22,11 +22,9 @@ using System;
*/ */
namespace Geometry namespace Geometry
{ {
public struct DPMatrix3x2 public struct DPMatrix3x2
{ {
public double r1c1, r1c2, r1c3; public double r1c1, r1c2, r1c3;
public double r2c1, r2c2, r2c3; public double r2c1, r2c2, r2c3;
public DPMatrix3x2() public DPMatrix3x2()
@ -73,7 +71,8 @@ public struct DPMatrix3x2
this.r2c3 = matrix.r2c2; this.r2c3 = matrix.r2c2;
} }
public DPMatrix3x2(in SPMatrix2x3 matrix) { public DPMatrix3x2(in SPMatrix2x3 matrix)
{
this.r1c1 = matrix.r1c1; this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r2c1; this.r1c2 = matrix.r2c1;
this.r1c3 = matrix.r3c1; this.r1c3 = matrix.r3c1;
@ -83,7 +82,8 @@ public struct DPMatrix3x2
this.r2c3 = matrix.r2c2; this.r2c3 = matrix.r2c2;
} }
public void Reset() { public void Reset()
{
this.r1c1 = 0.0; this.r1c1 = 0.0;
this.r1c2 = 0.0; this.r1c2 = 0.0;
this.r1c3 = 0.0; this.r1c3 = 0.0;
@ -94,7 +94,8 @@ public struct DPMatrix3x2
} }
public void SetValues(in DPMatrix3x2 matrix) { public void SetValues(in DPMatrix3x2 matrix)
{
this.r1c1 = matrix.r1c1; this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r1c2; this.r1c2 = matrix.r1c2;
this.r1c3 = matrix.r1c3; this.r1c3 = matrix.r1c3;
@ -104,7 +105,8 @@ public struct DPMatrix3x2
this.r2c3 = matrix.r2c3; this.r2c3 = matrix.r2c3;
} }
public void SetValues(SPMatrix3x2 matrix) { public void SetValues(in SPMatrix3x2 matrix)
{
this.r1c1 = matrix.r1c1; this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r1c2; this.r1c2 = matrix.r1c2;
this.r1c3 = matrix.r1c3; this.r1c3 = matrix.r1c3;
@ -114,7 +116,8 @@ public struct DPMatrix3x2
this.r2c3 = matrix.r2c3; this.r2c3 = matrix.r2c3;
} }
public void SetTransposed(DPMatrix2x3 matrix) { public void SetTransposed(in DPMatrix2x3 matrix)
{
this.r1c1 = matrix.r1c1; this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r2c1; this.r1c2 = matrix.r2c1;
this.r1c3 = matrix.r3c1; this.r1c3 = matrix.r3c1;
@ -124,7 +127,8 @@ public struct DPMatrix3x2
this.r2c3 = matrix.r2c2; this.r2c3 = matrix.r2c2;
} }
public void SetTransposed(SPMatrix2x3 matrix) { public void SetTransposed(in SPMatrix2x3 matrix)
{
this.r1c1 = matrix.r1c1; this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r2c1; this.r1c2 = matrix.r2c1;
this.r1c3 = matrix.r3c1; this.r1c3 = matrix.r3c1;
@ -134,34 +138,40 @@ public struct DPMatrix3x2
this.r2c3 = matrix.r2c2; this.r2c3 = matrix.r2c2;
} }
public void SetRow1(double c1, double c2, double c3) { public void SetRow1(double c1, double c2, double c3)
{
this.r1c1 = c1; this.r1c1 = c1;
this.r1c2 = c2; this.r1c2 = c2;
this.r1c3 = c3; this.r1c3 = c3;
} }
public void SetRow2(double c1, double c2, double c3) { public void SetRow2(double c1, double c2, double c3)
{
this.r2c1 = c1; this.r2c1 = c1;
this.r2c2 = c2; this.r2c2 = c2;
this.r2c3 = c3; this.r2c3 = c3;
} }
public void SetColumn1(double r1, double r2) { public void SetColumn1(double r1, double r2)
{
this.r1c1 = r1; this.r1c1 = r1;
this.r2c1 = r2; this.r2c1 = r2;
} }
public void SetColumn2(double r1, double r2) { public void SetColumn2(double r1, double r2)
{
this.r1c3 = r1; this.r1c3 = r1;
this.r2c3 = r2; this.r2c3 = r2;
} }
public void SetColumn3(double r1, double r2) { public void SetColumn3(double r1, double r2)
{
this.r1c3 = r1; this.r1c3 = r1;
this.r2c3 = r2; this.r2c3 = r2;
} }
public static void Add(DPMatrix3x2 matrix1, DPMatrix3x2 matrix2, DPMatrix3x2 sum) { public static void Add(in DPMatrix3x2 matrix1, in DPMatrix3x2 matrix2, out DPMatrix3x2 sum)
{
sum.r1c1 = matrix1.r1c1 + matrix2.r1c1; sum.r1c1 = matrix1.r1c1 + matrix2.r1c1;
sum.r1c2 = matrix1.r1c2 + matrix2.r1c2; sum.r1c2 = matrix1.r1c2 + matrix2.r1c2;
sum.r1c3 = matrix1.r1c3 + matrix2.r1c3; sum.r1c3 = matrix1.r1c3 + matrix2.r1c3;
@ -172,11 +182,12 @@ public struct DPMatrix3x2
} }
public static void Add3( public static void Add3(
DPMatrix3x2 matrix1, in DPMatrix3x2 matrix1,
DPMatrix3x2 matrix2, in DPMatrix3x2 matrix2,
DPMatrix3x2 matrix3, in DPMatrix3x2 matrix3,
DPMatrix3x2 sum out DPMatrix3x2 sum
) { )
{
sum.r1c1 = matrix1.r1c1 + matrix2.r1c1 + matrix3.r1c1; sum.r1c1 = matrix1.r1c1 + matrix2.r1c1 + matrix3.r1c1;
sum.r1c2 = matrix1.r1c2 + matrix2.r1c2 + matrix3.r1c2; sum.r1c2 = matrix1.r1c2 + matrix2.r1c2 + matrix3.r1c2;
sum.r1c3 = matrix1.r1c3 + matrix2.r1c3 + matrix3.r1c3; sum.r1c3 = matrix1.r1c3 + matrix2.r1c3 + matrix3.r1c3;
@ -187,12 +198,13 @@ public struct DPMatrix3x2
} }
public static void Add4( public static void Add4(
DPMatrix3x2 matrix1, in DPMatrix3x2 matrix1,
DPMatrix3x2 matrix2, in DPMatrix3x2 matrix2,
DPMatrix3x2 matrix3, in DPMatrix3x2 matrix3,
DPMatrix3x2 matrix4, in DPMatrix3x2 matrix4,
DPMatrix3x2 sum out DPMatrix3x2 sum
) { )
{
sum.r1c1 = (matrix1.r1c1 + matrix2.r1c1) + (matrix3.r1c1 + matrix4.r1c1); sum.r1c1 = (matrix1.r1c1 + matrix2.r1c1) + (matrix3.r1c1 + matrix4.r1c1);
sum.r1c2 = (matrix1.r1c2 + matrix2.r1c2) + (matrix3.r1c2 + matrix4.r1c2); sum.r1c2 = (matrix1.r1c2 + matrix2.r1c2) + (matrix3.r1c2 + matrix4.r1c2);
sum.r1c3 = (matrix1.r1c3 + matrix2.r1c3) + (matrix3.r1c3 + matrix4.r1c3); sum.r1c3 = (matrix1.r1c3 + matrix2.r1c3) + (matrix3.r1c3 + matrix4.r1c3);
@ -203,13 +215,14 @@ public struct DPMatrix3x2
} }
public static void Add5( public static void Add5(
DPMatrix3x2 matrix1, in DPMatrix3x2 matrix1,
DPMatrix3x2 matrix2, in DPMatrix3x2 matrix2,
DPMatrix3x2 matrix3, in DPMatrix3x2 matrix3,
DPMatrix3x2 matrix4, in DPMatrix3x2 matrix4,
DPMatrix3x2 matrix5, in DPMatrix3x2 matrix5,
DPMatrix3x2 sum out DPMatrix3x2 sum
) { )
{
sum.r1c1 = (matrix1.r1c1 + matrix2.r1c1) + (matrix3.r1c1 + matrix4.r1c1) + matrix5.r1c1; sum.r1c1 = (matrix1.r1c1 + matrix2.r1c1) + (matrix3.r1c1 + matrix4.r1c1) + matrix5.r1c1;
sum.r1c2 = (matrix1.r1c2 + matrix2.r1c2) + (matrix3.r1c2 + matrix4.r1c2) + matrix5.r1c2; sum.r1c2 = (matrix1.r1c2 + matrix2.r1c2) + (matrix3.r1c2 + matrix4.r1c2) + matrix5.r1c2;
sum.r1c3 = (matrix1.r1c3 + matrix2.r1c3) + (matrix3.r1c3 + matrix4.r1c3) + matrix5.r1c3; sum.r1c3 = (matrix1.r1c3 + matrix2.r1c3) + (matrix3.r1c3 + matrix4.r1c3) + matrix5.r1c3;
@ -219,7 +232,8 @@ public struct DPMatrix3x2
sum.r2c3 = (matrix1.r2c3 + matrix2.r2c3) + (matrix3.r2c3 + matrix4.r2c3) + matrix5.r2c3; sum.r2c3 = (matrix1.r2c3 + matrix2.r2c3) + (matrix3.r2c3 + matrix4.r2c3) + matrix5.r2c3;
} }
public static void Subtract(DPMatrix3x2 minuend, DPMatrix3x2 subtrahend, DPMatrix3x2 difference) { public static void Subtract(in DPMatrix3x2 minuend, in DPMatrix3x2 subtrahend, out DPMatrix3x2 difference)
{
difference.r1c1 = minuend.r1c1 - subtrahend.r1c1; difference.r1c1 = minuend.r1c1 - subtrahend.r1c1;
difference.r1c2 = minuend.r1c2 - subtrahend.r1c2; difference.r1c2 = minuend.r1c2 - subtrahend.r1c2;
difference.r1c3 = minuend.r1c3 - subtrahend.r1c3; difference.r1c3 = minuend.r1c3 - subtrahend.r1c3;
@ -230,10 +244,11 @@ public struct DPMatrix3x2
} }
public static void GetWeightedSum2( public static void GetWeightedSum2(
double weight1, DPMatrix3x2 matrix1, double weight1, in DPMatrix3x2 matrix1,
double weight2, DPMatrix3x2 matrix2, double weight2, in DPMatrix3x2 matrix2,
DPMatrix3x2 sum out DPMatrix3x2 sum
) { )
{
sum.r1c1 = matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2; sum.r1c1 = matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2;
sum.r1c2 = matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2; sum.r1c2 = matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2;
sum.r1c3 = matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2; sum.r1c3 = matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2;
@ -244,11 +259,12 @@ public struct DPMatrix3x2
} }
public static void GetWeightedSum3( public static void GetWeightedSum3(
double weight1, DPMatrix3x2 matrix1, double weight1, in DPMatrix3x2 matrix1,
double weight2, DPMatrix3x2 matrix2, double weight2, in DPMatrix3x2 matrix2,
double weight3, DPMatrix3x2 matrix3, double weight3, in DPMatrix3x2 matrix3,
DPMatrix3x2 sum out DPMatrix3x2 sum
) { )
{
sum.r1c1 = matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2 + matrix3.r1c1 * weight3; sum.r1c1 = matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2 + matrix3.r1c1 * weight3;
sum.r1c2 = matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2 + matrix3.r1c2 * weight3; sum.r1c2 = matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2 + matrix3.r1c2 * weight3;
sum.r1c3 = matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2 + matrix3.r1c3 * weight3; sum.r1c3 = matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2 + matrix3.r1c3 * weight3;
@ -259,12 +275,13 @@ public struct DPMatrix3x2
} }
public static void GetWeightedSum4( public static void GetWeightedSum4(
double weight1, DPMatrix3x2 matrix1, double weight1, in DPMatrix3x2 matrix1,
double weight2, DPMatrix3x2 matrix2, double weight2, in DPMatrix3x2 matrix2,
double weight3, DPMatrix3x2 matrix3, double weight3, in DPMatrix3x2 matrix3,
double weight4, DPMatrix3x2 matrix4, double weight4, in DPMatrix3x2 matrix4,
DPMatrix3x2 sum out DPMatrix3x2 sum
) { )
{
sum.r1c1 = (matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2) + (matrix3.r1c1 * weight3 + matrix4.r1c1 * weight4); sum.r1c1 = (matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2) + (matrix3.r1c1 * weight3 + matrix4.r1c1 * weight4);
sum.r1c2 = (matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2) + (matrix3.r1c2 * weight3 + matrix4.r1c2 * weight4); sum.r1c2 = (matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2) + (matrix3.r1c2 * weight3 + matrix4.r1c2 * weight4);
sum.r1c3 = (matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2) + (matrix3.r1c3 * weight3 + matrix4.r1c3 * weight4); sum.r1c3 = (matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2) + (matrix3.r1c3 * weight3 + matrix4.r1c3 * weight4);
@ -275,13 +292,14 @@ public struct DPMatrix3x2
} }
public static void GetWeightedSum5( public static void GetWeightedSum5(
double weight1, DPMatrix3x2 matrix1, double weight1, in DPMatrix3x2 matrix1,
double weight2, DPMatrix3x2 matrix2, double weight2, in DPMatrix3x2 matrix2,
double weight3, DPMatrix3x2 matrix3, double weight3, in DPMatrix3x2 matrix3,
double weight4, DPMatrix3x2 matrix4, double weight4, in DPMatrix3x2 matrix4,
double weight5, DPMatrix3x2 matrix5, double weight5, in DPMatrix3x2 matrix5,
DPMatrix3x2 sum out DPMatrix3x2 sum
) { )
{
sum.r1c1 = (matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2) + (matrix3.r1c1 * weight3 + matrix4.r1c1 * weight4) + matrix5.r1c1 * weight5; sum.r1c1 = (matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2) + (matrix3.r1c1 * weight3 + matrix4.r1c1 * weight4) + matrix5.r1c1 * weight5;
sum.r1c2 = (matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2) + (matrix3.r1c2 * weight3 + matrix4.r1c2 * weight4) + matrix5.r1c2 * weight5; sum.r1c2 = (matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2) + (matrix3.r1c2 * weight3 + matrix4.r1c2 * weight4) + matrix5.r1c2 * weight5;
sum.r1c3 = (matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2) + (matrix3.r1c3 * weight3 + matrix4.r1c3 * weight4) + matrix5.r1c3 * weight5; sum.r1c3 = (matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2) + (matrix3.r1c3 * weight3 + matrix4.r1c3 * weight4) + matrix5.r1c3 * weight5;
@ -291,7 +309,8 @@ public struct DPMatrix3x2
sum.r2c3 = (matrix1.r2c3 * weight1 + matrix2.r2c3 * weight2) + (matrix3.r2c3 * weight3 + matrix4.r2c3 * weight4) + matrix5.r2c3 * weight5; sum.r2c3 = (matrix1.r2c3 * weight1 + matrix2.r2c3 * weight2) + (matrix3.r2c3 * weight3 + matrix4.r2c3 * weight4) + matrix5.r2c3 * weight5;
} }
public static void Multiply(DPMatrix3x2 multiplicand, double multiplier, DPMatrix3x2 product) { public static void Multiply(in DPMatrix3x2 multiplicand, double multiplier, out DPMatrix3x2 product)
{
product.r1c1 = multiplicand.r1c1 * multiplier; product.r1c1 = multiplicand.r1c1 * multiplier;
product.r1c2 = multiplicand.r1c2 * multiplier; product.r1c2 = multiplicand.r1c2 * multiplier;
product.r1c3 = multiplicand.r1c3 * multiplier; product.r1c3 = multiplicand.r1c3 * multiplier;
@ -301,7 +320,8 @@ public struct DPMatrix3x2
product.r2c3 = multiplicand.r2c3 * multiplier; product.r2c3 = multiplicand.r2c3 * multiplier;
} }
public static void Divide(DPMatrix3x2 dividend, double divisor, DPMatrix3x2 quotient) { public static void Divide(in DPMatrix3x2 dividend, double divisor, out DPMatrix3x2 quotient)
{
quotient.r1c1 = dividend.r1c1 / divisor; quotient.r1c1 = dividend.r1c1 / divisor;
quotient.r1c2 = dividend.r1c2 / divisor; quotient.r1c2 = dividend.r1c2 / divisor;
quotient.r1c3 = dividend.r1c3 / divisor; quotient.r1c3 = dividend.r1c3 / divisor;
@ -311,19 +331,17 @@ public struct DPMatrix3x2
quotient.r2c3 = dividend.r2c3 / divisor; quotient.r2c3 = dividend.r2c3 / divisor;
} }
public static void GetRightProduct(DPMatrix3x2 matrix, DPVector3 vector, DPVector2 result) { public static void GetRightProduct(in DPMatrix3x2 matrix, in DPVector3 vector, out DPVector2 result)
result.SetValues( {
matrix.r1c1 * vector.x1 + matrix.r1c2 * vector.x2 + matrix.r1c3 * vector.x3, result.x1 = matrix.r1c1 * vector.x1 + matrix.r1c2 * vector.x2 + matrix.r1c3 * vector.x3;
matrix.r2c1 * vector.x1 + matrix.r2c2 * vector.x2 + matrix.r2c3 * vector.x3 result.x2 = matrix.r2c1 * vector.x1 + matrix.r2c2 * vector.x2 + matrix.r2c3 * vector.x3;
);
} }
public static void GetLeftProduct(DPVector2 vector, DPMatrix3x2 matrix, DPVector3 result) { public static void GetLeftProduct(in DPVector2 vector, in DPMatrix3x2 matrix, out DPVector3 result)
result.SetValues( {
vector.x1 * matrix.r1c1 + vector.x2 * matrix.r2c1, result.x1 = vector.x1 * matrix.r1c1 + vector.x2 * matrix.r2c1;
vector.x1 * matrix.r1c2 + vector.x2 * matrix.r2c2, result.x2 = vector.x1 * matrix.r1c2 + vector.x2 * matrix.r2c2;
vector.x1 * matrix.r1c3 + vector.x2 * matrix.r2c3 result.x3 = vector.x1 * matrix.r1c3 + vector.x2 * matrix.r2c3;
); }
} }
} }
}

44
Geometry/DPMatrixProduct.cs
View file

@ -81,29 +81,17 @@ namespace Geometry
public static void Get2x3At3x2(in DPMatrix2x3 left, in DPMatrix3x2 right, out DPMatrix3x3 product) public static void Get2x3At3x2(in DPMatrix2x3 left, in DPMatrix3x2 right, out DPMatrix3x3 product)
{ {
double r1c1 = left.r1c1 * right.r1c1 + left.r1c2 * right.r2c1; product.r1c1 = left.r1c1 * right.r1c1 + left.r1c2 * right.r2c1;
double r1c2 = left.r1c1 * right.r1c2 + left.r1c2 * right.r2c2; product.r1c2 = left.r1c1 * right.r1c2 + left.r1c2 * right.r2c2;
double r1c3 = left.r1c1 * right.r1c3 + left.r1c2 * right.r2c3; product.r1c3 = left.r1c1 * right.r1c3 + left.r1c2 * right.r2c3;
double r2c1 = left.r2c1 * right.r1c1 + left.r2c2 * right.r2c1; product.r2c1 = left.r2c1 * right.r1c1 + left.r2c2 * right.r2c1;
double r2c2 = left.r2c1 * right.r1c2 + left.r2c2 * right.r2c2; product.r2c2 = left.r2c1 * right.r1c2 + left.r2c2 * right.r2c2;
double r2c3 = left.r2c1 * right.r1c3 + left.r2c2 * right.r2c3; product.r2c3 = left.r2c1 * right.r1c3 + left.r2c2 * right.r2c3;
double r3c1 = left.r3c1 * right.r1c1 + left.r3c2 * right.r2c1; product.r3c1 = left.r3c1 * right.r1c1 + left.r3c2 * right.r2c1;
double r3c2 = left.r3c1 * right.r1c2 + left.r3c2 * right.r2c2; product.r3c2 = left.r3c1 * right.r1c2 + left.r3c2 * right.r2c2;
double r3c3 = left.r3c1 * right.r1c2 + left.r3c2 * right.r2c3; product.r3c3 = left.r3c1 * right.r1c2 + left.r3c2 * right.r2c3;
product.r1c1 = r1c1;
product.r1c2 = r1c2;
product.r1c3 = r1c3;
product.r2c1 = r2c1;
product.r2c2 = r2c2;
product.r2c3 = r2c3;
product.r3c1 = r3c1;
product.r3c2 = r3c2;
product.r3c3 = r3c3;
} }
public static void Get3x2At3x3(in DPMatrix3x2 left, in DPMatrix3x3 right, out DPMatrix3x2 product) public static void Get3x2At3x3(in DPMatrix3x2 left, in DPMatrix3x3 right, out DPMatrix3x2 product)
@ -127,17 +115,11 @@ namespace Geometry
public static void Get3x2At2x3(in DPMatrix3x2 left, in DPMatrix2x3 right, out DPMatrix2x2 product) public static void Get3x2At2x3(in DPMatrix3x2 left, in DPMatrix2x3 right, out DPMatrix2x2 product)
{ {
double r1c1 = left.r1c1 * right.r1c1 + left.r1c2 * right.r2c1 + left.r1c3 * right.r3c1; product.r1c1 = left.r1c1 * right.r1c1 + left.r1c2 * right.r2c1 + left.r1c3 * right.r3c1;
double r1c2 = left.r1c1 * right.r1c2 + left.r1c2 * right.r2c2 + left.r1c3 * right.r3c2; product.r1c2 = left.r1c1 * right.r1c2 + left.r1c2 * right.r2c2 + left.r1c3 * right.r3c2;
double r2c1 = left.r2c1 * right.r1c1 + left.r2c2 * right.r2c1 + left.r2c3 * right.r3c1; product.r2c1 = left.r2c1 * right.r1c1 + left.r2c2 * right.r2c1 + left.r2c3 * right.r3c1;
double r2c2 = left.r2c1 * right.r1c2 + left.r2c2 * right.r2c2 + left.r2c3 * right.r3c2; product.r2c2 = left.r2c1 * right.r1c2 + left.r2c2 * right.r2c2 + left.r2c3 * right.r3c2;
product.r1c1 = r1c1;
product.r1c2 = r1c2;
product.r2c1 = r2c1;
product.r2c2 = r2c2;
} }
public static void Get3x3At2x3(in DPMatrix3x3 left, in DPMatrix2x3 right, out DPMatrix2x3 product) public static void Get3x3At2x3(in DPMatrix3x3 left, in DPMatrix2x3 right, out DPMatrix2x3 product)

183
Geometry/SPMatrix2x3.cs
View file

@ -22,13 +22,14 @@ using System;
*/ */
namespace Geometry namespace Geometry
{ {
public struct SPMatrix2x3 { public struct SPMatrix2x3
{
public float r1c1, r1c2; public float r1c1, r1c2;
public float r2c1, r2c2; public float r2c1, r2c2;
public float r3c1, r3c2; public float r3c1, r3c2;
public SPMatrix2x3() { public SPMatrix2x3()
{
this.r1c1 = 0.0f; this.r1c1 = 0.0f;
this.r1c2 = 0.0f; this.r1c2 = 0.0f;
@ -39,7 +40,8 @@ public struct SPMatrix2x3 {
this.r3c2 = 0.0f; this.r3c2 = 0.0f;
} }
public SPMatrix2x3(SPMatrix2x3 matrix) { public SPMatrix2x3(in SPMatrix2x3 matrix)
{
this.r1c1 = matrix.r1c1; this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r1c2; this.r1c2 = matrix.r1c2;
@ -50,7 +52,8 @@ public struct SPMatrix2x3 {
this.r3c2 = matrix.r3c2; this.r3c2 = matrix.r3c2;
} }
public SPMatrix2x3(DPMatrix2x3 matrix) { public SPMatrix2x3(in DPMatrix2x3 matrix)
{
this.r1c1 = (float) matrix.r1c1; this.r1c1 = (float) matrix.r1c1;
this.r1c2 = (float) matrix.r1c2; this.r1c2 = (float) matrix.r1c2;
@ -61,7 +64,8 @@ public struct SPMatrix2x3 {
this.r3c2 = (float) matrix.r3c2; this.r3c2 = (float) matrix.r3c2;
} }
public SPMatrix2x3(SPMatrix3x2 matrix) { public SPMatrix2x3(in SPMatrix3x2 matrix)
{
this.r1c1 = matrix.r1c1; this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r2c1; this.r1c2 = matrix.r2c1;
@ -72,7 +76,8 @@ public struct SPMatrix2x3 {
this.r3c2 = matrix.r2c3; this.r3c2 = matrix.r2c3;
} }
public SPMatrix2x3(DPMatrix3x2 matrix) { public SPMatrix2x3(in DPMatrix3x2 matrix)
{
this.r1c1 = (float) matrix.r1c1; this.r1c1 = (float) matrix.r1c1;
this.r1c2 = (float) matrix.r2c1; this.r1c2 = (float) matrix.r2c1;
@ -83,7 +88,8 @@ public struct SPMatrix2x3 {
this.r3c2 = (float) matrix.r2c3; this.r3c2 = (float) matrix.r2c3;
} }
public void Reset() { public void Reset()
{
this.r1c1 = 0.0f; this.r1c1 = 0.0f;
this.r1c2 = 0.0f; this.r1c2 = 0.0f;
@ -94,7 +100,8 @@ public struct SPMatrix2x3 {
this.r3c2 = 0.0f; this.r3c2 = 0.0f;
} }
public void SetValues(SPMatrix2x3 matrix) { public void SetValues(in SPMatrix2x3 matrix)
{
this.r1c1 = matrix.r1c1; this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r1c2; this.r1c2 = matrix.r1c2;
@ -105,7 +112,8 @@ public struct SPMatrix2x3 {
this.r3c2 = matrix.r3c2; this.r3c2 = matrix.r3c2;
} }
public void SetValues(DPMatrix2x3 matrix) { public void SetValues(in DPMatrix2x3 matrix)
{
this.r1c1 = (float) matrix.r1c1; this.r1c1 = (float) matrix.r1c1;
this.r1c2 = (float) matrix.r1c2; this.r1c2 = (float) matrix.r1c2;
@ -116,7 +124,8 @@ public struct SPMatrix2x3 {
this.r3c2 = (float) matrix.r3c2; this.r3c2 = (float) matrix.r3c2;
} }
public void SetTransposed(SPMatrix3x2 matrix) { public void SetTransposed(in SPMatrix3x2 matrix)
{
this.r1c1 = matrix.r1c1; this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r2c1; this.r1c2 = matrix.r2c1;
@ -127,7 +136,8 @@ public struct SPMatrix2x3 {
this.r3c2 = matrix.r2c3; this.r3c2 = matrix.r2c3;
} }
public void SetTransposed(DPMatrix3x2 matrix) { public void SetTransposed(in DPMatrix3x2 matrix)
{
this.r1c1 = (float) matrix.r1c1; this.r1c1 = (float) matrix.r1c1;
this.r1c2 = (float) matrix.r2c1; this.r1c2 = (float) matrix.r2c1;
@ -138,50 +148,57 @@ public struct SPMatrix2x3 {
this.r3c2 = (float) matrix.r2c3; this.r3c2 = (float) matrix.r2c3;
} }
public void SetRow1(float c1, float c2) { public void SetRow1(float c1, float c2)
{
this.r1c1 = c1; this.r1c1 = c1;
this.r1c2 = c2; this.r1c2 = c2;
} }
public void SetRow2(float c1, float c2) { public void SetRow2(float c1, float c2)
{
this.r2c1 = c1; this.r2c1 = c1;
this.r2c2 = c2; this.r2c2 = c2;
} }
public void SetRow3(float c1, float c2) { public void SetRow3(float c1, float c2)
{
this.r3c1 = c1; this.r3c1 = c1;
this.r3c2 = c2; this.r3c2 = c2;
} }
public void SetColumn1(float r1, float r2, float r3) { public void SetColumn1(float r1, float r2, float r3)
{
this.r1c1 = r1; this.r1c1 = r1;
this.r2c1 = r2; this.r2c1 = r2;
this.r3c1 = r3; this.r3c1 = r3;
} }
public void SetColumn2(float r1, float r2, float r3) { public void SetColumn2(float r1, float r2, float r3)
{
this.r1c2 = r1; this.r1c2 = r1;
this.r2c2 = r2; this.r2c2 = r2;
this.r3c2 = r3; this.r3c2 = r3;
} }
public static void Add(SPMatrix2x3 matrix1, SPMatrix2x3 matrix2, SPMatrix2x3 result) { public static void Add(in SPMatrix2x3 matrix1, in SPMatrix2x3 matrix2, out SPMatrix2x3 sum)
result.r1c1 = matrix1.r1c1 + matrix2.r1c1; {
result.r1c2 = matrix1.r1c2 + matrix2.r1c2; sum.r1c1 = matrix1.r1c1 + matrix2.r1c1;
sum.r1c2 = matrix1.r1c2 + matrix2.r1c2;
result.r2c1 = matrix1.r2c1 + matrix2.r2c1; sum.r2c1 = matrix1.r2c1 + matrix2.r2c1;
result.r2c2 = matrix1.r2c2 + matrix2.r2c2; sum.r2c2 = matrix1.r2c2 + matrix2.r2c2;
result.r3c1 = matrix1.r3c1 + matrix2.r3c1; sum.r3c1 = matrix1.r3c1 + matrix2.r3c1;
result.r3c2 = matrix1.r3c2 + matrix2.r3c2; sum.r3c2 = matrix1.r3c2 + matrix2.r3c2;
} }
public static void Add3( public static void Add3(
SPMatrix2x3 matrix1, in SPMatrix2x3 matrix1,
SPMatrix2x3 matrix2, in SPMatrix2x3 matrix2,
SPMatrix2x3 matrix3, in SPMatrix2x3 matrix3,
SPMatrix2x3 sum out SPMatrix2x3 sum
) { )
{
sum.r1c1 = matrix1.r1c1 + matrix2.r1c1 + matrix3.r1c1; sum.r1c1 = matrix1.r1c1 + matrix2.r1c1 + matrix3.r1c1;
sum.r1c2 = matrix1.r1c2 + matrix2.r1c2 + matrix3.r1c2; sum.r1c2 = matrix1.r1c2 + matrix2.r1c2 + matrix3.r1c2;
@ -193,12 +210,13 @@ public struct SPMatrix2x3 {
} }
public static void Add4( public static void Add4(
SPMatrix2x3 matrix1, in SPMatrix2x3 matrix1,
SPMatrix2x3 matrix2, in SPMatrix2x3 matrix2,
SPMatrix2x3 matrix3, in SPMatrix2x3 matrix3,
SPMatrix2x3 matrix4, in SPMatrix2x3 matrix4,
SPMatrix2x3 sum out SPMatrix2x3 sum
) { )
{
sum.r1c1 = (matrix1.r1c1 + matrix2.r1c1) + (matrix3.r1c1 + matrix4.r1c1); sum.r1c1 = (matrix1.r1c1 + matrix2.r1c1) + (matrix3.r1c1 + matrix4.r1c1);
sum.r1c2 = (matrix1.r1c2 + matrix2.r1c2) + (matrix3.r1c2 + matrix4.r1c2); sum.r1c2 = (matrix1.r1c2 + matrix2.r1c2) + (matrix3.r1c2 + matrix4.r1c2);
@ -210,13 +228,14 @@ public struct SPMatrix2x3 {
} }
public static void Add5( public static void Add5(
SPMatrix2x3 matrix1, in SPMatrix2x3 matrix1,
SPMatrix2x3 matrix2, in SPMatrix2x3 matrix2,
SPMatrix2x3 matrix3, in SPMatrix2x3 matrix3,
SPMatrix2x3 matrix4, in SPMatrix2x3 matrix4,
SPMatrix2x3 matrix5, in SPMatrix2x3 matrix5,
SPMatrix2x3 sum out SPMatrix2x3 sum
) { )
{
sum.r1c1 = (matrix1.r1c1 + matrix2.r1c1) + (matrix3.r1c1 + matrix4.r1c1) + matrix5.r1c1; sum.r1c1 = (matrix1.r1c1 + matrix2.r1c1) + (matrix3.r1c1 + matrix4.r1c1) + matrix5.r1c1;
sum.r1c2 = (matrix1.r1c2 + matrix2.r1c2) + (matrix3.r1c2 + matrix4.r1c2) + matrix5.r1c2; sum.r1c2 = (matrix1.r1c2 + matrix2.r1c2) + (matrix3.r1c2 + matrix4.r1c2) + matrix5.r1c2;
@ -227,7 +246,8 @@ public struct SPMatrix2x3 {
sum.r3c2 = (matrix1.r3c2 + matrix2.r3c2) + (matrix3.r3c2 + matrix4.r3c2) + matrix5.r3c2; sum.r3c2 = (matrix1.r3c2 + matrix2.r3c2) + (matrix3.r3c2 + matrix4.r3c2) + matrix5.r3c2;
} }
public static void Subtract(SPMatrix2x3 minuend, SPMatrix2x3 subtrahend, SPMatrix2x3 difference) { public static void Subtract(in SPMatrix2x3 minuend, in SPMatrix2x3 subtrahend, out SPMatrix2x3 difference)
{
difference.r1c1 = minuend.r1c1 - subtrahend.r1c1; difference.r1c1 = minuend.r1c1 - subtrahend.r1c1;
difference.r1c2 = minuend.r1c2 - subtrahend.r1c2; difference.r1c2 = minuend.r1c2 - subtrahend.r1c2;
@ -239,10 +259,11 @@ public struct SPMatrix2x3 {
} }
public static void GetWeightedSum2( public static void GetWeightedSum2(
float weight1, SPMatrix2x3 matrix1, float weight1, in SPMatrix2x3 matrix1,
float weight2, SPMatrix2x3 matrix2, float weight2, in SPMatrix2x3 matrix2,
SPMatrix2x3 sum out SPMatrix2x3 sum
) { )
{
sum.r1c1 = matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2; sum.r1c1 = matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2;
sum.r1c2 = matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2; sum.r1c2 = matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2;
@ -254,11 +275,12 @@ public struct SPMatrix2x3 {
} }
public static void GetWeightedSum3( public static void GetWeightedSum3(
float weight1, SPMatrix2x3 matrix1, float weight1, in SPMatrix2x3 matrix1,
float weight2, SPMatrix2x3 matrix2, float weight2, in SPMatrix2x3 matrix2,
float weight3, SPMatrix2x3 matrix3, float weight3, in SPMatrix2x3 matrix3,
SPMatrix2x3 sum out SPMatrix2x3 sum
) { )
{
sum.r1c1 = matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2 + matrix3.r1c1 * weight3; sum.r1c1 = matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2 + matrix3.r1c1 * weight3;
sum.r1c2 = matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2 + matrix3.r1c2 * weight3; sum.r1c2 = matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2 + matrix3.r1c2 * weight3;
@ -270,12 +292,13 @@ public struct SPMatrix2x3 {
} }
public static void GetWeightedSum4( public static void GetWeightedSum4(
float weight1, SPMatrix2x3 matrix1, float weight1, in SPMatrix2x3 matrix1,
float weight2, SPMatrix2x3 matrix2, float weight2, in SPMatrix2x3 matrix2,
float weight3, SPMatrix2x3 matrix3, float weight3, in SPMatrix2x3 matrix3,
float weight4, SPMatrix2x3 matrix4, float weight4, in SPMatrix2x3 matrix4,
SPMatrix2x3 sum out SPMatrix2x3 sum
) { )
{
sum.r1c1 = (matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2) + (matrix3.r1c1 * weight3 + matrix4.r1c1 * weight4); sum.r1c1 = (matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2) + (matrix3.r1c1 * weight3 + matrix4.r1c1 * weight4);
sum.r1c2 = (matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2) + (matrix3.r1c2 * weight3 + matrix4.r1c2 * weight4); sum.r1c2 = (matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2) + (matrix3.r1c2 * weight3 + matrix4.r1c2 * weight4);
@ -287,13 +310,14 @@ public struct SPMatrix2x3 {
} }
public static void GetWeightedSum5( public static void GetWeightedSum5(
float weight1, SPMatrix2x3 matrix1, float weight1, in SPMatrix2x3 matrix1,
float weight2, SPMatrix2x3 matrix2, float weight2, in SPMatrix2x3 matrix2,
float weight3, SPMatrix2x3 matrix3, float weight3, in SPMatrix2x3 matrix3,
float weight4, SPMatrix2x3 matrix4, float weight4, in SPMatrix2x3 matrix4,
float weight5, SPMatrix2x3 matrix5, float weight5, in SPMatrix2x3 matrix5,
SPMatrix2x3 sum out SPMatrix2x3 sum
) { )
{
sum.r1c1 = (matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2) + (matrix3.r1c1 * weight3 + matrix4.r1c1 * weight4) + matrix5.r1c1 * weight5; sum.r1c1 = (matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2) + (matrix3.r1c1 * weight3 + matrix4.r1c1 * weight4) + matrix5.r1c1 * weight5;
sum.r1c2 = (matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2) + (matrix3.r1c2 * weight3 + matrix4.r1c2 * weight4) + matrix5.r1c2 * weight5; sum.r1c2 = (matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2) + (matrix3.r1c2 * weight3 + matrix4.r1c2 * weight4) + matrix5.r1c2 * weight5;
@ -304,7 +328,8 @@ public struct SPMatrix2x3 {
sum.r3c2 = (matrix1.r3c2 * weight1 + matrix2.r3c2 * weight2) + (matrix3.r3c2 * weight3 + matrix4.r3c2 * weight4) + matrix5.r3c2 * weight5; sum.r3c2 = (matrix1.r3c2 * weight1 + matrix2.r3c2 * weight2) + (matrix3.r3c2 * weight3 + matrix4.r3c2 * weight4) + matrix5.r3c2 * weight5;
} }
public static void Multiply(SPMatrix2x3 multiplicand, float multiplier, SPMatrix2x3 product) { public static void Multiply(in SPMatrix2x3 multiplicand, float multiplier, out SPMatrix2x3 product)
{
product.r1c1 = multiplicand.r1c1 * multiplier; product.r1c1 = multiplicand.r1c1 * multiplier;
product.r1c2 = multiplicand.r1c2 * multiplier; product.r1c2 = multiplicand.r1c2 * multiplier;
@ -315,7 +340,8 @@ public struct SPMatrix2x3 {
product.r3c2 = multiplicand.r3c2 * multiplier; product.r3c2 = multiplicand.r3c2 * multiplier;
} }
public static void Divide(SPMatrix2x3 dividend, float divisor, SPMatrix2x3 quotient) { public static void Divide(in SPMatrix2x3 dividend, float divisor, out SPMatrix2x3 quotient)
{
quotient.r1c1 = dividend.r1c1 / divisor; quotient.r1c1 = dividend.r1c1 / divisor;
quotient.r1c2 = dividend.r1c2 / divisor; quotient.r1c2 = dividend.r1c2 / divisor;
@ -326,20 +352,17 @@ public struct SPMatrix2x3 {
quotient.r3c2 = dividend.r3c2 / divisor; quotient.r3c2 = dividend.r3c2 / divisor;
} }
public static void GetRightProduct(SPMatrix2x3 matrix, SPVector2 vector, SPVector3 result) { public static void GetRightProduct(in SPMatrix2x3 matrix, in SPVector2 vector, out SPVector3 result)
result.SetValues( {
matrix.r1c1 * vector.x1 + matrix.r1c2 * vector.x2, result.x1 = matrix.r1c1 * vector.x1 + matrix.r1c2 * vector.x2;
matrix.r2c1 * vector.x1 + matrix.r2c2 * vector.x2, result.x2 = matrix.r2c1 * vector.x1 + matrix.r2c2 * vector.x2;
matrix.r3c1 * vector.x1 + matrix.r3c2 * vector.x2 result.x3 = matrix.r3c1 * vector.x1 + matrix.r3c2 * vector.x2;
);
} }
public static void GetLeftProduct(SPVector3 vector, SPMatrix2x3 matrix, SPVector2 result) { public static void GetLeftProduct(in SPVector3 vector, in SPMatrix2x3 matrix, out SPVector2 result)
result.SetValues( {
vector.x1 * matrix.r1c1 + vector.x2 * matrix.r2c1 + vector.x3 * matrix.r3c1, result.x1 = vector.x1 * matrix.r1c1 + vector.x2 * matrix.r2c1 + vector.x3 * matrix.r3c1;
vector.x1 * matrix.r1c2 + vector.x2 * matrix.r2c2 + vector.x3 * matrix.r3c2 result.x2 = vector.x1 * matrix.r1c2 + vector.x2 * matrix.r2c2 + vector.x3 * matrix.r3c2;
); }
} }
} }
}

206
Geometry/SPMatrix3x2.cs
View file

@ -20,13 +20,13 @@
*/ */
namespace Geometry namespace Geometry
{ {
public class SPMatrix3x2 { public struct SPMatrix3x2
{
public float r1c1, r1c2, r1c3; public float r1c1, r1c2, r1c3;
public float r2c1, r2c2, r2c3; public float r2c1, r2c2, r2c3;
public SPMatrix3x2() { public SPMatrix3x2()
{
this.r1c1 = 0.0f; this.r1c1 = 0.0f;
this.r1c2 = 0.0f; this.r1c2 = 0.0f;
this.r1c3 = 0.0f; this.r1c3 = 0.0f;
@ -36,7 +36,8 @@ public class SPMatrix3x2 {
this.r2c3 = 0.0f; this.r2c3 = 0.0f;
} }
public SPMatrix3x2(SPMatrix3x2 matrix) { public SPMatrix3x2(in SPMatrix3x2 matrix)
{
this.r1c1 = matrix.r1c1; this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r1c2; this.r1c2 = matrix.r1c2;
this.r1c3 = matrix.r1c3; this.r1c3 = matrix.r1c3;
@ -46,7 +47,8 @@ public class SPMatrix3x2 {
this.r2c3 = matrix.r2c3; this.r2c3 = matrix.r2c3;
} }
public SPMatrix3x2(DPMatrix3x2 matrix) { public SPMatrix3x2(in DPMatrix3x2 matrix)
{
this.r1c1 = (float) matrix.r1c1; this.r1c1 = (float) matrix.r1c1;
this.r1c2 = (float) matrix.r1c2; this.r1c2 = (float) matrix.r1c2;
this.r1c3 = (float) matrix.r1c3; this.r1c3 = (float) matrix.r1c3;
@ -56,7 +58,30 @@ public class SPMatrix3x2 {
this.r2c3 = (float) matrix.r2c3; this.r2c3 = (float) matrix.r2c3;
} }
public void Reset() { public SPMatrix3x2(in SPMatrix2x3 matrix)
{
this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r2c1;
this.r1c3 = matrix.r3c1;
this.r2c1 = matrix.r1c2;
this.r2c2 = matrix.r2c2;
this.r2c3 = matrix.r3c2;
}
public SPMatrix3x2(in DPMatrix2x3 matrix)
{
this.r1c1 = (float) matrix.r1c1;
this.r1c2 = (float) matrix.r2c1;
this.r1c3 = (float) matrix.r3c1;
this.r2c1 = (float) matrix.r1c2;
this.r2c2 = (float) matrix.r2c2;
this.r2c3 = (float) matrix.r3c2;
}
public void Reset()
{
this.r1c1 = 0.0f; this.r1c1 = 0.0f;
this.r1c2 = 0.0f; this.r1c2 = 0.0f;
this.r1c3 = 0.0f; this.r1c3 = 0.0f;
@ -66,8 +91,8 @@ public class SPMatrix3x2 {
this.r2c3 = 0.0f; this.r2c3 = 0.0f;
} }
public void SetValues(in SPMatrix3x2 matrix)
public void SetValues(SPMatrix3x2 matrix) { {
this.r1c1 = matrix.r1c1; this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r1c2; this.r1c2 = matrix.r1c2;
this.r1c3 = matrix.r1c3; this.r1c3 = matrix.r1c3;
@ -77,8 +102,8 @@ public class SPMatrix3x2 {
this.r2c3 = matrix.r2c3; this.r2c3 = matrix.r2c3;
} }
/* public void SetValues(in DPMatrix3x2 matrix)
public void SetValues(DPMatrix3x2 matrix) { {
this.r1c1 = (float) matrix.r1c1; this.r1c1 = (float) matrix.r1c1;
this.r1c2 = (float) matrix.r1c2; this.r1c2 = (float) matrix.r1c2;
this.r1c3 = (float) matrix.r1c3; this.r1c3 = (float) matrix.r1c3;
@ -87,36 +112,63 @@ public class SPMatrix3x2 {
this.r2c2 = (float) matrix.r2c2; this.r2c2 = (float) matrix.r2c2;
this.r2c3 = (float) matrix.r2c3; this.r2c3 = (float) matrix.r2c3;
} }
*/
public void SetRow1(float c1, float c2, float c3) { public void SetTransposed(in SPMatrix2x3 matrix)
{
this.r1c1 = matrix.r1c1;
this.r1c2 = matrix.r2c1;
this.r1c3 = matrix.r3c1;
this.r2c1 = matrix.r1c2;
this.r2c2 = matrix.r2c2;
this.r2c3 = matrix.r3c2;
}
public void SetTransposed(in DPMatrix2x3 matrix)
{
this.r1c1 = (float) matrix.r1c1;
this.r1c2 = (float) matrix.r2c1;
this.r1c3 = (float) matrix.r3c1;
this.r2c1 = (float) matrix.r1c2;
this.r2c2 = (float) matrix.r2c2;
this.r2c3 = (float) matrix.r3c2;
}
public void SetRow1(float c1, float c2, float c3)
{
this.r1c1 = c1; this.r1c1 = c1;
this.r1c2 = c2; this.r1c2 = c2;
this.r1c3 = c3; this.r1c3 = c3;
} }
public void SetRow2(float c1, float c2, float c3) { public void SetRow2(float c1, float c2, float c3)
{
this.r2c1 = c1; this.r2c1 = c1;
this.r2c2 = c2; this.r2c2 = c2;
this.r2c3 = c3; this.r2c3 = c3;
} }
public void SetColumn1(float r1, float r2) { public void SetColumn1(float r1, float r2)
{
this.r1c1 = r1; this.r1c1 = r1;
this.r2c1 = r2; this.r2c1 = r2;
} }
public void SetColumn2(float r1, float r2) { public void SetColumn2(float r1, float r2)
{
this.r1c3 = r1; this.r1c3 = r1;
this.r2c3 = r2; this.r2c3 = r2;
} }
public void SetColumn3(float r1, float r2) { public void SetColumn3(float r1, float r2)
{
this.r1c3 = r1; this.r1c3 = r1;
this.r2c3 = r2; this.r2c3 = r2;
} }
public static void Add(SPMatrix3x2 matrix1, SPMatrix3x2 matrix2, SPMatrix3x2 sum) { public static void Add(in SPMatrix3x2 matrix1, in SPMatrix3x2 matrix2, out SPMatrix3x2 sum)
{
sum.r1c1 = matrix1.r1c1 + matrix2.r1c1; sum.r1c1 = matrix1.r1c1 + matrix2.r1c1;
sum.r1c2 = matrix1.r1c2 + matrix2.r1c2; sum.r1c2 = matrix1.r1c2 + matrix2.r1c2;
sum.r1c3 = matrix1.r1c3 + matrix2.r1c3; sum.r1c3 = matrix1.r1c3 + matrix2.r1c3;
@ -127,11 +179,12 @@ public class SPMatrix3x2 {
} }
public static void Add3( public static void Add3(
SPMatrix3x2 matrix1, in SPMatrix3x2 matrix1,
SPMatrix3x2 matrix2, in SPMatrix3x2 matrix2,
SPMatrix3x2 matrix3, in SPMatrix3x2 matrix3,
SPMatrix3x2 sum out SPMatrix3x2 sum
) { )
{
sum.r1c1 = matrix1.r1c1 + matrix2.r1c1 + matrix3.r1c1; sum.r1c1 = matrix1.r1c1 + matrix2.r1c1 + matrix3.r1c1;
sum.r1c2 = matrix1.r1c2 + matrix2.r1c2 + matrix3.r1c2; sum.r1c2 = matrix1.r1c2 + matrix2.r1c2 + matrix3.r1c2;
sum.r1c3 = matrix1.r1c3 + matrix2.r1c3 + matrix3.r1c3; sum.r1c3 = matrix1.r1c3 + matrix2.r1c3 + matrix3.r1c3;
@ -142,12 +195,13 @@ public class SPMatrix3x2 {
} }
public static void Add4( public static void Add4(
SPMatrix3x2 matrix1, in SPMatrix3x2 matrix1,
SPMatrix3x2 matrix2, in SPMatrix3x2 matrix2,
SPMatrix3x2 matrix3, in SPMatrix3x2 matrix3,
SPMatrix3x2 matrix4, in SPMatrix3x2 matrix4,
SPMatrix3x2 sum out SPMatrix3x2 sum
) { )
{
sum.r1c1 = (matrix1.r1c1 + matrix2.r1c1) + (matrix3.r1c1 + matrix4.r1c1); sum.r1c1 = (matrix1.r1c1 + matrix2.r1c1) + (matrix3.r1c1 + matrix4.r1c1);
sum.r1c2 = (matrix1.r1c2 + matrix2.r1c2) + (matrix3.r1c2 + matrix4.r1c2); sum.r1c2 = (matrix1.r1c2 + matrix2.r1c2) + (matrix3.r1c2 + matrix4.r1c2);
sum.r1c3 = (matrix1.r1c3 + matrix2.r1c3) + (matrix3.r1c3 + matrix4.r1c3); sum.r1c3 = (matrix1.r1c3 + matrix2.r1c3) + (matrix3.r1c3 + matrix4.r1c3);
@ -158,13 +212,14 @@ public class SPMatrix3x2 {
} }
public static void Add5( public static void Add5(
SPMatrix3x2 matrix1, in SPMatrix3x2 matrix1,
SPMatrix3x2 matrix2, in SPMatrix3x2 matrix2,
SPMatrix3x2 matrix3, in SPMatrix3x2 matrix3,
SPMatrix3x2 matrix4, in SPMatrix3x2 matrix4,
SPMatrix3x2 matrix5, in SPMatrix3x2 matrix5,
SPMatrix3x2 sum out SPMatrix3x2 sum
) { )
{
sum.r1c1 = (matrix1.r1c1 + matrix2.r1c1) + (matrix3.r1c1 + matrix4.r1c1) + matrix5.r1c1; sum.r1c1 = (matrix1.r1c1 + matrix2.r1c1) + (matrix3.r1c1 + matrix4.r1c1) + matrix5.r1c1;
sum.r1c2 = (matrix1.r1c2 + matrix2.r1c2) + (matrix3.r1c2 + matrix4.r1c2) + matrix5.r1c2; sum.r1c2 = (matrix1.r1c2 + matrix2.r1c2) + (matrix3.r1c2 + matrix4.r1c2) + matrix5.r1c2;
sum.r1c3 = (matrix1.r1c3 + matrix2.r1c3) + (matrix3.r1c3 + matrix4.r1c3) + matrix5.r1c3; sum.r1c3 = (matrix1.r1c3 + matrix2.r1c3) + (matrix3.r1c3 + matrix4.r1c3) + matrix5.r1c3;
@ -174,7 +229,8 @@ public class SPMatrix3x2 {
sum.r2c3 = (matrix1.r2c3 + matrix2.r2c3) + (matrix3.r2c3 + matrix4.r2c3) + matrix5.r2c3; sum.r2c3 = (matrix1.r2c3 + matrix2.r2c3) + (matrix3.r2c3 + matrix4.r2c3) + matrix5.r2c3;
} }
public static void Subtract(SPMatrix3x2 minuend, SPMatrix3x2 subtrahend, SPMatrix3x2 difference) { public static void Subtract(in SPMatrix3x2 minuend, in SPMatrix3x2 subtrahend, out SPMatrix3x2 difference)
{
difference.r1c1 = minuend.r1c1 - subtrahend.r1c1; difference.r1c1 = minuend.r1c1 - subtrahend.r1c1;
difference.r1c2 = minuend.r1c2 - subtrahend.r1c2; difference.r1c2 = minuend.r1c2 - subtrahend.r1c2;
difference.r1c3 = minuend.r1c3 - subtrahend.r1c3; difference.r1c3 = minuend.r1c3 - subtrahend.r1c3;
@ -185,10 +241,11 @@ public class SPMatrix3x2 {
} }
public static void GetWeightedSum2( public static void GetWeightedSum2(
float weight1, SPMatrix3x2 matrix1, float weight1, in SPMatrix3x2 matrix1,
float weight2, SPMatrix3x2 matrix2, float weight2, in SPMatrix3x2 matrix2,
SPMatrix3x2 sum out SPMatrix3x2 sum
) { )
{
sum.r1c1 = matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2; sum.r1c1 = matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2;
sum.r1c2 = matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2; sum.r1c2 = matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2;
sum.r1c3 = matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2; sum.r1c3 = matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2;
@ -199,11 +256,12 @@ public class SPMatrix3x2 {
} }
public static void GetWeightedSum3( public static void GetWeightedSum3(
float weight1, SPMatrix3x2 matrix1, float weight1, in SPMatrix3x2 matrix1,
float weight2, SPMatrix3x2 matrix2, float weight2, in SPMatrix3x2 matrix2,
float weight3, SPMatrix3x2 matrix3, float weight3, in SPMatrix3x2 matrix3,
SPMatrix3x2 sum out SPMatrix3x2 sum
) { )
{
sum.r1c1 = matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2 + matrix3.r1c1 * weight3; sum.r1c1 = matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2 + matrix3.r1c1 * weight3;
sum.r1c2 = matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2 + matrix3.r1c2 * weight3; sum.r1c2 = matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2 + matrix3.r1c2 * weight3;
sum.r1c3 = matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2 + matrix3.r1c3 * weight3; sum.r1c3 = matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2 + matrix3.r1c3 * weight3;
@ -214,12 +272,13 @@ public class SPMatrix3x2 {
} }
public static void GetWeightedSum4( public static void GetWeightedSum4(
float weight1, SPMatrix3x2 matrix1, float weight1, in SPMatrix3x2 matrix1,
float weight2, SPMatrix3x2 matrix2, float weight2, in SPMatrix3x2 matrix2,
float weight3, SPMatrix3x2 matrix3, float weight3, in SPMatrix3x2 matrix3,
float weight4, SPMatrix3x2 matrix4, float weight4, in SPMatrix3x2 matrix4,
SPMatrix3x2 sum out SPMatrix3x2 sum
) { )
{
sum.r1c1 = (matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2) + (matrix3.r1c1 * weight3 + matrix4.r1c1 * weight4); sum.r1c1 = (matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2) + (matrix3.r1c1 * weight3 + matrix4.r1c1 * weight4);
sum.r1c2 = (matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2) + (matrix3.r1c2 * weight3 + matrix4.r1c2 * weight4); sum.r1c2 = (matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2) + (matrix3.r1c2 * weight3 + matrix4.r1c2 * weight4);
sum.r1c3 = (matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2) + (matrix3.r1c3 * weight3 + matrix4.r1c3 * weight4); sum.r1c3 = (matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2) + (matrix3.r1c3 * weight3 + matrix4.r1c3 * weight4);
@ -230,13 +289,14 @@ public class SPMatrix3x2 {
} }
public static void GetWeightedSum5( public static void GetWeightedSum5(
float weight1, SPMatrix3x2 matrix1, float weight1, in SPMatrix3x2 matrix1,
float weight2, SPMatrix3x2 matrix2, float weight2, in SPMatrix3x2 matrix2,
float weight3, SPMatrix3x2 matrix3, float weight3, in SPMatrix3x2 matrix3,
float weight4, SPMatrix3x2 matrix4, float weight4, in SPMatrix3x2 matrix4,
float weight5, SPMatrix3x2 matrix5, float weight5, in SPMatrix3x2 matrix5,
SPMatrix3x2 sum out SPMatrix3x2 sum
) { )
{
sum.r1c1 = (matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2) + (matrix3.r1c1 * weight3 + matrix4.r1c1 * weight4) + matrix5.r1c1 * weight5; sum.r1c1 = (matrix1.r1c1 * weight1 + matrix2.r1c1 * weight2) + (matrix3.r1c1 * weight3 + matrix4.r1c1 * weight4) + matrix5.r1c1 * weight5;
sum.r1c2 = (matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2) + (matrix3.r1c2 * weight3 + matrix4.r1c2 * weight4) + matrix5.r1c2 * weight5; sum.r1c2 = (matrix1.r1c2 * weight1 + matrix2.r1c2 * weight2) + (matrix3.r1c2 * weight3 + matrix4.r1c2 * weight4) + matrix5.r1c2 * weight5;
sum.r1c3 = (matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2) + (matrix3.r1c3 * weight3 + matrix4.r1c3 * weight4) + matrix5.r1c3 * weight5; sum.r1c3 = (matrix1.r1c3 * weight1 + matrix2.r1c3 * weight2) + (matrix3.r1c3 * weight3 + matrix4.r1c3 * weight4) + matrix5.r1c3 * weight5;
@ -246,7 +306,8 @@ public class SPMatrix3x2 {
sum.r2c3 = (matrix1.r2c3 * weight1 + matrix2.r2c3 * weight2) + (matrix3.r2c3 * weight3 + matrix4.r2c3 * weight4) + matrix5.r2c3 * weight5; sum.r2c3 = (matrix1.r2c3 * weight1 + matrix2.r2c3 * weight2) + (matrix3.r2c3 * weight3 + matrix4.r2c3 * weight4) + matrix5.r2c3 * weight5;
} }
public static void Multiply(SPMatrix3x2 multiplicand, float multiplier, SPMatrix3x2 product) { public static void Multiply(in SPMatrix3x2 multiplicand, float multiplier, out SPMatrix3x2 product)
{
product.r1c1 = multiplicand.r1c1 * multiplier; product.r1c1 = multiplicand.r1c1 * multiplier;
product.r1c2 = multiplicand.r1c2 * multiplier; product.r1c2 = multiplicand.r1c2 * multiplier;
product.r1c3 = multiplicand.r1c3 * multiplier; product.r1c3 = multiplicand.r1c3 * multiplier;
@ -256,7 +317,8 @@ public class SPMatrix3x2 {
product.r2c3 = multiplicand.r2c3 * multiplier; product.r2c3 = multiplicand.r2c3 * multiplier;
} }
public static void Divide(SPMatrix3x2 dividend, float divisor, SPMatrix3x2 quotient) { public static void Divide(in SPMatrix3x2 dividend, float divisor, out SPMatrix3x2 quotient)
{
quotient.r1c1 = dividend.r1c1 / divisor; quotient.r1c1 = dividend.r1c1 / divisor;
quotient.r1c2 = dividend.r1c2 / divisor; quotient.r1c2 = dividend.r1c2 / divisor;
quotient.r1c3 = dividend.r1c3 / divisor; quotient.r1c3 = dividend.r1c3 / divisor;
@ -266,19 +328,17 @@ public class SPMatrix3x2 {
quotient.r2c3 = dividend.r2c3 / divisor; quotient.r2c3 = dividend.r2c3 / divisor;
} }
public static void GetRightProduct(SPMatrix3x2 matrix, SPVector3 vector, SPVector2 result) { public static void GetRightProduct(in SPMatrix3x2 matrix, in SPVector3 vector, out SPVector2 result)
result.SetValues( {
matrix.r1c1 * vector.x1 + matrix.r1c2 * vector.x2 + matrix.r1c3 * vector.x3, result.x1 = matrix.r1c1 * vector.x1 + matrix.r1c2 * vector.x2 + matrix.r1c3 * vector.x3;
matrix.r2c1 * vector.x1 + matrix.r2c2 * vector.x2 + matrix.r2c3 * vector.x3 result.x2 = matrix.r2c1 * vector.x1 + matrix.r2c2 * vector.x2 + matrix.r2c3 * vector.x3;
);
} }
public static void GetLeftProduct(SPVector2 vector, SPMatrix3x2 matrix, SPVector3 result) { public static void GetLeftProduct(in SPVector2 vector, in SPMatrix3x2 matrix, out SPVector3 result)
result.SetValues( {
vector.x1 * matrix.r1c1 + vector.x2 * matrix.r2c1, result.x1 = vector.x1 * matrix.r1c1 + vector.x2 * matrix.r2c1;
vector.x1 * matrix.r1c2 + vector.x2 * matrix.r2c2, result.x2 = vector.x1 * matrix.r1c2 + vector.x2 * matrix.r2c2;
vector.x1 * matrix.r1c3 + vector.x2 * matrix.r2c3 result.x3 = vector.x1 * matrix.r1c3 + vector.x2 * matrix.r2c3;
); }
} }
} }
}

44
Geometry/SPMatrixProduct.cs
View file

@ -81,29 +81,17 @@ namespace Geometry
public static void Get2x3At3x2(in SPMatrix2x3 left, in SPMatrix3x2 right, out SPMatrix3x3 product) public static void Get2x3At3x2(in SPMatrix2x3 left, in SPMatrix3x2 right, out SPMatrix3x3 product)
{ {
float r1c1 = left.r1c1 * right.r1c1 + left.r1c2 * right.r2c1; product.r1c1 = left.r1c1 * right.r1c1 + left.r1c2 * right.r2c1;
float r1c2 = left.r1c1 * right.r1c2 + left.r1c2 * right.r2c2; product.r1c2 = left.r1c1 * right.r1c2 + left.r1c2 * right.r2c2;
float r1c3 = left.r1c1 * right.r1c3 + left.r1c2 * right.r2c3; product.r1c3 = left.r1c1 * right.r1c3 + left.r1c2 * right.r2c3;
float r2c1 = left.r2c1 * right.r1c1 + left.r2c2 * right.r2c1; product.r2c1 = left.r2c1 * right.r1c1 + left.r2c2 * right.r2c1;
float r2c2 = left.r2c1 * right.r1c2 + left.r2c2 * right.r2c2; product.r2c2 = left.r2c1 * right.r1c2 + left.r2c2 * right.r2c2;
float r2c3 = left.r2c1 * right.r1c3 + left.r2c2 * right.r2c3; product.r2c3 = left.r2c1 * right.r1c3 + left.r2c2 * right.r2c3;
float r3c1 = left.r3c1 * right.r1c1 + left.r3c2 * right.r2c1; product.r3c1 = left.r3c1 * right.r1c1 + left.r3c2 * right.r2c1;
float r3c2 = left.r3c1 * right.r1c2 + left.r3c2 * right.r2c2; product.r3c2 = left.r3c1 * right.r1c2 + left.r3c2 * right.r2c2;
float r3c3 = left.r3c1 * right.r1c2 + left.r3c2 * right.r2c3; product.r3c3 = left.r3c1 * right.r1c2 + left.r3c2 * right.r2c3;
product.r1c1 = r1c1;
product.r1c2 = r1c2;
product.r1c3 = r1c3;
product.r2c1 = r2c1;
product.r2c2 = r2c2;
product.r2c3 = r2c3;
product.r3c1 = r3c1;
product.r3c2 = r3c2;
product.r3c3 = r3c3;
} }
public static void Get3x2At3x3(in SPMatrix3x2 left, in SPMatrix3x3 right, out SPMatrix3x2 product) public static void Get3x2At3x3(in SPMatrix3x2 left, in SPMatrix3x3 right, out SPMatrix3x2 product)
@ -127,17 +115,11 @@ namespace Geometry
public static void Get3x2At2x3(in SPMatrix3x2 left, in SPMatrix2x3 right, out SPMatrix2x2 product) public static void Get3x2At2x3(in SPMatrix3x2 left, in SPMatrix2x3 right, out SPMatrix2x2 product)
{ {
float r1c1 = left.r1c1 * right.r1c1 + left.r1c2 * right.r2c1 + left.r1c3 * right.r3c1; product.r1c1 = left.r1c1 * right.r1c1 + left.r1c2 * right.r2c1 + left.r1c3 * right.r3c1;
float r1c2 = left.r1c1 * right.r1c2 + left.r1c2 * right.r2c2 + left.r1c3 * right.r3c2; product.r1c2 = left.r1c1 * right.r1c2 + left.r1c2 * right.r2c2 + left.r1c3 * right.r3c2;
float r2c1 = left.r2c1 * right.r1c1 + left.r2c2 * right.r2c1 + left.r2c3 * right.r3c1; product.r2c1 = left.r2c1 * right.r1c1 + left.r2c2 * right.r2c1 + left.r2c3 * right.r3c1;
float r2c2 = left.r2c1 * right.r1c2 + left.r2c2 * right.r2c2 + left.r2c3 * right.r3c2; product.r2c2 = left.r2c1 * right.r1c2 + left.r2c2 * right.r2c2 + left.r2c3 * right.r3c2;
product.r1c1 = r1c1;
product.r1c2 = r1c2;
product.r2c1 = r2c1;
product.r2c2 = r2c2;
} }
public static void Get3x3At2x3(in SPMatrix3x3 left, in SPMatrix2x3 right, out SPMatrix2x3 product) public static void Get3x3At2x3(in SPMatrix3x3 left, in SPMatrix2x3 right, out SPMatrix2x3 product)