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+/* Copyright 2015-2017 Egor Yusov
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ * http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT OF ANY PROPRIETARY RIGHTS.
+ *
+ * In no event and under no legal theory, whether in tort (including negligence),
+ * contract, or otherwise, unless required by applicable law (such as deliberate
+ * and grossly negligent acts) or agreed to in writing, shall any Contributor be
+ * liable for any damages, including any direct, indirect, special, incidental,
+ * or consequential damages of any character arising as a result of this License or
+ * out of the use or inability to use the software (including but not limited to damages
+ * for loss of goodwill, work stoppage, computer failure or malfunction, or any and
+ * all other commercial damages or losses), even if such Contributor has been advised
+ * of the possibility of such damages.
+ */
+
+// EngineSandbox.cpp : Defines the entry point for the application.
+//
+
+#include "pch.h"
+#include "BasicMath.h"
+#include "DebugUtilities.h"
+
+using namespace Diligent;
+
+class MathLibTest
+{
+public:
+ MathLibTest()
+ {
+ // Ctor
+ {
+ float2 f2( 1, 2 );
+ VERIFY_EXPR( f2.x == 1 && f2.y == 2 );
+ VERIFY_EXPR( f2.x == f2[0] && f2.y == f2[1] );
+ }
+
+ {
+ float3 f3( 1, 2, 3 );
+ VERIFY_EXPR( f3.x == 1 && f3.y == 2 && f3.z == 3 );
+ VERIFY_EXPR( f3.x == f3[0] && f3.y == f3[1] && f3.z == f3[2] );
+ }
+
+ {
+ float4 f4( 1, 2, 3, 4 );
+ VERIFY_EXPR( f4.x == 1 && f4.y == 2 && f4.z == 3 && f4.w == 4 );
+ VERIFY_EXPR( f4.x == f4[0] && f4.y == f4[1] && f4.z == f4[2] && f4.w == f4[3] );
+ }
+
+
+ // a - b
+ {
+ auto v = float2( 5, 3 ) - float2( 1, 2 );
+ VERIFY_EXPR( v.x == 4 && v.y == 1 );
+ }
+
+ {
+ auto v = float3( 5, 3, 20 ) - float3( 1, 2, 10 );
+ VERIFY_EXPR( v.x == 4 && v.y == 1 && v.z == 10);
+ }
+
+ {
+ auto v = float4( 5, 3, 20, 200 ) - float4( 1, 2, 10, 100 );
+ VERIFY_EXPR( v.x == 4 && v.y == 1 && v.z == 10 && v.w == 100);
+ }
+
+ // a -= b
+ {
+ auto v = float2( 5, 3 );
+ v -= float2( 1, 2 );
+ VERIFY_EXPR( v.x == 4 && v.y == 1 );
+ }
+
+ {
+ auto v = float3( 5, 3, 20 );
+ v -= float3( 1, 2, 10 );
+ VERIFY_EXPR( v.x == 4 && v.y == 1 && v.z == 10);
+ }
+
+ {
+ auto v = float4( 5, 3, 20, 200 );
+ v -= float4( 1, 2, 10, 100 );
+ VERIFY_EXPR( v.x == 4 && v.y == 1 && v.z == 10 && v.w == 100);
+ }
+
+ // -a
+ {
+ auto v = -float2( 1, 2 );
+ VERIFY_EXPR( v.x == -1 && v.y == -2 );
+ }
+
+ {
+ auto v = -float3( 1, 2, 3 );
+ VERIFY_EXPR( v.x == -1 && v.y == -2 && v.z == -3 );
+ }
+
+ {
+ auto v = -float4( 1, 2, 3, 4 );
+ VERIFY_EXPR( v.x == -1 && v.y == -2 && v.z == -3 && v.w == -4 );
+ }
+
+
+ // a + b
+ {
+ auto v = float2( 5, 3 ) + float2( 1, 2 );
+ VERIFY_EXPR( v.x == 6 && v.y == 5 );
+ }
+
+ {
+ auto v = float3( 5, 3, 20 ) + float3( 1, 2, 10 );
+ VERIFY_EXPR( v.x == 6 && v.y == 5 && v.z == 30);
+ }
+
+ {
+ auto v = float4( 5, 3, 20, 200 ) + float4( 1, 2, 10, 100 );
+ VERIFY_EXPR( v.x == 6 && v.y == 5 && v.z == 30 && v.w == 300);
+ }
+
+ // a += b
+ {
+ auto v = float2( 5, 3 );
+ v += float2( 1, 2 );
+ VERIFY_EXPR( v.x == 6 && v.y == 5 );
+ }
+
+ {
+ auto v = float3( 5, 3, 20 );
+ v+=float3( 1, 2, 10 );
+ VERIFY_EXPR( v.x == 6 && v.y == 5 && v.z == 30);
+ }
+
+ {
+ auto v = float4( 5, 3, 20, 200 );
+ v+=float4( 1, 2, 10, 100 );
+ VERIFY_EXPR( v.x == 6 && v.y == 5 && v.z == 30 && v.w == 300);
+ }
+
+ // a * b
+ {
+ auto v = float2( 5, 3 ) * float2( 1, 2 );
+ VERIFY_EXPR( v.x == 5 && v.y == 6 );
+ }
+
+ {
+ auto v = float3( 5, 3, 20 ) * float3( 1, 2, 3 );
+ VERIFY_EXPR( v.x == 5 && v.y == 6 && v.z == 60);
+ }
+
+ {
+ auto v = float4( 5, 3, 20, 200 ) * float4( 1, 2, 3, 4 );
+ VERIFY_EXPR( v.x == 5 && v.y == 6 && v.z == 60 && v.w == 800);
+ }
+
+ // a *= b
+ {
+ auto v = float2( 5, 3 );
+ v*=float2( 1, 2 );
+ VERIFY_EXPR( v.x == 5 && v.y == 6 );
+ }
+
+ {
+ auto v = float3( 5, 3, 20 );
+ v*=float3( 1, 2, 3 );
+ VERIFY_EXPR( v.x == 5 && v.y == 6 && v.z == 60);
+ }
+
+ {
+ auto v = float4( 5, 3, 20, 200 );
+ v*=float4( 1, 2, 3, 4 );
+ VERIFY_EXPR( v.x == 5 && v.y == 6 && v.z == 60 && v.w == 800);
+ }
+
+ // a * s
+ {
+ auto v = float2( 5, 3 )*2;
+ VERIFY_EXPR( v.x == 10 && v.y == 6 );
+ }
+
+ {
+ auto v = float3( 5, 3, 20 )*2;
+ VERIFY_EXPR( v.x == 10 && v.y == 6 && v.z == 40);
+ }
+
+ {
+ auto v = float4( 5, 3, 20, 200 ) * 2;
+ VERIFY_EXPR( v.x == 10 && v.y == 6 && v.z == 40 && v.w == 400);
+ }
+
+ // a *= s
+ {
+ auto v = float2( 5, 3 );
+ v*=2;
+ VERIFY_EXPR( v.x == 10 && v.y == 6 );
+ }
+
+ {
+ auto v = float3( 5, 3, 20 );
+ v*=2;
+ VERIFY_EXPR( v.x == 10 && v.y == 6 && v.z == 40);
+ }
+
+ {
+ auto v = float4( 5, 3, 20, 200 );
+ v*=2;
+ VERIFY_EXPR( v.x == 10 && v.y == 6 && v.z == 40 && v.w == 400);
+ }
+
+ // s * a
+ {
+ auto v = 2.f * float2( 5, 3 );
+ VERIFY_EXPR( v.x == 10 && v.y == 6 );
+ }
+
+ {
+ auto v = 2.f * float3( 5, 3, 20 );
+ VERIFY_EXPR( v.x == 10 && v.y == 6 && v.z == 40);
+ }
+
+ {
+ auto v = 2.f * float4( 5, 3, 20, 200 );
+ VERIFY_EXPR( v.x == 10 && v.y == 6 && v.z == 40 && v.w == 400);
+ }
+
+ // a / s
+ {
+ auto v = float2( 10, 6 )/2;
+ VERIFY_EXPR( v.x == 5 && v.y == 3 );
+ }
+
+ {
+ auto v = float3( 10, 6, 40 )/2;
+ VERIFY_EXPR( v.x == 5 && v.y == 3 && v.z == 20);
+ }
+
+ {
+ auto v = float4( 10, 6, 40, 400 ) / 2;
+ VERIFY_EXPR( v.x == 5 && v.y == 3 && v.z == 20 && v.w == 200);
+ }
+
+
+ // a / b
+ {
+ auto v = float2( 6, 4 ) / float2( 1, 2 );
+ VERIFY_EXPR( v.x == 6 && v.y == 2 );
+ }
+
+ {
+ auto v = float3( 6, 3, 20 ) / float3( 3, 1, 5 );
+ VERIFY_EXPR( v.x == 2 && v.y == 3 && v.z == 4);
+ }
+
+ {
+ auto v = float4( 6, 3, 20, 200 ) / float4( 3, 1, 5, 40 );
+ VERIFY_EXPR( v.x == 2 && v.y == 3 && v.z == 4 && v.w == 5);
+ }
+
+ // a /= b
+ {
+ auto v = float2( 6, 4 );
+ v/=float2( 1, 2 );
+ VERIFY_EXPR( v.x == 6 && v.y == 2 );
+ }
+
+ {
+ auto v = float3( 6, 3, 20 );
+ v/=float3( 3, 1, 5 );
+ VERIFY_EXPR( v.x == 2 && v.y == 3 && v.z == 4);
+ }
+
+ {
+ auto v = float4( 6, 3, 20, 200 );
+ v/=float4( 3, 1, 5, 40 );
+ VERIFY_EXPR( v.x == 2 && v.y == 3 && v.z == 4 && v.w == 5);
+ }
+
+ // a /= s
+ {
+ auto v = float2( 6, 4 );
+ v/=2;
+ VERIFY_EXPR( v.x == 3 && v.y == 2 );
+ }
+
+ {
+ auto v = float3( 4, 6, 20 );
+ v/=2;
+ VERIFY_EXPR( v.x == 2 && v.y == 3 && v.z == 10);
+ }
+
+ {
+ auto v = float4( 4, 6, 20, 200 );
+ v/=2;
+ VERIFY_EXPR( v.x == 2 && v.y == 3 && v.z == 10 && v.w == 100);
+ }
+
+ // max
+ {
+ auto v = std::max( float2( 6, 4 ), float2( 1, 40 ) );
+ VERIFY_EXPR( v.x == 6 && v.y == 40 );
+ }
+
+ {
+ auto v = std::max( float3( 4, 6, 20 ), float3( 40, 3, 23 ) );
+ VERIFY_EXPR( v.x == 40 && v.y == 6 && v.z == 23);
+ }
+
+ {
+ auto v = std::max( float4( 4, 6, 20, 100 ), float4( 40, 3, 23, 50 ) );
+ VERIFY_EXPR( v.x == 40 && v.y == 6 && v.z == 23 && v.w == 100);
+ }
+
+ // min
+ {
+ auto v = std::min( float2( 6, 4 ), float2( 1, 40 ) );
+ VERIFY_EXPR( v.x == 1 && v.y == 4 );
+ }
+
+ {
+ auto v = std::min( float3( 4, 6, 20 ), float3( 40, 3, 23 ) );
+ VERIFY_EXPR( v.x == 4 && v.y == 3 && v.z == 20);
+ }
+
+ {
+ auto v = std::min( float4( 4, 6, 20, 100 ), float4( 40, 3, 23, 50 ) );
+ VERIFY_EXPR( v.x == 4 && v.y == 3 && v.z == 20 && v.w == 50);
+ }
+
+
+ // a == b
+ {
+ VERIFY_EXPR( float2(1,2) == float2(1,2) );
+ VERIFY_EXPR( float3(1,2,3) == float3(1,2,3) );
+ VERIFY_EXPR( float4(1,2,3,4) == float4(1,2,3,4) );
+ }
+
+ // a != b
+ {
+ VERIFY_EXPR( float2(1,2) != float2(1,9) && float2(9,2) != float2(1,2) );
+ VERIFY_EXPR( float3(1,2,3) != float3(9,2,3) && float3(1,2,3) != float3(1,9,3) && float3(1,2,3) != float3(1,2,9) );
+ VERIFY_EXPR( float4(1,2,3,4) != float4(9,2,3,4) && float4(1,2,3,4) != float4(1,9,3,4) && float4(1,2,3,4) != float4(1,2,9,4) && float4(1,2,3,4) != float4(1,2,3,9) );
+ }
+
+ // a < b
+ {
+ VERIFY_EXPR( float2(1,5) < float2(3,5) == float2(1,0) );
+ VERIFY_EXPR( float2(3,1) < float2(3,4) == float2(0,1) );
+ VERIFY_EXPR( float3(1,5,10) < float3(3,5,20) == float3(1,0,1) );
+ VERIFY_EXPR( float3(3,1,2) < float3(3,4,2) == float3(0,1,0) );
+ VERIFY_EXPR( float4(1,4,10,50) < float4(3,4,20, 50) == float4(1,0,1,0) );
+ VERIFY_EXPR( float4(3,1,2,30) < float4(3,4,2, 70) == float4(0,1,0,1) );
+ }
+
+ // a <= b
+ {
+ VERIFY_EXPR( float2(1,5) <= float2(1,4) == float2(1,0) );
+ VERIFY_EXPR( float2(5,2) <= float2(3,2) == float2(0,1) );
+ VERIFY_EXPR( float3(3,5,10) <= float3(3,4,10) == float3(1,0,1) );
+ VERIFY_EXPR( float3(5,4,2) <= float3(3,4,0) == float3(0,1,0) );
+ VERIFY_EXPR( float4(3,5,20,100) <= float4(3,4,20, 50) == float4(1,0,1,0) );
+ VERIFY_EXPR( float4(5,4,2,70) <= float4(3,4,0, 70) == float4(0,1,0,1) );
+ }
+
+ // a >= b
+ {
+ VERIFY_EXPR( float2(1,5) >= float2(3,5) == float2(0,1) );
+ VERIFY_EXPR( float2(3,1) >= float2(3,4) == float2(1,0) );
+ VERIFY_EXPR( float3(1,5,10) >= float3(3,5,20) == float3(0,1,0) );
+ VERIFY_EXPR( float3(3,1,2) >= float3(3,4,2) == float3(1,0,1) );
+ VERIFY_EXPR( float4(1,4,10,50) >= float4(3,4,20, 50) == float4(0,1,0,1) );
+ VERIFY_EXPR( float4(3,1,2,30) >= float4(3,4,2, 70) == float4(1,0,1,0) );
+ }
+
+ // a > b
+ {
+ VERIFY_EXPR( float2(1,5) > float2(1,4) == float2(0,1) );
+ VERIFY_EXPR( float2(5,2) > float2(3,2) == float2(1,0) );
+ VERIFY_EXPR( float3(3,5,10) > float3(3,4,10) == float3(0,1,0) );
+ VERIFY_EXPR( float3(5,4,2) > float3(3,4,0) == float3(1,0,1) );
+ VERIFY_EXPR( float4(3,5,20,100) > float4(3,4,20, 50) == float4(0,1,0,1) );
+ VERIFY_EXPR( float4(5,4,2,70) > float4(3,4,0, 70) == float4(1,0,1,0) );
+ }
+
+ // abs
+ {
+ VERIFY_EXPR( abs(float2(-1,-5)) == float2( 1, 5) );
+ VERIFY_EXPR( abs(float2( 1, 5)) == float2( 1, 5) );
+
+ VERIFY_EXPR( abs(float3(-1,-5, -10)) == float3( 1, 5, 10) );
+ VERIFY_EXPR( abs(float3( 1, 5, 10)) == float3( 1, 5, 10) );
+
+ VERIFY_EXPR( abs(float4(-1,-5, -10, -100)) == float4( 1, 5, 10, 100) );
+ VERIFY_EXPR( abs(float4( 1, 5, 10, 100)) == float4( 1, 5, 10, 100) );
+ }
+
+ // dot
+ {
+ VERIFY_EXPR( dot( float2( 1, 2 ), float2( 1, 2 ) ) == 5 );
+ VERIFY_EXPR( dot( float3( 1, 2, 3 ), float3( 1, 2, 3 ) ) == 14 );
+ VERIFY_EXPR( dot( float4( 1, 2, 3, 4 ), float4( 1, 2, 3, 4 ) ) == 30 );
+ }
+
+ // length
+ {
+ auto l = length( float2(3,4) );
+ VERIFY_EXPR( l >= 5.f - 1e-6f && l <= 5.f + 1e+6f );
+ }
+
+ // Matrix 3x3
+ {
+ float3x3 m1( 1, 2, 3,
+ 5, 6, 7,
+ 9, 10, 11),
+ m2( 1, 2, 3,
+ 5, 6, 7,
+ 9, 10, 11);
+ VERIFY_EXPR(m1._11 == 1 && m1._12 == 2 && m1._13 == 3 &&
+ m1._21 == 5 && m1._22 == 6 && m1._23 == 7 &&
+ m1._31 == 9 && m1._32 == 10 && m1._33 == 11 );
+ VERIFY_EXPR(m1[0][0] == 1 && m1[0][1] == 2 && m1[0][2] == 3 &&
+ m1[1][0] == 5 && m1[1][1] == 6 && m1[1][2] == 7 &&
+ m1[2][0] == 9 && m1[2][1] == 10 && m1[2][2] == 11 );
+
+ VERIFY_EXPR( m1 == m2 );
+ auto t = transposeMatrix( transposeMatrix( m1 ) );
+ VERIFY_EXPR( t == m1 );
+ }
+
+ // Matrix 4x4
+ {
+ float4x4 m1( 1, 2, 3, 4,
+ 5, 6, 7, 8,
+ 9, 10, 11, 12,
+ 13, 14, 15, 16),
+ m2( 1, 2, 3, 4,
+ 5, 6, 7, 8,
+ 9, 10, 11, 12,
+ 13, 14, 15, 16) ;
+ VERIFY_EXPR(m1._11 == 1 && m1._12 == 2 && m1._13 == 3 && m1._14 == 4 &&
+ m1._21 == 5 && m1._22 == 6 && m1._23 == 7 && m1._24 == 8 &&
+ m1._31 == 9 && m1._32 == 10 && m1._33 == 11 && m1._34 == 12 &&
+ m1._41 == 13 && m1._42 == 14 && m1._43 == 15 && m1._44 == 16 );
+ VERIFY_EXPR(m1[0][0] == 1 && m1[0][1] == 2 && m1[0][2] == 3 && m1[0][3] == 4 &&
+ m1[1][0] == 5 && m1[1][1] == 6 && m1[1][2] == 7 && m1[1][3] == 8 &&
+ m1[2][0] == 9 && m1[2][1] == 10 && m1[2][2] == 11 && m1[2][3] == 12 &&
+ m1[3][0] == 13 && m1[3][1] == 14 && m1[3][2] == 15 && m1[3][3] == 16 );
+
+ VERIFY_EXPR( m1 == m2 );
+ auto t = transposeMatrix( transposeMatrix( m1 ) );
+ VERIFY_EXPR( t == m1 );
+ }
+
+ // Inverse
+ {
+ float4x4 m( 7, 8, 3, 6,
+ 5, 1, 4, 9,
+ 5, 11, 7, 2,
+ 13, 4, 19, 8);
+ auto inv = inverseMatrix( m );
+ auto identity = m * inv;
+ for( int j = 0; j < 4; ++j)
+ for( int i = 0; i < 4; ++i )
+ {
+ float ref = i == j ? 1.f : 0.f;
+ auto val = identity[i][j];
+ VERIFY_EXPR( fabs( val - ref ) < 1e-6f );
+ }
+ }
+
+ // Determinant
+ {
+ float4x4 m1( 1, 2, 3, 4,
+ 5, 6, 7, 8,
+ 9, 10, 11, 12,
+ 13, 14, 15, 16);
+ auto det = determinant(m1);
+ VERIFY_EXPR( det == 0 );
+ }
+
+ {
+ std::hash<float2>()(float2(1.0, 2.0));
+ std::hash<float3>()(float3(1.0, 2.0, 3.0));
+ std::hash<float4>()(float4(1.0, 2.0, 3.0, 5.0));
+ float4x4 m1( 1, 2, 3, 4,
+ 5, 6, 7, 8,
+ 9, 10, 11, 12,
+ 13, 14, 15, 16);
+ std::hash<float4x4>()(m1);
+
+ float3x3 m2( 1, 2, 3,
+ 5, 6, 7,
+ 9, 10, 11);
+ std::hash<float3x3>()(m2);
+ }
+ }
+};
+
+static MathLibTest MathLibTest; \ No newline at end of file