300 lines
11 KiB
C#
300 lines
11 KiB
C#
using CultMath;
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using Xunit;
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namespace CultMath.Tests;
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public sealed class MathTests
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{
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[Fact]
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public void FracMatchesShaderStylePositiveAndNegativeValues()
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{
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Assert.Equal(0.25f, math.frac(1.25f));
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Assert.Equal(0.75f, math.frac(-1.25f));
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}
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[Fact]
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public void VectorOperationsAreComponentWise()
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{
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var value = new float3(1.0f, 2.0f, 3.0f) * new float3(4.0f, 5.0f, 6.0f);
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Assert.Equal(new float3(4.0f, 10.0f, 18.0f), value);
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}
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[Fact]
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public void VectorConstructorsAcceptLowerDimensionVectors()
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{
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Assert.Equal(new int2(1, 2), math.int2(1, 2));
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Assert.Equal(new float2(1.0f, 2.0f), math.float2(1.0f, 2.0f));
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Assert.Equal(new float3(1.0f, 1.0f, 1.0f), math.float3(1.0f));
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Assert.Equal(new float4(1.0f, 2.0f, 3.0f, 4.0f), math.float4(new float3(1.0f, 2.0f, 3.0f), 4.0f));
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Assert.Equal(new float3(1.0f, 2.0f, 3.0f), new float3(new float2(1.0f, 2.0f), 3.0f));
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Assert.Equal(new float4(1.0f, 2.0f, 3.0f, 4.0f), new float4(new float2(1.0f, 2.0f), 3.0f, 4.0f));
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Assert.Equal(new float4(1.0f, 2.0f, 3.0f, 4.0f), new float4(new float3(1.0f, 2.0f, 3.0f), 4.0f));
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}
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[Fact]
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public void RectNormalizesBoundsAndContainsPoints()
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{
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var viewport = math.rect(10.0f, 20.0f, -5.0f, -2.0f);
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Assert.Equal(new float2(-5.0f, -2.0f), viewport.min);
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Assert.Equal(new float2(10.0f, 20.0f), viewport.max);
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Assert.Equal(new float2(15.0f, 22.0f), viewport.size);
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Assert.Equal(new float2(2.5f, 9.0f), viewport.center);
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Assert.True(viewport.Contains(new float2(0.0f, 0.0f)));
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Assert.False(viewport.Contains(new float2(11.0f, 0.0f)));
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}
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[Fact]
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public void VectorsExposeCommonReadOnlySwizzles()
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{
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Assert.Equal(new float3(2.0f, 3.0f, 1.0f), new float3(1.0f, 2.0f, 3.0f).yzx);
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Assert.Equal(new float3(3.0f, 2.0f, 1.0f), new float3(1.0f, 2.0f, 3.0f).zyx);
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Assert.Equal(new float2(3.0f, 2.0f), new float3(1.0f, 2.0f, 3.0f).zy);
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Assert.Equal(new float3(1.0f, 2.0f, 4.0f), new float4(1.0f, 2.0f, 3.0f, 4.0f).xyw);
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Assert.Equal(new float3(2.0f, 3.0f, 1.0f), new float4(1.0f, 2.0f, 3.0f, 4.0f).yzx);
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Assert.Equal(new float4(1.0f, 2.0f, 3.0f, 4.0f), new float4(1.0f, new float3(2.0f, 3.0f, 4.0f)));
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Assert.Equal(new float4(1.0f, 2.0f, 3.0f, 4.0f), math.float4(1.0f, new float3(2.0f, 3.0f, 4.0f)));
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}
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[Fact]
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public void VectorsSupportUnityStyleFieldAndSwizzleMutation()
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{
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var position = new float3(1.0f, 2.0f, 3.0f);
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position.y = 5.0f;
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position.xz = new float2(8.0f, 13.0f);
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Assert.Equal(new float3(8.0f, 5.0f, 13.0f), position);
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var bounds = new float4(1.0f, 2.0f, 3.0f, 4.0f);
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bounds.xy = new float2(-1.0f, -2.0f);
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Assert.Equal(new float4(-1.0f, -2.0f, 3.0f, 4.0f), bounds);
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}
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[Fact]
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public void DoubleVectorsSupportDampedMath()
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{
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var value = new double3(1.0, 2.0, 3.0);
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value.xy = new double2(5.0, 8.0);
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Assert.Equal(new double3(5.0, 8.0, 3.0), value);
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Assert.Equal(new double2(Math.Exp(-2.0), Math.Exp(-4.0)), math.exp(new double2(-2.0, -4.0)));
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Assert.Equal(new double3(2.0, 4.0, 6.0), math.lerp(new double3(0.0, 0.0, 0.0), new double3(4.0, 8.0, 12.0), new double3(0.5, 0.5, 0.5)));
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}
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[Fact]
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public void Int2SupportsGridArithmeticAndFloatPromotion()
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{
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var cell = new int2(2, 3);
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Assert.Equal(new int2(3, 5), cell + new int2(1, 2));
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Assert.Equal(new int2(4, 6), cell * new int2(2, 2));
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Assert.Equal(3, cell[1]);
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float2 promoted = cell;
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Assert.Equal(new float2(2.0f, 3.0f), promoted);
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}
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[Fact]
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public void Bool2SupportsHullGridStyleStorage()
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{
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bool2 conductivity = true;
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conductivity.y = false;
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Assert.True(conductivity.x);
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Assert.False(conductivity[1]);
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Assert.Equal(new bool2(false, true), math.bool2(false, true));
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}
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[Fact]
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public void QuaternionLookRotationProducesUnitOrientation()
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{
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var rotation = quaternion.LookRotation(new float3(0.0f, 0.0f, 1.0f), new float3(0.0f, 1.0f, 0.0f));
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Assert.Equal(quaternion.identity, rotation);
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Assert.Equal(1.0f, math.length((float4)quaternion.LookRotation(new float3(1.0f, 0.0f, 0.0f), new float3(0.0f, 1.0f, 0.0f))), precision: 5);
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}
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[Fact]
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public void RandomIsDeterministicAndUnityShaped()
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{
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var a = new Random(1234);
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var b = new Random(1234);
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Assert.Equal(a.NextUInt(), b.NextUInt());
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Assert.Equal(a.NextFloat(), b.NextFloat());
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var bounded = a.NextFloat(-2.0f, 4.0f);
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Assert.True(bounded >= -2.0f && bounded < 4.0f);
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var direction = a.NextFloat2Direction();
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Assert.Equal(1.0f, math.length(direction), precision: 5);
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var point = a.NextFloat3(new float3(-1.0f, -2.0f, -3.0f), new float3(1.0f, 2.0f, 3.0f));
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Assert.True(point.x >= -1.0f && point.x < 1.0f);
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Assert.True(point.y >= -2.0f && point.y < 2.0f);
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Assert.True(point.z >= -3.0f && point.z < 3.0f);
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}
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[Fact]
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public void NormalizeProducesUnitLength()
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{
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var value = math.normalize(new float3(3.0f, 4.0f, 0.0f));
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Assert.Equal(1.0f, math.length(value), precision: 5);
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}
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[Fact]
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public void SmoothstepUsesHermiteRamp()
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{
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Assert.Equal(0.0f, math.smoothstep(0.0f, 1.0f, -1.0f));
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Assert.Equal(0.5f, math.smoothstep(0.0f, 1.0f, 0.5f), precision: 5);
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Assert.Equal(1.0f, math.smoothstep(0.0f, 1.0f, 2.0f));
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Assert.Equal(0.5f, math.smootherstep(0.5f), precision: 5);
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}
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[Fact]
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public void TrigIntrinsicsUseRadians()
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{
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Assert.Equal(1.0f, math.sin(math.HALF_PI), precision: 5);
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Assert.Equal(-1.0f, math.cos(math.PI), precision: 5);
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Assert.Equal(1.0f, math.tan(math.PI * 0.25f), precision: 5);
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Assert.Equal(math.HALF_PI, math.atan2(1.0f, 0.0f), precision: 5);
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Assert.Equal(2, math.min(2, 5));
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Assert.Equal(5, math.max(2, 5));
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Assert.True(math.isinf(float.PositiveInfinity));
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}
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[Fact]
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public void SignIsComponentWiseForSimulationVectors()
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{
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Assert.Equal(-1.0f, math.sign(-12.0f));
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Assert.Equal(0.0f, math.sign(0.0f));
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Assert.Equal(1.0f, math.sign(12.0f));
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Assert.Equal(new float3(-1.0f, 0.0f, 1.0f), math.sign(new float3(-2.0f, 0.0f, 4.0f)));
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}
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[Fact]
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public void RotateTurnsFloat2CounterClockwiseInRadians()
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{
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var rotated = math.rotate(new float2(1.0f, 0.0f), math.HALF_PI);
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Assert.Equal(0.0f, rotated.x, precision: 5);
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Assert.Equal(1.0f, rotated.y, precision: 5);
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var rotatedDegrees = math.rotate_degrees(new float2(0.0f, 1.0f), 90.0f);
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Assert.Equal(-1.0f, rotatedDegrees.x, precision: 5);
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Assert.Equal(0.0f, rotatedDegrees.y, precision: 5);
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}
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[Fact]
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public void AetheriaPrimitivesRemainSmallAndDeterministic()
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{
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Assert.Equal(6.0f, math.csum(new float3(1.0f, 2.0f, 3.0f)));
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Assert.Equal(0.25f, math.unlerp(10.0f, 30.0f, 15.0f));
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Assert.Equal(new float2(0.25f, 0.75f), math.unlerp(new float2(10.0f, 10.0f), new float2(30.0f, 30.0f), new float2(15.0f, 25.0f)));
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Assert.Equal(MathF.Exp(-2.0f), math.decay(1.0f, 2.0f, 1.0f), precision: 5);
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Assert.Equal(1.0f - MathF.Exp(-2.0f), math.damp(0.0f, 1.0f, 2.0f, 1.0f), precision: 5);
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Assert.Equal(15.0f, math.catmullrom(0.0f, 10.0f, 20.0f, 30.0f, 0.5f), precision: 5);
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Assert.Equal(0.25f, math.quadratic_bezier(0.0f, 0.0f, 1.0f, 0.5f), precision: 5);
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Assert.Equal(0.5f, math.cubic_bezier(0.0f, 0.0f, 1.0f, 1.0f, 0.5f), precision: 5);
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}
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[Fact]
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public void SegmentDistanceReportsClosestPoint()
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{
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var distance = math.distance_to_segment(new float2(2.0f, 3.0f), new float2(0.0f, 0.0f), new float2(4.0f, 0.0f), out var closest);
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Assert.Equal(3.0f, distance, precision: 5);
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Assert.Equal(new float2(2.0f, 0.0f), closest);
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}
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[Fact]
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public void FirstOrderInterceptSolvesSimpleClosingTarget()
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{
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var time = math.first_order_intercept_time(
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2.0f,
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new float3(10.0f, 0.0f, 0.0f),
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new float3(-1.0f, 0.0f, 0.0f));
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Assert.Equal(10.0f / 3.0f, time, precision: 5);
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}
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[Fact]
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public void ValueNoiseIsDeterministicAndSmoothAtCellCorners()
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{
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var position = new float2(12.25f, -4.5f);
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Assert.Equal(math.value_noise(position), math.value_noise(position));
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Assert.Equal(math.hash(new float2(3.0f, 5.0f)), math.value_noise(new float2(3.0f, 5.0f)), precision: 5);
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var bicubic = math.value_noise_bicubic(position);
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Assert.True(bicubic > -0.25f && bicubic < 1.25f);
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}
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[Theory]
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[InlineData(0.0f, 0.0f, 0.0f)]
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[InlineData(0.25f, -0.5f, -0.425866783f)]
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[InlineData(12.25f, -4.5f, 0.258312f)]
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[InlineData(536.5106f, 536.5106f, -0.6901103f)]
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public void SimplexNoiseMatchesUnityMathematics(float x, float y, float expected)
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{
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Assert.Equal(expected, math.simplex_noise(new float2(x, y)), precision: 6);
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}
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[Fact]
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public void VoronoiBatchProducesToneMappedColors()
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{
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var xs = new[] { 0.0f, 24.0f, 96.0f };
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var ys = new[] { 0.0f, 36.0f, 144.0f };
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var tones = new[] { CultMathTone.Background, CultMathTone.Header, CultMathTone.Body };
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var spans = new[] { 1920.0f, 8.0f, 8.0f };
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var colors = new Color32[xs.Length];
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Voronoi.SampleTones(xs, ys, tones, spans, 1080.0f, 12, colors);
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Assert.NotEqual(new Color32(), colors[0]);
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Assert.True(colors[1].r > colors[1].g);
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Assert.True(colors[2].r > 120 && colors[2].g > 120 && colors[2].b > 120);
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}
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[Fact]
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public void BatchRadialFalloffAccelerationMatchesScalarContract()
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{
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var xs = new[] { 0.0f, 5.0f, 10.0f };
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var ys = new[] { 0.0f, 0.0f, 0.0f };
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var ax = new float[xs.Length];
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var ay = new float[xs.Length];
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BatchMath.AddRadialFalloffAcceleration2D(xs, ys, 10.0f, 0.0f, 10.0f, 20.0f, ax, ay);
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Assert.True(BatchMath.LaneCount >= 4);
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Assert.Equal(5.0f, ax[0], precision: 5);
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Assert.Equal(7.5f, ax[1], precision: 5);
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Assert.Equal(0.0f, ax[2], precision: 5);
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Assert.Equal(0.0f, ay[0], precision: 5);
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}
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[Fact]
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public void BatchEulerIntegrationHonorsDynamicMask()
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{
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var dynamicMask = new[] { 1.0f, 0.0f };
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var px = new[] { 0.0f, 0.0f };
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var py = new[] { 0.0f, 0.0f };
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var vx = new[] { 1.0f, 1.0f };
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var vy = new[] { 0.0f, 0.0f };
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var ax = new[] { 2.0f, 2.0f };
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var ay = new[] { 0.0f, 4.0f };
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BatchMath.IntegrateSemiImplicitEuler2D(0.5f, dynamicMask, px, py, vx, vy, ax, ay);
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Assert.Equal(2.0f, vx[0], precision: 5);
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Assert.Equal(1.0f, px[0], precision: 5);
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Assert.Equal(1.0f, vx[1], precision: 5);
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Assert.Equal(0.0f, px[1], precision: 5);
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Assert.Equal(0.0f, py[1], precision: 5);
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}
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}
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