using CultMath; using Xunit; namespace CultMath.Tests; public sealed class MathTests { [Fact] public void FracMatchesShaderStylePositiveAndNegativeValues() { Assert.Equal(0.25f, math.frac(1.25f)); Assert.Equal(0.75f, math.frac(-1.25f)); } [Fact] public void VectorOperationsAreComponentWise() { var value = new float3(1.0f, 2.0f, 3.0f) * new float3(4.0f, 5.0f, 6.0f); Assert.Equal(new float3(4.0f, 10.0f, 18.0f), value); } [Fact] public void VectorConstructorsAcceptLowerDimensionVectors() { Assert.Equal(new float2(1.0f, 2.0f), math.float2(1.0f, 2.0f)); Assert.Equal(new float3(1.0f, 1.0f, 1.0f), math.float3(1.0f)); Assert.Equal(new float4(1.0f, 2.0f, 3.0f, 4.0f), math.float4(new float3(1.0f, 2.0f, 3.0f), 4.0f)); Assert.Equal(new float3(1.0f, 2.0f, 3.0f), new float3(new float2(1.0f, 2.0f), 3.0f)); Assert.Equal(new float4(1.0f, 2.0f, 3.0f, 4.0f), new float4(new float2(1.0f, 2.0f), 3.0f, 4.0f)); Assert.Equal(new float4(1.0f, 2.0f, 3.0f, 4.0f), new float4(new float3(1.0f, 2.0f, 3.0f), 4.0f)); } [Fact] public void NormalizeProducesUnitLength() { var value = math.normalize(new float3(3.0f, 4.0f, 0.0f)); Assert.Equal(1.0f, math.length(value), precision: 5); } [Fact] public void SmoothstepUsesHermiteRamp() { Assert.Equal(0.0f, math.smoothstep(0.0f, 1.0f, -1.0f)); Assert.Equal(0.5f, math.smoothstep(0.0f, 1.0f, 0.5f), precision: 5); Assert.Equal(1.0f, math.smoothstep(0.0f, 1.0f, 2.0f)); Assert.Equal(0.5f, math.smootherstep(0.5f), precision: 5); } [Fact] public void TrigIntrinsicsUseRadians() { Assert.Equal(1.0f, math.sin(math.HALF_PI), precision: 5); Assert.Equal(-1.0f, math.cos(math.PI), precision: 5); Assert.Equal(1.0f, math.tan(math.PI * 0.25f), precision: 5); Assert.Equal(math.HALF_PI, math.atan2(1.0f, 0.0f), precision: 5); } [Fact] public void AetheriaPrimitivesRemainSmallAndDeterministic() { Assert.Equal(6.0f, math.csum(new float3(1.0f, 2.0f, 3.0f))); Assert.Equal(MathF.Exp(-2.0f), math.decay(1.0f, 2.0f, 1.0f), precision: 5); Assert.Equal(1.0f - MathF.Exp(-2.0f), math.damp(0.0f, 1.0f, 2.0f, 1.0f), precision: 5); Assert.Equal(15.0f, math.catmullrom(0.0f, 10.0f, 20.0f, 30.0f, 0.5f), precision: 5); Assert.Equal(0.25f, math.quadratic_bezier(0.0f, 0.0f, 1.0f, 0.5f), precision: 5); Assert.Equal(0.5f, math.cubic_bezier(0.0f, 0.0f, 1.0f, 1.0f, 0.5f), precision: 5); } [Fact] public void SegmentDistanceReportsClosestPoint() { 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); Assert.Equal(3.0f, distance, precision: 5); Assert.Equal(new float2(2.0f, 0.0f), closest); } [Fact] public void FirstOrderInterceptSolvesSimpleClosingTarget() { var time = math.first_order_intercept_time( 2.0f, new float3(10.0f, 0.0f, 0.0f), new float3(-1.0f, 0.0f, 0.0f)); Assert.Equal(10.0f / 3.0f, time, precision: 5); } [Fact] public void ValueNoiseIsDeterministicAndSmoothAtCellCorners() { var position = new float2(12.25f, -4.5f); Assert.Equal(math.value_noise(position), math.value_noise(position)); Assert.Equal(math.hash(new float2(3.0f, 5.0f)), math.value_noise(new float2(3.0f, 5.0f)), precision: 5); var bicubic = math.value_noise_bicubic(position); Assert.True(bicubic > -0.25f && bicubic < 1.25f); } [Fact] public void VoronoiBatchProducesToneMappedColors() { var xs = new[] { 0.0f, 24.0f, 96.0f }; var ys = new[] { 0.0f, 36.0f, 144.0f }; var tones = new[] { CultMathTone.Background, CultMathTone.Header, CultMathTone.Body }; var spans = new[] { 1920.0f, 8.0f, 8.0f }; var colors = new Color32[xs.Length]; Voronoi.SampleTones(xs, ys, tones, spans, 1080.0f, 12, colors); Assert.NotEqual(new Color32(), colors[0]); Assert.True(colors[1].r > colors[1].g); Assert.True(colors[2].r > 120 && colors[2].g > 120 && colors[2].b > 120); } }