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#include "UnityPrefix.h"
#include "Configuration/UnityConfigure.h"
#if ENABLE_UNIT_TESTS
#include "External/UnitTest++/src/UnitTest++.h"
#include "Runtime/Animation/AnimationCurveUtility.h"
#include "Runtime/Math/Vector2.h"
#include "Runtime/Graphics/ParticleSystem/PolynomialCurve.h"
static float PhysicsSimulate (float gravity, float velocity, float time)
{
return velocity * time + gravity * time * time * 0.5F;
}
SUITE (PolynomialCurveTests)
{
TEST (PolynomialCurve_ConstantIntegrate)
{
AnimationCurve editorCurve;
OptimizedPolynomialCurve curve;
PolynomialCurve polyCurve;
SetPolynomialCurveToValue(editorCurve, curve, 1.0f);
curve.Integrate();
polyCurve.BuildCurve(editorCurve, 1.0f);
polyCurve.Integrate();
CHECK_CLOSE(0.0F, curve.EvaluateIntegrated(0.0F), 0.0001F);
CHECK_CLOSE(0.5F, curve.EvaluateIntegrated(0.5F), 0.0001F);
CHECK_CLOSE(1.0F, curve.EvaluateIntegrated(1.0F), 0.0001F);
CHECK_CLOSE(0.0F, polyCurve.EvaluateIntegrated(0.0F), 0.0001F);
CHECK_CLOSE(0.5F, polyCurve.EvaluateIntegrated(0.5F), 0.0001F);
CHECK_CLOSE(1.0F, polyCurve.EvaluateIntegrated(1.0F), 0.0001F);
CHECK_EQUAL(true, CompareApproximately(Vector2f(0.0f, 1.0f), curve.FindMinMaxIntegrated(), 0.0001F));
CHECK_EQUAL(true, CompareApproximately(Vector2f(0.0f, 1.01f), polyCurve.FindMinMaxIntegrated(), 0.0001F));
SetPolynomialCurveToLinear(editorCurve, curve);
curve.Integrate();
polyCurve.BuildCurve(editorCurve, 1.0f);
polyCurve.Integrate();
CHECK_CLOSE(0.0F, curve.EvaluateIntegrated(0.0F), 0.0001F);
CHECK_CLOSE(0.125F, curve.EvaluateIntegrated(0.5F), 0.0001F);
CHECK_CLOSE(0.5F, curve.EvaluateIntegrated(1.0F), 0.0001F);
CHECK_CLOSE(0.0F, polyCurve.EvaluateIntegrated(0.0F), 0.0001F);
CHECK_CLOSE(0.125F, polyCurve.EvaluateIntegrated(0.5F), 0.0001F);
CHECK_CLOSE(0.5F, polyCurve.EvaluateIntegrated(1.0F), 0.0001F);
CHECK_EQUAL(true, CompareApproximately(Vector2f(0.0f, 0.5f), curve.FindMinMaxIntegrated(), 0.0001F));
CHECK_EQUAL(true, CompareApproximately(Vector2f(0.0f, 0.51005f), polyCurve.FindMinMaxIntegrated(), 0.0001F));
}
// @TODO: Add generic poly
TEST (PolynomialCurve_ConstantDoubleIntegrate)
{
AnimationCurve editorCurve;
OptimizedPolynomialCurve curve;
PolynomialCurve polyCurve;
SetPolynomialCurveToValue(editorCurve, curve, 1.0f);
curve.DoubleIntegrate();
polyCurve.BuildCurve(editorCurve, 1.0f);
polyCurve.DoubleIntegrate();
CHECK_CLOSE(PhysicsSimulate(1, 0, 0.00F), curve.EvaluateDoubleIntegrated(0.00F), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(1, 0, 0.25F), curve.EvaluateDoubleIntegrated(0.25F), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(1, 0, 0.50F), curve.EvaluateDoubleIntegrated(0.50F), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(1, 0, 0.75F), curve.EvaluateDoubleIntegrated(0.75F), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(1, 0, 1.00F), curve.EvaluateDoubleIntegrated(1.00F), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(1, 0, 0.00F), polyCurve.EvaluateDoubleIntegrated(0.00F), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(1, 0, 0.25F), polyCurve.EvaluateDoubleIntegrated(0.25F), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(1, 0, 0.50F), polyCurve.EvaluateDoubleIntegrated(0.50F), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(1, 0, 0.75F), polyCurve.EvaluateDoubleIntegrated(0.75F), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(1, 0, 1.00F), polyCurve.EvaluateDoubleIntegrated(1.00F), 0.0001F);
CHECK_EQUAL(true, CompareApproximately(Vector2f(0.0f, 0.5f), curve.FindMinMaxDoubleIntegrated(), 0.0001F));
CHECK_EQUAL(true, CompareApproximately(Vector2f(0.0f, 0.5f), polyCurve.FindMinMaxDoubleIntegrated(), 0.0001F));
AnimationCurve::Keyframe keys[3] = { AnimationCurve::Keyframe(0.0f, 1.0f), AnimationCurve::Keyframe(0.5f, 1.0f), AnimationCurve::Keyframe(1.0f, 1.0f) };
editorCurve.Assign(keys, keys + 3);
curve.BuildOptimizedCurve(editorCurve, 1);
curve.DoubleIntegrate();
polyCurve.BuildCurve(editorCurve, 1.0f);
polyCurve.DoubleIntegrate();
CHECK_CLOSE(PhysicsSimulate(1, 0, 0.00F), curve.EvaluateDoubleIntegrated(0.00F), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(1, 0, 0.25F), curve.EvaluateDoubleIntegrated(0.25F), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(1, 0, 0.50F), curve.EvaluateDoubleIntegrated(0.50F), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(1, 0, 0.75F), curve.EvaluateDoubleIntegrated(0.75F), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(1, 0, 1.00F), curve.EvaluateDoubleIntegrated(1.00F), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(1, 0, 0.00F), polyCurve.EvaluateDoubleIntegrated(0.00F), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(1, 0, 0.25F), polyCurve.EvaluateDoubleIntegrated(0.25F), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(1, 0, 0.50F), polyCurve.EvaluateDoubleIntegrated(0.50F), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(1, 0, 0.75F), polyCurve.EvaluateDoubleIntegrated(0.75F), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(1, 0, 1.00F), polyCurve.EvaluateDoubleIntegrated(1.00F), 0.0001F);
CHECK_EQUAL(true, CompareApproximately(Vector2f(0.0f, 0.5f), curve.FindMinMaxDoubleIntegrated(), 0.0001F));
CHECK_EQUAL(true, CompareApproximately(Vector2f(0.0f, 0.5f), polyCurve.FindMinMaxDoubleIntegrated(), 0.0001F));
}
static float EvaluateGravityIntegrated (OptimizedPolynomialCurve& gravityCurve, float time, float maximumRange)
{
float res = gravityCurve.EvaluateDoubleIntegrated(time / maximumRange) * maximumRange * maximumRange;
return res;
}
TEST (PolynomialCurve_GravityIntegrate)
{
const float kGravity = -9.81f;
AnimationCurve editorCurve;
OptimizedPolynomialCurve gravityCurve;
SetPolynomialCurveToValue(editorCurve, gravityCurve, kGravity);
gravityCurve.DoubleIntegrate();
const float kMaxRange = 5.0F;
CHECK_CLOSE(PhysicsSimulate(kGravity, 0.0F, 0.0F), EvaluateGravityIntegrated(gravityCurve, 0.0F, kMaxRange), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(kGravity, 0.0F, 0.5F), EvaluateGravityIntegrated(gravityCurve, 0.5F, kMaxRange), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(kGravity, 0.0F, 1.0F), EvaluateGravityIntegrated(gravityCurve, 1.0F, kMaxRange), 0.0001F);
CHECK_CLOSE(PhysicsSimulate(kGravity, 0.0F, 5.0F), EvaluateGravityIntegrated(gravityCurve, 5.0F, kMaxRange), 0.0001F);
}
float TriangleShapeIntegralFirstHalf (float x)
{
return (2.0F / 3.0F) *x*x*x - 0.5F*x*x;
}
// Test that a simple triangle shape 0,-1 to 0.5,1 to 1,-1
// Gives expected results during double integration
TEST (PolynomialCurve_TriangleShapeDoubleIntegrate)
{
OptimizedPolynomialCurve curve;
AnimationCurve::Keyframe keys[3] = { AnimationCurve::Keyframe(0.0f, -1.0f), AnimationCurve::Keyframe(0.5f, 1.0f), AnimationCurve::Keyframe(1.0f, -1.0f) };
AnimationCurve editorCurve;
editorCurve.Assign(keys, keys + 3);
RecalculateSplineSlopeLinear(editorCurve);
curve.BuildOptimizedCurve(editorCurve, 1.0F);
CHECK_CLOSE(-1, curve.Evaluate(0), 0.0001F);
CHECK_CLOSE(0, curve.Evaluate(0.25F), 0.0001F);
CHECK_CLOSE(1.0F, curve.Evaluate(0.5F), 0.0001F);
CHECK_CLOSE(0.0F, curve.Evaluate(0.75F), 0.0001F);
CHECK_CLOSE(-1, curve.Evaluate(1), 0.0001F);
curve.DoubleIntegrate();
CHECK_CLOSE(TriangleShapeIntegralFirstHalf(0), EvaluateGravityIntegrated(curve, 0.0F , 1.0F), 0.0001F);
CHECK_CLOSE(TriangleShapeIntegralFirstHalf(0.25F), EvaluateGravityIntegrated(curve, 0.25F, 1.0F), 0.0001F);
CHECK_CLOSE(TriangleShapeIntegralFirstHalf(0.5F), EvaluateGravityIntegrated(curve, 0.5F , 1.0F), 0.0001F);
CHECK_CLOSE(-0.0208333, EvaluateGravityIntegrated(curve, 0.75F, 1.0F), 0.0001F);
CHECK_CLOSE(0, EvaluateGravityIntegrated(curve, 1.0F , 1.0F), 0.0001F);
}
void CompareIntegrateCurve (const AnimationCurve& curve, const OptimizedPolynomialCurve& integratedCurve)
{
CHECK_CLOSE(0, integratedCurve.EvaluateIntegrated(0), 0.0001F);
int intervals = 100;
float sum = 0.0F;
for (int i=1;i<intervals;i++)
{
float t = (float)i / (float)intervals;
float dt = 1.0F / (float)intervals;
float avgValue = curve.Evaluate(t - dt * 0.5F);
sum += avgValue * dt;
float integratedValue = integratedCurve.EvaluateIntegrated(t);
CHECK_CLOSE(sum, integratedValue, 0.0001F);
}
}
void CompareDoubleIntegrateCurve (const AnimationCurve& curve, const OptimizedPolynomialCurve& integratedCurve)
{
CHECK_CLOSE(0, integratedCurve.EvaluateIntegrated(0), 0.0001F);
int intervals = 1000;
float integratedSum = 0.0F;
float sum = 0.0F;
for (int i=1;i<intervals;i++)
{
float t = (float)i / (float)intervals;
float dt = 1.0F / (float)intervals;
float avgValue = curve.Evaluate(t - dt * 0.5F);
sum += avgValue * dt;
integratedSum += sum * dt;
float integratedValue = integratedCurve.EvaluateDoubleIntegrated(t);
CHECK_CLOSE(integratedSum, integratedValue, 0.001F);
}
}
void CompareIntegrateCurve (const AnimationCurve::Keyframe* keys, int size)
{
AnimationCurve sourceCurve;
sourceCurve.Assign(keys, keys + size);
OptimizedPolynomialCurve curve;
AnimationCurve editorCurve;
editorCurve = sourceCurve;
curve.BuildOptimizedCurve(editorCurve, 1);
curve.Integrate();
CompareIntegrateCurve(sourceCurve, curve);
}
void CompareDoubleIntegrateCurve (const AnimationCurve::Keyframe* keys, int size)
{
AnimationCurve sourceCurve;
sourceCurve.Assign(keys, keys + size);
OptimizedPolynomialCurve curve;
AnimationCurve editorCurve;
editorCurve = sourceCurve;
curve.BuildOptimizedCurve(editorCurve, 1);
curve.DoubleIntegrate();
CompareDoubleIntegrateCurve(sourceCurve, curve);
}
TEST (PolynomialCurve_TriangleCurve)
{
AnimationCurve sourceCurve;
AnimationCurve::Keyframe keys[3] = { AnimationCurve::Keyframe(0.0f, 0.0f), AnimationCurve::Keyframe(0.5f, 1.0f), AnimationCurve::Keyframe(1.0f, 0.0f) };
sourceCurve.Assign(keys, keys + 3);
RecalculateSplineSlopeLinear(sourceCurve);
CompareIntegrateCurve(&sourceCurve.GetKey(0), sourceCurve.GetKeyCount());
CompareDoubleIntegrateCurve(&sourceCurve.GetKey(0), sourceCurve.GetKeyCount());
}
TEST (PolynomialCurve_LineCurve)
{
AnimationCurve sourceCurve;
AnimationCurve::Keyframe keys[2] = { AnimationCurve::Keyframe(0.0f, 0.0f), AnimationCurve::Keyframe(1.0f, 1.0f) };
sourceCurve.Assign(keys, keys + 2);
RecalculateSplineSlopeLinear(sourceCurve);
CompareIntegrateCurve(&sourceCurve.GetKey(0), sourceCurve.GetKeyCount());
CompareDoubleIntegrateCurve(&sourceCurve.GetKey(0), sourceCurve.GetKeyCount());
}
}
#endif
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