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Merge pull request #8021 from Robyt3/Envelope-Render-Fixes
Various fixes for envelope and bezier evaluation
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commit
758664c29d
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@ -124,13 +124,6 @@ const CEnvPointBezier *CMapBasedEnvelopePointAccess::GetBezier(int Index) const
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return nullptr;
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}
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static void ValidateFCurve(const vec2 &p0, vec2 &p1, vec2 &p2, const vec2 &p3)
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{
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// validate the bezier curve
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p1.x = clamp(p1.x, p0.x, p3.x);
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p2.x = clamp(p2.x, p0.x, p3.x);
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}
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static double CubicRoot(double x)
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{
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if(x == 0.0)
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@ -143,11 +136,6 @@ static double CubicRoot(double x)
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static float SolveBezier(float x, float p0, float p1, float p2, float p3)
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{
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// check for valid f-curve
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// we only take care of monotonic bezier curves, so there has to be exactly 1 real solution
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if(!(p0 <= x && x <= p3) || !(p0 <= p1 && p1 <= p3) || !(p0 <= p2 && p2 <= p3))
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return 0.0f;
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const double x3 = -p0 + 3.0 * p1 - 3.0 * p2 + p3;
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const double x2 = 3.0 * p0 - 6.0 * p1 + 3.0 * p2;
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const double x1 = -3.0 * p0 + 3.0 * p1;
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@ -167,7 +155,7 @@ static float SolveBezier(float x, float p0, float p1, float p2, float p3)
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else if(x3 == 0.0)
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{
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// quadratic
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// t * t + b * t +c = 0
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// t * t + b * t + c = 0
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const double b = x1 / x2;
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const double c = x0 / x2;
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@ -179,7 +167,7 @@ static float SolveBezier(float x, float p0, float p1, float p2, float p3)
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const double t = (-b + SqrtD) / 2.0;
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if(0.0 <= t && t <= 1.0001f)
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if(0.0 <= t && t <= 1.0001)
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return t;
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return (-b - SqrtD) / 2.0;
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}
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@ -213,24 +201,24 @@ static float SolveBezier(float x, float p0, float p1, float p2, float p3)
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const double s = CubicRoot(-q);
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const double t = 2.0 * s - sub;
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if(0.0 <= t && t <= 1.0001f)
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if(0.0 <= t && t <= 1.0001)
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return t;
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return (-s - sub);
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}
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else
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{
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// Casus irreductibilis ... ,_,
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// Casus irreducibilis ... ,_,
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const double phi = std::acos(-q / std::sqrt(-(p * p * p))) / 3.0;
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const double s = 2.0 * std::sqrt(-p);
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const double t1 = s * std::cos(phi) - sub;
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if(0.0 <= t1 && t1 <= 1.0001f)
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if(0.0 <= t1 && t1 <= 1.0001)
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return t1;
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const double t2 = -s * std::cos(phi + pi / 3.0) - sub;
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if(0.0 <= t2 && t2 <= 1.0001f)
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if(0.0 <= t2 && t2 <= 1.0001)
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return t2;
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return -s * std::cos(phi - pi / 3.0) - sub;
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}
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@ -267,7 +255,7 @@ void CRenderTools::RenderEvalEnvelope(const IEnvelopePointAccess *pPoints, std::
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{
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const CEnvPoint *pCurrentPoint = pPoints->GetPoint(i);
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const CEnvPoint *pNextPoint = pPoints->GetPoint(i + 1);
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if(TimeMillis >= pCurrentPoint->m_Time && TimeMillis <= pNextPoint->m_Time)
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if(TimeMillis >= pCurrentPoint->m_Time && TimeMillis < pNextPoint->m_Time)
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{
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const float Delta = pNextPoint->m_Time - pCurrentPoint->m_Time;
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float a = (float)(TimeMillis - pCurrentPoint->m_Time) / Delta;
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@ -300,19 +288,21 @@ void CRenderTools::RenderEvalEnvelope(const IEnvelopePointAccess *pPoints, std::
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for(size_t c = 0; c < Channels; c++)
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{
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// monotonic 2d cubic bezier curve
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const vec2 p0 = vec2(pCurrentPoint->m_Time / 1000.0f, fx2f(pCurrentPoint->m_aValues[c]));
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const vec2 p3 = vec2(pNextPoint->m_Time / 1000.0f, fx2f(pNextPoint->m_aValues[c]));
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const vec2 p0 = vec2(pCurrentPoint->m_Time, fx2f(pCurrentPoint->m_aValues[c]));
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const vec2 p3 = vec2(pNextPoint->m_Time, fx2f(pNextPoint->m_aValues[c]));
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const vec2 OutTang = vec2(pCurrentPointBezier->m_aOutTangentDeltaX[c], fx2f(pCurrentPointBezier->m_aOutTangentDeltaY[c]));
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const vec2 InTang = vec2(pNextPointBezier->m_aInTangentDeltaX[c], fx2f(pNextPointBezier->m_aInTangentDeltaY[c]));
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const vec2 OutTang = vec2(pCurrentPointBezier->m_aOutTangentDeltaX[c] / 1000.0f, fx2f(pCurrentPointBezier->m_aOutTangentDeltaY[c]));
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const vec2 InTang = -vec2(pNextPointBezier->m_aInTangentDeltaX[c] / 1000.0f, fx2f(pNextPointBezier->m_aInTangentDeltaY[c]));
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vec2 p1 = p0 + OutTang;
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vec2 p2 = p3 - InTang;
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vec2 p2 = p3 + InTang;
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// validate bezier curve
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ValidateFCurve(p0, p1, p2, p3);
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p1.x = clamp(p1.x, p0.x, p3.x);
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p2.x = clamp(p2.x, p0.x, p3.x);
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// solve x(a) = time for a
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a = clamp(SolveBezier(TimeMillis / 1000.0f, p0.x, p1.x, p2.x, p3.x), 0.0f, 1.0f);
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a = clamp(SolveBezier(TimeMillis, p0.x, p1.x, p2.x, p3.x), 0.0f, 1.0f);
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// value = y(t)
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Result[c] = bezier(p0.y, p1.y, p2.y, p3.y, a);
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@ -6639,9 +6639,9 @@ void CEditor::RenderEnvelopeEditor(CUIRect View)
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float StepSize = (EndX - StartX) / static_cast<float>(Steps);
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ColorRGBA Channels = ColorRGBA(0.0f, 0.0f, 0.0f, 0.0f);
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pEnvelope->Eval(StartTime + StepTime, Channels, c + 1);
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pEnvelope->Eval(StartTime, Channels, c + 1);
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float PrevY = EnvelopeToScreenY(View, Channels[c]);
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for(int i = 2; i < Steps; i++)
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for(int i = 1; i < Steps; i++)
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{
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Channels = ColorRGBA(0.0f, 0.0f, 0.0f, 0.0f);
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pEnvelope->Eval(StartTime + i * StepTime, Channels, c + 1);
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