修改游戏底层矩阵相关

source/math/EaseFunctions.h

@@ -0,0 +1,278 @@
+// Copyright (c) 2016-2018 Ember - Nomango
+//
+// Permission is hereby granted, free of charge, to any person obtaining a copy
+// of this software and associated documentation files (the "Software"), to deal
+// in the Software without restriction, including without limitation the rights
+// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+// copies of the Software, and to permit persons to whom the Software is
+// furnished to do so, subject to the following conditions:
+//
+// The above copyright notice and this permission notice shall be included in
+// all copies or substantial portions of the Software.
+//
+// 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. IN NO EVENT SHALL THE
+// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+// THE SOFTWARE.
+
+#pragma once
+#include <math/Scalar.h>
+
+namespace ember
+{
+    namespace math
+    {
+
+        inline float Linear(float step)
+        {
+            return step;
+        }
+
+        // Ease
+
+        inline float EaseIn(float step, float rate)
+        {
+            return math::Pow(step, rate);
+        }
+
+        inline float EaseOut(float step, float rate)
+        {
+            return math::Pow(step, 1.f / rate);
+        }
+
+        inline float EaseInOut(float step, float rate)
+        {
+            if (step < .5f)
+                return .5f * math::Pow(2 * step, rate);
+            return 1.f - .5f * math::Pow(2.f - 2 * step, rate);
+        }
+
+        // Exponential Ease
+
+        inline float EaseExponentialIn(float step)
+        {
+            return math::Pow(2.f, 10 * (step - 1));
+        }
+
+        inline float EaseExponentialOut(float step)
+        {
+            return 1.f - math::Pow(2.f, -10 * step);
+        }
+
+        inline float EaseExponentialInOut(float step)
+        {
+            if (step < .5f)
+                return .5f * math::Pow(2.f, 10 * (2 * step - 1));
+            return 0.5f * (2 - math::Pow(2, -10 * (step * 2 - 1)));
+        }
+
+        // Bounce Ease
+
+        inline float EaseBounceOut(float step)
+        {
+            if (step < 1 / 2.75f)
+            {
+                return 7.5625f * step * step;
+            }
+            else if (step < 2 / 2.75f)
+            {
+                step -= 1.5f / 2.75f;
+                return 7.5625f * step * step + 0.75f;
+            }
+            else if (step < 2.5f / 2.75f)
+            {
+                step -= 2.25f / 2.75f;
+                return 7.5625f * step * step + 0.9375f;
+            }
+
+            step -= 2.625f / 2.75f;
+            return 7.5625f * step * step + 0.984375f;
+        }
+
+        inline float EaseBounceIn(float step)
+        {
+            return 1 - EaseBounceOut(1 - step);
+        }
+
+        inline float EaseBounceInOut(float step)
+        {
+            if (step < 0.5f)
+            {
+                return EaseBounceIn(step * 2) * 0.5f;
+            }
+            else
+            {
+                return EaseBounceOut(step * 2 - 1) * 0.5f + 0.5f;
+            }
+        }
+
+        // Elastic Ease
+
+        inline float EaseElasticIn(float step, float period)
+        {
+            if (step == 0 || step == 1)
+                return step;
+
+            step = step - 1;
+            return -math::Pow(2, 10 * step) * math::Sin((step - period / 4) * 360.f / period);
+        }
+
+        inline float EaseElasticOut(float step, float period)
+        {
+            if (step == 0 || step == 1)
+                return step;
+
+            return math::Pow(2, -10 * step) * math::Sin((step - period / 4) * 360.f / period) + 1;
+        }
+
+        inline float EaseElasticInOut(float step, float period)
+        {
+            if (step == 0 || step == 1)
+                return step;
+
+            step = step * 2 - 1;
+            if (step < 0)
+            {
+                return -0.5f * math::Pow(2, 10 * step) * math::Sin((step - period / 4) * 360.f / period);
+            }
+            return math::Pow(2, -10 * step) * math::Sin((step - period / 4) * 360.f / period) * 0.5f + 1;
+        }
+
+        // Back Ease
+
+        inline float EaseBackIn(float step)
+        {
+            const float overshoot = 1.70158f;
+            return step * step * ((overshoot + 1) * step - overshoot);
+        }
+
+        inline float EaseBackOut(float step)
+        {
+            const float overshoot = 1.70158f;
+            step = step - 1;
+            return step * step * ((overshoot + 1) * step + overshoot) + 1;
+        }
+
+        inline float EaseBackInOut(float step)
+        {
+            const float overshoot = 1.70158f * 1.525f;
+
+            step = step * 2;
+            if (step < 1)
+            {
+                return (step * step * ((overshoot + 1) * step - overshoot)) / 2;
+            }
+
+            step = step - 2;
+            return (step * step * ((overshoot + 1) * step + overshoot)) / 2 + 1;
+        }
+
+        // Sine Ease
+
+        inline float EaseSineIn(float step)
+        {
+            return 1.f - math::Cos(step * 90);
+        }
+
+        inline float EaseSineOut(float step)
+        {
+            return math::Sin(step * 90);
+        }
+
+        inline float EaseSineInOut(float step)
+        {
+            return -0.5f * (math::Cos(step * 180) - 1);
+        }
+
+        // Quad Ease
+
+        inline float EaseQuadIn(float step)
+        {
+            return step * step;
+        }
+
+        inline float EaseQuadOut(float step)
+        {
+            return -1 * step * (step - 2);
+        }
+
+        inline float EaseQuadInOut(float step)
+        {
+            step = step * 2;
+            if (step < 1)
+                return 0.5f * step * step;
+            --step;
+            return -0.5f * (step * (step - 2) - 1);
+        }
+
+        // Cubic Ease
+
+        inline float EaseCubicIn(float step)
+        {
+            return step * step * step;
+        }
+
+        inline float EaseCubicOut(float step)
+        {
+            step -= 1;
+            return (step * step * step + 1);
+        }
+
+        inline float EaseCubicInOut(float step)
+        {
+            step = step * 2;
+            if (step < 1)
+                return 0.5f * step * step * step;
+            step -= 2;
+            return 0.5f * (step * step * step + 2);
+        }
+
+        // Quart Ease
+
+        inline float EaseQuartIn(float step)
+        {
+            return step * step * step * step;
+        }
+
+        inline float EaseQuartOut(float step)
+        {
+            step -= 1;
+            return -(step * step * step * step - 1);
+        }
+
+        inline float EaseQuartInOut(float step)
+        {
+            step = step * 2;
+            if (step < 1)
+                return 0.5f * step * step * step * step;
+            step -= 2;
+            return -0.5f * (step * step * step * step - 2);
+        }
+
+        // Quint Ease
+
+        inline float EaseQuintIn(float step)
+        {
+            return step * step * step * step * step;
+        }
+
+        inline float EaseQuintOut(float step)
+        {
+            step -= 1;
+            return (step * step * step * step * step + 1);
+        }
+
+        inline float EaseQuintInOut(float step)
+        {
+            step = step * 2;
+            if (step < 1)
+                return 0.5f * step * step * step * step * step;
+            step -= 2;
+            return 0.5f * (step * step * step * step * step + 2);
+        }
+
+    } // namespace math
+} // namespace ember