/**
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* Tencent is pleased to support the open source community by making QMUI_iOS available.
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* Copyright (C) 2016-2021 THL A29 Limited, a Tencent company. All rights reserved.
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* Licensed under the MIT License (the "License"); you may not use this file except in compliance with the License. You may obtain a copy of the License at
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* http://opensource.org/licenses/MIT
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* Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the specific language governing permissions and limitations under the License.
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*/
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//
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// QMUIEasings.h
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// WeRead
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//
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// Created by zhoonchen on 2018/9/3.
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//
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#import <UIKit/UIKit.h>
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/// https://easings.net
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/// http://cubic-bezier.com
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CG_INLINE CGFloat
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QMUI_Linear(CGFloat t) {
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return t;
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}
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CG_INLINE CGFloat
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QMUI_EaseInSine(CGFloat t) {
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return 1 - cos(t * M_PI_2);
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}
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CG_INLINE CGFloat
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QMUI_EaseOutSine(CGFloat t) {
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return sin(t * M_PI_2);
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}
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CG_INLINE CGFloat
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QMUI_EaseInOutSine(CGFloat t) {
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return - (cos(M_PI * t) - 1) / 2;
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}
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CG_INLINE CGFloat
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QMUI_EaseInQuad(CGFloat t) {
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return pow(t, 2);
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}
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CG_INLINE CGFloat
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QMUI_EaseOutQuad(CGFloat t) {
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return 1 - pow(1 - t, 2);
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}
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CG_INLINE CGFloat
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QMUI_EaseInOutQuad(CGFloat t) {
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return t < 0.5 ? (2 * pow(t, 2)) : (1 - pow(-2 * t + 2, 2) / 2);
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}
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CG_INLINE CGFloat
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QMUI_EaseInCubic(CGFloat t) {
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return pow(t, 3);
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}
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CG_INLINE CGFloat
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QMUI_EaseOutCubic(CGFloat t) {
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return 1 - pow(1 - t, 3);
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}
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CG_INLINE CGFloat
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QMUI_EaseInOutCubic(CGFloat t) {
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return t < 0.5 ? (4 * pow(t, 3)) : (1 - pow(-2 * t + 2, 3) / 2);
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}
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CG_INLINE CGFloat
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QMUI_EaseInQuart(CGFloat t) {
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return pow(t, 4);
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}
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CG_INLINE CGFloat
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QMUI_EaseOutQuart(CGFloat t) {
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return 1 - pow(1 - t, 4);
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}
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CG_INLINE CGFloat
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QMUI_EaseInOutQuart(CGFloat t) {
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return t < 0.5 ? (8 * pow(t, 4)) : (1 - pow(-2 * t + 2, 4) / 2);
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}
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CG_INLINE CGFloat
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QMUI_EaseInQuint(CGFloat t) {
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return pow(t, 5);
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}
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CG_INLINE CGFloat
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QMUI_EaseOutQuint(CGFloat t) {
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return 1 - pow(1 - t, 5);
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}
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CG_INLINE CGFloat
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QMUI_EaseInOutQuint(CGFloat t) {
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return t < 0.5 ? (16 * pow(t, 5)) : (1 - pow(-2 * t + 2, 5) / 2);
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}
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CG_INLINE CGFloat
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QMUI_EaseInExpo(CGFloat t) {
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return t == 0 ? 0 : pow(2, 10 * t - 10);
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}
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CG_INLINE CGFloat
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QMUI_EaseOutExpo(CGFloat t) {
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return t == 1 ? 1 : 1 - pow(2, -10 * t);
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}
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CG_INLINE CGFloat
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QMUI_EaseInOutExpo(CGFloat t) {
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return t == 0 ? 0 : t == 1 ? 1 : t < 0.5 ? pow(2, 20 * t - 10 ) / 2 : (2 - pow(2, -20 * t + 10 )) / 2;
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}
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CG_INLINE CGFloat
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QMUI_EaseInCirc(CGFloat t) {
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return 1 - sqrt(1 - pow(t, 2));
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}
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CG_INLINE CGFloat
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QMUI_EaseOutCirc(CGFloat t) {
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return sqrt(1 - pow(t - 1, 2));
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}
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CG_INLINE CGFloat
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QMUI_EaseInOutCirc(CGFloat t) {
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return t < 0.5 ? (1 - sqrt(1 - pow(2 * t, 2))) / 2 : (sqrt(1 - pow(-2 * t + 2, 2)) + 1) / 2;
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}
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CG_INLINE CGFloat
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QMUI_EaseInBack(CGFloat t) {
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return pow(t, 3) - t * sin(t * M_PI);
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}
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CG_INLINE CGFloat
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QMUI_EaseOutBack(CGFloat t) {
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CGFloat f = (1 - t);
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return 1 - (pow(f, 3) - f * sin(f * M_PI));
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}
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CG_INLINE CGFloat
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QMUI_EaseInOutBack(CGFloat t) {
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if (t < 0.5) {
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CGFloat f = 2 * t;
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return 0.5 * (pow(f, 3) - f * sin(f * M_PI));
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} else {
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CGFloat f = (1 - (2 * t - 1));
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return 0.5 * (1 - (pow(f, 3) - f * sin(f * M_PI))) + 0.5;
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}
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}
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CG_INLINE CGFloat
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QMUI_EaseInElastic(CGFloat t) {
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return sin(13 * M_PI_2 * t) * pow(2, 10 * (t - 1));
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}
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CG_INLINE CGFloat
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QMUI_EaseOutElastic(CGFloat t) {
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return sin(-13 * M_PI_2 * (t + 1)) * pow(2, -10 * t) + 1;
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}
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CG_INLINE CGFloat
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QMUI_EaseInOutElastic(CGFloat t) {
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if (t < 0.5) {
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return 0.5 * sin(13 * M_PI_2 * (2 * t)) * pow(2, 10 * ((2 * t) - 1));
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} else {
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return 0.5 * (sin(-13 * M_PI_2 * ((2 * t - 1) + 1)) * pow(2, -10 * (2 * t - 1)) + 2);
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}
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}
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CG_INLINE CGFloat
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QMUI_EaseOutBounce(CGFloat t) {
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if (t < 4.0 / 11.0) {
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return (121.0 * t * t) / 16.0;
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} else if (t < 8.0 / 11.0) {
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return (363.0 / 40.0 * t * t) - (99.0 / 10.0 * t) + 17.0 / 5.0;
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} else if(t < 9.0 / 10.0) {
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return (4356.0 / 361.0 * t * t) - (35442.0 / 1805.0 * t) + 16061.0 / 1805.0;
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} else {
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return (54.0 / 5.0 * t * t) - (513.0 / 25.0 * t) + 268.0 / 25.0;
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}
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}
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CG_INLINE CGFloat
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QMUI_EaseInBounce(CGFloat t) {
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return 1 - QMUI_EaseOutBounce(1 - t);
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}
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CG_INLINE CGFloat
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QMUI_EaseInOutBounce(CGFloat t) {
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if (t < 0.5) {
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return 0.5 * QMUI_EaseInBounce(t * 2);
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} else {
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return 0.5 * QMUI_EaseOutBounce(t * 2 - 1) + 0.5;
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}
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}
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CG_INLINE CGFloat
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QMUI_EaseSpring(CGFloat t, CGFloat mass, CGFloat damping, CGFloat stiffness, CGFloat initialVelocity) {
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// https://webkit.org/demos/spring/spring.js
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// https://webkit.org/demos/spring
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CGFloat m_w0 = sqrt(stiffness / mass);
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CGFloat m_zeta = damping / (2 * sqrt(stiffness * mass));
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CGFloat m_wd = 0;
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CGFloat m_A = 0;
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CGFloat m_B = 0;
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if (m_zeta < 1) {
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// Under-damped.
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m_wd = m_w0 * sqrt(1 - m_zeta * m_zeta);
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m_A = 1;
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m_B = (m_zeta * m_w0 + -initialVelocity) / m_wd;
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} else {
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// Critically damped (ignoring over-damped case for now).
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m_wd = 0;
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m_A = 1;
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m_B = -initialVelocity + m_w0;
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}
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if (m_zeta < 1) {
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// Under-damped
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t = exp(-t * m_zeta * m_w0) * (m_A * cos(m_wd * t) + m_B * sin(m_wd * t));
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} else {
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// Critically damped (ignoring over-damped case for now).
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t = (m_A + m_B * t) * exp(-t * m_w0);
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}
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// Map range from [1..0] to [0..1].
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return 1 - t;
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}
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