362 lines
9.8 KiB
C
362 lines
9.8 KiB
C
/* SPDX-FileCopyrightText: 2001 Robert Penner. All rights reserved.
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*
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* SPDX-License-Identifier: BSD-3-Clause */
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/** \file
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* \ingroup bli
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*/
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#include "BLI_math_base.h"
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#include "BLI_easing.h" /* own include */
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#include "BLI_strict_flags.h"
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/* blend if (amplitude < fabsf(change) */
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#define USE_ELASTIC_BLEND
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float BLI_easing_back_ease_in(
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float time, float begin, float change, float duration, float overshoot)
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{
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time /= duration;
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return change * time * time * ((overshoot + 1) * time - overshoot) + begin;
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}
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float BLI_easing_back_ease_out(
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float time, float begin, float change, float duration, float overshoot)
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{
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time = time / duration - 1;
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return change * (time * time * ((overshoot + 1) * time + overshoot) + 1) + begin;
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}
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float BLI_easing_back_ease_in_out(
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float time, float begin, float change, float duration, float overshoot)
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{
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overshoot *= 1.525f;
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if ((time /= duration / 2) < 1.0f) {
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return change / 2 * (time * time * ((overshoot + 1) * time - overshoot)) + begin;
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}
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time -= 2.0f;
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return change / 2 * (time * time * ((overshoot + 1) * time + overshoot) + 2) + begin;
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}
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float BLI_easing_bounce_ease_out(float time, float begin, float change, float duration)
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{
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time /= duration;
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if (time < (1 / 2.75f)) {
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return change * (7.5625f * time * time) + begin;
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}
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if (time < (2 / 2.75f)) {
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time -= (1.5f / 2.75f);
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return change * ((7.5625f * time) * time + 0.75f) + begin;
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}
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if (time < (2.5f / 2.75f)) {
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time -= (2.25f / 2.75f);
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return change * ((7.5625f * time) * time + 0.9375f) + begin;
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}
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time -= (2.625f / 2.75f);
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return change * ((7.5625f * time) * time + 0.984375f) + begin;
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}
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float BLI_easing_bounce_ease_in(float time, float begin, float change, float duration)
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{
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return change - BLI_easing_bounce_ease_out(duration - time, 0, change, duration) + begin;
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}
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float BLI_easing_bounce_ease_in_out(float time, float begin, float change, float duration)
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{
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if (time < duration / 2) {
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return BLI_easing_bounce_ease_in(time * 2, 0, change, duration) * 0.5f + begin;
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}
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return BLI_easing_bounce_ease_out(time * 2 - duration, 0, change, duration) * 0.5f +
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change * 0.5f + begin;
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}
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float BLI_easing_circ_ease_in(float time, float begin, float change, float duration)
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{
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time /= duration;
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return -change * (sqrtf(1 - time * time) - 1) + begin;
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}
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float BLI_easing_circ_ease_out(float time, float begin, float change, float duration)
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{
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time = time / duration - 1;
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return change * sqrtf(1 - time * time) + begin;
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}
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float BLI_easing_circ_ease_in_out(float time, float begin, float change, float duration)
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{
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if ((time /= duration / 2) < 1.0f) {
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return -change / 2 * (sqrtf(1 - time * time) - 1) + begin;
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}
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time -= 2.0f;
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return change / 2 * (sqrtf(1 - time * time) + 1) + begin;
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}
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float BLI_easing_cubic_ease_in(float time, float begin, float change, float duration)
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{
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time /= duration;
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return change * time * time * time + begin;
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}
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float BLI_easing_cubic_ease_out(float time, float begin, float change, float duration)
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{
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time = time / duration - 1;
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return change * (time * time * time + 1) + begin;
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}
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float BLI_easing_cubic_ease_in_out(float time, float begin, float change, float duration)
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{
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if ((time /= duration / 2) < 1.0f) {
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return change / 2 * time * time * time + begin;
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}
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time -= 2.0f;
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return change / 2 * (time * time * time + 2) + begin;
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}
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#ifdef USE_ELASTIC_BLEND
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/**
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* When the amplitude is less than the change, we need to blend
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* \a f when we're close to the crossing point (int time), else we get an ugly sharp falloff.
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*/
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static float elastic_blend(
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float time, float change, float duration, float amplitude, float s, float f)
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{
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if (change) {
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/* Looks like a magic number,
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* but this is a part of the sine curve we need to blend from */
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const float t = fabsf(s);
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if (amplitude) {
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f *= amplitude / fabsf(change);
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}
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else {
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f = 0.0f;
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}
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if (fabsf(time * duration) < t) {
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float l = fabsf(time * duration) / t;
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f = (f * l) + (1.0f - l);
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}
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}
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return f;
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}
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#endif
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float BLI_easing_elastic_ease_in(
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float time, float begin, float change, float duration, float amplitude, float period)
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{
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float s;
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float f = 1.0f;
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if (time == 0.0f) {
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return begin;
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}
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if ((time /= duration) == 1.0f) {
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return begin + change;
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}
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time -= 1.0f;
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if (!period) {
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period = duration * 0.3f;
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}
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if (!amplitude || amplitude < fabsf(change)) {
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s = period / 4;
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#ifdef USE_ELASTIC_BLEND
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f = elastic_blend(time, change, duration, amplitude, s, f);
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#endif
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amplitude = change;
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}
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else {
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s = period / (2 * (float)M_PI) * asinf(change / amplitude);
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}
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return (-f * (amplitude * powf(2, 10 * time) *
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sinf((time * duration - s) * (2 * (float)M_PI) / period))) +
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begin;
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}
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float BLI_easing_elastic_ease_out(
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float time, float begin, float change, float duration, float amplitude, float period)
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{
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float s;
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float f = 1.0f;
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if (time == 0.0f) {
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return begin;
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}
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if ((time /= duration) == 1.0f) {
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return begin + change;
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}
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time = -time;
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if (!period) {
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period = duration * 0.3f;
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}
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if (!amplitude || amplitude < fabsf(change)) {
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s = period / 4;
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#ifdef USE_ELASTIC_BLEND
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f = elastic_blend(time, change, duration, amplitude, s, f);
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#endif
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amplitude = change;
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}
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else {
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s = period / (2 * (float)M_PI) * asinf(change / amplitude);
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}
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return (f * (amplitude * powf(2, 10 * time) *
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sinf((time * duration - s) * (2 * (float)M_PI) / period))) +
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change + begin;
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}
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float BLI_easing_elastic_ease_in_out(
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float time, float begin, float change, float duration, float amplitude, float period)
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{
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float s;
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float f = 1.0f;
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if (time == 0.0f) {
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return begin;
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}
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if ((time /= duration / 2) == 2.0f) {
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return begin + change;
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}
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time -= 1.0f;
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if (!period) {
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period = duration * (0.3f * 1.5f);
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}
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if (!amplitude || amplitude < fabsf(change)) {
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s = period / 4;
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#ifdef USE_ELASTIC_BLEND
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f = elastic_blend(time, change, duration, amplitude, s, f);
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#endif
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amplitude = change;
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}
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else {
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s = period / (2 * (float)M_PI) * asinf(change / amplitude);
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}
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if (time < 0.0f) {
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f *= -0.5f;
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return (f * (amplitude * powf(2, 10 * time) *
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sinf((time * duration - s) * (2 * (float)M_PI) / period))) +
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begin;
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}
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time = -time;
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f *= 0.5f;
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return (f * (amplitude * powf(2, 10 * time) *
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sinf((time * duration - s) * (2 * (float)M_PI) / period))) +
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change + begin;
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}
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static const float pow_min = 0.0009765625f; /* = 2^(-10) */
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static const float pow_scale = 1.0f / (1.0f - 0.0009765625f);
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float BLI_easing_expo_ease_in(float time, float begin, float change, float duration)
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{
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if (time == 0.0) {
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return begin;
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}
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return change * (powf(2, 10 * (time / duration - 1)) - pow_min) * pow_scale + begin;
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}
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float BLI_easing_expo_ease_out(float time, float begin, float change, float duration)
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{
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if (time == 0.0) {
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return begin;
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}
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return change * (1 - (powf(2, -10 * time / duration) - pow_min) * pow_scale) + begin;
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}
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float BLI_easing_expo_ease_in_out(float time, float begin, float change, float duration)
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{
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float duration_half = duration / 2.0f;
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float change_half = change / 2.0f;
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if (time <= duration_half) {
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return BLI_easing_expo_ease_in(time, begin, change_half, duration_half);
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}
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return BLI_easing_expo_ease_out(
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time - duration_half, begin + change_half, change_half, duration_half);
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}
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float BLI_easing_linear_ease(float time, float begin, float change, float duration)
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{
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return change * time / duration + begin;
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}
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float BLI_easing_quad_ease_in(float time, float begin, float change, float duration)
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{
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time /= duration;
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return change * time * time + begin;
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}
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float BLI_easing_quad_ease_out(float time, float begin, float change, float duration)
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{
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time /= duration;
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return -change * time * (time - 2) + begin;
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}
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float BLI_easing_quad_ease_in_out(float time, float begin, float change, float duration)
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{
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if ((time /= duration / 2) < 1.0f) {
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return change / 2 * time * time + begin;
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}
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time -= 1.0f;
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return -change / 2 * (time * (time - 2) - 1) + begin;
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}
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float BLI_easing_quart_ease_in(float time, float begin, float change, float duration)
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{
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time /= duration;
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return change * time * time * time * time + begin;
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}
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float BLI_easing_quart_ease_out(float time, float begin, float change, float duration)
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{
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time = time / duration - 1;
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return -change * (time * time * time * time - 1) + begin;
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}
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float BLI_easing_quart_ease_in_out(float time, float begin, float change, float duration)
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{
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if ((time /= duration / 2) < 1.0f) {
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return change / 2 * time * time * time * time + begin;
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}
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time -= 2.0f;
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return -change / 2 * (time * time * time * time - 2) + begin;
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}
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float BLI_easing_quint_ease_in(float time, float begin, float change, float duration)
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{
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time /= duration;
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return change * time * time * time * time * time + begin;
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}
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float BLI_easing_quint_ease_out(float time, float begin, float change, float duration)
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{
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time = time / duration - 1;
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return change * (time * time * time * time * time + 1) + begin;
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}
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float BLI_easing_quint_ease_in_out(float time, float begin, float change, float duration)
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{
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if ((time /= duration / 2) < 1.0f) {
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return change / 2 * time * time * time * time * time + begin;
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}
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time -= 2.0f;
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return change / 2 * (time * time * time * time * time + 2) + begin;
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}
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float BLI_easing_sine_ease_in(float time, float begin, float change, float duration)
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{
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return -change * cosf(time / duration * (float)M_PI_2) + change + begin;
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}
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float BLI_easing_sine_ease_out(float time, float begin, float change, float duration)
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{
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return change * sinf(time / duration * (float)M_PI_2) + begin;
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}
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float BLI_easing_sine_ease_in_out(float time, float begin, float change, float duration)
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{
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return -change / 2 * (cosf((float)M_PI * time / duration) - 1) + begin;
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}
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