Robert Penner's Easing Functions
A collection of swappable functions that add flavor to motion.
Visualize
Learn
- Tweening chapter of my book
- Ease Yourself Into Animation (great preso)
- Understanding Easing: Explaining Penner's Equations
- Interpolation Tricks
Code
- JavaScript
- jQuery Easing Plugin
- CSS, SCSS, LESS (用手托动控制点形成曲线)
- ActionScript 3.0 (single class)
- ActionScript 3.0 (classes)
- CoffeeScript
- Java
- Lua
- C#
- C++
- C
- ActionScript 2.0
- ActionScript 1.0
Fork
/* * jQuery Easing v1.3 - http://gsgd.co.uk/sandbox/jquery/easing/ * * Uses the built in easing capabilities added In jQuery 1.1 * to offer multiple easing options * * TERMS OF USE - jQuery Easing * * Open source under the BSD License. * * Copyright 漏 2008 George McGinley Smith * All rights reserved. * * Redistribution and use in source and binary forms, with or without modification, * are permitted provided that the following conditions are met: * * Redistributions of source code must retain the above copyright notice, this list of * conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list * of conditions and the following disclaimer in the documentation and/or other materials * provided with the distribution. * * Neither the name of the author nor the names of contributors may be used to endorse * or promote products derived from this software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE * GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED * OF THE POSSIBILITY OF SUCH DAMAGE. * */ // t: current time, b: begInnIng value, c: change In value, d: duration jQuery.easing['jswing'] = jQuery.easing['swing']; jQuery.extend( jQuery.easing, { def: 'easeOutQuad', swing: function (x, t, b, c, d) { //alert(jQuery.easing.default); return jQuery.easing[jQuery.easing.def](x, t, b, c, d); }, easeInQuad: function (x, t, b, c, d) { return c*(t/=d)*t + b; }, easeOutQuad: function (x, t, b, c, d) { return -c *(t/=d)*(t-2) + b; }, easeInOutQuad: function (x, t, b, c, d) { if ((t/=d/2) < 1) return c/2*t*t + b; return -c/2 * ((--t)*(t-2) - 1) + b; }, easeInCubic: function (x, t, b, c, d) { return c*(t/=d)*t*t + b; }, easeOutCubic: function (x, t, b, c, d) { return c*((t=t/d-1)*t*t + 1) + b; }, easeInOutCubic: function (x, t, b, c, d) { if ((t/=d/2) < 1) return c/2*t*t*t + b; return c/2*((t-=2)*t*t + 2) + b; }, easeInQuart: function (x, t, b, c, d) { return c*(t/=d)*t*t*t + b; }, easeOutQuart: function (x, t, b, c, d) { return -c * ((t=t/d-1)*t*t*t - 1) + b; }, easeInOutQuart: function (x, t, b, c, d) { if ((t/=d/2) < 1) return c/2*t*t*t*t + b; return -c/2 * ((t-=2)*t*t*t - 2) + b; }, easeInQuint: function (x, t, b, c, d) { return c*(t/=d)*t*t*t*t + b; }, easeOutQuint: function (x, t, b, c, d) { return c*((t=t/d-1)*t*t*t*t + 1) + b; }, easeInOutQuint: function (x, t, b, c, d) { if ((t/=d/2) < 1) return c/2*t*t*t*t*t + b; return c/2*((t-=2)*t*t*t*t + 2) + b; }, easeInSine: function (x, t, b, c, d) { return -c * Math.cos(t/d * (Math.PI/2)) + c + b; }, easeOutSine: function (x, t, b, c, d) { return c * Math.sin(t/d * (Math.PI/2)) + b; }, easeInOutSine: function (x, t, b, c, d) { return -c/2 * (Math.cos(Math.PI*t/d) - 1) + b; }, easeInExpo: function (x, t, b, c, d) { return (t==0) ? b : c * Math.pow(2, 10 * (t/d - 1)) + b; }, easeOutExpo: function (x, t, b, c, d) { return (t==d) ? b+c : c * (-Math.pow(2, -10 * t/d) + 1) + b; }, easeInOutExpo: function (x, t, b, c, d) { if (t==0) return b; if (t==d) return b+c; if ((t/=d/2) < 1) return c/2 * Math.pow(2, 10 * (t - 1)) + b; return c/2 * (-Math.pow(2, -10 * --t) + 2) + b; }, easeInCirc: function (x, t, b, c, d) { return -c * (Math.sqrt(1 - (t/=d)*t) - 1) + b; }, easeOutCirc: function (x, t, b, c, d) { return c * Math.sqrt(1 - (t=t/d-1)*t) + b; }, easeInOutCirc: function (x, t, b, c, d) { if ((t/=d/2) < 1) return -c/2 * (Math.sqrt(1 - t*t) - 1) + b; return c/2 * (Math.sqrt(1 - (t-=2)*t) + 1) + b; }, easeInElastic: function (x, t, b, c, d) { var s=1.70158;var p=0;var a=c; if (t==0) return b; if ((t/=d)==1) return b+c; if (!p) p=d*.3; if (a < Math.abs(c)) { a=c; var s=p/4; } else var s = p/(2*Math.PI) * Math.asin (c/a); return -(a*Math.pow(2,10*(t-=1)) * Math.sin( (t*d-s)*(2*Math.PI)/p )) + b; }, easeOutElastic: function (x, t, b, c, d) { var s=1.70158;var p=0;var a=c; if (t==0) return b; if ((t/=d)==1) return b+c; if (!p) p=d*.3; if (a < Math.abs(c)) { a=c; var s=p/4; } else var s = p/(2*Math.PI) * Math.asin (c/a); return a*Math.pow(2,-10*t) * Math.sin( (t*d-s)*(2*Math.PI)/p ) + c + b; }, easeInOutElastic: function (x, t, b, c, d) { var s=1.70158;var p=0;var a=c; if (t==0) return b; if ((t/=d/2)==2) return b+c; if (!p) p=d*(.3*1.5); if (a < Math.abs(c)) { a=c; var s=p/4; } else var s = p/(2*Math.PI) * Math.asin (c/a); if (t < 1) return -.5*(a*Math.pow(2,10*(t-=1)) * Math.sin( (t*d-s)*(2*Math.PI)/p )) + b; return a*Math.pow(2,-10*(t-=1)) * Math.sin( (t*d-s)*(2*Math.PI)/p )*.5 + c + b; }, easeInBack: function (x, t, b, c, d, s) { if (s == undefined) s = 1.70158; return c*(t/=d)*t*((s+1)*t - s) + b; }, easeOutBack: function (x, t, b, c, d, s) { if (s == undefined) s = 1.70158; return c*((t=t/d-1)*t*((s+1)*t + s) + 1) + b; }, easeInOutBack: function (x, t, b, c, d, s) { if (s == undefined) s = 1.70158; if ((t/=d/2) < 1) return c/2*(t*t*(((s*=(1.525))+1)*t - s)) + b; return c/2*((t-=2)*t*(((s*=(1.525))+1)*t + s) + 2) + b; }, easeInBounce: function (x, t, b, c, d) { return c - jQuery.easing.easeOutBounce (x, d-t, 0, c, d) + b; }, easeOutBounce: function (x, t, b, c, d) { if ((t/=d) < (1/2.75)) { return c*(7.5625*t*t) + b; } else if (t < (2/2.75)) { return c*(7.5625*(t-=(1.5/2.75))*t + .75) + b; } else if (t < (2.5/2.75)) { return c*(7.5625*(t-=(2.25/2.75))*t + .9375) + b; } else { return c*(7.5625*(t-=(2.625/2.75))*t + .984375) + b; } }, easeInOutBounce: function (x, t, b, c, d) { if (t < d/2) return jQuery.easing.easeInBounce (x, t*2, 0, c, d) * .5 + b; return jQuery.easing.easeOutBounce (x, t*2-d, 0, c, d) * .5 + c*.5 + b; } }); /* * * TERMS OF USE - EASING EQUATIONS * * Open source under the BSD License. * * Copyright 漏 2001 Robert Penner * All rights reserved. * * Redistribution and use in source and binary forms, with or without modification, * are permitted provided that the following conditions are met: * * Redistributions of source code must retain the above copyright notice, this list of * conditions and the following disclaimer. * Redistributions in binary form must reproduce the above copyright notice, this list * of conditions and the following disclaimer in the documentation and/or other materials * provided with the distribution. * * Neither the name of the author nor the names of contributors may be used to endorse * or promote products derived from this software without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE * GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED * OF THE POSSIBILITY OF SUCH DAMAGE. * */
// // Easing mixins // // created with Ceaser : http://matthewlein.com/ceaser/ // -------------------------------------------------- #ease { @durationDefault: 1000ms; .linear(@duration: @durationDefault) { -webkit-transition: all @duration linear; -moz-transition: all @duration linear; -ms-transition: all @duration linear; -o-transition: all @duration linear; transition: all @duration linear; } .ease(@duration: @durationDefault) { -webkit-transition: all @duration ease; -moz-transition: all @duration ease; -ms-transition: all @duration ease; -o-transition: all @duration ease; transition: all @duration ease; } .ease-in(@duration: @durationDefault) { -webkit-transition: all @duration ease-in; -moz-transition: all @duration ease-in; -ms-transition: all @duration ease-in; -o-transition: all @duration ease-in; transition: all @duration ease-in; } .ease-out(@duration: @durationDefault) { -webkit-transition: all @duration ease-out; -moz-transition: all @duration ease-out; -ms-transition: all @duration ease-out; -o-transition: all @duration ease-out; transition: all @duration ease-out; } .ease-in-out(@duration: @durationDefault) { -webkit-transition: all @duration ease-in-out; -moz-transition: all @duration ease-in-out; -ms-transition: all @duration ease-in-out; -o-transition: all @duration ease-in-out; transition: all @duration ease-in-out; } .easeInQuad(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.550, 0.085, 0.680, 0.530); -moz-transition: all @duration cubic-bezier(0.550, 0.085, 0.680, 0.530); -ms-transition: all @duration cubic-bezier(0.550, 0.085, 0.680, 0.530); -o-transition: all @duration cubic-bezier(0.550, 0.085, 0.680, 0.530); transition: all @duration cubic-bezier(0.550, 0.085, 0.680, 0.530); } .easeInCubic(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.550, 0.055, 0.675, 0.190); -moz-transition: all @duration cubic-bezier(0.550, 0.055, 0.675, 0.190); -ms-transition: all @duration cubic-bezier(0.550, 0.055, 0.675, 0.190); -o-transition: all @duration cubic-bezier(0.550, 0.055, 0.675, 0.190); transition: all @duration cubic-bezier(0.550, 0.055, 0.675, 0.190); } .easeInQuart(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.895, 0.030, 0.685, 0.220); -moz-transition: all @duration cubic-bezier(0.895, 0.030, 0.685, 0.220); -ms-transition: all @duration cubic-bezier(0.895, 0.030, 0.685, 0.220); -o-transition: all @duration cubic-bezier(0.895, 0.030, 0.685, 0.220); transition: all @duration cubic-bezier(0.895, 0.030, 0.685, 0.220); } .easeInQuint(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.755, 0.050, 0.855, 0.060); -moz-transition: all @duration cubic-bezier(0.755, 0.050, 0.855, 0.060); -ms-transition: all @duration cubic-bezier(0.755, 0.050, 0.855, 0.060); -o-transition: all @duration cubic-bezier(0.755, 0.050, 0.855, 0.060); transition: all @duration cubic-bezier(0.755, 0.050, 0.855, 0.060); } .easeInSine(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.470, 0.000, 0.745, 0.715); -moz-transition: all @duration cubic-bezier(0.470, 0.000, 0.745, 0.715); -ms-transition: all @duration cubic-bezier(0.470, 0.000, 0.745, 0.715); -o-transition: all @duration cubic-bezier(0.470, 0.000, 0.745, 0.715); transition: all @duration cubic-bezier(0.470, 0.000, 0.745, 0.715); } .easeInExpo(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.950, 0.050, 0.795, 0.035); -moz-transition: all @duration cubic-bezier(0.950, 0.050, 0.795, 0.035); -ms-transition: all @duration cubic-bezier(0.950, 0.050, 0.795, 0.035); -o-transition: all @duration cubic-bezier(0.950, 0.050, 0.795, 0.035); transition: all @duration cubic-bezier(0.950, 0.050, 0.795, 0.035); } .easeInCirc(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.600, 0.040, 0.980, 0.335); -moz-transition: all @duration cubic-bezier(0.600, 0.040, 0.980, 0.335); -ms-transition: all @duration cubic-bezier(0.600, 0.040, 0.980, 0.335); -o-transition: all @duration cubic-bezier(0.600, 0.040, 0.980, 0.335); transition: all @duration cubic-bezier(0.600, 0.040, 0.980, 0.335); } .easeInBack(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.600, 0, 0.735, 0.045); // older webkit -webkit-transition: all @duration cubic-bezier(0.600, -0.280, 0.735, 0.045); -moz-transition: all @duration cubic-bezier(0.600, -0.280, 0.735, 0.045); -ms-transition: all @duration cubic-bezier(0.600, -0.280, 0.735, 0.045); -o-transition: all @duration cubic-bezier(0.600, -0.280, 0.735, 0.045); transition: all @duration cubic-bezier(0.600, -0.280, 0.735, 0.045); } .easeOutQuad(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.250, 0.460, 0.450, 0.940); -moz-transition: all @duration cubic-bezier(0.250, 0.460, 0.450, 0.940); -ms-transition: all @duration cubic-bezier(0.250, 0.460, 0.450, 0.940); -o-transition: all @duration cubic-bezier(0.250, 0.460, 0.450, 0.940); transition: all @duration cubic-bezier(0.250, 0.460, 0.450, 0.940); } .easeOutCubic(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.215, 0.610, 0.355, 1.000); -moz-transition: all @duration cubic-bezier(0.215, 0.610, 0.355, 1.000); -ms-transition: all @duration cubic-bezier(0.215, 0.610, 0.355, 1.000); -o-transition: all @duration cubic-bezier(0.215, 0.610, 0.355, 1.000); transition: all @duration cubic-bezier(0.215, 0.610, 0.355, 1.000); } .easeOutQuart(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.165, 0.840, 0.440, 1.000); -moz-transition: all @duration cubic-bezier(0.165, 0.840, 0.440, 1.000); -ms-transition: all @duration cubic-bezier(0.165, 0.840, 0.440, 1.000); -o-transition: all @duration cubic-bezier(0.165, 0.840, 0.440, 1.000); transition: all @duration cubic-bezier(0.165, 0.840, 0.440, 1.000); } .easeOutQuint(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.230, 1.000, 0.320, 1.000); -moz-transition: all @duration cubic-bezier(0.230, 1.000, 0.320, 1.000); -ms-transition: all @duration cubic-bezier(0.230, 1.000, 0.320, 1.000); -o-transition: all @duration cubic-bezier(0.230, 1.000, 0.320, 1.000); transition: all @duration cubic-bezier(0.230, 1.000, 0.320, 1.000); } .easeOutSine(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.390, 0.575, 0.565, 1.000); -moz-transition: all @duration cubic-bezier(0.390, 0.575, 0.565, 1.000); -ms-transition: all @duration cubic-bezier(0.390, 0.575, 0.565, 1.000); -o-transition: all @duration cubic-bezier(0.390, 0.575, 0.565, 1.000); transition: all @duration cubic-bezier(0.390, 0.575, 0.565, 1.000); } .easeOutExpo(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.190, 1.000, 0.220, 1.000); -moz-transition: all @duration cubic-bezier(0.190, 1.000, 0.220, 1.000); -ms-transition: all @duration cubic-bezier(0.190, 1.000, 0.220, 1.000); -o-transition: all @duration cubic-bezier(0.190, 1.000, 0.220, 1.000); transition: all @duration cubic-bezier(0.190, 1.000, 0.220, 1.000); } .easeOutCirc(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.075, 0.820, 0.165, 1.000); -moz-transition: all @duration cubic-bezier(0.075, 0.820, 0.165, 1.000); -ms-transition: all @duration cubic-bezier(0.075, 0.820, 0.165, 1.000); -o-transition: all @duration cubic-bezier(0.075, 0.820, 0.165, 1.000); transition: all @duration cubic-bezier(0.075, 0.820, 0.165, 1.000); } .easeOutBack(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.175, 0.885, 0.320, 1); // older webkit -webkit-transition: all @duration cubic-bezier(0.175, 0.885, 0.320, 1.275); -moz-transition: all @duration cubic-bezier(0.175, 0.885, 0.320, 1.275); -ms-transition: all @duration cubic-bezier(0.175, 0.885, 0.320, 1.275); -o-transition: all @duration cubic-bezier(0.175, 0.885, 0.320, 1.275); transition: all @duration cubic-bezier(0.175, 0.885, 0.320, 1.275); } .easeInOutQuad(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.455, 0.030, 0.515, 0.955); -moz-transition: all @duration cubic-bezier(0.455, 0.030, 0.515, 0.955); -ms-transition: all @duration cubic-bezier(0.455, 0.030, 0.515, 0.955); -o-transition: all @duration cubic-bezier(0.455, 0.030, 0.515, 0.955); transition: all @duration cubic-bezier(0.455, 0.030, 0.515, 0.955); } .easeInOutCubic(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.645, 0.045, 0.355, 1.000); -moz-transition: all @duration cubic-bezier(0.645, 0.045, 0.355, 1.000); -ms-transition: all @duration cubic-bezier(0.645, 0.045, 0.355, 1.000); -o-transition: all @duration cubic-bezier(0.645, 0.045, 0.355, 1.000); transition: all @duration cubic-bezier(0.645, 0.045, 0.355, 1.000); } .easeInOutQuart(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.770, 0.000, 0.175, 1.000); -moz-transition: all @duration cubic-bezier(0.770, 0.000, 0.175, 1.000); -ms-transition: all @duration cubic-bezier(0.770, 0.000, 0.175, 1.000); -o-transition: all @duration cubic-bezier(0.770, 0.000, 0.175, 1.000); transition: all @duration cubic-bezier(0.770, 0.000, 0.175, 1.000); } .easeInOutQuint(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.860, 0.000, 0.070, 1.000); -moz-transition: all @duration cubic-bezier(0.860, 0.000, 0.070, 1.000); -ms-transition: all @duration cubic-bezier(0.860, 0.000, 0.070, 1.000); -o-transition: all @duration cubic-bezier(0.860, 0.000, 0.070, 1.000); transition: all @duration cubic-bezier(0.860, 0.000, 0.070, 1.000); } .easeInOutSine(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.445, 0.050, 0.550, 0.950); -moz-transition: all @duration cubic-bezier(0.445, 0.050, 0.550, 0.950); -ms-transition: all @duration cubic-bezier(0.445, 0.050, 0.550, 0.950); -o-transition: all @duration cubic-bezier(0.445, 0.050, 0.550, 0.950); transition: all @duration cubic-bezier(0.445, 0.050, 0.550, 0.950); } .easeInOutExpo(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(1.000, 0.000, 0.000, 1.000); -moz-transition: all @duration cubic-bezier(1.000, 0.000, 0.000, 1.000); -ms-transition: all @duration cubic-bezier(1.000, 0.000, 0.000, 1.000); -o-transition: all @duration cubic-bezier(1.000, 0.000, 0.000, 1.000); transition: all @duration cubic-bezier(1.000, 0.000, 0.000, 1.000); } .easeInOutCirc(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.785, 0.135, 0.150, 0.860); -moz-transition: all @duration cubic-bezier(0.785, 0.135, 0.150, 0.860); -ms-transition: all @duration cubic-bezier(0.785, 0.135, 0.150, 0.860); -o-transition: all @duration cubic-bezier(0.785, 0.135, 0.150, 0.860); transition: all @duration cubic-bezier(0.785, 0.135, 0.150, 0.860); } .easeInOutBack(@duration: @durationDefault) { -webkit-transition: all @duration cubic-bezier(0.680, 0, 0.265, 1); // older webkit -webkit-transition: all @duration cubic-bezier(0.680, -0.550, 0.265, 1.550); -moz-transition: all @duration cubic-bezier(0.680, -0.550, 0.265, 1.550); -ms-transition: all @duration cubic-bezier(0.680, -0.550, 0.265, 1.550); -o-transition: all @duration cubic-bezier(0.680, -0.550, 0.265, 1.550); transition: all @duration cubic-bezier(0.680, -0.550, 0.265, 1.550); } }