| """ | |
| Test the easing functions by sampling the range [0, 1] uniformly in 21 points. | |
| Then, a TypeScript script was used to sample all the original functions, | |
| the data was collected, and is here tested against the Python implementation. | |
| """ | |
| import pytest | |
| from textual._easing import EASING | |
| POINTS = [ | |
| 0.0, | |
| 0.05, | |
| 0.1, | |
| 0.15, | |
| 0.2, | |
| 0.25, | |
| 0.3, | |
| 0.35, | |
| 0.4, | |
| 0.45, | |
| 0.5, | |
| 0.55, | |
| 0.6, | |
| 0.65, | |
| 0.7, | |
| 0.75, | |
| 0.8, | |
| 0.85, | |
| 0.9, | |
| 0.95, | |
| 1.0, | |
| ] | |
| DATA = { | |
| "none": [1] * len(POINTS), | |
| "round": [0] * POINTS.index(0.5) + [1] * (len(POINTS) - POINTS.index(0.5)), | |
| "linear": POINTS[::], | |
| "in_sine": [ | |
| 0, | |
| 0.003082666266872036, | |
| 0.01231165940486223, | |
| 0.027630079602323443, | |
| 0.04894348370484647, | |
| 0.07612046748871326, | |
| 0.1089934758116321, | |
| 0.1473598356459077, | |
| 0.19098300562505255, | |
| 0.23959403439996907, | |
| 0.2928932188134524, | |
| 0.35055195166981645, | |
| 0.41221474770752686, | |
| 0.4775014352840511, | |
| 0.5460095002604531, | |
| 0.6173165676349102, | |
| 0.6909830056250525, | |
| 0.7665546361440945, | |
| 0.843565534959769, | |
| 0.921540904272155, | |
| 0.9999999999999999, | |
| ], | |
| "out_sine": [ | |
| 0, | |
| 0.07845909572784494, | |
| 0.15643446504023087, | |
| 0.2334453638559054, | |
| 0.3090169943749474, | |
| 0.3826834323650898, | |
| 0.45399049973954675, | |
| 0.5224985647159488, | |
| 0.5877852522924731, | |
| 0.6494480483301837, | |
| 0.7071067811865475, | |
| 0.760405965600031, | |
| 0.8090169943749475, | |
| 0.8526401643540922, | |
| 0.8910065241883678, | |
| 0.9238795325112867, | |
| 0.9510565162951535, | |
| 0.9723699203976766, | |
| 0.9876883405951378, | |
| 0.996917333733128, | |
| 1, | |
| ], | |
| "in_out_sine": [ | |
| 0, | |
| 0.006155829702431115, | |
| 0.024471741852423234, | |
| 0.05449673790581605, | |
| 0.09549150281252627, | |
| 0.1464466094067262, | |
| 0.20610737385376343, | |
| 0.27300475013022657, | |
| 0.3454915028125263, | |
| 0.4217827674798845, | |
| 0.49999999999999994, | |
| 0.5782172325201155, | |
| 0.6545084971874737, | |
| 0.7269952498697734, | |
| 0.7938926261462365, | |
| 0.8535533905932737, | |
| 0.9045084971874737, | |
| 0.9455032620941839, | |
| 0.9755282581475768, | |
| 0.9938441702975689, | |
| 1, | |
| ], | |
| "in_quad": [ | |
| 0, | |
| 0.0025000000000000005, | |
| 0.010000000000000002, | |
| 0.0225, | |
| 0.04000000000000001, | |
| 0.0625, | |
| 0.09, | |
| 0.12249999999999998, | |
| 0.16000000000000003, | |
| 0.2025, | |
| 0.25, | |
| 0.30250000000000005, | |
| 0.36, | |
| 0.42250000000000004, | |
| 0.48999999999999994, | |
| 0.5625, | |
| 0.6400000000000001, | |
| 0.7224999999999999, | |
| 0.81, | |
| 0.9025, | |
| 1, | |
| ], | |
| "out_quad": [ | |
| 0, | |
| 0.09750000000000003, | |
| 0.18999999999999995, | |
| 0.2775000000000001, | |
| 0.3599999999999999, | |
| 0.4375, | |
| 0.51, | |
| 0.5774999999999999, | |
| 0.64, | |
| 0.6975, | |
| 0.75, | |
| 0.7975000000000001, | |
| 0.84, | |
| 0.8775000000000001, | |
| 0.9099999999999999, | |
| 0.9375, | |
| 0.96, | |
| 0.9775, | |
| 0.99, | |
| 0.9974999999999999, | |
| 1, | |
| ], | |
| "in_out_quad": [ | |
| 0, | |
| 0.005000000000000001, | |
| 0.020000000000000004, | |
| 0.045, | |
| 0.08000000000000002, | |
| 0.125, | |
| 0.18, | |
| 0.24499999999999997, | |
| 0.32000000000000006, | |
| 0.405, | |
| 0.5, | |
| 0.5950000000000001, | |
| 0.6799999999999999, | |
| 0.755, | |
| 0.82, | |
| 0.875, | |
| 0.92, | |
| 0.955, | |
| 0.98, | |
| 0.995, | |
| 1, | |
| ], | |
| "in_cubic": [ | |
| 0, | |
| 0.00012500000000000003, | |
| 0.0010000000000000002, | |
| 0.003375, | |
| 0.008000000000000002, | |
| 0.015625, | |
| 0.027, | |
| 0.04287499999999999, | |
| 0.06400000000000002, | |
| 0.09112500000000001, | |
| 0.125, | |
| 0.16637500000000005, | |
| 0.216, | |
| 0.27462500000000006, | |
| 0.3429999999999999, | |
| 0.421875, | |
| 0.5120000000000001, | |
| 0.6141249999999999, | |
| 0.7290000000000001, | |
| 0.8573749999999999, | |
| 1, | |
| ], | |
| "out_cubic": [ | |
| 0, | |
| 0.1426250000000001, | |
| 0.2709999999999999, | |
| 0.3858750000000001, | |
| 0.4879999999999999, | |
| 0.578125, | |
| 0.657, | |
| 0.7253749999999999, | |
| 0.784, | |
| 0.833625, | |
| 0.875, | |
| 0.908875, | |
| 0.9359999999999999, | |
| 0.957125, | |
| 0.973, | |
| 0.984375, | |
| 0.992, | |
| 0.996625, | |
| 0.999, | |
| 0.999875, | |
| 1, | |
| ], | |
| "in_out_cubic": [ | |
| 0, | |
| 0.0005000000000000001, | |
| 0.004000000000000001, | |
| 0.0135, | |
| 0.03200000000000001, | |
| 0.0625, | |
| 0.108, | |
| 0.17149999999999996, | |
| 0.25600000000000006, | |
| 0.36450000000000005, | |
| 0.5, | |
| 0.6355000000000002, | |
| 0.744, | |
| 0.8285, | |
| 0.8919999999999999, | |
| 0.9375, | |
| 0.968, | |
| 0.9865, | |
| 0.996, | |
| 0.9994999999999999, | |
| 1, | |
| ], | |
| "in_quart": [ | |
| 0, | |
| 0.000006250000000000002, | |
| 0.00010000000000000003, | |
| 0.00050625, | |
| 0.0016000000000000005, | |
| 0.00390625, | |
| 0.0081, | |
| 0.015006249999999995, | |
| 0.025600000000000008, | |
| 0.04100625000000001, | |
| 0.0625, | |
| 0.09150625000000004, | |
| 0.1296, | |
| 0.17850625000000006, | |
| 0.24009999999999992, | |
| 0.31640625, | |
| 0.40960000000000013, | |
| 0.5220062499999999, | |
| 0.6561000000000001, | |
| 0.8145062499999999, | |
| 1, | |
| ], | |
| "out_quart": [ | |
| 0, | |
| 0.18549375, | |
| 0.3438999999999999, | |
| 0.4779937500000001, | |
| 0.5903999999999998, | |
| 0.68359375, | |
| 0.7599, | |
| 0.8214937499999999, | |
| 0.8704000000000001, | |
| 0.90849375, | |
| 0.9375, | |
| 0.95899375, | |
| 0.9743999999999999, | |
| 0.98499375, | |
| 0.9919, | |
| 0.99609375, | |
| 0.9984, | |
| 0.99949375, | |
| 0.9999, | |
| 0.99999375, | |
| 1, | |
| ], | |
| "in_out_quart": [ | |
| 0, | |
| 0.000050000000000000016, | |
| 0.0008000000000000003, | |
| 0.00405, | |
| 0.012800000000000004, | |
| 0.03125, | |
| 0.0648, | |
| 0.12004999999999996, | |
| 0.20480000000000007, | |
| 0.32805000000000006, | |
| 0.5, | |
| 0.6719500000000002, | |
| 0.7951999999999999, | |
| 0.87995, | |
| 0.9351999999999999, | |
| 0.96875, | |
| 0.9872, | |
| 0.99595, | |
| 0.9992, | |
| 0.99995, | |
| 1, | |
| ], | |
| "in_quint": [ | |
| 0, | |
| 3.1250000000000013e-7, | |
| 0.000010000000000000004, | |
| 0.0000759375, | |
| 0.00032000000000000013, | |
| 0.0009765625, | |
| 0.00243, | |
| 0.005252187499999998, | |
| 0.010240000000000004, | |
| 0.018452812500000006, | |
| 0.03125, | |
| 0.050328437500000024, | |
| 0.07776, | |
| 0.11602906250000004, | |
| 0.16806999999999994, | |
| 0.2373046875, | |
| 0.32768000000000014, | |
| 0.4437053124999999, | |
| 0.5904900000000002, | |
| 0.7737809374999999, | |
| 1, | |
| ], | |
| "out_quint": [ | |
| 0, | |
| 0.2262190625, | |
| 0.4095099999999998, | |
| 0.5562946875000001, | |
| 0.6723199999999998, | |
| 0.7626953125, | |
| 0.8319300000000001, | |
| 0.8839709375, | |
| 0.92224, | |
| 0.9496715625, | |
| 0.96875, | |
| 0.9815471875, | |
| 0.98976, | |
| 0.9947478125, | |
| 0.99757, | |
| 0.9990234375, | |
| 0.99968, | |
| 0.9999240625, | |
| 0.99999, | |
| 0.9999996875, | |
| 1, | |
| ], | |
| "in_out_quint": [ | |
| 0, | |
| 0.000005000000000000002, | |
| 0.00016000000000000007, | |
| 0.001215, | |
| 0.005120000000000002, | |
| 0.015625, | |
| 0.03888, | |
| 0.08403499999999997, | |
| 0.16384000000000007, | |
| 0.2952450000000001, | |
| 0.5, | |
| 0.7047550000000002, | |
| 0.8361599999999999, | |
| 0.915965, | |
| 0.96112, | |
| 0.984375, | |
| 0.99488, | |
| 0.998785, | |
| 0.99984, | |
| 0.999995, | |
| 1, | |
| ], | |
| "in_expo": [ | |
| 0, | |
| 0.0013810679320049757, | |
| 0.001953125, | |
| 0.0027621358640099515, | |
| 0.00390625, | |
| 0.005524271728019903, | |
| 0.0078125, | |
| 0.011048543456039806, | |
| 0.015625, | |
| 0.02209708691207961, | |
| 0.03125, | |
| 0.04419417382415922, | |
| 0.0625, | |
| 0.08838834764831845, | |
| 0.125, | |
| 0.1767766952966369, | |
| 0.25, | |
| 0.3535533905932738, | |
| 0.5, | |
| 0.7071067811865476, | |
| 1, | |
| ], | |
| "out_expo": [ | |
| 0, | |
| 0.2928932188134524, | |
| 0.5, | |
| 0.6464466094067263, | |
| 0.75, | |
| 0.8232233047033631, | |
| 0.875, | |
| 0.9116116523516815, | |
| 0.9375, | |
| 0.9558058261758408, | |
| 0.96875, | |
| 0.9779029130879204, | |
| 0.984375, | |
| 0.9889514565439602, | |
| 0.9921875, | |
| 0.99447572827198, | |
| 0.99609375, | |
| 0.99723786413599, | |
| 0.998046875, | |
| 0.998618932067995, | |
| 1, | |
| ], | |
| "in_out_expo": [ | |
| 0, | |
| 0.0009765625, | |
| 0.001953125, | |
| 0.00390625, | |
| 0.0078125, | |
| 0.015625, | |
| 0.03125, | |
| 0.0625, | |
| 0.125, | |
| 0.25, | |
| 0.5, | |
| 0.75, | |
| 0.875, | |
| 0.9375, | |
| 0.96875, | |
| 0.984375, | |
| 0.9921875, | |
| 0.99609375, | |
| 0.998046875, | |
| 0.9990234375, | |
| 1, | |
| ], | |
| "in_circ": [ | |
| 0, | |
| 0.0012507822280910519, | |
| 0.005012562893380035, | |
| 0.011314003335740508, | |
| 0.020204102886728803, | |
| 0.031754163448145745, | |
| 0.04606079858305434, | |
| 0.06325030024024025, | |
| 0.08348486100883201, | |
| 0.10697144502541245, | |
| 0.1339745962155614, | |
| 0.16483534557549673, | |
| 0.19999999999999996, | |
| 0.24006579232146685, | |
| 0.285857157145715, | |
| 0.3385621722338523, | |
| 0.40000000000000013, | |
| 0.473217312357363, | |
| 0.5641101056459328, | |
| 0.6877501000800801, | |
| 1, | |
| ], | |
| "out_circ": [ | |
| 0, | |
| 0.31224989991991997, | |
| 0.4358898943540673, | |
| 0.526782687642637, | |
| 0.5999999999999999, | |
| 0.6614378277661477, | |
| 0.714142842854285, | |
| 0.7599342076785331, | |
| 0.8, | |
| 0.8351646544245033, | |
| 0.8660254037844386, | |
| 0.8930285549745877, | |
| 0.916515138991168, | |
| 0.9367496997597597, | |
| 0.9539392014169457, | |
| 0.9682458365518543, | |
| 0.9797958971132712, | |
| 0.9886859966642595, | |
| 0.99498743710662, | |
| 0.998749217771909, | |
| 1, | |
| ], | |
| "in_out_circ": [ | |
| 0, | |
| 0.0025062814466900174, | |
| 0.010102051443364402, | |
| 0.02303039929152717, | |
| 0.041742430504416006, | |
| 0.0669872981077807, | |
| 0.09999999999999998, | |
| 0.1429285785728575, | |
| 0.20000000000000007, | |
| 0.2820550528229664, | |
| 0.5, | |
| 0.7179449471770338, | |
| 0.7999999999999999, | |
| 0.8570714214271424, | |
| 0.8999999999999999, | |
| 0.9330127018922193, | |
| 0.958257569495584, | |
| 0.9769696007084728, | |
| 0.9898979485566356, | |
| 0.9974937185533099, | |
| 1, | |
| ], | |
| "in_back": [ | |
| 0, | |
| -0.003916252500000001, | |
| -0.014314220000000004, | |
| -0.029167717499999996, | |
| -0.046450560000000016, | |
| -0.06413656250000001, | |
| -0.08019953999999999, | |
| -0.09261330750000002, | |
| -0.09935168000000005, | |
| -0.09838847249999999, | |
| -0.08769750000000004, | |
| -0.06525257750000002, | |
| -0.029027519999999973, | |
| 0.023003857500000002, | |
| 0.09286773999999975, | |
| 0.18259031249999969, | |
| 0.29419775999999986, | |
| 0.4297162674999999, | |
| 0.5911720200000001, | |
| 0.7805912024999997, | |
| 0.9999999999999998, | |
| ], | |
| "out_back": [ | |
| 2.220446049250313e-16, | |
| 0.21940879750000053, | |
| 0.40882797999999987, | |
| 0.5702837325000001, | |
| 0.7058022400000001, | |
| 0.8174096875000002, | |
| 0.9071322600000001, | |
| 0.9769961425, | |
| 1.02902752, | |
| 1.0652525775, | |
| 1.0876975, | |
| 1.0983884725, | |
| 1.09935168, | |
| 1.0926133075, | |
| 1.08019954, | |
| 1.0641365625, | |
| 1.04645056, | |
| 1.0291677175, | |
| 1.01431422, | |
| 1.0039162525, | |
| 1, | |
| ], | |
| "in_out_back": [ | |
| -0, | |
| -0.011177092750000001, | |
| -0.037518552000000004, | |
| -0.06823964924999999, | |
| -0.092555656, | |
| -0.09968184375, | |
| -0.07883348399999998, | |
| -0.019225848250000063, | |
| 0.0899257920000001, | |
| 0.25940616525, | |
| 0.5, | |
| 0.7405938347500003, | |
| 0.9100742079999999, | |
| 1.01922584825, | |
| 1.078833484, | |
| 1.09968184375, | |
| 1.092555656, | |
| 1.06823964925, | |
| 1.0375185519999999, | |
| 1.0111770927500001, | |
| 1, | |
| ], | |
| "in_elastic": [ | |
| 0, | |
| 0.0006905339660024924, | |
| 0.001953125, | |
| 0.0013810679320049725, | |
| -0.0019531250000000126, | |
| -0.005524271728019903, | |
| -0.0039062499999999918, | |
| 0.00552427172801992, | |
| 0.015625, | |
| 0.011048543456039785, | |
| -0.015625000000000045, | |
| -0.04419417382415922, | |
| -0.031249999999999948, | |
| 0.04419417382415934, | |
| 0.125, | |
| 0.08838834764831832, | |
| -0.1250000000000001, | |
| -0.3535533905932738, | |
| -0.24999999999999986, | |
| 0.353553390593274, | |
| 1, | |
| ], | |
| "out_elastic": [ | |
| 0, | |
| 0.6464466094067263, | |
| 1.25, | |
| 1.3535533905932737, | |
| 1.125, | |
| 0.9116116523516816, | |
| 0.875, | |
| 0.9558058261758408, | |
| 1.03125, | |
| 1.0441941738241591, | |
| 1.015625, | |
| 0.9889514565439602, | |
| 0.984375, | |
| 0.99447572827198, | |
| 1.00390625, | |
| 1.00552427172802, | |
| 1.001953125, | |
| 0.998618932067995, | |
| 0.998046875, | |
| 0.9993094660339975, | |
| 1, | |
| ], | |
| "in_out_elastic": [ | |
| 0, | |
| 0.0009765625, | |
| 0.000339156597005722, | |
| -0.0036706742999449557, | |
| -0.0039062499999999935, | |
| 0.011969444423734044, | |
| 0.023938888847468056, | |
| -0.03125000000000003, | |
| -0.11746157759823853, | |
| 0.04341204441673268, | |
| 0.5, | |
| 0.9565879555832674, | |
| 1.1174615775982386, | |
| 1.03125, | |
| 0.9760611111525319, | |
| 0.988030555576266, | |
| 1.00390625, | |
| 1.003670674299945, | |
| 0.9996608434029943, | |
| 0.9990234375, | |
| 1, | |
| ], | |
| "in_bounce": [ | |
| 0, | |
| 0.015468750000000031, | |
| 0.01187500000000008, | |
| 0.05484375000000008, | |
| 0.06000000000000005, | |
| 0.02734375, | |
| 0.06937499999999996, | |
| 0.1673437499999999, | |
| 0.22750000000000004, | |
| 0.24984375000000003, | |
| 0.234375, | |
| 0.18109375000000005, | |
| 0.09000000000000019, | |
| 0.07359375000000024, | |
| 0.31937499999999985, | |
| 0.52734375, | |
| 0.6975000000000001, | |
| 0.82984375, | |
| 0.9243750000000001, | |
| 0.98109375, | |
| 1, | |
| ], | |
| "out_bounce": [ | |
| 0, | |
| 0.018906250000000003, | |
| 0.07562500000000001, | |
| 0.17015624999999998, | |
| 0.30250000000000005, | |
| 0.47265625, | |
| 0.6806249999999999, | |
| 0.9264062499999998, | |
| 0.9099999999999998, | |
| 0.81890625, | |
| 0.765625, | |
| 0.75015625, | |
| 0.7725, | |
| 0.8326562500000001, | |
| 0.930625, | |
| 0.97265625, | |
| 0.94, | |
| 0.9451562499999999, | |
| 0.9881249999999999, | |
| 0.98453125, | |
| 1, | |
| ], | |
| "in_out_bounce": [ | |
| 0, | |
| 0.00593750000000004, | |
| 0.030000000000000027, | |
| 0.03468749999999998, | |
| 0.11375000000000002, | |
| 0.1171875, | |
| 0.045000000000000095, | |
| 0.15968749999999993, | |
| 0.34875000000000006, | |
| 0.46218750000000003, | |
| 0.5, | |
| 0.5378125, | |
| 0.6512499999999999, | |
| 0.8403125, | |
| 0.9550000000000001, | |
| 0.8828125, | |
| 0.88625, | |
| 0.9653125, | |
| 0.97, | |
| 0.9940624999999998, | |
| 1, | |
| ], | |
| } | |
| def test_coverage(): | |
| assert set(DATA.keys()) == set(EASING.keys()) | |
| def test_easings(): | |
| for name, values in DATA.items(): | |
| func = EASING[name] | |
| for point, value in zip(POINTS, values): | |
| assert value == pytest.approx(func(point)) | |