├── LICENSE ├── README.md ├── demo.py ├── ease.py ├── ease2.py ├── tests ├── test_ease.py └── test_ease2.py └── tween.py /LICENSE: -------------------------------------------------------------------------------- 1 | GNU GENERAL PUBLIC LICENSE 2 | Version 3, 29 June 2007 3 | 4 | Copyright (C) 2007 Free Software Foundation, Inc. 5 | Everyone is permitted to copy and distribute verbatim copies 6 | of this license document, but changing it is not allowed. 7 | 8 | Preamble 9 | 10 | The GNU General Public License is a free, copyleft license for 11 | software and other kinds of works. 12 | 13 | The licenses for most software and other practical works are designed 14 | to take away your freedom to share and change the works. By contrast, 15 | the GNU General Public License is intended to guarantee your freedom to 16 | share and change all versions of a program--to make sure it remains free 17 | software for all its users. We, the Free Software Foundation, use the 18 | GNU General Public License for most of our software; it applies also to 19 | any other work released this way by its authors. You can apply it to 20 | your programs, too. 21 | 22 | When we speak of free software, we are referring to freedom, not 23 | price. Our General Public Licenses are designed to make sure that you 24 | have the freedom to distribute copies of free software (and charge for 25 | them if you wish), that you receive source code or can get it if you 26 | want it, that you can change the software or use pieces of it in new 27 | free programs, and that you know you can do these things. 28 | 29 | To protect your rights, we need to prevent others from denying you 30 | these rights or asking you to surrender the rights. Therefore, you have 31 | certain responsibilities if you distribute copies of the software, or if 32 | you modify it: responsibilities to respect the freedom of others. 33 | 34 | For example, if you distribute copies of such a program, whether 35 | gratis or for a fee, you must pass on to the recipients the same 36 | freedoms that you received. You must make sure that they, too, receive 37 | or can get the source code. And you must show them these terms so they 38 | know their rights. 39 | 40 | Developers that use the GNU GPL protect your rights with two steps: 41 | (1) assert copyright on the software, and (2) offer you this License 42 | giving you legal permission to copy, distribute and/or modify it. 43 | 44 | For the developers' and authors' protection, the GPL clearly explains 45 | that there is no warranty for this free software. For both users' and 46 | authors' sake, the GPL requires that modified versions be marked as 47 | changed, so that their problems will not be attributed erroneously to 48 | authors of previous versions. 49 | 50 | Some devices are designed to deny users access to install or run 51 | modified versions of the software inside them, although the manufacturer 52 | can do so. This is fundamentally incompatible with the aim of 53 | protecting users' freedom to change the software. The systematic 54 | pattern of such abuse occurs in the area of products for individuals to 55 | use, which is precisely where it is most unacceptable. Therefore, we 56 | have designed this version of the GPL to prohibit the practice for those 57 | products. If such problems arise substantially in other domains, we 58 | stand ready to extend this provision to those domains in future versions 59 | of the GPL, as needed to protect the freedom of users. 60 | 61 | Finally, every program is threatened constantly by software patents. 62 | States should not allow patents to restrict development and use of 63 | software on general-purpose computers, but in those that do, we wish to 64 | avoid the special danger that patents applied to a free program could 65 | make it effectively proprietary. To prevent this, the GPL assures that 66 | patents cannot be used to render the program non-free. 67 | 68 | The precise terms and conditions for copying, distribution and 69 | modification follow. 70 | 71 | TERMS AND CONDITIONS 72 | 73 | 0. Definitions. 74 | 75 | "This License" refers to version 3 of the GNU General Public License. 76 | 77 | "Copyright" also means copyright-like laws that apply to other kinds of 78 | works, such as semiconductor masks. 79 | 80 | "The Program" refers to any copyrightable work licensed under this 81 | License. Each licensee is addressed as "you". "Licensees" and 82 | "recipients" may be individuals or organizations. 83 | 84 | To "modify" a work means to copy from or adapt all or part of the work 85 | in a fashion requiring copyright permission, other than the making of an 86 | exact copy. The resulting work is called a "modified version" of the 87 | earlier work or a work "based on" the earlier work. 88 | 89 | A "covered work" means either the unmodified Program or a work based 90 | on the Program. 91 | 92 | To "propagate" a work means to do anything with it that, without 93 | permission, would make you directly or secondarily liable for 94 | infringement under applicable copyright law, except executing it on a 95 | computer or modifying a private copy. Propagation includes copying, 96 | distribution (with or without modification), making available to the 97 | public, and in some countries other activities as well. 98 | 99 | To "convey" a work means any kind of propagation that enables other 100 | parties to make or receive copies. Mere interaction with a user through 101 | a computer network, with no transfer of a copy, is not conveying. 102 | 103 | An interactive user interface displays "Appropriate Legal Notices" 104 | to the extent that it includes a convenient and prominently visible 105 | feature that (1) displays an appropriate copyright notice, and (2) 106 | tells the user that there is no warranty for the work (except to the 107 | extent that warranties are provided), that licensees may convey the 108 | work under this License, and how to view a copy of this License. If 109 | the interface presents a list of user commands or options, such as a 110 | menu, a prominent item in the list meets this criterion. 111 | 112 | 1. Source Code. 113 | 114 | The "source code" for a work means the preferred form of the work 115 | for making modifications to it. "Object code" means any non-source 116 | form of a work. 117 | 118 | A "Standard Interface" means an interface that either is an official 119 | standard defined by a recognized standards body, or, in the case of 120 | interfaces specified for a particular programming language, one that 121 | is widely used among developers working in that language. 122 | 123 | The "System Libraries" of an executable work include anything, other 124 | than the work as a whole, that (a) is included in the normal form of 125 | packaging a Major Component, but which is not part of that Major 126 | Component, and (b) serves only to enable use of the work with that 127 | Major Component, or to implement a Standard Interface for which an 128 | implementation is available to the public in source code form. A 129 | "Major Component", in this context, means a major essential component 130 | (kernel, window system, and so on) of the specific operating system 131 | (if any) on which the executable work runs, or a compiler used to 132 | produce the work, or an object code interpreter used to run it. 133 | 134 | The "Corresponding Source" for a work in object code form means all 135 | the source code needed to generate, install, and (for an executable 136 | work) run the object code and to modify the work, including scripts to 137 | control those activities. However, it does not include the work's 138 | System Libraries, or general-purpose tools or generally available free 139 | programs which are used unmodified in performing those activities but 140 | which are not part of the work. For example, Corresponding Source 141 | includes interface definition files associated with source files for 142 | the work, and the source code for shared libraries and dynamically 143 | linked subprograms that the work is specifically designed to require, 144 | such as by intimate data communication or control flow between those 145 | subprograms and other parts of the work. 146 | 147 | The Corresponding Source need not include anything that users 148 | can regenerate automatically from other parts of the Corresponding 149 | Source. 150 | 151 | The Corresponding Source for a work in source code form is that 152 | same work. 153 | 154 | 2. Basic Permissions. 155 | 156 | All rights granted under this License are granted for the term of 157 | copyright on the Program, and are irrevocable provided the stated 158 | conditions are met. This License explicitly affirms your unlimited 159 | permission to run the unmodified Program. The output from running a 160 | covered work is covered by this License only if the output, given its 161 | content, constitutes a covered work. This License acknowledges your 162 | rights of fair use or other equivalent, as provided by copyright law. 163 | 164 | You may make, run and propagate covered works that you do not 165 | convey, without conditions so long as your license otherwise remains 166 | in force. You may convey covered works to others for the sole purpose 167 | of having them make modifications exclusively for you, or provide you 168 | with facilities for running those works, provided that you comply with 169 | the terms of this License in conveying all material for which you do 170 | not control copyright. Those thus making or running the covered works 171 | for you must do so exclusively on your behalf, under your direction 172 | and control, on terms that prohibit them from making any copies of 173 | your copyrighted material outside their relationship with you. 174 | 175 | Conveying under any other circumstances is permitted solely under 176 | the conditions stated below. Sublicensing is not allowed; section 10 177 | makes it unnecessary. 178 | 179 | 3. Protecting Users' Legal Rights From Anti-Circumvention Law. 180 | 181 | No covered work shall be deemed part of an effective technological 182 | measure under any applicable law fulfilling obligations under article 183 | 11 of the WIPO copyright treaty adopted on 20 December 1996, or 184 | similar laws prohibiting or restricting circumvention of such 185 | measures. 186 | 187 | When you convey a covered work, you waive any legal power to forbid 188 | circumvention of technological measures to the extent such circumvention 189 | is effected by exercising rights under this License with respect to 190 | the covered work, and you disclaim any intention to limit operation or 191 | modification of the work as a means of enforcing, against the work's 192 | users, your or third parties' legal rights to forbid circumvention of 193 | technological measures. 194 | 195 | 4. Conveying Verbatim Copies. 196 | 197 | You may convey verbatim copies of the Program's source code as you 198 | receive it, in any medium, provided that you conspicuously and 199 | appropriately publish on each copy an appropriate copyright notice; 200 | keep intact all notices stating that this License and any 201 | non-permissive terms added in accord with section 7 apply to the code; 202 | keep intact all notices of the absence of any warranty; and give all 203 | recipients a copy of this License along with the Program. 204 | 205 | You may charge any price or no price for each copy that you convey, 206 | and you may offer support or warranty protection for a fee. 207 | 208 | 5. Conveying Modified Source Versions. 209 | 210 | You may convey a work based on the Program, or the modifications to 211 | produce it from the Program, in the form of source code under the 212 | terms of section 4, provided that you also meet all of these conditions: 213 | 214 | a) The work must carry prominent notices stating that you modified 215 | it, and giving a relevant date. 216 | 217 | b) The work must carry prominent notices stating that it is 218 | released under this License and any conditions added under section 219 | 7. This requirement modifies the requirement in section 4 to 220 | "keep intact all notices". 221 | 222 | c) You must license the entire work, as a whole, under this 223 | License to anyone who comes into possession of a copy. This 224 | License will therefore apply, along with any applicable section 7 225 | additional terms, to the whole of the work, and all its parts, 226 | regardless of how they are packaged. This License gives no 227 | permission to license the work in any other way, but it does not 228 | invalidate such permission if you have separately received it. 229 | 230 | d) If the work has interactive user interfaces, each must display 231 | Appropriate Legal Notices; however, if the Program has interactive 232 | interfaces that do not display Appropriate Legal Notices, your 233 | work need not make them do so. 234 | 235 | A compilation of a covered work with other separate and independent 236 | works, which are not by their nature extensions of the covered work, 237 | and which are not combined with it such as to form a larger program, 238 | in or on a volume of a storage or distribution medium, is called an 239 | "aggregate" if the compilation and its resulting copyright are not 240 | used to limit the access or legal rights of the compilation's users 241 | beyond what the individual works permit. Inclusion of a covered work 242 | in an aggregate does not cause this License to apply to the other 243 | parts of the aggregate. 244 | 245 | 6. Conveying Non-Source Forms. 246 | 247 | You may convey a covered work in object code form under the terms 248 | of sections 4 and 5, provided that you also convey the 249 | machine-readable Corresponding Source under the terms of this License, 250 | in one of these ways: 251 | 252 | a) Convey the object code in, or embodied in, a physical product 253 | (including a physical distribution medium), accompanied by the 254 | Corresponding Source fixed on a durable physical medium 255 | customarily used for software interchange. 256 | 257 | b) Convey the object code in, or embodied in, a physical product 258 | (including a physical distribution medium), accompanied by a 259 | written offer, valid for at least three years and valid for as 260 | long as you offer spare parts or customer support for that product 261 | model, to give anyone who possesses the object code either (1) a 262 | copy of the Corresponding Source for all the software in the 263 | product that is covered by this License, on a durable physical 264 | medium customarily used for software interchange, for a price no 265 | more than your reasonable cost of physically performing this 266 | conveying of source, or (2) access to copy the 267 | Corresponding Source from a network server at no charge. 268 | 269 | c) Convey individual copies of the object code with a copy of the 270 | written offer to provide the Corresponding Source. This 271 | alternative is allowed only occasionally and noncommercially, and 272 | only if you received the object code with such an offer, in accord 273 | with subsection 6b. 274 | 275 | d) Convey the object code by offering access from a designated 276 | place (gratis or for a charge), and offer equivalent access to the 277 | Corresponding Source in the same way through the same place at no 278 | further charge. You need not require recipients to copy the 279 | Corresponding Source along with the object code. If the place to 280 | copy the object code is a network server, the Corresponding Source 281 | may be on a different server (operated by you or a third party) 282 | that supports equivalent copying facilities, provided you maintain 283 | clear directions next to the object code saying where to find the 284 | Corresponding Source. Regardless of what server hosts the 285 | Corresponding Source, you remain obligated to ensure that it is 286 | available for as long as needed to satisfy these requirements. 287 | 288 | e) Convey the object code using peer-to-peer transmission, provided 289 | you inform other peers where the object code and Corresponding 290 | Source of the work are being offered to the general public at no 291 | charge under subsection 6d. 292 | 293 | A separable portion of the object code, whose source code is excluded 294 | from the Corresponding Source as a System Library, need not be 295 | included in conveying the object code work. 296 | 297 | A "User Product" is either (1) a "consumer product", which means any 298 | tangible personal property which is normally used for personal, family, 299 | or household purposes, or (2) anything designed or sold for incorporation 300 | into a dwelling. In determining whether a product is a consumer product, 301 | doubtful cases shall be resolved in favor of coverage. For a particular 302 | product received by a particular user, "normally used" refers to a 303 | typical or common use of that class of product, regardless of the status 304 | of the particular user or of the way in which the particular user 305 | actually uses, or expects or is expected to use, the product. A product 306 | is a consumer product regardless of whether the product has substantial 307 | commercial, industrial or non-consumer uses, unless such uses represent 308 | the only significant mode of use of the product. 309 | 310 | "Installation Information" for a User Product means any methods, 311 | procedures, authorization keys, or other information required to install 312 | and execute modified versions of a covered work in that User Product from 313 | a modified version of its Corresponding Source. The information must 314 | suffice to ensure that the continued functioning of the modified object 315 | code is in no case prevented or interfered with solely because 316 | modification has been made. 317 | 318 | If you convey an object code work under this section in, or with, or 319 | specifically for use in, a User Product, and the conveying occurs as 320 | part of a transaction in which the right of possession and use of the 321 | User Product is transferred to the recipient in perpetuity or for a 322 | fixed term (regardless of how the transaction is characterized), the 323 | Corresponding Source conveyed under this section must be accompanied 324 | by the Installation Information. But this requirement does not apply 325 | if neither you nor any third party retains the ability to install 326 | modified object code on the User Product (for example, the work has 327 | been installed in ROM). 328 | 329 | The requirement to provide Installation Information does not include a 330 | requirement to continue to provide support service, warranty, or updates 331 | for a work that has been modified or installed by the recipient, or for 332 | the User Product in which it has been modified or installed. Access to a 333 | network may be denied when the modification itself materially and 334 | adversely affects the operation of the network or violates the rules and 335 | protocols for communication across the network. 336 | 337 | Corresponding Source conveyed, and Installation Information provided, 338 | in accord with this section must be in a format that is publicly 339 | documented (and with an implementation available to the public in 340 | source code form), and must require no special password or key for 341 | unpacking, reading or copying. 342 | 343 | 7. Additional Terms. 344 | 345 | "Additional permissions" are terms that supplement the terms of this 346 | License by making exceptions from one or more of its conditions. 347 | Additional permissions that are applicable to the entire Program shall 348 | be treated as though they were included in this License, to the extent 349 | that they are valid under applicable law. If additional permissions 350 | apply only to part of the Program, that part may be used separately 351 | under those permissions, but the entire Program remains governed by 352 | this License without regard to the additional permissions. 353 | 354 | When you convey a copy of a covered work, you may at your option 355 | remove any additional permissions from that copy, or from any part of 356 | it. (Additional permissions may be written to require their own 357 | removal in certain cases when you modify the work.) You may place 358 | additional permissions on material, added by you to a covered work, 359 | for which you have or can give appropriate copyright permission. 360 | 361 | Notwithstanding any other provision of this License, for material you 362 | add to a covered work, you may (if authorized by the copyright holders of 363 | that material) supplement the terms of this License with terms: 364 | 365 | a) Disclaiming warranty or limiting liability differently from the 366 | terms of sections 15 and 16 of this License; or 367 | 368 | b) Requiring preservation of specified reasonable legal notices or 369 | author attributions in that material or in the Appropriate Legal 370 | Notices displayed by works containing it; or 371 | 372 | c) Prohibiting misrepresentation of the origin of that material, or 373 | requiring that modified versions of such material be marked in 374 | reasonable ways as different from the original version; or 375 | 376 | d) Limiting the use for publicity purposes of names of licensors or 377 | authors of the material; or 378 | 379 | e) Declining to grant rights under trademark law for use of some 380 | trade names, trademarks, or service marks; or 381 | 382 | f) Requiring indemnification of licensors and authors of that 383 | material by anyone who conveys the material (or modified versions of 384 | it) with contractual assumptions of liability to the recipient, for 385 | any liability that these contractual assumptions directly impose on 386 | those licensors and authors. 387 | 388 | All other non-permissive additional terms are considered "further 389 | restrictions" within the meaning of section 10. If the Program as you 390 | received it, or any part of it, contains a notice stating that it is 391 | governed by this License along with a term that is a further 392 | restriction, you may remove that term. If a license document contains 393 | a further restriction but permits relicensing or conveying under this 394 | License, you may add to a covered work material governed by the terms 395 | of that license document, provided that the further restriction does 396 | not survive such relicensing or conveying. 397 | 398 | If you add terms to a covered work in accord with this section, you 399 | must place, in the relevant source files, a statement of the 400 | additional terms that apply to those files, or a notice indicating 401 | where to find the applicable terms. 402 | 403 | Additional terms, permissive or non-permissive, may be stated in the 404 | form of a separately written license, or stated as exceptions; 405 | the above requirements apply either way. 406 | 407 | 8. Termination. 408 | 409 | You may not propagate or modify a covered work except as expressly 410 | provided under this License. Any attempt otherwise to propagate or 411 | modify it is void, and will automatically terminate your rights under 412 | this License (including any patent licenses granted under the third 413 | paragraph of section 11). 414 | 415 | However, if you cease all violation of this License, then your 416 | license from a particular copyright holder is reinstated (a) 417 | provisionally, unless and until the copyright holder explicitly and 418 | finally terminates your license, and (b) permanently, if the copyright 419 | holder fails to notify you of the violation by some reasonable means 420 | prior to 60 days after the cessation. 421 | 422 | Moreover, your license from a particular copyright holder is 423 | reinstated permanently if the copyright holder notifies you of the 424 | violation by some reasonable means, this is the first time you have 425 | received notice of violation of this License (for any work) from that 426 | copyright holder, and you cure the violation prior to 30 days after 427 | your receipt of the notice. 428 | 429 | Termination of your rights under this section does not terminate the 430 | licenses of parties who have received copies or rights from you under 431 | this License. If your rights have been terminated and not permanently 432 | reinstated, you do not qualify to receive new licenses for the same 433 | material under section 10. 434 | 435 | 9. Acceptance Not Required for Having Copies. 436 | 437 | You are not required to accept this License in order to receive or 438 | run a copy of the Program. Ancillary propagation of a covered work 439 | occurring solely as a consequence of using peer-to-peer transmission 440 | to receive a copy likewise does not require acceptance. However, 441 | nothing other than this License grants you permission to propagate or 442 | modify any covered work. These actions infringe copyright if you do 443 | not accept this License. Therefore, by modifying or propagating a 444 | covered work, you indicate your acceptance of this License to do so. 445 | 446 | 10. Automatic Licensing of Downstream Recipients. 447 | 448 | Each time you convey a covered work, the recipient automatically 449 | receives a license from the original licensors, to run, modify and 450 | propagate that work, subject to this License. You are not responsible 451 | for enforcing compliance by third parties with this License. 452 | 453 | An "entity transaction" is a transaction transferring control of an 454 | organization, or substantially all assets of one, or subdividing an 455 | organization, or merging organizations. If propagation of a covered 456 | work results from an entity transaction, each party to that 457 | transaction who receives a copy of the work also receives whatever 458 | licenses to the work the party's predecessor in interest had or could 459 | give under the previous paragraph, plus a right to possession of the 460 | Corresponding Source of the work from the predecessor in interest, if 461 | the predecessor has it or can get it with reasonable efforts. 462 | 463 | You may not impose any further restrictions on the exercise of the 464 | rights granted or affirmed under this License. For example, you may 465 | not impose a license fee, royalty, or other charge for exercise of 466 | rights granted under this License, and you may not initiate litigation 467 | (including a cross-claim or counterclaim in a lawsuit) alleging that 468 | any patent claim is infringed by making, using, selling, offering for 469 | sale, or importing the Program or any portion of it. 470 | 471 | 11. Patents. 472 | 473 | A "contributor" is a copyright holder who authorizes use under this 474 | License of the Program or a work on which the Program is based. The 475 | work thus licensed is called the contributor's "contributor version". 476 | 477 | A contributor's "essential patent claims" are all patent claims 478 | owned or controlled by the contributor, whether already acquired or 479 | hereafter acquired, that would be infringed by some manner, permitted 480 | by this License, of making, using, or selling its contributor version, 481 | but do not include claims that would be infringed only as a 482 | consequence of further modification of the contributor version. For 483 | purposes of this definition, "control" includes the right to grant 484 | patent sublicenses in a manner consistent with the requirements of 485 | this License. 486 | 487 | Each contributor grants you a non-exclusive, worldwide, royalty-free 488 | patent license under the contributor's essential patent claims, to 489 | make, use, sell, offer for sale, import and otherwise run, modify and 490 | propagate the contents of its contributor version. 491 | 492 | In the following three paragraphs, a "patent license" is any express 493 | agreement or commitment, however denominated, not to enforce a patent 494 | (such as an express permission to practice a patent or covenant not to 495 | sue for patent infringement). To "grant" such a patent license to a 496 | party means to make such an agreement or commitment not to enforce a 497 | patent against the party. 498 | 499 | If you convey a covered work, knowingly relying on a patent license, 500 | and the Corresponding Source of the work is not available for anyone 501 | to copy, free of charge and under the terms of this License, through a 502 | publicly available network server or other readily accessible means, 503 | then you must either (1) cause the Corresponding Source to be so 504 | available, or (2) arrange to deprive yourself of the benefit of the 505 | patent license for this particular work, or (3) arrange, in a manner 506 | consistent with the requirements of this License, to extend the patent 507 | license to downstream recipients. "Knowingly relying" means you have 508 | actual knowledge that, but for the patent license, your conveying the 509 | covered work in a country, or your recipient's use of the covered work 510 | in a country, would infringe one or more identifiable patents in that 511 | country that you have reason to believe are valid. 512 | 513 | If, pursuant to or in connection with a single transaction or 514 | arrangement, you convey, or propagate by procuring conveyance of, a 515 | covered work, and grant a patent license to some of the parties 516 | receiving the covered work authorizing them to use, propagate, modify 517 | or convey a specific copy of the covered work, then the patent license 518 | you grant is automatically extended to all recipients of the covered 519 | work and works based on it. 520 | 521 | A patent license is "discriminatory" if it does not include within 522 | the scope of its coverage, prohibits the exercise of, or is 523 | conditioned on the non-exercise of one or more of the rights that are 524 | specifically granted under this License. You may not convey a covered 525 | work if you are a party to an arrangement with a third party that is 526 | in the business of distributing software, under which you make payment 527 | to the third party based on the extent of your activity of conveying 528 | the work, and under which the third party grants, to any of the 529 | parties who would receive the covered work from you, a discriminatory 530 | patent license (a) in connection with copies of the covered work 531 | conveyed by you (or copies made from those copies), or (b) primarily 532 | for and in connection with specific products or compilations that 533 | contain the covered work, unless you entered into that arrangement, 534 | or that patent license was granted, prior to 28 March 2007. 535 | 536 | Nothing in this License shall be construed as excluding or limiting 537 | any implied license or other defenses to infringement that may 538 | otherwise be available to you under applicable patent law. 539 | 540 | 12. No Surrender of Others' Freedom. 541 | 542 | If conditions are imposed on you (whether by court order, agreement or 543 | otherwise) that contradict the conditions of this License, they do not 544 | excuse you from the conditions of this License. If you cannot convey a 545 | covered work so as to satisfy simultaneously your obligations under this 546 | License and any other pertinent obligations, then as a consequence you may 547 | not convey it at all. For example, if you agree to terms that obligate you 548 | to collect a royalty for further conveying from those to whom you convey 549 | the Program, the only way you could satisfy both those terms and this 550 | License would be to refrain entirely from conveying the Program. 551 | 552 | 13. Use with the GNU Affero General Public License. 553 | 554 | Notwithstanding any other provision of this License, you have 555 | permission to link or combine any covered work with a work licensed 556 | under version 3 of the GNU Affero General Public License into a single 557 | combined work, and to convey the resulting work. The terms of this 558 | License will continue to apply to the part which is the covered work, 559 | but the special requirements of the GNU Affero General Public License, 560 | section 13, concerning interaction through a network will apply to the 561 | combination as such. 562 | 563 | 14. Revised Versions of this License. 564 | 565 | The Free Software Foundation may publish revised and/or new versions of 566 | the GNU General Public License from time to time. Such new versions will 567 | be similar in spirit to the present version, but may differ in detail to 568 | address new problems or concerns. 569 | 570 | Each version is given a distinguishing version number. If the 571 | Program specifies that a certain numbered version of the GNU General 572 | Public License "or any later version" applies to it, you have the 573 | option of following the terms and conditions either of that numbered 574 | version or of any later version published by the Free Software 575 | Foundation. If the Program does not specify a version number of the 576 | GNU General Public License, you may choose any version ever published 577 | by the Free Software Foundation. 578 | 579 | If the Program specifies that a proxy can decide which future 580 | versions of the GNU General Public License can be used, that proxy's 581 | public statement of acceptance of a version permanently authorizes you 582 | to choose that version for the Program. 583 | 584 | Later license versions may give you additional or different 585 | permissions. However, no additional obligations are imposed on any 586 | author or copyright holder as a result of your choosing to follow a 587 | later version. 588 | 589 | 15. Disclaimer of Warranty. 590 | 591 | THERE IS NO WARRANTY FOR THE PROGRAM, TO THE EXTENT PERMITTED BY 592 | APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT 593 | HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY 594 | OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, 595 | THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR 596 | PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM 597 | IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF 598 | ALL NECESSARY SERVICING, REPAIR OR CORRECTION. 599 | 600 | 16. Limitation of Liability. 601 | 602 | IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING 603 | WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS 604 | THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY 605 | GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE 606 | USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF 607 | DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD 608 | PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS), 609 | EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF 610 | SUCH DAMAGES. 611 | 612 | 17. Interpretation of Sections 15 and 16. 613 | 614 | If the disclaimer of warranty and limitation of liability provided 615 | above cannot be given local legal effect according to their terms, 616 | reviewing courts shall apply local law that most closely approximates 617 | an absolute waiver of all civil liability in connection with the 618 | Program, unless a warranty or assumption of liability accompanies a 619 | copy of the Program in return for a fee. 620 | 621 | END OF TERMS AND CONDITIONS 622 | 623 | How to Apply These Terms to Your New Programs 624 | 625 | If you develop a new program, and you want it to be of the greatest 626 | possible use to the public, the best way to achieve this is to make it 627 | free software which everyone can redistribute and change under these terms. 628 | 629 | To do so, attach the following notices to the program. It is safest 630 | to attach them to the start of each source file to most effectively 631 | state the exclusion of warranty; and each file should have at least 632 | the "copyright" line and a pointer to where the full notice is found. 633 | 634 | 635 | Copyright (C) 636 | 637 | This program is free software: you can redistribute it and/or modify 638 | it under the terms of the GNU General Public License as published by 639 | the Free Software Foundation, either version 3 of the License, or 640 | (at your option) any later version. 641 | 642 | This program is distributed in the hope that it will be useful, 643 | but WITHOUT ANY WARRANTY; without even the implied warranty of 644 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the 645 | GNU General Public License for more details. 646 | 647 | You should have received a copy of the GNU General Public License 648 | along with this program. If not, see . 649 | 650 | Also add information on how to contact you by electronic and paper mail. 651 | 652 | If the program does terminal interaction, make it output a short 653 | notice like this when it starts in an interactive mode: 654 | 655 | Copyright (C) 656 | This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'. 657 | This is free software, and you are welcome to redistribute it 658 | under certain conditions; type `show c' for details. 659 | 660 | The hypothetical commands `show w' and `show c' should show the appropriate 661 | parts of the General Public License. Of course, your program's commands 662 | might be different; for a GUI interface, you would use an "about box". 663 | 664 | You should also get your employer (if you work as a programmer) or school, 665 | if any, to sign a "copyright disclaimer" for the program, if necessary. 666 | For more information on this, and how to apply and follow the GNU GPL, see 667 | . 668 | 669 | The GNU General Public License does not permit incorporating your program 670 | into proprietary programs. If your program is a subroutine library, you 671 | may consider it more useful to permit linking proprietary applications with 672 | the library. If this is what you want to do, use the GNU Lesser General 673 | Public License instead of this License. But first, please read 674 | . 675 | -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | 2 | # Tweener 3 | 4 | Helper functions for easing and tweening 5 | 6 | 7 | ## Installation 8 | 9 | ``` 10 | pip install tweener 11 | ``` 12 | 13 | ## Reference 14 | 15 | #### Tween object 16 | 17 | ```python 18 | Tween(begin, end, duration, easing, easing_mode, boomerang, loop, reps) 19 | ``` 20 | 21 | | Parameter | Type | Description | 22 | | :-------- | :------- | :-------------------------------------------------- | 23 | | `begin` | `float` | The beginning value of a property (default: `0.0`) | 24 | | `end` | `float` | The end value of a property (default: `1.0`) | 25 | | `duration`| `int` | The length of time that an animation takes to complete (default: `600 ms`) | 26 | | `easing` | `Easing` | The type of easing to apply. (default: `Easing.LINEAR`) | 27 | | `easing_mode` | `EasingMode` | The mode of easing `IN`, `OUT`, `IN_OUT`, (default: `IN`) | 28 | | `boomerang` | `bool` | Returns the animation back to its starting point and vice versa. (default: `False`) | 29 | | `loop` | `bool` | Loops the animation. When used with `boomerang`, it does the back and forth animation. (default: `False`) | 30 | | `reps` | `int` | Number of times the animation will be repeated. Zero means infinite. (default: `0`) | 31 | 32 | #### Starts the animation 33 | 34 | ```python 35 | Tween().start() 36 | ``` 37 | 38 | #### Updates the animation state 39 | 40 | ```python 41 | Tween().update() 42 | ``` 43 | 44 | #### Pauses the animation 45 | 46 | ```python 47 | Tween().pause() 48 | ``` 49 | 50 | #### Resumes the animation 51 | 52 | ```python 53 | Tween().resume() 54 | ``` 55 | 56 | ### Easing types 57 | LINEAR 58 | SINE 59 | QUAD 60 | CUBIC 61 | QUART 62 | QUINT 63 | EXPO 64 | CIRC 65 | BACK 66 | ELASTIC 67 | BOUNCE 68 | 69 | ### Easing modes (except linear) 70 | IN 71 | OUT 72 | IN_OUT 73 | 74 | ## Example 75 | I used Python version **3.10.5** and **pygame 2.1.2** 76 | ```python 77 | import pygame 78 | from tweener import * 79 | 80 | WIDTH = 600 81 | HEIGHT = 600 82 | TITLE = "Motion Demo" 83 | FPS = 60 84 | 85 | pygame.init() 86 | canvas = pygame.display.set_mode((WIDTH, HEIGHT)) 87 | pygame.display.set_caption(TITLE) 88 | 89 | running = True 90 | clock = pygame.time.Clock() 91 | 92 | rect = pg.Rect(0, 100, 100, 100) 93 | anim_y = Tween(begin=0, 94 | end=WIDTH-100, 95 | duration=1000, 96 | easing=Easing.BOUNCE, 97 | easing_mode=EasingMode.OUT, 98 | boomerang=True, 99 | loop=True) 100 | 101 | while running: 102 | for event in pygame.event.get(): 103 | if event.type == pygame.QUIT: 104 | running = False 105 | elif event.type == pygame.KEYUP: 106 | match event.key: 107 | case pygame.K_SPACE: 108 | anim_y.start() 109 | case pygame.K_p: 110 | anim_y.pause() 111 | case pygame.K_r: 112 | anim_y.resume() 113 | 114 | canvas.fill(pygame.Color(255, 255, 255)) 115 | 116 | # Update 117 | anim_y.update() 118 | rect.x = anim_y.value 119 | 120 | # Render 121 | pygame.draw.rect(canvas, (255, 0, 0), rect) 122 | pygame.display.flip() 123 | clock.tick(FPS) 124 | 125 | pygame.quit() 126 | ``` 127 | 128 | 129 | ## Demo 130 | https://user-images.githubusercontent.com/44640489/178249122-dbb962c0-eefd-4193-9fee-a001cf4e51a8.mp4 131 | ## Contributing 132 | 133 | Contributions are always welcome! 134 | 135 | ## References 136 | 137 | - https://easings.net/ 138 | - http://robertpenner.com/easing/ 139 | -------------------------------------------------------------------------------- /demo.py: -------------------------------------------------------------------------------- 1 | import pygame as pg 2 | from tween import Tween, Easing, EasingMode 3 | 4 | WIDTH = 600 5 | HEIGHT = 600 6 | TITLE = "Motion Demo" 7 | FPS = 60 8 | 9 | 10 | if __name__ == '__main__': 11 | pg.init() 12 | canvas = pg.display.set_mode((WIDTH, HEIGHT)) 13 | pg.display.set_caption(TITLE) 14 | 15 | running = True 16 | clock = pg.time.Clock() 17 | 18 | base_canvas = pg.Surface((WIDTH, HEIGHT), pg.SRCALPHA) 19 | 20 | font = pg.font.SysFont('arialblack', 14) 21 | 22 | BOX_SIZE = 30 23 | SPACING = 20 24 | boxes = [] 25 | easings = ( 26 | Easing.LINEAR, 27 | Easing.SINE, 28 | Easing.QUAD, 29 | Easing.CUBIC, 30 | Easing.QUART, 31 | Easing.QUINT, 32 | Easing.EXPO, 33 | Easing.CIRC, 34 | Easing.BACK, 35 | Easing.ELASTIC, 36 | Easing.BOUNCE 37 | ) 38 | ease_txt = ( 39 | 'linear', 40 | 'sinusoidal', 41 | 'quadratic', 42 | 'cubic', 43 | 'quartic', 44 | 'quintic', 45 | 'exponential', 46 | 'circular', 47 | 'back', 48 | 'elastic', 49 | 'bounce' 50 | ) 51 | 52 | mode = font.render('Mode: IN', True, pg.Color(76, 58, 81)) 53 | 54 | for i in range(11): 55 | boxes.append({ 56 | 'rect': pg.Rect(0, (BOX_SIZE + SPACING) * i, BOX_SIZE, BOX_SIZE), 57 | 'tween': Tween(0, WIDTH - BOX_SIZE, 58 | duration=2000, 59 | easing=easings[i], 60 | easing_mode=EasingMode.IN, 61 | boomerang=True, 62 | loop=True, 63 | reps=0), 64 | 'text': font.render(ease_txt[i], True, pg.Color(119, 67, 96)) 65 | }) 66 | 67 | # You can't use special functions in colors 68 | alpha_tween = Tween(255, 0, 69 | duration=2000, 70 | easing=Easing.QUAD, 71 | easing_mode=EasingMode.IN_OUT, 72 | boomerang=True, 73 | loop=True, 74 | reps=0) 75 | 76 | FPS = 60 77 | 78 | while running: 79 | for event in pg.event.get(): 80 | if event.type == pg.QUIT: 81 | running = False 82 | elif event.type == pg.KEYUP: 83 | match event.key: 84 | case pg.K_SPACE: 85 | for box in boxes: 86 | box['tween'].start() 87 | alpha_tween.start() 88 | case pg.K_p: 89 | for box in boxes: 90 | box['tween'].pause() 91 | alpha_tween.pause() 92 | case pg.K_r: 93 | for box in boxes: 94 | box['tween'].resume() 95 | alpha_tween.resume() 96 | case pg.K_1: 97 | for box in boxes: 98 | box['tween'].easing_mode = EasingMode.IN 99 | mode = font.render('Mode: IN', True, pg.Color(119, 67, 96)) 100 | case pg.K_2: 101 | for box in boxes: 102 | box['tween'].easing_mode = EasingMode.OUT 103 | mode = font.render('Mode: OUT', True, pg.Color(119, 67, 96)) 104 | case pg.K_3: 105 | for box in boxes: 106 | box['tween'].easing_mode = EasingMode.IN_OUT 107 | mode = font.render('Mode: IN_OUT', True, pg.Color(119, 67, 96)) 108 | 109 | 110 | canvas.fill(pg.Color(255, 255, 255)) 111 | 112 | # Update 113 | step = font.render(f'Step: {boxes[0]["tween"].step:.3f}', True, pg.Color(76, 58, 81)) 114 | 115 | for box in boxes: 116 | box['tween'].update() 117 | box['rect'].x = box['tween'].value 118 | 119 | # Render 120 | canvas.blit(box['text'], (WIDTH / 2 - box['text'].get_width() / 2, box['rect'].y)) 121 | pg.draw.rect(canvas, pg.Color(76, 58, 81), box['rect']) 122 | 123 | canvas.blit(mode, (20, 540)) 124 | canvas.blit(step, (20, 560)) 125 | 126 | pg.display.flip() 127 | clock.tick(FPS) 128 | 129 | pg.quit() 130 | -------------------------------------------------------------------------------- /ease.py: -------------------------------------------------------------------------------- 1 | import math 2 | 3 | PI = math.pi 4 | TAU = math.tau 5 | FBE = 1.70158 # Fallback effect constant 6 | 7 | 8 | class Ease: 9 | """ 10 | Easing functions based on https://easings.net/ 11 | 12 | * time_step - The current time/step of the animation. Domain: **[0.0-1.0]** 13 | **Returns** a value from range **[0.0-1.0]** 14 | """ 15 | ############################################################# 16 | # LINEAR 17 | ############################################################# 18 | @staticmethod 19 | def linear(time_step: float) -> float: 20 | return time_step 21 | 22 | ############################################################# 23 | # SINUSOIDAL 24 | ############################################################# 25 | @staticmethod 26 | def in_sine(time_step: float) -> float: 27 | return time_step if time_step == 1.0 else 1 - math.cos((time_step * PI) / 2) 28 | 29 | @staticmethod 30 | def out_sine(time_step: float) -> float: 31 | return math.sin((time_step * PI) / 2) 32 | 33 | @staticmethod 34 | def in_out_sine(time_step: float) -> float: 35 | return -(math.cos(PI * time_step) - 1) / 2 36 | 37 | ############################################################# 38 | # QUADRATIC 39 | ############################################################# 40 | @staticmethod 41 | def in_quad(time_step: float) -> float: 42 | return math.pow(time_step, 2) 43 | 44 | @staticmethod 45 | def out_quad(time_step: float) -> float: 46 | return 1 - math.pow(1 - time_step, 2) 47 | 48 | @staticmethod 49 | def in_out_quad(time_step: float) -> float: 50 | return 2 * math.pow(time_step, 2) if time_step < 0.5 \ 51 | else 1 - math.pow(-2 * time_step + 2, 2) / 2 52 | 53 | ############################################################# 54 | # CUBIC 55 | ############################################################# 56 | @staticmethod 57 | def in_cubic(time_step: float) -> float: 58 | return math.pow(time_step, 3) 59 | 60 | @staticmethod 61 | def out_cubic(time_step: float) -> float: 62 | return 1 - math.pow(1 - time_step, 3) 63 | 64 | @staticmethod 65 | def in_out_cubic(time_step: float) -> float: 66 | return 4 * math.pow(time_step, 3) if time_step < 0.5 \ 67 | else 1 - math.pow(-2 * time_step + 2, 3) / 2 68 | 69 | ############################################################# 70 | # QUARTIC 71 | ############################################################# 72 | @staticmethod 73 | def in_quart(time_step: float) -> float: 74 | return math.pow(time_step, 4) 75 | 76 | @staticmethod 77 | def out_quart(time_step: float) -> float: 78 | return 1 - math.pow(1 - time_step, 4) 79 | 80 | @staticmethod 81 | def in_out_quart(time_step: float) -> float: 82 | return 8 * math.pow(time_step, 4) if time_step < 0.5 \ 83 | else 1 - math.pow(-2 * time_step + 2, 4) / 2 84 | 85 | ############################################################# 86 | # QUINTIC 87 | ############################################################# 88 | @staticmethod 89 | def in_quint(time_step: float) -> float: 90 | return math.pow(time_step, 5) 91 | 92 | @staticmethod 93 | def out_quint(time_step: float) -> float: 94 | return 1 - math.pow(1 - time_step, 5) 95 | 96 | @staticmethod 97 | def in_out_quint(time_step: float) -> float: 98 | return 16 * math.pow(time_step, 5) if time_step < 0.5 \ 99 | else 1 - math.pow(-2 * time_step + 2, 5) / 2 100 | 101 | ############################################################# 102 | # EXPONENTIAL 103 | ############################################################# 104 | @staticmethod 105 | def in_expo(time_step: float) -> float: 106 | return time_step if time_step == 0.0 \ 107 | else math.pow(2, 10 * time_step - 10) 108 | 109 | @staticmethod 110 | def out_expo(time_step: float) -> float: 111 | return time_step if time_step == 1.0 \ 112 | else 1 - math.pow(2, -10 * time_step) 113 | 114 | @staticmethod 115 | def in_out_expo(time_step: float) -> float: 116 | if time_step == 0.0 or time_step == 1.0: 117 | return time_step 118 | elif time_step < 0.5: 119 | return math.pow(2, 20 * time_step - 10) / 2 120 | else: 121 | return (2 - math.pow(2, -20 * time_step + 10)) / 2 122 | 123 | ############################################################# 124 | # CIRCULAR 125 | ############################################################# 126 | @staticmethod 127 | def in_circ(time_step: float) -> float: 128 | return 1 - math.sqrt(1 - math.pow(time_step, 2)) 129 | 130 | @staticmethod 131 | def out_circ(time_step: float) -> float: 132 | return math.sqrt(1 - math.pow(time_step - 1, 2)) 133 | 134 | @staticmethod 135 | def in_out_circ(time_step: float) -> float: 136 | return (1 - math.sqrt(1 - pow(2 * time_step, 2))) / 2 if time_step < 0.5\ 137 | else (math.sqrt(1 - math.pow(-2 * time_step + 2, 2)) + 1) / 2 138 | 139 | ############################################################# 140 | # SPECIAL FUNCTIONS 141 | ############################################################# 142 | @staticmethod 143 | def in_back(time_step: float) -> float: 144 | return time_step if time_step == 1.0 \ 145 | else (FBE + 1) * math.pow(time_step, 3) - FBE * math.pow(time_step, 2) 146 | 147 | @staticmethod 148 | def out_back(time_step: float) -> float: 149 | return time_step if time_step == 0.0 \ 150 | else 1 + (FBE + 1) * math.pow(time_step - 1, 3) + FBE * math.pow(time_step - 1, 2) 151 | 152 | @staticmethod 153 | def in_out_back(time_step: float) -> float: 154 | FBE2 = 2.5949095 155 | return math.pow(2 * time_step, 2) * ((FBE2 + 1) * 2 * time_step - FBE2) / 2 if time_step < 0.5 \ 156 | else (math.pow(2 * time_step - 2, 2) * ((FBE2 + 1) * (time_step * 2 - 2) + FBE2) + 2) / 2 157 | 158 | @staticmethod 159 | def in_elastic(time_step: float) -> float: 160 | ANGLE = TAU / 3 161 | return time_step if time_step == 0 or time_step == 1 \ 162 | else -math.pow(2, 10 * time_step - 10) * math.sin((time_step * 10 - 10.75) * ANGLE) 163 | 164 | @staticmethod 165 | def out_elastic(time_step: float) -> float: 166 | ANGLE = TAU / 3 167 | return time_step if time_step == 0.0 or time_step == 1.0 \ 168 | else math.pow(2, -10 * time_step) * math.sin((time_step * 10 - 0.75) * ANGLE) + 1 169 | 170 | @staticmethod 171 | def in_out_elastic(time_step: float) -> float: 172 | ANGLE = TAU / 4.5 173 | if time_step == 0.0 or time_step == 1.0: 174 | return time_step 175 | elif time_step < 0.5: 176 | return -(math.pow(2, 20 * time_step - 10) * math.sin((20 * time_step - 11.125) * ANGLE)) / 2 177 | else: 178 | return math.pow(2, -20 * time_step + 10) * math.sin((20 * time_step - 11.125) * ANGLE) / 2 + 1 179 | 180 | @staticmethod 181 | def in_bounce(time_step: float) -> float: 182 | return 1 - Ease.out_bounce(1 - time_step) 183 | 184 | @staticmethod 185 | def out_bounce(time_step: float) -> float: 186 | if time_step < (1 / 2.75): 187 | return 7.5625 * math.pow(time_step, 2) 188 | elif time_step < (2 / 2.75): 189 | return 7.5625 * math.pow(time_step - 1.5 / 2.75, 2) + .75 190 | elif time_step < (2.5 / 2.75): 191 | return 7.5625 * math.pow(time_step - 2.25 / 2.75, 2) + .9375 192 | else: 193 | return 7.5625 * math.pow(time_step - 2.625 / 2.75, 2) + .984375 194 | 195 | @staticmethod 196 | def in_out_bounce(time_step: float) -> float: 197 | return (1 - Ease.out_bounce(1 - 2 * time_step)) / 2 if time_step < 0.5 \ 198 | else (1 + Ease.out_bounce(2 * time_step - 1)) / 2 199 | 200 | -------------------------------------------------------------------------------- /ease2.py: -------------------------------------------------------------------------------- 1 | import math 2 | from typing import Union, NewType 3 | 4 | PI = math.pi 5 | TAU = math.tau 6 | 7 | 8 | class Ease2: 9 | """ 10 | Easing equations by Robert Penner 11 | 12 | * step - The current time/step of the animation. Domain: **[0.0-1.0]** 13 | * start - the starting value of the property 14 | * delta - the amount of change between the start and end values, i.e. (end - start) 15 | * duration - the total the length of time that an animation takes to complete 16 | **Returns** a value from range **[0.0-1.0]** 17 | """ 18 | Number = NewType('Number', Union[int, float]) 19 | 20 | ############################################################# 21 | # LINEAR 22 | ############################################################# 23 | @staticmethod 24 | def linear(step: float, start: Number, delta: Number, duration: int) -> float: 25 | step = min(step / duration, 1.0) 26 | return delta * step + start 27 | 28 | ############################################################# 29 | # SINUSOIDAL 30 | ############################################################# 31 | @staticmethod 32 | def in_sine(step: float, start: Number, delta: Number, duration: int) -> float: 33 | step = min(step / duration, 1.0) 34 | if step == 1.0: 35 | return start + delta 36 | return delta * (1 - math.cos(step * (PI / 2))) + start 37 | 38 | @staticmethod 39 | def out_sine(step: float, start: Number, delta: Number, duration: int) -> float: 40 | step = min(step / duration, 1.0) 41 | return delta * math.sin(step * (PI / 2)) + start 42 | 43 | @staticmethod 44 | def in_out_sine(step: float, start: Number, delta: Number, duration: int) -> float: 45 | step = min(step / duration, 1.0) 46 | return delta / 2 * (1 - math.cos(PI * step)) + start 47 | 48 | ############################################################# 49 | # QUADRATIC 50 | ############################################################# 51 | @staticmethod 52 | def in_quad(step: float, start: Number, delta: Number, duration: int) -> float: 53 | step = min(step / duration, 1.0) 54 | return delta * math.pow(step, 2) + start 55 | 56 | @staticmethod 57 | def out_quad(step: float, start: Number, delta: Number, duration: int) -> float: 58 | step = min(step / duration, 1.0) 59 | return -delta * step * (step - 2) + start 60 | 61 | @staticmethod 62 | def in_out_quad(step: float, start: Number, delta: Number, duration: int) -> float: 63 | step /= duration / 2 64 | if step < 1: 65 | return delta / 2 * math.pow(step, 2) + start 66 | 67 | step = min(step - 1, 1.0) 68 | return -delta / 2 * (step * (step - 2) - 1) + start 69 | 70 | ############################################################# 71 | # CUBIC 72 | ############################################################# 73 | @staticmethod 74 | def in_cubic(step: float, start: Number, delta: Number, duration: int) -> float: 75 | step = min(step / duration, 1.0) 76 | return delta * math.pow(step, 3) + start 77 | 78 | @staticmethod 79 | def out_cubic(step: float, start: Number, delta: Number, duration: int) -> float: 80 | step = min(step / duration, 1.0) 81 | return delta * (math.pow(step - 1, 3) + 1) + start 82 | 83 | @staticmethod 84 | def in_out_cubic(step: float, start: Number, delta: Number, duration: int) -> float: 85 | step = min(step / (duration / 2), 2.0) 86 | if step < 1: 87 | return delta / 2 * math.pow(step, 3) + start 88 | 89 | return delta / 2 * (math.pow(step - 2, 3) + 2) + start 90 | 91 | ############################################################# 92 | # QUARTIC 93 | ############################################################# 94 | @staticmethod 95 | def in_quart(step: float, start: Number, delta: Number, duration: int) -> float: 96 | step = min(step / duration, 1.0) 97 | return delta * math.pow(step, 4) + start 98 | 99 | @staticmethod 100 | def out_quart(step: float, start: Number, delta: Number, duration: int) -> float: 101 | step = min(step / duration, 1.0) 102 | return -delta * (math.pow(step - 1, 4) - 1) + start 103 | 104 | @staticmethod 105 | def in_out_quart(step: float, start: Number, delta: Number, duration: int) -> float: 106 | step = min(step / (duration / 2), 2.0) 107 | if step < 1: 108 | return delta / 2 * math.pow(step, 4) + start 109 | 110 | return -delta / 2 * (math.pow(step - 2, 4) - 2) + start 111 | 112 | ############################################################# 113 | # QUINTIC 114 | ############################################################# 115 | @staticmethod 116 | def in_quint(step: float, start: Number, delta: Number, duration: int) -> float: 117 | step = min(step / duration, 1.0) 118 | return delta * math.pow(step, 5) + start 119 | 120 | @staticmethod 121 | def out_quint(step: float, start: Number, delta: Number, duration: int) -> float: 122 | step = min(step / duration, 1.0) 123 | return delta * (math.pow(step - 1, 5) + 1) + start 124 | 125 | @staticmethod 126 | def in_out_quint(step: float, start: Number, delta: Number, duration: int) -> float: 127 | step = min(step / (duration / 2), 2.0) 128 | if step < 1: 129 | return delta / 2 * math.pow(step, 5) + start 130 | 131 | return delta / 2 * (math.pow(step - 2, 5) + 2) + start 132 | 133 | ############################################################# 134 | # EXPONENTIAL 135 | ############################################################# 136 | @staticmethod 137 | def in_expo(step: float, start: Number, delta: Number, duration: int) -> float: 138 | step = min(step / duration, 1.0) 139 | return delta * math.pow(2, 10 * (step - 1)) + start 140 | 141 | @staticmethod 142 | def out_expo(step: float, start: Number, delta: Number, duration: int) -> float: 143 | step = min(step / duration, 1.0) 144 | if step == 1.0: 145 | return start + delta 146 | return delta * (1 - math.pow(2, -10 * step)) + start 147 | 148 | @staticmethod 149 | def in_out_expo(step: float, start: Number, delta: Number, duration: int) -> float: 150 | step = min(step / (duration / 2), 2.0) 151 | if step == 0.0: 152 | return start 153 | elif 0.0 < step < 1.0: 154 | return delta / 2 * math.pow(2, 10 * (step - 1)) + start 155 | elif step == 2.0: 156 | return start + delta 157 | 158 | return delta / 2 * (2 - math.pow(2, -10 * (step - 1))) + start 159 | 160 | ############################################################# 161 | # CIRCULAR 162 | ############################################################# 163 | @staticmethod 164 | def in_circ(step: float, start: Number, delta: Number, duration: int) -> float: 165 | step = min(step / duration, 1.0) 166 | return -delta * (math.sqrt(1 - math.pow(step, 2)) - 1) + start 167 | 168 | @staticmethod 169 | def out_circ(step: float, start: Number, delta: Number, duration: int) -> float: 170 | step = min(step / duration, 1.0) 171 | return delta * math.sqrt(1 - math.pow(step - 1, 2)) + start 172 | 173 | @staticmethod 174 | def in_out_circ(step: float, start: Number, delta: Number, duration: int) -> float: 175 | step = min(step / (duration / 2), 2.0) 176 | if step < 1: 177 | return delta / 2 * (1 - math.sqrt(1 - math.pow(step, 2))) + start 178 | 179 | return delta / 2 * (math.sqrt(1 - math.pow(step - 2, 2)) + 1) + start 180 | 181 | ############################################################################# 182 | # SPECIAL FUNCTIONS 183 | # From: https://web.archive.org/web/20181122181216/http://kodhus.com/easings/ 184 | # P.S. The original link is dead :( 185 | ############################################################################# 186 | @staticmethod 187 | def in_back(step: float, start: Number, delta: Number, duration: int) -> float: 188 | C1 = 1.70158 189 | step = min(step / duration, 1.0) 190 | if step == 1.0: 191 | return start + delta 192 | return delta * math.pow(step, 2) * ((C1 + 1) * step - C1) + start 193 | 194 | @staticmethod 195 | def out_back(step: float, start: Number, delta: Number, duration: int) -> float: 196 | C1 = 1.70158 197 | step = min(step / duration, 1.0) 198 | if step == 1.0: 199 | return start + delta 200 | return delta * (math.pow(step - 1, 2) * ((C1 + 1) * (step - 1) + C1) + 1) + start 201 | 202 | @staticmethod 203 | def in_out_back(step: float, start: Number, delta: Number, duration: int) -> float: 204 | C2 = 2.5949095 205 | step = min(step / (duration / 2), 2.0) 206 | 207 | if step < 1: 208 | return delta / 2 * (step * step * ((C2 + 1) * step - C2)) + start 209 | 210 | step -= 2 211 | return delta / 2 * (step * step * ((C2 + 1) * step + C2) + 2) + start 212 | 213 | @staticmethod 214 | def in_elastic(step: float, start: Number, delta: Number, duration: int) -> float: 215 | s = 1.70158 216 | p, a = 0, delta 217 | 218 | if step == 0: 219 | return start 220 | 221 | step = min(step / duration, 1.0) 222 | if step == 1: 223 | return start + delta 224 | 225 | if p == 0: 226 | p = duration * .3 227 | 228 | if a < math.fabs(delta): 229 | a = delta 230 | s = p / 4 231 | else: 232 | s = p / TAU * math.asin(delta / a) 233 | 234 | step -= 1 235 | return -(a * math.pow(2, 10 * step) * math.sin((step * duration - s) * TAU / p)) + start 236 | 237 | @staticmethod 238 | def out_elastic(step: float, start: Number, delta: Number, duration: int) -> float: 239 | s = 1.70158 240 | p, a = 0, delta 241 | 242 | if step == 0: 243 | return start 244 | 245 | step = min(step / duration, 1.0) 246 | if step == 1: 247 | return start + delta 248 | 249 | if p == 0: 250 | p = duration * .3 251 | 252 | if a < math.fabs(delta): 253 | a = delta 254 | s = p / 4 255 | else: 256 | s = p / TAU * math.asin(delta / a) 257 | 258 | return a * math.pow(2, -10 * step) * math.sin((step * duration - s) * TAU / p) + delta + start 259 | 260 | @staticmethod 261 | def in_out_elastic(step: float, start: Number, delta: Number, duration: int) -> float: 262 | s = 1.70158 263 | p, a = 0, delta 264 | 265 | if step == 0: 266 | return start 267 | 268 | step = min(step / (duration / 2), 2.0) 269 | if step == 2: 270 | return start + delta 271 | 272 | if p == 0: 273 | p = duration * .3 * 1.5 274 | 275 | if a < math.fabs(delta): 276 | a = delta 277 | s = p / 4 278 | else: 279 | s = p / TAU * math.asin(delta / a) 280 | 281 | if step < 1: 282 | step -= 1 283 | return -.5 * a * math.pow(2, 10 * step) * math.sin((step * duration - s) * TAU / p) + start 284 | 285 | step -= 1 286 | return a * math.pow(2, -10 * step) * math.sin((step * duration - s) * TAU / p) * .5 + delta + start 287 | 288 | @staticmethod 289 | def in_bounce(step: float, start: Number, delta: Number, duration: int) -> float: 290 | return delta - Ease2.out_bounce(duration - step, 0, delta, duration) + start 291 | 292 | @staticmethod 293 | def out_bounce(step: float, start: Number, delta: Number, duration: int) -> float: 294 | step = min(step / duration, 1.0) 295 | 296 | if step < 0.0: 297 | step = 0.0 298 | 299 | if step < (1 / 2.75): 300 | return delta * (7.5625 * math.pow(step, 2)) + start 301 | elif step < (2 / 2.75): 302 | return delta * (7.5625 * math.pow(step - (1.5 / 2.75), 2) + .75) + start 303 | elif step < (2.5 / 2.75): 304 | return delta * (7.5625 * math.pow(step - (2.25 / 2.75), 2) + .9375) + start 305 | else: 306 | return delta * (7.5625 * math.pow(step - (2.625 / 2.75), 2) + .984375) + start 307 | 308 | @staticmethod 309 | def in_out_bounce(step: float, start: Number, delta: Number, duration: int) -> float: 310 | if step < duration / 2: 311 | return Ease2.in_bounce(step * 2, 0, delta, duration) * .5 + start 312 | return Ease2.out_bounce(step * 2 - duration, 0, delta, duration) * .5 + delta * .5 + start 313 | -------------------------------------------------------------------------------- /tests/test_ease.py: -------------------------------------------------------------------------------- 1 | from unittest import TestCase 2 | from ease import Ease 3 | 4 | 5 | class TestEase(TestCase): 6 | def test_linear(self): 7 | self.assertEqual(0.0, Ease.linear(0.0)) 8 | self.assertEqual(1.0, Ease.linear(1.0)) 9 | 10 | def test_in_sine(self): 11 | self.assertEqual(0.0, Ease.in_sine(0.0)) 12 | self.assertEqual(1.0, Ease.in_sine(1.0)) 13 | 14 | def test_out_sine(self): 15 | self.assertEqual(0.0, Ease.out_sine(0.0)) 16 | self.assertEqual(1.0, Ease.out_sine(1.0)) 17 | 18 | def test_in_out_sine(self): 19 | self.assertEqual(0.0, Ease.in_out_sine(0.0)) 20 | self.assertEqual(1.0, Ease.in_out_sine(1.0)) 21 | 22 | def test_in_quad(self): 23 | self.assertEqual(0.0, Ease.in_quad(0.0)) 24 | self.assertEqual(1.0, Ease.in_quad(1.0)) 25 | 26 | def test_out_quad(self): 27 | self.assertEqual(0.0, Ease.out_quad(0.0)) 28 | self.assertEqual(1.0, Ease.out_quad(1.0)) 29 | 30 | def test_in_out_quad(self): 31 | self.assertEqual(0.0, Ease.in_out_quad(0.0)) 32 | self.assertEqual(1.0, Ease.in_out_quad(1.0)) 33 | 34 | def test_in_cubic(self): 35 | self.assertEqual(0.0, Ease.in_cubic(0.0)) 36 | self.assertEqual(1.0, Ease.in_cubic(1.0)) 37 | 38 | def test_out_cubic(self): 39 | self.assertEqual(0.0, Ease.out_cubic(0.0)) 40 | self.assertEqual(1.0, Ease.out_cubic(1.0)) 41 | 42 | def test_in_out_cubic(self): 43 | self.assertEqual(0.0, Ease.in_out_cubic(0.0)) 44 | self.assertEqual(1.0, Ease.in_out_cubic(1.0)) 45 | 46 | def test_in_quart(self): 47 | self.assertEqual(0.0, Ease.in_quart(0.0)) 48 | self.assertEqual(1.0, Ease.in_quart(1.0)) 49 | 50 | def test_out_quart(self): 51 | self.assertEqual(0.0, Ease.out_quart(0.0)) 52 | self.assertEqual(1.0, Ease.out_quart(1.0)) 53 | 54 | def test_in_out_quart(self): 55 | self.assertEqual(0.0, Ease.in_out_quart(0.0)) 56 | self.assertEqual(1.0, Ease.in_out_quart(1.0)) 57 | 58 | def test_in_quint(self): 59 | self.assertEqual(0.0, Ease.in_quint(0.0)) 60 | self.assertEqual(1.0, Ease.in_quint(1.0)) 61 | 62 | def test_out_quint(self): 63 | self.assertEqual(0.0, Ease.out_quint(0.0)) 64 | self.assertEqual(1.0, Ease.out_quint(1.0)) 65 | 66 | def test_in_out_quint(self): 67 | self.assertEqual(0.0, Ease.in_out_quint(0.0)) 68 | self.assertEqual(1.0, Ease.in_out_quint(1.0)) 69 | 70 | def test_in_expo(self): 71 | self.assertEqual(0.0, Ease.in_expo(0.0)) 72 | self.assertEqual(1.0, Ease.in_expo(1.0)) 73 | 74 | def test_out_expo(self): 75 | self.assertEqual(0.0, Ease.out_expo(0.0)) 76 | self.assertEqual(1.0, Ease.out_expo(1.0)) 77 | 78 | def test_in_out_expo(self): 79 | self.assertEqual(0.0, Ease.in_out_expo(0.0)) 80 | self.assertEqual(1.0, Ease.in_out_expo(1.0)) 81 | 82 | def test_in_circ(self): 83 | self.assertEqual(0.0, Ease.in_circ(0.0)) 84 | self.assertEqual(1.0, Ease.in_circ(1.0)) 85 | 86 | def test_out_circ(self): 87 | self.assertEqual(0.0, Ease.out_circ(0.0)) 88 | self.assertEqual(1.0, Ease.out_circ(1.0)) 89 | 90 | def test_in_out_circ(self): 91 | self.assertEqual(0.0, Ease.in_out_circ(0.0)) 92 | self.assertEqual(1.0, Ease.in_out_circ(1.0)) 93 | 94 | def test_in_back(self): 95 | self.assertEqual(0.0, Ease.in_back(0.0)) 96 | self.assertEqual(1.0, Ease.in_back(1.0)) 97 | 98 | def test_out_back(self): 99 | self.assertEqual(0.0, Ease.out_back(0.0)) 100 | self.assertEqual(1.0, Ease.out_back(1.0)) 101 | 102 | def test_in_out_back(self): 103 | self.assertEqual(0.0, Ease.in_out_back(0.0)) 104 | self.assertEqual(1.0, Ease.in_out_back(1.0)) 105 | 106 | def test_in_elastic(self): 107 | self.assertEqual(0.0, Ease.in_elastic(0.0)) 108 | self.assertEqual(1.0, Ease.in_elastic(1.0)) 109 | 110 | def test_out_elastic(self): 111 | self.assertEqual(0.0, Ease.out_elastic(0.0)) 112 | self.assertEqual(1.0, Ease.out_elastic(1.0)) 113 | 114 | def test_in_out_elastic(self): 115 | self.assertEqual(0.0, Ease.in_out_elastic(0.0)) 116 | self.assertEqual(1.0, Ease.in_out_elastic(1.0)) 117 | 118 | def test_in_bounce(self): 119 | self.assertEqual(0.0, Ease.in_bounce(0.0)) 120 | self.assertEqual(1.0, Ease.in_bounce(1.0)) 121 | 122 | def test_out_bounce(self): 123 | self.assertEqual(0.0, Ease.out_bounce(0.0)) 124 | self.assertEqual(1.0, Ease.out_bounce(1.0)) 125 | 126 | def test_in_out_bounce(self): 127 | self.assertEqual(0.0, Ease.in_out_bounce(0.0)) 128 | self.assertEqual(1.0, Ease.in_out_bounce(1.0)) 129 | -------------------------------------------------------------------------------- /tests/test_ease2.py: -------------------------------------------------------------------------------- 1 | from unittest import TestCase 2 | from ease2 import Ease2 3 | 4 | 5 | class TestEase2(TestCase): 6 | def setUp(self): 7 | self.t = 3000 8 | self.b = 0 9 | self.c = 500 10 | self.d = 3000 11 | 12 | def test_linear(self): 13 | v = Ease2.linear(self.t, self.b, self.c, self.d) 14 | self.assertEqual(self.c + self.b, v) 15 | 16 | v = Ease2.linear(self.t, self.c + self.b, -self.c, self.d) 17 | self.assertEqual(self.b, v) 18 | 19 | def test_in_sine(self): 20 | v = Ease2.in_sine(self.t, self.b, self.c, self.d) 21 | self.assertEqual(self.c + self.b, v) 22 | 23 | v = Ease2.in_sine(self.t, self.c + self.b, -self.c, self.d) 24 | self.assertEqual(self.b, v) 25 | 26 | def test_out_sine(self): 27 | v = Ease2.out_sine(self.t, self.b, self.c, self.d) 28 | self.assertEqual(self.c + self.b, v) 29 | 30 | v = Ease2.out_sine(self.t, self.c + self.b, -self.c, self.d) 31 | self.assertEqual(self.b, v) 32 | 33 | def test_in_out_sine(self): 34 | v = Ease2.in_out_sine(self.t, self.b, self.c, self.d) 35 | self.assertEqual(self.c + self.b, v) 36 | 37 | v = Ease2.in_out_sine(self.t, self.c + self.b, -self.c, self.d) 38 | self.assertEqual(self.b, v) 39 | 40 | def test_in_quad(self): 41 | v = Ease2.in_quad(self.t, self.b, self.c, self.d) 42 | self.assertEqual(self.c + self.b, v) 43 | 44 | v = Ease2.in_quad(self.t, self.c + self.b, -self.c, self.d) 45 | self.assertEqual(self.b, v) 46 | 47 | def test_out_quad(self): 48 | v = Ease2.out_quad(self.t, self.b, self.c, self.d) 49 | self.assertEqual(self.c + self.b, v) 50 | 51 | v = Ease2.out_quad(self.t, self.c + self.b, -self.c, self.d) 52 | self.assertEqual(self.b, v) 53 | 54 | def test_in_out_quad(self): 55 | v = Ease2.in_out_quad(self.t, self.b, self.c, self.d) 56 | self.assertEqual(self.c + self.b, v) 57 | 58 | v = Ease2.in_out_quad(self.t, self.c + self.b, -self.c, self.d) 59 | self.assertEqual(self.b, v) 60 | 61 | def test_in_cubic(self): 62 | v = Ease2.in_cubic(self.t, self.b, self.c, self.d) 63 | self.assertEqual(self.c + self.b, v) 64 | 65 | v = Ease2.in_cubic(self.t, self.c + self.b, -self.c, self.d) 66 | self.assertEqual(self.b, v) 67 | 68 | def test_out_cubic(self): 69 | v = Ease2.out_cubic(self.t, self.b, self.c, self.d) 70 | self.assertEqual(self.c + self.b, v) 71 | 72 | v = Ease2.out_cubic(self.t, self.c + self.b, -self.c, self.d) 73 | self.assertEqual(self.b, v) 74 | 75 | def test_in_out_cubic(self): 76 | v = Ease2.in_out_cubic(self.t, self.b, self.c, self.d) 77 | self.assertEqual(self.c + self.b, v) 78 | 79 | v = Ease2.in_out_cubic(self.t, self.c + self.b, -self.c, self.d) 80 | self.assertEqual(self.b, v) 81 | 82 | def test_in_quart(self): 83 | v = Ease2.in_quart(self.t, self.b, self.c, self.d) 84 | self.assertEqual(self.c + self.b, v) 85 | 86 | v = Ease2.in_quart(self.t, self.c + self.b, -self.c, self.d) 87 | self.assertEqual(self.b, v) 88 | 89 | def test_out_quart(self): 90 | v = Ease2.out_quart(self.t, self.b, self.c, self.d) 91 | self.assertEqual(self.c + self.b, v) 92 | 93 | v = Ease2.out_quart(self.t, self.c + self.b, -self.c, self.d) 94 | self.assertEqual(self.b, v) 95 | 96 | def test_in_out_quart(self): 97 | v = Ease2.in_out_quart(self.t, self.b, self.c, self.d) 98 | self.assertEqual(self.c + self.b, v) 99 | 100 | v = Ease2.in_out_quart(self.t, self.c + self.b, -self.c, self.d) 101 | self.assertEqual(self.b, v) 102 | 103 | def test_in_quint(self): 104 | v = Ease2.in_quint(self.t, self.b, self.c, self.d) 105 | self.assertEqual(self.c + self.b, v) 106 | 107 | v = Ease2.in_quint(self.t, self.c + self.b, -self.c, self.d) 108 | self.assertEqual(self.b, v) 109 | 110 | def test_out_quint(self): 111 | v = Ease2.out_quint(self.t, self.b, self.c, self.d) 112 | self.assertEqual(self.c + self.b, v) 113 | 114 | v = Ease2.out_quint(self.t, self.c + self.b, -self.c, self.d) 115 | self.assertEqual(self.b, v) 116 | 117 | def test_in_out_quint(self): 118 | v = Ease2.in_out_quint(self.t, self.b, self.c, self.d) 119 | self.assertEqual(self.c + self.b, v) 120 | 121 | v = Ease2.in_out_quint(self.t, self.c + self.b, -self.c, self.d) 122 | self.assertEqual(self.b, v) 123 | 124 | def test_in_expo(self): 125 | v = Ease2.in_expo(self.t, self.b, self.c, self.d) 126 | self.assertEqual(self.c + self.b, v) 127 | 128 | v = Ease2.in_expo(self.t, self.c + self.b, -self.c, self.d) 129 | self.assertEqual(self.b, v) 130 | 131 | def test_out_expo(self): 132 | v = Ease2.out_expo(self.t, self.b, self.c, self.d) 133 | self.assertEqual(self.c + self.b, v) 134 | 135 | v = Ease2.out_expo(self.t, self.c + self.b, -self.c, self.d) 136 | self.assertEqual(self.b, v) 137 | 138 | def test_in_out_expo(self): 139 | v = Ease2.in_out_expo(self.t, self.b, self.c, self.d) 140 | self.assertEqual(self.c + self.b, v) 141 | 142 | v = Ease2.in_out_expo(self.t, self.c + self.b, -self.c, self.d) 143 | self.assertEqual(self.b, v) 144 | 145 | def test_in_circ(self): 146 | v = Ease2.in_circ(self.t, self.b, self.c, self.d) 147 | self.assertEqual(self.c + self.b, v) 148 | 149 | v = Ease2.in_circ(self.t, self.c + self.b, -self.c, self.d) 150 | self.assertEqual(self.b, v) 151 | 152 | def test_out_circ(self): 153 | v = Ease2.out_circ(self.t, self.b, self.c, self.d) 154 | self.assertEqual(self.c + self.b, v) 155 | 156 | v = Ease2.out_circ(self.t, self.c + self.b, -self.c, self.d) 157 | self.assertEqual(self.b, v) 158 | 159 | def test_in_out_circ(self): 160 | v = Ease2.in_out_circ(self.t, self.b, self.c, self.d) 161 | self.assertEqual(self.c + self.b, v) 162 | 163 | v = Ease2.in_out_circ(self.t, self.c + self.b, -self.c, self.d) 164 | self.assertEqual(self.b, v) 165 | 166 | def test_in_back(self): 167 | v = Ease2.in_back(self.t, self.b, self.c, self.d) 168 | self.assertEqual(self.c + self.b, v) 169 | 170 | v = Ease2.in_back(self.t, self.c + self.b, -self.c, self.d) 171 | self.assertEqual(self.b, v) 172 | 173 | def test_out_back(self): 174 | v = Ease2.out_back(self.t, self.b, self.c, self.d) 175 | self.assertEqual(self.c + self.b, v) 176 | 177 | v = Ease2.out_back(self.t, self.c + self.b, -self.c, self.d) 178 | self.assertEqual(self.b, v) 179 | 180 | def test_in_out_back(self): 181 | v = Ease2.in_out_back(self.t, self.b, self.c, self.d) 182 | self.assertEqual(self.c + self.b, v) 183 | 184 | v = Ease2.in_out_back(self.t, self.c + self.b, -self.c, self.d) 185 | self.assertEqual(self.b, v) 186 | 187 | def test_in_elastic(self): 188 | v = Ease2.in_elastic(self.t, self.b, self.c, self.d) 189 | self.assertEqual(self.c + self.b, v) 190 | 191 | v = Ease2.in_elastic(self.t, self.c + self.b, -self.c, self.d) 192 | self.assertEqual(self.b, v) 193 | 194 | def test_out_elastic(self): 195 | v = Ease2.out_elastic(self.t, self.b, self.c, self.d) 196 | self.assertEqual(self.c + self.b, v) 197 | 198 | v = Ease2.out_elastic(self.t, self.c + self.b, -self.c, self.d) 199 | self.assertEqual(self.b, v) 200 | 201 | def test_in_out_elastic(self): 202 | v = Ease2.in_out_elastic(self.t, self.b, self.c, self.d) 203 | self.assertEqual(self.c + self.b, v) 204 | 205 | v = Ease2.in_out_elastic(self.t, self.c + self.b, -self.c, self.d) 206 | self.assertEqual(self.b, v) 207 | 208 | def test_in_bounce(self): 209 | v = Ease2.in_bounce(self.t, self.b, self.c, self.d) 210 | self.assertEqual(self.c + self.b, v) 211 | 212 | v = Ease2.in_bounce(self.t, self.c + self.b, -self.c, self.d) 213 | self.assertEqual(self.b, v) 214 | 215 | def test_out_bounce(self): 216 | v = Ease2.out_bounce(self.t, self.b, self.c, self.d) 217 | self.assertEqual(self.c + self.b, v) 218 | 219 | v = Ease2.out_bounce(self.t, self.c + self.b, -self.c, self.d) 220 | self.assertEqual(self.b, v) 221 | 222 | def test_in_out_bounce(self): 223 | v = Ease2.in_out_bounce(self.t, self.b, self.c, self.d) 224 | self.assertEqual(self.c + self.b, v) 225 | 226 | v = Ease2.in_out_bounce(self.t, self.c + self.b, -self.c, self.d) 227 | self.assertEqual(self.b, v) 228 | -------------------------------------------------------------------------------- /tween.py: -------------------------------------------------------------------------------- 1 | import time 2 | from enum import Enum, auto 3 | from ease import Ease 4 | from collections.abc import Callable 5 | 6 | 7 | class Easing(Enum): 8 | LINEAR = auto() 9 | SINE = auto() 10 | QUAD = auto() 11 | CUBIC = auto() 12 | QUART = auto() 13 | QUINT = auto() 14 | EXPO = auto() 15 | CIRC = auto() 16 | BACK = auto() 17 | ELASTIC = auto() 18 | BOUNCE = auto() 19 | 20 | 21 | class EasingMode(Enum): 22 | IN = auto() 23 | OUT = auto() 24 | IN_OUT = auto() 25 | 26 | 27 | class Tween: 28 | def __init__(self, 29 | begin: float = 0.0, end: float = 1.0, 30 | duration: int = 600, 31 | easing: Easing = Easing.LINEAR, 32 | easing_mode: EasingMode = EasingMode.IN, 33 | boomerang: bool = False, 34 | loop: bool = False, 35 | reps: int = 0): 36 | 37 | self._begin = begin 38 | self._origin = begin 39 | self._end = end 40 | self._duration = duration 41 | self._boomerang = boomerang 42 | self._loop = loop 43 | self._reps = reps 44 | self._count = 1 45 | 46 | self._easing = easing 47 | self._easing_mode = easing_mode 48 | 49 | self._pause_start = 0 50 | self._pause_dur = 0 51 | self._paused = False 52 | 53 | self._start_time = 0 54 | self._animating = False 55 | self._value = self._begin 56 | self._step = 0 57 | 58 | # Determine which function to use 59 | self._ease: Callable[[float], float] 60 | self._eval_func() 61 | 62 | def _eval_func(self): 63 | match self._easing: 64 | case Easing.SINE: 65 | match self._easing_mode: 66 | case EasingMode.IN: 67 | self._ease = Ease.in_sine 68 | case EasingMode.OUT: 69 | self._ease = Ease.out_sine 70 | case EasingMode.IN_OUT: 71 | self._ease = Ease.in_out_sine 72 | case Easing.QUAD: 73 | match self._easing_mode: 74 | case EasingMode.IN: 75 | self._ease = Ease.in_quad 76 | case EasingMode.OUT: 77 | self._ease = Ease.out_quad 78 | case EasingMode.IN_OUT: 79 | self._ease = Ease.in_out_quad 80 | case Easing.CUBIC: 81 | match self._easing_mode: 82 | case EasingMode.IN: 83 | self._ease = Ease.in_cubic 84 | case EasingMode.OUT: 85 | self._ease = Ease.out_cubic 86 | case EasingMode.IN_OUT: 87 | self._ease = Ease.in_out_cubic 88 | case Easing.QUART: 89 | match self._easing_mode: 90 | case EasingMode.IN: 91 | self._ease = Ease.in_quart 92 | case EasingMode.OUT: 93 | self._ease = Ease.out_quart 94 | case EasingMode.IN_OUT: 95 | self._ease = Ease.in_out_quart 96 | case Easing.QUINT: 97 | match self._easing_mode: 98 | case EasingMode.IN: 99 | self._ease = Ease.in_quint 100 | case EasingMode.OUT: 101 | self._ease = Ease.out_quint 102 | case EasingMode.IN_OUT: 103 | self._ease = Ease.in_out_quint 104 | case Easing.EXPO: 105 | match self._easing_mode: 106 | case EasingMode.IN: 107 | self._ease = Ease.in_expo 108 | case EasingMode.OUT: 109 | self._ease = Ease.out_expo 110 | case EasingMode.IN_OUT: 111 | self._ease = Ease.in_out_expo 112 | case Easing.CIRC: 113 | match self._easing_mode: 114 | case EasingMode.IN: 115 | self._ease = Ease.in_circ 116 | case EasingMode.OUT: 117 | self._ease = Ease.out_circ 118 | case EasingMode.IN_OUT: 119 | self._ease = Ease.in_out_circ 120 | case Easing.BACK: 121 | match self._easing_mode: 122 | case EasingMode.IN: 123 | self._ease = Ease.in_back 124 | case EasingMode.OUT: 125 | self._ease = Ease.out_back 126 | case EasingMode.IN_OUT: 127 | self._ease = Ease.in_out_back 128 | case Easing.ELASTIC: 129 | match self._easing_mode: 130 | case EasingMode.IN: 131 | self._ease = Ease.in_elastic 132 | case EasingMode.OUT: 133 | self._ease = Ease.out_elastic 134 | case EasingMode.IN_OUT: 135 | self._ease = Ease.in_out_elastic 136 | case Easing.BOUNCE: 137 | match self._easing_mode: 138 | case EasingMode.IN: 139 | self._ease = Ease.in_bounce 140 | case EasingMode.OUT: 141 | self._ease = Ease.out_bounce 142 | case EasingMode.IN_OUT: 143 | self._ease = Ease.in_out_bounce 144 | case _: 145 | self._ease = Ease.linear 146 | 147 | def start(self): 148 | if not self.animating: 149 | self._start_time = time.time() 150 | self._animating = True 151 | 152 | @property 153 | def easing_mode(self): 154 | return self._easing_mode 155 | 156 | @easing_mode.setter 157 | def easing_mode(self, value): 158 | self._easing_mode = value 159 | self._eval_func() 160 | 161 | @property 162 | def step(self): 163 | return self._step 164 | 165 | @property 166 | def value(self): 167 | return self._value 168 | 169 | @property 170 | def animating(self): 171 | return self._animating 172 | 173 | def pause(self): 174 | if not self._paused: 175 | self._paused = True 176 | self._pause_start = time.time() 177 | 178 | def resume(self): 179 | if self._paused: 180 | self._paused = False 181 | self._pause_dur = time.time() - self._pause_start 182 | self._start_time += self._pause_dur 183 | 184 | def update(self): 185 | if self.animating and not self._paused: 186 | this_time = time.time() 187 | elapsed = (this_time - self._start_time) * 1000.0 # convert to ms 188 | self._step = min(elapsed / self._duration, 1.0) 189 | delta = self._end - self._begin 190 | 191 | # Normalized version 192 | self._value = self._ease(self.step) * delta + self._begin 193 | # Absolute version 194 | # self._value = Ease2.linear(elapsed, self._begin, delta, self._duration) 195 | 196 | # Once this is the end of the animation state... 197 | if self.step == 1.0: 198 | if self._boomerang: 199 | self._start_time = this_time 200 | self._begin, self._end = self._end, self._begin 201 | 202 | if self.value == self._origin: 203 | if self._loop: 204 | self._do_loop() 205 | else: 206 | self._animating = False 207 | else: 208 | if self._loop: 209 | self._do_loop() 210 | else: 211 | self._animating = False 212 | 213 | def _do_loop(self): 214 | if self._reps == 0: 215 | self._animating = False 216 | self.start() 217 | else: 218 | if self._count < self._reps: 219 | self._count += 1 220 | self._animating = False 221 | self.start() 222 | else: 223 | self._count = 1 224 | self._animating = False 225 | --------------------------------------------------------------------------------