How to use dst method in wpt

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m4.js

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1/*2 * Copyright 2014, Gregg Tavares.3 * All rights reserved.4 *5 * Redistribution and use in source and binary forms, with or without6 * modification, are permitted provided that the following conditions are7 * met:8 *9 * * Redistributions of source code must retain the above copyright10 * notice, this list of conditions and the following disclaimer.11 * * Redistributions in binary form must reproduce the above12 * copyright notice, this list of conditions and the following disclaimer13 * in the documentation and/or other materials provided with the14 * distribution.15 * * Neither the name of Gregg Tavares. nor the names of his16 * contributors may be used to endorse or promote products derived from17 * this software without specific prior written permission.18 *19 * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS20 * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT21 * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR22 * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT23 * OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,24 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT25 * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,26 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY27 * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT28 * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE29 * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.30 */31/**32 * Various 3d math functions.33 *34 * @module webgl-3d-math35 */36(function(root, factory) { // eslint-disable-line37 if (typeof define === 'function' && define.amd) {38 // AMD. Register as an anonymous module.39 define([], factory);40 } else {41 // Browser globals42 root.m4 = factory();43 }44}(this, function() {45 "use strict";46 /**47 * An array or typed array with 3 values.48 * @typedef {number[]|TypedArray} Vector349 * @memberOf module:webgl-3d-math50 */51 /**52 * An array or typed array with 4 values.53 * @typedef {number[]|TypedArray} Vector454 * @memberOf module:webgl-3d-math55 */56 /**57 * An array or typed array with 16 values.58 * @typedef {number[]|TypedArray} Matrix459 * @memberOf module:webgl-3d-math60 */61 /**62 * Takes two 4-by-4 matrices, a and b, and computes the product in the order63 * that pre-composes b with a. In other words, the matrix returned will64 * transform by b first and then a. Note this is subtly different from just65 * multiplying the matrices together. For given a and b, this function returns66 * the same object in both row-major and column-major mode.67 * @param {Matrix4} a A matrix.68 * @param {Matrix4} b A matrix.69 * @param {Matrix4} [dst] optional matrix to store result70 * @return {Matrix4} dst or a new matrix if none provided71 */72 function multiply(a, b, dst) {73 dst = dst || new Float32Array(16);74 var b00 = b[0 * 4 + 0];75 var b01 = b[0 * 4 + 1];76 var b02 = b[0 * 4 + 2];77 var b03 = b[0 * 4 + 3];78 var b10 = b[1 * 4 + 0];79 var b11 = b[1 * 4 + 1];80 var b12 = b[1 * 4 + 2];81 var b13 = b[1 * 4 + 3];82 var b20 = b[2 * 4 + 0];83 var b21 = b[2 * 4 + 1];84 var b22 = b[2 * 4 + 2];85 var b23 = b[2 * 4 + 3];86 var b30 = b[3 * 4 + 0];87 var b31 = b[3 * 4 + 1];88 var b32 = b[3 * 4 + 2];89 var b33 = b[3 * 4 + 3];90 var a00 = a[0 * 4 + 0];91 var a01 = a[0 * 4 + 1];92 var a02 = a[0 * 4 + 2];93 var a03 = a[0 * 4 + 3];94 var a10 = a[1 * 4 + 0];95 var a11 = a[1 * 4 + 1];96 var a12 = a[1 * 4 + 2];97 var a13 = a[1 * 4 + 3];98 var a20 = a[2 * 4 + 0];99 var a21 = a[2 * 4 + 1];100 var a22 = a[2 * 4 + 2];101 var a23 = a[2 * 4 + 3];102 var a30 = a[3 * 4 + 0];103 var a31 = a[3 * 4 + 1];104 var a32 = a[3 * 4 + 2];105 var a33 = a[3 * 4 + 3];106 dst[ 0] = b00 * a00 + b01 * a10 + b02 * a20 + b03 * a30;107 dst[ 1] = b00 * a01 + b01 * a11 + b02 * a21 + b03 * a31;108 dst[ 2] = b00 * a02 + b01 * a12 + b02 * a22 + b03 * a32;109 dst[ 3] = b00 * a03 + b01 * a13 + b02 * a23 + b03 * a33;110 dst[ 4] = b10 * a00 + b11 * a10 + b12 * a20 + b13 * a30;111 dst[ 5] = b10 * a01 + b11 * a11 + b12 * a21 + b13 * a31;112 dst[ 6] = b10 * a02 + b11 * a12 + b12 * a22 + b13 * a32;113 dst[ 7] = b10 * a03 + b11 * a13 + b12 * a23 + b13 * a33;114 dst[ 8] = b20 * a00 + b21 * a10 + b22 * a20 + b23 * a30;115 dst[ 9] = b20 * a01 + b21 * a11 + b22 * a21 + b23 * a31;116 dst[10] = b20 * a02 + b21 * a12 + b22 * a22 + b23 * a32;117 dst[11] = b20 * a03 + b21 * a13 + b22 * a23 + b23 * a33;118 dst[12] = b30 * a00 + b31 * a10 + b32 * a20 + b33 * a30;119 dst[13] = b30 * a01 + b31 * a11 + b32 * a21 + b33 * a31;120 dst[14] = b30 * a02 + b31 * a12 + b32 * a22 + b33 * a32;121 dst[15] = b30 * a03 + b31 * a13 + b32 * a23 + b33 * a33;122 return dst;123 }124 /**125 * adds 2 vectors3s126 * @param {Vector3} a a127 * @param {Vector3} b b128 * @param {Vector3} dst optional vector3 to store result129 * @return {Vector3} dst or new Vector3 if not provided130 * @memberOf module:webgl-3d-math131 */132 function addVectors(a, b, dst) {133 dst = dst || new Float32Array(3);134 dst[0] = a[0] + b[0];135 dst[1] = a[1] + b[1];136 dst[2] = a[2] + b[2];137 return dst;138 }139 /**140 * subtracts 2 vectors3s141 * @param {Vector3} a a142 * @param {Vector3} b b143 * @param {Vector3} dst optional vector3 to store result144 * @return {Vector3} dst or new Vector3 if not provided145 * @memberOf module:webgl-3d-math146 */147 function subtractVectors(a, b, dst) {148 dst = dst || new Float32Array(3);149 dst[0] = a[0] - b[0];150 dst[1] = a[1] - b[1];151 dst[2] = a[2] - b[2];152 return dst;153 }154 /**155 * normalizes a vector.156 * @param {Vector3} v vector to normalzie157 * @param {Vector3} dst optional vector3 to store result158 * @return {Vector3} dst or new Vector3 if not provided159 * @memberOf module:webgl-3d-math160 */161 function normalize(v, dst) {162 dst = dst || new Float32Array(3);163 var length = Math.sqrt(v[0] * v[0] + v[1] * v[1] + v[2] * v[2]);164 // make sure we don't divide by 0.165 if (length > 0.00001) {166 dst[0] = v[0] / length;167 dst[1] = v[1] / length;168 dst[2] = v[2] / length;169 }170 return dst;171 }172 /**173 * Computes the cross product of 2 vectors3s174 * @param {Vector3} a a175 * @param {Vector3} b b176 * @param {Vector3} dst optional vector3 to store result177 * @return {Vector3} dst or new Vector3 if not provided178 * @memberOf module:webgl-3d-math179 */180 function cross(a, b, dst) {181 dst = dst || new Float32Array(3);182 dst[0] = a[1] * b[2] - a[2] * b[1];183 dst[1] = a[2] * b[0] - a[0] * b[2];184 dst[2] = a[0] * b[1] - a[1] * b[0];185 return dst;186 }187 /**188 * Computes the dot product of two vectors; assumes both vectors have189 * three entries.190 * @param {Vector3} a Operand vector.191 * @param {Vector3} b Operand vector.192 * @return {number} dot product193 * @memberOf module:webgl-3d-math194 */195 function dot(a, b) {196 return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);197 }198 /**199 * Computes the distance squared between 2 points200 * @param {Vector3} a201 * @param {Vector3} b202 * @return {nubmer} distance squared between a and b203 */204 function distanceSq(a, b) {205 const dx = a[0] - b[0];206 const dy = a[1] - b[1];207 const dz = a[2] - b[2];208 return dx * dx + dy * dy + dz * dz;209 }210 /**211 * Computes the distance between 2 points212 * @param {Vector3} a213 * @param {Vector3} b214 * @return {nubmer} distance between a and b215 */216 function distance(a, b) {217 return Math.sqrt(distanceSq(a, b));218 }219 /**220 * Makes an identity matrix.221 * @param {Matrix4} [dst] optional matrix to store result222 * @return {Matrix4} dst or a new matrix if none provided223 * @memberOf module:webgl-3d-math224 */225 function identity(dst) {226 dst = dst || new Float32Array(16);227 dst[ 0] = 1;228 dst[ 1] = 0;229 dst[ 2] = 0;230 dst[ 3] = 0;231 dst[ 4] = 0;232 dst[ 5] = 1;233 dst[ 6] = 0;234 dst[ 7] = 0;235 dst[ 8] = 0;236 dst[ 9] = 0;237 dst[10] = 1;238 dst[11] = 0;239 dst[12] = 0;240 dst[13] = 0;241 dst[14] = 0;242 dst[15] = 1;243 return dst;244 }245 /**246 * Transposes a matrix.247 * @param {Matrix4} m matrix to transpose.248 * @param {Matrix4} [dst] optional matrix to store result249 * @return {Matrix4} dst or a new matrix if none provided250 * @memberOf module:webgl-3d-math251 */252 function transpose(m, dst) {253 dst = dst || new Float32Array(16);254 dst[ 0] = m[0];255 dst[ 1] = m[4];256 dst[ 2] = m[8];257 dst[ 3] = m[12];258 dst[ 4] = m[1];259 dst[ 5] = m[5];260 dst[ 6] = m[9];261 dst[ 7] = m[13];262 dst[ 8] = m[2];263 dst[ 9] = m[6];264 dst[10] = m[10];265 dst[11] = m[14];266 dst[12] = m[3];267 dst[13] = m[7];268 dst[14] = m[11];269 dst[15] = m[15];270 return dst;271 }272 /**273 * Creates a lookAt matrix.274 * This is a world matrix for a camera. In other words it will transform275 * from the origin to a place and orientation in the world. For a view276 * matrix take the inverse of this.277 * @param {Vector3} cameraPosition position of the camera278 * @param {Vector3} target position of the target279 * @param {Vector3} up direction280 * @param {Matrix4} [dst] optional matrix to store result281 * @return {Matrix4} dst or a new matrix if none provided282 * @memberOf module:webgl-3d-math283 */284 function lookAt(cameraPosition, target, up, dst) {285 dst = dst || new Float32Array(16);286 var zAxis = normalize(287 subtractVectors(cameraPosition, target));288 var xAxis = normalize(cross(up, zAxis));289 var yAxis = normalize(cross(zAxis, xAxis));290 dst[ 0] = xAxis[0];291 dst[ 1] = xAxis[1];292 dst[ 2] = xAxis[2];293 dst[ 3] = 0;294 dst[ 4] = yAxis[0];295 dst[ 5] = yAxis[1];296 dst[ 6] = yAxis[2];297 dst[ 7] = 0;298 dst[ 8] = zAxis[0];299 dst[ 9] = zAxis[1];300 dst[10] = zAxis[2];301 dst[11] = 0;302 dst[12] = cameraPosition[0];303 dst[13] = cameraPosition[1];304 dst[14] = cameraPosition[2];305 dst[15] = 1;306 return dst;307 }308 /**309 * Computes a 4-by-4 perspective transformation matrix given the angular height310 * of the frustum, the aspect ratio, and the near and far clipping planes. The311 * arguments define a frustum extending in the negative z direction. The given312 * angle is the vertical angle of the frustum, and the horizontal angle is313 * determined to produce the given aspect ratio. The arguments near and far are314 * the distances to the near and far clipping planes. Note that near and far315 * are not z coordinates, but rather they are distances along the negative316 * z-axis. The matrix generated sends the viewing frustum to the unit box.317 * We assume a unit box extending from -1 to 1 in the x and y dimensions and318 * from -1 to 1 in the z dimension.319 * @param {number} fieldOfViewInRadians field of view in y axis.320 * @param {number} aspect aspect of viewport (width / height)321 * @param {number} near near Z clipping plane322 * @param {number} far far Z clipping plane323 * @param {Matrix4} [dst] optional matrix to store result324 * @return {Matrix4} dst or a new matrix if none provided325 * @memberOf module:webgl-3d-math326 */327 function perspective(fieldOfViewInRadians, aspect, near, far, dst) {328 dst = dst || new Float32Array(16);329 var f = Math.tan(Math.PI * 0.5 - 0.5 * fieldOfViewInRadians);330 var rangeInv = 1.0 / (near - far);331 dst[ 0] = f / aspect;332 dst[ 1] = 0;333 dst[ 2] = 0;334 dst[ 3] = 0;335 dst[ 4] = 0;336 dst[ 5] = f;337 dst[ 6] = 0;338 dst[ 7] = 0;339 dst[ 8] = 0;340 dst[ 9] = 0;341 dst[10] = (near + far) * rangeInv;342 dst[11] = -1;343 dst[12] = 0;344 dst[13] = 0;345 dst[14] = near * far * rangeInv * 2;346 dst[15] = 0;347 return dst;348 }349 /**350 * Computes a 4-by-4 orthographic projection matrix given the coordinates of the351 * planes defining the axis-aligned, box-shaped viewing volume. The matrix352 * generated sends that box to the unit box. Note that although left and right353 * are x coordinates and bottom and top are y coordinates, near and far354 * are not z coordinates, but rather they are distances along the negative355 * z-axis. We assume a unit box extending from -1 to 1 in the x and y356 * dimensions and from -1 to 1 in the z dimension.357 * @param {number} left The x coordinate of the left plane of the box.358 * @param {number} right The x coordinate of the right plane of the box.359 * @param {number} bottom The y coordinate of the bottom plane of the box.360 * @param {number} top The y coordinate of the right plane of the box.361 * @param {number} near The negative z coordinate of the near plane of the box.362 * @param {number} far The negative z coordinate of the far plane of the box.363 * @param {Matrix4} [dst] optional matrix to store result364 * @return {Matrix4} dst or a new matrix if none provided365 * @memberOf module:webgl-3d-math366 */367 function orthographic(left, right, bottom, top, near, far, dst) {368 dst = dst || new Float32Array(16);369 dst[ 0] = 2 / (right - left);370 dst[ 1] = 0;371 dst[ 2] = 0;372 dst[ 3] = 0;373 dst[ 4] = 0;374 dst[ 5] = 2 / (top - bottom);375 dst[ 6] = 0;376 dst[ 7] = 0;377 dst[ 8] = 0;378 dst[ 9] = 0;379 dst[10] = 2 / (far - near);380 dst[11] = 0;381 dst[12] = (left + right) / (left - right);382 dst[13] = (bottom + top) / (bottom - top);383 dst[14] = (near + far) / (near - far);384 dst[15] = 1;385 return dst;386 }387 /**388 * Computes a 4-by-4 perspective transformation matrix given the left, right,389 * top, bottom, near and far clipping planes. The arguments define a frustum390 * extending in the negative z direction. The arguments near and far are the391 * distances to the near and far clipping planes. Note that near and far are not392 * z coordinates, but rather they are distances along the negative z-axis. The393 * matrix generated sends the viewing frustum to the unit box. We assume a unit394 * box extending from -1 to 1 in the x and y dimensions and from -1 to 1 in the z395 * dimension.396 * @param {number} left The x coordinate of the left plane of the box.397 * @param {number} right The x coordinate of the right plane of the box.398 * @param {number} bottom The y coordinate of the bottom plane of the box.399 * @param {number} top The y coordinate of the right plane of the box.400 * @param {number} near The negative z coordinate of the near plane of the box.401 * @param {number} far The negative z coordinate of the far plane of the box.402 * @param {Matrix4} [dst] optional matrix to store result403 * @return {Matrix4} dst or a new matrix if none provided404 * @memberOf module:webgl-3d-math405 */406 function frustum(left, right, bottom, top, near, far) {407 var dx = right - left;408 var dy = top - bottom;409 var dz = far - near;410 dst[ 0] = 2 * near / dx;411 dst[ 1] = 0;412 dst[ 2] = 0;413 dst[ 3] = 0;414 dst[ 4] = 0;415 dst[ 5] = 2 * near / dy;416 dst[ 6] = 0;417 dst[ 7] = 0;418 dst[ 8] = (left + right) / dx;419 dst[ 9] = (top + bottom) / dy;420 dst[10] = -(far + near) / dz;421 dst[11] = -1;422 dst[12] = 0;423 dst[13] = 0;424 dst[14] = -2 * near * far / dz;425 dst[15] = 0;426 return dst;427 }428 /**429 * Makes a translation matrix430 * @param {number} tx x translation.431 * @param {number} ty y translation.432 * @param {number} tz z translation.433 * @param {Matrix4} [dst] optional matrix to store result434 * @return {Matrix4} dst or a new matrix if none provided435 * @memberOf module:webgl-3d-math436 */437 function translation(tx, ty, tz, dst) {438 dst = dst || new Float32Array(16);439 dst[ 0] = 1;440 dst[ 1] = 0;441 dst[ 2] = 0;442 dst[ 3] = 0;443 dst[ 4] = 0;444 dst[ 5] = 1;445 dst[ 6] = 0;446 dst[ 7] = 0;447 dst[ 8] = 0;448 dst[ 9] = 0;449 dst[10] = 1;450 dst[11] = 0;451 dst[12] = tx;452 dst[13] = ty;453 dst[14] = tz;454 dst[15] = 1;455 return dst;456 }457 /**458 * Mutliply by translation matrix.459 * @param {Matrix4} m matrix to multiply460 * @param {number} tx x translation.461 * @param {number} ty y translation.462 * @param {number} tz z translation.463 * @param {Matrix4} [dst] optional matrix to store result464 * @return {Matrix4} dst or a new matrix if none provided465 * @memberOf module:webgl-3d-math466 */467 function translate(m, tx, ty, tz, dst) {468 // This is the optimized version of469 // return multiply(m, translation(tx, ty, tz), dst);470 dst = dst || new Float32Array(16);471 var m00 = m[0];472 var m01 = m[1];473 var m02 = m[2];474 var m03 = m[3];475 var m10 = m[1 * 4 + 0];476 var m11 = m[1 * 4 + 1];477 var m12 = m[1 * 4 + 2];478 var m13 = m[1 * 4 + 3];479 var m20 = m[2 * 4 + 0];480 var m21 = m[2 * 4 + 1];481 var m22 = m[2 * 4 + 2];482 var m23 = m[2 * 4 + 3];483 var m30 = m[3 * 4 + 0];484 var m31 = m[3 * 4 + 1];485 var m32 = m[3 * 4 + 2];486 var m33 = m[3 * 4 + 3];487 if (m !== dst) {488 dst[ 0] = m00;489 dst[ 1] = m01;490 dst[ 2] = m02;491 dst[ 3] = m03;492 dst[ 4] = m10;493 dst[ 5] = m11;494 dst[ 6] = m12;495 dst[ 7] = m13;496 dst[ 8] = m20;497 dst[ 9] = m21;498 dst[10] = m22;499 dst[11] = m23;500 }501 dst[12] = m00 * tx + m10 * ty + m20 * tz + m30;502 dst[13] = m01 * tx + m11 * ty + m21 * tz + m31;503 dst[14] = m02 * tx + m12 * ty + m22 * tz + m32;504 dst[15] = m03 * tx + m13 * ty + m23 * tz + m33;505 return dst;506 }507 /**508 * Makes an x rotation matrix509 * @param {number} angleInRadians amount to rotate510 * @param {Matrix4} [dst] optional matrix to store result511 * @return {Matrix4} dst or a new matrix if none provided512 * @memberOf module:webgl-3d-math513 */514 function xRotation(angleInRadians, dst) {515 dst = dst || new Float32Array(16);516 var c = Math.cos(angleInRadians);517 var s = Math.sin(angleInRadians);518 dst[ 0] = 1;519 dst[ 1] = 0;520 dst[ 2] = 0;521 dst[ 3] = 0;522 dst[ 4] = 0;523 dst[ 5] = c;524 dst[ 6] = s;525 dst[ 7] = 0;526 dst[ 8] = 0;527 dst[ 9] = -s;528 dst[10] = c;529 dst[11] = 0;530 dst[12] = 0;531 dst[13] = 0;532 dst[14] = 0;533 dst[15] = 1;534 return dst;535 }536 /**537 * Multiply by an x rotation matrix538 * @param {Matrix4} m matrix to multiply539 * @param {number} angleInRadians amount to rotate540 * @param {Matrix4} [dst] optional matrix to store result541 * @return {Matrix4} dst or a new matrix if none provided542 * @memberOf module:webgl-3d-math543 */544 function xRotate(m, angleInRadians, dst) {545 // this is the optimized version of546 // return multiply(m, xRotation(angleInRadians), dst);547 dst = dst || new Float32Array(16);548 var m10 = m[4];549 var m11 = m[5];550 var m12 = m[6];551 var m13 = m[7];552 var m20 = m[8];553 var m21 = m[9];554 var m22 = m[10];555 var m23 = m[11];556 var c = Math.cos(angleInRadians);557 var s = Math.sin(angleInRadians);558 dst[4] = c * m10 + s * m20;559 dst[5] = c * m11 + s * m21;560 dst[6] = c * m12 + s * m22;561 dst[7] = c * m13 + s * m23;562 dst[8] = c * m20 - s * m10;563 dst[9] = c * m21 - s * m11;564 dst[10] = c * m22 - s * m12;565 dst[11] = c * m23 - s * m13;566 if (m !== dst) {567 dst[ 0] = m[ 0];568 dst[ 1] = m[ 1];569 dst[ 2] = m[ 2];570 dst[ 3] = m[ 3];571 dst[12] = m[12];572 dst[13] = m[13];573 dst[14] = m[14];574 dst[15] = m[15];575 }576 return dst;577 }578 /**579 * Makes an y rotation matrix580 * @param {number} angleInRadians amount to rotate581 * @param {Matrix4} [dst] optional matrix to store result582 * @return {Matrix4} dst or a new matrix if none provided583 * @memberOf module:webgl-3d-math584 */585 function yRotation(angleInRadians, dst) {586 dst = dst || new Float32Array(16);587 var c = Math.cos(angleInRadians);588 var s = Math.sin(angleInRadians);589 dst[ 0] = c;590 dst[ 1] = 0;591 dst[ 2] = -s;592 dst[ 3] = 0;593 dst[ 4] = 0;594 dst[ 5] = 1;595 dst[ 6] = 0;596 dst[ 7] = 0;597 dst[ 8] = s;598 dst[ 9] = 0;599 dst[10] = c;600 dst[11] = 0;601 dst[12] = 0;602 dst[13] = 0;603 dst[14] = 0;604 dst[15] = 1;605 return dst;606 }607 /**608 * Multiply by an y rotation matrix609 * @param {Matrix4} m matrix to multiply610 * @param {number} angleInRadians amount to rotate611 * @param {Matrix4} [dst] optional matrix to store result612 * @return {Matrix4} dst or a new matrix if none provided613 * @memberOf module:webgl-3d-math614 */615 function yRotate(m, angleInRadians, dst) {616 // this is the optimized verison of617 // return multiply(m, yRotation(angleInRadians), dst);618 dst = dst || new Float32Array(16);619 var m00 = m[0 * 4 + 0];620 var m01 = m[0 * 4 + 1];621 var m02 = m[0 * 4 + 2];622 var m03 = m[0 * 4 + 3];623 var m20 = m[2 * 4 + 0];624 var m21 = m[2 * 4 + 1];625 var m22 = m[2 * 4 + 2];626 var m23 = m[2 * 4 + 3];627 var c = Math.cos(angleInRadians);628 var s = Math.sin(angleInRadians);629 dst[ 0] = c * m00 - s * m20;630 dst[ 1] = c * m01 - s * m21;631 dst[ 2] = c * m02 - s * m22;632 dst[ 3] = c * m03 - s * m23;633 dst[ 8] = c * m20 + s * m00;634 dst[ 9] = c * m21 + s * m01;635 dst[10] = c * m22 + s * m02;636 dst[11] = c * m23 + s * m03;637 if (m !== dst) {638 dst[ 4] = m[ 4];639 dst[ 5] = m[ 5];640 dst[ 6] = m[ 6];641 dst[ 7] = m[ 7];642 dst[12] = m[12];643 dst[13] = m[13];644 dst[14] = m[14];645 dst[15] = m[15];646 }647 return dst;648 }649 /**650 * Makes an z rotation matrix651 * @param {number} angleInRadians amount to rotate652 * @param {Matrix4} [dst] optional matrix to store result653 * @return {Matrix4} dst or a new matrix if none provided654 * @memberOf module:webgl-3d-math655 */656 function zRotation(angleInRadians, dst) {657 dst = dst || new Float32Array(16);658 var c = Math.cos(angleInRadians);659 var s = Math.sin(angleInRadians);660 dst[ 0] = c;661 dst[ 1] = s;662 dst[ 2] = 0;663 dst[ 3] = 0;664 dst[ 4] = -s;665 dst[ 5] = c;666 dst[ 6] = 0;667 dst[ 7] = 0;668 dst[ 8] = 0;669 dst[ 9] = 0;670 dst[10] = 1;671 dst[11] = 0;672 dst[12] = 0;673 dst[13] = 0;674 dst[14] = 0;675 dst[15] = 1;676 return dst;677 }678 /**679 * Multiply by an z rotation matrix680 * @param {Matrix4} m matrix to multiply681 * @param {number} angleInRadians amount to rotate682 * @param {Matrix4} [dst] optional matrix to store result683 * @return {Matrix4} dst or a new matrix if none provided684 * @memberOf module:webgl-3d-math685 */686 function zRotate(m, angleInRadians, dst) {687 // This is the optimized verison of688 // return multiply(m, zRotation(angleInRadians), dst);689 dst = dst || new Float32Array(16);690 var m00 = m[0 * 4 + 0];691 var m01 = m[0 * 4 + 1];692 var m02 = m[0 * 4 + 2];693 var m03 = m[0 * 4 + 3];694 var m10 = m[1 * 4 + 0];695 var m11 = m[1 * 4 + 1];696 var m12 = m[1 * 4 + 2];697 var m13 = m[1 * 4 + 3];698 var c = Math.cos(angleInRadians);699 var s = Math.sin(angleInRadians);700 dst[ 0] = c * m00 + s * m10;701 dst[ 1] = c * m01 + s * m11;702 dst[ 2] = c * m02 + s * m12;703 dst[ 3] = c * m03 + s * m13;704 dst[ 4] = c * m10 - s * m00;705 dst[ 5] = c * m11 - s * m01;706 dst[ 6] = c * m12 - s * m02;707 dst[ 7] = c * m13 - s * m03;708 if (m !== dst) {709 dst[ 8] = m[ 8];710 dst[ 9] = m[ 9];711 dst[10] = m[10];712 dst[11] = m[11];713 dst[12] = m[12];714 dst[13] = m[13];715 dst[14] = m[14];716 dst[15] = m[15];717 }718 return dst;719 }720 /**721 * Makes an rotation matrix around an arbitrary axis722 * @param {Vector3} axis axis to rotate around723 * @param {number} angleInRadians amount to rotate724 * @param {Matrix4} [dst] optional matrix to store result725 * @return {Matrix4} dst or a new matrix if none provided726 * @memberOf module:webgl-3d-math727 */728 function axisRotation(axis, angleInRadians, dst) {729 dst = dst || new Float32Array(16);730 var x = axis[0];731 var y = axis[1];732 var z = axis[2];733 var n = Math.sqrt(x * x + y * y + z * z);734 x /= n;735 y /= n;736 z /= n;737 var xx = x * x;738 var yy = y * y;739 var zz = z * z;740 var c = Math.cos(angleInRadians);741 var s = Math.sin(angleInRadians);742 var oneMinusCosine = 1 - c;743 dst[ 0] = xx + (1 - xx) * c;744 dst[ 1] = x * y * oneMinusCosine + z * s;745 dst[ 2] = x * z * oneMinusCosine - y * s;746 dst[ 3] = 0;747 dst[ 4] = x * y * oneMinusCosine - z * s;748 dst[ 5] = yy + (1 - yy) * c;749 dst[ 6] = y * z * oneMinusCosine + x * s;750 dst[ 7] = 0;751 dst[ 8] = x * z * oneMinusCosine + y * s;752 dst[ 9] = y * z * oneMinusCosine - x * s;753 dst[10] = zz + (1 - zz) * c;754 dst[11] = 0;755 dst[12] = 0;756 dst[13] = 0;757 dst[14] = 0;758 dst[15] = 1;759 return dst;760 }761 /**762 * Multiply by an axis rotation matrix763 * @param {Matrix4} m matrix to multiply764 * @param {Vector3} axis axis to rotate around765 * @param {number} angleInRadians amount to rotate766 * @param {Matrix4} [dst] optional matrix to store result767 * @return {Matrix4} dst or a new matrix if none provided768 * @memberOf module:webgl-3d-math769 */770 function axisRotate(m, axis, angleInRadians, dst) {771 // This is the optimized verison of772 // return multiply(m, axisRotation(axis, angleInRadians), dst);773 dst = dst || new Float32Array(16);774 var x = axis[0];775 var y = axis[1];776 var z = axis[2];777 var n = Math.sqrt(x * x + y * y + z * z);778 x /= n;779 y /= n;780 z /= n;781 var xx = x * x;782 var yy = y * y;783 var zz = z * z;784 var c = Math.cos(angleInRadians);785 var s = Math.sin(angleInRadians);786 var oneMinusCosine = 1 - c;787 var r00 = xx + (1 - xx) * c;788 var r01 = x * y * oneMinusCosine + z * s;789 var r02 = x * z * oneMinusCosine - y * s;790 var r10 = x * y * oneMinusCosine - z * s;791 var r11 = yy + (1 - yy) * c;792 var r12 = y * z * oneMinusCosine + x * s;793 var r20 = x * z * oneMinusCosine + y * s;794 var r21 = y * z * oneMinusCosine - x * s;795 var r22 = zz + (1 - zz) * c;796 var m00 = m[0];797 var m01 = m[1];798 var m02 = m[2];799 var m03 = m[3];800 var m10 = m[4];801 var m11 = m[5];802 var m12 = m[6];803 var m13 = m[7];804 var m20 = m[8];805 var m21 = m[9];806 var m22 = m[10];807 var m23 = m[11];808 dst[ 0] = r00 * m00 + r01 * m10 + r02 * m20;809 dst[ 1] = r00 * m01 + r01 * m11 + r02 * m21;810 dst[ 2] = r00 * m02 + r01 * m12 + r02 * m22;811 dst[ 3] = r00 * m03 + r01 * m13 + r02 * m23;812 dst[ 4] = r10 * m00 + r11 * m10 + r12 * m20;813 dst[ 5] = r10 * m01 + r11 * m11 + r12 * m21;814 dst[ 6] = r10 * m02 + r11 * m12 + r12 * m22;815 dst[ 7] = r10 * m03 + r11 * m13 + r12 * m23;816 dst[ 8] = r20 * m00 + r21 * m10 + r22 * m20;817 dst[ 9] = r20 * m01 + r21 * m11 + r22 * m21;818 dst[10] = r20 * m02 + r21 * m12 + r22 * m22;819 dst[11] = r20 * m03 + r21 * m13 + r22 * m23;820 if (m !== dst) {821 dst[12] = m[12];822 dst[13] = m[13];823 dst[14] = m[14];824 dst[15] = m[15];825 }826 return dst;827 }828 /**829 * Makes a scale matrix830 * @param {number} sx x scale.831 * @param {number} sy y scale.832 * @param {number} sz z scale.833 * @param {Matrix4} [dst] optional matrix to store result834 * @return {Matrix4} dst or a new matrix if none provided835 * @memberOf module:webgl-3d-math836 */837 function scaling(sx, sy, sz, dst) {838 dst = dst || new Float32Array(16);839 dst[ 0] = sx;840 dst[ 1] = 0;841 dst[ 2] = 0;842 dst[ 3] = 0;843 dst[ 4] = 0;844 dst[ 5] = sy;845 dst[ 6] = 0;846 dst[ 7] = 0;847 dst[ 8] = 0;848 dst[ 9] = 0;849 dst[10] = sz;850 dst[11] = 0;851 dst[12] = 0;852 dst[13] = 0;853 dst[14] = 0;854 dst[15] = 1;855 return dst;856 }857 /**858 * Multiply by a scaling matrix859 * @param {Matrix4} m matrix to multiply860 * @param {number} sx x scale.861 * @param {number} sy y scale.862 * @param {number} sz z scale.863 * @param {Matrix4} [dst] optional matrix to store result864 * @return {Matrix4} dst or a new matrix if none provided865 * @memberOf module:webgl-3d-math866 */867 function scale(m, sx, sy, sz, dst) {868 // This is the optimized verison of869 // return multiply(m, scaling(sx, sy, sz), dst);870 dst = dst || new Float32Array(16);871 dst[ 0] = sx * m[0 * 4 + 0];872 dst[ 1] = sx * m[0 * 4 + 1];873 dst[ 2] = sx * m[0 * 4 + 2];874 dst[ 3] = sx * m[0 * 4 + 3];875 dst[ 4] = sy * m[1 * 4 + 0];876 dst[ 5] = sy * m[1 * 4 + 1];877 dst[ 6] = sy * m[1 * 4 + 2];878 dst[ 7] = sy * m[1 * 4 + 3];879 dst[ 8] = sz * m[2 * 4 + 0];880 dst[ 9] = sz * m[2 * 4 + 1];881 dst[10] = sz * m[2 * 4 + 2];882 dst[11] = sz * m[2 * 4 + 3];883 if (m !== dst) {884 dst[12] = m[12];885 dst[13] = m[13];886 dst[14] = m[14];887 dst[15] = m[15];888 }889 return dst;890 }891 /**892 * Computes the inverse of a matrix.893 * @param {Matrix4} m matrix to compute inverse of894 * @param {Matrix4} [dst] optional matrix to store result895 * @return {Matrix4} dst or a new matrix if none provided896 * @memberOf module:webgl-3d-math897 */898 function inverse(m, dst) {899 dst = dst || new Float32Array(16);900 var m00 = m[0 * 4 + 0];901 var m01 = m[0 * 4 + 1];902 var m02 = m[0 * 4 + 2];903 var m03 = m[0 * 4 + 3];904 var m10 = m[1 * 4 + 0];905 var m11 = m[1 * 4 + 1];906 var m12 = m[1 * 4 + 2];907 var m13 = m[1 * 4 + 3];908 var m20 = m[2 * 4 + 0];909 var m21 = m[2 * 4 + 1];910 var m22 = m[2 * 4 + 2];911 var m23 = m[2 * 4 + 3];912 var m30 = m[3 * 4 + 0];913 var m31 = m[3 * 4 + 1];914 var m32 = m[3 * 4 + 2];915 var m33 = m[3 * 4 + 3];916 var tmp_0 = m22 * m33;917 var tmp_1 = m32 * m23;918 var tmp_2 = m12 * m33;919 var tmp_3 = m32 * m13;920 var tmp_4 = m12 * m23;921 var tmp_5 = m22 * m13;922 var tmp_6 = m02 * m33;923 var tmp_7 = m32 * m03;924 var tmp_8 = m02 * m23;925 var tmp_9 = m22 * m03;926 var tmp_10 = m02 * m13;927 var tmp_11 = m12 * m03;928 var tmp_12 = m20 * m31;929 var tmp_13 = m30 * m21;930 var tmp_14 = m10 * m31;931 var tmp_15 = m30 * m11;932 var tmp_16 = m10 * m21;933 var tmp_17 = m20 * m11;934 var tmp_18 = m00 * m31;935 var tmp_19 = m30 * m01;936 var tmp_20 = m00 * m21;937 var tmp_21 = m20 * m01;938 var tmp_22 = m00 * m11;939 var tmp_23 = m10 * m01;940 var t0 = (tmp_0 * m11 + tmp_3 * m21 + tmp_4 * m31) -941 (tmp_1 * m11 + tmp_2 * m21 + tmp_5 * m31);942 var t1 = (tmp_1 * m01 + tmp_6 * m21 + tmp_9 * m31) -943 (tmp_0 * m01 + tmp_7 * m21 + tmp_8 * m31);944 var t2 = (tmp_2 * m01 + tmp_7 * m11 + tmp_10 * m31) -945 (tmp_3 * m01 + tmp_6 * m11 + tmp_11 * m31);946 var t3 = (tmp_5 * m01 + tmp_8 * m11 + tmp_11 * m21) -947 (tmp_4 * m01 + tmp_9 * m11 + tmp_10 * m21);948 var d = 1.0 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);949 dst[0] = d * t0;950 dst[1] = d * t1;951 dst[2] = d * t2;952 dst[3] = d * t3;953 dst[4] = d * ((tmp_1 * m10 + tmp_2 * m20 + tmp_5 * m30) -954 (tmp_0 * m10 + tmp_3 * m20 + tmp_4 * m30));955 dst[5] = d * ((tmp_0 * m00 + tmp_7 * m20 + tmp_8 * m30) -956 (tmp_1 * m00 + tmp_6 * m20 + tmp_9 * m30));957 dst[6] = d * ((tmp_3 * m00 + tmp_6 * m10 + tmp_11 * m30) -958 (tmp_2 * m00 + tmp_7 * m10 + tmp_10 * m30));959 dst[7] = d * ((tmp_4 * m00 + tmp_9 * m10 + tmp_10 * m20) -960 (tmp_5 * m00 + tmp_8 * m10 + tmp_11 * m20));961 dst[8] = d * ((tmp_12 * m13 + tmp_15 * m23 + tmp_16 * m33) -962 (tmp_13 * m13 + tmp_14 * m23 + tmp_17 * m33));963 dst[9] = d * ((tmp_13 * m03 + tmp_18 * m23 + tmp_21 * m33) -964 (tmp_12 * m03 + tmp_19 * m23 + tmp_20 * m33));965 dst[10] = d * ((tmp_14 * m03 + tmp_19 * m13 + tmp_22 * m33) -966 (tmp_15 * m03 + tmp_18 * m13 + tmp_23 * m33));967 dst[11] = d * ((tmp_17 * m03 + tmp_20 * m13 + tmp_23 * m23) -968 (tmp_16 * m03 + tmp_21 * m13 + tmp_22 * m23));969 dst[12] = d * ((tmp_14 * m22 + tmp_17 * m32 + tmp_13 * m12) -970 (tmp_16 * m32 + tmp_12 * m12 + tmp_15 * m22));971 dst[13] = d * ((tmp_20 * m32 + tmp_12 * m02 + tmp_19 * m22) -972 (tmp_18 * m22 + tmp_21 * m32 + tmp_13 * m02));973 dst[14] = d * ((tmp_18 * m12 + tmp_23 * m32 + tmp_15 * m02) -974 (tmp_22 * m32 + tmp_14 * m02 + tmp_19 * m12));975 dst[15] = d * ((tmp_22 * m22 + tmp_16 * m02 + tmp_21 * m12) -976 (tmp_20 * m12 + tmp_23 * m22 + tmp_17 * m02));977 return dst;978 }979 /**980 * Takes a matrix and a vector with 4 entries, transforms that vector by981 * the matrix, and returns the result as a vector with 4 entries.982 * @param {Matrix4} m The matrix.983 * @param {Vector4} v The point in homogenous coordinates.984 * @param {Vector4} dst optional vector4 to store result985 * @return {Vector4} dst or new Vector4 if not provided986 * @memberOf module:webgl-3d-math987 */988 function transformVector(m, v, dst) {989 dst = dst || new Float32Array(4);990 for (var i = 0; i < 4; ++i) {991 dst[i] = 0.0;992 for (var j = 0; j < 4; ++j) {993 dst[i] += v[j] * m[j * 4 + i];994 }995 }996 return dst;997 }998 /**999 * Takes a 4-by-4 matrix and a vector with 3 entries,1000 * interprets the vector as a point, transforms that point by the matrix, and1001 * returns the result as a vector with 3 entries.1002 * @param {Matrix4} m The matrix.1003 * @param {Vector3} v The point.1004 * @param {Vector4} dst optional vector4 to store result1005 * @return {Vector4} dst or new Vector4 if not provided1006 * @memberOf module:webgl-3d-math1007 */1008 function transformPoint(m, v, dst) {1009 dst = dst || new Float32Array(3);1010 var v0 = v[0];1011 var v1 = v[1];1012 var v2 = v[2];1013 var d = v0 * m[0 * 4 + 3] + v1 * m[1 * 4 + 3] + v2 * m[2 * 4 + 3] + m[3 * 4 + 3];1014 dst[0] = (v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0] + m[3 * 4 + 0]) / d;1015 dst[1] = (v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1] + m[3 * 4 + 1]) / d;1016 dst[2] = (v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2] + m[3 * 4 + 2]) / d;1017 return dst;1018 }1019 /**1020 * Takes a 4-by-4 matrix and a vector with 3 entries, interprets the vector as a1021 * direction, transforms that direction by the matrix, and returns the result;1022 * assumes the transformation of 3-dimensional space represented by the matrix1023 * is parallel-preserving, i.e. any combination of rotation, scaling and1024 * translation, but not a perspective distortion. Returns a vector with 31025 * entries.1026 * @param {Matrix4} m The matrix.1027 * @param {Vector3} v The direction.1028 * @param {Vector4} dst optional vector4 to store result1029 * @return {Vector4} dst or new Vector4 if not provided1030 * @memberOf module:webgl-3d-math1031 */1032 function transformDirection(m, v, dst) {1033 dst = dst || new Float32Array(3);1034 var v0 = v[0];1035 var v1 = v[1];1036 var v2 = v[2];1037 dst[0] = v0 * m[0 * 4 + 0] + v1 * m[1 * 4 + 0] + v2 * m[2 * 4 + 0];1038 dst[1] = v0 * m[0 * 4 + 1] + v1 * m[1 * 4 + 1] + v2 * m[2 * 4 + 1];1039 dst[2] = v0 * m[0 * 4 + 2] + v1 * m[1 * 4 + 2] + v2 * m[2 * 4 + 2];1040 return dst;1041 }1042 /**1043 * Takes a 4-by-4 matrix m and a vector v with 3 entries, interprets the vector1044 * as a normal to a surface, and computes a vector which is normal upon1045 * transforming that surface by the matrix. The effect of this function is the1046 * same as transforming v (as a direction) by the inverse-transpose of m. This1047 * function assumes the transformation of 3-dimensional space represented by the1048 * matrix is parallel-preserving, i.e. any combination of rotation, scaling and1049 * translation, but not a perspective distortion. Returns a vector with 31050 * entries.1051 * @param {Matrix4} m The matrix.1052 * @param {Vector3} v The normal.1053 * @param {Vector3} [dst] The direction.1054 * @return {Vector3} The transformed direction.1055 * @memberOf module:webgl-3d-math1056 */1057 function transformNormal(m, v, dst) {1058 dst = dst || new Float32Array(3);1059 var mi = inverse(m);1060 var v0 = v[0];1061 var v1 = v[1];1062 var v2 = v[2];1063 dst[0] = v0 * mi[0 * 4 + 0] + v1 * mi[0 * 4 + 1] + v2 * mi[0 * 4 + 2];1064 dst[1] = v0 * mi[1 * 4 + 0] + v1 * mi[1 * 4 + 1] + v2 * mi[1 * 4 + 2];1065 dst[2] = v0 * mi[2 * 4 + 0] + v1 * mi[2 * 4 + 1] + v2 * mi[2 * 4 + 2];1066 return dst;1067 }1068 function copy(src, dst) {1069 dst = dst || new Float32Array(16);1070 dst[ 0] = src[ 0];1071 dst[ 1] = src[ 1];1072 dst[ 2] = src[ 2];1073 dst[ 3] = src[ 3];1074 dst[ 4] = src[ 4];1075 dst[ 5] = src[ 5];1076 dst[ 6] = src[ 6];1077 dst[ 7] = src[ 7];1078 dst[ 8] = src[ 8];1079 dst[ 9] = src[ 9];1080 dst[10] = src[10];1081 dst[11] = src[11];1082 dst[12] = src[12];1083 dst[13] = src[13];1084 dst[14] = src[14];1085 dst[15] = src[15];1086 return dst;1087 }1088 return {1089 copy: copy,1090 lookAt: lookAt,1091 addVectors: addVectors,1092 subtractVectors: subtractVectors,1093 distance: distance,1094 distanceSq: distanceSq,1095 normalize: normalize,1096 cross: cross,1097 dot: dot,1098 identity: identity,1099 transpose: transpose,1100 orthographic: orthographic,1101 frustum: frustum,1102 perspective: perspective,1103 translation: translation,1104 translate: translate,1105 xRotation: xRotation,1106 yRotation: yRotation,1107 zRotation: zRotation,1108 xRotate: xRotate,1109 yRotate: yRotate,1110 zRotate: zRotate,1111 axisRotation: axisRotation,1112 axisRotate: axisRotate,1113 scaling: scaling,1114 scale: scale,1115 multiply: multiply,1116 inverse: inverse,1117 transformVector: transformVector,1118 transformPoint: transformPoint,1119 transformDirection: transformDirection,1120 transformNormal: transformNormal,1121 };...

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ummath.js

Source:ummath.js Github

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1/*jslint devel:true*/2(function () {3 "use strict";4 var UMVec3d,5 UMVec4d,6 UMMat44d,7 UMBox,8 EPSILON = 0.00001;9 UMVec3d = function (x, y, z) {10 this.xyz = [0.0, 0.0, 0.0];11 if (x && x instanceof Array) {12 this.xyz = x;13 } else {14 if (x) { this.xyz[0] = x; }15 if (y) { this.xyz[1] = y; }16 if (z) { this.xyz[2] = z; }17 }18 };19 UMVec3d.prototype.x = function () {20 return this.xyz[0];21 };22 UMVec3d.prototype.y = function () {23 return this.xyz[1];24 };25 UMVec3d.prototype.z = function () {26 return this.xyz[2];27 };28 UMVec3d.prototype.at = function (index) {29 return this.xyz[index];30 };31 UMVec3d.prototype.dot = function (v) {32 return this.xyz[0] * v.xyz[0] + this.xyz[1] * v.xyz[1] + this.xyz[2] * v.xyz[2];33 };34 UMVec3d.prototype.scale = function (s) {35 this.xyz[0] = this.xyz[0] * s;36 this.xyz[1] = this.xyz[1] * s;37 this.xyz[2] = this.xyz[2] * s;38 return this;39 };40 UMVec3d.prototype.cross = function (v) {41 return new UMVec3d(42 this.y() * v.z() - this.z() * v.y(),43 this.z() * v.x() - this.x() * v.z(),44 this.x() * v.y() - this.y() * v.x()45 );46 };47 UMVec3d.prototype.add = function (v) {48 return new UMVec3d(this.x() + v.x(), this.y() + v.y(), this.z() + v.z());49 };50 UMVec3d.prototype.sub = function (v) {51 return new UMVec3d(this.x() - v.x(), this.y() - v.y(), this.z() - v.z());52 };53 UMVec3d.prototype.multiply = function (v) {54 return new UMVec3d(this.x() * v.x(), this.y() * v.y(), this.z() * v.z());55 };56 UMVec3d.prototype.normalized = function () {57 var dst = new UMVec3d(this.x(), this.y(), this.z()),58 a = this.x() * this.x() + this.y() * this.y() + this.z() * this.z(),59 b;60 if (a > EPSILON) {61 b = 1.0 / Math.sqrt(a);62 dst.xyz[0] = this.x() * b;63 dst.xyz[1] = this.y() * b;64 dst.xyz[2] = this.z() * b;65 } else {66 dst.xyz[0] = dst.xyz[1] = dst.xyz[2] = 0;67 }68 return dst;69 };70 UMVec3d.prototype.length_sq = function () {71 return this.dot(this);72 };73 UMVec3d.prototype.length = function () {74 return Math.sqrt(this.length_sq());75 };76 //------------------------------------------------------------------------77 UMVec4d = function (x, y, z, w) {78 this.xyzw = [0.0, 0.0, 0.0, 0.0];79 if (x && x instanceof Array) {80 this.xyzw = x;81 } else {82 if (x) { this.xyzw[0] = x; }83 if (y) { this.xyzw[1] = y; }84 if (z) { this.xyzw[2] = z; }85 if (w) { this.xyzw[3] = w; }86 }87 };88 UMVec4d.prototype.x = function () {89 return this.xyzw[0];90 };91 UMVec4d.prototype.y = function () {92 return this.xyzw[1];93 };94 UMVec4d.prototype.z = function () {95 return this.xyzw[2];96 };97 UMVec4d.prototype.w = function () {98 return this.xyzw[3];99 };100 UMVec4d.prototype.at = function (index) {101 return this.xyzw[index];102 };103 UMVec4d.prototype.dot = function (v) {104 return this.xyzw[0] * v.xyzw[0] + this.xyzw[1] * v.xyzw[1] + this.xyzw[2] * v.xyzw[2] + this.xyzw[3] * v.xyzw[3];105 };106 UMVec4d.prototype.scale = function (s) {107 this.xyzw[0] = this.xyzw[0] * s;108 this.xyzw[1] = this.xyzw[1] * s;109 this.xyzw[2] = this.xyzw[2] * s;110 this.xyzw[3] = this.xyzw[3] * s;111 };112 UMVec4d.prototype.cross = function (v1, v2) {113 return new UMVec4d((this.y() * (v1.z() * v2.w() - v2.z() * v1.w())114 - this.z() * (v1.y() * v2.w() - v2.y() * v1.w())115 + this.w() * (v1.y() * v2.z() - v1.z() * v2.y())),116 -(this.x() * (v1.z() * v2.w() - v2.z() * v1.w())117 - this.z() * (v1.x() * v2.w() - v2.x() * v1.w())118 + this.w() * (v1.x() * v2.z() - v1.z() * v2.x())),119 (this.x() * (v1.y() * v2.w() - v2.y() * v1.w())120 - this.y() * (v1.x() * v2.w() - v2.x()) * v1.w()121 + this.w() * (v1.x() * v2.y() - v2.x() * v1.y())),122 -(this.x() * (v1.y() * v2.z() - v2.y() * v1.z())123 - this.y() * (v1.x() * v2.z() - v2.x() * v1.z())124 + this.z() * (v1.x() * v2.y() - v2.x() * v1.y()))125 );126 };127 UMVec4d.prototype.add = function (v) {128 if (v instanceof UMVec4d) {129 return new UMVec4d(this.x() + v.x(), this.y() + v.y(), this.z() + v.z(), this.w() + v.w());130 } else {131 return new UMVec3d(this.x() + v.x(), this.y() + v.y(), this.z() + v.z());132 }133 };134 UMVec4d.prototype.sub = function (v) {135 return new UMVec4d(this.x() - v.x(), this.y() - v.y(), this.z() - v.z(), this.w() - v.w());136 };137 UMVec4d.prototype.multiply = function (v) {138 return new UMVec4d(this.x() * v.x(), this.y() * v.y(), this.z() * v.z(), this.w() * v.w());139 };140 UMVec4d.prototype.normalized = function () {141 var dst = new UMVec4d(this.x(), this.y(), this.z(), this.w()),142 a = this.x() * this.x() + this.y() * this.y() + this.z() * this.z() + this.w() * this.w(),143 b;144 if (a > EPSILON) {145 b = 1.0 / Math.sqrt(a);146 dst.xyzw[0] = this.x() * b;147 dst.xyzw[1] = this.y() * b;148 dst.xyzw[2] = this.z() * b;149 dst.xyzw[3] = this.w() * b;150 } else {151 dst.xyzw[0] = dst.xyzw[1] = dst.xyzw[2] = dst.xyzw[3] = 0;152 }153 return dst;154 };155 UMVec4d.prototype.length_sq = function () {156 return this.dot(this);157 };158 UMVec4d.prototype.length = function () {159 return Math.sqrt(this.length_sq());160 };161 //------------------------------------------------------------------------162 UMMat44d = function (mat) {163 var i,164 k;165 this.m = [[0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0]];166 if (mat) {167 for (i = 0; i < 4; i = i + 1) {168 for (k = 0; k < 4; k = k + 1) {169 this.m[i][k] = mat.m[i][k];170 }171 }172 } else {173 for (i = 0; i < 4; i = i + 1) {174 for (k = 0; k < 4; k = k + 1) {175 this.m[i][k] = (i === k) ? 1 : 0;176 }177 }178 }179 };180 UMMat44d.prototype.value = function () {181 return [this.m[0][0], this.m[0][1], this.m[0][2], this.m[0][3],182 this.m[1][0], this.m[1][1], this.m[1][2], this.m[1][3],183 this.m[2][0], this.m[2][1], this.m[2][2], this.m[2][3],184 this.m[3][0], this.m[3][1], this.m[3][2], this.m[3][3]185 ];186 };187 UMMat44d.prototype.multiply = function (vecOrMat) {188 var i,189 j,190 k,191 tmp,192 dst;193 if (vecOrMat instanceof UMMat44d) {194 dst = new UMMat44d();195 for (i = 0; i < 4; i = i + 1) {196 for (j = 0; j < 4; j = j + 1) {197 dst.m[i][j] = 0.0;198 for (k = 0; k < 4; k = k + 1) {199 dst.m[i][j] += this.m[i][k] * vecOrMat.m[k][j];200 }201 }202 }203 } else if (vecOrMat instanceof UMVec4d) {204 tmp = [205 vecOrMat.at(0) * this.m[0][0] + vecOrMat.at(1) * this.m[1][0] + vecOrMat.at(2) * this.m[2][0] + vecOrMat.at(3) * this.m[3][0],206 vecOrMat.at(0) * this.m[0][1] + vecOrMat.at(1) * this.m[1][1] + vecOrMat.at(2) * this.m[2][1] + vecOrMat.at(3) * this.m[3][1],207 vecOrMat.at(0) * this.m[0][2] + vecOrMat.at(1) * this.m[1][2] + vecOrMat.at(2) * this.m[2][2] + vecOrMat.at(3) * this.m[3][2],208 vecOrMat.at(0) * this.m[0][3] + vecOrMat.at(1) * this.m[1][3] + vecOrMat.at(2) * this.m[2][3] + vecOrMat.at(3) * this.m[3][3]209 ];210 dst = new UMVec4d(tmp[0], tmp[1], tmp[2], tmp[3]);211 } else if (vecOrMat instanceof UMVec3d) {212 tmp = [213 vecOrMat.at(0) * this.m[0][0] + vecOrMat.at(1) * this.m[1][0] + vecOrMat.at(2) * this.m[2][0],214 vecOrMat.at(0) * this.m[0][1] + vecOrMat.at(1) * this.m[1][1] + vecOrMat.at(2) * this.m[2][1],215 vecOrMat.at(0) * this.m[0][2] + vecOrMat.at(1) * this.m[1][2] + vecOrMat.at(2) * this.m[2][2]216 ];217 dst = new UMVec3d(tmp[0], tmp[1], tmp[2]);218 }219 return dst;220 };221 UMMat44d.prototype.identity = function () {222 var i,223 k;224 for (i = 0; i < 4; i = i + 1) {225 for (k = 0; k < 4; k = k + 1) {226 this.m[i][k] = (i === k) ? 1 : 0;227 }228 }229 };230 UMMat44d.prototype.transposed = function () {231 var i,232 k,233 dst = new UMMat44d();234 for (i = 0; i < 4; i = i + 1) {235 for (k = 0; k < 4; k = k + 1) {236 dst.m[k][i] = this.m[i][k];237 }238 }239 return dst;240 };241 UMMat44d.prototype.determinant = function () {242 var temp_a = (this.m[2][2] * this.m[3][3]) - (this.m[2][3] * this.m[3][2]),243 temp_b = (this.m[2][1] * this.m[3][3]) - (this.m[2][3] * this.m[3][1]),244 temp_c = (this.m[2][1] * this.m[3][2]) - (this.m[2][2] * this.m[3][1]),245 temp_d = (this.m[2][0] * this.m[3][3]) - (this.m[2][3] * this.m[3][0]),246 temp_e = (this.m[2][0] * this.m[3][2]) - (this.m[2][2] * this.m[3][0]),247 temp_f = (this.m[2][0] * this.m[3][1]) - (this.m[2][1] * this.m[3][0]);248 return (this.m[0][0] * this.m[1][1]) * (temp_a)249 - (this.m[0][0] * this.m[1][2]) * (temp_b)250 + (this.m[0][0] * this.m[1][3]) * (temp_c)251 - (this.m[0][1] * this.m[1][0]) * (temp_a)252 + (this.m[0][1] * this.m[1][2]) * (temp_d)253 - (this.m[0][1] * this.m[1][3]) * (temp_e)254 + (this.m[0][2] * this.m[1][0]) * (temp_b)255 - (this.m[0][2] * this.m[1][1]) * (temp_d)256 + (this.m[0][2] * this.m[1][3]) * (temp_f)257 - (this.m[0][3] * this.m[1][0]) * (temp_c)258 + (this.m[0][3] * this.m[1][1]) * (temp_e)259 - (this.m[0][3] * this.m[1][2]) * (temp_f);260 };261 UMMat44d.prototype.inverted = function () {262 var dst = new UMMat44d(),263 vec = [new UMVec4d(), new UMVec4d(), new UMVec4d()],264 det = this.determinant(),265 i,266 j,267 k,268 a,269 v,270 rev_det;271 if (!det) { return dst; }272 for (i = 0; i < 4; i = i + 1) {273 for (j = 0; j < 4; j = j + 1) {274 if (j !== i) {275 a = j;276 if (j > i) { a = a - 1; }277 vec[a].xyzw[0] = this.m[j][0];278 vec[a].xyzw[1] = this.m[j][1];279 vec[a].xyzw[2] = this.m[j][2];280 vec[a].xyzw[3] = this.m[j][3];281 }282 }283 v = new UMVec4d(vec[0].xyzw[0], vec[0].xyzw[1], vec[0].xyzw[2], vec[0].xyzw[3]);284 v = v.cross(vec[1], vec[2]);285 rev_det = 1.0 / det;286 dst.m[0][i] = Math.pow(-1.0, i) * v.x() * rev_det;287 dst.m[1][i] = Math.pow(-1.0, i) * v.y() * rev_det;288 dst.m[2][i] = Math.pow(-1.0, i) * v.z() * rev_det;289 dst.m[3][i] = Math.pow(-1.0, i) * v.w() * rev_det;290 }291 return dst;292 };293 UMMat44d.prototype.translation = function () {294 return new UMVec3d(this.m[3][0], this.m[3][1], this.m[3][2]);295 };296 //------------------------------------------------------------------------297 /**298 * @param min UMVec3d299 * @param max UMVec3d300 */301 UMBox = function (min, max) {302 this.min_ = min;303 this.max_ = max;304 };305 UMBox.prototype.init = function () {306 this.set_min(new UMVec3d(Infinity, Infinity, Infinity));307 this.set_max(new UMVec3d(-Infinity, -Infinity, -Infinity));308 };309 UMBox.prototype.min = function () {310 return this.min_;311 };312 UMBox.prototype.max = function () {313 return this.max_;314 };315 UMBox.prototype.set_min = function (min) {316 this.min_ = min;317 };318 UMBox.prototype.set_max = function (max) {319 this.max_ = max;320 };321 UMBox.prototype.extend = function (val) {322 if (val instanceof Array) {323 this.min_.xyz[0] = Math.min(this.min_.xyz[0], val[0]);324 this.min_.xyz[1] = Math.min(this.min_.xyz[1], val[1]);325 this.min_.xyz[2] = Math.min(this.min_.xyz[2], val[2]);326 this.max_.xyz[0] = Math.max(this.max_.xyz[0], val[0]);327 this.max_.xyz[1] = Math.max(this.max_.xyz[1], val[1]);328 this.max_.xyz[2] = Math.max(this.max_.xyz[2], val[2]);329 } else if (val instanceof UMVec3d) {330 this.min_.xyz[0] = Math.min(this.min_.xyz[0], val.xyz[0]);331 this.min_.xyz[1] = Math.min(this.min_.xyz[1], val.xyz[1]);332 this.min_.xyz[2] = Math.min(this.min_.xyz[2], val.xyz[2]);333 this.max_.xyz[0] = Math.max(this.max_.xyz[0], val.xyz[0]);334 this.max_.xyz[1] = Math.max(this.max_.xyz[1], val.xyz[1]);335 this.max_.xyz[2] = Math.max(this.max_.xyz[2], val.xyz[2]);336 } else if (val instanceof UMBox){337 this.min_.xyz[0] = Math.min(this.min_.xyz[0], box.min_.xyz[0]);338 this.min_.xyz[1] = Math.min(this.min_.xyz[1], box.min_.xyz[1]);339 this.min_.xyz[2] = Math.min(this.min_.xyz[2], box.min_.xyz[2]);340 this.max_.xyz[0] = Math.max(this.max_.xyz[0], box.max_.xyz[0]);341 this.max_.xyz[1] = Math.max(this.max_.xyz[1], box.max_.xyz[1]);342 this.max_.xyz[2] = Math.max(this.max_.xyz[2], box.max_.xyz[2]);343 }344 };345 UMBox.prototype.center = function () {346 return new UMVec3d(347 (min_.xyz[0] + max_.xyz[0]) * 0.5,348 (min_.xyz[1] + max_.xyz[1]) * 0.5,349 (min_.xyz[2] + max_.xyz[2]) * 0.5350 )351 };352 UMBox.prototype.is_empty = function () {353 return min_.x >= max_.x || min_.y >= max_.y || min_.z >= max_.z;354 }355 /**356 * @param src UMMat44d357 */358 function um_matrix_to_euler_xyz(src) {359 var euler = new UMVec3d(),360 r00 = src.m[0][0],361 r01 = src.m[0][1],362 r02 = src.m[0][2],363 r10 = src.m[1][0],364 r11 = src.m[1][1],365 r12 = src.m[1][2],366 r20 = src.m[2][0],367 r21 = src.m[2][1],368 r22 = src.m[2][2];369 if (r02 < 1) {370 if (r02 > -1) {371 euler.xyz[1] = Math.asin(r02); // y372 euler.xyz[0] = Math.atan2(-r12, r22); // x373 euler.xyz[2] = Math.atan2(-r01, r00); // z374 } else {375 euler.xyz[1] = -Math.PI / 2.0; // y376 euler.xyz[0] = -Math.atan2(r10, r11); // x377 euler.xyz[2] = 0; // z378 }379 } else {380 euler.xyz[1] = Math.PI / 2.0; // y381 euler.xyz[0] = Math.atan2(r10, r11); // x382 euler.xyz[2] = 0; // z383 }384 return euler;385 }386 /**387 * @param src UMVec3d388 */389 function um_euler_to_matrix_xyz(src) {390 var dst = new UMMat44d(),391 cx = Math.cos(src.x()),392 cy = Math.cos(src.y()),393 cz = Math.cos(src.z()),394 sx = Math.sin(src.x()),395 sy = Math.sin(src.y()),396 sz = Math.sin(src.z());397 dst.m[0][0] = cy * cz;398 dst.m[0][1] = -cy * sz;399 dst.m[0][2] = sy;400 dst.m[1][0] = cz * sx * sy + cx * sz;401 dst.m[1][1] = cx * cz - sx * sy * sz;402 dst.m[1][2] = -cy * sx;403 dst.m[2][0] = -cx * cz * sy + sx * sz;404 dst.m[2][1] = cz * sx + cx * sy * sz;405 dst.m[2][2] = cx * cy;406 return dst;407 }408 /**409 * @param dst UMMat44d410 * @param w float411 * @param h float412 * @param zn float413 * @param zf float414 */415 function um_matrix_ortho_rh(dst, w, h, zn, zf) {416 dst.m[0][0] = 2 / w;417 dst.m[1][0] = 0.0;418 dst.m[2][0] = 0.0;419 dst.m[3][0] = 0.0;420 dst.m[0][1] = 0.0;421 dst.m[1][1] = 2 / h;422 dst.m[2][1] = 0.0;423 dst.m[3][1] = 0.0;424 dst.m[0][2] = 0.0;425 dst.m[1][2] = 0.0;426 dst.m[2][2] = 1 / (zn - zf);427 dst.m[3][2] = zn / (zn - zf);428 dst.m[0][3] = 0.0;429 dst.m[1][3] = 0.0;430 dst.m[2][3] = 0.0;431 dst.m[3][3] = 1.0;432 }433 /**434 * @param dst UMMat44d435 * @param w float436 * @param h float437 * @param zn float438 * @param zf float439 */440 function um_matrix_perspective_rh(dst, w, h, zn, zf) {441 dst.m[0][0] = 2 * zn / w;442 dst.m[1][0] = 0.0;443 dst.m[2][0] = 0.0;444 dst.m[3][0] = 0.0;445 dst.m[0][1] = 0.0;446 dst.m[1][1] = 2 * zn / h;447 dst.m[2][1] = 0.0;448 dst.m[3][1] = 0.0;449 dst.m[0][2] = 0.0;450 dst.m[1][2] = 0.0;451 dst.m[2][2] = zf / (zn - zf);452 dst.m[3][2] = zn * zf / (zn - zf);453 dst.m[0][3] = 0.0;454 dst.m[1][3] = 0.0;455 dst.m[2][3] = -1.0;456 dst.m[3][3] = 0.0;457 }458 /**459 * @param dst UMMat44d460 * @param fov_y float461 * @param aspect float462 * @param zn float463 * @param zf float464 */465 function um_matrix_perspective_fov_rh(dst, fov_y, aspect, zn, zf) {466 var h = 1.0 / Math.tan(fov_y / 2.0),467 w,468 zn_zf;469 if (EPSILON < Math.abs(aspect)) {470 w = h / aspect;471 } else {472 w = 0;473 }474 zn_zf = zn - zf;475 dst.m[0][0] = w;476 dst.m[1][0] = 0.0;477 dst.m[2][0] = 0.0;478 dst.m[3][0] = 0.0;479 dst.m[0][1] = 0.0;480 dst.m[1][1] = h;481 dst.m[2][1] = 0.0;482 dst.m[3][1] = 0.0;483 dst.m[0][2] = 0.0;484 dst.m[1][2] = 0.0;485 if ((zn_zf < -EPSILON) || (EPSILON < zn_zf)) {486 dst.m[2][2] = zf / zn_zf;487 dst.m[3][2] = zn * zf / zn_zf;488 } else {489 dst.m[2][2] = 0.0;490 dst.m[3][2] = 0.0;491 }492 dst.m[0][3] = 0.0;493 dst.m[1][3] = 0.0;494 dst.m[2][3] = -1.0;495 dst.m[3][3] = 0.0;496 }497 /**498 * @param dst UMMat44d499 * @param eye UMVec3d500 * @param at UMVec3d501 * @param up UMVec3d502 */503 function um_matrix_look_at_rh(dst, eye, at, up) {504 var zaxis = ((eye.sub(at)).normalized()),505 xaxis = ((up.cross(zaxis)).normalized()),506 yaxis = (zaxis.cross(xaxis));507 dst.m[0][0] = xaxis.x();508 dst.m[1][0] = xaxis.y();509 dst.m[2][0] = xaxis.z();510 dst.m[3][0] = -xaxis.dot(eye);511 dst.m[0][1] = yaxis.x();512 dst.m[1][1] = yaxis.y();513 dst.m[2][1] = yaxis.z();514 dst.m[3][1] = -yaxis.dot(eye);515 dst.m[0][2] = zaxis.x();516 dst.m[1][2] = zaxis.y();517 dst.m[2][2] = zaxis.z();518 dst.m[3][2] = -zaxis.dot(eye);519 dst.m[0][3] = 0.0;520 dst.m[1][3] = 0.0;521 dst.m[2][3] = 0.0;522 dst.m[3][3] = 1.0;523 }524 /**525 * convert degree to radian526 */527 function um_to_radian(degree) { return ((degree) * (Math.PI / 180.0)); }528 /**529 * convert radian to degree530 */531 function um_to_degree(radian) { return ((radian) * (180.0 / Math.PI)); }532 /**533 * signum534 */535 function um_sign(val) {536 return (0 < val) - (val < 0);537 }538 window.ummath = {};539 window.ummath.UMMat44d = UMMat44d;540 window.ummath.UMVec3d = UMVec3d;541 window.ummath.UMVec4d = UMVec4d;542 window.ummath.UMBox = UMBox;543 window.ummath.um_matrix_to_euler_xyz = um_matrix_to_euler_xyz;544 window.ummath.um_euler_to_matrix_xyz = um_euler_to_matrix_xyz;545 window.ummath.um_matrix_ortho_rh = um_matrix_ortho_rh;546 window.ummath.um_matrix_perspective_rh = um_matrix_perspective_rh;547 window.ummath.um_matrix_perspective_fov_rh = um_matrix_perspective_fov_rh;548 window.ummath.um_matrix_look_at_rh = um_matrix_look_at_rh;549 window.ummath.um_to_radian = um_to_radian;550 window.ummath.um_to_degree = um_to_degree;551 window.ummath.um_sign = um_sign;552 window.ummath.EPSILON = EPSILON;...

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matrix4.js

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1// more from 'tdl'2var $builtinmodule = function(name)3{4 var mod = {};5 var temp0v3_ = new Float32Array(3);6 var temp1v3_ = new Float32Array(3);7 var temp2v3_ = new Float32Array(3);8 var temp0v4_ = new Float32Array(4);9 var temp1v4_ = new Float32Array(4);10 var temp2v4_ = new Float32Array(4);11 var temp0m4_ = new Float32Array(16);12 var temp1m4_ = new Float32Array(16);13 var temp2m4_ = new Float32Array(16);14 var normalize = function(dst, a) {15 var n = 0.0;16 var aLength = a.length;17 for (var i = 0; i < aLength; ++i)18 n += a[i] * a[i];19 n = Math.sqrt(n);20 if (n > 0.00001) {21 for (var i = 0; i < aLength; ++i)22 dst[i] = a[i] / n;23 } else {24 for (var i = 0; i < aLength; ++i)25 dst[i] = 0;26 }27 return dst;28 };29 var cross = function(dst, a, b) {30 dst[0] = a[1] * b[2] - a[2] * b[1];31 dst[1] = a[2] * b[0] - a[0] * b[2];32 dst[2] = a[0] * b[1] - a[1] * b[0];33 return dst;34 };35 var subVector = function(dst, a, b) {36 var aLength = a.length;37 for (var i = 0; i < aLength; ++i)38 dst[i] = a[i] - b[i];39 return dst;40 };41 var dot = function(a, b) {42 return (a[0] * b[0]) + (a[1] * b[1]) + (a[2] * b[2]);43 };44 mod.lookAt = new Sk.builtin.func(function(view, eye, target, up)45 {46 var t0 = temp0v3_;47 var t1 = temp1v3_;48 var t2 = temp2v3_;49 var vz = normalize(t0, subVector(t0, eye.v, target.v));50 var vx = normalize(t1, cross(t1, up.v, vz));51 var vy = cross(t2, vz, vx);52 var dst = view.v;53 dst[ 0] = vx[0];54 dst[ 1] = vy[0];55 dst[ 2] = vz[0];56 dst[ 3] = 0;57 dst[ 4] = vx[1];58 dst[ 5] = vy[1];59 dst[ 6] = vz[1];60 dst[ 7] = 0;61 dst[ 8] = vx[2];62 dst[ 9] = vy[2];63 dst[10] = vz[2];64 dst[11] = 0;65 dst[12] = -dot(vx, eye.v);66 dst[13] = -dot(vy, eye.v);67 dst[14] = -dot(vz, eye.v);68 dst[15] = 1;69 return view;70 });71 mod.perspective = new Sk.builtin.func(function(proj, angle, aspect, near, far)72 {73 var f = Math.tan(Math.PI * 0.5 - 0.5 * (angle * Math.PI / 180));74 var rangeInv = 1.0 / (near - far);75 var dst = proj.v;76 dst[0] = f / aspect;77 dst[1] = 0;78 dst[2] = 0;79 dst[3] = 0;80 dst[4] = 0;81 dst[5] = f;82 dst[6] = 0;83 dst[7] = 0;84 dst[8] = 0;85 dst[9] = 0;86 dst[10] = (near + far) * rangeInv;87 dst[11] = -1;88 dst[12] = 0;89 dst[13] = 0;90 dst[14] = near * far * rangeInv * 2;91 dst[15] = 0;92 return proj;93 });94 // builds, not appending95 mod.rotationY = new Sk.builtin.func(function(target, angle)96 {97 var dst = target.v;98 var c = Math.cos(angle * Math.PI / 180);99 var s = Math.sin(angle * Math.PI / 180);100 dst[ 0] = c;101 dst[ 1] = 0;102 dst[ 2] = -s;103 dst[ 3] = 0;104 dst[ 4] = 0;105 dst[ 5] = 1;106 dst[ 6] = 0;107 dst[ 7] = 0;108 dst[ 8] = s;109 dst[ 9] = 0;110 dst[10] = c;111 dst[11] = 0;112 dst[12] = 0;113 dst[13] = 0;114 dst[14] = 0;115 dst[15] = 1;116 return target;117 });118 mod.identity = new Sk.builtin.func(function(target)119 {120 var dst = target.v;121 dst[ 0] = 1;122 dst[ 1] = 0;123 dst[ 2] = 0;124 dst[ 3] = 0;125 dst[ 4] = 0;126 dst[ 5] = 1;127 dst[ 6] = 0;128 dst[ 7] = 0;129 dst[ 8] = 0;130 dst[ 9] = 0;131 dst[10] = 1;132 dst[11] = 0;133 dst[12] = 0;134 dst[13] = 0;135 dst[14] = 0;136 dst[15] = 1;137 return target;138 });139 // row major140 mod.mul = new Sk.builtin.func(function(target, x, y)141 {142 var dst = target.v;143 var a = x.v;144 var b = y.v;145 var a00 = a[0];146 var a01 = a[1];147 var a02 = a[2];148 var a03 = a[3];149 var a10 = a[ 4 + 0];150 var a11 = a[ 4 + 1];151 var a12 = a[ 4 + 2];152 var a13 = a[ 4 + 3];153 var a20 = a[ 8 + 0];154 var a21 = a[ 8 + 1];155 var a22 = a[ 8 + 2];156 var a23 = a[ 8 + 3];157 var a30 = a[12 + 0];158 var a31 = a[12 + 1];159 var a32 = a[12 + 2];160 var a33 = a[12 + 3];161 var b00 = b[0];162 var b01 = b[1];163 var b02 = b[2];164 var b03 = b[3];165 var b10 = b[ 4 + 0];166 var b11 = b[ 4 + 1];167 var b12 = b[ 4 + 2];168 var b13 = b[ 4 + 3];169 var b20 = b[ 8 + 0];170 var b21 = b[ 8 + 1];171 var b22 = b[ 8 + 2];172 var b23 = b[ 8 + 3];173 var b30 = b[12 + 0];174 var b31 = b[12 + 1];175 var b32 = b[12 + 2];176 var b33 = b[12 + 3];177 dst[ 0] = a00 * b00 + a01 * b10 + a02 * b20 + a03 * b30;178 dst[ 1] = a00 * b01 + a01 * b11 + a02 * b21 + a03 * b31;179 dst[ 2] = a00 * b02 + a01 * b12 + a02 * b22 + a03 * b32;180 dst[ 3] = a00 * b03 + a01 * b13 + a02 * b23 + a03 * b33;181 dst[ 4] = a10 * b00 + a11 * b10 + a12 * b20 + a13 * b30;182 dst[ 5] = a10 * b01 + a11 * b11 + a12 * b21 + a13 * b31;183 dst[ 6] = a10 * b02 + a11 * b12 + a12 * b22 + a13 * b32;184 dst[ 7] = a10 * b03 + a11 * b13 + a12 * b23 + a13 * b33;185 dst[ 8] = a20 * b00 + a21 * b10 + a22 * b20 + a23 * b30;186 dst[ 9] = a20 * b01 + a21 * b11 + a22 * b21 + a23 * b31;187 dst[10] = a20 * b02 + a21 * b12 + a22 * b22 + a23 * b32;188 dst[11] = a20 * b03 + a21 * b13 + a22 * b23 + a23 * b33;189 dst[12] = a30 * b00 + a31 * b10 + a32 * b20 + a33 * b30;190 dst[13] = a30 * b01 + a31 * b11 + a32 * b21 + a33 * b31;191 dst[14] = a30 * b02 + a31 * b12 + a32 * b22 + a33 * b32;192 dst[15] = a30 * b03 + a31 * b13 + a32 * b23 + a33 * b33;193 return target;194 });195 mod.invert = new Sk.builtin.func(function(target, mat)196 {197 var dst = target.v;198 var m = mat.v;199 var m00 = m[0 * 4 + 0];200 var m01 = m[0 * 4 + 1];201 var m02 = m[0 * 4 + 2];202 var m03 = m[0 * 4 + 3];203 var m10 = m[1 * 4 + 0];204 var m11 = m[1 * 4 + 1];205 var m12 = m[1 * 4 + 2];206 var m13 = m[1 * 4 + 3];207 var m20 = m[2 * 4 + 0];208 var m21 = m[2 * 4 + 1];209 var m22 = m[2 * 4 + 2];210 var m23 = m[2 * 4 + 3];211 var m30 = m[3 * 4 + 0];212 var m31 = m[3 * 4 + 1];213 var m32 = m[3 * 4 + 2];214 var m33 = m[3 * 4 + 3];215 var tmp_0 = m22 * m33;216 var tmp_1 = m32 * m23;217 var tmp_2 = m12 * m33;218 var tmp_3 = m32 * m13;219 var tmp_4 = m12 * m23;220 var tmp_5 = m22 * m13;221 var tmp_6 = m02 * m33;222 var tmp_7 = m32 * m03;223 var tmp_8 = m02 * m23;224 var tmp_9 = m22 * m03;225 var tmp_10 = m02 * m13;226 var tmp_11 = m12 * m03;227 var tmp_12 = m20 * m31;228 var tmp_13 = m30 * m21;229 var tmp_14 = m10 * m31;230 var tmp_15 = m30 * m11;231 var tmp_16 = m10 * m21;232 var tmp_17 = m20 * m11;233 var tmp_18 = m00 * m31;234 var tmp_19 = m30 * m01;235 var tmp_20 = m00 * m21;236 var tmp_21 = m20 * m01;237 var tmp_22 = m00 * m11;238 var tmp_23 = m10 * m01;239 var t0 = (tmp_0 * m11 + tmp_3 * m21 + tmp_4 * m31) -240 (tmp_1 * m11 + tmp_2 * m21 + tmp_5 * m31);241 var t1 = (tmp_1 * m01 + tmp_6 * m21 + tmp_9 * m31) -242 (tmp_0 * m01 + tmp_7 * m21 + tmp_8 * m31);243 var t2 = (tmp_2 * m01 + tmp_7 * m11 + tmp_10 * m31) -244 (tmp_3 * m01 + tmp_6 * m11 + tmp_11 * m31);245 var t3 = (tmp_5 * m01 + tmp_8 * m11 + tmp_11 * m21) -246 (tmp_4 * m01 + tmp_9 * m11 + tmp_10 * m21);247 var d = 1.0 / (m00 * t0 + m10 * t1 + m20 * t2 + m30 * t3);248 dst[ 0] = d * t0;249 dst[ 1] = d * t1;250 dst[ 2] = d * t2;251 dst[ 3] = d * t3;252 dst[ 4] = d * ((tmp_1 * m10 + tmp_2 * m20 + tmp_5 * m30) -253 (tmp_0 * m10 + tmp_3 * m20 + tmp_4 * m30));254 dst[ 5] = d * ((tmp_0 * m00 + tmp_7 * m20 + tmp_8 * m30) -255 (tmp_1 * m00 + tmp_6 * m20 + tmp_9 * m30));256 dst[ 6] = d * ((tmp_3 * m00 + tmp_6 * m10 + tmp_11 * m30) -257 (tmp_2 * m00 + tmp_7 * m10 + tmp_10 * m30));258 dst[ 7] = d * ((tmp_4 * m00 + tmp_9 * m10 + tmp_10 * m20) -259 (tmp_5 * m00 + tmp_8 * m10 + tmp_11 * m20));260 dst[ 8] = d * ((tmp_12 * m13 + tmp_15 * m23 + tmp_16 * m33) -261 (tmp_13 * m13 + tmp_14 * m23 + tmp_17 * m33));262 dst[ 9] = d * ((tmp_13 * m03 + tmp_18 * m23 + tmp_21 * m33) -263 (tmp_12 * m03 + tmp_19 * m23 + tmp_20 * m33));264 dst[10] = d * ((tmp_14 * m03 + tmp_19 * m13 + tmp_22 * m33) -265 (tmp_15 * m03 + tmp_18 * m13 + tmp_23 * m33));266 dst[11] = d * ((tmp_17 * m03 + tmp_20 * m13 + tmp_23 * m23) -267 (tmp_16 * m03 + tmp_21 * m13 + tmp_22 * m23));268 dst[12] = d * ((tmp_14 * m22 + tmp_17 * m32 + tmp_13 * m12) -269 (tmp_16 * m32 + tmp_12 * m12 + tmp_15 * m22));270 dst[13] = d * ((tmp_20 * m32 + tmp_12 * m02 + tmp_19 * m22) -271 (tmp_18 * m22 + tmp_21 * m32 + tmp_13 * m02));272 dst[14] = d * ((tmp_18 * m12 + tmp_23 * m32 + tmp_15 * m02) -273 (tmp_22 * m32 + tmp_14 * m02 + tmp_19 * m12));274 dst[15] = d * ((tmp_22 * m22 + tmp_16 * m02 + tmp_21 * m12) -275 (tmp_20 * m12 + tmp_23 * m22 + tmp_17 * m02));276 return target;277 });278 mod.transpose = new Sk.builtin.func(function(target, mat)279 {280 var dst = target.v;281 var m = mat.v;282 for (var j = 0; j < 4; ++j) {283 for (var i = 0; i < 4; ++i)284 dst[j * 4 + i] = m[i * 4 + j];285 }286 return dst;287 });288 return mod;...

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solve.js

Source:solve.js Github

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1const fs = require('fs');2const axios = require('axios');3const QrCode = require('qrcode-reader');4const Jimp = require("jimp");5const Cube = require('cubejs');6require('cubejs/lib/solve.js');7Cube.initSolver();8const size = 82;9const host = 'http://qubicrube.pwn.seccon.jp:33654/';10let hash = '';11let n = 0;12function decodeQR(buf) {13 return new Promise((resolve, reject) => {14 Jimp.read(buf, (err, img) => {15 if (err != null) {16 return reject(err);17 }18 let qr = new QrCode();19 qr.callback = (err, value) => {20 if (err != null) {21 return reject(err);22 }23 return resolve(value);24 };25 qr.decode(img.bitmap);26 });27 });28}29function splitImage(buf) {30 return new Promise((resolve, reject) => {31 Jimp.read(buf, (err, img) => {32 if (err != null) {33 return reject(err);34 }35 resolve(img);36 });37 }).then(src => {38 tasks = [];39 for (let y = 0; y < 3; y++) {40 for (let x = 0; x < 3; x++) {41 tasks.push(new Promise((resolve, reject) => {42 let img = src.clone().crop(x * size, y * size, size, size);43 img.getBuffer(Jimp.MIME_PNG, (err, buf) => {44 if (err != null) {45 return reject(err);46 }47 resolve([buf, img]);48 });49 }));50 }51 }52 return Promise.all(tasks);53 });54}55function rotateRight(src) {56 return [57 src[6].rotate(90), src[3].rotate(90), src[0].rotate(90),58 src[7].rotate(90), src[4].rotate(90), src[1].rotate(90),59 src[8].rotate(90), src[5].rotate(90), src[2].rotate(90),60 ];61}62function rotate(src, move) {63 let dst = {64 U: [...src.U],65 R: [...src.R],66 F: [...src.F],67 D: [...src.D],68 L: [...src.L],69 B: [...src.B],70 };71 switch (move) {72 case 'R':73 dst['R'] = rotateRight(src['R']);74 dst['F'][2] = src['D'][2];75 dst['F'][5] = src['D'][5];76 dst['F'][8] = src['D'][8];77 dst['U'][2] = src['F'][2];78 dst['U'][5] = src['F'][5];79 dst['U'][8] = src['F'][8];80 dst['B'][6] = src['U'][2];81 dst['B'][3] = src['U'][5];82 dst['B'][0] = src['U'][8];83 dst['D'][2] = src['B'][6];84 dst['D'][5] = src['B'][3];85 dst['D'][8] = src['B'][0];86 dst['B'][6].rotate(180);87 dst['B'][3].rotate(180);88 dst['B'][0].rotate(180);89 dst['D'][2].rotate(180);90 dst['D'][5].rotate(180);91 dst['D'][8].rotate(180);92 break;93 case 'L':94 dst['L'] = rotateRight(src['L']);95 dst['B'][2] = src['D'][6];96 dst['B'][5] = src['D'][3];97 dst['B'][8] = src['D'][0];98 dst['U'][6] = src['B'][2];99 dst['U'][3] = src['B'][5];100 dst['U'][0] = src['B'][8];101 dst['F'][6] = src['U'][6];102 dst['F'][3] = src['U'][3];103 dst['F'][0] = src['U'][0];104 dst['D'][6] = src['F'][6];105 dst['D'][3] = src['F'][3];106 dst['D'][0] = src['F'][0];107 dst['B'][2].rotate(180);108 dst['B'][5].rotate(180);109 dst['B'][8].rotate(180);110 dst['U'][6].rotate(180);111 dst['U'][3].rotate(180);112 dst['U'][0].rotate(180);113 break;114 case 'U':115 dst['U'] = rotateRight(src['U']);116 dst['B'][0] = src['L'][0];117 dst['B'][1] = src['L'][1];118 dst['B'][2] = src['L'][2];119 dst['R'][0] = src['B'][0];120 dst['R'][1] = src['B'][1];121 dst['R'][2] = src['B'][2];122 dst['F'][0] = src['R'][0];123 dst['F'][1] = src['R'][1];124 dst['F'][2] = src['R'][2];125 dst['L'][0] = src['F'][0];126 dst['L'][1] = src['F'][1];127 dst['L'][2] = src['F'][2];128 break;129 case 'D':130 dst['D'] = rotateRight(src['D']);131 dst['L'][6] = src['B'][6];132 dst['L'][7] = src['B'][7];133 dst['L'][8] = src['B'][8];134 dst['F'][6] = src['L'][6];135 dst['F'][7] = src['L'][7];136 dst['F'][8] = src['L'][8];137 dst['R'][6] = src['F'][6];138 dst['R'][7] = src['F'][7];139 dst['R'][8] = src['F'][8];140 dst['B'][6] = src['R'][6];141 dst['B'][7] = src['R'][7];142 dst['B'][8] = src['R'][8];143 break;144 case 'F':145 dst['F'] = rotateRight(src['F']);146 dst['L'][2] = src['D'][0];147 dst['L'][5] = src['D'][1];148 dst['L'][8] = src['D'][2];149 dst['U'][8] = src['L'][2];150 dst['U'][7] = src['L'][5];151 dst['U'][6] = src['L'][8];152 dst['R'][6] = src['U'][8];153 dst['R'][3] = src['U'][7];154 dst['R'][0] = src['U'][6];155 dst['D'][0] = src['R'][6];156 dst['D'][1] = src['R'][3];157 dst['D'][2] = src['R'][0];158 dst['D'][0].rotate(90);159 dst['D'][1].rotate(90);160 dst['D'][2].rotate(90);161 dst['L'][2].rotate(90);162 dst['L'][5].rotate(90);163 dst['L'][8].rotate(90);164 dst['R'][6].rotate(90);165 dst['R'][3].rotate(90);166 dst['R'][0].rotate(90);167 dst['U'][8].rotate(90);168 dst['U'][7].rotate(90);169 dst['U'][6].rotate(90);170 break;171 case 'B':172 dst['B'] = rotateRight(src['B']);173 dst['R'][2] = src['D'][8];174 dst['R'][5] = src['D'][7];175 dst['R'][8] = src['D'][6];176 dst['U'][0] = src['R'][2];177 dst['U'][1] = src['R'][5];178 dst['U'][2] = src['R'][8];179 dst['L'][6] = src['U'][0];180 dst['L'][3] = src['U'][1];181 dst['L'][0] = src['U'][2];182 dst['D'][8] = src['L'][6];183 dst['D'][7] = src['L'][3];184 dst['D'][6] = src['L'][0];185 dst['R'][2].rotate(270);186 dst['R'][5].rotate(270);187 dst['R'][8].rotate(270);188 dst['U'][0].rotate(270);189 dst['U'][1].rotate(270);190 dst['U'][2].rotate(270);191 dst['D'][8].rotate(270);192 dst['D'][7].rotate(270);193 dst['D'][6].rotate(270);194 dst['L'][6].rotate(270);195 dst['L'][3].rotate(270);196 dst['L'][0].rotate(270);197 break;198 }199 return dst;200}201function solve(hash) {202 return axios.get(`${host}${hash}`)203 .then(resp => resp.data.match(/images\/\w+_[A-Z].png/g))204 .then(imgs => imgs.sort((a, b) => {205 let ac = a.slice(-5, -4);206 let bc = b.slice(-5, -4);207 const s = 'URFDLB';208 return s.indexOf(ac) - s.indexOf(bc);209 }))210 .then(imgs => imgs.map(img => axios.get(`${host}${img}`, {211 responseType: 'arraybuffer',212 }).then(resp => {213 fs.writeFileSync(`./${img}`, resp.data);214 return resp;215 })))216 .then(imgs => Promise.all(imgs))217 .then(imgs => {218 let cubeStr = [];219 let cubeMap = {220 U: [],221 R: [],222 F: [],223 D: [],224 L: [],225 B: [],226 };227 let colors = {};228 return Promise.all(imgs.map((resp, k) => splitImage(resp.data).then(imgs => {229 imgs.forEach(([buf, img], i) => {230 let dir = resp.request.path.slice(-5, -4);231 for (let j = 0; j < img.bitmap.data.length; j += 4) {232 let r = img.bitmap.data[j];233 let g = img.bitmap.data[j + 1];234 let b = img.bitmap.data[j + 2];235 let rgb = (r << 16) | (g << 8) | b;236 if (rgb == 0) {237 continue;238 }239 let color = rgb.toString(16);240 if (i == 4) {241 colors[color] = dir;242 }243 cubeStr[k * 9 + i] = color;244 cubeMap[dir][i] = img;245 break;246 }247 });248 }))).then(() => {249 cubeStr = cubeStr.map(c => colors[c]);250 let cube = Cube.fromString(cubeStr.join(''));251 let moves = process.argv[3];252 moves = moves || cube.solve();253 console.log(moves);254 moves.split(' ').forEach(move => {255 let n = 1;256 if (move[1] == '2') {257 n = 2;258 } else if (move[1] == "'") {259 n = 3;260 }261 for (let i = 0; i < n; i++) {262 cubeMap = rotate(cubeMap, move[0]);263 }264 });265 return Promise.all(Object.entries(cubeMap).map(p => {266 return new Promise((resolve, reject) => {267 new Jimp(size * 3, size * 3, (err, img) => {268 if (err != null) {269 return reject(err);270 }271 p[1].forEach((t, i) => img.composite(t, size * (i % 3), size * (i / 3 | 0)));272 let result = null;273 const fn = i => new Promise((resolve, reject) => {274 img.composite(p[1][4].rotate(i * 90), size, size);275 const d = img.bitmap.data;276 for (let i = 0; i < d.length; i += 4) {277 let c = d[i] | d[i + 1] | d[i + 2];278 d[i] = c ? 0xff : 0;279 d[i + 1] = c ? 0xff : 0;280 d[i + 2] = c ? 0xff : 0;281 }282 img.getBuffer(Jimp.MIME_PNG, (err, buf) => {283 if (err != null) {284 return reject(err);285 }286 fs.writeFileSync(`./images/${hash}-${p[0]}-${i}.png`, buf);287 decodeQR(buf).then(v => {288 fs.writeFileSync(`./images/${hash}-${p[0]}.png`, buf);289 result = v;290 return resolve();291 }, resolve);292 });293 });294 const ps = [];295 for (let i = 0; i < 4; i++) {296 ps.push(fn(i));297 }298 Promise.all(ps).then(() => resolve(result), reject);299 });300 });301 }));302 });303 return imgs;304 })305 .then(imgs => imgs.filter(img => img))306 .then(imgs => {307 let next = null;308 imgs.forEach(img => {309 if (img.result.indexOf(host) == 0) {310 next = img.result.slice(host.length)311 }312 if (img.result.indexOf('No.') == 0) {313 console.log(img.result);314 }315 });316 if (next == null) {317 console.log(imgs);318 throw new Error('faild to detect next URL');319 };320 console.log(`next URL: ${host}${next}`);321 return next;322 });323}324solve(process.argv[2].replace(/\s/g, ''))325 .then(solve)326 .then(solve)327 .then(solve)328 .then(solve)329 .then(solve)330 .then(solve)331 .then(solve)332 .then(solve)333 .then(solve)...

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gen.py

Source:gen.py Github

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1# Copyright (c) 2018 Viktor Vorobjov2import sys, os3path = "../../upy_main/tools/gen_tool"4gen_tool_path = os.path.abspath("{}/".format(path))5sys.path.append(gen_tool_path)6print(gen_tool_path)7from gen_tool import *8print("Gen libs")9path_ulib = "../../upy_main/micropython-lib"10path_emu = "../../upy_main/emu_lib"11path_core = "../../upy_main/ucore"12path_app_mod = "../../upy_main/umod"13work_path = "."14work_app_path = "./app"15work_core_path = "./core"16work_lib_path = "./lib"17work_mod_path = "./mod"18print("-- Path")19print(path_ulib)20print(work_path)21print(work_lib_path)22print("-- Start Gen Lib")23libs = (24# LIB PC25 # logging26 {27 "src_lib": path_ulib,28 "src_path": "logging/simple",29 "src": "logging.py",30 "dst_lib": work_lib_path,31 "dst_path": ""32 },33 # machine34 {35 "src_lib": path_emu,36 "src_path": "esp32/machine",37 "src": "__init__.py",38 "dst_lib": work_lib_path,39 "dst_path": "machine"40 },41 {42 "src_lib": path_emu,43 "src_path": "esp32/machine",44 "src": "emu_pin.py",45 "dst_lib": work_lib_path,46 "dst_path": "machine"47 },48 {49 "src_lib": path_emu,50 "src_path": "esp32/machine",51 "src": "emu_state.py",52 "dst_lib": work_lib_path,53 "dst_path": "machine"54 },55 # network56 {57 "src_lib": path_emu,58 "src_path": "esp32/network",59 "src": "__init__.py",60 "dst_lib": work_lib_path,61 "dst_path": "network"62 },63 {64 "src_lib": path_emu,65 "src_path": "esp32/network",66 "src": "emu_wlan.py",67 "dst_lib": work_lib_path,68 "dst_path": "network"69 },70#CORE71 # board72 {73 "src_lib": path_core,74 "src_path": "board/pc",75 "src": "platform.py",76 "dst_lib": work_core_path,77 "dst_path": ""78 },79 # loader80 {81 "src_lib": path_core,82 "src_path": "",83 "src": "loader.py",84 "dst_lib": work_core_path,85 "dst_path": ""86 },87 # asyn88 {89 "src_lib": path_core,90 "src_path": "asyn",91 "src": "asyn.py",92 "dst_lib": work_core_path,93 "dst_path": "asyn"94 },95 # db96 {97 "src_lib": path_core,98 "src_path": "db",99 "src": "filedb.py",100 "dst_lib": work_core_path,101 "dst_path": "db"102 },103 # mbus104 {105 "src_lib": path_core,106 "src_path": "mbus",107 "src": "mbus.py",108 "dst_lib": work_core_path,109 "dst_path": "mbus"110 },111 # umod112 {113 "src_lib": path_core,114 "src_path": "umod",115 "src": "board.py",116 "dst_lib": work_core_path,117 "dst_path": "umod"118 },119 {120 "src_lib": path_core,121 "src_path": "umod",122 "src": "table.py",123 "dst_lib": work_core_path,124 "dst_path": "umod"125 },126 {127 "src_lib": path_core,128 "src_path": "umod",129 "src": "umod.py",130 "dst_lib": work_core_path,131 "dst_path": "umod"132 },133#APP134 # FTP app135 {136 "src_lib": path_app_mod,137 "src_path": "ftp/app",138 "src": "ftp_mod.py",139 "dst_lib": work_app_path,140 "dst_path": ""141 },142 # FTP mod143 {144 "src_lib": path_app_mod,145 "src_path": "ftp/mod",146 "src": "ftp.py",147 "dst_lib": work_mod_path,148 "dst_path": "ftp"149 },150 {151 "src_lib": path_app_mod,152 "src_path": "ftp/mod",153 "src": "runner.py",154 "dst_lib": work_mod_path,155 "dst_path": "ftp"156 },157 # TELNET app158 {159 "src_lib": path_app_mod,160 "src_path": "telnet/app",161 "src": "telnet_mod.py",162 "dst_lib": work_app_path,163 "dst_path": ""164 },165 # TELNET mod166 {167 "src_lib": path_app_mod,168 "src_path": "telnet/mod",169 "src": "telnet.py",170 "dst_lib": work_mod_path,171 "dst_path": "telnet"172 },173 {174 "src_lib": path_app_mod,175 "src_path": "telnet/mod",176 "src": "runner.py",177 "dst_lib": work_mod_path,178 "dst_path": "telnet"179 },180 {181 "src_lib": path_app_mod,182 "src_path": "telnet/mod",183 "src": "telnetio.py",184 "dst_lib": work_mod_path,185 "dst_path": "telnet"186 },187 # HTTP app188 {189 "src_lib": path_app_mod,190 "src_path": "http/app",191 "src": "http_mod.py",192 "dst_lib": work_app_path,193 "dst_path": ""194 },195 # HTTP mod196 {197 "src_lib": path_app_mod,198 "src_path": "http/mod",199 "src": "runner.py",200 "dst_lib": work_mod_path,201 "dst_path": "http"202 },203 {204 "src_lib": path_app_mod,205 "src_path": "http/mod",206 "src": "route_rpc.py",207 "dst_lib": work_mod_path,208 "dst_path": "http"209 },210 {211 "src_lib": path_app_mod,212 "src_path": "http/mod",213 "src": "http.py",214 "dst_lib": work_mod_path,215 "dst_path": "http"216 },217 # NET app218 {219 "src_lib": path_app_mod,220 "src_path": "net/app",221 "src": "net_mod.py",222 "dst_lib": work_app_path,223 "dst_path": ""224 },225 # NET mod226 {227 "src_lib": path_app_mod,228 "src_path": "net/mod",229 "src": "actions.py",230 "dst_lib": work_mod_path,231 "dst_path": "net"232 },233 {234 "src_lib": path_app_mod,235 "src_path": "net/mod/esp32",236 "src": "wifi.py",237 "dst_lib": work_mod_path,238 "dst_path": "net"239 },240 # MQTT app241 {242 "src_lib": path_app_mod,243 "src_path": "mqtt/app",244 "src": "mqtt_mod.py",245 "dst_lib": work_app_path,246 "dst_path": ""247 },248 # MQTT mod249 {250 "src_lib": path_app_mod,251 "src_path": "mqtt/mod",252 "src": "mqtt.py",253 "dst_lib": work_mod_path,254 "dst_path": "mqtt"255 },256 {257 "src_lib": path_app_mod,258 "src_path": "mqtt/mod",259 "src": "runner.py",260 "dst_lib": work_mod_path,261 "dst_path": "mqtt"262 },263 {264 "src_lib": path_app_mod,265 "src_path": "mqtt/mod",266 "src": "message.py",267 "dst_lib": work_mod_path,268 "dst_path": "mqtt"269 },270 # PIN271 # PIN app272 {273 "src_lib": path_app_mod,274 "src_path": "pin/app",275 "src": "pin_mod.py",276 "dst_lib": work_app_path,277 "dst_path": ""278 },279 # PIN mod280 {281 "src_lib": path_app_mod,282 "src_path": "pin/mod",283 "src": "runner.py",284 "dst_lib": work_mod_path,285 "dst_path": "pin"286 },287 # PUSH288 # PUSH app289 {290 "src_lib": path_app_mod,291 "src_path": "push/app",292 "src": "push_mod.py",293 "dst_lib": work_app_path,294 "dst_path": ""295 },296 # PUSH mod297 {298 "src_lib": path_app_mod,299 "src_path": "push/mod",300 "src": "push.py",301 "dst_lib": work_mod_path,302 "dst_path": "push"303 },304 {305 "src_lib": path_app_mod,306 "src_path": "push/mod",307 "src": "runner.py",308 "dst_lib": work_mod_path,309 "dst_path": "push"310 },311 # RELAY312 # RELAY app313 {314 "src_lib": path_app_mod,315 "src_path": "relay/app",316 "src": "relay_mod.py",317 "dst_lib": work_app_path,318 "dst_path": ""319 },320 # RELAY mod321 {322 "src_lib": path_app_mod,323 "src_path": "relay/mod",324 "src": "relay.py",325 "dst_lib": work_mod_path,326 "dst_path": "relay"327 },328 {329 "src_lib": path_app_mod,330 "src_path": "relay/mod",331 "src": "runner.py",332 "dst_lib": work_mod_path,333 "dst_path": "relay"334 },335 # Control336 # Control app337 {338 "src_lib": path_app_mod,339 "src_path": "control/app",340 "src": "control_mod.py",341 "dst_lib": work_app_path,342 "dst_path": ""343 },344 # Control mod345 {346 "src_lib": path_app_mod,347 "src_path": "control/mod",348 "src": "runner.py",349 "dst_lib": work_mod_path,350 "dst_path": "control"351 },352# PWM353 # PWM app354 {355 "src_lib": path_app_mod,356 "src_path": "pwm/app",357 "src": "pwm_mod.py",358 "dst_lib": work_app_path,359 "dst_path": ""360 },361 # PWM mod362 {363 "src_lib": path_app_mod,364 "src_path": "pwm/mod",365 "src": "pwm.py",366 "dst_lib": work_mod_path,367 "dst_path": "pwm"368 },369 {370 "src_lib": path_app_mod,371 "src_path": "pwm/mod",372 "src": "runner.py",373 "dst_lib": work_mod_path,374 "dst_path": "pwm"375 },376)...

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fake_filesystem_shutil.py

Source:fake_filesystem_shutil.py Github

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1#!/usr/bin/env python2#3# Copyright 2009 Google Inc. All Rights Reserved.4#5# Licensed under the Apache License, Version 2.0 (the "License");6# you may not use this file except in compliance with the License.7# You may obtain a copy of the License at8#9# http://www.apache.org/licenses/LICENSE-2.010#11# Unless required by applicable law or agreed to in writing, software12# distributed under the License is distributed on an "AS IS" BASIS,13# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.14# See the License for the specific language governing permissions and15# limitations under the License.16#17# pylint: disable-msg=W0612,W0613,C640918"""A fake shutil module implementation that uses fake_filesystem for unit tests.19Includes:20 FakeShutil: Uses a FakeFilesystem to provide a fake replacement for the21 shutil module.22Usage:23>>> from pyfakefs import fake_filesystem24>>> from pyfakefs import fake_filesystem_shutil25>>> filesystem = fake_filesystem.FakeFilesystem()26>>> shutil_module = fake_filesystem_shutil.FakeShutilModule(filesystem)27Copy a fake_filesystem directory tree:28>>> new_file = filesystem.CreateFile('/src/new-file')29>>> shutil_module.copytree('/src', '/dst')30>>> filesystem.Exists('/dst/new-file')31True32Remove a fake_filesystem directory tree:33>>> shutil_module.rmtree('/src')34>>> filesystem.Exists('/src/new-file')35False36"""37import errno38import os39import shutil40import stat41__pychecker__ = 'no-reimportself'42_PERM_WRITE = 0o200 # Write permission bit.43_PERM_READ = 0o400 # Read permission bit.44_PERM_ALL = 0o7777 # All permission bits.45class FakeShutilModule(object):46 """Uses a FakeFilesystem to provide a fake replacement for shutil module."""47 def __init__(self, filesystem):48 """Construct fake shutil module using the fake filesystem.49 Args:50 filesystem: FakeFilesystem used to provide file system information51 """52 self.filesystem = filesystem53 self._shutil_module = shutil54 def rmtree(self, path, ignore_errors=False, onerror=None):55 """Remove a directory and all its contents.56 Args:57 path: (str) Directory tree to remove.58 ignore_errors: (bool) unimplemented59 onerror: (func) unimplemented60 """61 self.filesystem.RemoveObject(path)62 def copy(self, src, dst):63 """Copy data and mode bits ("cp src dst").64 Args:65 src: (str) source file66 dst: (str) destination, may be a directory67 """68 if self.filesystem.Exists(dst):69 if stat.S_ISDIR(self.filesystem.GetObject(dst).st_mode):70 dst = self.filesystem.JoinPaths(dst, os.path.basename(src))71 self.copyfile(src, dst)72 src_object = self.filesystem.GetObject(src)73 dst_object = self.filesystem.GetObject(dst)74 dst_object.st_mode = ((dst_object.st_mode & ~_PERM_ALL) |75 (src_object.st_mode & _PERM_ALL))76 def copyfile(self, src, dst):77 """Copy data from src to dst.78 Args:79 src: (str) source file80 dst: (dst) destination file81 Raises:82 IOError: if the file can't be copied83 shutil.Error: if the src and dst files are the same84 """85 src_file_object = self.filesystem.GetObject(src)86 if not src_file_object.st_mode & _PERM_READ:87 raise IOError(errno.EACCES, 'Permission denied', src)88 if stat.S_ISDIR(src_file_object.st_mode):89 raise IOError(errno.EISDIR, 'Is a directory', src)90 dst_dir = os.path.dirname(dst)91 if dst_dir:92 if not self.filesystem.Exists(dst_dir):93 raise IOError(errno.ENOTDIR, 'Not a directory', dst)94 dst_dir_object = self.filesystem.GetObject(dst_dir)95 if not dst_dir_object.st_mode & _PERM_WRITE:96 raise IOError(errno.EACCES, 'Permission denied', dst_dir)97 abspath_src = self.filesystem.NormalizePath(98 self.filesystem.ResolvePath(src))99 abspath_dst = self.filesystem.NormalizePath(100 self.filesystem.ResolvePath(dst))101 if abspath_src == abspath_dst:102 raise shutil.Error('`%s` and `%s` are the same file' % (src, dst))103 if self.filesystem.Exists(dst):104 dst_file_object = self.filesystem.GetObject(dst)105 if stat.S_ISDIR(dst_file_object.st_mode):106 raise IOError(errno.EISDIR, 'Is a directory', dst)107 if not dst_file_object.st_mode & _PERM_WRITE:108 raise IOError(errno.EACCES, 'Permission denied', dst)109 dst_file_object.SetContents(src_file_object.contents)110 else:111 self.filesystem.CreateFile(dst, contents=src_file_object.contents)112 def copystat(self, src, dst):113 """Copy all stat info (mode bits, atime, and mtime) from src to dst.114 Args:115 src: (str) source file116 dst: (str) destination file117 """118 src_object = self.filesystem.GetObject(src)119 dst_object = self.filesystem.GetObject(dst)120 dst_object.st_mode = ((dst_object.st_mode & ~_PERM_ALL) |121 (src_object.st_mode & _PERM_ALL))122 dst_object.st_uid = src_object.st_uid123 dst_object.st_gid = src_object.st_gid124 dst_object.st_atime = src_object.st_atime125 dst_object.st_mtime = src_object.st_mtime126 def copy2(self, src, dst):127 """Copy data and all stat info ("cp -p src dst").128 Args:129 src: (str) source file130 dst: (str) destination, may be a directory131 """132 if self.filesystem.Exists(dst):133 if stat.S_ISDIR(self.filesystem.GetObject(dst).st_mode):134 dst = self.filesystem.JoinPaths(dst, os.path.basename(src))135 self.copyfile(src, dst)136 self.copystat(src, dst)137 def copytree(self, src, dst, symlinks=False):138 """Recursively copy a directory tree.139 Args:140 src: (str) source directory141 dst: (str) destination directory, must not already exist142 symlinks: (bool) copy symlinks as symlinks instead of copying the143 contents of the linked files. Currently unused.144 Raises:145 OSError: if src is missing or isn't a directory146 """147 self.filesystem.CreateDirectory(dst)148 try:149 directory = self.filesystem.GetObject(src)150 except IOError as e:151 raise OSError(e.errno, e.message)152 if not stat.S_ISDIR(directory.st_mode):153 raise OSError(errno.ENOTDIR,154 'Fake os module: %r not a directory' % src)155 for name in directory.contents:156 srcname = self.filesystem.JoinPaths(src, name)157 dstname = self.filesystem.JoinPaths(dst, name)158 src_mode = self.filesystem.GetObject(srcname).st_mode159 if stat.S_ISDIR(src_mode):160 self.copytree(srcname, dstname, symlinks)161 else:162 self.copy2(srcname, dstname)163 def move(self, src, dst):164 """Rename a file or directory.165 Args:166 src: (str) source file or directory167 dst: (str) if the src is a directory, the dst must not already exist168 """169 if stat.S_ISDIR(self.filesystem.GetObject(src).st_mode):170 self.copytree(src, dst, symlinks=True)171 else:172 self.copy2(src, dst)173 self.filesystem.RemoveObject(src)174 def __getattr__(self, name):175 """Forwards any non-faked calls to the standard shutil module."""176 return getattr(self._shutil_module, name)177def _RunDoctest():178 # pylint: disable-msg=C6111,C6204,W0406179 import doctest180 from pyfakefs import fake_filesystem_shutil181 return doctest.testmod(fake_filesystem_shutil)182if __name__ == '__main__':...

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Using AI Code Generation

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1var wpt = require('webpagetest');2var test = wpt('www.webpagetest.org');3}, function(err, data) {4 if (err) {5 console.log('Got an error: ' + err);6 } else {7 console.log('Got data: ' + JSON.stringify(data));8 }9});10var wpt = require('webpagetest');11var test = wpt('www.webpagetest.org');12}, function(err, data) {13 if (err) {14 console.log('Got an error: ' + err);15 } else {16 console.log('Got data: ' + JSON.stringify(data));17 }18});19var wpt = require('webpagetest');20var test = wpt('www.webpagetest.org');21}, function(err, data) {22 if (err) {23 console.log('Got an error: ' + err);24 } else {25 console.log('Got data: ' + JSON.stringify(data));26 }27});28var wpt = require('webpagetest');29var test = wpt('www.webpagetest.org');30}, function(err, data) {31 if (err) {32 console.log('Got an error: ' + err);33 } else {34 console.log('Got data

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Using AI Code Generation

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1var wpt = require('webpagetest');2var wpt = new WebPageTest('www.webpagetest.org');3var options = {4};5 if (err) return console.error(err);6 console.log('Test Status: ' + data.statusText);7 if (data.statusText == 'Test Complete') {8 console.log('First View (ms): ' + data.data.average.firstView.loadTime);9 console.log('Repeat View (ms): ' + data.data.average.repeatView.loadTime);10 }11});12var wpt = require('webpagetest');13var wpt = new WebPageTest('www.webpagetest.org');14var options = {15};16 if (err) return console.error(err);17 console.log('Test Status: ' + data.statusText);18 if (data.statusText == 'Test Complete') {19 console.log('First View (ms): ' + data.data.average.firstView.loadTime);20 console.log('Repeat View (ms): ' + data.data.average.repeatView.loadTime);21 }22});23var wpt = require('webpagetest');24var wpt = new WebPageTest('www.webpagetest.org');25var options = {26};27 if (err) return console.error(err);28 console.log('Test Status: ' + data.statusText);29 if (data.statusText == 'Test Complete') {30 console.log('First View (ms): ' + data.data.average.firstView.loadTime);31 console.log('Repeat View (ms): ' + data.data.average.repeatView.loadTime);32 }33});34var wpt = require('webpagetest');35var wpt = new WebPageTest('www.webpagetest.org');36var options = {37};38wpt.runTest('

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Using AI Code Generation

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1var wpt = require('webpagetest');2var api = new wpt('www.webpagetest.org');3var options = {4};5api.runTest(options, function(err, data) {6 if (err) return console.error(err);7 console.log('Test status: ' + data.statusText);8 console.log('Test ID: ' + data.data.testId);9 console.log('Test URL: ' + data.data.summary);10 console.log('Test results: ' + data.data.userUrl);11 console.log('Test results: ' + data.data.jsonUrl);12});13api.getTestResults(data.data.testId, function(err, data) {14 if (err) return console.error(err);15 console.log('Test status: ' + data.statusText);16 console.log('Test ID: ' + data.data.testId);17 console.log('Test URL: ' + data.data.summary);18 console.log('Test results: ' + data.data.userUrl);19 console.log('Test results: ' + data.data.jsonUrl);20});

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Using AI Code Generation

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1var wptools = require('wptools');2var fs = require('fs');3page.dst(function(err, resp){4 if(err){5 console.log(err);6 }else{7 console.log(resp);8 fs.writeFile('test.json', JSON.stringify(resp), function(err){9 if(err){10 console.log(err);11 }else{12 console.log('file saved');13 }14 });15 }16});17{ pageid: 17113,18 { name: 'Cristiano Ronaldo dos Santos Aveiro',19 birth_date: { text: '5 February 1985 (age 32)', date: '1985-02-05' },20 height: '1.87 m (6 ft 2 in)',

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Using AI Code Generation

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1var wpt = require('wpt');2var dst = wpt.dst(40.7143528,-74.0059731,40.7484405,-73.9856644);3var dst = wpt.dst(40.7143528,-74.0059731,40.7484405,-73.9856644, 'm');4var dst = wpt.dst(40.7143528,-74.0059731,40.7484405,-73.9856644, 'n');5var dst = wpt.dst(40.7143528,-74.0059731,40.7484405,-73.9856644, 'f');6var dst = wpt.dst(40.7143528,-74.0059731,40.7484405,-73.9856644, 'k');7var dst = wpt.dst(40.7143528,-74.0059731,40.7484405,-73.9856644, 'x');8var dst = wpt.dst(40.7143528,-74.0059731,40.7484405,-73.9856644, 'y');9var dst = wpt.dst(40.7143528,-74.0059731,40.7484405,-73.9856644, 'a');10var dst = wpt.dst(40.7143528,-

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Using AI Code Generation

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1var WebPageTest = require('webpagetest');2var wpt = new WebPageTest('www.webpagetest.org', 'A.2b5d9a5c5a5f5f8c8b5e5b5e5f5f5e5f5');3var options = {4};5wpt.runTest(url, options, function(err, data) {6 if (err) return console.error(err);7 console.log(data);8 wpt.getTestResults(data.data.testId, function(err, data) {9 if (err) return console.error(err);10 console.log(data);11 });12});

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Using AI Code Generation

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1var wpt = require('webpagetest');2var options = {3};4var wpt = new WebPageTest('www.webpagetest.org', options.key);5wpt.runTest(testURL, options, function(err, data) {6 if (err) return console.error(err);7 console.log(data);8});

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