495 lines
15 KiB
JavaScript
495 lines
15 KiB
JavaScript
import {
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__commonJS
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} from "./chunk-HPRLEMBT.js";
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// node_modules/matrix-js/lib/rational.js
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var require_rational = __commonJS({
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"node_modules/matrix-js/lib/rational.js"(exports, module) {
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"use strict";
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function rational(num, den) {
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den = den || 1;
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if (Math.sign(den) === -1) {
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num = -num;
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den = -den;
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}
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return {
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num,
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den,
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add: (op) => rational(num * op.den + den * op.num, den * op.den),
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sub: (op) => rational(num * op.den - den * op.num, den * op.den),
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mul: (op) => multiply(op, num, den),
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div: (op) => {
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let _num = op.den;
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let _den = op.num;
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return multiply(rational(_num, _den), num, den);
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}
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};
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}
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module.exports = rational;
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function multiply(op, num, den) {
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let _num = Math.sign(num) * Math.sign(op.num);
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let _den = Math.sign(den) * Math.sign(op.den);
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if (Math.abs(num) === Math.abs(op.den) && Math.abs(den) === Math.abs(op.num)) {
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_num = _num;
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_den = _den;
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} else if (Math.abs(den) === Math.abs(op.num)) {
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_num = _num * Math.abs(num);
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_den = _den * Math.abs(op.den);
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} else if (Math.abs(num) === Math.abs(op.den)) {
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_num = _num * Math.abs(op.num);
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_den = _den * Math.abs(den);
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} else {
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_num = num * op.num;
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_den = den * op.den;
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}
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return rational(_num, _den);
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}
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}
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});
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// node_modules/matrix-js/lib/merge.js
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var require_merge = __commonJS({
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"node_modules/matrix-js/lib/merge.js"(exports, module) {
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"use strict";
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function merge(base) {
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return {
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top: (mergeData) => top(base, mergeData),
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bottom: (mergeData) => bottom(base, mergeData),
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left: (mergeData) => left(base, mergeData),
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right: (mergeData) => right(base, mergeData)
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};
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}
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module.exports = merge;
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function top(base, mergeData) {
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let baseWidth = base[0].length || base.length;
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let mergeDataWidth = mergeData[mergeData.length - 1].length || mergeData.length;
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if (baseWidth !== mergeDataWidth) {
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return base;
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}
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if (!Array.isArray(base[0])) {
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base = [base];
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}
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if (!Array.isArray(mergeData[mergeData.length - 1])) {
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mergeData = [mergeData];
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}
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for (let row = mergeData.length - 1; row >= 0; row--) {
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base.unshift(mergeData[row].map((ele) => ele));
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}
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return base;
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}
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function bottom(base, mergeData) {
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let baseWidth = base[base.length - 1].length || base.length;
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let mergeDataWidth = mergeData[0].length || mergeData.length;
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if (baseWidth !== mergeDataWidth) {
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return base;
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}
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if (!Array.isArray(base[base.length - 1])) {
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base = [base];
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}
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if (!Array.isArray(mergeData[0])) {
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mergeData = [mergeData];
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}
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for (let row = 0; row < mergeData.length; row++) {
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base.push(mergeData[row].map((ele) => ele));
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}
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return base;
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}
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function left(base, mergeData) {
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let baseHeight = base.length;
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let mergeDataHeight = mergeData.length;
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if (!Array.isArray(base[0]) && !Array.isArray(mergeData[0])) {
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base.unshift.apply(base, mergeData);
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return base;
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}
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if (baseHeight !== mergeDataHeight) {
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return base;
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}
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for (let row = 0; row < baseHeight; row++) {
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base[row].unshift.apply(base[row], mergeData[row].map((ele) => ele));
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}
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return base;
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}
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function right(base, mergeData) {
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let baseHeight = base.length;
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let mergeDataHeight = mergeData.length;
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if (!Array.isArray(base[0]) && !Array.isArray(mergeData[0])) {
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base.push.apply(base, mergeData);
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return base;
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}
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if (baseHeight !== mergeDataHeight) {
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return base;
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}
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for (let row = 0; row < baseHeight; row++) {
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base[row].push.apply(base[row], mergeData[row].map((ele) => ele));
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}
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return base;
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}
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}
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});
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// node_modules/matrix-js/lib/generate.js
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var require_generate = __commonJS({
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"node_modules/matrix-js/lib/generate.js"(exports, module) {
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"use strict";
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function generate(val) {
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return {
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size: (row, col) => size(val, row, col),
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diag: (row, col) => diag(val, row, col)
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};
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}
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function size(val, row, col) {
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if (!col) {
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col = row;
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}
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let rows = [];
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for (let i = 0; i < row; i++) {
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let cols = [];
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for (let j = 0; j < col; j++) {
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cols[j] = val || Math.random();
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}
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rows[i] = cols;
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}
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return rows;
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}
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function diag(val, row, col) {
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if (!col) {
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col = row;
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}
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let rows = [];
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for (let i = 0; i < row; i++) {
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let cols = [];
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for (let j = 0; j < col; j++) {
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cols[j] = 0;
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}
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rows[i] = cols;
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if (i < col || row == col) {
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rows[i][i] = val || Math.random();
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}
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}
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return rows;
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}
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module.exports = generate;
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}
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});
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// node_modules/matrix-js/lib/index.js
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var require_lib = __commonJS({
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"node_modules/matrix-js/lib/index.js"(exports, module) {
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var rational = require_rational();
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var merge = require_merge();
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var generate = require_generate();
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function matrix(mat) {
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if (!Array.isArray(mat)) {
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throw new Error("Input should be of type array");
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}
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let _matrix = function() {
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let args = arguments.length === 1 ? [arguments[0]] : Array.apply(null, arguments);
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return read(mat, args);
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};
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return Object.assign(_matrix, _mat(mat));
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}
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matrix.gen = generate;
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function _mat(mat) {
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return {
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size: () => size(mat),
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add: (operand) => operate(mat, operand, addition),
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sub: (operand) => operate(mat, operand, subtraction),
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mul: (operand) => operate(mat, operand, multiplication),
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div: (operand) => operate(mat, operand, division),
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prod: (operand) => prod(mat, operand),
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trans: () => trans(mat),
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set: function() {
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let args = arguments.length === 1 ? [arguments[0]] : Array.apply(null, arguments);
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return {
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to: (val) => replace(mat, val, args)
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};
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},
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det: () => determinant(mat),
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inv: () => invert(mat),
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merge: merge(mat),
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map: (func) => map(mat, func),
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equals: (operand) => equals(mat, operand)
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};
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}
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module.exports = matrix;
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function size(mat) {
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let s = [];
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while (Array.isArray(mat)) {
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s.push(mat.length);
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mat = mat[0];
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}
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return s;
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}
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function dimensions(mat) {
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return size(mat).length;
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}
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function read(mat, args) {
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if (args.length === 0) {
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return mat;
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} else {
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return extract(mat, args);
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}
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}
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function extract(mat, args) {
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let dim = dimensions(mat);
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for (let i = 0; i < dim; i++) {
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let d = args[i];
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if (d === void 0) {
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break;
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}
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if (Array.isArray(d)) {
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mat = extractRange(mat, d, i);
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} else if (Number.isInteger(d)) {
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if (dimensions(mat) > 1 && i > 0) {
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mat = mat.map(function(elem) {
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return [elem[d]];
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});
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} else {
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mat = mat[d];
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}
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}
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}
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return mat;
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}
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function extractRange(mat, arg, ind) {
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if (!arg.length) {
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return mat;
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} else if (arg.length === 2) {
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let reverse = arg[0] > arg[1];
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let first = !reverse ? arg[0] : arg[1];
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let last = !reverse ? arg[1] : arg[0];
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if (dimensions(mat) > 1 && ind > 0) {
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return mat.map(function(elem) {
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if (reverse) {
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return elem.slice(first, last + 1).reverse();
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}
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return elem.slice(first, last + 1);
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});
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} else {
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mat = mat.slice(first, last + 1);
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return reverse && mat.reverse() || mat;
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}
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}
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}
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function replace(mat, value, args) {
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let result = clone(mat);
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let prev = args[0];
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let start = prev[0] || 0;
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let end = prev[1] && prev[1] + 1 || mat.length;
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if (!Array.isArray(prev) && args.length === 1) {
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result[prev].fill(value);
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} else if (args.length === 1) {
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for (let ind = start; ind < end; ind++) {
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result[ind].fill(value);
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}
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}
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for (let i = 1; i < args.length; i++) {
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let first = Array.isArray(args[i]) ? args[i][0] || 0 : args[i];
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let last = Array.isArray(args[i]) ? args[i][1] && args[i][1] + 1 || mat[0].length : args[i] + 1;
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if (!Array.isArray(prev)) {
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result[prev].fill(value, first, last);
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} else {
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for (let ind = start; ind < end; ind++) {
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result[ind].fill(value, first, last);
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}
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}
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}
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return result;
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}
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function operate(mat, operand, operation) {
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let result = [];
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let op = operand();
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for (let i = 0; i < mat.length; i++) {
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let op1 = mat[i];
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let op2 = op[i];
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result.push(op1.map(function(elem, ind) {
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return operation(elem, op2[ind]);
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}));
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}
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return result;
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}
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function prod(mat, operand) {
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let op1 = mat;
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let op2 = operand();
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let size1 = size(op1);
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let size2 = size(op2);
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let result = [];
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if (size1[1] === size2[0]) {
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for (let i = 0; i < size1[0]; i++) {
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result[i] = [];
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for (let j = 0; j < size2[1]; j++) {
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for (let k = 0; k < size1[1]; k++) {
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if (result[i][j] === void 0) {
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result[i][j] = 0;
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}
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result[i][j] += multiplication(op1[i][k], op2[k][j]);
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}
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}
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}
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}
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return result;
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}
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function trans(mat) {
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let input = mat;
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let s = size(mat);
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let output = [];
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for (let i = 0; i < s[0]; i++) {
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for (let j = 0; j < s[1]; j++) {
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if (Array.isArray(output[j])) {
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output[j].push(input[i][j]);
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} else {
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output[j] = [input[i][j]];
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}
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}
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}
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return output;
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}
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function clone(mat) {
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let result = [];
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for (let i = 0; i < mat.length; i++) {
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result.push(mat[i].slice(0));
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}
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return result;
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}
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function addition(op1, op2) {
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return op1 + op2;
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}
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function subtraction(op1, op2) {
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return op1 - op2;
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}
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function multiplication(op1, op2) {
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return op1 * op2;
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}
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function division(op1, op2) {
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return op1 / op2;
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}
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function determinant(mat) {
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let rationalized = rationalize(mat);
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let siz = size(mat);
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let det = rational(1);
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let sign = 1;
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for (let i = 0; i < siz[0] - 1; i++) {
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for (let j = i + 1; j < siz[0]; j++) {
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if (rationalized[j][i].num === 0) {
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continue;
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}
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if (rationalized[i][i].num === 0) {
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interchange(rationalized, i, j);
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sign = -sign;
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continue;
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}
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let temp = rationalized[j][i].div(rationalized[i][i]);
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temp = rational(Math.abs(temp.num), temp.den);
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if (Math.sign(rationalized[j][i].num) === Math.sign(rationalized[i][i].num)) {
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temp = rational(-temp.num, temp.den);
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}
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for (let k = 0; k < siz[1]; k++) {
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rationalized[j][k] = temp.mul(rationalized[i][k]).add(rationalized[j][k]);
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}
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}
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}
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det = rationalized.reduce((prev, curr, index) => prev.mul(curr[index]), rational(1));
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return sign * det.num / det.den;
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}
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function interchange(mat, ind1, ind2) {
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let temp = mat[ind1];
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mat[ind1] = mat[ind2];
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mat[ind2] = temp;
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}
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function invert(mat) {
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let rationalized = rationalize(mat);
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let siz = size(mat);
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let result = rationalize(generate(1).diag(siz[0]));
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let i = 0;
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let j = 0;
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while (j < siz[0]) {
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if (rationalized[i][j].num === 0) {
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for (let k = i + 1; k < siz[0]; k++) {
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if (rationalized[k][j].num !== 0) {
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interchange(rationalized, i, k);
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interchange(result, i, k);
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}
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}
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}
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if (rationalized[i][j].num !== 0) {
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if (rationalized[i][j].num !== 1 || rationalized[i][j].den !== 1) {
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let factor = rational(rationalized[i][j].num, rationalized[i][j].den);
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for (let col = 0; col < siz[1]; col++) {
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rationalized[i][col] = rationalized[i][col].div(factor);
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result[i][col] = result[i][col].div(factor);
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}
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}
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for (let k = i + 1; k < siz[0]; k++) {
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let temp = rationalized[k][j];
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for (let col = 0; col < siz[1]; col++) {
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rationalized[k][col] = rationalized[k][col].sub(temp.mul(rationalized[i][col]));
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result[k][col] = result[k][col].sub(temp.mul(result[i][col]));
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}
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}
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}
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i += 1;
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j += 1;
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}
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let last = siz[0] - 1;
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if (rationalized[last][last].num !== 1 || rationalized[last][last].den !== 1) {
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let factor = rational(rationalized[last][last].num, rationalized[last][last].den);
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for (let col = 0; col < siz[1]; col++) {
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rationalized[last][col] = rationalized[last][col].div(factor);
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result[last][col] = result[last][col].div(factor);
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}
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}
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for (let i2 = siz[0] - 1; i2 > 0; i2--) {
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for (let j2 = i2 - 1; j2 >= 0; j2--) {
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let temp = rational(-rationalized[j2][i2].num, rationalized[j2][i2].den);
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for (let k = 0; k < siz[1]; k++) {
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rationalized[j2][k] = temp.mul(rationalized[i2][k]).add(rationalized[j2][k]);
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result[j2][k] = temp.mul(result[i2][k]).add(result[j2][k]);
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}
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}
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}
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return derationalize(result);
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}
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function map(mat, func) {
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const s = size(mat);
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const result = [];
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for (let i = 0; i < s[0]; i++) {
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if (Array.isArray(mat[i])) {
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result[i] = [];
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for (let j = 0; j < s[1]; j++) {
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result[i][j] = func(mat[i][j], [i, j], mat);
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}
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} else {
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result[i] = func(mat[i], [i, 0], mat);
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}
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}
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return result;
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}
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function rationalize(mat) {
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let rationalized = [];
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mat.forEach((row, ind) => {
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rationalized.push(row.map((ele) => rational(ele)));
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});
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return rationalized;
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}
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function derationalize(mat) {
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let derationalized = [];
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mat.forEach((row, ind) => {
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derationalized.push(row.map((ele) => ele.num / ele.den));
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});
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return derationalized;
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}
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function equals(mat, operand) {
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let op1 = mat;
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let op2 = operand();
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let size1 = size(op1);
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let size2 = size(op2);
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if (!size1.every((val, ind) => val === size2[ind])) {
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return false;
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}
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return op1.every((val, ind1) => val.every((ele, ind2) => Math.abs(ele - op2[ind1][ind2]) < 1e-10));
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}
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}
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});
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export default require_lib();
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//# sourceMappingURL=matrix-js.js.map
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