diff --git a/.gitignore b/.gitignore index a1164f2..6101275 100644 --- a/.gitignore +++ b/.gitignore @@ -7,7 +7,7 @@ lib-cov *.pid *.gz *.swp - +.nyc_output pids logs results @@ -26,3 +26,5 @@ bower_components # OS metadata .DS_Store Thumbs.db + +coverage diff --git a/CHANGELOG.md b/CHANGELOG.md index 734cf89..658a156 100644 --- a/CHANGELOG.md +++ b/CHANGELOG.md @@ -1,5 +1,10 @@ # Changelog +### 24/01/17 - Version 1.0.3 + - Add user inputed gates to applyGate() and generateGate() + - Switch to Sparse matrices for quicker operation + - General Bug Fixes + ### 23/01/17 - Version 1.0.2 - Change to standard Math.js module - Add Docco Documentation diff --git a/README.md b/README.md index 3dc743b..d7ad92b 100644 --- a/README.md +++ b/README.md @@ -1,11 +1,11 @@ # Qics - _Quantum Idealistic Computer Simulator_ -[![Greenkeeper badge](https://badges.greenkeeper.io/adamisntdead/qics.svg)](https://greenkeeper.io/) - [![GitHub issues](https://img.shields.io/github/issues/adamisntdead/qics.svg)](https://github.com/adamisntdead/qics/issues) [![GitHub license](https://img.shields.io/badge/license-Apache%202-blue.svg)](https://raw.githubusercontent.com/adamisntdead/qics/master/LICENSE) [![Travis](https://img.shields.io/travis/adamisntdead/qics.svg)](https://travis-ci.org/adamisntdead/qics) [![npm](https://img.shields.io/npm/v/qics.svg)](https://www.npmjs.com/package/qics) +[![Greenkeeper badge](https://badges.greenkeeper.io/adamisntdead/qics.svg)](https://greenkeeper.io/) + Qics is an Idealistic, Quantum Computer Simulation Library. It works by holding a Quantum Register as a Matrix, @@ -57,7 +57,7 @@ __Example simulation:__ const qics = require('qics'); // Create a new Quantum Register with 3 Qubits -const reg = new qicks.Register(3); +const reg = new qics.Register(3); // Apply some gates. // Hadamard Gate @@ -70,6 +70,23 @@ reg.applyGate('CNOT', 1, 3) ; console.log(reg.measure()); ``` +You can also use your own gates, by inputing them as an Array or Math.Matrix object +to the applyGate function. + +```javascript +// Manually Add A NOT Gate + +const reg = new qics.Register(2); + +reg.applyGate([ + [0, 1], + [1, 0] +], 1); + + +// Now measure the register. Should return either "10" +console.log(reg.measure()); +``` *** ### Documentation @@ -84,6 +101,8 @@ To deploy the docs to the github pages, run ```shell git subtree push --prefix docs origin gh-pages ``` +To build the docs, run `npm run docs`. + *** ### Build diff --git a/ROADMAP.md b/ROADMAP.md new file mode 100644 index 0000000..a4453dd --- /dev/null +++ b/ROADMAP.md @@ -0,0 +1,11 @@ +# Roadmap / Planned Changes +*** +### Features +- Output to latex +- Draw Gate Diagrams +- Qudits +- Benchmarks +- Custom Programming Language / Parser +- Extra Gates (i.e. Swap, Toffoli) +- Quantum Functions (i.e. Grover Search) +- State Dump for debugging programs diff --git a/dist/qics.js b/dist/qics.js index e53676f..266429d 100644 --- a/dist/qics.js +++ b/dist/qics.js @@ -47,7 +47,7 @@ var qics = 'use strict'; - var gates = __webpack_require__(79); + var gates = __webpack_require__(80); var Register = __webpack_require__(138); // Exports the Gates class and the Register Class @@ -187,7 +187,7 @@ var qics = 'use strict'; - var NumberFormatter = __webpack_require__(504); + var NumberFormatter = __webpack_require__(505); /** * Test whether value is a number @@ -2462,7 +2462,7 @@ var qics = 'use strict'; - var keywords = __webpack_require__(62); + var keywords = __webpack_require__(63); var extend = __webpack_require__(5).extend; var deepEqual= __webpack_require__(5).deepEqual; @@ -3221,7 +3221,7 @@ var qics = var latex = __webpack_require__(4); var algorithm01 = load(__webpack_require__(28)); - var algorithm04 = load(__webpack_require__(74)); + var algorithm04 = load(__webpack_require__(75)); var algorithm10 = load(__webpack_require__(31)); var algorithm13 = load(__webpack_require__(7)); var algorithm14 = load(__webpack_require__(6)); @@ -3710,7 +3710,7 @@ var qics = 'use strict'; var formatNumber = __webpack_require__(3).format; - var formatBigNumber = __webpack_require__(508).format; + var formatBigNumber = __webpack_require__(509).format; /** * Test whether value is a string @@ -4177,7 +4177,7 @@ var qics = 'use strict'; exports.array = __webpack_require__(8); - exports['boolean'] = __webpack_require__(511); + exports['boolean'] = __webpack_require__(512); exports['function'] = __webpack_require__(34); exports.number = __webpack_require__(3); exports.object = __webpack_require__(5); @@ -4714,7 +4714,7 @@ var qics = function factory (type, config, load, typed) { var AccessorNode = load(__webpack_require__(86)); - var ArrayNode = load(__webpack_require__(63)); + var ArrayNode = load(__webpack_require__(64)); var AssignmentNode = load(__webpack_require__(87)); var BlockNode = load(__webpack_require__(88)); var ConditionalNode = load(__webpack_require__(89)); @@ -4725,7 +4725,7 @@ var qics = var OperatorNode = load(__webpack_require__(49)); var ParenthesisNode = load(__webpack_require__(50)); var FunctionNode = load(__webpack_require__(45)); - var RangeNode = load(__webpack_require__(64)); + var RangeNode = load(__webpack_require__(65)); var SymbolNode = load(__webpack_require__(25)); @@ -6638,11 +6638,11 @@ var qics = function factory (type, config, load, typed) { var latex = __webpack_require__(4); - var eye = load(__webpack_require__(67)); + var eye = load(__webpack_require__(68)); var multiply = load(__webpack_require__(11)); var matrix = load(__webpack_require__(2)); var fraction = load(__webpack_require__(128)); - var number = load(__webpack_require__(76)); + var number = load(__webpack_require__(77)); /** * Calculates the power of x to y, `x ^ y`. @@ -10079,7 +10079,7 @@ var qics = 'use strict'; - var scatter = __webpack_require__(512); + var scatter = __webpack_require__(513); var DimensionError = __webpack_require__(10); function factory (type, config, load, typed) { @@ -10417,6 +10417,50 @@ var qics = /***/ }, /* 62 */ +/***/ function(module, exports, __webpack_require__) { + + var core = __webpack_require__(143); + + /** + * math.js factory function. Creates a new instance of math.js + * + * @param {Object} [config] Available configuration options: + * {number} epsilon + * Minimum relative difference between two + * compared values, used by all comparison functions. + * {string} matrix + * A string 'matrix' (default) or 'array'. + * {string} number + * A string 'number' (default), 'bignumber', or + * 'fraction' + * {number} precision + * The number of significant digits for BigNumbers. + * Not applicable for Numbers. + * {boolean} predictable + * Predictable output type of functions. When true, + * output type depends only on the input types. When + * false (default), output type can vary depending + * on input values. For example `math.sqrt(-2)` + * returns `NaN` when predictable is false, and + * returns `complex('2i')` when true. + */ + function create (config) { + // create a new math.js instance + var math = core.create(config); + math.create = create; + + // import data types, functions, constants, expression parser, etc. + math['import'](__webpack_require__(475)); + + return math; + } + + // return a new instance of math.js + module.exports = create(); + + +/***/ }, +/* 63 */ /***/ function(module, exports) { 'use strict'; @@ -10428,7 +10472,7 @@ var qics = /***/ }, -/* 63 */ +/* 64 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -10571,7 +10615,7 @@ var qics = /***/ }, -/* 64 */ +/* 65 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -10789,7 +10833,7 @@ var qics = /***/ }, -/* 65 */ +/* 66 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -10956,7 +11000,7 @@ var qics = exports.factory = factory; /***/ }, -/* 66 */ +/* 67 */ /***/ function(module, exports) { 'use strict'; @@ -10984,7 +11028,7 @@ var qics = /***/ }, -/* 67 */ +/* 68 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -11136,7 +11180,7 @@ var qics = /***/ }, -/* 68 */ +/* 69 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -11221,7 +11265,7 @@ var qics = /***/ }, -/* 69 */ +/* 70 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -11363,7 +11407,7 @@ var qics = /***/ }, -/* 70 */ +/* 71 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -11665,7 +11709,7 @@ var qics = /***/ }, -/* 71 */ +/* 72 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -11840,7 +11884,7 @@ var qics = /***/ }, -/* 72 */ +/* 73 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -11899,7 +11943,7 @@ var qics = /***/ }, -/* 73 */ +/* 74 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -12157,7 +12201,7 @@ var qics = /***/ }, -/* 74 */ +/* 75 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -12350,7 +12394,7 @@ var qics = /***/ }, -/* 75 */ +/* 76 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -12516,7 +12560,7 @@ var qics = /***/ }, -/* 76 */ +/* 77 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -12601,7 +12645,7 @@ var qics = /***/ }, -/* 77 */ +/* 78 */ /***/ function(module, exports) { /** @@ -12628,10 +12672,10 @@ var qics = /***/ }, -/* 78 */ +/* 79 */ /***/ function(module, exports, __webpack_require__) { - var bitNot = __webpack_require__(77); + var bitNot = __webpack_require__(78); /** * Applies bitwise function to numbers @@ -12758,7 +12802,7 @@ var qics = /***/ }, -/* 79 */ +/* 80 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -12767,7 +12811,8 @@ var qics = function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } } - var math = __webpack_require__(80); + var math = __webpack_require__(62); + var helper = __webpack_require__(139); // Complex number i and -i for easy access var i = math.complex(0, 1); @@ -12792,81 +12837,110 @@ var qics = value: function generateGate(gate, numQubits, qubit1) { var qubit2 = arguments.length > 3 && arguments[3] !== undefined ? arguments[3] : 1; - if (gate === 'CNOT') { - // Set the control and target qubits - var control = qubit1; - var target = qubit2; - - // Grab the gates now for easy access in the function - var identity = math.eye(2); - var X = this.X; - - // This matrix is the 'Control Matrix'. At the end of the gate generation, - // the NaN's positions will be evaluated to figure out if it should be a - // a 0 or a 1 - var C = [[NaN, 0], [0, 1]]; - - // Turn the gate order into an array, so that it can be reduced later. - var gateOrder = []; - for (var _i = 1; _i <= numQubits; _i++) { - if (_i === control) { - gateOrder.push(C); - } else if (_i === target) { - gateOrder.push(X); - } else { - gateOrder.push(identity); + if (math.typeof(gate) === 'string') { + if (gate === 'CNOT') { + // Set the control and target qubits + var control = qubit1; + var target = qubit2; + + // Grab the gates now for easy access in the function + var identity = math.eye(2, 'sparse'); + var X = math.matrix(this.X, 'sparse'); + + // This matrix is the 'Control Matrix'. At the end of the gate + // generation, the NaN's positions will be evaluated to figure + // out if it should be a 0 or a 1 + var C = math.matrix([[NaN, 0], [0, 1]], 'sparse'); + + // Turn the gate order into an array, so that it can be reduced later. + var gateOrder = []; + for (var _i = 1; _i <= numQubits; _i++) { + if (_i === control) { + gateOrder.push(C); + } else if (_i === target) { + gateOrder.push(X); + } else { + gateOrder.push(identity); + } } - } - - // Now the gateOrder array is taken and reduced using the - // 'Kronecker Product' - var newGate = gateOrder.reduce(function (a, b) { - return math.kron(a, b); - }); - - // This needs to now be converted into an array if it is - // returned from math.js as a matrix - if (math.typeof(newGate) === 'Matrix') { - newGate = newGate.toArray(); - } - // Loop through the new matrix and if the NaN's are in the - // center, then replace with a 0, otherwise, replace with a 1 - for (var _i2 = 0; _i2 < newGate.length; _i2++) { - for (var j = 0; j < newGate[_i2].length; j++) { - if (math.isNaN(newGate[_i2][j])) { - if (_i2 === j) { - newGate[_i2][j] = 1; + // Now the gateOrder array is taken and reduced using the + // 'Kronecker Product' + var newGate = math.matrix(gateOrder.reduce(function (a, b) { + return math.kron(a, b); + }), 'sparse'); + + // Loop through the new matrix and if the NaN's are in the + // center, then replace with a 0, otherwise, replace with a 1 + newGate = math.map(newGate, function (val, index) { + if (math.isNaN(val)) { + if (index[0] === index[1]) { + return 1; } else { - newGate[_i2][j] = 0; + return 0; } + } else { + return val; + } + }); + + // Return the expanded gate. + return newGate; + } else { + // Put the gates here for easy access + var _identity = math.eye(2, 'sparse'); + var mainGate = math.matrix(this[gate], 'sparse'); + + // Again, Turn the gate order into an array, so that it can be + // reduced later. + var _gateOrder = []; + + for (var _i2 = 1; _i2 <= numQubits; _i2++) { + if (_i2 === qubit1) { + _gateOrder.push(mainGate); + } else { + _gateOrder.push(_identity); } } + + // Reduce and return the expanded gate. + return _gateOrder.reduce(function (a, b) { + return math.kron(a, b); + }); } - // Return the expanded gate. - return newGate; - } else { + } else if (math.typeof(gate) === 'Matrix' || math.typeof(gate) === 'Array') { + // This expand / generates a gate from a user inputed matrix + // Put the gates here for easy access - var _identity = math.eye(2); - var mainGate = this[gate]; + var _identity2 = math.eye(2, 'sparse'); + var _mainGate = math.matrix(gate, 'sparse'); + + // Gate must be unitary so check here + if (!helper.isUnitary(_mainGate)) { + // It's not unitary, throw an Error + throw new Error('The gate supplied to generateGate is not unitary'); + } // Again, Turn the gate order into an array, so that it can be // reduced later. - var _gateOrder = []; + var _gateOrder2 = []; for (var _i3 = 1; _i3 <= numQubits; _i3++) { if (_i3 === qubit1) { - _gateOrder.push(mainGate); + _gateOrder2.push(_mainGate); } else { - _gateOrder.push(_identity); + _gateOrder2.push(_identity2); } } // Reduce and return the expanded gate. - return _gateOrder.reduce(function (a, b) { + return _gateOrder2.reduce(function (a, b) { return math.kron(a, b); }); } + + // Doesn't match a default case, return an Id gate + return math.eye(math.pow(2, numQubits), 'sparse'); } }, { key: 'X', @@ -12940,50 +13014,6 @@ var qics = module.exports = gates; -/***/ }, -/* 80 */ -/***/ function(module, exports, __webpack_require__) { - - var core = __webpack_require__(142); - - /** - * math.js factory function. Creates a new instance of math.js - * - * @param {Object} [config] Available configuration options: - * {number} epsilon - * Minimum relative difference between two - * compared values, used by all comparison functions. - * {string} matrix - * A string 'matrix' (default) or 'array'. - * {string} number - * A string 'number' (default), 'bignumber', or - * 'fraction' - * {number} precision - * The number of significant digits for BigNumbers. - * Not applicable for Numbers. - * {boolean} predictable - * Predictable output type of functions. When true, - * output type depends only on the input types. When - * false (default), output type can vary depending - * on input values. For example `math.sqrt(-2)` - * returns `NaN` when predictable is false, and - * returns `complex('2i')` when true. - */ - function create (config) { - // create a new math.js instance - var math = core.create(config); - math.create = create; - - // import data types, functions, constants, expression parser, etc. - math['import'](__webpack_require__(474)); - - return math; - } - - // return a new instance of math.js - module.exports = create(); - - /***/ }, /* 81 */ /***/ function(module, exports, __webpack_require__) { @@ -13200,39 +13230,39 @@ var qics = // construction functions - docs.bignumber = __webpack_require__(165); - docs['boolean'] = __webpack_require__(166); - docs.complex = __webpack_require__(167); - docs.createUnit = __webpack_require__(168); - docs.fraction = __webpack_require__(169); - docs.index = __webpack_require__(170); - docs.matrix = __webpack_require__(171); - docs.number = __webpack_require__(172); - docs.sparse = __webpack_require__(173); - docs.splitUnit = __webpack_require__(174); - docs.string = __webpack_require__(175); - docs.unit = __webpack_require__(176); + docs.bignumber = __webpack_require__(166); + docs['boolean'] = __webpack_require__(167); + docs.complex = __webpack_require__(168); + docs.createUnit = __webpack_require__(169); + docs.fraction = __webpack_require__(170); + docs.index = __webpack_require__(171); + docs.matrix = __webpack_require__(172); + docs.number = __webpack_require__(173); + docs.sparse = __webpack_require__(174); + docs.splitUnit = __webpack_require__(175); + docs.string = __webpack_require__(176); + docs.unit = __webpack_require__(177); // constants docs.e = __webpack_require__(82); docs.E = __webpack_require__(82); - docs['false'] = __webpack_require__(158); - docs.i = __webpack_require__(159); - docs['Infinity'] = __webpack_require__(150); - docs.LN2 = __webpack_require__(152); - docs.LN10 = __webpack_require__(151); - docs.LOG2E = __webpack_require__(154); - docs.LOG10E = __webpack_require__(153); - docs.NaN = __webpack_require__(155); - docs['null'] = __webpack_require__(160); + docs['false'] = __webpack_require__(159); + docs.i = __webpack_require__(160); + docs['Infinity'] = __webpack_require__(151); + docs.LN2 = __webpack_require__(153); + docs.LN10 = __webpack_require__(152); + docs.LOG2E = __webpack_require__(155); + docs.LOG10E = __webpack_require__(154); + docs.NaN = __webpack_require__(156); + docs['null'] = __webpack_require__(161); docs.pi = __webpack_require__(83); docs.PI = __webpack_require__(83); - docs.phi = __webpack_require__(161); - docs.SQRT1_2 = __webpack_require__(156); - docs.SQRT2 = __webpack_require__(157); - docs.tau = __webpack_require__(162); - docs['true'] = __webpack_require__(163); - docs.version = __webpack_require__(164); + docs.phi = __webpack_require__(162); + docs.SQRT1_2 = __webpack_require__(157); + docs.SQRT2 = __webpack_require__(158); + docs.tau = __webpack_require__(163); + docs['true'] = __webpack_require__(164); + docs.version = __webpack_require__(165); // physical constants // TODO: more detailed docs for physical constants @@ -13295,191 +13325,191 @@ var qics = docs.planckTemperature = {description: 'Planck temperature', examples: ['planckTemperature']}; // functions - algebra - docs.derivative = __webpack_require__(180); - docs.lsolve = __webpack_require__(181); - docs.lup = __webpack_require__(182); - docs.lusolve = __webpack_require__(183); - docs.simplify = __webpack_require__(184); - docs.slu = __webpack_require__(185); - docs.usolve = __webpack_require__(186); + docs.derivative = __webpack_require__(181); + docs.lsolve = __webpack_require__(182); + docs.lup = __webpack_require__(183); + docs.lusolve = __webpack_require__(184); + docs.simplify = __webpack_require__(185); + docs.slu = __webpack_require__(186); + docs.usolve = __webpack_require__(187); // functions - arithmetic - docs.abs = __webpack_require__(187); - docs.add = __webpack_require__(188); - docs.cbrt = __webpack_require__(189); - docs.ceil = __webpack_require__(190); - docs.cube = __webpack_require__(191); - docs.divide = __webpack_require__(192); - docs.dotDivide = __webpack_require__(193); - docs.dotMultiply = __webpack_require__(194); - docs.dotPow = __webpack_require__(195); - docs.exp = __webpack_require__(196); - docs.fix = __webpack_require__(197); - docs.floor = __webpack_require__(198); - docs.gcd = __webpack_require__(199); - docs.hypot = __webpack_require__(200); - docs.lcm = __webpack_require__(201); - docs.log = __webpack_require__(202); - docs.log10 = __webpack_require__(203); - docs.mod = __webpack_require__(204); - docs.multiply = __webpack_require__(205); - docs.norm = __webpack_require__(206); - docs.nthRoot = __webpack_require__(207); - docs.pow = __webpack_require__(208); - docs.round = __webpack_require__(209); - docs.sign = __webpack_require__(210); - docs.sqrt = __webpack_require__(211); - docs.square = __webpack_require__(212); - docs.subtract = __webpack_require__(213); - docs.unaryMinus = __webpack_require__(214); - docs.unaryPlus = __webpack_require__(215); - docs.xgcd = __webpack_require__(216); + docs.abs = __webpack_require__(188); + docs.add = __webpack_require__(189); + docs.cbrt = __webpack_require__(190); + docs.ceil = __webpack_require__(191); + docs.cube = __webpack_require__(192); + docs.divide = __webpack_require__(193); + docs.dotDivide = __webpack_require__(194); + docs.dotMultiply = __webpack_require__(195); + docs.dotPow = __webpack_require__(196); + docs.exp = __webpack_require__(197); + docs.fix = __webpack_require__(198); + docs.floor = __webpack_require__(199); + docs.gcd = __webpack_require__(200); + docs.hypot = __webpack_require__(201); + docs.lcm = __webpack_require__(202); + docs.log = __webpack_require__(203); + docs.log10 = __webpack_require__(204); + docs.mod = __webpack_require__(205); + docs.multiply = __webpack_require__(206); + docs.norm = __webpack_require__(207); + docs.nthRoot = __webpack_require__(208); + docs.pow = __webpack_require__(209); + docs.round = __webpack_require__(210); + docs.sign = __webpack_require__(211); + docs.sqrt = __webpack_require__(212); + docs.square = __webpack_require__(213); + docs.subtract = __webpack_require__(214); + docs.unaryMinus = __webpack_require__(215); + docs.unaryPlus = __webpack_require__(216); + docs.xgcd = __webpack_require__(217); // functions - bitwise - docs.bitAnd = __webpack_require__(217); - docs.bitNot = __webpack_require__(218); - docs.bitOr = __webpack_require__(219); - docs.bitXor = __webpack_require__(220); - docs.leftShift = __webpack_require__(221); - docs.rightArithShift = __webpack_require__(222); - docs.rightLogShift = __webpack_require__(223); + docs.bitAnd = __webpack_require__(218); + docs.bitNot = __webpack_require__(219); + docs.bitOr = __webpack_require__(220); + docs.bitXor = __webpack_require__(221); + docs.leftShift = __webpack_require__(222); + docs.rightArithShift = __webpack_require__(223); + docs.rightLogShift = __webpack_require__(224); // functions - combinatorics - docs.bellNumbers = __webpack_require__(224); - docs.catalan = __webpack_require__(225); - docs.composition = __webpack_require__(226); - docs.stirlingS2 = __webpack_require__(227); + docs.bellNumbers = __webpack_require__(225); + docs.catalan = __webpack_require__(226); + docs.composition = __webpack_require__(227); + docs.stirlingS2 = __webpack_require__(228); // functions - core - docs['config'] = __webpack_require__(177); - docs['import'] = __webpack_require__(178); - docs['typed'] = __webpack_require__(179); + docs['config'] = __webpack_require__(178); + docs['import'] = __webpack_require__(179); + docs['typed'] = __webpack_require__(180); // functions - complex - docs.arg = __webpack_require__(228); - docs.conj = __webpack_require__(229); - docs.re = __webpack_require__(231); - docs.im = __webpack_require__(230); + docs.arg = __webpack_require__(229); + docs.conj = __webpack_require__(230); + docs.re = __webpack_require__(232); + docs.im = __webpack_require__(231); // functions - expression - docs['eval'] = __webpack_require__(232); - docs.help = __webpack_require__(233); + docs['eval'] = __webpack_require__(233); + docs.help = __webpack_require__(234); // functions - geometry - docs.distance = __webpack_require__(234); - docs.intersect = __webpack_require__(235); + docs.distance = __webpack_require__(235); + docs.intersect = __webpack_require__(236); // functions - logical - docs['and'] = __webpack_require__(236); - docs['not'] = __webpack_require__(237); - docs['or'] = __webpack_require__(238); - docs['xor'] = __webpack_require__(239); + docs['and'] = __webpack_require__(237); + docs['not'] = __webpack_require__(238); + docs['or'] = __webpack_require__(239); + docs['xor'] = __webpack_require__(240); // functions - matrix - docs['concat'] = __webpack_require__(240); - docs.cross = __webpack_require__(241); - docs.det = __webpack_require__(242); - docs.diag = __webpack_require__(243); - docs.dot = __webpack_require__(244); - docs.eye = __webpack_require__(245); - docs.filter = __webpack_require__(246); - docs.flatten = __webpack_require__(247); - docs.forEach = __webpack_require__(248); - docs.inv = __webpack_require__(249); - docs.kron = __webpack_require__(250); - docs.map = __webpack_require__(251); - docs.ones = __webpack_require__(252); - docs.partitionSelect = __webpack_require__(253); - docs.range = __webpack_require__(254); - docs.resize = __webpack_require__(255); - docs.size = __webpack_require__(256); - docs.sort = __webpack_require__(257); - docs.squeeze = __webpack_require__(258); - docs.subset = __webpack_require__(259); - docs.trace = __webpack_require__(260); - docs.transpose = __webpack_require__(261); - docs.zeros = __webpack_require__(262); + docs['concat'] = __webpack_require__(241); + docs.cross = __webpack_require__(242); + docs.det = __webpack_require__(243); + docs.diag = __webpack_require__(244); + docs.dot = __webpack_require__(245); + docs.eye = __webpack_require__(246); + docs.filter = __webpack_require__(247); + docs.flatten = __webpack_require__(248); + docs.forEach = __webpack_require__(249); + docs.inv = __webpack_require__(250); + docs.kron = __webpack_require__(251); + docs.map = __webpack_require__(252); + docs.ones = __webpack_require__(253); + docs.partitionSelect = __webpack_require__(254); + docs.range = __webpack_require__(255); + docs.resize = __webpack_require__(256); + docs.size = __webpack_require__(257); + docs.sort = __webpack_require__(258); + docs.squeeze = __webpack_require__(259); + docs.subset = __webpack_require__(260); + docs.trace = __webpack_require__(261); + docs.transpose = __webpack_require__(262); + docs.zeros = __webpack_require__(263); // functions - probability - docs.combinations = __webpack_require__(263); + docs.combinations = __webpack_require__(264); //docs.distribution = require('./function/probability/distribution'); - docs.factorial = __webpack_require__(264); - docs.gamma = __webpack_require__(265); - docs.kldivergence = __webpack_require__(266); - docs.multinomial = __webpack_require__(267); - docs.permutations = __webpack_require__(268); - docs.pickRandom = __webpack_require__(269); - docs.random = __webpack_require__(270); - docs.randomInt = __webpack_require__(271); + docs.factorial = __webpack_require__(265); + docs.gamma = __webpack_require__(266); + docs.kldivergence = __webpack_require__(267); + docs.multinomial = __webpack_require__(268); + docs.permutations = __webpack_require__(269); + docs.pickRandom = __webpack_require__(270); + docs.random = __webpack_require__(271); + docs.randomInt = __webpack_require__(272); // functions - relational - docs.compare = __webpack_require__(272); - docs.deepEqual = __webpack_require__(273); - docs['equal'] = __webpack_require__(274); - docs.larger = __webpack_require__(275); - docs.largerEq = __webpack_require__(276); - docs.smaller = __webpack_require__(277); - docs.smallerEq = __webpack_require__(278); - docs.unequal = __webpack_require__(279); + docs.compare = __webpack_require__(273); + docs.deepEqual = __webpack_require__(274); + docs['equal'] = __webpack_require__(275); + docs.larger = __webpack_require__(276); + docs.largerEq = __webpack_require__(277); + docs.smaller = __webpack_require__(278); + docs.smallerEq = __webpack_require__(279); + docs.unequal = __webpack_require__(280); // functions - special - docs.erf = __webpack_require__(280); + docs.erf = __webpack_require__(281); // functions - statistics - docs.mad = __webpack_require__(281); - docs.max = __webpack_require__(282); - docs.mean = __webpack_require__(283); - docs.median = __webpack_require__(284); - docs.min = __webpack_require__(285); - docs.mode = __webpack_require__(286); - docs.prod = __webpack_require__(287); - docs.quantileSeq = __webpack_require__(288); - docs.std = __webpack_require__(289); - docs.sum = __webpack_require__(290); - docs['var'] = __webpack_require__(291); + docs.mad = __webpack_require__(282); + docs.max = __webpack_require__(283); + docs.mean = __webpack_require__(284); + docs.median = __webpack_require__(285); + docs.min = __webpack_require__(286); + docs.mode = __webpack_require__(287); + docs.prod = __webpack_require__(288); + docs.quantileSeq = __webpack_require__(289); + docs.std = __webpack_require__(290); + docs.sum = __webpack_require__(291); + docs['var'] = __webpack_require__(292); // functions - trigonometry - docs.acos = __webpack_require__(292); - docs.acosh = __webpack_require__(293); - docs.acot = __webpack_require__(294); - docs.acoth = __webpack_require__(295); - docs.acsc = __webpack_require__(296); - docs.acsch = __webpack_require__(297); - docs.asec = __webpack_require__(298); - docs.asech = __webpack_require__(299); - docs.asin = __webpack_require__(300); - docs.asinh = __webpack_require__(301); - docs.atan = __webpack_require__(302); - docs.atanh = __webpack_require__(304); - docs.atan2 = __webpack_require__(303); - docs.cos = __webpack_require__(305); - docs.cosh = __webpack_require__(306); - docs.cot = __webpack_require__(307); - docs.coth = __webpack_require__(308); - docs.csc = __webpack_require__(309); - docs.csch = __webpack_require__(310); - docs.sec = __webpack_require__(311); - docs.sech = __webpack_require__(312); - docs.sin = __webpack_require__(313); - docs.sinh = __webpack_require__(314); - docs.tan = __webpack_require__(315); - docs.tanh = __webpack_require__(316); + docs.acos = __webpack_require__(293); + docs.acosh = __webpack_require__(294); + docs.acot = __webpack_require__(295); + docs.acoth = __webpack_require__(296); + docs.acsc = __webpack_require__(297); + docs.acsch = __webpack_require__(298); + docs.asec = __webpack_require__(299); + docs.asech = __webpack_require__(300); + docs.asin = __webpack_require__(301); + docs.asinh = __webpack_require__(302); + docs.atan = __webpack_require__(303); + docs.atanh = __webpack_require__(305); + docs.atan2 = __webpack_require__(304); + docs.cos = __webpack_require__(306); + docs.cosh = __webpack_require__(307); + docs.cot = __webpack_require__(308); + docs.coth = __webpack_require__(309); + docs.csc = __webpack_require__(310); + docs.csch = __webpack_require__(311); + docs.sec = __webpack_require__(312); + docs.sech = __webpack_require__(313); + docs.sin = __webpack_require__(314); + docs.sinh = __webpack_require__(315); + docs.tan = __webpack_require__(316); + docs.tanh = __webpack_require__(317); // functions - units - docs.to = __webpack_require__(317); + docs.to = __webpack_require__(318); // functions - utils - docs.clone = __webpack_require__(318); - docs.format = __webpack_require__(319); - docs.isNaN = __webpack_require__(321); - docs.isInteger = __webpack_require__(320); - docs.isNegative = __webpack_require__(322); - docs.isNumeric = __webpack_require__(323); - docs.isPositive = __webpack_require__(324); - docs.isPrime = __webpack_require__(325); - docs.isZero = __webpack_require__(326); + docs.clone = __webpack_require__(319); + docs.format = __webpack_require__(320); + docs.isNaN = __webpack_require__(322); + docs.isInteger = __webpack_require__(321); + docs.isNegative = __webpack_require__(323); + docs.isNumeric = __webpack_require__(324); + docs.isPositive = __webpack_require__(325); + docs.isPrime = __webpack_require__(326); + docs.isZero = __webpack_require__(327); // docs.print = require('./function/utils/print'); // TODO: add documentation for print as soon as the parser supports objects. - docs['typeof'] = __webpack_require__(327); + docs['typeof'] = __webpack_require__(328); return docs; } @@ -13732,12 +13762,12 @@ var qics = function factory (type, config, load, typed) { var Node = load(__webpack_require__(12)); - var ArrayNode = load(__webpack_require__(63)); + var ArrayNode = load(__webpack_require__(64)); var matrix = load(__webpack_require__(2)); - var assign = load(__webpack_require__(336)); + var assign = load(__webpack_require__(337)); var access = load(__webpack_require__(93)); - var keywords = __webpack_require__(62); + var keywords = __webpack_require__(63); var operators = __webpack_require__(46); /** @@ -14335,7 +14365,7 @@ var qics = 'use strict'; - var keywords = __webpack_require__(62); + var keywords = __webpack_require__(63); var latex = __webpack_require__(4); var operators = __webpack_require__(46); @@ -14508,7 +14538,7 @@ var qics = function factory (type, config, load, typed) { var Node = load(__webpack_require__(12)); - var RangeNode = load(__webpack_require__(64)); + var RangeNode = load(__webpack_require__(65)); var SymbolNode = load(__webpack_require__(25)); var Range = load(__webpack_require__(130)); @@ -15340,8 +15370,8 @@ var qics = function factory (type, config, load, typed) { - var cs_sqr = load(__webpack_require__(364)); - var cs_lu = load(__webpack_require__(359)); + var cs_sqr = load(__webpack_require__(365)); + var cs_lu = load(__webpack_require__(360)); /** * Calculate the Sparse Matrix LU decomposition with full pivoting. Sparse Matrix `A` is decomposed in two matrices (`L`, `U`) and two permutation vectors (`pinv`, `q`) where @@ -15419,7 +15449,7 @@ var qics = var ParenthesisNode = load(__webpack_require__(50)); var SymbolNode = load(__webpack_require__(25)); var Node = load(__webpack_require__(12)); - var simplifyConstant = load(__webpack_require__(350)); + var simplifyConstant = load(__webpack_require__(351)); var util = load(__webpack_require__(97)); var isCommutative = util.isCommutative; @@ -16197,7 +16227,7 @@ var qics = var subtract = load(__webpack_require__(19)); var equalScalar = load(__webpack_require__(9)); - var solveValidation = load(__webpack_require__(65)); + var solveValidation = load(__webpack_require__(66)); var DenseMatrix = type.DenseMatrix; @@ -16390,7 +16420,7 @@ var qics = var subtract = load(__webpack_require__(19)); var equalScalar = load(__webpack_require__(9)); - var solveValidation = load(__webpack_require__(65)); + var solveValidation = load(__webpack_require__(66)); var DenseMatrix = type.DenseMatrix; @@ -16578,7 +16608,7 @@ var qics = function factory (type, config, load) { - var cs_flip = load(__webpack_require__(66)); + var cs_flip = load(__webpack_require__(67)); /** * Marks the node at w[j] @@ -17677,7 +17707,7 @@ var qics = var multiply = load(__webpack_require__(11)); var unaryMinus = load(__webpack_require__(37)); var det = load(__webpack_require__(109)); - var eye = load(__webpack_require__(67)); + var eye = load(__webpack_require__(68)); /** * Calculate the inverse of a square matrix. @@ -18925,7 +18955,7 @@ var qics = var add = load(__webpack_require__(18)); var divide = load(__webpack_require__(17)); var compare = load(__webpack_require__(47)); - var partitionSelect = load(__webpack_require__(69)); + var partitionSelect = load(__webpack_require__(70)); /** * Compute the median of a matrix or a list with values. The values are @@ -19721,7 +19751,7 @@ var qics = /* 127 */ /***/ function(module, exports, __webpack_require__) { - var Complex = __webpack_require__(139); + var Complex = __webpack_require__(140); var format = __webpack_require__(3).format; var isNumber = __webpack_require__(3).isNumber; @@ -19992,7 +20022,7 @@ var qics = var validateIndex = array.validateIndex; function factory (type, config, load, typed) { - var Matrix = load(__webpack_require__(73)); // force loading Matrix (do not use via type.Matrix) + var Matrix = load(__webpack_require__(74)); // force loading Matrix (do not use via type.Matrix) /** * Dense Matrix implementation. A regular, dense matrix, supporting multi-dimensional matrices. This is the default matrix type. @@ -21405,11 +21435,11 @@ var qics = var pow = load(__webpack_require__(36)); var abs = load(__webpack_require__(26)); var fix = load(__webpack_require__(104)); - var equal = load(__webpack_require__(71)); - var isNumeric = load(__webpack_require__(72)); + var equal = load(__webpack_require__(72)); + var isNumeric = load(__webpack_require__(73)); var format = load(__webpack_require__(123)); var getTypeOf = load(__webpack_require__(126)); - var toNumber = load(__webpack_require__(76)); + var toNumber = load(__webpack_require__(77)); var Complex = load(__webpack_require__(127)); /** @@ -22370,7 +22400,7 @@ var qics = } } } - var util = __webpack_require__(519); + var util = __webpack_require__(520); // Is the proposed unit list "simpler" than the existing one? if(proposedUnitList.length < this.units.length && !missingBaseDim) { @@ -24667,7 +24697,7 @@ var qics = /* 135 */ /***/ function(module, exports, __webpack_require__) { - var Emitter = __webpack_require__(515); + var Emitter = __webpack_require__(516); /** * Extend given object with emitter functions `on`, `off`, `once`, `emit` @@ -24721,9 +24751,9 @@ var qics = function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } } - var math = __webpack_require__(80); - var weighted = __webpack_require__(520); - var gates = __webpack_require__(79); + var math = __webpack_require__(62); + var weighted = __webpack_require__(521); + var gates = __webpack_require__(80); var Register = function () { // This is the constructor for the Register, it takes a parameter @@ -24735,9 +24765,10 @@ var qics = // The number of amplitudes needed is 2^n, Where N is the number of qubits. // The math.zeros function Creates a matrix of 0s, ie. math.zeros(5) = [0, // 0, 0, 0, 0] - this.amplitudes = math.zeros(math.pow(2, numQubits)).toArray(); + this.amplitudes = math.matrix([math.zeros(math.pow(2, numQubits)).toArray()], 'sparse'); + // Set the chance of getting all Zeros to 1 - this.amplitudes[0] = 1; + this.amplitudes = math.subset(this.amplitudes, math.index(0, 0), 1); // Set the fact it has not been measured this.measured = false; } @@ -24762,6 +24793,7 @@ var qics = // Get the gate from the generateGates function, and then multiply the // amplitude vector against it var gateMatrix = gates.generateGate(gate, this.numQubits, qubit1, qubit2); + this.amplitudes = math.multiply(this.amplitudes, gateMatrix); } } @@ -24809,6 +24841,49 @@ var qics = /***/ }, /* 139 */ +/***/ function(module, exports, __webpack_require__) { + + 'use strict'; + + var math = __webpack_require__(62); + + // Finds the sum of all the elements in an array + var sum = function sum(array) { + var total = 0; + math.forEach(array, function (val) { + // Itterate through the array, adding to the total variable + total += val; + }); + + // Return the sum + return total; + }; + + // Checks to if a matrix is unitary. Accepts a mathjs matrix or + // array, and returns true or false accordingly + var isUnitary = function isUnitary(matrix) { + // A Square matrix is unitary if its conjugate transpose is + // equal to its inverse + var givenMatrix = math.matrix(matrix, 'sparse'); + + // Check if its Square + if (math.size(givenMatrix)[0] !== math.size(givenMatrix)[1]) { + return false; + } + + var conjugateTranspose = math.transpose(math.conj(givenMatrix)); + var inverse = math.inv(givenMatrix); + + return math.deepEqual(inverse, conjugateTranspose); + }; + + module.exports = { + sum: sum, + isUnitary: isUnitary + }; + +/***/ }, +/* 140 */ /***/ function(module, exports, __webpack_require__) { var __WEBPACK_AMD_DEFINE_ARRAY__, __WEBPACK_AMD_DEFINE_RESULT__;/* WEBPACK VAR INJECTION */(function(module) {/** @@ -25998,7 +26073,7 @@ var qics = /* WEBPACK VAR INJECTION */}.call(exports, __webpack_require__(137)(module))) /***/ }, -/* 140 */ +/* 141 */ /***/ function(module, exports, __webpack_require__) { var __WEBPACK_AMD_DEFINE_RESULT__;/*! decimal.js v5.0.8 https://github.com/MikeMcl/decimal.js/LICENCE */ @@ -31025,7 +31100,7 @@ var qics = /***/ }, -/* 141 */ +/* 142 */ /***/ function(module, exports, __webpack_require__) { var __WEBPACK_AMD_DEFINE_ARRAY__, __WEBPACK_AMD_DEFINE_RESULT__;/* WEBPACK VAR INJECTION */(function(module) {/** @@ -31811,13 +31886,13 @@ var qics = /* WEBPACK VAR INJECTION */}.call(exports, __webpack_require__(137)(module))) /***/ }, -/* 142 */ +/* 143 */ /***/ function(module, exports, __webpack_require__) { - module.exports = __webpack_require__(144); + module.exports = __webpack_require__(145); /***/ }, -/* 143 */ +/* 144 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -31882,7 +31957,7 @@ var qics = math.i = type.Complex.I; // meta information - math.version = __webpack_require__(513); + math.version = __webpack_require__(514); } exports.factory = factory; @@ -31890,16 +31965,16 @@ var qics = exports.math = true; // request access to the math namespace /***/ }, -/* 144 */ +/* 145 */ /***/ function(module, exports, __webpack_require__) { var isFactory = __webpack_require__(5).isFactory; var deepExtend = __webpack_require__(5).deepExtend; - var typedFactory = __webpack_require__(147); + var typedFactory = __webpack_require__(148); var emitter = __webpack_require__(135); - var importFactory = __webpack_require__(146); - var configFactory = __webpack_require__(145); + var importFactory = __webpack_require__(147); + var configFactory = __webpack_require__(146); /** * Math.js core. Creates a new, empty math.js instance @@ -32021,7 +32096,7 @@ var qics = /***/ }, -/* 145 */ +/* 146 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -32146,7 +32221,7 @@ var qics = /***/ }, -/* 146 */ +/* 147 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -32418,10 +32493,10 @@ var qics = /***/ }, -/* 147 */ +/* 148 */ /***/ function(module, exports, __webpack_require__) { - var typedFunction = __webpack_require__(516); + var typedFunction = __webpack_require__(517); var digits = __webpack_require__(3).digits; // returns a new instance of typed-function @@ -32627,7 +32702,7 @@ var qics = /***/ }, -/* 148 */ +/* 149 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -32663,7 +32738,7 @@ var qics = /***/ }, -/* 149 */ +/* 150 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -32786,7 +32861,7 @@ var qics = /***/ }, -/* 150 */ +/* 151 */ /***/ function(module, exports) { module.exports = { @@ -32805,7 +32880,7 @@ var qics = /***/ }, -/* 151 */ +/* 152 */ /***/ function(module, exports) { module.exports = { @@ -32824,7 +32899,7 @@ var qics = /***/ }, -/* 152 */ +/* 153 */ /***/ function(module, exports) { module.exports = { @@ -32843,7 +32918,7 @@ var qics = /***/ }, -/* 153 */ +/* 154 */ /***/ function(module, exports) { module.exports = { @@ -32862,7 +32937,7 @@ var qics = /***/ }, -/* 154 */ +/* 155 */ /***/ function(module, exports) { module.exports = { @@ -32881,7 +32956,7 @@ var qics = /***/ }, -/* 155 */ +/* 156 */ /***/ function(module, exports) { module.exports = { @@ -32900,7 +32975,7 @@ var qics = /***/ }, -/* 156 */ +/* 157 */ /***/ function(module, exports) { module.exports = { @@ -32919,7 +32994,7 @@ var qics = /***/ }, -/* 157 */ +/* 158 */ /***/ function(module, exports) { module.exports = { @@ -32938,7 +33013,7 @@ var qics = /***/ }, -/* 158 */ +/* 159 */ /***/ function(module, exports) { module.exports = { @@ -32956,7 +33031,7 @@ var qics = /***/ }, -/* 159 */ +/* 160 */ /***/ function(module, exports) { module.exports = { @@ -32976,7 +33051,7 @@ var qics = /***/ }, -/* 160 */ +/* 161 */ /***/ function(module, exports) { module.exports = { @@ -32994,7 +33069,7 @@ var qics = /***/ }, -/* 161 */ +/* 162 */ /***/ function(module, exports) { module.exports = { @@ -33012,7 +33087,7 @@ var qics = /***/ }, -/* 162 */ +/* 163 */ /***/ function(module, exports) { module.exports = { @@ -33031,7 +33106,7 @@ var qics = /***/ }, -/* 163 */ +/* 164 */ /***/ function(module, exports) { module.exports = { @@ -33049,7 +33124,7 @@ var qics = /***/ }, -/* 164 */ +/* 165 */ /***/ function(module, exports) { module.exports = { @@ -33067,7 +33142,7 @@ var qics = /***/ }, -/* 165 */ +/* 166 */ /***/ function(module, exports) { module.exports = { @@ -33092,7 +33167,7 @@ var qics = /***/ }, -/* 166 */ +/* 167 */ /***/ function(module, exports) { module.exports = { @@ -33119,7 +33194,7 @@ var qics = /***/ }, -/* 167 */ +/* 168 */ /***/ function(module, exports) { module.exports = { @@ -33144,7 +33219,7 @@ var qics = /***/ }, -/* 168 */ +/* 169 */ /***/ function(module, exports) { module.exports = { @@ -33168,7 +33243,7 @@ var qics = /***/ }, -/* 169 */ +/* 170 */ /***/ function(module, exports) { module.exports = { @@ -33191,7 +33266,7 @@ var qics = /***/ }, -/* 170 */ +/* 171 */ /***/ function(module, exports) { module.exports = { @@ -33222,7 +33297,7 @@ var qics = /***/ }, -/* 171 */ +/* 172 */ /***/ function(module, exports) { module.exports = { @@ -33253,7 +33328,7 @@ var qics = /***/ }, -/* 172 */ +/* 173 */ /***/ function(module, exports) { module.exports = { @@ -33282,7 +33357,7 @@ var qics = /***/ }, -/* 173 */ +/* 174 */ /***/ function(module, exports) { module.exports = { @@ -33307,7 +33382,7 @@ var qics = /***/ }, -/* 174 */ +/* 175 */ /***/ function(module, exports) { module.exports = { @@ -33328,7 +33403,7 @@ var qics = /***/ }, -/* 175 */ +/* 176 */ /***/ function(module, exports) { module.exports = { @@ -33352,7 +33427,7 @@ var qics = /***/ }, -/* 176 */ +/* 177 */ /***/ function(module, exports) { module.exports = { @@ -33378,7 +33453,7 @@ var qics = /***/ }, -/* 177 */ +/* 178 */ /***/ function(module, exports) { module.exports = { @@ -33400,7 +33475,7 @@ var qics = /***/ }, -/* 178 */ +/* 179 */ /***/ function(module, exports) { module.exports = { @@ -33421,7 +33496,7 @@ var qics = /***/ }, -/* 179 */ +/* 180 */ /***/ function(module, exports) { module.exports = { @@ -33442,7 +33517,7 @@ var qics = /***/ }, -/* 180 */ +/* 181 */ /***/ function(module, exports) { module.exports = { @@ -33470,7 +33545,7 @@ var qics = /***/ }, -/* 181 */ +/* 182 */ /***/ function(module, exports) { module.exports = { @@ -33493,7 +33568,7 @@ var qics = /***/ }, -/* 182 */ +/* 183 */ /***/ function(module, exports) { module.exports = { @@ -33516,7 +33591,7 @@ var qics = /***/ }, -/* 183 */ +/* 184 */ /***/ function(module, exports) { module.exports = { @@ -33539,7 +33614,7 @@ var qics = /***/ }, -/* 184 */ +/* 185 */ /***/ function(module, exports) { module.exports = { @@ -33564,7 +33639,7 @@ var qics = /***/ }, -/* 185 */ +/* 186 */ /***/ function(module, exports) { module.exports = { @@ -33584,7 +33659,7 @@ var qics = /***/ }, -/* 186 */ +/* 187 */ /***/ function(module, exports) { module.exports = { @@ -33605,7 +33680,7 @@ var qics = /***/ }, -/* 187 */ +/* 188 */ /***/ function(module, exports) { module.exports = { @@ -33624,7 +33699,7 @@ var qics = /***/ }, -/* 188 */ +/* 189 */ /***/ function(module, exports) { module.exports = { @@ -33649,7 +33724,7 @@ var qics = /***/ }, -/* 189 */ +/* 190 */ /***/ function(module, exports) { module.exports = { @@ -33680,7 +33755,7 @@ var qics = /***/ }, -/* 190 */ +/* 191 */ /***/ function(module, exports) { module.exports = { @@ -33701,7 +33776,7 @@ var qics = /***/ }, -/* 191 */ +/* 192 */ /***/ function(module, exports) { module.exports = { @@ -33725,7 +33800,7 @@ var qics = /***/ }, -/* 192 */ +/* 193 */ /***/ function(module, exports) { module.exports = { @@ -33751,7 +33826,7 @@ var qics = /***/ }, -/* 193 */ +/* 194 */ /***/ function(module, exports) { module.exports = { @@ -33776,7 +33851,7 @@ var qics = /***/ }, -/* 194 */ +/* 195 */ /***/ function(module, exports) { module.exports = { @@ -33801,7 +33876,7 @@ var qics = /***/ }, -/* 195 */ +/* 196 */ /***/ function(module, exports) { module.exports = { @@ -33824,7 +33899,7 @@ var qics = /***/ }, -/* 196 */ +/* 197 */ /***/ function(module, exports) { module.exports = { @@ -33849,7 +33924,7 @@ var qics = /***/ }, -/* 197 */ +/* 198 */ /***/ function(module, exports) { module.exports = { @@ -33871,7 +33946,7 @@ var qics = /***/ }, -/* 198 */ +/* 199 */ /***/ function(module, exports) { module.exports = { @@ -33892,7 +33967,7 @@ var qics = /***/ }, -/* 199 */ +/* 200 */ /***/ function(module, exports) { module.exports = { @@ -33913,7 +33988,7 @@ var qics = /***/ }, -/* 200 */ +/* 201 */ /***/ function(module, exports) { module.exports = { @@ -33935,7 +34010,7 @@ var qics = /***/ }, -/* 201 */ +/* 202 */ /***/ function(module, exports) { module.exports = { @@ -33955,7 +34030,7 @@ var qics = /***/ }, -/* 202 */ +/* 203 */ /***/ function(module, exports) { module.exports = { @@ -33983,7 +34058,7 @@ var qics = }; /***/ }, -/* 203 */ +/* 204 */ /***/ function(module, exports) { module.exports = { @@ -34008,7 +34083,7 @@ var qics = /***/ }, -/* 204 */ +/* 205 */ /***/ function(module, exports) { module.exports = { @@ -34034,7 +34109,7 @@ var qics = /***/ }, -/* 205 */ +/* 206 */ /***/ function(module, exports) { module.exports = { @@ -34059,7 +34134,7 @@ var qics = /***/ }, -/* 206 */ +/* 207 */ /***/ function(module, exports) { module.exports = { @@ -34085,7 +34160,7 @@ var qics = /***/ }, -/* 207 */ +/* 208 */ /***/ function(module, exports) { module.exports = { @@ -34111,7 +34186,7 @@ var qics = }; /***/ }, -/* 208 */ +/* 209 */ /***/ function(module, exports) { module.exports = { @@ -34133,7 +34208,7 @@ var qics = /***/ }, -/* 209 */ +/* 210 */ /***/ function(module, exports) { module.exports = { @@ -34158,7 +34233,7 @@ var qics = /***/ }, -/* 210 */ +/* 211 */ /***/ function(module, exports) { module.exports = { @@ -34181,7 +34256,7 @@ var qics = /***/ }, -/* 211 */ +/* 212 */ /***/ function(module, exports) { module.exports = { @@ -34205,7 +34280,7 @@ var qics = /***/ }, -/* 212 */ +/* 213 */ /***/ function(module, exports) { module.exports = { @@ -34232,7 +34307,7 @@ var qics = /***/ }, -/* 213 */ +/* 214 */ /***/ function(module, exports) { module.exports = { @@ -34257,7 +34332,7 @@ var qics = /***/ }, -/* 214 */ +/* 215 */ /***/ function(module, exports) { module.exports = { @@ -34281,7 +34356,7 @@ var qics = /***/ }, -/* 215 */ +/* 216 */ /***/ function(module, exports) { module.exports = { @@ -34304,7 +34379,7 @@ var qics = /***/ }, -/* 216 */ +/* 217 */ /***/ function(module, exports) { module.exports = { @@ -34324,7 +34399,7 @@ var qics = /***/ }, -/* 217 */ +/* 218 */ /***/ function(module, exports) { module.exports = { @@ -34347,7 +34422,7 @@ var qics = /***/ }, -/* 218 */ +/* 219 */ /***/ function(module, exports) { module.exports = { @@ -34370,7 +34445,7 @@ var qics = /***/ }, -/* 219 */ +/* 220 */ /***/ function(module, exports) { module.exports = { @@ -34392,7 +34467,7 @@ var qics = /***/ }, -/* 220 */ +/* 221 */ /***/ function(module, exports) { module.exports = { @@ -34413,7 +34488,7 @@ var qics = /***/ }, -/* 221 */ +/* 222 */ /***/ function(module, exports) { module.exports = { @@ -34435,7 +34510,7 @@ var qics = /***/ }, -/* 222 */ +/* 223 */ /***/ function(module, exports) { module.exports = { @@ -34458,7 +34533,7 @@ var qics = /***/ }, -/* 223 */ +/* 224 */ /***/ function(module, exports) { module.exports = { @@ -34481,7 +34556,7 @@ var qics = /***/ }, -/* 224 */ +/* 225 */ /***/ function(module, exports) { module.exports = { @@ -34499,7 +34574,7 @@ var qics = }; /***/ }, -/* 225 */ +/* 226 */ /***/ function(module, exports) { module.exports = { @@ -34517,7 +34592,7 @@ var qics = }; /***/ }, -/* 226 */ +/* 227 */ /***/ function(module, exports) { module.exports = { @@ -34534,7 +34609,7 @@ var qics = }; /***/ }, -/* 227 */ +/* 228 */ /***/ function(module, exports) { module.exports = { @@ -34552,7 +34627,7 @@ var qics = /***/ }, -/* 228 */ +/* 229 */ /***/ function(module, exports) { module.exports = { @@ -34578,7 +34653,7 @@ var qics = /***/ }, -/* 229 */ +/* 230 */ /***/ function(module, exports) { module.exports = { @@ -34604,7 +34679,7 @@ var qics = /***/ }, -/* 230 */ +/* 231 */ /***/ function(module, exports) { module.exports = { @@ -34630,7 +34705,7 @@ var qics = /***/ }, -/* 231 */ +/* 232 */ /***/ function(module, exports) { module.exports = { @@ -34656,7 +34731,7 @@ var qics = /***/ }, -/* 232 */ +/* 233 */ /***/ function(module, exports) { module.exports = { @@ -34676,7 +34751,7 @@ var qics = /***/ }, -/* 233 */ +/* 234 */ /***/ function(module, exports) { module.exports = { @@ -34696,7 +34771,7 @@ var qics = /***/ }, -/* 234 */ +/* 235 */ /***/ function(module, exports) { module.exports = { @@ -34716,7 +34791,7 @@ var qics = /***/ }, -/* 235 */ +/* 236 */ /***/ function(module, exports) { module.exports = { @@ -34736,7 +34811,7 @@ var qics = /***/ }, -/* 236 */ +/* 237 */ /***/ function(module, exports) { module.exports = { @@ -34759,7 +34834,7 @@ var qics = /***/ }, -/* 237 */ +/* 238 */ /***/ function(module, exports) { module.exports = { @@ -34783,7 +34858,7 @@ var qics = /***/ }, -/* 238 */ +/* 239 */ /***/ function(module, exports) { module.exports = { @@ -34806,7 +34881,7 @@ var qics = /***/ }, -/* 239 */ +/* 240 */ /***/ function(module, exports) { module.exports = { @@ -34830,7 +34905,7 @@ var qics = /***/ }, -/* 240 */ +/* 241 */ /***/ function(module, exports) { module.exports = { @@ -34855,7 +34930,7 @@ var qics = /***/ }, -/* 241 */ +/* 242 */ /***/ function(module, exports) { module.exports = { @@ -34878,7 +34953,7 @@ var qics = /***/ }, -/* 242 */ +/* 243 */ /***/ function(module, exports) { module.exports = { @@ -34899,7 +34974,7 @@ var qics = /***/ }, -/* 243 */ +/* 244 */ /***/ function(module, exports) { module.exports = { @@ -34923,7 +34998,7 @@ var qics = /***/ }, -/* 244 */ +/* 245 */ /***/ function(module, exports) { module.exports = { @@ -34947,7 +35022,7 @@ var qics = /***/ }, -/* 245 */ +/* 246 */ /***/ function(module, exports) { module.exports = { @@ -34973,7 +35048,7 @@ var qics = /***/ }, -/* 246 */ +/* 247 */ /***/ function(module, exports) { module.exports = { @@ -34993,7 +35068,7 @@ var qics = /***/ }, -/* 247 */ +/* 248 */ /***/ function(module, exports) { module.exports = { @@ -35016,7 +35091,7 @@ var qics = /***/ }, -/* 248 */ +/* 249 */ /***/ function(module, exports) { module.exports = { @@ -35034,7 +35109,7 @@ var qics = /***/ }, -/* 249 */ +/* 250 */ /***/ function(module, exports) { module.exports = { @@ -35056,7 +35131,7 @@ var qics = /***/ }, -/* 250 */ +/* 251 */ /***/ function(module, exports) { module.exports = { @@ -35077,7 +35152,7 @@ var qics = /***/ }, -/* 251 */ +/* 252 */ /***/ function(module, exports) { module.exports = { @@ -35095,7 +35170,7 @@ var qics = /***/ }, -/* 252 */ +/* 253 */ /***/ function(module, exports) { module.exports = { @@ -35125,7 +35200,7 @@ var qics = /***/ }, -/* 253 */ +/* 254 */ /***/ function(module, exports) { module.exports = { @@ -35145,7 +35220,7 @@ var qics = /***/ }, -/* 254 */ +/* 255 */ /***/ function(module, exports) { module.exports = { @@ -35176,7 +35251,7 @@ var qics = /***/ }, -/* 255 */ +/* 256 */ /***/ function(module, exports) { module.exports = { @@ -35201,7 +35276,7 @@ var qics = /***/ }, -/* 256 */ +/* 257 */ /***/ function(module, exports) { module.exports = { @@ -35225,7 +35300,7 @@ var qics = /***/ }, -/* 257 */ +/* 258 */ /***/ function(module, exports) { module.exports = { @@ -35247,7 +35322,7 @@ var qics = /***/ }, -/* 258 */ +/* 259 */ /***/ function(module, exports) { module.exports = { @@ -35270,7 +35345,7 @@ var qics = /***/ }, -/* 259 */ +/* 260 */ /***/ function(module, exports) { module.exports = { @@ -35301,7 +35376,7 @@ var qics = /***/ }, -/* 260 */ +/* 261 */ /***/ function(module, exports) { module.exports = { @@ -35322,7 +35397,7 @@ var qics = /***/ }, -/* 261 */ +/* 262 */ /***/ function(module, exports) { module.exports = { @@ -35345,7 +35420,7 @@ var qics = /***/ }, -/* 262 */ +/* 263 */ /***/ function(module, exports) { module.exports = { @@ -35374,7 +35449,7 @@ var qics = /***/ }, -/* 263 */ +/* 264 */ /***/ function(module, exports) { module.exports = { @@ -35392,7 +35467,7 @@ var qics = /***/ }, -/* 264 */ +/* 265 */ /***/ function(module, exports) { module.exports = { @@ -35412,7 +35487,7 @@ var qics = /***/ }, -/* 265 */ +/* 266 */ /***/ function(module, exports) { module.exports = { @@ -35433,7 +35508,7 @@ var qics = /***/ }, -/* 266 */ +/* 267 */ /***/ function(module, exports) { module.exports = { @@ -35452,7 +35527,7 @@ var qics = /***/ }, -/* 267 */ +/* 268 */ /***/ function(module, exports) { module.exports = { @@ -35469,7 +35544,7 @@ var qics = }; /***/ }, -/* 268 */ +/* 269 */ /***/ function(module, exports) { module.exports = { @@ -35489,7 +35564,7 @@ var qics = /***/ }, -/* 269 */ +/* 270 */ /***/ function(module, exports) { module.exports = { @@ -35517,7 +35592,7 @@ var qics = /***/ }, -/* 270 */ +/* 271 */ /***/ function(module, exports) { module.exports = { @@ -35543,7 +35618,7 @@ var qics = /***/ }, -/* 271 */ +/* 272 */ /***/ function(module, exports) { module.exports = { @@ -35566,7 +35641,7 @@ var qics = }; /***/ }, -/* 272 */ +/* 273 */ /***/ function(module, exports) { module.exports = { @@ -35591,7 +35666,7 @@ var qics = /***/ }, -/* 273 */ +/* 274 */ /***/ function(module, exports) { module.exports = { @@ -35613,7 +35688,7 @@ var qics = /***/ }, -/* 274 */ +/* 275 */ /***/ function(module, exports) { module.exports = { @@ -35640,7 +35715,7 @@ var qics = /***/ }, -/* 275 */ +/* 276 */ /***/ function(module, exports) { module.exports = { @@ -35668,7 +35743,7 @@ var qics = /***/ }, -/* 276 */ +/* 277 */ /***/ function(module, exports) { module.exports = { @@ -35694,7 +35769,7 @@ var qics = /***/ }, -/* 277 */ +/* 278 */ /***/ function(module, exports) { module.exports = { @@ -35721,7 +35796,7 @@ var qics = /***/ }, -/* 278 */ +/* 279 */ /***/ function(module, exports) { module.exports = { @@ -35747,7 +35822,7 @@ var qics = /***/ }, -/* 279 */ +/* 280 */ /***/ function(module, exports) { module.exports = { @@ -35775,7 +35850,7 @@ var qics = /***/ }, -/* 280 */ +/* 281 */ /***/ function(module, exports) { module.exports = { @@ -35795,7 +35870,7 @@ var qics = /***/ }, -/* 281 */ +/* 282 */ /***/ function(module, exports) { module.exports = { @@ -35821,7 +35896,7 @@ var qics = /***/ }, -/* 282 */ +/* 283 */ /***/ function(module, exports) { module.exports = { @@ -35855,7 +35930,7 @@ var qics = /***/ }, -/* 283 */ +/* 284 */ /***/ function(module, exports) { module.exports = { @@ -35888,7 +35963,7 @@ var qics = /***/ }, -/* 284 */ +/* 285 */ /***/ function(module, exports) { module.exports = { @@ -35916,7 +35991,7 @@ var qics = /***/ }, -/* 285 */ +/* 286 */ /***/ function(module, exports) { module.exports = { @@ -35950,7 +36025,7 @@ var qics = /***/ }, -/* 286 */ +/* 287 */ /***/ function(module, exports) { module.exports = { @@ -35980,7 +36055,7 @@ var qics = /***/ }, -/* 287 */ +/* 288 */ /***/ function(module, exports) { module.exports = { @@ -36010,7 +36085,7 @@ var qics = /***/ }, -/* 288 */ +/* 289 */ /***/ function(module, exports) { module.exports = { @@ -36041,7 +36116,7 @@ var qics = }; /***/ }, -/* 289 */ +/* 290 */ /***/ function(module, exports) { module.exports = { @@ -36074,7 +36149,7 @@ var qics = /***/ }, -/* 290 */ +/* 291 */ /***/ function(module, exports) { module.exports = { @@ -36104,7 +36179,7 @@ var qics = /***/ }, -/* 291 */ +/* 292 */ /***/ function(module, exports) { module.exports = { @@ -36137,7 +36212,7 @@ var qics = /***/ }, -/* 292 */ +/* 293 */ /***/ function(module, exports) { module.exports = { @@ -36160,7 +36235,7 @@ var qics = /***/ }, -/* 293 */ +/* 294 */ /***/ function(module, exports) { module.exports = { @@ -36181,7 +36256,7 @@ var qics = }; /***/ }, -/* 294 */ +/* 295 */ /***/ function(module, exports) { module.exports = { @@ -36204,7 +36279,7 @@ var qics = /***/ }, -/* 295 */ +/* 296 */ /***/ function(module, exports) { module.exports = { @@ -36224,7 +36299,7 @@ var qics = }; /***/ }, -/* 296 */ +/* 297 */ /***/ function(module, exports) { module.exports = { @@ -36248,7 +36323,7 @@ var qics = /***/ }, -/* 297 */ +/* 298 */ /***/ function(module, exports) { module.exports = { @@ -36269,7 +36344,7 @@ var qics = /***/ }, -/* 298 */ +/* 299 */ /***/ function(module, exports) { module.exports = { @@ -36293,7 +36368,7 @@ var qics = /***/ }, -/* 299 */ +/* 300 */ /***/ function(module, exports) { module.exports = { @@ -36314,7 +36389,7 @@ var qics = /***/ }, -/* 300 */ +/* 301 */ /***/ function(module, exports) { module.exports = { @@ -36337,7 +36412,7 @@ var qics = /***/ }, -/* 301 */ +/* 302 */ /***/ function(module, exports) { module.exports = { @@ -36358,7 +36433,7 @@ var qics = /***/ }, -/* 302 */ +/* 303 */ /***/ function(module, exports) { module.exports = { @@ -36381,7 +36456,7 @@ var qics = /***/ }, -/* 303 */ +/* 304 */ /***/ function(module, exports) { module.exports = { @@ -36408,7 +36483,7 @@ var qics = /***/ }, -/* 304 */ +/* 305 */ /***/ function(module, exports) { module.exports = { @@ -36429,7 +36504,7 @@ var qics = /***/ }, -/* 305 */ +/* 306 */ /***/ function(module, exports) { module.exports = { @@ -36455,7 +36530,7 @@ var qics = /***/ }, -/* 306 */ +/* 307 */ /***/ function(module, exports) { module.exports = { @@ -36477,7 +36552,7 @@ var qics = /***/ }, -/* 307 */ +/* 308 */ /***/ function(module, exports) { module.exports = { @@ -36500,7 +36575,7 @@ var qics = /***/ }, -/* 308 */ +/* 309 */ /***/ function(module, exports) { module.exports = { @@ -36523,7 +36598,7 @@ var qics = /***/ }, -/* 309 */ +/* 310 */ /***/ function(module, exports) { module.exports = { @@ -36546,7 +36621,7 @@ var qics = /***/ }, -/* 310 */ +/* 311 */ /***/ function(module, exports) { module.exports = { @@ -36569,7 +36644,7 @@ var qics = /***/ }, -/* 311 */ +/* 312 */ /***/ function(module, exports) { module.exports = { @@ -36592,7 +36667,7 @@ var qics = /***/ }, -/* 312 */ +/* 313 */ /***/ function(module, exports) { module.exports = { @@ -36615,7 +36690,7 @@ var qics = /***/ }, -/* 313 */ +/* 314 */ /***/ function(module, exports) { module.exports = { @@ -36641,7 +36716,7 @@ var qics = /***/ }, -/* 314 */ +/* 315 */ /***/ function(module, exports) { module.exports = { @@ -36662,7 +36737,7 @@ var qics = /***/ }, -/* 315 */ +/* 316 */ /***/ function(module, exports) { module.exports = { @@ -36687,7 +36762,7 @@ var qics = /***/ }, -/* 316 */ +/* 317 */ /***/ function(module, exports) { module.exports = { @@ -36709,7 +36784,7 @@ var qics = /***/ }, -/* 317 */ +/* 318 */ /***/ function(module, exports) { module.exports = { @@ -36730,7 +36805,7 @@ var qics = /***/ }, -/* 318 */ +/* 319 */ /***/ function(module, exports) { module.exports = { @@ -36752,7 +36827,7 @@ var qics = /***/ }, -/* 319 */ +/* 320 */ /***/ function(module, exports) { module.exports = { @@ -36774,7 +36849,7 @@ var qics = /***/ }, -/* 320 */ +/* 321 */ /***/ function(module, exports) { module.exports = { @@ -36794,7 +36869,7 @@ var qics = /***/ }, -/* 321 */ +/* 322 */ /***/ function(module, exports) { module.exports = { @@ -36815,7 +36890,7 @@ var qics = /***/ }, -/* 322 */ +/* 323 */ /***/ function(module, exports) { module.exports = { @@ -36836,7 +36911,7 @@ var qics = /***/ }, -/* 323 */ +/* 324 */ /***/ function(module, exports) { module.exports = { @@ -36861,7 +36936,7 @@ var qics = /***/ }, -/* 324 */ +/* 325 */ /***/ function(module, exports) { module.exports = { @@ -36882,7 +36957,7 @@ var qics = /***/ }, -/* 325 */ +/* 326 */ /***/ function(module, exports) { module.exports = { @@ -36901,7 +36976,7 @@ var qics = }; /***/ }, -/* 326 */ +/* 327 */ /***/ function(module, exports) { module.exports = { @@ -36922,7 +36997,7 @@ var qics = /***/ }, -/* 327 */ +/* 328 */ /***/ function(module, exports) { module.exports = { @@ -36943,7 +37018,7 @@ var qics = /***/ }, -/* 328 */ +/* 329 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -37005,7 +37080,7 @@ var qics = /***/ }, -/* 329 */ +/* 330 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -37073,7 +37148,7 @@ var qics = exports.factory = factory; /***/ }, -/* 330 */ +/* 331 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -37143,20 +37218,20 @@ var qics = /***/ }, -/* 331 */ +/* 332 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ - __webpack_require__(328), __webpack_require__(329), __webpack_require__(330), - __webpack_require__(332), + __webpack_require__(331), + __webpack_require__(333), __webpack_require__(85) ]; /***/ }, -/* 332 */ +/* 333 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -37211,23 +37286,23 @@ var qics = /***/ }, -/* 333 */ +/* 334 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ __webpack_require__(84), - __webpack_require__(331), - __webpack_require__(335), - __webpack_require__(340), + __webpack_require__(332), + __webpack_require__(336), + __webpack_require__(341), - __webpack_require__(149), + __webpack_require__(150), __webpack_require__(29), __webpack_require__(81) ]; /***/ }, -/* 334 */ +/* 335 */ /***/ function(module, exports) { 'use strict'; @@ -37250,12 +37325,12 @@ var qics = /***/ }, -/* 335 */ +/* 336 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ __webpack_require__(86), - __webpack_require__(63), + __webpack_require__(64), __webpack_require__(87), __webpack_require__(88), __webpack_require__(89), @@ -37267,14 +37342,14 @@ var qics = __webpack_require__(92), __webpack_require__(49), __webpack_require__(50), - __webpack_require__(64), + __webpack_require__(65), __webpack_require__(25), - __webpack_require__(334) + __webpack_require__(335) ]; /***/ }, -/* 336 */ +/* 337 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -37331,7 +37406,7 @@ var qics = /***/ }, -/* 337 */ +/* 338 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -37377,7 +37452,7 @@ var qics = /***/ }, -/* 338 */ +/* 339 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -37447,7 +37522,7 @@ var qics = /***/ }, -/* 339 */ +/* 340 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -37499,25 +37574,25 @@ var qics = /***/ }, -/* 340 */ +/* 341 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ - __webpack_require__(337), __webpack_require__(338), __webpack_require__(339), - __webpack_require__(341), + __webpack_require__(340), __webpack_require__(342), __webpack_require__(343), __webpack_require__(344), __webpack_require__(345), __webpack_require__(346), - __webpack_require__(347) + __webpack_require__(347), + __webpack_require__(348) ]; /***/ }, -/* 341 */ +/* 342 */ /***/ function(module, exports) { 'use strict'; @@ -37574,7 +37649,7 @@ var qics = /***/ }, -/* 342 */ +/* 343 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -37588,7 +37663,7 @@ var qics = * This transform creates a one-based index instead of a zero-based index */ function factory (type, config, load, typed) { - var map = load(__webpack_require__(68)); + var map = load(__webpack_require__(69)); var matrix = load(__webpack_require__(2)); return typed('max', { @@ -37644,7 +37719,7 @@ var qics = /***/ }, -/* 343 */ +/* 344 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -37691,7 +37766,7 @@ var qics = /***/ }, -/* 344 */ +/* 345 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -37738,7 +37813,7 @@ var qics = /***/ }, -/* 345 */ +/* 346 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -37785,7 +37860,7 @@ var qics = /***/ }, -/* 346 */ +/* 347 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -37819,7 +37894,7 @@ var qics = /***/ }, -/* 347 */ +/* 348 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -37853,7 +37928,7 @@ var qics = /***/ }, -/* 348 */ +/* 349 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -38572,11 +38647,11 @@ var qics = /***/ }, -/* 349 */ +/* 350 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ - __webpack_require__(348), + __webpack_require__(349), // simplify __webpack_require__(96), @@ -38587,13 +38662,13 @@ var qics = // solver __webpack_require__(98), - __webpack_require__(351), + __webpack_require__(352), __webpack_require__(99) ]; /***/ }, -/* 350 */ +/* 351 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -38816,7 +38891,7 @@ var qics = /***/ }, -/* 351 */ +/* 352 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -38828,9 +38903,9 @@ var qics = var matrix = load(__webpack_require__(2)); var lup = load(__webpack_require__(94)); var slu = load(__webpack_require__(95)); - var cs_ipvec = load(__webpack_require__(357)); + var cs_ipvec = load(__webpack_require__(358)); - var solveValidation = load(__webpack_require__(65)); + var solveValidation = load(__webpack_require__(66)); var usolve = load(__webpack_require__(99)); var lsolve = load(__webpack_require__(98)); @@ -38947,15 +39022,15 @@ var qics = /***/ }, -/* 352 */ +/* 353 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; function factory (type, config, load) { - var cs_flip = load(__webpack_require__(66)); - var cs_fkeep = load(__webpack_require__(356)); + var cs_flip = load(__webpack_require__(67)); + var cs_fkeep = load(__webpack_require__(357)); var cs_tdfs = load(__webpack_require__(102)); var add = load(__webpack_require__(16)); @@ -39526,7 +39601,7 @@ var qics = /***/ }, -/* 353 */ +/* 354 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -39535,7 +39610,7 @@ var qics = var transpose = load(__webpack_require__(53)); - var cs_leaf = load(__webpack_require__(358)); + var cs_leaf = load(__webpack_require__(359)); /** * Computes the column counts using the upper triangular part of A. @@ -39653,7 +39728,7 @@ var qics = /***/ }, -/* 354 */ +/* 355 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -39662,7 +39737,7 @@ var qics = var cs_marked = load(__webpack_require__(101)); var cs_mark = load(__webpack_require__(100)); - var cs_unflip = load(__webpack_require__(365)); + var cs_unflip = load(__webpack_require__(366)); /** * Depth-first search computes the nonzero pattern xi of the directed graph G (Matrix) starting @@ -39744,7 +39819,7 @@ var qics = /***/ }, -/* 355 */ +/* 356 */ /***/ function(module, exports) { 'use strict'; @@ -39826,7 +39901,7 @@ var qics = /***/ }, -/* 356 */ +/* 357 */ /***/ function(module, exports) { 'use strict'; @@ -39897,7 +39972,7 @@ var qics = /***/ }, -/* 357 */ +/* 358 */ /***/ function(module, exports) { 'use strict'; @@ -39944,7 +40019,7 @@ var qics = /***/ }, -/* 358 */ +/* 359 */ /***/ function(module, exports) { 'use strict'; @@ -40016,7 +40091,7 @@ var qics = /***/ }, -/* 359 */ +/* 360 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -40030,7 +40105,7 @@ var qics = var larger = load(__webpack_require__(27)); var largerEq = load(__webpack_require__(116)); - var cs_spsolve = load(__webpack_require__(363)); + var cs_spsolve = load(__webpack_require__(364)); var SparseMatrix = type.SparseMatrix; @@ -40200,7 +40275,7 @@ var qics = /***/ }, -/* 360 */ +/* 361 */ /***/ function(module, exports) { 'use strict'; @@ -40277,7 +40352,7 @@ var qics = /***/ }, -/* 361 */ +/* 362 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -40342,14 +40417,14 @@ var qics = /***/ }, -/* 362 */ +/* 363 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; function factory (type, config, load) { - var cs_dfs = load(__webpack_require__(354)); + var cs_dfs = load(__webpack_require__(355)); var cs_marked = load(__webpack_require__(101)); var cs_mark = load(__webpack_require__(100)); @@ -40409,7 +40484,7 @@ var qics = /***/ }, -/* 363 */ +/* 364 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -40420,7 +40495,7 @@ var qics = var multiply = load(__webpack_require__(11)); var subtract = load(__webpack_require__(19)); - var cs_reach = load(__webpack_require__(362)); + var cs_reach = load(__webpack_require__(363)); /** * The function cs_spsolve() computes the solution to G * x = bk, where bk is the @@ -40501,18 +40576,18 @@ var qics = /***/ }, -/* 364 */ +/* 365 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; function factory (type, config, load) { - var cs_amd = load(__webpack_require__(352)); - var cs_permute = load(__webpack_require__(360)); - var cs_etree = load(__webpack_require__(355)); - var cs_post = load(__webpack_require__(361)); - var cs_counts = load(__webpack_require__(353)); + var cs_amd = load(__webpack_require__(353)); + var cs_permute = load(__webpack_require__(361)); + var cs_etree = load(__webpack_require__(356)); + var cs_post = load(__webpack_require__(362)); + var cs_counts = load(__webpack_require__(354)); /** * Symbolic ordering and analysis for QR and LU decompositions. @@ -40670,14 +40745,14 @@ var qics = /***/ }, -/* 365 */ +/* 366 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; function factory (type, config, load) { - var cs_flip = load(__webpack_require__(66)); + var cs_flip = load(__webpack_require__(67)); /** * Flips the value if it is negative of returns the same value otherwise. @@ -40700,7 +40775,7 @@ var qics = /***/ }, -/* 366 */ +/* 367 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -40891,7 +40966,7 @@ var qics = /***/ }, -/* 367 */ +/* 368 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -40958,7 +41033,7 @@ var qics = /***/ }, -/* 368 */ +/* 369 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -41028,7 +41103,7 @@ var qics = /***/ }, -/* 369 */ +/* 370 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -41177,7 +41252,7 @@ var qics = /***/ }, -/* 370 */ +/* 371 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -41324,7 +41399,7 @@ var qics = /***/ }, -/* 371 */ +/* 372 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -41387,7 +41462,7 @@ var qics = /***/ }, -/* 372 */ +/* 373 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -41453,7 +41528,7 @@ var qics = /***/ }, -/* 373 */ +/* 374 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -41465,7 +41540,7 @@ var qics = var matrix = load(__webpack_require__(2)); var algorithm01 = load(__webpack_require__(28)); - var algorithm04 = load(__webpack_require__(74)); + var algorithm04 = load(__webpack_require__(75)); var algorithm10 = load(__webpack_require__(31)); var algorithm13 = load(__webpack_require__(7)); var algorithm14 = load(__webpack_require__(6)); @@ -41658,7 +41733,7 @@ var qics = /***/ }, -/* 374 */ +/* 375 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -41748,46 +41823,46 @@ var qics = /***/ }, -/* 375 */ +/* 376 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ __webpack_require__(26), __webpack_require__(16), __webpack_require__(18), - __webpack_require__(366), __webpack_require__(367), __webpack_require__(368), + __webpack_require__(369), __webpack_require__(35), __webpack_require__(103), - __webpack_require__(369), __webpack_require__(370), __webpack_require__(371), - __webpack_require__(104), __webpack_require__(372), + __webpack_require__(104), __webpack_require__(373), __webpack_require__(374), - __webpack_require__(376), - __webpack_require__(105), + __webpack_require__(375), __webpack_require__(377), + __webpack_require__(105), __webpack_require__(378), - __webpack_require__(11), __webpack_require__(379), + __webpack_require__(11), __webpack_require__(380), - __webpack_require__(36), __webpack_require__(381), + __webpack_require__(36), __webpack_require__(382), - __webpack_require__(51), __webpack_require__(383), + __webpack_require__(51), + __webpack_require__(384), __webpack_require__(19), __webpack_require__(37), - __webpack_require__(384), - __webpack_require__(385) + __webpack_require__(385), + __webpack_require__(386) ]; /***/ }, -/* 376 */ +/* 377 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -42007,7 +42082,7 @@ var qics = /***/ }, -/* 377 */ +/* 378 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -42091,7 +42166,7 @@ var qics = /***/ }, -/* 378 */ +/* 379 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -42281,7 +42356,7 @@ var qics = /***/ }, -/* 379 */ +/* 380 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -42502,7 +42577,7 @@ var qics = /***/ }, -/* 380 */ +/* 381 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -42807,7 +42882,7 @@ var qics = /***/ }, -/* 381 */ +/* 382 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -42987,7 +43062,7 @@ var qics = /***/ }, -/* 382 */ +/* 383 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -43062,7 +43137,7 @@ var qics = /***/ }, -/* 383 */ +/* 384 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -43133,7 +43208,7 @@ var qics = /***/ }, -/* 384 */ +/* 385 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -43211,7 +43286,7 @@ var qics = /***/ }, -/* 385 */ +/* 386 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -43354,13 +43429,13 @@ var qics = /***/ }, -/* 386 */ +/* 387 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; var isInteger = __webpack_require__(3).isInteger; - var bigBitAnd = __webpack_require__(505); + var bigBitAnd = __webpack_require__(506); function factory (type, config, load, typed) { var latex = __webpack_require__(4); @@ -43509,13 +43584,13 @@ var qics = /***/ }, -/* 387 */ +/* 388 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; var deepMap = __webpack_require__(1); - var bigBitNot = __webpack_require__(77); + var bigBitNot = __webpack_require__(78); var isInteger = __webpack_require__(3).isInteger; function factory (type, config, load, typed) { @@ -43571,13 +43646,13 @@ var qics = /***/ }, -/* 388 */ +/* 389 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; var isInteger = __webpack_require__(3).isInteger; - var bigBitOr = __webpack_require__(506); + var bigBitOr = __webpack_require__(507); function factory (type, config, load, typed) { var latex = __webpack_require__(4); @@ -43585,7 +43660,7 @@ var qics = var matrix = load(__webpack_require__(2)); var algorithm01 = load(__webpack_require__(28)); - var algorithm04 = load(__webpack_require__(74)); + var algorithm04 = load(__webpack_require__(75)); var algorithm10 = load(__webpack_require__(31)); var algorithm13 = load(__webpack_require__(7)); var algorithm14 = load(__webpack_require__(6)); @@ -43726,13 +43801,13 @@ var qics = /***/ }, -/* 389 */ +/* 390 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; var isInteger = __webpack_require__(3).isInteger; - var bigBitXor = __webpack_require__(507); + var bigBitXor = __webpack_require__(508); function factory (type, config, load, typed) { var latex = __webpack_require__(4); @@ -43881,28 +43956,28 @@ var qics = /***/ }, -/* 390 */ +/* 391 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ - __webpack_require__(386), __webpack_require__(387), __webpack_require__(388), __webpack_require__(389), - __webpack_require__(391), + __webpack_require__(390), __webpack_require__(392), - __webpack_require__(393) + __webpack_require__(393), + __webpack_require__(394) ]; /***/ }, -/* 391 */ +/* 392 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; var isInteger = __webpack_require__(3).isInteger; - var bigLeftShift = __webpack_require__(509); + var bigLeftShift = __webpack_require__(510); function factory (type, config, load, typed) { var latex = __webpack_require__(4); @@ -43913,7 +43988,7 @@ var qics = var algorithm01 = load(__webpack_require__(28)); var algorithm02 = load(__webpack_require__(22)); - var algorithm08 = load(__webpack_require__(75)); + var algorithm08 = load(__webpack_require__(76)); var algorithm10 = load(__webpack_require__(31)); var algorithm11 = load(__webpack_require__(14)); var algorithm13 = load(__webpack_require__(7)); @@ -44064,13 +44139,13 @@ var qics = /***/ }, -/* 392 */ +/* 393 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; var isInteger = __webpack_require__(3).isInteger; - var bigRightArithShift = __webpack_require__(510); + var bigRightArithShift = __webpack_require__(511); function factory (type, config, load, typed) { var latex = __webpack_require__(4); @@ -44081,7 +44156,7 @@ var qics = var algorithm01 = load(__webpack_require__(28)); var algorithm02 = load(__webpack_require__(22)); - var algorithm08 = load(__webpack_require__(75)); + var algorithm08 = load(__webpack_require__(76)); var algorithm10 = load(__webpack_require__(31)); var algorithm11 = load(__webpack_require__(14)); var algorithm13 = load(__webpack_require__(7)); @@ -44232,7 +44307,7 @@ var qics = /***/ }, -/* 393 */ +/* 394 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -44248,7 +44323,7 @@ var qics = var algorithm01 = load(__webpack_require__(28)); var algorithm02 = load(__webpack_require__(22)); - var algorithm08 = load(__webpack_require__(75)); + var algorithm08 = load(__webpack_require__(76)); var algorithm10 = load(__webpack_require__(31)); var algorithm11 = load(__webpack_require__(14)); var algorithm13 = load(__webpack_require__(7)); @@ -44400,7 +44475,7 @@ var qics = /***/ }, -/* 394 */ +/* 395 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -44459,7 +44534,7 @@ var qics = /***/ }, -/* 395 */ +/* 396 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -44516,7 +44591,7 @@ var qics = /***/ }, -/* 396 */ +/* 397 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -44573,19 +44648,19 @@ var qics = /***/ }, -/* 397 */ +/* 398 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ - __webpack_require__(394), - __webpack_require__(396), + __webpack_require__(395), + __webpack_require__(397), __webpack_require__(106), - __webpack_require__(395) + __webpack_require__(396) ]; /***/ }, -/* 398 */ +/* 399 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -44650,7 +44725,7 @@ var qics = /***/ }, -/* 399 */ +/* 400 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -44711,7 +44786,7 @@ var qics = /***/ }, -/* 400 */ +/* 401 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -44774,19 +44849,19 @@ var qics = /***/ }, -/* 401 */ +/* 402 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ - __webpack_require__(398), __webpack_require__(399), __webpack_require__(400), - __webpack_require__(402) + __webpack_require__(401), + __webpack_require__(403) ]; /***/ }, -/* 402 */ +/* 403 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -44849,7 +44924,7 @@ var qics = /***/ }, -/* 403 */ +/* 404 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -45156,17 +45231,17 @@ var qics = /***/ }, -/* 404 */ +/* 405 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ - __webpack_require__(405), - __webpack_require__(403) + __webpack_require__(406), + __webpack_require__(404) ]; /***/ }, -/* 405 */ +/* 406 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -45314,31 +45389,31 @@ var qics = /***/ }, -/* 406 */ +/* 407 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ - __webpack_require__(349), - __webpack_require__(375), - __webpack_require__(390), - __webpack_require__(397), - __webpack_require__(401), - __webpack_require__(404), - __webpack_require__(408), - __webpack_require__(415), - __webpack_require__(422), - __webpack_require__(430), - __webpack_require__(434), + __webpack_require__(350), + __webpack_require__(376), + __webpack_require__(391), + __webpack_require__(398), + __webpack_require__(402), + __webpack_require__(405), + __webpack_require__(409), + __webpack_require__(416), + __webpack_require__(423), + __webpack_require__(431), __webpack_require__(435), - __webpack_require__(441), - __webpack_require__(461), - __webpack_require__(468), - __webpack_require__(471) + __webpack_require__(436), + __webpack_require__(442), + __webpack_require__(462), + __webpack_require__(469), + __webpack_require__(472) ]; /***/ }, -/* 407 */ +/* 408 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -45515,19 +45590,19 @@ var qics = /***/ }, -/* 408 */ +/* 409 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ - __webpack_require__(407), + __webpack_require__(408), __webpack_require__(107), - __webpack_require__(409), - __webpack_require__(410) + __webpack_require__(410), + __webpack_require__(411) ]; /***/ }, -/* 409 */ +/* 410 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -45691,7 +45766,7 @@ var qics = /***/ }, -/* 410 */ +/* 411 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -45855,7 +45930,7 @@ var qics = /***/ }, -/* 411 */ +/* 412 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -45962,7 +46037,7 @@ var qics = /***/ }, -/* 412 */ +/* 413 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -46138,7 +46213,7 @@ var qics = /***/ }, -/* 413 */ +/* 414 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -46223,7 +46298,7 @@ var qics = /***/ }, -/* 414 */ +/* 415 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -46274,29 +46349,29 @@ var qics = /***/ }, -/* 415 */ +/* 416 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ __webpack_require__(108), - __webpack_require__(411), - __webpack_require__(109), __webpack_require__(412), + __webpack_require__(109), __webpack_require__(413), - __webpack_require__(67), - __webpack_require__(110), __webpack_require__(414), + __webpack_require__(68), + __webpack_require__(110), + __webpack_require__(415), __webpack_require__(111), __webpack_require__(112), - __webpack_require__(416), - __webpack_require__(68), __webpack_require__(417), __webpack_require__(69), - __webpack_require__(113), __webpack_require__(418), + __webpack_require__(70), + __webpack_require__(113), __webpack_require__(419), __webpack_require__(420), __webpack_require__(421), + __webpack_require__(422), __webpack_require__(52), __webpack_require__(114), __webpack_require__(53), @@ -46305,7 +46380,7 @@ var qics = /***/ }, -/* 416 */ +/* 417 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -46401,7 +46476,7 @@ var qics = /***/ }, -/* 417 */ +/* 418 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -46541,7 +46616,7 @@ var qics = /***/ }, -/* 418 */ +/* 419 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -46685,7 +46760,7 @@ var qics = /***/ }, -/* 419 */ +/* 420 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -46746,7 +46821,7 @@ var qics = /***/ }, -/* 420 */ +/* 421 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -46872,7 +46947,7 @@ var qics = /***/ }, -/* 421 */ +/* 422 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -46939,7 +47014,7 @@ var qics = /***/ }, -/* 422 */ +/* 423 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ @@ -46947,17 +47022,17 @@ var qics = __webpack_require__(54), __webpack_require__(55), __webpack_require__(115), - __webpack_require__(423), __webpack_require__(424), __webpack_require__(425), __webpack_require__(426), __webpack_require__(427), - __webpack_require__(428) + __webpack_require__(428), + __webpack_require__(429) ]; /***/ }, -/* 423 */ +/* 424 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -46970,7 +47045,7 @@ var qics = var multiply = load(__webpack_require__(11)); var dotDivide = load(__webpack_require__(103)); var log = load(__webpack_require__(105)); - var isNumeric = load(__webpack_require__(72)); + var isNumeric = load(__webpack_require__(73)); /** * Calculate the Kullback-Leibler (KL) divergence between two distributions @@ -47054,7 +47129,7 @@ var qics = /***/ }, -/* 424 */ +/* 425 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -47113,7 +47188,7 @@ var qics = /***/ }, -/* 425 */ +/* 426 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -47213,13 +47288,13 @@ var qics = /***/ }, -/* 426 */ +/* 427 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; function factory (type, config, load, typed) { - var distribution = load(__webpack_require__(70)); + var distribution = load(__webpack_require__(71)); /** * Random pick one or more values from a one dimensional array. @@ -47264,13 +47339,13 @@ var qics = /***/ }, -/* 427 */ +/* 428 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; function factory (type, config, load, typed) { - var distribution = load(__webpack_require__(70)); + var distribution = load(__webpack_require__(71)); /** * Return a random number larger or equal to `min` and smaller than `max` @@ -47315,13 +47390,13 @@ var qics = /***/ }, -/* 428 */ +/* 429 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; function factory (type, config, load, typed) { - var distribution = load(__webpack_require__(70)); + var distribution = load(__webpack_require__(71)); /** * Return a random integer number larger or equal to `min` and smaller than `max` @@ -47364,13 +47439,13 @@ var qics = /***/ }, -/* 429 */ +/* 430 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; function factory (type, config, load, typed) { - var equal = load(__webpack_require__(71)); + var equal = load(__webpack_require__(72)); /** * Test element wise whether two matrices are equal. @@ -47451,23 +47526,23 @@ var qics = /***/ }, -/* 430 */ +/* 431 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ __webpack_require__(47), - __webpack_require__(429), - __webpack_require__(71), + __webpack_require__(430), + __webpack_require__(72), __webpack_require__(27), __webpack_require__(116), __webpack_require__(39), - __webpack_require__(431), - __webpack_require__(432) + __webpack_require__(432), + __webpack_require__(433) ]; /***/ }, -/* 431 */ +/* 432 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -47647,7 +47722,7 @@ var qics = /***/ }, -/* 432 */ +/* 433 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -47857,7 +47932,7 @@ var qics = /***/ }, -/* 433 */ +/* 434 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -48060,35 +48135,35 @@ var qics = /***/ }, -/* 434 */ +/* 435 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ - __webpack_require__(433) + __webpack_require__(434) ]; /***/ }, -/* 435 */ +/* 436 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ - __webpack_require__(436), + __webpack_require__(437), __webpack_require__(117), __webpack_require__(118), __webpack_require__(119), __webpack_require__(120), - __webpack_require__(437), __webpack_require__(438), __webpack_require__(439), __webpack_require__(440), + __webpack_require__(441), __webpack_require__(121), __webpack_require__(122) ]; /***/ }, -/* 436 */ +/* 437 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -48097,7 +48172,7 @@ var qics = function factory (type, config, load, typed) { var abs = load(__webpack_require__(26)); - var map = load(__webpack_require__(68)); + var map = load(__webpack_require__(69)); var median = load(__webpack_require__(119)); var subtract = load(__webpack_require__(19)); @@ -48158,7 +48233,7 @@ var qics = /***/ }, -/* 437 */ +/* 438 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -48240,7 +48315,7 @@ var qics = exports.factory = factory; /***/ }, -/* 438 */ +/* 439 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -48322,7 +48397,7 @@ var qics = /***/ }, -/* 439 */ +/* 440 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -48335,7 +48410,7 @@ var qics = function factory (type, config, load, typed) { var add = load(__webpack_require__(16)); var multiply = load(__webpack_require__(11)); - var partitionSelect = load(__webpack_require__(69)); + var partitionSelect = load(__webpack_require__(70)); var compare = load(__webpack_require__(47)); /** @@ -48585,7 +48660,7 @@ var qics = /***/ }, -/* 440 */ +/* 441 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -48665,17 +48740,17 @@ var qics = /***/ }, -/* 441 */ +/* 442 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ __webpack_require__(123), - __webpack_require__(442) + __webpack_require__(443) ]; /***/ }, -/* 442 */ +/* 443 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -48768,7 +48843,7 @@ var qics = /***/ }, -/* 443 */ +/* 444 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -48833,7 +48908,7 @@ var qics = /***/ }, -/* 444 */ +/* 445 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -48893,7 +48968,7 @@ var qics = /***/ }, -/* 445 */ +/* 446 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -48954,7 +49029,7 @@ var qics = /***/ }, -/* 446 */ +/* 447 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -49018,7 +49093,7 @@ var qics = /***/ }, -/* 447 */ +/* 448 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -49077,7 +49152,7 @@ var qics = /***/ }, -/* 448 */ +/* 449 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -49140,7 +49215,7 @@ var qics = /***/ }, -/* 449 */ +/* 450 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -49210,7 +49285,7 @@ var qics = /***/ }, -/* 450 */ +/* 451 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -49276,7 +49351,7 @@ var qics = /***/ }, -/* 451 */ +/* 452 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -49335,7 +49410,7 @@ var qics = /***/ }, -/* 452 */ +/* 453 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -49396,7 +49471,7 @@ var qics = /***/ }, -/* 453 */ +/* 454 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -49554,7 +49629,7 @@ var qics = /***/ }, -/* 454 */ +/* 455 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -49625,7 +49700,7 @@ var qics = /***/ }, -/* 455 */ +/* 456 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -49693,7 +49768,7 @@ var qics = /***/ }, -/* 456 */ +/* 457 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -49765,7 +49840,7 @@ var qics = /***/ }, -/* 457 */ +/* 458 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -49829,7 +49904,7 @@ var qics = /***/ }, -/* 458 */ +/* 459 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -49904,7 +49979,7 @@ var qics = /***/ }, -/* 459 */ +/* 460 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -49968,7 +50043,7 @@ var qics = /***/ }, -/* 460 */ +/* 461 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -50049,13 +50124,12 @@ var qics = /***/ }, -/* 461 */ +/* 462 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ - __webpack_require__(443), - __webpack_require__(124), __webpack_require__(444), + __webpack_require__(124), __webpack_require__(445), __webpack_require__(446), __webpack_require__(447), @@ -50072,17 +50146,18 @@ var qics = __webpack_require__(458), __webpack_require__(459), __webpack_require__(460), - __webpack_require__(462), + __webpack_require__(461), __webpack_require__(463), __webpack_require__(464), __webpack_require__(465), __webpack_require__(466), - __webpack_require__(467) + __webpack_require__(467), + __webpack_require__(468) ]; /***/ }, -/* 462 */ +/* 463 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -50146,7 +50221,7 @@ var qics = /***/ }, -/* 463 */ +/* 464 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -50220,7 +50295,7 @@ var qics = /***/ }, -/* 464 */ +/* 465 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -50289,7 +50364,7 @@ var qics = /***/ }, -/* 465 */ +/* 466 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -50362,7 +50437,7 @@ var qics = /***/ }, -/* 466 */ +/* 467 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -50427,7 +50502,7 @@ var qics = /***/ }, -/* 467 */ +/* 468 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -50504,15 +50579,15 @@ var qics = /***/ }, -/* 468 */ +/* 469 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ - __webpack_require__(469) + __webpack_require__(470) ]; /***/ }, -/* 469 */ +/* 470 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -50608,7 +50683,7 @@ var qics = /***/ }, -/* 470 */ +/* 471 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -50648,24 +50723,24 @@ var qics = /***/ }, -/* 471 */ +/* 472 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ - __webpack_require__(470), + __webpack_require__(471), __webpack_require__(40), __webpack_require__(48), - __webpack_require__(72), + __webpack_require__(73), __webpack_require__(56), - __webpack_require__(473), + __webpack_require__(474), __webpack_require__(125), - __webpack_require__(472), + __webpack_require__(473), __webpack_require__(126) ]; /***/ }, -/* 472 */ +/* 473 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -50737,7 +50812,7 @@ var qics = /***/ }, -/* 473 */ +/* 474 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -50824,30 +50899,30 @@ var qics = /***/ }, -/* 474 */ +/* 475 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ - __webpack_require__(488), // data types (Matrix, Complex, Unit, ...) - __webpack_require__(143), // constants - __webpack_require__(333), // expression parsing - __webpack_require__(406), // functions - __webpack_require__(475), // serialization utility (math.json.reviver) - __webpack_require__(148) // errors + __webpack_require__(489), // data types (Matrix, Complex, Unit, ...) + __webpack_require__(144), // constants + __webpack_require__(334), // expression parsing + __webpack_require__(407), // functions + __webpack_require__(476), // serialization utility (math.json.reviver) + __webpack_require__(149) // errors ]; /***/ }, -/* 475 */ +/* 476 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ - __webpack_require__(476) + __webpack_require__(477) ]; /***/ }, -/* 476 */ +/* 477 */ /***/ function(module, exports) { 'use strict'; @@ -50875,10 +50950,10 @@ var qics = /***/ }, -/* 477 */ +/* 478 */ /***/ function(module, exports, __webpack_require__) { - var Decimal = __webpack_require__(140); + var Decimal = __webpack_require__(141); function factory (type, config, load, typed, math) { var BigNumber = Decimal.clone({precision: config.precision}); @@ -50928,7 +51003,7 @@ var qics = exports.math = true; // request access to the math namespace /***/ }, -/* 478 */ +/* 479 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -51002,20 +51077,20 @@ var qics = /***/ }, -/* 479 */ +/* 480 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ // type - __webpack_require__(477), + __webpack_require__(478), // construction function - __webpack_require__(478) + __webpack_require__(479) ]; /***/ }, -/* 480 */ +/* 481 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -51099,7 +51174,7 @@ var qics = /***/ }, -/* 481 */ +/* 482 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -51270,7 +51345,7 @@ var qics = /***/ }, -/* 482 */ +/* 483 */ /***/ function(module, exports) { 'use strict'; @@ -51327,20 +51402,20 @@ var qics = /***/ }, -/* 483 */ +/* 484 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ // type - __webpack_require__(481), + __webpack_require__(482), // construction function - __webpack_require__(482) + __webpack_require__(483) ]; /***/ }, -/* 484 */ +/* 485 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -51446,7 +51521,7 @@ var qics = /***/ }, -/* 485 */ +/* 486 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ @@ -51454,15 +51529,15 @@ var qics = __webpack_require__(127), // construction function - __webpack_require__(484) + __webpack_require__(485) ]; /***/ }, -/* 486 */ +/* 487 */ /***/ function(module, exports, __webpack_require__) { - var Fraction = __webpack_require__(141); + var Fraction = __webpack_require__(142); /** * Attach type information @@ -51504,12 +51579,12 @@ var qics = /***/ }, -/* 487 */ +/* 488 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ // type - __webpack_require__(486), + __webpack_require__(487), // construction function __webpack_require__(128) @@ -51517,25 +51592,25 @@ var qics = /***/ }, -/* 488 */ +/* 489 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ - __webpack_require__(479), __webpack_require__(480), - __webpack_require__(483), - __webpack_require__(485), - __webpack_require__(487), - __webpack_require__(496), - __webpack_require__(76), + __webpack_require__(481), + __webpack_require__(484), + __webpack_require__(486), + __webpack_require__(488), __webpack_require__(497), + __webpack_require__(77), __webpack_require__(498), - __webpack_require__(502) + __webpack_require__(499), + __webpack_require__(503) ]; /***/ }, -/* 489 */ +/* 490 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -51890,7 +51965,7 @@ var qics = /***/ }, -/* 490 */ +/* 491 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -52120,7 +52195,7 @@ var qics = /***/ }, -/* 491 */ +/* 492 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -52409,7 +52484,7 @@ var qics = /***/ }, -/* 492 */ +/* 493 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -52556,7 +52631,7 @@ var qics = /***/ }, -/* 493 */ +/* 494 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -52577,7 +52652,7 @@ var qics = var validateIndex = array.validateIndex; function factory (type, config, load, typed) { - var Matrix = load(__webpack_require__(73)); // force loading Matrix (do not use via type.Matrix) + var Matrix = load(__webpack_require__(74)); // force loading Matrix (do not use via type.Matrix) var equalScalar = load(__webpack_require__(9)); /** @@ -53900,7 +53975,7 @@ var qics = /***/ }, -/* 494 */ +/* 495 */ /***/ function(module, exports) { 'use strict'; @@ -53970,7 +54045,7 @@ var qics = /***/ }, -/* 495 */ +/* 496 */ /***/ function(module, exports) { 'use strict'; @@ -54037,29 +54112,29 @@ var qics = /***/ }, -/* 496 */ +/* 497 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ // types - __webpack_require__(73), + __webpack_require__(74), __webpack_require__(129), + __webpack_require__(494), __webpack_require__(493), - __webpack_require__(492), - __webpack_require__(489), __webpack_require__(490), __webpack_require__(491), + __webpack_require__(492), __webpack_require__(130), // construction functions - __webpack_require__(494), + __webpack_require__(495), __webpack_require__(2), - __webpack_require__(495) + __webpack_require__(496) ]; /***/ }, -/* 497 */ +/* 498 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ @@ -54069,7 +54144,7 @@ var qics = /***/ }, -/* 498 */ +/* 499 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -54144,7 +54219,7 @@ var qics = /***/ }, -/* 499 */ +/* 500 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -54235,7 +54310,7 @@ var qics = /***/ }, -/* 500 */ +/* 501 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -54278,7 +54353,7 @@ var qics = /***/ }, -/* 501 */ +/* 502 */ /***/ function(module, exports, __webpack_require__) { 'use strict'; @@ -54345,7 +54420,7 @@ var qics = /***/ }, -/* 502 */ +/* 503 */ /***/ function(module, exports, __webpack_require__) { module.exports = [ @@ -54353,21 +54428,21 @@ var qics = __webpack_require__(133), // construction function - __webpack_require__(501), + __webpack_require__(502), // create new units - __webpack_require__(499), + __webpack_require__(500), // split units - __webpack_require__(500), + __webpack_require__(501), // physical constants - __webpack_require__(503) + __webpack_require__(504) ]; /***/ }, -/* 503 */ +/* 504 */ /***/ function(module, exports, __webpack_require__) { var lazy = __webpack_require__(5).lazy; @@ -54457,7 +54532,7 @@ var qics = /***/ }, -/* 504 */ +/* 505 */ /***/ function(module, exports) { 'use strict'; @@ -54711,10 +54786,10 @@ var qics = /***/ }, -/* 505 */ +/* 506 */ /***/ function(module, exports, __webpack_require__) { - var bitwise = __webpack_require__(78); + var bitwise = __webpack_require__(79); /** * Bitwise and for Bignumbers @@ -54785,10 +54860,10 @@ var qics = /***/ }, -/* 506 */ +/* 507 */ /***/ function(module, exports, __webpack_require__) { - var bitwise = __webpack_require__(78); + var bitwise = __webpack_require__(79); /** * Bitwise OR for BigNumbers @@ -54844,11 +54919,11 @@ var qics = /***/ }, -/* 507 */ +/* 508 */ /***/ function(module, exports, __webpack_require__) { - var bitwise = __webpack_require__(78); - var bitNot = __webpack_require__(77); + var bitwise = __webpack_require__(79); + var bitNot = __webpack_require__(78); /** * Bitwise XOR for BigNumbers @@ -54910,7 +54985,7 @@ var qics = /***/ }, -/* 508 */ +/* 509 */ /***/ function(module, exports) { /** @@ -55099,7 +55174,7 @@ var qics = /***/ }, -/* 509 */ +/* 510 */ /***/ function(module, exports) { @@ -55146,7 +55221,7 @@ var qics = /***/ }, -/* 510 */ +/* 511 */ /***/ function(module, exports) { /* @@ -55199,7 +55274,7 @@ var qics = /***/ }, -/* 511 */ +/* 512 */ /***/ function(module, exports) { 'use strict'; @@ -55215,7 +55290,7 @@ var qics = /***/ }, -/* 512 */ +/* 513 */ /***/ function(module, exports) { 'use strict'; @@ -55285,7 +55360,7 @@ var qics = /***/ }, -/* 513 */ +/* 514 */ /***/ function(module, exports) { module.exports = '3.9.0'; @@ -55294,7 +55369,7 @@ var qics = /***/ }, -/* 514 */ +/* 515 */ /***/ function(module, exports) { // shim for using process in browser @@ -55480,7 +55555,7 @@ var qics = /***/ }, -/* 515 */ +/* 516 */ /***/ function(module, exports) { function E () { @@ -55552,7 +55627,7 @@ var qics = /***/ }, -/* 516 */ +/* 517 */ /***/ function(module, exports, __webpack_require__) { var __WEBPACK_AMD_DEFINE_FACTORY__, __WEBPACK_AMD_DEFINE_ARRAY__, __WEBPACK_AMD_DEFINE_RESULT__;/** @@ -56945,7 +57020,7 @@ var qics = /***/ }, -/* 517 */ +/* 518 */ /***/ function(module, exports) { if (typeof Object.create === 'function') { @@ -56974,7 +57049,7 @@ var qics = /***/ }, -/* 518 */ +/* 519 */ /***/ function(module, exports) { module.exports = function isBuffer(arg) { @@ -56985,7 +57060,7 @@ var qics = } /***/ }, -/* 519 */ +/* 520 */ /***/ function(module, exports, __webpack_require__) { /* WEBPACK VAR INJECTION */(function(global, process) {// Copyright Joyent, Inc. and other Node contributors. @@ -57513,7 +57588,7 @@ var qics = } exports.isPrimitive = isPrimitive; - exports.isBuffer = __webpack_require__(518); + exports.isBuffer = __webpack_require__(519); function objectToString(o) { return Object.prototype.toString.call(o); @@ -57557,7 +57632,7 @@ var qics = * prototype. * @param {function} superCtor Constructor function to inherit prototype from. */ - exports.inherits = __webpack_require__(517); + exports.inherits = __webpack_require__(518); exports._extend = function(origin, add) { // Don't do anything if add isn't an object @@ -57575,17 +57650,17 @@ var qics = return Object.prototype.hasOwnProperty.call(obj, prop); } - /* WEBPACK VAR INJECTION */}.call(exports, (function() { return this; }()), __webpack_require__(514))) + /* WEBPACK VAR INJECTION */}.call(exports, (function() { return this; }()), __webpack_require__(515))) /***/ }, -/* 520 */ +/* 521 */ /***/ function(module, exports, __webpack_require__) { - module.exports = __webpack_require__(521) + module.exports = __webpack_require__(522) /***/ }, -/* 521 */ +/* 522 */ /***/ function(module, exports) { function getTotal(weights) { diff --git a/dist/qics.min.js b/dist/qics.min.js index d57c263..e93503a 100644 --- a/dist/qics.min.js +++ b/dist/qics.min.js @@ -1,10 +1,10 @@ -var qics=function(e){function t(n){if(r[n])return 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mass",examples:["neutronMass"]},a.quantumOfCirculation={description:"Quantum of circulation",examples:["quantumOfCirculation"]},a.rydberg={description:"Rydberg constant",examples:["rydberg"]},a.thomsonCrossSection={description:"Thomson cross section",examples:["thomsonCrossSection"]},a.weakMixingAngle={description:"Weak mixing angle",examples:["weakMixingAngle"]},a.efimovFactor={description:"Efimov factor",examples:["efimovFactor"]},a.atomicMass={description:"Atomic mass constant",examples:["atomicMass"]},a.avogadro={description:"Avogadro's number",examples:["avogadro"]},a.boltzmann={description:"Boltzmann constant",examples:["boltzmann"]},a.faraday={description:"Faraday constant",examples:["faraday"]},a.firstRadiation={description:"First radiation constant",examples:["firstRadiation"]},a.loschmidt={description:"Loschmidt constant at T=273.15 K and p=101.325 kPa",examples:["loschmidt"]},a.gasConstant={description:"Gas 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If x = a+bi, the complex conjugate is a-bi.",examples:["conj(2 + 3i)","conj(2 - 3i)","conj(-5.2i)"],seealso:["re","im","abs","arg"]}},function(e,t){e.exports={name:"im",category:"Complex",syntax:["im(x)"],description:"Get the imaginary part of a complex number.",examples:["im(2 + 3i)","re(2 + 3i)","im(-5.2i)","im(2.4)"],seealso:["re","conj","abs","arg"]}},function(e,t){e.exports={name:"re",category:"Complex",syntax:["re(x)"],description:"Get the real part of a complex number.",examples:["re(2 + 3i)","im(2 + 3i)","re(-5.2i)","re(2.4)"],seealso:["im","conj","abs","arg"]}},function(e,t){e.exports={name:"eval",category:"Expression",syntax:["eval(expression)","eval([expr1, expr2, expr3, ...])"],description:"Evaluate an expression or an array with expressions.",examples:['eval("2 + 3")','eval("sqrt(" + 4 + ")")'],seealso:[]}},function(e,t){e.exports={name:"help",category:"Expression",syntax:["help(object)","help(string)"],description:"Display documentation on a function or data type.",examples:["help(sqrt)",'help("complex")'],seealso:[]}},function(e,t){e.exports={name:"distance",category:"Geometry",syntax:["distance([x1, y1], [x2, y2])","distance([[x1, y1], [x2, y2])"],description:"Calculates the Euclidean distance between two points.",examples:["distance([0,0], [4,4])","distance([[0,0], [4,4]])"],seealso:[]}},function(e,t){e.exports={name:"intersect",category:"Geometry",syntax:["intersect(expr1, expr2, expr3, expr4)","intersect(expr1, expr2, expr3)"],description:"Computes the intersection point of lines and/or planes.",examples:["intersect([0, 0], [10, 10], [10, 0], [0, 10])","intersect([1, 0, 1], [4, -2, 2], [1, 1, 1, 6])"],seealso:[]}},function(e,t){e.exports={name:"and",category:"Logical",syntax:["x and y","and(x, y)"],description:"Logical and. Test whether two values are both defined with a nonzero/nonempty value.",examples:["true and false","true and true","2 and 4"],seealso:["not","or","xor"]}},function(e,t){e.exports={name:"not",category:"Logical",syntax:["not x","not(x)"],description:"Logical not. Flips the boolean value of given argument.",examples:["not true","not false","not 2","not 0"],seealso:["and","or","xor"]}},function(e,t){e.exports={name:"or",category:"Logical",syntax:["x or y","or(x, y)"],description:"Logical or. Test if at least one value is defined with a nonzero/nonempty value.",examples:["true or false","false or false","0 or 4"],seealso:["not","and","xor"]}},function(e,t){e.exports={name:"xor",category:"Logical",syntax:["x or y","or(x, y)"],description:"Logical exclusive or, xor. Test whether one and only one value is defined with a nonzero/nonempty value.",examples:["true xor false","false xor false","true xor true","0 or 4"],seealso:["not","and","or"]}},function(e,t){e.exports={name:"concat",category:"Matrix",syntax:["concat(A, B, C, ...)","concat(A, B, C, ..., dim)"],description:"Concatenate matrices. By default, the matrices are concatenated by the last dimension. The dimension on which to concatenate can be provided as last argument.",examples:["A = [1, 2; 5, 6]","B = [3, 4; 7, 8]","concat(A, B)","concat(A, B, 1)","concat(A, B, 2)"],seealso:["det","diag","eye","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"cross",category:"Matrix",syntax:["cross(A, B)"],description:"Calculate the cross product for two vectors in three dimensional space.",examples:["cross([1, 1, 0], [0, 1, 1])","cross([3, -3, 1], [4, 9, 2])","cross([2, 3, 4], [5, 6, 7])"],seealso:["multiply","dot"]}},function(e,t){e.exports={name:"det",category:"Matrix",syntax:["det(x)"],description:"Calculate the determinant of a matrix",examples:["det([1, 2; 3, 4])","det([-2, 2, 3; -1, 1, 3; 2, 0, -1])"],seealso:["concat","diag","eye","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"diag",category:"Matrix",syntax:["diag(x)","diag(x, k)"],description:"Create a diagonal matrix or retrieve the diagonal of a matrix. When x is a vector, a matrix with the vector values on the diagonal will be returned. When x is a matrix, a vector with the diagonal values of the matrix is returned. When k is provided, the k-th diagonal will be filled in or retrieved, if k is positive, the values are placed on the super diagonal. When k is negative, the values are placed on the sub diagonal.",examples:["diag(1:3)","diag(1:3, 1)","a = [1, 2, 3; 4, 5, 6; 7, 8, 9]","diag(a)"],seealso:["concat","det","eye","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"dot",category:"Matrix",syntax:["dot(A, B)"],description:"Calculate the dot product of two vectors. The dot product of A = [a1, a2, a3, ..., an] and B = [b1, b2, b3, ..., bn] is defined as dot(A, B) = a1 * b1 + a2 * b2 + a3 * b3 + ... + an * bn",examples:["dot([2, 4, 1], [2, 2, 3])","[2, 4, 1] * [2, 2, 3]"],seealso:["multiply","cross"]}},function(e,t){e.exports={name:"eye",category:"Matrix",syntax:["eye(n)","eye(m, n)","eye([m, n])","eye"],description:"Returns the identity matrix with size m-by-n. The matrix has ones on the diagonal and zeros elsewhere.",examples:["eye(3)","eye(3, 5)","a = [1, 2, 3; 4, 5, 6]","eye(size(a))"],seealso:["concat","det","diag","inv","ones","range","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"filter",category:"Matrix",syntax:["filter(x, test)"],description:"Filter items in a matrix.",examples:["isPositive(x) = x > 0","filter([6, -2, -1, 4, 3], isPositive)","filter([6, -2, 0, 1, 0], x != 0)"],seealso:["sort","map","forEach"]}},function(e,t){e.exports={name:"flatten",category:"Matrix",syntax:["flatten(x)"],description:"Flatten a multi dimensional matrix into a single dimensional matrix.",examples:["a = [1, 2, 3; 4, 5, 6]","size(a)","b = flatten(a)","size(b)"],seealso:["concat","resize","size","squeeze"]}},function(e,t){e.exports={name:"forEach",category:"Matrix",syntax:["forEach(x, callback)"],description:"Iterates over all elements of a matrix/array, and executes the given callback function.",examples:["forEach([1, 2, 3], function(val) { console.log(val) })"],seealso:["map","sort","filter"]}},function(e,t){e.exports={name:"inv",category:"Matrix",syntax:["inv(x)"],description:"Calculate the inverse of a matrix",examples:["inv([1, 2; 3, 4])","inv(4)","1 / 4"],seealso:["concat","det","diag","eye","ones","range","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"kron",category:"Matrix",syntax:["math.kron(x, y)"],description:"Calculates the kronecker product of 2 matrices or vectors.",examples:["kron([[1, 0], [0, 1]], [[1, 2], [3, 4]])","kron([1,1], [2,3,4])"],seealso:["multiply","dot","cross"]}},function(e,t){e.exports={name:"map",category:"Matrix",syntax:["map(x, callback)"],description:"Create a new matrix or array with the results of the callback function executed on each entry of the matrix/array.",examples:["map([1, 2, 3], function(val) { return value * value })"],seealso:["filter","forEach"]}},function(e,t){e.exports={name:"ones",category:"Matrix",syntax:["ones(m)","ones(m, n)","ones(m, n, p, ...)","ones([m])","ones([m, n])","ones([m, n, p, ...])","ones"],description:"Create a matrix containing ones.",examples:["ones(3)","ones(3, 5)","ones([2,3]) * 4.5","a = [1, 2, 3; 4, 5, 6]","ones(size(a))"],seealso:["concat","det","diag","eye","inv","range","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"partitionSelect",category:"Matrix",syntax:["partitionSelect(x, k)","partitionSelect(x, k, compare)"],description:"Partition-based selection of an array or 1D matrix. Will find the kth smallest value, and mutates the input array. Uses Quickselect.",examples:["partitionSelect([5, 10, 1], 2)",'partitionSelect(["C", "B", "A", "D"], 1)'],seealso:["sort"]}},function(e,t){e.exports={name:"range",category:"Type",syntax:["start:end","start:step:end","range(start, end)","range(start, end, step)","range(string)"],description:"Create a range. Lower bound of the range is included, upper bound is excluded.",examples:["1:5","3:-1:-3","range(3, 7)","range(0, 12, 2)",'range("4:10")',"a = [1, 2, 3, 4; 5, 6, 7, 8]","a[1:2, 1:2]"],seealso:["concat","det","diag","eye","inv","ones","size","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"resize",category:"Matrix",syntax:["resize(x, size)","resize(x, size, defaultValue)"],description:"Resize a matrix.",examples:["resize([1,2,3,4,5], [3])","resize([1,2,3], [5])","resize([1,2,3], [5], -1)","resize(2, [2, 3])",'resize("hello", [8], "!")'],seealso:["size","subset","squeeze"]}},function(e,t){e.exports={name:"size",category:"Matrix",syntax:["size(x)"],description:"Calculate the size of a matrix.",examples:["size(2.3)",'size("hello world")',"a = [1, 2; 3, 4; 5, 6]","size(a)","size(1:6)"],seealso:["concat","det","diag","eye","inv","ones","range","squeeze","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"sort",category:"Matrix",syntax:["sort(x)","sort(x, compare)"],description:'Sort the items in a matrix. Compare can be a string "asc" or "desc", or a custom sort function.',examples:["sort([5, 10, 1])",'sort(["C", "B", "A", "D"])',"sortByLength(a, b) = size(a)[1] - size(b)[1]",'sort(["Langdon", "Tom", "Sara"], sortByLength)'],seealso:["map","filter","forEach"]}},function(e,t){e.exports={name:"squeeze",category:"Matrix",syntax:["squeeze(x)"],description:"Remove inner and outer singleton dimensions from a matrix.",examples:["a = zeros(3,2,1)","size(squeeze(a))","b = zeros(1,1,3)","size(squeeze(b))"],seealso:["concat","det","diag","eye","inv","ones","range","size","subset","trace","transpose","zeros"]}},function(e,t){e.exports={name:"subset",category:"Matrix",syntax:["value(index)","value(index) = replacement","subset(value, [index])","subset(value, [index], replacement)"],description:"Get or set a subset of a matrix or string. Indexes are one-based. Both the ranges lower-bound and upper-bound are included.",examples:["d = [1, 2; 3, 4]","e = []","e[1, 1:2] = [5, 6]","e[2, :] = [7, 8]","f = d * e","f[2, 1]","f[:, 1]"],seealso:["concat","det","diag","eye","inv","ones","range","size","squeeze","trace","transpose","zeros"]}},function(e,t){e.exports={name:"trace",category:"Matrix",syntax:["trace(A)"],description:"Calculate the trace of a matrix: the sum of the elements on the main diagonal of a square matrix.",examples:["A = [1, 2, 3; -1, 2, 3; 2, 0, 3]","trace(A)"],seealso:["concat","det","diag","eye","inv","ones","range","size","squeeze","subset","transpose","zeros"]}},function(e,t){e.exports={name:"transpose",category:"Matrix",syntax:["x'","transpose(x)"],description:"Transpose a matrix",examples:["a = [1, 2, 3; 4, 5, 6]","a'","transpose(a)"],seealso:["concat","det","diag","eye","inv","ones","range","size","squeeze","subset","trace","zeros"]}},function(e,t){e.exports={name:"zeros",category:"Matrix",syntax:["zeros(m)","zeros(m, n)","zeros(m, n, p, ...)","zeros([m])","zeros([m, n])","zeros([m, n, p, ...])","zeros"],description:"Create a matrix containing zeros.",examples:["zeros(3)","zeros(3, 5)","a = [1, 2, 3; 4, 5, 6]","zeros(size(a))"],seealso:["concat","det","diag","eye","inv","ones","range","size","squeeze","subset","trace","transpose"]}},function(e,t){e.exports={name:"combinations",category:"Probability",syntax:["combinations(n, k)"],description:"Compute the number of combinations of n items taken k at a time",examples:["combinations(7, 5)"],seealso:["permutations","factorial"]}},function(e,t){e.exports={name:"factorial",category:"Probability",syntax:["kldivergence(x, y)"],description:"Compute the factorial of a value",examples:["5!","5 * 4 * 3 * 2 * 1","3!"],seealso:["combinations","permutations","gamma"]}},function(e,t){e.exports={name:"gamma",category:"Probability",syntax:["gamma(n)"],description:"Compute the gamma function. For small values, the Lanczos approximation is used, and for large values the extended Stirling approximation.",examples:["gamma(4)","3!","gamma(1/2)","sqrt(pi)"],seealso:["factorial"]}},function(e,t){e.exports={name:"kldivergence",category:"Probability",syntax:["n!","factorial(n)"],description:"Calculate the Kullback-Leibler (KL) divergence between two distributions.",examples:["math.kldivergence([0.7,0.5,0.4], [0.2,0.9,0.5])"],seealso:[]}},function(e,t){e.exports={name:"multinomial",category:"Probability",syntax:["multinomial(A)"],description:"Multinomial Coefficients compute the number of ways of picking a1, a2, ..., ai unordered outcomes from `n` possibilities. multinomial takes one array of integers as an argument. The following condition must be enforced: every ai <= 0.",examples:["multinomial([1, 2, 1])"],seealso:["combinations","factorial"]}},function(e,t){e.exports={name:"permutations",category:"Probability",syntax:["permutations(n)","permutations(n, k)"],description:"Compute the number of permutations of n items taken k at a time",examples:["permutations(5)","permutations(5, 3)"],seealso:["combinations","factorial"]}},function(e,t){e.exports={name:"pickRandom",category:"Probability",syntax:["pickRandom(array)","pickRandom(array, number)","pickRandom(array, weights)","pickRandom(array, number, weights)","pickRandom(array, weights, number)"],description:"Pick a random entry from a given array.",examples:["pickRandom(0:10)","pickRandom([1, 3, 1, 6])","pickRandom([1, 3, 1, 6], 2)","pickRandom([1, 3, 1, 6], [2, 3, 2, 1])","pickRandom([1, 3, 1, 6], 2, [2, 3, 2, 1])","pickRandom([1, 3, 1, 6], [2, 3, 2, 1], 2)"],seealso:["random","randomInt"]}},function(e,t){e.exports={name:"random",category:"Probability",syntax:["random()","random(max)","random(min, max)","random(size)","random(size, max)","random(size, min, max)"],description:"Return a random number.",examples:["random()","random(10, 20)","random([2, 3])"],seealso:["pickRandom","randomInt"]}},function(e,t){e.exports={name:"randInt",category:"Probability",syntax:["randInt(max)","randInt(min, max)","randInt(size)","randInt(size, max)","randInt(size, min, max)"],description:"Return a random integer number",examples:["randInt(10, 20)","randInt([2, 3], 10)"],seealso:["pickRandom","random"]}},function(e,t){e.exports={name:"compare",category:"Relational",syntax:["compare(x, y)"],description:"Compare two values. Returns 1 if x is larger than y, -1 if x is smaller than y, and 0 if x and y are equal.",examples:["compare(2, 3)","compare(3, 2)","compare(2, 2)","compare(5cm, 40mm)","compare(2, [1, 2, 3])"],seealso:["equal","unequal","smaller","smallerEq","largerEq"]}},function(e,t){e.exports={name:"deepEqual",category:"Relational",syntax:["deepEqual(x, y)"],description:"Check equality of two matrices element wise. Returns true if the size of both matrices is equal and when and each of the elements are equal.",examples:["[1,3,4] == [1,3,4]","[1,3,4] == [1,3]"],seealso:["equal","unequal","smaller","larger","smallerEq","largerEq","compare"]}},function(e,t){e.exports={name:"equal",category:"Relational",syntax:["x == y","equal(x, y)"],description:"Check equality of two values. Returns true if the values are equal, and false if not.",examples:["2+2 == 3","2+2 == 4","a = 3.2","b = 6-2.8","a == b","50cm == 0.5m"],seealso:["unequal","smaller","larger","smallerEq","largerEq","compare","deepEqual"]}},function(e,t){e.exports={name:"larger",category:"Relational",syntax:["x > y","larger(x, y)"],description:"Check if value x is larger than y. Returns true if x is larger than y, and false if not.",examples:["2 > 3","5 > 2*2","a = 3.3","b = 6-2.8","(a > b)","(b < a)","5 cm > 2 inch"],seealso:["equal","unequal","smaller","smallerEq","largerEq","compare"]}},function(e,t){e.exports={name:"largerEq",category:"Relational",syntax:["x >= y","largerEq(x, y)"],description:"Check if value x is larger or equal to y. Returns true if x is larger or equal to y, and false if not.",examples:["2 > 1+1","2 >= 1+1","a = 3.2","b = 6-2.8","(a > b)"],seealso:["equal","unequal","smallerEq","smaller","largerEq","compare"]}},function(e,t){e.exports={name:"smaller",category:"Relational",syntax:["x < y","smaller(x, y)"],description:"Check if value x is smaller than value y. Returns true if x is smaller than y, and false if not.",examples:["2 < 3","5 < 2*2","a = 3.3","b = 6-2.8","(a < b)","5 cm < 2 inch"],seealso:["equal","unequal","larger","smallerEq","largerEq","compare"]}},function(e,t){e.exports={name:"smallerEq",category:"Relational",syntax:["x <= y","smallerEq(x, y)"],description:"Check if value x is smaller or equal to value y. Returns true if x is smaller than y, and false if not.",examples:["2 < 1+1","2 <= 1+1","a = 3.2","b = 6-2.8","(a < b)"],seealso:["equal","unequal","larger","smaller","largerEq","compare"]}},function(e,t){e.exports={name:"unequal",category:"Relational",syntax:["x != y","unequal(x, y)"],description:"Check unequality of two values. Returns true if the values are unequal, and false if they are equal.",examples:["2+2 != 3","2+2 != 4","a = 3.2","b = 6-2.8","a != b","50cm != 0.5m","5 cm != 2 inch"],seealso:["equal","smaller","larger","smallerEq","largerEq","compare","deepEqual"]}},function(e,t){e.exports={name:"erf",category:"Special",syntax:["erf(x)"],description:"Compute the erf function of a value using a rational Chebyshev approximations for different intervals of x",examples:["erf(0.2)","erf(-0.5)","erf(4)"],seealso:[]}},function(e,t){e.exports={name:"mad",category:"Statistics",syntax:["mad(a, b, c, ...)","mad(A)"],description:"Compute the median absolute deviation of a matrix or a list with values. The median absolute deviation is defined as the median of the absolute deviations from the median.",examples:["mad(10, 20, 30)","mad([1, 2, 3])","mad(10, 20, 30)"],seealso:["mean","median","std","abs"]}},function(e,t){e.exports={name:"max",category:"Statistics",syntax:["max(a, b, c, ...)","max(A)","max(A, dim)"],description:"Compute the maximum value of a list of values.",examples:["max(2, 3, 4, 1)","max([2, 3, 4, 1])","max([2, 5; 4, 3])","max([2, 5; 4, 3], 1)","max([2, 5; 4, 3], 2)","max(2.7, 7.1, -4.5, 2.0, 4.1)","min(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["mean","median","min","prod","std","sum","var"]}},function(e,t){e.exports={name:"mean",category:"Statistics",syntax:["mean(a, b, c, ...)","mean(A)","mean(A, dim)"],description:"Compute the arithmetic mean of a list of values.",examples:["mean(2, 3, 4, 1)","mean([2, 3, 4, 1])","mean([2, 5; 4, 3])","mean([2, 5; 4, 3], 1)","mean([2, 5; 4, 3], 2)","mean([1.0, 2.7, 3.2, 4.0])"],seealso:["max","median","min","prod","std","sum","var"]}},function(e,t){e.exports={name:"median",category:"Statistics",syntax:["median(a, b, c, ...)","median(A)"],description:"Compute the median of all values. The values are sorted and the middle value is returned. In case of an even number of values, the average of the two middle values is returned.",examples:["median(5, 2, 7)","median([3, -1, 5, 7])"],seealso:["max","mean","min","prod","std","sum","var"]}},function(e,t){e.exports={name:"min",category:"Statistics",syntax:["min(a, b, c, ...)","min(A)","min(A, dim)"],description:"Compute the minimum value of a list of values.",examples:["min(2, 3, 4, 1)","min([2, 3, 4, 1])","min([2, 5; 4, 3])","min([2, 5; 4, 3], 1)","min([2, 5; 4, 3], 2)","min(2.7, 7.1, -4.5, 2.0, 4.1)","max(2.7, 7.1, -4.5, 2.0, 4.1)"],seealso:["max","mean","median","prod","std","sum","var"]}},function(e,t){e.exports={name:"mode",category:"Statistics",syntax:["mode(a, b, c, ...)","mode(A)","mode(A, a, b, B, c, ...)"],description:"Computes the mode of all values as an array. In case mode being more than one, multiple values are returned in an array.",examples:["mode(5, 2, 7)","mode([3, -1, 5, 7])"],seealso:["max","mean","min","median","prod","std","sum","var"]}},function(e,t){e.exports={name:"prod",category:"Statistics",syntax:["prod(a, b, c, ...)","prod(A)"],description:"Compute the product of all values.",examples:["prod(2, 3, 4)","prod([2, 3, 4])","prod([2, 5; 4, 3])"],seealso:["max","mean","min","median","min","std","sum","var"]}},function(e,t){e.exports={name:"quantileSeq",category:"Statistics",syntax:["quantileSeq(A, prob[, sorted])","quantileSeq(A, [prob1, prob2, ...][, sorted])","quantileSeq(A, N[, sorted])"],description:"Compute the prob order quantile of a matrix or a list with values. The sequence is sorted and the middle value is returned. Supported types of sequence values are: Number, BigNumber, Unit Supported types of probablity are: Number, BigNumber. \n\nIn case of a (multi dimensional) array or matrix, the prob order quantile of all elements will be calculated.",examples:["quantileSeq([3, -1, 5, 7], 0.5)","quantileSeq([3, -1, 5, 7], [1/3, 2/3])","quantileSeq([3, -1, 5, 7], 2)","quantileSeq([-1, 3, 5, 7], 0.5, true)"],seealso:["mean","median","min","max","prod","std","sum","var"]}},function(e,t){e.exports={name:"std",category:"Statistics",syntax:["std(a, b, c, ...)","std(A)","std(A, normalization)"],description:'Compute the standard deviation of all values, defined as std(A) = sqrt(var(A)). Optional parameter normalization can be "unbiased" (default), "uncorrected", or "biased".',examples:["std(2, 4, 6)","std([2, 4, 6, 8])",'std([2, 4, 6, 8], "uncorrected")','std([2, 4, 6, 8], "biased")',"std([1, 2, 3; 4, 5, 6])"],seealso:["max","mean","min","median","min","prod","sum","var"]}},function(e,t){e.exports={name:"sum",category:"Statistics",syntax:["sum(a, b, c, ...)","sum(A)"],description:"Compute the sum of all values.",examples:["sum(2, 3, 4, 1)","sum([2, 3, 4, 1])","sum([2, 5; 4, 3])"],seealso:["max","mean","median","min","prod","std","sum","var"]}},function(e,t){e.exports={name:"var",category:"Statistics",syntax:["var(a, b, c, ...)","var(A)","var(A, normalization)"],description:'Compute the variance of all values. 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\ No newline at end of file diff --git a/docs/QuantumRegister.html b/docs/QuantumRegister.html index 53f1902..42b6c62 100644 --- a/docs/QuantumRegister.html +++ b/docs/QuantumRegister.html @@ -101,9 +101,9 @@

QuantumRegister.js

- 
		this.amplitudes = math
+            
		this.amplitudes = math.matrix([math
 			.zeros(math.pow(2, numQubits))
-			.toArray();

+			.toArray()], 'sparse');
@@ -118,7 +118,7 @@

QuantumRegister.js

- 
		this.amplitudes[0] = 1;
+ 
		this.amplitudes = math.subset(this.amplitudes, math.index(0, 0), 1);
@@ -191,6 +191,7 @@

QuantumRegister.js

this.numQubits, qubit1, qubit2); + this.amplitudes = math.multiply(this.amplitudes, gateMatrix); } } diff --git a/docs/gates.html b/docs/gates.html index fe69b9d..201465d 100644 --- a/docs/gates.html +++ b/docs/gates.html @@ -63,7 +63,8 @@

gates.js

- 
const math = require('mathjs');
+ 
const math = require('mathjs');
+const helper = require('./helper');
@@ -203,6 +204,7 @@

gates.js

[0, i] ]; } + static get SDagger() { return math.conj( math.transpose( @@ -233,6 +235,7 @@

gates.js

[0, math.pow(math.e, (math.multiply(i, math.pi / 4)))] ]; } + static get TDagger() { return math.conj( math.transpose( @@ -248,7 +251,8 @@

gates.js

# Helper Functions # ################################################# */ static generateGate(gate, numQubits, qubit1, qubit2 = 1) { - if (gate === 'CNOT') { + if (math.typeof(gate) === 'string') { + if (gate === 'CNOT') { @@ -263,8 +267,8 @@

gates.js

- 
      const control = qubit1;
-      const target = qubit2;
+ 
        const control = qubit1;
+        const target = qubit2;
@@ -279,8 +283,8 @@

gates.js

- 
      const identity = math.eye(2);
-      const X = this.X;
+ 
        const identity = math.eye(2, 'sparse');
+        const X = math.matrix(this.X, 'sparse');
@@ -291,16 +295,16 @@

gates.js

-

This matrix is the ‘Control Matrix’. At the end of the gate generation, -the NaN’s positions will be evaluated to figure out if it should be a -a 0 or a 1

+

This matrix is the ‘Control Matrix’. At the end of the gate +generation, the NaN’s positions will be evaluated to figure +out if it should be a 0 or a 1

- 
      const C = [
-        [NaN, 0],
-        [0, 1]
-      ];
+ 
        const C = math.matrix([
+          [NaN, 0],
+          [0, 1]
+        ], 'sparse');
@@ -315,16 +319,16 @@

gates.js

- 
      let gateOrder = [];
-      for (let i = 1; i <= numQubits; i++) {
-        if (i === control) {
-          gateOrder.push(C);
-        } else if (i === target) {
-          gateOrder.push(X);
-        } else {
-          gateOrder.push(identity);
-        }
-      }
+ 
        let gateOrder = [];
+        for (let i = 1; i <= numQubits; i++) {
+          if (i === control) {
+            gateOrder.push(C);
+          } else if (i === target) {
+            gateOrder.push(X);
+          } else {
+            gateOrder.push(identity);
+          }
+        }
@@ -340,7 +344,10 @@

gates.js

- 
      let newGate = gateOrder.reduce((a, b) => math.kron(a, b));
+ 
        let newGate = math.matrix(
+          gateOrder.reduce((a, b) => math.kron(a, b)),
+          'sparse'
+        );
@@ -351,14 +358,22 @@

gates.js

-

This needs to now be converted into an array if it is -returned from math.js as a matrix

+

Loop through the new matrix and if the NaN’s are in the +center, then replace with a 0, otherwise, replace with a 1

- 
      if (math.typeof(newGate) === 'Matrix') {
-        newGate = newGate.toArray();
-      }
+ 
        newGate = math.map(newGate, (val, index) => {
+          if (math.isNaN(val)) {
+            if (index[0] === index[1]) {
+              return 1;
+            } else {
+              return 0;
+            }
+          } else {
+            return val;
+          }
+        });
@@ -369,22 +384,12 @@

gates.js

-

Loop through the new matrix and if the NaN’s are in the -center, then replace with a 0, otherwise, replace with a 1

+

Return the expanded gate.

- 
      for (let i = 0; i < newGate.length; i++) {
-        for (let j = 0; j < newGate[i].length; j++) {
-          if (math.isNaN(newGate[i][j])) {
-            if (i === j) {
-              newGate[i][j] = 1;
-            } else {
-              newGate[i][j] = 0;
-            }
-          }
-        }
-      }
+ 
        return newGate;
+      } else {
@@ -395,12 +400,12 @@

gates.js

-

Return the expanded gate.

+

Put the gates here for easy access

- 
      return newGate;
-    } else {
+ 
          const identity = math.eye(2, 'sparse');
+          const mainGate = math.matrix(this[gate], 'sparse');
@@ -411,12 +416,20 @@

gates.js

-

Put the gates here for easy access

+

Again, Turn the gate order into an array, so that it can be +reduced later.

- 
      const identity = math.eye(2);
-      const mainGate = this[gate];
+ 
          let gateOrder = [];
+
+          for (let i = 1; i <= numQubits; i++) {
+            if (i === qubit1) {
+              gateOrder.push(mainGate);
+            } else {
+              gateOrder.push(identity);
+            }
+          }
@@ -427,20 +440,14 @@

gates.js

-

Again, Turn the gate order into an array, so that it can be -reduced later.

+

Reduce and return the expanded gate.

- 
      let gateOrder = [];
-
-      for (let i = 1; i <= numQubits; i++) {
-        if (i === qubit1) {
-          gateOrder.push(mainGate);
-        } else {
-          gateOrder.push(identity);
+            
          return gateOrder.reduce((a, b) => math.kron(a, b));
         }
-      }

+    } else if (math.typeof(gate) === 'Matrix'
+      || math.typeof(gate) === 'Array') {
@@ -451,14 +458,112 @@

gates.js

+

This expand / generates a gate from a user inputed matrix

+ + + + + + +
  • +
    + +
    + +
    +

    Put the gates here for easy access

    + +
    + + 
            const identity = math.eye(2, 'sparse');
+        const mainGate = math.matrix(gate, 'sparse');
    + +
    • + + +
  • +
    + +
    + +
    +

    Gate must be unitary so check here

    + +
    + + 
            if (!helper.isUnitary(mainGate)) {
    + +
    • + + +
  • +
    + +
    + +
    +

    It’s not unitary, throw an Error

    + +
    + + 
              throw new Error('The gate supplied to generateGate is not unitary');
+        }
    + +
    • + + +
  • +
    + +
    + +
    +

    Again, Turn the gate order into an array, so that it can be +reduced later.

    + +
    + + 
            let gateOrder = [];
+
+        for (let i = 1; i <= numQubits; i++) {
+          if (i === qubit1) {
+            gateOrder.push(mainGate);
+          } else {
+            gateOrder.push(identity);
+          }
+        }
    + +
    • + + +
  • +
    + +
    + +

    Reduce and return the expanded gate.

    - 
          return gateOrder.reduce((a, b) => math.kron(a, b));
-    }
-  }
+            
            return gateOrder.reduce((a, b) => math.kron(a, b));
+    }
    
+            
+
    • + + +
  • +
    + +
    + +
    +

    Doesn’t match a default case, return an Id gate

    +
    + + 
        return math.eye(math.pow(2, numQubits), 'sparse');
+  }
 }
 
 module.exports = gates;
    diff --git a/docs/helper.html b/docs/helper.html index d8e2773..9e8e14e 100644 --- a/docs/helper.html +++ b/docs/helper.html @@ -112,10 +112,66 @@

    helper.js

      return total;
+};
    + +
    • + + +
  • +
    + +
    + +
    +

    Checks to if a matrix is unitary. Accepts a mathjs matrix or +array, and returns true or false accordingly

    + +
    + + 
    const isUnitary = (matrix) => {
    + +
    • + + +
  • +
    + +
    + +
    +

    A Square matrix is unitary if its conjugate transpose is +equal to its inverse

    + +
    + + 
      const givenMatrix = math.matrix(matrix, 'sparse');
    + +
    • + + +
  • +
    + +
    + +
    +

    Check if its Square

    + +
    + + 
      if ((math.size(givenMatrix))[0] !== (math.size(givenMatrix))[1]) {
+    return false;
+  }
+
+  const conjugateTranspose = math.transpose(math.conj(givenMatrix));
+  const inverse = math.inv(givenMatrix);
+
+  return math.deepEqual(inverse, conjugateTranspose);
 };
 
 module.exports = {
-  sum: sum
+  sum: sum,
+  isUnitary: isUnitary
 };
    • diff --git a/lib/QuantumRegister.js b/lib/QuantumRegister.js index 3f662de..7e6a04a 100644 --- a/lib/QuantumRegister.js +++ b/lib/QuantumRegister.js @@ -18,9 +18,10 @@ var Register = function () { // The number of amplitudes needed is 2^n, Where N is the number of qubits. // The math.zeros function Creates a matrix of 0s, ie. math.zeros(5) = [0, // 0, 0, 0, 0] - this.amplitudes = math.zeros(math.pow(2, numQubits)).toArray(); + this.amplitudes = math.matrix([math.zeros(math.pow(2, numQubits)).toArray()], 'sparse'); + // Set the chance of getting all Zeros to 1 - this.amplitudes[0] = 1; + this.amplitudes = math.subset(this.amplitudes, math.index(0, 0), 1); // Set the fact it has not been measured this.measured = false; } @@ -45,6 +46,7 @@ var Register = function () { // Get the gate from the generateGates function, and then multiply the // amplitude vector against it var gateMatrix = gates.generateGate(gate, this.numQubits, qubit1, qubit2); + this.amplitudes = math.multiply(this.amplitudes, gateMatrix); } } diff --git a/lib/gates.js b/lib/gates.js index a8fb8e4..d0cf8ba 100644 --- a/lib/gates.js +++ b/lib/gates.js @@ -5,6 +5,7 @@ var _createClass = function () { function defineProperties(target, props) { for function _classCallCheck(instance, Constructor) { if (!(instance instanceof Constructor)) { throw new TypeError("Cannot call a class as a function"); } } var math = require('mathjs'); +var helper = require('./helper'); // Complex number i and -i for easy access var i = math.complex(0, 1); @@ -29,81 +30,110 @@ var gates = function () { value: function generateGate(gate, numQubits, qubit1) { var qubit2 = arguments.length > 3 && arguments[3] !== undefined ? arguments[3] : 1; - if (gate === 'CNOT') { - // Set the control and target qubits - var control = qubit1; - var target = qubit2; - - // Grab the gates now for easy access in the function - var identity = math.eye(2); - var X = this.X; - - // This matrix is the 'Control Matrix'. At the end of the gate generation, - // the NaN's positions will be evaluated to figure out if it should be a - // a 0 or a 1 - var C = [[NaN, 0], [0, 1]]; - - // Turn the gate order into an array, so that it can be reduced later. - var gateOrder = []; - for (var _i = 1; _i <= numQubits; _i++) { - if (_i === control) { - gateOrder.push(C); - } else if (_i === target) { - gateOrder.push(X); - } else { - gateOrder.push(identity); + if (math.typeof(gate) === 'string') { + if (gate === 'CNOT') { + // Set the control and target qubits + var control = qubit1; + var target = qubit2; + + // Grab the gates now for easy access in the function + var identity = math.eye(2, 'sparse'); + var X = math.matrix(this.X, 'sparse'); + + // This matrix is the 'Control Matrix'. At the end of the gate + // generation, the NaN's positions will be evaluated to figure + // out if it should be a 0 or a 1 + var C = math.matrix([[NaN, 0], [0, 1]], 'sparse'); + + // Turn the gate order into an array, so that it can be reduced later. + var gateOrder = []; + for (var _i = 1; _i <= numQubits; _i++) { + if (_i === control) { + gateOrder.push(C); + } else if (_i === target) { + gateOrder.push(X); + } else { + gateOrder.push(identity); + } } - } - - // Now the gateOrder array is taken and reduced using the - // 'Kronecker Product' - var newGate = gateOrder.reduce(function (a, b) { - return math.kron(a, b); - }); - - // This needs to now be converted into an array if it is - // returned from math.js as a matrix - if (math.typeof(newGate) === 'Matrix') { - newGate = newGate.toArray(); - } - // Loop through the new matrix and if the NaN's are in the - // center, then replace with a 0, otherwise, replace with a 1 - for (var _i2 = 0; _i2 < newGate.length; _i2++) { - for (var j = 0; j < newGate[_i2].length; j++) { - if (math.isNaN(newGate[_i2][j])) { - if (_i2 === j) { - newGate[_i2][j] = 1; + // Now the gateOrder array is taken and reduced using the + // 'Kronecker Product' + var newGate = math.matrix(gateOrder.reduce(function (a, b) { + return math.kron(a, b); + }), 'sparse'); + + // Loop through the new matrix and if the NaN's are in the + // center, then replace with a 0, otherwise, replace with a 1 + newGate = math.map(newGate, function (val, index) { + if (math.isNaN(val)) { + if (index[0] === index[1]) { + return 1; } else { - newGate[_i2][j] = 0; + return 0; } + } else { + return val; + } + }); + + // Return the expanded gate. + return newGate; + } else { + // Put the gates here for easy access + var _identity = math.eye(2, 'sparse'); + var mainGate = math.matrix(this[gate], 'sparse'); + + // Again, Turn the gate order into an array, so that it can be + // reduced later. + var _gateOrder = []; + + for (var _i2 = 1; _i2 <= numQubits; _i2++) { + if (_i2 === qubit1) { + _gateOrder.push(mainGate); + } else { + _gateOrder.push(_identity); } } + + // Reduce and return the expanded gate. + return _gateOrder.reduce(function (a, b) { + return math.kron(a, b); + }); } - // Return the expanded gate. - return newGate; - } else { + } else if (math.typeof(gate) === 'Matrix' || math.typeof(gate) === 'Array') { + // This expand / generates a gate from a user inputed matrix + // Put the gates here for easy access - var _identity = math.eye(2); - var mainGate = this[gate]; + var _identity2 = math.eye(2, 'sparse'); + var _mainGate = math.matrix(gate, 'sparse'); + + // Gate must be unitary so check here + if (!helper.isUnitary(_mainGate)) { + // It's not unitary, throw an Error + throw new Error('The gate supplied to generateGate is not unitary'); + } // Again, Turn the gate order into an array, so that it can be // reduced later. - var _gateOrder = []; + var _gateOrder2 = []; for (var _i3 = 1; _i3 <= numQubits; _i3++) { if (_i3 === qubit1) { - _gateOrder.push(mainGate); + _gateOrder2.push(_mainGate); } else { - _gateOrder.push(_identity); + _gateOrder2.push(_identity2); } } // Reduce and return the expanded gate. - return _gateOrder.reduce(function (a, b) { + return _gateOrder2.reduce(function (a, b) { return math.kron(a, b); }); } + + // Doesn't match a default case, return an Id gate + return math.eye(math.pow(2, numQubits), 'sparse'); } }, { key: 'X', diff --git a/lib/helper.js b/lib/helper.js index f8a258b..3562e6f 100644 --- a/lib/helper.js +++ b/lib/helper.js @@ -14,6 +14,25 @@ var sum = function sum(array) { return total; }; +// Checks to if a matrix is unitary. Accepts a mathjs matrix or +// array, and returns true or false accordingly +var isUnitary = function isUnitary(matrix) { + // A Square matrix is unitary if its conjugate transpose is + // equal to its inverse + var givenMatrix = math.matrix(matrix, 'sparse'); + + // Check if its Square + if (math.size(givenMatrix)[0] !== math.size(givenMatrix)[1]) { + return false; + } + + var conjugateTranspose = math.transpose(math.conj(givenMatrix)); + var inverse = math.inv(givenMatrix); + + return math.deepEqual(inverse, conjugateTranspose); +}; + module.exports = { - sum: sum + sum: sum, + isUnitary: isUnitary }; \ No newline at end of file diff --git a/package.json b/package.json index e84d502..8e48134 100644 --- a/package.json +++ b/package.json @@ -1,6 +1,6 @@ { "name": "qics", - "version": "1.0.2", + "version": "1.0.3", "description": "A Javascript Idealistic Quantum Computer Simulation Library", "main": "lib/index.js", "scripts": { @@ -10,9 +10,9 @@ "build:all": "npm run build && npm run build:var && npm run build:var:min && npm run docs", "clean": "rimraf lib dist coverage docs", "lint": "eslint src test examples", - "test": "mocha --compilers js:babel-core/register --recursive", + "test": "nyc mocha --compilers js:babel-core/register --recursive", "test:watch": "npm test -- --watch", - "docs": "rimraf docs && docco src/*.js -o ./docs" + "docs": "rimraf docs && docco src/*.js" }, "repository": { "type": "git", @@ -34,6 +34,7 @@ }, "homepage": "https://github.com/adamisntdead/qics", "dependencies": { + "docco": "^0.7.0", "mathjs": "^3.9.0", "weighted": "^0.3.0" }, @@ -45,11 +46,13 @@ "babel-preset-es2015": "^6.6.0", "chai": "^3.5.0", "cross-env": "^3.1.4", + "docco": "^0.7.0", "eslint": "^3.1.0", "eslint-plugin-import": "^2.0.1", "eslint-plugin-prefer-object-spread": "^1.1.0", "eslint-plugin-react": "^6.2.0", "mocha": "^3.2.0", + "nyc": "^10.1.2", "rimraf": "^2.5.2", "webpack": "^1.12.14" }, diff --git a/src/QuantumRegister.js b/src/QuantumRegister.js index 3b0af82..f83b244 100644 --- a/src/QuantumRegister.js +++ b/src/QuantumRegister.js @@ -10,11 +10,12 @@ class Register { // The number of amplitudes needed is 2^n, Where N is the number of qubits. // The math.zeros function Creates a matrix of 0s, ie. math.zeros(5) = [0, // 0, 0, 0, 0] - this.amplitudes = math + this.amplitudes = math.matrix([math .zeros(math.pow(2, numQubits)) - .toArray(); + .toArray()], 'sparse'); + // Set the chance of getting all Zeros to 1 - this.amplitudes[0] = 1; + this.amplitudes = math.subset(this.amplitudes, math.index(0, 0), 1); // Set the fact it has not been measured this.measured = false; } @@ -36,6 +37,7 @@ class Register { this.numQubits, qubit1, qubit2); + this.amplitudes = math.multiply(this.amplitudes, gateMatrix); } } diff --git a/src/gates.js b/src/gates.js index cb65902..6871b24 100644 --- a/src/gates.js +++ b/src/gates.js @@ -1,4 +1,5 @@ const math = require('mathjs'); +const helper = require('./helper'); // Complex number i and -i for easy access const i = math.complex(0, 1); @@ -53,6 +54,7 @@ class gates { [0, i] ]; } + static get SDagger() { return math.conj( math.transpose( @@ -71,6 +73,7 @@ class gates { [0, math.pow(math.e, (math.multiply(i, math.pi / 4)))] ]; } + static get TDagger() { return math.conj( math.transpose( @@ -86,83 +89,113 @@ class gates { # Helper Functions # ################################################# */ static generateGate(gate, numQubits, qubit1, qubit2 = 1) { - if (gate === 'CNOT') { - // Set the control and target qubits - const control = qubit1; - const target = qubit2; - - // Grab the gates now for easy access in the function - const identity = math.eye(2); - const X = this.X; - - // This matrix is the 'Control Matrix'. At the end of the gate generation, - // the NaN's positions will be evaluated to figure out if it should be a - // a 0 or a 1 - const C = [ - [NaN, 0], - [0, 1] - ]; - - // Turn the gate order into an array, so that it can be reduced later. - let gateOrder = []; - for (let i = 1; i <= numQubits; i++) { - if (i === control) { - gateOrder.push(C); - } else if (i === target) { - gateOrder.push(X); - } else { - gateOrder.push(identity); + if (math.typeof(gate) === 'string') { + if (gate === 'CNOT') { + // Set the control and target qubits + const control = qubit1; + const target = qubit2; + + // Grab the gates now for easy access in the function + const identity = math.eye(2, 'sparse'); + const X = math.matrix(this.X, 'sparse'); + + // This matrix is the 'Control Matrix'. At the end of the gate + // generation, the NaN's positions will be evaluated to figure + // out if it should be a 0 or a 1 + const C = math.matrix([ + [NaN, 0], + [0, 1] + ], 'sparse'); + + // Turn the gate order into an array, so that it can be reduced later. + let gateOrder = []; + for (let i = 1; i <= numQubits; i++) { + if (i === control) { + gateOrder.push(C); + } else if (i === target) { + gateOrder.push(X); + } else { + gateOrder.push(identity); + } } - } - - - // Now the gateOrder array is taken and reduced using the - // 'Kronecker Product' - let newGate = gateOrder.reduce((a, b) => math.kron(a, b)); - - // This needs to now be converted into an array if it is - // returned from math.js as a matrix - if (math.typeof(newGate) === 'Matrix') { - newGate = newGate.toArray(); - } - - // Loop through the new matrix and if the NaN's are in the - // center, then replace with a 0, otherwise, replace with a 1 - for (let i = 0; i < newGate.length; i++) { - for (let j = 0; j < newGate[i].length; j++) { - if (math.isNaN(newGate[i][j])) { - if (i === j) { - newGate[i][j] = 1; + + + // Now the gateOrder array is taken and reduced using the + // 'Kronecker Product' + let newGate = math.matrix( + gateOrder.reduce((a, b) => math.kron(a, b)), + 'sparse' + ); + + // Loop through the new matrix and if the NaN's are in the + // center, then replace with a 0, otherwise, replace with a 1 + newGate = math.map(newGate, (val, index) => { + if (math.isNaN(val)) { + if (index[0] === index[1]) { + return 1; + } else { + return 0; + } + } else { + return val; + } + }); + + // Return the expanded gate. + return newGate; + } else { + // Put the gates here for easy access + const identity = math.eye(2, 'sparse'); + const mainGate = math.matrix(this[gate], 'sparse'); + + // Again, Turn the gate order into an array, so that it can be + // reduced later. + let gateOrder = []; + + for (let i = 1; i <= numQubits; i++) { + if (i === qubit1) { + gateOrder.push(mainGate); } else { - newGate[i][j] = 0; + gateOrder.push(identity); } } + + // Reduce and return the expanded gate. + return gateOrder.reduce((a, b) => math.kron(a, b)); } - } - // Return the expanded gate. - return newGate; - } else { - // Put the gates here for easy access - const identity = math.eye(2); - const mainGate = this[gate]; - - // Again, Turn the gate order into an array, so that it can be - // reduced later. - let gateOrder = []; - - for (let i = 1; i <= numQubits; i++) { - if (i === qubit1) { - gateOrder.push(mainGate); - } else { - gateOrder.push(identity); + } else if (math.typeof(gate) === 'Matrix' + || math.typeof(gate) === 'Array') { + // This expand / generates a gate from a user inputed matrix + + // Put the gates here for easy access + const identity = math.eye(2, 'sparse'); + const mainGate = math.matrix(gate, 'sparse'); + + // Gate must be unitary so check here + if (!helper.isUnitary(mainGate)) { + // It's not unitary, throw an Error + throw new Error('The gate supplied to generateGate is not unitary'); + } + + // Again, Turn the gate order into an array, so that it can be + // reduced later. + let gateOrder = []; + + for (let i = 1; i <= numQubits; i++) { + if (i === qubit1) { + gateOrder.push(mainGate); + } else { + gateOrder.push(identity); + } } - } - // Reduce and return the expanded gate. - return gateOrder.reduce((a, b) => math.kron(a, b)); + // Reduce and return the expanded gate. + return gateOrder.reduce((a, b) => math.kron(a, b)); } - } + // Doesn't match a default case, return an Id gate + return math.eye(math.pow(2, numQubits), 'sparse'); + } } module.exports = gates; diff --git a/src/helper.js b/src/helper.js index c6eac7a..9fcbc84 100644 --- a/src/helper.js +++ b/src/helper.js @@ -12,6 +12,25 @@ const sum = (array) => { return total; }; +// Checks to if a matrix is unitary. Accepts a mathjs matrix or +// array, and returns true or false accordingly +const isUnitary = (matrix) => { + // A Square matrix is unitary if its conjugate transpose is + // equal to its inverse + const givenMatrix = math.matrix(matrix, 'sparse'); + + // Check if its Square + if ((math.size(givenMatrix))[0] !== (math.size(givenMatrix))[1]) { + return false; + } + + const conjugateTranspose = math.transpose(math.conj(givenMatrix)); + const inverse = math.inv(givenMatrix); + + return math.deepEqual(inverse, conjugateTranspose); +}; + module.exports = { - sum: sum + sum: sum, + isUnitary: isUnitary }; diff --git a/test/gates.test.js b/test/gates.test.js index b61172c..9bdfe34 100644 --- a/test/gates.test.js +++ b/test/gates.test.js @@ -3,6 +3,10 @@ import { expect } from 'chai'; const gates = require('../src/index').gates; const math = require('mathjs'); +// Complex number i and -i for easy access +const i = math.complex(0, 1); +const negI = math.complex(0, -1); + /* ######################################### # Cases # ######################################## */ @@ -29,4 +33,70 @@ describe('GenerateGate', () => { [0, 0, 0, 0, 0, 0, 1, 0] ])).to.equal(true); }); + + it('should generate from an inputed gate', () => { + // Gonna use my own X gate + expect(math.deepEqual(gates.generateGate('X', 2, 1), gates.generateGate([ + [0, 1], + [1, 0] + ], 2, 1))).to.equal(true); + }); + + it('should return an identity gate if the input isn\'t corrent', () => { + // Test with the input of a number, doesn't make sense so + // should be an id gate + expect(math.deepEqual( + math.eye(2), + gates.generateGate(7, 1, 1) + )).to.equal(true); + }); +}); + +describe('Gate Arrays', () => { + it('should return correct gates', () => { + expect(math.deepEqual(gates.X, [ + [0, 1], + [1, 0] + ])).to.equal(true); + expect(math.deepEqual(gates.Y, [ + [0, negI], + [i, 0] + ])).to.equal(true); + expect(math.deepEqual(gates.Z, [ + [1, 0], + [0, -1] + ])).to.equal(true); + expect(math.deepEqual(gates.H, math.multiply(1 / math.sqrt(2), [ + [1, 1], + [1, -1] + ]))).to.equal(true); + expect(math.deepEqual(gates.Id, [ + [1, 0], + [0, 1] + ])).to.equal(true); + expect(math.deepEqual(gates.S, [ + [1, 0], + [0, i] + ])).to.equal(true); + expect(math.deepEqual(gates.SDagger, math.conj( + math.transpose( + [ + [1, 0], + [0, i] + ] + ) + ))).to.equal(true); + expect(math.deepEqual(gates.T, [ + [1, 0], + [0, math.pow(math.e, (math.multiply(i, math.pi / 4)))] + ])).to.equal(true); + expect(math.deepEqual(gates.TDagger, math.conj( + math.transpose( + [ + [1, 0], + [0, math.pow(math.e, (math.multiply(i, math.pi / 4)))] + ] + ) + ))).to.equal(true); + }); });