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Scheduler = function Scheduler( element, options ) { var self = this; this.$element = $( element ); this.options = $.extend( {}, $.fn.scheduler.defaults, options ); // cache elements this.$startDate = this.$element.find( '.start-datetime .start-date' ); this.$startTime = this.$element.find( '.start-datetime .start-time' ); this.$timeZone = this.$element.find( '.timezone-container .timezone' ); this.$repeatIntervalPanel = this.$element.find( '.repeat-every-panel' ); this.$repeatIntervalSelect = this.$element.find( '.repeat-options' ); this.$repeatIntervalSpinbox = this.$element.find( '.repeat-every' ); this.$repeatIntervalTxt = this.$element.find( '.repeat-every-text' ); this.$end = this.$element.find( '.repeat-end' ); this.$endSelect = this.$end.find( '.end-options' ); this.$endAfter = this.$end.find( '.end-after' ); this.$endDate = this.$end.find( '.end-on-date' ); // panels this.$recurrencePanels = this.$element.find( '.repeat-panel' ); this.$repeatIntervalSelect.selectlist(); //initialize sub-controls this.$element.find( '.selectlist' ).selectlist(); this.$startDate.datepicker( this.options.startDateOptions ); var startDateResponse = ( typeof this.options.startDateChanged === "function" ) ? this.options.startDateChanged : this._guessEndDate; this.$startDate.on( 'change changed.fu.datepicker dateClicked.fu.datepicker', $.proxy( startDateResponse, this ) ); this.$startTime.combobox(); // init start time if ( this.$startTime.find( 'input' ).val() === '' ) { this.$startTime.combobox( 'selectByIndex', 0 ); } // every 0 days/hours doesn't make sense, change if not set if ( this.$repeatIntervalSpinbox.find( 'input' ).val() === '0' ) { this.$repeatIntervalSpinbox.spinbox( { 'value': 1, 'min': 1, 'limitToStep': true } ); } else { this.$repeatIntervalSpinbox.spinbox( { 'min': 1, 'limitToStep': true } ); } this.$endAfter.spinbox( { 'value': 1, 'min': 1, 'limitToStep': true } ); this.$endDate.datepicker( this.options.endDateOptions ); this.$element.find( '.radio-custom' ).radio(); // bind events: 'change' is a Bootstrap JS fired event this.$repeatIntervalSelect.on( 'changed.fu.selectlist', $.proxy( this.repeatIntervalSelectChanged, this ) ); this.$endSelect.on( 'changed.fu.selectlist', $.proxy( this.endSelectChanged, this ) ); this.$element.find( '.repeat-days-of-the-week .btn-group .btn' ).on( 'change.fu.scheduler', function( e, data ) { self.changed( e, data, true ); } ); this.$element.find( '.combobox' ).on( 'changed.fu.combobox', $.proxy( this.changed, this ) ); this.$element.find( '.datepicker' ).on( 'changed.fu.datepicker', $.proxy( this.changed, this ) ); this.$element.find( '.datepicker' ).on( 'dateClicked.fu.datepicker', $.proxy( this.changed, this ) ); this.$element.find( '.selectlist' ).on( 'changed.fu.selectlist', $.proxy( this.changed, this ) ); this.$element.find( '.spinbox' ).on( 'changed.fu.spinbox', $.proxy( this.changed, this ) ); this.$element.find( '.repeat-monthly .radio-custom, .repeat-yearly .radio-custom' ).on( 'change.fu.scheduler', $.proxy( this.changed, this ) ); }
setValue() sets the Placard triggering DOM element's display value @param {String} the value to be displayed @param {Boolean} If you want to explicitly suppress the application of ellipsis, pass `true`. This would typically only be done from internal functions (like `applyEllipsis`) that want to avoid circular logic. Otherwise, the value of the option applyEllipsis will be used. @return {Object} jQuery object representing the DOM element whose value was set
Scheduler
javascript
ExactTarget/fuelux
reference/dist/js/fuelux.js
https://github.com/ExactTarget/fuelux/blob/master/reference/dist/js/fuelux.js
BSD-3-Clause
_getFormattedDate = function _getFormattedDate( dateObj, dash ) { var fdate = ''; var item; fdate += dateObj.getFullYear(); fdate += dash; item = dateObj.getMonth() + 1; //because 0 indexing makes sense when dealing with months /sarcasm fdate += ( item < 10 ) ? '0' + item : item; fdate += dash; item = dateObj.getDate(); fdate += ( item < 10 ) ? '0' + item : item; return fdate; }
setValue() sets the Placard triggering DOM element's display value @param {String} the value to be displayed @param {Boolean} If you want to explicitly suppress the application of ellipsis, pass `true`. This would typically only be done from internal functions (like `applyEllipsis`) that want to avoid circular logic. Otherwise, the value of the option applyEllipsis will be used. @return {Object} jQuery object representing the DOM element whose value was set
_getFormattedDate
javascript
ExactTarget/fuelux
reference/dist/js/fuelux.js
https://github.com/ExactTarget/fuelux/blob/master/reference/dist/js/fuelux.js
BSD-3-Clause
_incrementDate = function _incrementDate( start, end, interval, increment ) { return new Date( start.getTime() + ( INTERVALS[ interval ] * increment ) ); }
setValue() sets the Placard triggering DOM element's display value @param {String} the value to be displayed @param {Boolean} If you want to explicitly suppress the application of ellipsis, pass `true`. This would typically only be done from internal functions (like `applyEllipsis`) that want to avoid circular logic. Otherwise, the value of the option applyEllipsis will be used. @return {Object} jQuery object representing the DOM element whose value was set
_incrementDate
javascript
ExactTarget/fuelux
reference/dist/js/fuelux.js
https://github.com/ExactTarget/fuelux/blob/master/reference/dist/js/fuelux.js
BSD-3-Clause
function z( n ) { return ( n < 10 ? '0' : '' ) + n; }
setValue() sets the Placard triggering DOM element's display value @param {String} the value to be displayed @param {Boolean} If you want to explicitly suppress the application of ellipsis, pass `true`. This would typically only be done from internal functions (like `applyEllipsis`) that want to avoid circular logic. Otherwise, the value of the option applyEllipsis will be used. @return {Object} jQuery object representing the DOM element whose value was set
z
javascript
ExactTarget/fuelux
reference/dist/js/fuelux.js
https://github.com/ExactTarget/fuelux/blob/master/reference/dist/js/fuelux.js
BSD-3-Clause
Picker = function Picker( element, options ) { var self = this; this.$element = $( element ); this.options = $.extend( {}, $.fn.picker.defaults, options ); this.$accept = this.$element.find( '.picker-accept' ); this.$cancel = this.$element.find( '.picker-cancel' ); this.$trigger = this.$element.find( '.picker-trigger' ); this.$footer = this.$element.find( '.picker-footer' ); this.$header = this.$element.find( '.picker-header' ); this.$popup = this.$element.find( '.picker-popup' ); this.$body = this.$element.find( '.picker-body' ); this.clickStamp = '_'; this.isInput = this.$trigger.is( 'input' ); this.$trigger.on( 'keydown.fu.picker', $.proxy( this.keyComplete, this ) ); this.$trigger.on( 'focus.fu.picker', $.proxy( function inputFocus( e ) { if ( typeof e === "undefined" || $( e.target ).is( 'input[type=text]' ) ) { $.proxy( this.show(), this ); } }, this ) ); this.$trigger.on( 'click.fu.picker', $.proxy( function triggerClick( e ) { if ( !$( e.target ).is( 'input[type=text]' ) ) { $.proxy( this.toggle(), this ); } else { $.proxy( this.show(), this ); } }, this ) ); this.$accept.on( 'click.fu.picker', $.proxy( this.complete, this, 'accepted' ) ); this.$cancel.on( 'click.fu.picker', function( e ) { e.preventDefault(); self.complete( 'cancelled' ); } ); }
setValue() sets the Placard triggering DOM element's display value @param {String} the value to be displayed @param {Boolean} If you want to explicitly suppress the application of ellipsis, pass `true`. This would typically only be done from internal functions (like `applyEllipsis`) that want to avoid circular logic. Otherwise, the value of the option applyEllipsis will be used. @return {Object} jQuery object representing the DOM element whose value was set
Picker
javascript
ExactTarget/fuelux
reference/dist/js/fuelux.js
https://github.com/ExactTarget/fuelux/blob/master/reference/dist/js/fuelux.js
BSD-3-Clause
_isOffscreen = function _isOffscreen( picker ) { var windowHeight = Math.max( document.documentElement.clientHeight, window.innerHeight || 0 ); var scrollTop = $( document ).scrollTop(); var popupTop = picker.$popup.offset(); var popupBottom = popupTop.top + picker.$popup.outerHeight( true ); //if the bottom of the popup goes off the page, but the top does not, dropup. if ( popupBottom > windowHeight + scrollTop || popupTop.top < scrollTop ) { return true; } else { //otherwise, prefer showing the top of the popup only vs the bottom return false; } }
setValue() sets the Placard triggering DOM element's display value @param {String} the value to be displayed @param {Boolean} If you want to explicitly suppress the application of ellipsis, pass `true`. This would typically only be done from internal functions (like `applyEllipsis`) that want to avoid circular logic. Otherwise, the value of the option applyEllipsis will be used. @return {Object} jQuery object representing the DOM element whose value was set
_isOffscreen
javascript
ExactTarget/fuelux
reference/dist/js/fuelux.js
https://github.com/ExactTarget/fuelux/blob/master/reference/dist/js/fuelux.js
BSD-3-Clause
_display = function _display( picker ) { picker.$popup.css( 'visibility', 'hidden' ); _showBelow( picker ); //if part of the popup is offscreen try to show it above if ( _isOffscreen( picker ) ) { _showAbove( picker ); //if part of the popup is still offscreen, prefer cutting off the bottom if ( _isOffscreen( picker ) ) { _showBelow( picker ); } } picker.$popup.css( 'visibility', 'visible' ); }
setValue() sets the Placard triggering DOM element's display value @param {String} the value to be displayed @param {Boolean} If you want to explicitly suppress the application of ellipsis, pass `true`. This would typically only be done from internal functions (like `applyEllipsis`) that want to avoid circular logic. Otherwise, the value of the option applyEllipsis will be used. @return {Object} jQuery object representing the DOM element whose value was set
_display
javascript
ExactTarget/fuelux
reference/dist/js/fuelux.js
https://github.com/ExactTarget/fuelux/blob/master/reference/dist/js/fuelux.js
BSD-3-Clause
_showAbove = function _showAbove( picker ) { picker.$popup.css( 'top', -picker.$popup.outerHeight( true ) + 'px' ); }
setValue() sets the Placard triggering DOM element's display value @param {String} the value to be displayed @param {Boolean} If you want to explicitly suppress the application of ellipsis, pass `true`. This would typically only be done from internal functions (like `applyEllipsis`) that want to avoid circular logic. Otherwise, the value of the option applyEllipsis will be used. @return {Object} jQuery object representing the DOM element whose value was set
_showAbove
javascript
ExactTarget/fuelux
reference/dist/js/fuelux.js
https://github.com/ExactTarget/fuelux/blob/master/reference/dist/js/fuelux.js
BSD-3-Clause
_showBelow = function _showBelow( picker ) { picker.$popup.css( 'top', picker.$trigger.outerHeight( true ) + 'px' ); }
setValue() sets the Placard triggering DOM element's display value @param {String} the value to be displayed @param {Boolean} If you want to explicitly suppress the application of ellipsis, pass `true`. This would typically only be done from internal functions (like `applyEllipsis`) that want to avoid circular logic. Otherwise, the value of the option applyEllipsis will be used. @return {Object} jQuery object representing the DOM element whose value was set
_showBelow
javascript
ExactTarget/fuelux
reference/dist/js/fuelux.js
https://github.com/ExactTarget/fuelux/blob/master/reference/dist/js/fuelux.js
BSD-3-Clause
function _create(data, format, datatype) { // get storage format constructor var M = type.Matrix.storage(format || 'default'); // create instance return new M(data, datatype); }
Create a new Matrix with given storage format @param {Array} data @param {string} [format] @param {string} [datatype] @returns {Matrix} Returns a new Matrix @private
_create
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function size(x) { var s = []; while (Array.isArray(x)) { s.push(x.length); x = x[0]; } return s; }
Calculate the size of a multi dimensional array. This function checks the size of the first entry, it does not validate whether all dimensions match. (use function `validate` for that) @param {Array} x @Return {Number[]} size
size
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _validate(array, size, dim) { var i; var len = array.length; if (len !== size[dim]) { throw new _error_DimensionError__WEBPACK_IMPORTED_MODULE_2___default.a(len, size[dim]); } if (dim < size.length - 1) { // recursively validate each child array var dimNext = dim + 1; for (i = 0; i < len; i++) { var child = array[i]; if (!Array.isArray(child)) { throw new _error_DimensionError__WEBPACK_IMPORTED_MODULE_2___default.a(size.length - 1, size.length, '<'); } _validate(array[i], size, dimNext); } } else { // last dimension. none of the childs may be an array for (i = 0; i < len; i++) { if (Array.isArray(array[i])) { throw new _error_DimensionError__WEBPACK_IMPORTED_MODULE_2___default.a(size.length + 1, size.length, '>'); } } } }
Recursively validate whether each element in a multi dimensional array has a size corresponding to the provided size array. @param {Array} array Array to be validated @param {number[]} size Array with the size of each dimension @param {number} dim Current dimension @throws DimensionError @private
_validate
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function validate(array, size) { var isScalar = size.length === 0; if (isScalar) { // scalar if (Array.isArray(array)) { throw new _error_DimensionError__WEBPACK_IMPORTED_MODULE_2___default.a(array.length, 0); } } else { // array _validate(array, size, 0); } }
Validate whether each element in a multi dimensional array has a size corresponding to the provided size array. @param {Array} array Array to be validated @param {number[]} size Array with the size of each dimension @throws DimensionError
validate
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function validateIndex(index, length) { if (!_number__WEBPACK_IMPORTED_MODULE_0___default.a.isNumber(index) || !_number__WEBPACK_IMPORTED_MODULE_0___default.a.isInteger(index)) { throw new TypeError('Index must be an integer (value: ' + index + ')'); } if (index < 0 || typeof length === 'number' && index >= length) { throw new _error_IndexError__WEBPACK_IMPORTED_MODULE_3___default.a(index, length); } }
Test whether index is an integer number with index >= 0 and index < length when length is provided @param {number} index Zero-based index @param {number} [length] Length of the array
validateIndex
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function resize(array, size, defaultValue) { // TODO: add support for scalars, having size=[] ? // check the type of the arguments if (!Array.isArray(array) || !Array.isArray(size)) { throw new TypeError('Array expected'); } if (size.length === 0) { throw new Error('Resizing to scalar is not supported'); } // check whether size contains positive integers size.forEach(function (value) { if (!_number__WEBPACK_IMPORTED_MODULE_0___default.a.isNumber(value) || !_number__WEBPACK_IMPORTED_MODULE_0___default.a.isInteger(value) || value < 0) { throw new TypeError('Invalid size, must contain positive integers ' + '(size: ' + _string__WEBPACK_IMPORTED_MODULE_1___default.a.format(size) + ')'); } }); // recursively resize the array var _defaultValue = defaultValue !== undefined ? defaultValue : 0; _resize(array, size, 0, _defaultValue); return array; }
Resize a multi dimensional array. The resized array is returned. @param {Array} array Array to be resized @param {Array.<number>} size Array with the size of each dimension @param {*} [defaultValue=0] Value to be filled in in new entries, zero by default. Specify for example `null`, to clearly see entries that are not explicitly set. @return {Array} array The resized array
resize
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _resize(array, size, dim, defaultValue) { var i; var elem; var oldLen = array.length; var newLen = size[dim]; var minLen = Math.min(oldLen, newLen); // apply new length array.length = newLen; if (dim < size.length - 1) { // non-last dimension var dimNext = dim + 1; // resize existing child arrays for (i = 0; i < minLen; i++) { // resize child array elem = array[i]; if (!Array.isArray(elem)) { elem = [elem]; // add a dimension array[i] = elem; } _resize(elem, size, dimNext, defaultValue); } // create new child arrays for (i = minLen; i < newLen; i++) { // get child array elem = []; array[i] = elem; // resize new child array _resize(elem, size, dimNext, defaultValue); } } else { // last dimension // remove dimensions of existing values for (i = 0; i < minLen; i++) { while (Array.isArray(array[i])) { array[i] = array[i][0]; } } // fill new elements with the default value for (i = minLen; i < newLen; i++) { array[i] = defaultValue; } } }
Recursively resize a multi dimensional array @param {Array} array Array to be resized @param {number[]} size Array with the size of each dimension @param {number} dim Current dimension @param {*} [defaultValue] Value to be filled in in new entries, undefined by default. @private
_resize
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function reshape(array, sizes) { var flatArray = flatten(array); var newArray; function product(arr) { return arr.reduce(function (prev, curr) { return prev * curr; }); } if (!Array.isArray(array) || !Array.isArray(sizes)) { throw new TypeError('Array expected'); } if (sizes.length === 0) { throw new _error_DimensionError__WEBPACK_IMPORTED_MODULE_2___default.a(0, product(size(array)), '!='); } var totalSize = 1; for (var sizeIndex = 0; sizeIndex < sizes.length; sizeIndex++) { totalSize *= sizes[sizeIndex]; } if (flatArray.length !== totalSize) { throw new _error_DimensionError__WEBPACK_IMPORTED_MODULE_2___default.a(product(sizes), product(size(array)), '!='); } try { newArray = _reshape(flatArray, sizes); } catch (e) { if (e instanceof _error_DimensionError__WEBPACK_IMPORTED_MODULE_2___default.a) { throw new _error_DimensionError__WEBPACK_IMPORTED_MODULE_2___default.a(product(sizes), product(size(array)), '!='); } throw e; } return newArray; }
Re-shape a multi dimensional array to fit the specified dimensions @param {Array} array Array to be reshaped @param {Array.<number>} sizes List of sizes for each dimension @returns {Array} Array whose data has been formatted to fit the specified dimensions @throws {DimensionError} If the product of the new dimension sizes does not equal that of the old ones
reshape
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function product(arr) { return arr.reduce(function (prev, curr) { return prev * curr; }); }
Re-shape a multi dimensional array to fit the specified dimensions @param {Array} array Array to be reshaped @param {Array.<number>} sizes List of sizes for each dimension @returns {Array} Array whose data has been formatted to fit the specified dimensions @throws {DimensionError} If the product of the new dimension sizes does not equal that of the old ones
product
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _reshape(array, sizes) { // testing if there are enough elements for the requested shape var tmpArray = array; var tmpArray2; // for each dimensions starting by the last one and ignoring the first one for (var sizeIndex = sizes.length - 1; sizeIndex > 0; sizeIndex--) { var size = sizes[sizeIndex]; tmpArray2 = []; // aggregate the elements of the current tmpArray in elements of the requested size var length = tmpArray.length / size; for (var i = 0; i < length; i++) { tmpArray2.push(tmpArray.slice(i * size, (i + 1) * size)); } // set it as the new tmpArray for the next loop turn or for return tmpArray = tmpArray2; } return tmpArray; }
Iteratively re-shape a multi dimensional array to fit the specified dimensions @param {Array} array Array to be reshaped @param {Array.<number>} sizes List of sizes for each dimension @returns {Array} Array whose data has been formatted to fit the specified dimensions
_reshape
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function squeeze(array, arraySize) { var s = arraySize || size(array); // squeeze outer dimensions while (Array.isArray(array) && array.length === 1) { array = array[0]; s.shift(); } // find the first dimension to be squeezed var dims = s.length; while (s[dims - 1] === 1) { dims--; } // squeeze inner dimensions if (dims < s.length) { array = _squeeze(array, dims, 0); s.length = dims; } return array; }
Squeeze a multi dimensional array @param {Array} array @param {Array} [arraySize] @returns {Array} returns the array itself
squeeze
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _squeeze(array, dims, dim) { var i, ii; if (dim < dims) { var next = dim + 1; for (i = 0, ii = array.length; i < ii; i++) { array[i] = _squeeze(array[i], dims, next); } } else { while (Array.isArray(array)) { array = array[0]; } } return array; }
Recursively squeeze a multi dimensional array @param {Array} array @param {number} dims Required number of dimensions @param {number} dim Current dimension @returns {Array | *} Returns the squeezed array @private
_squeeze
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function unsqueeze(array, dims, outer, arraySize) { var s = arraySize || size(array); // unsqueeze outer dimensions if (outer) { for (var i = 0; i < outer; i++) { array = [array]; s.unshift(1); } } // unsqueeze inner dimensions array = _unsqueeze(array, dims, 0); while (s.length < dims) { s.push(1); } return array; }
Unsqueeze a multi dimensional array: add dimensions when missing Paramter `size` will be mutated to match the new, unqueezed matrix size. @param {Array} array @param {number} dims Desired number of dimensions of the array @param {number} [outer] Number of outer dimensions to be added @param {Array} [arraySize] Current size of array. @returns {Array} returns the array itself @private
unsqueeze
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _unsqueeze(array, dims, dim) { var i, ii; if (Array.isArray(array)) { var next = dim + 1; for (i = 0, ii = array.length; i < ii; i++) { array[i] = _unsqueeze(array[i], dims, next); } } else { for (var d = dim; d < dims; d++) { array = [array]; } } return array; }
Recursively unsqueeze a multi dimensional array @param {Array} array @param {number} dims Required number of dimensions @param {number} dim Current dimension @returns {Array | *} Returns the squeezed array @private
_unsqueeze
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function flatten(array) { if (!Array.isArray(array)) { // if not an array, return as is return array; } var flat = []; array.forEach(function callback(value) { if (Array.isArray(value)) { value.forEach(callback); // traverse through sub-arrays recursively } else { flat.push(value); } }); return flat; }
Flatten a multi dimensional array, put all elements in a one dimensional array @param {Array} array A multi dimensional array @return {Array} The flattened array (1 dimensional)
flatten
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function map(array, callback) { return Array.prototype.map.call(array, callback); }
A safe map @param {Array} array @param {function} callback
map
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function forEach(array, callback) { Array.prototype.forEach.call(array, callback); }
A safe forEach @param {Array} array @param {function} callback
forEach
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function filter(array, callback) { if (size(array).length !== 1) { throw new Error('Only one dimensional matrices supported'); } return Array.prototype.filter.call(array, callback); }
A safe filter @param {Array} array @param {function} callback
filter
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function filterRegExp(array, regexp) { if (size(array).length !== 1) { throw new Error('Only one dimensional matrices supported'); } return Array.prototype.filter.call(array, function (entry) { return regexp.test(entry); }); }
Filter values in a callback given a regular expression @param {Array} array @param {RegExp} regexp @return {Array} Returns the filtered array @private
filterRegExp
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function join(array, separator) { return Array.prototype.join.call(array, separator); }
A safe join @param {Array} array @param {string} separator
join
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function identify(a) { if (!Array.isArray(a)) { throw new TypeError('Array input expected'); } if (a.length === 0) { return a; } var b = []; var count = 0; b[0] = { value: a[0], identifier: 0 }; for (var i = 1; i < a.length; i++) { if (a[i] === a[i - 1]) { count++; } else { count = 0; } b.push({ value: a[i], identifier: count }); } return b; }
Assign a numeric identifier to every element of a sorted array @param {Array} a An array @return {Array} An array of objects containing the original value and its identifier
identify
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function generalize(a) { if (!Array.isArray(a)) { throw new TypeError('Array input expected'); } if (a.length === 0) { return a; } var b = []; for (var i = 0; i < a.length; i++) { b.push(a[i].value); } return b; }
Remove the numeric identifier from the elements @param {array} a An array @return {array} An array of values without identifiers
generalize
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function zeros(length) { var arr = []; for (var i = 0; i < length; i++) { arr.push(0); } return arr; }
Create an array filled with zeros. @param {number} length @return {Array}
zeros
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
algorithm14 = function algorithm14(a, b, callback, inverse) { // a arrays var adata = a._data; var asize = a._size; var adt = a._datatype; // datatype var dt; // callback signature to use var cf = callback; // process data types if (typeof adt === 'string') { // datatype dt = adt; // convert b to the same datatype b = typed.convert(b, dt); // callback cf = typed.find(callback, [dt, dt]); } // populate cdata, iterate through dimensions var cdata = asize.length > 0 ? _iterate(cf, 0, asize, asize[0], adata, b, inverse) : []; // c matrix return new DenseMatrix({ data: cdata, size: clone(asize), datatype: dt }); }
Iterates over DenseMatrix items and invokes the callback function f(Aij..z, b). Callback function invoked MxN times. C(i,j,...z) = f(Aij..z, b) @param {Matrix} a The DenseMatrix instance (A) @param {Scalar} b The Scalar value @param {Function} callback The f(Aij..z,b) operation to invoke @param {boolean} inverse A true value indicates callback should be invoked f(b,Aij..z) @return {Matrix} DenseMatrix (C) https://github.com/josdejong/mathjs/pull/346#issuecomment-97659042
algorithm14
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _iterate(f, level, s, n, av, bv, inverse) { // initialize array for this level var cv = []; // check we reach the last level if (level === s.length - 1) { // loop arrays in last level for (var i = 0; i < n; i++) { // invoke callback and store value cv[i] = inverse ? f(bv, av[i]) : f(av[i], bv); } } else { // iterate current level for (var j = 0; j < n; j++) { // iterate next level cv[j] = _iterate(f, level + 1, s, s[level + 1], av[j], bv, inverse); } } return cv; }
Iterates over DenseMatrix items and invokes the callback function f(Aij..z, b). Callback function invoked MxN times. C(i,j,...z) = f(Aij..z, b) @param {Matrix} a The DenseMatrix instance (A) @param {Scalar} b The Scalar value @param {Function} callback The f(Aij..z,b) operation to invoke @param {boolean} inverse A true value indicates callback should be invoked f(b,Aij..z) @return {Matrix} DenseMatrix (C) https://github.com/josdejong/mathjs/pull/346#issuecomment-97659042
_iterate
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
algorithm13 = function algorithm13(a, b, callback) { // a arrays var adata = a._data; var asize = a._size; var adt = a._datatype; // b arrays var bdata = b._data; var bsize = b._size; var bdt = b._datatype; // c arrays var csize = []; // validate dimensions if (asize.length !== bsize.length) { throw new DimensionError(asize.length, bsize.length); } // validate each one of the dimension sizes for (var s = 0; s < asize.length; s++) { // must match if (asize[s] !== bsize[s]) { throw new RangeError('Dimension mismatch. Matrix A (' + asize + ') must match Matrix B (' + bsize + ')'); } // update dimension in c csize[s] = asize[s]; } // datatype var dt; // callback signature to use var cf = callback; // process data types if (typeof adt === 'string' && adt === bdt) { // datatype dt = adt; // callback cf = typed.find(callback, [dt, dt]); } // populate cdata, iterate through dimensions var cdata = csize.length > 0 ? _iterate(cf, 0, csize, csize[0], adata, bdata) : []; // c matrix return new DenseMatrix({ data: cdata, size: csize, datatype: dt }); }
Iterates over DenseMatrix items and invokes the callback function f(Aij..z, Bij..z). Callback function invoked MxN times. C(i,j,...z) = f(Aij..z, Bij..z) @param {Matrix} a The DenseMatrix instance (A) @param {Matrix} b The DenseMatrix instance (B) @param {Function} callback The f(Aij..z,Bij..z) operation to invoke @return {Matrix} DenseMatrix (C) https://github.com/josdejong/mathjs/pull/346#issuecomment-97658658
algorithm13
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _iterate(f, level, s, n, av, bv) { // initialize array for this level var cv = []; // check we reach the last level if (level === s.length - 1) { // loop arrays in last level for (var i = 0; i < n; i++) { // invoke callback and store value cv[i] = f(av[i], bv[i]); } } else { // iterate current level for (var j = 0; j < n; j++) { // iterate next level cv[j] = _iterate(f, level + 1, s, s[level + 1], av[j], bv[j]); } } return cv; }
Iterates over DenseMatrix items and invokes the callback function f(Aij..z, Bij..z). Callback function invoked MxN times. C(i,j,...z) = f(Aij..z, Bij..z) @param {Matrix} a The DenseMatrix instance (A) @param {Matrix} b The DenseMatrix instance (B) @param {Function} callback The f(Aij..z,Bij..z) operation to invoke @return {Matrix} DenseMatrix (C) https://github.com/josdejong/mathjs/pull/346#issuecomment-97658658
_iterate
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function DimensionError(actual, expected, relation) { if (!(this instanceof DimensionError)) { throw new SyntaxError('Constructor must be called with the new operator'); } this.actual = actual; this.expected = expected; this.relation = relation; this.message = 'Dimension mismatch (' + (Array.isArray(actual) ? '[' + actual.join(', ') + ']' : actual) + ' ' + (this.relation || '!=') + ' ' + (Array.isArray(expected) ? '[' + expected.join(', ') + ']' : expected) + ')'; this.stack = new Error().stack; }
Create a range error with the message: 'Dimension mismatch (<actual size> != <expected size>)' @param {number | number[]} actual The actual size @param {number | number[]} expected The expected size @param {string} [relation='!='] Optional relation between actual and expected size: '!=', '<', etc. @extends RangeError
DimensionError
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function formatArray(array, options) { if (Array.isArray(array)) { var str = '['; var len = array.length; for (var i = 0; i < len; i++) { if (i !== 0) { str += ', '; } str += formatArray(array[i], options); } str += ']'; return str; } else { return exports.format(array, options); } }
Recursively format an n-dimensional matrix Example output: "[[1, 2], [3, 4]]" @param {Array} array @param {Object | number | Function} [options] Formatting options. See lib/utils/number:format for a description of the available options. @returns {string} str
formatArray
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function looksLikeFraction(value) { return value && _typeof(value) === 'object' && typeof value.s === 'number' && typeof value.n === 'number' && typeof value.d === 'number' || false; }
Check whether a value looks like a Fraction (unsafe duck-type check) @param {*} value @return {boolean}
looksLikeFraction
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _validateMatrixDimensions(size1, size2) { // check left operand dimensions switch (size1.length) { case 1: // check size2 switch (size2.length) { case 1: // Vector x Vector if (size1[0] !== size2[0]) { // throw error throw new RangeError('Dimension mismatch in multiplication. Vectors must have the same length'); } break; case 2: // Vector x Matrix if (size1[0] !== size2[0]) { // throw error throw new RangeError('Dimension mismatch in multiplication. Vector length (' + size1[0] + ') must match Matrix rows (' + size2[0] + ')'); } break; default: throw new Error('Can only multiply a 1 or 2 dimensional matrix (Matrix B has ' + size2.length + ' dimensions)'); } break; case 2: // check size2 switch (size2.length) { case 1: // Matrix x Vector if (size1[1] !== size2[0]) { // throw error throw new RangeError('Dimension mismatch in multiplication. Matrix columns (' + size1[1] + ') must match Vector length (' + size2[0] + ')'); } break; case 2: // Matrix x Matrix if (size1[1] !== size2[0]) { // throw error throw new RangeError('Dimension mismatch in multiplication. Matrix A columns (' + size1[1] + ') must match Matrix B rows (' + size2[0] + ')'); } break; default: throw new Error('Can only multiply a 1 or 2 dimensional matrix (Matrix B has ' + size2.length + ' dimensions)'); } break; default: throw new Error('Can only multiply a 1 or 2 dimensional matrix (Matrix A has ' + size1.length + ' dimensions)'); } }
Multiply two or more values, `x * y`. For matrices, the matrix product is calculated. Syntax: math.multiply(x, y) math.multiply(x, y, z, ...) Examples: math.multiply(4, 5.2) // returns number 20.8 math.multiply(2, 3, 4) // returns number 24 const a = math.complex(2, 3) const b = math.complex(4, 1) math.multiply(a, b) // returns Complex 5 + 14i const c = [[1, 2], [4, 3]] const d = [[1, 2, 3], [3, -4, 7]] math.multiply(c, d) // returns Array [[7, -6, 17], [13, -4, 33]] const e = math.unit('2.1 km') math.multiply(3, e) // returns Unit 6.3 km See also: divide, prod, cross, dot @param {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} x First value to multiply @param {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} y Second value to multiply @return {number | BigNumber | Fraction | Complex | Unit | Array | Matrix} Multiplication of `x` and `y`
_validateMatrixDimensions
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _multiplyVectorVector(a, b, n) { // check empty vector if (n === 0) { throw new Error('Cannot multiply two empty vectors'); } // a dense var adata = a._data; var adt = a._datatype; // b dense var bdata = b._data; var bdt = b._datatype; // datatype var dt; // addScalar signature to use var af = addScalar; // multiplyScalar signature to use var mf = multiplyScalar; // process data types if (adt && bdt && adt === bdt && typeof adt === 'string') { // datatype dt = adt; // find signatures that matches (dt, dt) af = typed.find(addScalar, [dt, dt]); mf = typed.find(multiplyScalar, [dt, dt]); } // result (do not initialize it with zero) var c = mf(adata[0], bdata[0]); // loop data for (var i = 1; i < n; i++) { // multiply and accumulate c = af(c, mf(adata[i], bdata[i])); } return c; }
C = A * B @param {Matrix} a Dense Vector (N) @param {Matrix} b Dense Vector (N) @return {number} Scalar value
_multiplyVectorVector
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _multiplyVectorMatrix(a, b) { // process storage if (b.storage() !== 'dense') { throw new Error('Support for SparseMatrix not implemented'); } return _multiplyVectorDenseMatrix(a, b); }
C = A * B @param {Matrix} a Dense Vector (M) @param {Matrix} b Matrix (MxN) @return {Matrix} Dense Vector (N)
_multiplyVectorMatrix
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _multiplyVectorDenseMatrix(a, b) { // a dense var adata = a._data; var asize = a._size; var adt = a._datatype; // b dense var bdata = b._data; var bsize = b._size; var bdt = b._datatype; // rows & columns var alength = asize[0]; var bcolumns = bsize[1]; // datatype var dt; // addScalar signature to use var af = addScalar; // multiplyScalar signature to use var mf = multiplyScalar; // process data types if (adt && bdt && adt === bdt && typeof adt === 'string') { // datatype dt = adt; // find signatures that matches (dt, dt) af = typed.find(addScalar, [dt, dt]); mf = typed.find(multiplyScalar, [dt, dt]); } // result var c = []; // loop matrix columns for (var j = 0; j < bcolumns; j++) { // sum (do not initialize it with zero) var sum = mf(adata[0], bdata[0][j]); // loop vector for (var i = 1; i < alength; i++) { // multiply & accumulate sum = af(sum, mf(adata[i], bdata[i][j])); } c[j] = sum; } // return matrix return new DenseMatrix({ data: c, size: [bcolumns], datatype: dt }); }
C = A * B @param {Matrix} a Dense Vector (M) @param {Matrix} b Dense Matrix (MxN) @return {Matrix} Dense Vector (N)
_multiplyVectorDenseMatrix
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _multiplyDenseMatrixVector(a, b) { // a dense var adata = a._data; var asize = a._size; var adt = a._datatype; // b dense var bdata = b._data; var bdt = b._datatype; // rows & columns var arows = asize[0]; var acolumns = asize[1]; // datatype var dt; // addScalar signature to use var af = addScalar; // multiplyScalar signature to use var mf = multiplyScalar; // process data types if (adt && bdt && adt === bdt && typeof adt === 'string') { // datatype dt = adt; // find signatures that matches (dt, dt) af = typed.find(addScalar, [dt, dt]); mf = typed.find(multiplyScalar, [dt, dt]); } // result var c = []; // loop matrix a rows for (var i = 0; i < arows; i++) { // current row var row = adata[i]; // sum (do not initialize it with zero) var sum = mf(row[0], bdata[0]); // loop matrix a columns for (var j = 1; j < acolumns; j++) { // multiply & accumulate sum = af(sum, mf(row[j], bdata[j])); } c[i] = sum; } // return matrix return new DenseMatrix({ data: c, size: [arows], datatype: dt }); }
C = A * B @param {Matrix} a DenseMatrix (MxN) @param {Matrix} b Dense Vector (N) @return {Matrix} Dense Vector (M)
_multiplyDenseMatrixVector
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _multiplyDenseMatrixDenseMatrix(a, b) { // a dense var adata = a._data; var asize = a._size; var adt = a._datatype; // b dense var bdata = b._data; var bsize = b._size; var bdt = b._datatype; // rows & columns var arows = asize[0]; var acolumns = asize[1]; var bcolumns = bsize[1]; // datatype var dt; // addScalar signature to use var af = addScalar; // multiplyScalar signature to use var mf = multiplyScalar; // process data types if (adt && bdt && adt === bdt && typeof adt === 'string') { // datatype dt = adt; // find signatures that matches (dt, dt) af = typed.find(addScalar, [dt, dt]); mf = typed.find(multiplyScalar, [dt, dt]); } // result var c = []; // loop matrix a rows for (var i = 0; i < arows; i++) { // current row var row = adata[i]; // initialize row array c[i] = []; // loop matrix b columns for (var j = 0; j < bcolumns; j++) { // sum (avoid initializing sum to zero) var sum = mf(row[0], bdata[0][j]); // loop matrix a columns for (var x = 1; x < acolumns; x++) { // multiply & accumulate sum = af(sum, mf(row[x], bdata[x][j])); } c[i][j] = sum; } } // return matrix return new DenseMatrix({ data: c, size: [arows, bcolumns], datatype: dt }); }
C = A * B @param {Matrix} a DenseMatrix (MxN) @param {Matrix} b DenseMatrix (NxC) @return {Matrix} DenseMatrix (MxC)
_multiplyDenseMatrixDenseMatrix
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _multiplyDenseMatrixSparseMatrix(a, b) { // a dense var adata = a._data; var asize = a._size; var adt = a._datatype; // b sparse var bvalues = b._values; var bindex = b._index; var bptr = b._ptr; var bsize = b._size; var bdt = b._datatype; // validate b matrix if (!bvalues) { throw new Error('Cannot multiply Dense Matrix times Pattern only Matrix'); } // rows & columns var arows = asize[0]; var bcolumns = bsize[1]; // datatype var dt; // addScalar signature to use var af = addScalar; // multiplyScalar signature to use var mf = multiplyScalar; // equalScalar signature to use var eq = equalScalar; // zero value var zero = 0; // process data types if (adt && bdt && adt === bdt && typeof adt === 'string') { // datatype dt = adt; // find signatures that matches (dt, dt) af = typed.find(addScalar, [dt, dt]); mf = typed.find(multiplyScalar, [dt, dt]); eq = typed.find(equalScalar, [dt, dt]); // convert 0 to the same datatype zero = typed.convert(0, dt); } // result var cvalues = []; var cindex = []; var cptr = []; // c matrix var c = new SparseMatrix({ values: cvalues, index: cindex, ptr: cptr, size: [arows, bcolumns], datatype: dt }); // loop b columns for (var jb = 0; jb < bcolumns; jb++) { // update ptr cptr[jb] = cindex.length; // indeces in column jb var kb0 = bptr[jb]; var kb1 = bptr[jb + 1]; // do not process column jb if no data exists if (kb1 > kb0) { // last row mark processed var last = 0; // loop a rows for (var i = 0; i < arows; i++) { // column mark var mark = i + 1; // C[i, jb] var cij = void 0; // values in b column j for (var kb = kb0; kb < kb1; kb++) { // row var ib = bindex[kb]; // check value has been initialized if (last !== mark) { // first value in column jb cij = mf(adata[i][ib], bvalues[kb]); // update mark last = mark; } else { // accumulate value cij = af(cij, mf(adata[i][ib], bvalues[kb])); } } // check column has been processed and value != 0 if (last === mark && !eq(cij, zero)) { // push row & value cindex.push(i); cvalues.push(cij); } } } } // update ptr cptr[bcolumns] = cindex.length; // return sparse matrix return c; }
C = A * B @param {Matrix} a DenseMatrix (MxN) @param {Matrix} b SparseMatrix (NxC) @return {Matrix} SparseMatrix (MxC)
_multiplyDenseMatrixSparseMatrix
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _multiplySparseMatrixVector(a, b) { // a sparse var avalues = a._values; var aindex = a._index; var aptr = a._ptr; var adt = a._datatype; // validate a matrix if (!avalues) { throw new Error('Cannot multiply Pattern only Matrix times Dense Matrix'); } // b dense var bdata = b._data; var bdt = b._datatype; // rows & columns var arows = a._size[0]; var brows = b._size[0]; // result var cvalues = []; var cindex = []; var cptr = []; // datatype var dt; // addScalar signature to use var af = addScalar; // multiplyScalar signature to use var mf = multiplyScalar; // equalScalar signature to use var eq = equalScalar; // zero value var zero = 0; // process data types if (adt && bdt && adt === bdt && typeof adt === 'string') { // datatype dt = adt; // find signatures that matches (dt, dt) af = typed.find(addScalar, [dt, dt]); mf = typed.find(multiplyScalar, [dt, dt]); eq = typed.find(equalScalar, [dt, dt]); // convert 0 to the same datatype zero = typed.convert(0, dt); } // workspace var x = []; // vector with marks indicating a value x[i] exists in a given column var w = []; // update ptr cptr[0] = 0; // rows in b for (var ib = 0; ib < brows; ib++) { // b[ib] var vbi = bdata[ib]; // check b[ib] != 0, avoid loops if (!eq(vbi, zero)) { // A values & index in ib column for (var ka0 = aptr[ib], ka1 = aptr[ib + 1], ka = ka0; ka < ka1; ka++) { // a row var ia = aindex[ka]; // check value exists in current j if (!w[ia]) { // ia is new entry in j w[ia] = true; // add i to pattern of C cindex.push(ia); // x(ia) = A x[ia] = mf(vbi, avalues[ka]); } else { // i exists in C already x[ia] = af(x[ia], mf(vbi, avalues[ka])); } } } } // copy values from x to column jb of c for (var p1 = cindex.length, p = 0; p < p1; p++) { // row var ic = cindex[p]; // copy value cvalues[p] = x[ic]; } // update ptr cptr[1] = cindex.length; // return sparse matrix return new SparseMatrix({ values: cvalues, index: cindex, ptr: cptr, size: [arows, 1], datatype: dt }); }
C = A * B @param {Matrix} a SparseMatrix (MxN) @param {Matrix} b Dense Vector (N) @return {Matrix} SparseMatrix (M, 1)
_multiplySparseMatrixVector
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _multiplySparseMatrixDenseMatrix(a, b) { // a sparse var avalues = a._values; var aindex = a._index; var aptr = a._ptr; var adt = a._datatype; // validate a matrix if (!avalues) { throw new Error('Cannot multiply Pattern only Matrix times Dense Matrix'); } // b dense var bdata = b._data; var bdt = b._datatype; // rows & columns var arows = a._size[0]; var brows = b._size[0]; var bcolumns = b._size[1]; // datatype var dt; // addScalar signature to use var af = addScalar; // multiplyScalar signature to use var mf = multiplyScalar; // equalScalar signature to use var eq = equalScalar; // zero value var zero = 0; // process data types if (adt && bdt && adt === bdt && typeof adt === 'string') { // datatype dt = adt; // find signatures that matches (dt, dt) af = typed.find(addScalar, [dt, dt]); mf = typed.find(multiplyScalar, [dt, dt]); eq = typed.find(equalScalar, [dt, dt]); // convert 0 to the same datatype zero = typed.convert(0, dt); } // result var cvalues = []; var cindex = []; var cptr = []; // c matrix var c = new SparseMatrix({ values: cvalues, index: cindex, ptr: cptr, size: [arows, bcolumns], datatype: dt }); // workspace var x = []; // vector with marks indicating a value x[i] exists in a given column var w = []; // loop b columns for (var jb = 0; jb < bcolumns; jb++) { // update ptr cptr[jb] = cindex.length; // mark in workspace for current column var mark = jb + 1; // rows in jb for (var ib = 0; ib < brows; ib++) { // b[ib, jb] var vbij = bdata[ib][jb]; // check b[ib, jb] != 0, avoid loops if (!eq(vbij, zero)) { // A values & index in ib column for (var ka0 = aptr[ib], ka1 = aptr[ib + 1], ka = ka0; ka < ka1; ka++) { // a row var ia = aindex[ka]; // check value exists in current j if (w[ia] !== mark) { // ia is new entry in j w[ia] = mark; // add i to pattern of C cindex.push(ia); // x(ia) = A x[ia] = mf(vbij, avalues[ka]); } else { // i exists in C already x[ia] = af(x[ia], mf(vbij, avalues[ka])); } } } } // copy values from x to column jb of c for (var p0 = cptr[jb], p1 = cindex.length, p = p0; p < p1; p++) { // row var ic = cindex[p]; // copy value cvalues[p] = x[ic]; } } // update ptr cptr[bcolumns] = cindex.length; // return sparse matrix return c; }
C = A * B @param {Matrix} a SparseMatrix (MxN) @param {Matrix} b DenseMatrix (NxC) @return {Matrix} SparseMatrix (MxC)
_multiplySparseMatrixDenseMatrix
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _multiplySparseMatrixSparseMatrix(a, b) { // a sparse var avalues = a._values; var aindex = a._index; var aptr = a._ptr; var adt = a._datatype; // b sparse var bvalues = b._values; var bindex = b._index; var bptr = b._ptr; var bdt = b._datatype; // rows & columns var arows = a._size[0]; var bcolumns = b._size[1]; // flag indicating both matrices (a & b) contain data var values = avalues && bvalues; // datatype var dt; // addScalar signature to use var af = addScalar; // multiplyScalar signature to use var mf = multiplyScalar; // process data types if (adt && bdt && adt === bdt && typeof adt === 'string') { // datatype dt = adt; // find signatures that matches (dt, dt) af = typed.find(addScalar, [dt, dt]); mf = typed.find(multiplyScalar, [dt, dt]); } // result var cvalues = values ? [] : undefined; var cindex = []; var cptr = []; // c matrix var c = new SparseMatrix({ values: cvalues, index: cindex, ptr: cptr, size: [arows, bcolumns], datatype: dt }); // workspace var x = values ? [] : undefined; // vector with marks indicating a value x[i] exists in a given column var w = []; // variables var ka, ka0, ka1, kb, kb0, kb1, ia, ib; // loop b columns for (var jb = 0; jb < bcolumns; jb++) { // update ptr cptr[jb] = cindex.length; // mark in workspace for current column var mark = jb + 1; // B values & index in j for (kb0 = bptr[jb], kb1 = bptr[jb + 1], kb = kb0; kb < kb1; kb++) { // b row ib = bindex[kb]; // check we need to process values if (values) { // loop values in a[:,ib] for (ka0 = aptr[ib], ka1 = aptr[ib + 1], ka = ka0; ka < ka1; ka++) { // row ia = aindex[ka]; // check value exists in current j if (w[ia] !== mark) { // ia is new entry in j w[ia] = mark; // add i to pattern of C cindex.push(ia); // x(ia) = A x[ia] = mf(bvalues[kb], avalues[ka]); } else { // i exists in C already x[ia] = af(x[ia], mf(bvalues[kb], avalues[ka])); } } } else { // loop values in a[:,ib] for (ka0 = aptr[ib], ka1 = aptr[ib + 1], ka = ka0; ka < ka1; ka++) { // row ia = aindex[ka]; // check value exists in current j if (w[ia] !== mark) { // ia is new entry in j w[ia] = mark; // add i to pattern of C cindex.push(ia); } } } } // check we need to process matrix values (pattern matrix) if (values) { // copy values from x to column jb of c for (var p0 = cptr[jb], p1 = cindex.length, p = p0; p < p1; p++) { // row var ic = cindex[p]; // copy value cvalues[p] = x[ic]; } } } // update ptr cptr[bcolumns] = cindex.length; // return sparse matrix return c; }
C = A * B @param {Matrix} a SparseMatrix (MxN) @param {Matrix} b SparseMatrix (NxC) @return {Matrix} SparseMatrix (MxC)
_multiplySparseMatrixSparseMatrix
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function getSafeProperty(object, prop) { // only allow getting safe properties of a plain object if (isPlainObject(object) && isSafeProperty(object, prop)) { return object[prop]; } if (typeof object[prop] === 'function' && isSafeMethod(object, prop)) { throw new Error('Cannot access method "' + prop + '" as a property'); } throw new Error('No access to property "' + prop + '"'); }
Get a property of a plain object Throws an error in case the object is not a plain object or the property is not defined on the object itself @param {Object} object @param {string} prop @return {*} Returns the property value when safe
getSafeProperty
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function setSafeProperty(object, prop, value) { // only allow setting safe properties of a plain object if (isPlainObject(object) && isSafeProperty(object, prop)) { object[prop] = value; return value; } throw new Error('No access to property "' + prop + '"'); }
Set a property on a plain object. Throws an error in case the object is not a plain object or the property would override an inherited property like .constructor or .toString @param {Object} object @param {string} prop @param {*} value @return {*} Returns the value
setSafeProperty
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function isSafeProperty(object, prop) { if (!object || _typeof(object) !== 'object') { return false; } // SAFE: whitelisted // e.g length if (hasOwnProperty(safeNativeProperties, prop)) { return true; } // UNSAFE: inherited from Object prototype // e.g constructor if (prop in Object.prototype) { // 'in' is used instead of hasOwnProperty for nodejs v0.10 // which is inconsistent on root prototypes. It is safe // here because Object.prototype is a root object return false; } // UNSAFE: inherited from Function prototype // e.g call, apply if (prop in Function.prototype) { // 'in' is used instead of hasOwnProperty for nodejs v0.10 // which is inconsistent on root prototypes. It is safe // here because Function.prototype is a root object return false; } return true; }
Test whether a property is safe to use for an object. For example .toString and .constructor are not safe @param {string} prop @return {boolean} Returns true when safe
isSafeProperty
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function validateSafeMethod(object, method) { if (!isSafeMethod(object, method)) { throw new Error('No access to method "' + method + '"'); } }
Validate whether a method is safe. Throws an error when that's not the case. @param {Object} object @param {string} method
validateSafeMethod
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function isSafeMethod(object, method) { if (!object || typeof object[method] !== 'function') { return false; } // UNSAFE: ghosted // e.g overridden toString // Note that IE10 doesn't support __proto__ and we can't do this check there. if (hasOwnProperty(object, method) && Object.getPrototypeOf && method in Object.getPrototypeOf(object)) { return false; } // SAFE: whitelisted // e.g toString if (hasOwnProperty(safeNativeMethods, method)) { return true; } // UNSAFE: inherited from Object prototype // e.g constructor if (method in Object.prototype) { // 'in' is used instead of hasOwnProperty for nodejs v0.10 // which is inconsistent on root prototypes. It is safe // here because Object.prototype is a root object return false; } // UNSAFE: inherited from Function prototype // e.g call, apply if (method in Function.prototype) { // 'in' is used instead of hasOwnProperty for nodejs v0.10 // which is inconsistent on root prototypes. It is safe // here because Function.prototype is a root object return false; } return true; }
Check whether a method is safe. Throws an error when that's not the case (for example for `constructor`). @param {Object} object @param {string} method @return {boolean} Returns true when safe, false otherwise
isSafeMethod
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function isPlainObject(object) { return _typeof(object) === 'object' && object && object.constructor === Object; }
Check whether a method is safe. Throws an error when that's not the case (for example for `constructor`). @param {Object} object @param {string} method @return {boolean} Returns true when safe, false otherwise
isPlainObject
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function checkEqualDimensions(x, y) { var xsize = x.size(); var ysize = y.size(); if (xsize.length !== ysize.length) { throw new DimensionError(xsize.length, ysize.length); } }
Check whether matrix x and y have the same number of dimensions. Throws a DimensionError when dimensions are not equal @param {Matrix} x @param {Matrix} y
checkEqualDimensions
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _traverse(node, callback) { node.forEach(function (child, path, parent) { callback(child, path, parent); _traverse(child, callback); }); }
Recursively traverse all nodes in a node tree. Executes given callback for this node and each of its child nodes. @param {function(node: Node, path: string, parent: Node)} callback A callback called for every node in the node tree.
_traverse
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _transform(node, callback) { return node.map(function (child, path, parent) { var replacement = callback(child, path, parent); return _transform(replacement, callback); }); }
Recursively transform a node tree via a transform function. For example, to replace all nodes of type SymbolNode having name 'x' with a ConstantNode with value 2: const res = Node.transform(function (node, path, parent) { if (node && node.isSymbolNode) && (node.name === 'x')) { return new ConstantNode(2) } else { return node } }) @param {function(node: Node, path: string, parent: Node) : Node} callback A mapping function accepting a node, and returning a replacement for the node or the original node. Signature: callback(node: Node, index: string, parent: Node) : Node @return {Node} Returns the original node or its replacement
_transform
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _validateScope(scope) { for (var symbol in scope) { if (hasOwnProperty(scope, symbol)) { if (symbol in keywords) { throw new Error('Scope contains an illegal symbol, "' + symbol + '" is a reserved keyword'); } } } }
Validate the symbol names of a scope. Throws an error when the scope contains an illegal symbol. @param {Object} scope
_validateScope
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _getSubstring(str, index) { if (!type.isIndex(index)) { // TODO: better error message throw new TypeError('Index expected'); } if (index.size().length !== 1) { throw new DimensionError(index.size().length, 1); } // validate whether the range is out of range var strLen = str.length; validateIndex(index.min()[0], strLen); validateIndex(index.max()[0], strLen); var range = index.dimension(0); var substr = ''; range.forEach(function (v) { substr += str.charAt(v); }); return substr; }
Retrieve a subset of a string @param {string} str string from which to get a substring @param {Index} index An index containing ranges for each dimension @returns {string} substring @private
_getSubstring
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _setSubstring(str, index, replacement, defaultValue) { if (!index || index.isIndex !== true) { // TODO: better error message throw new TypeError('Index expected'); } if (index.size().length !== 1) { throw new DimensionError(index.size().length, 1); } if (defaultValue !== undefined) { if (typeof defaultValue !== 'string' || defaultValue.length !== 1) { throw new TypeError('Single character expected as defaultValue'); } } else { defaultValue = ' '; } var range = index.dimension(0); var len = range.size()[0]; if (len !== replacement.length) { throw new DimensionError(range.size()[0], replacement.length); } // validate whether the range is out of range var strLen = str.length; validateIndex(index.min()[0]); validateIndex(index.max()[0]); // copy the string into an array with characters var chars = []; for (var i = 0; i < strLen; i++) { chars[i] = str.charAt(i); } range.forEach(function (v, i) { chars[v] = replacement.charAt(i[0]); }); // initialize undefined characters with a space if (chars.length > strLen) { for (var _i = strLen - 1, _len = chars.length; _i < _len; _i++) { if (!chars[_i]) { chars[_i] = defaultValue; } } } return chars.join(''); }
Replace a substring in a string @param {string} str string to be replaced @param {Index} index An index containing ranges for each dimension @param {string} replacement Replacement string @param {string} [defaultValue] Default value to be uses when resizing the string. is ' ' by default @returns {string} result @private
_setSubstring
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _getObjectProperty(object, index) { if (index.size().length !== 1) { throw new DimensionError(index.size(), 1); } var key = index.dimension(0); if (typeof key !== 'string') { throw new TypeError('String expected as index to retrieve an object property'); } return getSafeProperty(object, key); }
Retrieve a property from an object @param {Object} object @param {Index} index @return {*} Returns the value of the property @private
_getObjectProperty
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _setObjectProperty(object, index, replacement) { if (index.size().length !== 1) { throw new DimensionError(index.size(), 1); } var key = index.dimension(0); if (typeof key !== 'string') { throw new TypeError('String expected as index to retrieve an object property'); } // clone the object, and apply the property to the clone var updated = clone(object); setSafeProperty(updated, key, replacement); return updated; }
Set a property on an object @param {Object} object @param {Index} index @param {*} replacement @return {*} Returns the updated object @private
_setObjectProperty
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function Index(ranges) { if (!(this instanceof Index)) { throw new SyntaxError('Constructor must be called with the new operator'); } this._dimensions = []; this._isScalar = true; for (var i = 0, ii = arguments.length; i < ii; i++) { var arg = arguments[i]; if (type.isRange(arg)) { this._dimensions.push(arg); this._isScalar = false; } else if (Array.isArray(arg) || type.isMatrix(arg)) { // create matrix var m = _createImmutableMatrix(arg.valueOf()); this._dimensions.push(m); // size var size = m.size(); // scalar if (size.length !== 1 || size[0] !== 1) { this._isScalar = false; } } else if (typeof arg === 'number') { this._dimensions.push(_createImmutableMatrix([arg])); } else if (typeof arg === 'string') { // object property (arguments.count should be 1) this._dimensions.push(arg); } else { throw new TypeError('Dimension must be an Array, Matrix, number, string, or Range'); } // TODO: implement support for wildcard '*' } }
Create an index. An Index can store ranges and sets for multiple dimensions. Matrix.get, Matrix.set, and math.subset accept an Index as input. Usage: const index = new Index(range1, range2, matrix1, array1, ...) Where each parameter can be any of: A number A string (containing a name of an object property) An instance of Range An Array with the Set values A Matrix with the Set values The parameters start, end, and step must be integer numbers. @class Index @Constructor Index @param {...*} ranges
Index
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
algorithm07 = function algorithm07(a, b, callback) { // sparse matrix arrays var asize = a._size; var adt = a._datatype; // sparse matrix arrays var bsize = b._size; var bdt = b._datatype; // validate dimensions if (asize.length !== bsize.length) { throw new DimensionError(asize.length, bsize.length); } // check rows & columns if (asize[0] !== bsize[0] || asize[1] !== bsize[1]) { throw new RangeError('Dimension mismatch. Matrix A (' + asize + ') must match Matrix B (' + bsize + ')'); } // rows & columns var rows = asize[0]; var columns = asize[1]; // datatype var dt; // zero value var zero = 0; // callback signature to use var cf = callback; // process data types if (typeof adt === 'string' && adt === bdt) { // datatype dt = adt; // convert 0 to the same datatype zero = typed.convert(0, dt); // callback cf = typed.find(callback, [dt, dt]); } // vars var i, j; // result arrays var cdata = []; // initialize c for (i = 0; i < rows; i++) { cdata[i] = []; } // matrix var c = new DenseMatrix({ data: cdata, size: [rows, columns], datatype: dt }); // workspaces var xa = []; var xb = []; // marks indicating we have a value in x for a given column var wa = []; var wb = []; // loop columns for (j = 0; j < columns; j++) { // columns mark var mark = j + 1; // scatter the values of A(:,j) into workspace _scatter(a, j, wa, xa, mark); // scatter the values of B(:,j) into workspace _scatter(b, j, wb, xb, mark); // loop rows for (i = 0; i < rows; i++) { // matrix values @ i,j var va = wa[i] === mark ? xa[i] : zero; var vb = wb[i] === mark ? xb[i] : zero; // invoke callback cdata[i][j] = cf(va, vb); } } // return sparse matrix return c; }
Iterates over SparseMatrix A and SparseMatrix B items (zero and nonzero) and invokes the callback function f(Aij, Bij). Callback function invoked MxN times. C(i,j) = f(Aij, Bij) @param {Matrix} a The SparseMatrix instance (A) @param {Matrix} b The SparseMatrix instance (B) @param {Function} callback The f(Aij,Bij) operation to invoke @return {Matrix} DenseMatrix (C) see https://github.com/josdejong/mathjs/pull/346#issuecomment-97620294
algorithm07
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _scatter(m, j, w, x, mark) { // a arrays var values = m._values; var index = m._index; var ptr = m._ptr; // loop values in column j for (var k = ptr[j], k1 = ptr[j + 1]; k < k1; k++) { // row var i = index[k]; // update workspace w[i] = mark; x[i] = values[k]; } }
Iterates over SparseMatrix A and SparseMatrix B items (zero and nonzero) and invokes the callback function f(Aij, Bij). Callback function invoked MxN times. C(i,j) = f(Aij, Bij) @param {Matrix} a The SparseMatrix instance (A) @param {Matrix} b The SparseMatrix instance (B) @param {Function} callback The f(Aij,Bij) operation to invoke @return {Matrix} DenseMatrix (C) see https://github.com/josdejong/mathjs/pull/346#issuecomment-97620294
_scatter
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function compareMatricesAndArrays(x, y) { if (type.isSparseMatrix(x) && type.isSparseMatrix(y)) { return compareArrays(x.toJSON().values, y.toJSON().values); } if (type.isSparseMatrix(x)) { // note: convert to array is expensive return compareMatricesAndArrays(x.toArray(), y); } if (type.isSparseMatrix(y)) { // note: convert to array is expensive return compareMatricesAndArrays(x, y.toArray()); } // convert DenseArray into Array if (type.isDenseMatrix(x)) { return compareMatricesAndArrays(x.toJSON().data, y); } if (type.isDenseMatrix(y)) { return compareMatricesAndArrays(x, y.toJSON().data); } // convert scalars to array if (!Array.isArray(x)) { return compareMatricesAndArrays([x], y); } if (!Array.isArray(y)) { return compareMatricesAndArrays(x, [y]); } return compareArrays(x, y); }
Compare mixed matrix/array types, by converting to same-shaped array. This comparator is non-deterministic regarding input types. @param {Array | SparseMatrix | DenseMatrix | *} x @param {Array | SparseMatrix | DenseMatrix | *} y @returns {number} Returns the comparison result: -1, 0, or 1
compareMatricesAndArrays
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function compareArrays(x, y) { // compare each value for (var i = 0, ii = Math.min(x.length, y.length); i < ii; i++) { var v = compareNatural(x[i], y[i]); if (v !== 0) { return v; } } // compare the size of the arrays if (x.length > y.length) { return 1; } if (x.length < y.length) { return -1; } // both Arrays have equal size and content return 0; }
Compare two Arrays - First, compares value by value - Next, if all corresponding values are equal, look at the length: longest array will be considered largest @param {Array} x @param {Array} y @returns {number} Returns the comparison result: -1, 0, or 1
compareArrays
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function compareObjects(x, y) { var keysX = Object.keys(x); var keysY = Object.keys(y); // compare keys keysX.sort(naturalSort); keysY.sort(naturalSort); var c = compareArrays(keysX, keysY); if (c !== 0) { return c; } // compare values for (var i = 0; i < keysX.length; i++) { var v = compareNatural(x[keysX[i]], y[keysY[i]]); if (v !== 0) { return v; } } return 0; }
Compare two objects - First, compare sorted property names - Next, compare the property values @param {Object} x @param {Object} y @returns {number} Returns the comparison result: -1, 0, or 1
compareObjects
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function compareComplexNumbers(x, y) { if (x.re > y.re) { return 1; } if (x.re < y.re) { return -1; } if (x.im > y.im) { return 1; } if (x.im < y.im) { return -1; } return 0; }
Compare two complex numbers, `x` and `y`: - First, compare the real values of `x` and `y` - If equal, compare the imaginary values of `x` and `y` @params {Complex} x @params {Complex} y @returns {number} Returns the comparison result: -1, 0, or 1
compareComplexNumbers
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _pow(x, y) { // Alternatively could define a 'realmode' config option or something, but // 'predictable' will work for now if (config.predictable && !isInteger(y) && x < 0) { // Check to see if y can be represented as a fraction try { var yFrac = fraction(y); var yNum = number(yFrac); if (y === yNum || Math.abs((y - yNum) / y) < 1e-14) { if (yFrac.d % 2 === 1) { return (yFrac.n % 2 === 0 ? 1 : -1) * Math.pow(-x, y); } } } catch (ex) {} // fraction() throws an error if y is Infinity, etc. // Unable to express y as a fraction, so continue on } // x^Infinity === 0 if -1 < x < 1 // A real number 0 is returned instead of complex(0) if (x * x < 1 && y === Infinity || x * x > 1 && y === -Infinity) { return 0; } // **for predictable mode** x^Infinity === NaN if x < -1 // N.B. this behavour is different from `Math.pow` which gives // (-2)^Infinity === Infinity if (config.predictable && (x < -1 && y === Infinity || x > -1 && x < 0 && y === -Infinity)) { return NaN; } if (isInteger(y) || x >= 0 || config.predictable) { return Math.pow(x, y); } else { return new type.Complex(x, 0).pow(y, 0); } }
Calculates the power of x to y, x^y, for two numbers. @param {number} x @param {number} y @return {number | Complex} res @private
_pow
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _powArray(x, y) { if (!isInteger(y) || y < 0) { throw new TypeError('For A^b, b must be a positive integer (value is ' + y + ')'); } // verify that A is a 2 dimensional square matrix var s = size(x); if (s.length !== 2) { throw new Error('For A^b, A must be 2 dimensional (A has ' + s.length + ' dimensions)'); } if (s[0] !== s[1]) { throw new Error('For A^b, A must be square (size is ' + s[0] + 'x' + s[1] + ')'); } var res = identity(s[0]).valueOf(); var px = x; while (y >= 1) { if ((y & 1) === 1) { res = multiply(px, res); } y >>= 1; px = multiply(px, px); } return res; }
Calculate the power of a 2d array @param {Array} x must be a 2 dimensional, square matrix @param {number} y a positive, integer value @returns {Array} @private
_powArray
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _powMatrix(x, y) { return matrix(_powArray(x.valueOf(), y)); }
Calculate the power of a 2d matrix @param {Matrix} x must be a 2 dimensional, square matrix @param {number} y a positive, integer value @returns {Matrix} @private
_powMatrix
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _zeros(size, format) { var hasBigNumbers = _normalize(size); var defaultValue = hasBigNumbers ? new type.BigNumber(0) : 0; _validate(size); if (format) { // return a matrix var m = matrix(format); if (size.length > 0) { return m.resize(size, defaultValue); } return m; } else { // return an Array var arr = []; if (size.length > 0) { return resize(arr, size, defaultValue); } return arr; } } // replace BigNumbers with numbers, returns true if size contained BigNumbers
Create an Array or Matrix with zeros @param {Array} size @param {string} [format='default'] @return {Array | Matrix} @private
_zeros
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _normalize(size) { var hasBigNumbers = false; size.forEach(function (value, index, arr) { if (type.isBigNumber(value)) { hasBigNumbers = true; arr[index] = value.toNumber(); } }); return hasBigNumbers; } // validate arguments
Create an Array or Matrix with zeros @param {Array} size @param {string} [format='default'] @return {Array | Matrix} @private
_normalize
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function _validate(size) { size.forEach(function (value) { if (typeof value !== 'number' || !isInteger(value) || value < 0) { throw new Error('Parameters in function zeros must be positive integers'); } }); }
Create an Array or Matrix with zeros @param {Array} size @param {string} [format='default'] @return {Array | Matrix} @private
_validate
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function parse(expr, options) { if (arguments.length !== 1 && arguments.length !== 2) { throw new ArgumentsError('parse', arguments.length, 1, 2); } // pass extra nodes var extraNodes = options && options.nodes ? options.nodes : {}; if (typeof expr === 'string') { // parse a single expression return parseStart(expr, extraNodes); } else if (Array.isArray(expr) || expr instanceof type.Matrix) { // parse an array or matrix with expressions return deepMap(expr, function (elem) { if (typeof elem !== 'string') throw new TypeError('String expected'); return parseStart(elem, extraNodes); }); } else { // oops throw new TypeError('String or matrix expected'); } } // token types enumeration
Parse an expression. Returns a node tree, which can be evaluated by invoking node.eval(). Syntax: parse(expr) parse(expr, options) parse([expr1, expr2, expr3, ...]) parse([expr1, expr2, expr3, ...], options) Example: const node = parse('sqrt(3^2 + 4^2)') node.compile(math).eval() // 5 let scope = {a:3, b:4} const node = parse('a * b') // 12 const code = node.compile(math) code.eval(scope) // 12 scope.a = 5 code.eval(scope) // 20 const nodes = math.parse(['a = 3', 'b = 4', 'a * b']) nodes[2].compile(math).eval() // 12 @param {string | string[] | Matrix} expr @param {{nodes: Object<string, Node>}} [options] Available options: - `nodes` a set of custom nodes @return {Node | Node[]} node @throws {Error}
parse
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function initialState() { return { extraNodes: {}, // current extra nodes, must be careful not to mutate expression: '', // current expression comment: '', // last parsed comment index: 0, // current index in expr token: '', // current token tokenType: TOKENTYPE.NULL, // type of the token nestingLevel: 0, // level of nesting inside parameters, used to ignore newline characters conditionalLevel: null // when a conditional is being parsed, the level of the conditional is stored here }; }
Parse an expression. Returns a node tree, which can be evaluated by invoking node.eval(). Syntax: parse(expr) parse(expr, options) parse([expr1, expr2, expr3, ...]) parse([expr1, expr2, expr3, ...], options) Example: const node = parse('sqrt(3^2 + 4^2)') node.compile(math).eval() // 5 let scope = {a:3, b:4} const node = parse('a * b') // 12 const code = node.compile(math) code.eval(scope) // 12 scope.a = 5 code.eval(scope) // 20 const nodes = math.parse(['a = 3', 'b = 4', 'a * b']) nodes[2].compile(math).eval() // 12 @param {string | string[] | Matrix} expr @param {{nodes: Object<string, Node>}} [options] Available options: - `nodes` a set of custom nodes @return {Node | Node[]} node @throws {Error}
initialState
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function currentString(state, length) { return state.expression.substr(state.index, length); }
View upto `length` characters of the expression starting at the current character. @param {State} state @param {number} [length=1] Number of characters to view @returns {string} @private
currentString
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function currentCharacter(state) { return currentString(state, 1); }
View the current character. Returns '' if end of expression is reached. @param {State} state @returns {string} @private
currentCharacter
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function prevCharacter(state) { return state.expression.charAt(state.index - 1); }
Preview the previous character from the expression. @return {string} cNext @private
prevCharacter
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function nextCharacter(state) { return state.expression.charAt(state.index + 1); }
Preview the next character from the expression. @return {string} cNext @private
nextCharacter
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function getToken(state) { state.tokenType = TOKENTYPE.NULL; state.token = ''; state.comment = ''; // skip over whitespaces // space, tab, and newline when inside parameters while (parse.isWhitespace(currentCharacter(state), state.nestingLevel)) { next(state); } // skip comment if (currentCharacter(state) === '#') { while (currentCharacter(state) !== '\n' && currentCharacter(state) !== '') { state.comment += currentCharacter(state); next(state); } } // check for end of expression if (currentCharacter(state) === '') { // token is still empty state.tokenType = TOKENTYPE.DELIMITER; return; } // check for new line character if (currentCharacter(state) === '\n' && !state.nestingLevel) { state.tokenType = TOKENTYPE.DELIMITER; state.token = currentCharacter(state); next(state); return; } var c1 = currentCharacter(state); var c2 = currentString(state, 2); var c3 = currentString(state, 3); if (c3.length === 3 && DELIMITERS[c3]) { state.tokenType = TOKENTYPE.DELIMITER; state.token = c3; next(state); next(state); next(state); return; } // check for delimiters consisting of 2 characters if (c2.length === 2 && DELIMITERS[c2]) { state.tokenType = TOKENTYPE.DELIMITER; state.token = c2; next(state); next(state); return; } // check for delimiters consisting of 1 character if (DELIMITERS[c1]) { state.tokenType = TOKENTYPE.DELIMITER; state.token = c1; next(state); return; } // check for a number if (parse.isDigitDot(c1)) { state.tokenType = TOKENTYPE.NUMBER; // get number, can have a single dot if (currentCharacter(state) === '.') { state.token += currentCharacter(state); next(state); if (!parse.isDigit(currentCharacter(state))) { // this is no number, it is just a dot (can be dot notation) state.tokenType = TOKENTYPE.DELIMITER; } } else { while (parse.isDigit(currentCharacter(state))) { state.token += currentCharacter(state); next(state); } if (parse.isDecimalMark(currentCharacter(state), nextCharacter(state))) { state.token += currentCharacter(state); next(state); } } while (parse.isDigit(currentCharacter(state))) { state.token += currentCharacter(state); next(state); } // check for exponential notation like "2.3e-4", "1.23e50" or "2e+4" if (currentCharacter(state) === 'E' || currentCharacter(state) === 'e') { if (parse.isDigit(nextCharacter(state)) || nextCharacter(state) === '-' || nextCharacter(state) === '+') { state.token += currentCharacter(state); next(state); if (currentCharacter(state) === '+' || currentCharacter(state) === '-') { state.token += currentCharacter(state); next(state); } // Scientific notation MUST be followed by an exponent if (!parse.isDigit(currentCharacter(state))) { throw createSyntaxError(state, 'Digit expected, got "' + currentCharacter(state) + '"'); } while (parse.isDigit(currentCharacter(state))) { state.token += currentCharacter(state); next(state); } if (parse.isDecimalMark(currentCharacter(state), nextCharacter(state))) { throw createSyntaxError(state, 'Digit expected, got "' + currentCharacter(state) + '"'); } } else if (nextCharacter(state) === '.') { next(state); throw createSyntaxError(state, 'Digit expected, got "' + currentCharacter(state) + '"'); } } return; } // check for variables, functions, named operators if (parse.isAlpha(currentCharacter(state), prevCharacter(state), nextCharacter(state))) { while (parse.isAlpha(currentCharacter(state), prevCharacter(state), nextCharacter(state)) || parse.isDigit(currentCharacter(state))) { state.token += currentCharacter(state); next(state); } if (NAMED_DELIMITERS.hasOwnProperty(state.token)) { state.tokenType = TOKENTYPE.DELIMITER; } else { state.tokenType = TOKENTYPE.SYMBOL; } return; } // something unknown is found, wrong characters -> a syntax error state.tokenType = TOKENTYPE.UNKNOWN; while (currentCharacter(state) !== '') { state.token += currentCharacter(state); next(state); } throw createSyntaxError(state, 'Syntax error in part "' + state.token + '"'); }
Get next token in the current string expr. The token and token type are available as token and tokenType @private
getToken
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function getTokenSkipNewline(state) { do { getToken(state); } while (state.token === '\n'); // eslint-disable-line no-unmodified-loop-condition }
Get next token and skip newline tokens
getTokenSkipNewline
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function parseStart(expression, extraNodes) { var state = initialState(); _extends(state, { expression: expression, extraNodes: extraNodes }); getToken(state); var node = parseBlock(state); // check for garbage at the end of the expression // an expression ends with a empty character '' and tokenType DELIMITER if (state.token !== '') { if (state.tokenType === TOKENTYPE.DELIMITER) { // user entered a not existing operator like "//" // TODO: give hints for aliases, for example with "<>" give as hint " did you mean !== ?" throw createError(state, 'Unexpected operator ' + state.token); } else { throw createSyntaxError(state, 'Unexpected part "' + state.token + '"'); } } return node; }
Start of the parse levels below, in order of precedence @return {Node} node @private
parseStart
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function parseBlock(state) { var node; var blocks = []; var visible; if (state.token !== '' && state.token !== '\n' && state.token !== ';') { node = parseAssignment(state); node.comment = state.comment; } // TODO: simplify this loop while (state.token === '\n' || state.token === ';') { // eslint-disable-line no-unmodified-loop-condition if (blocks.length === 0 && node) { visible = state.token !== ';'; blocks.push({ node: node, visible: visible }); } getToken(state); if (state.token !== '\n' && state.token !== ';' && state.token !== '') { node = parseAssignment(state); node.comment = state.comment; visible = state.token !== ';'; blocks.push({ node: node, visible: visible }); } } if (blocks.length > 0) { return new BlockNode(blocks); } else { if (!node) { node = new ConstantNode(undefined); node.comment = state.comment; } return node; } }
Parse a block with expressions. Expressions can be separated by a newline character '\n', or by a semicolon ';'. In case of a semicolon, no output of the preceding line is returned. @return {Node} node @private
parseBlock
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function parseAssignment(state) { var name, args, value, valid; var node = parseConditional(state); if (state.token === '=') { if (type.isSymbolNode(node)) { // parse a variable assignment like 'a = 2/3' name = node.name; getTokenSkipNewline(state); value = parseAssignment(state); return new AssignmentNode(new SymbolNode(name), value); } else if (type.isAccessorNode(node)) { // parse a matrix subset assignment like 'A[1,2] = 4' getTokenSkipNewline(state); value = parseAssignment(state); return new AssignmentNode(node.object, node.index, value); } else if (type.isFunctionNode(node) && type.isSymbolNode(node.fn)) { // parse function assignment like 'f(x) = x^2' valid = true; args = []; name = node.name; node.args.forEach(function (arg, index) { if (type.isSymbolNode(arg)) { args[index] = arg.name; } else { valid = false; } }); if (valid) { getTokenSkipNewline(state); value = parseAssignment(state); return new FunctionAssignmentNode(name, args, value); } } throw createSyntaxError(state, 'Invalid left hand side of assignment operator ='); } return node; }
Assignment of a function or variable, - can be a variable like 'a=2.3' - or a updating an existing variable like 'matrix(2,3:5)=[6,7,8]' - defining a function like 'f(x) = x^2' @return {Node} node @private
parseAssignment
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function parseConditional(state) { var node = parseLogicalOr(state); while (state.token === '?') { // eslint-disable-line no-unmodified-loop-condition // set a conditional level, the range operator will be ignored as long // as conditionalLevel === state.nestingLevel. var prev = state.conditionalLevel; state.conditionalLevel = state.nestingLevel; getTokenSkipNewline(state); var condition = node; var trueExpr = parseAssignment(state); if (state.token !== ':') throw createSyntaxError(state, 'False part of conditional expression expected'); state.conditionalLevel = null; getTokenSkipNewline(state); var falseExpr = parseAssignment(state); // Note: check for conditional operator again, right associativity node = new ConditionalNode(condition, trueExpr, falseExpr); // restore the previous conditional level state.conditionalLevel = prev; } return node; }
conditional operation condition ? truePart : falsePart Note: conditional operator is right-associative @return {Node} node @private
parseConditional
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function parseLogicalOr(state) { var node = parseLogicalXor(state); while (state.token === 'or') { // eslint-disable-line no-unmodified-loop-condition getTokenSkipNewline(state); node = new OperatorNode('or', 'or', [node, parseLogicalXor(state)]); } return node; }
logical or, 'x or y' @return {Node} node @private
parseLogicalOr
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function parseLogicalXor(state) { var node = parseLogicalAnd(state); while (state.token === 'xor') { // eslint-disable-line no-unmodified-loop-condition getTokenSkipNewline(state); node = new OperatorNode('xor', 'xor', [node, parseLogicalAnd(state)]); } return node; }
logical exclusive or, 'x xor y' @return {Node} node @private
parseLogicalXor
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function parseLogicalAnd(state) { var node = parseBitwiseOr(state); while (state.token === 'and') { // eslint-disable-line no-unmodified-loop-condition getTokenSkipNewline(state); node = new OperatorNode('and', 'and', [node, parseBitwiseOr(state)]); } return node; }
logical and, 'x and y' @return {Node} node @private
parseLogicalAnd
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function parseBitwiseOr(state) { var node = parseBitwiseXor(state); while (state.token === '|') { // eslint-disable-line no-unmodified-loop-condition getTokenSkipNewline(state); node = new OperatorNode('|', 'bitOr', [node, parseBitwiseXor(state)]); } return node; }
bitwise or, 'x | y' @return {Node} node @private
parseBitwiseOr
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function parseBitwiseXor(state) { var node = parseBitwiseAnd(state); while (state.token === '^|') { // eslint-disable-line no-unmodified-loop-condition getTokenSkipNewline(state); node = new OperatorNode('^|', 'bitXor', [node, parseBitwiseAnd(state)]); } return node; }
bitwise exclusive or (xor), 'x ^| y' @return {Node} node @private
parseBitwiseXor
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function parseBitwiseAnd(state) { var node = parseRelational(state); while (state.token === '&') { // eslint-disable-line no-unmodified-loop-condition getTokenSkipNewline(state); node = new OperatorNode('&', 'bitAnd', [node, parseRelational(state)]); } return node; }
bitwise and, 'x & y' @return {Node} node @private
parseBitwiseAnd
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function parseRelational(state) { var params = [parseShift(state)]; var conditionals = []; var operators = { '==': 'equal', '!=': 'unequal', '<': 'smaller', '>': 'larger', '<=': 'smallerEq', '>=': 'largerEq' }; while (operators.hasOwnProperty(state.token)) { // eslint-disable-line no-unmodified-loop-condition var cond = { name: state.token, fn: operators[state.token] }; conditionals.push(cond); getTokenSkipNewline(state); params.push(parseShift(state)); } if (params.length === 1) { return params[0]; } else if (params.length === 2) { return new OperatorNode(conditionals[0].name, conditionals[0].fn, params); } else { return new RelationalNode(conditionals.map(function (c) { return c.fn; }), params); } }
Parse a chained conditional, like 'a > b >= c' @return {Node} node
parseRelational
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function parseShift(state) { var node, operators, name, fn, params; node = parseConversion(state); operators = { '<<': 'leftShift', '>>': 'rightArithShift', '>>>': 'rightLogShift' }; while (operators.hasOwnProperty(state.token)) { name = state.token; fn = operators[name]; getTokenSkipNewline(state); params = [node, parseConversion(state)]; node = new OperatorNode(name, fn, params); } return node; }
Bitwise left shift, bitwise right arithmetic shift, bitwise right logical shift @return {Node} node @private
parseShift
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function parseConversion(state) { var node, operators, name, fn, params; node = parseRange(state); operators = { 'to': 'to', 'in': 'to' // alias of 'to' }; while (operators.hasOwnProperty(state.token)) { name = state.token; fn = operators[name]; getTokenSkipNewline(state); if (name === 'in' && state.token === '') { // end of expression -> this is the unit 'in' ('inch') node = new OperatorNode('*', 'multiply', [node, new SymbolNode('in')], true); } else { // operator 'a to b' or 'a in b' params = [node, parseRange(state)]; node = new OperatorNode(name, fn, params); } } return node; }
conversion operators 'to' and 'in' @return {Node} node @private
parseConversion
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function parseRange(state) { var node; var params = []; if (state.token === ':') { // implicit start=1 (one-based) node = new ConstantNode(1); } else { // explicit start node = parseAddSubtract(state); } if (state.token === ':' && state.conditionalLevel !== state.nestingLevel) { // we ignore the range operator when a conditional operator is being processed on the same level params.push(node); // parse step and end while (state.token === ':' && params.length < 3) { // eslint-disable-line no-unmodified-loop-condition getTokenSkipNewline(state); if (state.token === ')' || state.token === ']' || state.token === ',' || state.token === '') { // implicit end params.push(new SymbolNode('end')); } else { // explicit end params.push(parseAddSubtract(state)); } } if (params.length === 3) { // params = [start, step, end] node = new RangeNode(params[0], params[2], params[1]); // start, end, step } else { // length === 2 // params = [start, end] node = new RangeNode(params[0], params[1]); // start, end } } return node; }
parse range, "start:end", "start:step:end", ":", "start:", ":end", etc @return {Node} node @private
parseRange
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function parseAddSubtract(state) { var node, operators, name, fn, params; node = parseMultiplyDivide(state); operators = { '+': 'add', '-': 'subtract' }; while (operators.hasOwnProperty(state.token)) { name = state.token; fn = operators[name]; getTokenSkipNewline(state); params = [node, parseMultiplyDivide(state)]; node = new OperatorNode(name, fn, params); } return node; }
add or subtract @return {Node} node @private
parseAddSubtract
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT
function parseMultiplyDivide(state) { var node, last, operators, name, fn; node = parseImplicitMultiplication(state); last = node; operators = { '*': 'multiply', '.*': 'dotMultiply', '/': 'divide', './': 'dotDivide', '%': 'mod', 'mod': 'mod' }; while (true) { if (operators.hasOwnProperty(state.token)) { // explicit operators name = state.token; fn = operators[name]; getTokenSkipNewline(state); last = parseImplicitMultiplication(state); node = new OperatorNode(name, fn, [node, last]); } else { break; } } return node; }
multiply, divide, modulus @return {Node} node @private
parseMultiplyDivide
javascript
grimalschi/calque
math.js
https://github.com/grimalschi/calque/blob/master/math.js
MIT