math.js

/**
 * math.js
 * https://github.com/josdejong/mathjs
 *
 * Math.js is an extensive math library for JavaScript and Node.js,
 * It features real and complex numbers, units, matrices, a large set of
 * mathematical functions, and a flexible expression parser.
 *
 * @version 0.16.0
 * @date    2013-11-28
 *
 * @license
 * Copyright (C) 2013 Jos de Jong <wjosdejong@gmail.com>
 *
 * Licensed under the Apache License, Version 2.0 (the "License"); you may not
 * use this file except in compliance with the License. You may obtain a copy
 * of the License at
 *
 * http://www.apache.org/licenses/LICENSE-2.0
 *
 * Unless required by applicable law or agreed to in writing, software
 * distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
 * WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the
 * License for the specific language governing permissions and limitations under
 * the License.
 */
!function(e){"object"==typeof exports?module.exports=e():"function"==typeof define&&define.amd?define(e):"undefined"!=typeof window?window.mathjs=e():"undefined"!=typeof global?global.mathjs=e():"undefined"!=typeof self&&(self.mathjs=e())}(function(){var e;return function n(e,t,r){function i(a,s){if(!t[a]){if(!e[a]){var u="function"==typeof require&&require;if(!s&&u)return u(a,!0);if(o)return o(a,!0);throw new Error("Cannot find module '"+a+"'")}var c=t[a]={exports:{}};e[a][0].call(c.exports,function(n){var t=e[a][1][n];return i(t?t:n)},c,c.exports,n,e,t,r)}return t[a].exports}for(var o="function"==typeof require&&require,a=0;a<r.length;a++)i(r[a]);return i}({1:[function(e,n){n.exports=e("./lib/math.js")},{"./lib/math.js":201}],2:[function(e,n){n.exports=function(n){function t(e){if(!(this instanceof t))throw new SyntaxError("Selector constructor must be called with the new operator");this.value=e instanceof t?e.value:e}function r(e,n){var r=Array.prototype.slice;t.prototype[e]="function"==typeof n?function(){var e=[this.value].concat(r.call(arguments,0));return new t(n.apply(this,e))}:new t(n)}var i=e("../util/string");t.prototype.done=function(){return this.value},t.prototype.get=function(){throw new Error("Selector.get is removed. Use Selector.subset(index) instead.")},t.prototype.set=function(){throw new Error("Selector.set is removed. Use Selector.subset(index, replacement) instead.")},t.prototype.valueOf=function(){return this.value},t.prototype.toString=function(){return i.format(this.value)},t.createProxy=r;for(var o in n)n.hasOwnProperty(o)&&o&&r(o,n[o]);return t}},{"../util/string":215}],3:[function(e,n){n.exports=function(n){var t=e("./type/Complex");n.pi=Math.PI,n.e=Math.E,n.tau=2*Math.PI,n.i=new t(0,1),n.Infinity=1/0,n.NaN=0/0,n["true"]=!0,n["false"]=!1,n.E=Math.E,n.LN2=Math.LN2,n.LN10=Math.LN10,n.LOG2E=Math.LOG2E,n.LOG10E=Math.LOG10E,n.PI=Math.PI,n.SQRT1_2=Math.SQRT1_2,n.SQRT2=Math.SQRT2}},{"./type/Complex":202}],4:[function(e,n){function t(e){if(!(this instanceof t))throw new SyntaxError("Parser constructor must be called with the new operator");this.math=e,this.scope=new r(e)}var r=e("./Scope");t.prototype.parse=function(e){return this.math.parse(e,this.scope)},t.prototype.eval=function(e){var n=this.math.parse(e,this.scope);return n.eval()},t.prototype.get=function(e){return this.scope.get(e)},t.prototype.set=function(e,n){return this.scope.set(e,n)},t.prototype.remove=function(e){this.scope.remove(e)},t.prototype.clear=function(){this.scope.clear()},n.exports=t},{"./Scope":5}],5:[function(e,n){function t(e,n,r){this.math=e,this.parentScope=null,this.subScopes=null,this.symbols={},this.cache={},n&&(n instanceof t?this.parentScope=n:n instanceof Object&&(this.symbols=n)),r&&r instanceof Object&&(this.symbols=r)}var r=e("../type/Unit");t.prototype={createSubScope:function(){var e=new t(this.math,this);return this.subScopes||(this.subScopes=[]),this.subScopes.push(e),e},get:function(e){var n;if(n=this.symbols[e],void 0!==n)return n;var t=this.cache[e];if(t)return t[e];for(var i=this.parentScope;i;){if(n=i.symbols[e],void 0!==n)return this.cache[e]=i.symbols,n;i=i.parentScope}return n=this.math[e],void 0!==n?(this.cache[e]=this.math,n):r.isPlainUnit(e)?(n=new r(null,e),this.cache[e]={},this.cache[e][e]=n,n):void 0},has:function(e){return void 0!==this.symbols[e]},set:function(e,n){return this.symbols[e]=n},remove:function(e){delete this.symbols[e]},clear:function(){var e=this.symbols;for(var n in e)e.hasOwnProperty(n)&&delete e[n];if(this.subScopes)for(var t=this.subScopes,r=0,i=t.length;i>r;r++)t[r].clear();this.clearCache()},clearCache:function(){this.cache={}}},t.context=[],n.exports=t},{"../type/Unit":207}],6:[function(e,n){n.exports={name:"Infinity",category:"Constants",syntax:["Infinity"],description:"Infinity, a number which is larger than the maximum number that can be handled by a floating point number.",examples:["Infinity","1 / 0"],seealso:[]}},{}],7:[function(e,n){n.exports={name:"LN10",category:"Constants",syntax:["LN10"],description:"Returns the natural logarithm of 10, approximately equal to 2.302",examples:["LN10","log(10)"],seealso:[]}},{}],8:[function(e,n){n.exports={name:"LN2",category:"Constants",syntax:["LN2"],description:"Returns the natural logarithm of 2, approximately equal to 0.693",examples:["LN2","log(2)"],seealso:[]}},{}],9:[function(e,n){n.exports={name:"LOG10E",category:"Constants",syntax:["LOG10E"],description:"Returns the base-10 logarithm of E, approximately equal to 0.434",examples:["LOG10E","log(e, 10)"],seealso:[]}},{}],10:[function(e,n){n.exports={name:"LOG2E",category:"Constants",syntax:["LOG2E"],description:"Returns the base-2 logarithm of E, approximately equal to 1.442",examples:["LOG2E","log(e, 2)"],seealso:[]}},{}],11:[function(e,n){n.exports={name:"NaN",category:"Constants",syntax:["NaN"],description:"Not a number",examples:["NaN","0 / 0"],seealso:[]}},{}],12:[function(e,n){n.exports={name:"SQRT1_2",category:"Constants",syntax:["SQRT1_2"],description:"Returns the square root of 1/2, approximately equal to 0.707",examples:["SQRT1_2","sqrt(1/2)"],seealso:[]}},{}],13:[function(e,n){n.exports={name:"SQRT2",category:"Constants",syntax:["SQRT2"],description:"Returns the square root of 2, approximately equal to 1.414",examples:["SQRT2","sqrt(2)"],seealso:[]}},{}],14:[function(e,n){n.exports={name:"e",category:"Constants",syntax:["e"],description:"Euler's number, the base of the natural logarithm. Approximately equal to 2.71828",examples:["e","e ^ 2","exp(2)","log(e)"],seealso:["exp"]}},{}],15:[function(e,n){n.exports={name:"false",category:"Constants",syntax:["false"],description:"Boolean value false",examples:["false"],seealso:["true"]}},{}],16:[function(e,n){n.exports={name:"i",category:"Constants",syntax:["i"],description:"Imaginary unit, defined as i*i=-1. A complex number is described as a + b*i, where a is the real part, and b is the imaginary part.",examples:["i","i * i","sqrt(-1)"],seealso:[]}},{}],17:[function(e,n){n.exports={name:"pi",category:"Constants",syntax:["pi"],description:"The number pi is a mathematical constant that is the ratio of a circle's circumference to its diameter, and is approximately equal to 3.14159",examples:["pi","sin(pi/2)"],seealso:["tau"]}},{}],18:[function(e,n){n.exports={name:"tau",category:"Constants",syntax:["pi"],description:"Tau is the ratio constant of a circle's circumference to radius, equal to 2 * pi, approximately 6.2832.",examples:["tau","2 * pi"],seealso:["pi"]}},{}],19:[function(e,n){n.exports={name:"true",category:"Constants",syntax:["true"],description:"Boolean value true",examples:["true"],seealso:["false"]}},{}],20:[function(e,n){n.exports={name:"abs",category:"Arithmetic",syntax:["abs(x)"],description:"Compute the absolute value.",examples:["abs(3.5)","abs(-4.2)"],seealso:["sign"]}},{}],21:[function(e,n){n.exports={name:"add",category:"Operators",syntax:["x + y","add(x, y)"],description:"Add two values.",examples:["2.1 + 3.6","ans - 3.6","3 + 2i",'"hello" + " world"',"3 cm + 2 inch"],seealso:["subtract"]}},{}],22:[function(e,n){n.exports={name:"ceil",category:"Arithmetic",syntax:["ceil(x)"],description:"Round a value towards plus infinity.If x is complex, both real and imaginary part are rounded towards plus infinity.",examples:["ceil(3.2)","ceil(3.8)","ceil(-4.2)"],seealso:["floor","fix","round"]}},{}],23:[function(e,n){n.exports={name:"cube",category:"Arithmetic",syntax:["cube(x)"],description:"Compute the cube of a value. The cube of x is x * x * x.",examples:["cube(2)","2^3","2 * 2 * 2"],seealso:["multiply","square","pow"]}},{}],24:[function(e,n){n.exports={name:"divide",category:"Operators",syntax:["x / y","divide(x, y)"],description:"Divide two values.",examples:["2 / 3","ans * 3","4.5 / 2","3 + 4 / 2","(3 + 4) / 2","18 km / 4.5"],seealso:["multiply"]}},{}],25:[function(e,n){n.exports={name:"edivide",category:"Operators",syntax:["x ./ y","edivide(x, y)"],description:"divide two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a ./ b"],seealso:["multiply","emultiply","divide"]}},{}],26:[function(e,n){n.exports={name:"emultiply",category:"Operators",syntax:["x .* y","emultiply(x, y)"],description:"multiply two values element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","b = [2, 1, 1; 3, 2, 5]","a .* b"],seealso:["multiply","divide","edivide"]}},{}],27:[function(e,n){n.exports={name:"epow",category:"Operators",syntax:["x .^ y","epow(x, y)"],description:"Calculates the power of x to y element wise.",examples:["a = [1, 2, 3; 4, 5, 6]","a .^ 2"],seealso:["pow"]}},{}],28:[function(e,n){n.exports={name:"equal",category:"Operators",syntax:["x == y","equal(x, y)"],description:"Check equality of two values. Returns 1 if the values are equal, and 0 if not.",examples:["2+2 == 3","2+2 == 4","a = 3.2","b = 6-2.8","a == b","50cm == 0.5m"],seealso:["unequal","smaller","larger","smallereq","largereq"]}},{}],29:[function(e,n){n.exports={name:"exp",category:"Arithmetic",syntax:["exp(x)"],description:"Calculate the exponent of a value.",examples:["exp(1.3)","e ^ 1.3","log(exp(1.3))","x = 2.4","(exp(i*x) == cos(x) + i*sin(x))   # Euler's formula"],seealso:["square","multiply","log"]}},{}],30:[function(e,n){n.exports={name:"fix",category:"Arithmetic",syntax:["fix(x)"],description:"Round a value towards zero.If x is complex, both real and imaginary part are rounded towards zero.",examples:["fix(3.2)","fix(3.8)","fix(-4.2)","fix(-4.8)"],seealso:["ceil","floor","round"]}},{}],31:[function(e,n){n.exports={name:"floor",category:"Arithmetic",syntax:["floor(x)"],description:"Round a value towards minus infinity.If x is complex, both real and imaginary part are rounded towards minus infinity.",examples:["floor(3.2)","floor(3.8)","floor(-4.2)"],seealso:["ceil","fix","round"]}},{}],32:[function(e,n){n.exports={name:"gcd",category:"Arithmetic",syntax:["gcd(a, b)","gcd(a, b, c, ...)"],description:"Compute the greatest common divisor.",examples:["gcd(8, 12)","gcd(-4, 6)","gcd(25, 15, -10)"],seealso:["lcm","xgcd"]}},{}],33:[function(e,n){n.exports={name:"larger",category:"Operators",syntax:["x > y","larger(x, y)"],description:"Check if value x is larger than y. Returns 1 if x is larger than y, and 0 if not.",examples:["2 > 3","5 > 2*2","a = 3.3","b = 6-2.8","(a > b)","(b < a)","5 cm > 2 inch"],seealso:["equal","unequal","smaller","smallereq","largereq"]}},{}],34:[function(e,n){n.exports={name:"largereq",category:"Operators",syntax:["x >= y","largereq(x, y)"],description:"Check if value x is larger or equal to y. Returns 1 if x is larger or equal to y, and 0 if not.",examples:["2 > 1+1","2 >= 1+1","a = 3.2","b = 6-2.8","(a > b)"],seealso:["equal","unequal","smallereq","smaller","largereq"]}},{}],35:[function(e,n){n.exports={name:"lcm",category:"Arithmetic",syntax:["lcm(x, y)"],description:"Compute the least common multiple.",examples:["lcm(4, 6)","lcm(6, 21)","lcm(6, 21, 5)"],seealso:["gcd"]}},{}],36:[function(e,n){n.exports={name:"log",category:"Arithmetic",syntax:["log(x)","log(x, base)"],description:"Compute the logarithm of a value. If no base is provided, the natural logarithm of x is calculated. If base if provided, the logarithm is calculated for the specified base. log(x, base) is defined as log(x) / log(base).",examples:["log(3.5)","a = log(2.4)","exp(a)","10 ^ 3","log(1000, 10)","log(1000) / log(10)","b = logb(1024, 2)","2 ^ b"],seealso:["exp","log10"]}},{}],37:[function(e,n){n.exports={name:"log10",category:"Arithmetic",syntax:["log10(x)"],description:"Compute the 10-base logarithm of a value.",examples:["log10(1000)","10 ^ 3","log10(0.01)","log(1000) / log(10)","log(1000, 10)"],seealso:["exp","log"]}},{}],38:[function(e,n){n.exports={name:"mod",category:"Operators",syntax:["x % y","x mod y","mod(x, y)"],description:"Calculates the modulus, the remainder of an integer division.",examples:["7 % 3","11 % 2","10 mod 4","function isOdd(x) = x % 2","isOdd(2)","isOdd(3)"],seealso:[]}},{}],39:[function(e,n){n.exports={name:"multiply",category:"Operators",syntax:["x * y","multiply(x, y)"],description:"multiply two values.",examples:["2.1 * 3.6","ans / 3.6","2 * 3 + 4","2 * (3 + 4)","3 * 2.1 km"],seealso:["divide"]}},{}],40:[function(e,n){n.exports={name:"pow",category:"Operators",syntax:["x ^ y","pow(x, y)"],description:"Calculates the power of x to y, x^y.",examples:["2^3 = 8","2*2*2","1 + e ^ (pi * i)"],seealso:["unequal","smaller","larger","smallereq","largereq"]}},{}],41:[function(e,n){n.exports={name:"round",category:"Arithmetic",syntax:["round(x)","round(x, n)"],description:"round a value towards the nearest integer.If x is complex, both real and imaginary part are rounded towards the nearest integer. When n is specified, the value is rounded to n decimals.",examples:["round(3.2)","round(3.8)","round(-4.2)","round(-4.8)","round(pi, 3)","round(123.45678, 2)"],seealso:["ceil","floor","fix"]}},{}],42:[function(e,n){n.exports={name:"sign",category:"Arithmetic",syntax:["sign(x)"],description:"Compute the sign of a value. The sign of a value x is 1 when x>1, -1 when x<0, and 0 when x=0.",examples:["sign(3.5)","sign(-4.2)","sign(0)"],seealso:["abs"]}},{}],43:[function(e,n){n.exports={name:"smaller",category:"Operators",syntax:["x < y","smaller(x, y)"],description:"Check if value x is smaller than value y. Returns 1 if x is smaller than y, and 0 if not.",examples:["2 < 3","5 < 2*2","a = 3.3","b = 6-2.8","(a < b)","5 cm < 2 inch"],seealso:["equal","unequal","larger","smallereq","largereq"]}},{}],44:[function(e,n){n.exports={name:"smallereq",category:"Operators",syntax:["x <= y","smallereq(x, y)"],description:"Check if value x is smaller or equal to value y. Returns 1 if x is smaller than y, and 0 if not.",examples:["2 < 1+1","2 <= 1+1","a = 3.2","b = 6-2.8","(a < b)"],seealso:["equal","unequal","larger","smaller","largereq"]}},{}],45:[function(e,n){n.exports={name:"sqrt",category:"Arithmetic",syntax:["sqrt(x)"],description:"Compute the square root value. If x = y * y, then y is the square root of x.",examples:["sqrt(25)","5 * 5","sqrt(-1)"],seealso:["square","multiply"]}},{}],46:[function(e,n){n.exports={name:"square",category:"Arithmetic",syntax:["square(x)"],description:"Compute the square of a value. The square of x is x * x.",examples:["square(3)","sqrt(9)","3^2","3 * 3"],seealso:["multiply","pow","sqrt","cube"]}},{}],47:[function(e,n){n.exports={name:"subtract",category:"Operators",syntax:["x - y","subtract(x, y)"],description:"subtract two values.",examples:["5.3 - 2","ans + 2","2/3 - 1/6","2 * 3 - 3","2.1 km - 500m"],seealso:["add"]}},{}],48:[function(e,n){n.exports={name:"unary",category:"Operators",syntax:["-x","unary(x)"],description:"Inverse the sign of a value.",examples:["-4.5","-(-5.6)"],seealso:["add","subtract"]}},{}],49:[function(e,n){n.exports={name:"unequal",category:"Operators",syntax:["x != y","unequal(x, y)"],description:"Check unequality of two values. Returns 1 if the values are unequal, and 0 if they are equal.",examples:["2+2 != 3","2+2 != 4","a = 3.2","b = 6-2.8","a != b","50cm != 0.5m","5 cm != 2 inch"],seealso:["equal","smaller","larger","smallereq","largereq"]}},{}],50:[function(e,n){n.exports={name:"xgcd",category:"Arithmetic",syntax:["xgcd(a, b)"],description:"Calculate the extended greatest common divisor for two values",examples:["xgcd(8, 12)","gcd(8, 12)","xgcd(36163, 21199)"],seealso:["gcd","lcm"]}},{}],51:[function(e,n){n.exports={name:"arg",category:"Complex",syntax:["arg(x)"],description:"Compute the argument of a complex value. If x = a+bi, the argument is computed as atan2(b, a).",examples:["arg(2 + 2i)","atan2(3, 2)","arg(2 - 3i)"],seealso:["re","im","conj","abs"]}},{}],52:[function(e,n){n.exports={name:"conj",category:"Complex",syntax:["conj(x)"],description:"Compute the complex conjugate of a complex value. If x = a+bi, the complex conjugate is a-bi.",examples:["conj(2 + 3i)","conj(2 - 3i)","conj(-5.2i)"],seealso:["re","im","abs","arg"]}},{}],53:[function(e,n){n.exports={name:"im",category:"Complex",syntax:["im(x)"],description:"Get the imaginary part of a complex number.",examples:["im(2 + 3i)","re(2 + 3i)","im(-5.2i)","im(2.4)"],seealso:["re","conj","abs","arg"]}},{}],54:[function(e,n){n.exports={name:"re",category:"Complex",syntax:["re(x)"],description:"Get the real part of a complex number.",examples:["re(2 + 3i)","im(2 + 3i)","re(-5.2i)","re(2.4)"],seealso:["im","conj","abs","arg"]}},{}],55:[function(e,n){n.exports={name:"bignumber",category:"Type",syntax:["bignumber(x)"],description:"Create a big number from a number or string.",examples:["0.1 + 0.2","bignumber(0.1) + bignumber(0.2)",'bignumber("7.2")','bignumber("7.2e500")',"bignumber([0.1, 0.2, 0.3])"],seealso:["boolean","complex","index","matrix","string","unit"]}},{}],56:[function(e,n){n.exports={name:"boolean",category:"Type",syntax:["x","boolean(x)"],description:"Convert a string or number into a boolean.",examples:["boolean(0)","boolean(1)","boolean(3)",'boolean("true")','boolean("false")',"boolean([1, 0, 1, 1])"],seealso:["bignumber","complex","index","matrix","number","string","unit"]}},{}],57:[function(e,n){n.exports={name:"complex",category:"Type",syntax:["complex()","complex(re, im)","complex(string)"],description:"Create a complex number.",examples:["complex()","complex(2, 3)",'complex("7 - 2i")'],seealso:["bignumber","boolean","index","matrix","number","string","unit"]}},{}],58:[function(e,n){n.exports={name:"index",category:"Type",syntax:["[start]","[start:end]","[start:step:end]","[start1, start 2, ...]","[start1:end1, start2:end2, ...]","[start1:step1:end1, start2:step2:end2, ...]"],description:"Create an index to get or replace a subset of a matrix",examples:["[]","[1, 2, 3]","A = [1, 2, 3; 4, 5, 6]","A[1, :]","A[1, 2] = 50","A[0:2, 0:2] = ones(2, 2)"],seealso:["bignumber","boolean","complex","matrix,","number","range","string","unit"]}},{}],59:[function(e,n){n.exports={name:"matrix",category:"Type",syntax:["[]","[a1, b1, ...; a2, b2, ...]","matrix()","matrix([...])"],description:"Create a matrix.",examples:["[]","[1, 2, 3]","[1, 2, 3; 4, 5, 6]","matrix()","matrix([3, 4])"],seealso:["bignumber","boolean","complex","index","number","string","unit"]}},{}],60:[function(e,n){n.exports={name:"number",category:"Type",syntax:["x","number(x)"],description:"Create a number or convert a string or boolean into a number.",examples:["2","2e3","4.05","number(2)",'number("7.2")',"number(true)","number([true, false, true, true])"],seealso:["bignumber","boolean","complex","index","matrix","string","unit"]}},{}],61:[function(e,n){n.exports={name:"string",category:"Type",syntax:['"text"',"string(x)"],description:"Create a string or convert a value to a string",examples:['"Hello World!"',"string(4.2)","string(3 + 2i)"],seealso:["bignumber","boolean","complex","index","matrix","number","unit"]}},{}],62:[function(e,n){n.exports={name:"unit",category:"Type",syntax:["value unit","unit(value, unit)","unit(string)"],description:"Create a unit.",examples:["5.5 mm","3 inch",'unit(7.1, "kilogram")','unit("23 deg")'],seealso:["bignumber","boolean","complex","index","matrix","number","string"]}},{}],63:[function(e,n){n.exports={name:"eval",category:"Expression",syntax:["eval(expression)","eval([expr1, expr2, expr3, ...])"],description:"Evaluate an expression or an array with expressions.",examples:['eval("2 + 3")','eval("sqrt(" + 4 + ")")'],seealso:[]}},{}],64:[function(e,n){n.exports={name:"help",category:"Expression",syntax:["help(object)","help(string)"],description:"Display documentation on a function or data type.",examples:["help(sqrt)",'help("complex")'],seealso:[]}},{}],65:[function(e,n){n.exports={name:"concat",category:"Matrix",syntax:["concat(a, b, c, ...)","concat(a, b, c, ..., dim)"],description:"Concatenate matrices. By default, the matrices are concatenated by the first dimension. The dimension on which to concatenate can be provided as last argument.",examples:["a = [1, 2; 5, 6]","b = [3, 4; 7, 8]","concat(a, b)","[a, b]","concat(a, b, 2)","[a; b]"],seealso:["det","diag","eye","inv","ones","range","size","squeeze","subset","transpose","zeros"]}},{}],66:[function(e,n){n.exports={name:"det",category:"Matrix",syntax:["det(x)"],description:"Calculate the determinant of a matrix",examples:["det([1, 2; 3, 4])","det([-2, 2, 3; -1, 1, 3; 2, 0, -1])"],seealso:["concat","diag","eye","inv","ones","range","size","squeeze","subset","transpose","zeros"]}},{}],67:[function(e,n){n.exports={name:"diag",category:"Matrix",syntax:["diag(x)","diag(x, k)"],description:"Create a diagonal matrix or retrieve the diagonal of a matrix. When x is a vector, a matrix with the vector values on the diagonal will be returned. When x is a matrix, a vector with the diagonal values of the matrix is returned.When k is provided, the k-th diagonal will be filled in or retrieved, if k is positive, the values are placed on the super diagonal. When k is negative, the values are placed on the sub diagonal.",examples:["diag(1:3)","diag(1:3, 1)","a = [1, 2, 3; 4, 5, 6; 7, 8, 9]","diag(a)"],seealso:["concat","det","eye","inv","ones","range","size","squeeze","subset","transpose","zeros"]}},{}],68:[function(e,n){n.exports={name:"eye",category:"Matrix",syntax:["eye(n)","eye(m, n)","eye([m, n])","eye"],description:"Returns the identity matrix with size m-by-n. 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