fix: Uniformize bigint construction

   Adds options to the bigint constructor function `math.bigint()` to
   control whether/how non-integer inputs are rounded or errors thrown,
   and whether "unsafe" values outside the range where integers can be
   uniquely represented are converted. Changes `math.numeric(x, 'bigint')`
   to call the bigint constructor configured to allow unsafe values but
   throw on non-integers (closest approximation to its previous buggy
   behavior).

   Also restores documentation generation for constructor functions,
   and initiates History sections in function doc pages.

   Resolves josdejong#3366.
   Resolves josdejong#3368.
   Resolves josdejong#3341.

src/core/function/import.js

@@ -45,17 +45,26 @@ export function importFactory (typed, load, math, importedFactories) {
    *        return 'hello, ' + name + '!'
    *      }
    *    })
-   *
-   *    // use the imported function and variable
+   *        // use the imported function and variable
    *    math.myvalue * 2               // 84
+   *
    *    math.hello('user')             // 'hello, user!'
    *
    *    // import the npm module 'numbers'
    *    // (must be installed first with `npm install numbers`)
    *    math.import(numbers, {wrap: true})
-   *
    *    math.fibonacci(7) // returns 13
    *
+   * See also:
+   *
+   *    create, all
+   *
+   * History:
+   *
+   *    v0.2  Created
+   *    v0.7  Changed second parameter to an options object
+   *    v2    Dropped support for direct import of a module by name
+   *
    * @param {Object | Array} functions  Object with functions to be imported.
    * @param {Object} [options]          Import options.
    */

src/expression/parse.js

@@ -66,19 +66,35 @@ export const createParse = /* #__PURE__ */ factory(name, dependencies, ({
    *     node1.compile().evaluate() // 5
    *
    *     let scope = {a:3, b:4}
-   *     const node2 = math.parse('a * b') // 12
+   *     const node2 = math.parse('a * b')
+   *     node2.evaluate(scope) // 12
    *     const code2 = node2.compile()
-   *     code2.evaluate(scope) // 12
+   *     scope.b = 5
+   *     code2.evaluate(scope) // 15
    *     scope.a = 5
-   *     code2.evaluate(scope) // 20
+   *     code2.evaluate(scope) // 25
    *
-   *     const nodes = math.parse(['a = 3', 'b = 4', 'a * b'])
-   *     nodes[2].compile().evaluate() // 12
+   *     const nodes = math.parse(['a = 3', 'b = 2', 'a * b'])
+   *     const newscope = {}
+   *     nodes.map(node => node.compile().evaluate(newscope)) // [3, 2, 6]
    *
    * See also:
    *
    *     evaluate, compile
    *
+   * History:
+   *
+   *     v0.9   Created
+   *     v0.13  Switched to one-based indices
+   *     v0.14  Added `[1,2;3,4]` notation for matrices
+   *     v0.18  Dropped the `function` keyword
+   *     v0.20  Added ternary conditional
+   *     v0.27  Allow multi-line expressions; allow functions that receive
+   *            unevaluated parameters (`rawArgs`)
+   *     v3     Add object notation; allow assignments internal to other
+   *            expressions
+   *     v7.3   Supported binary, octal, and hexadecimal notation
+   *
    * @param {string | string[] | Matrix} expr          Expression to be parsed
    * @param {{nodes: Object<string, Node>}} [options]  Available options:
    *                                                   - `nodes` a set of custom nodes

src/function/algebra/polynomialRoot.js

@@ -42,17 +42,17 @@ export const createPolynomialRoot = /* #__PURE__ */ factory(name, dependencies,
    *     math.polynomialRoot(constant, linearCoeff, quadraticCoeff, cubicCoeff)
    *
    * Examples:
-   *     // linear
+   *         // linear
    *     math.polynomialRoot(6, 3)                                        // [-2]
    *     math.polynomialRoot(math.complex(6,3), 3)                        // [-2 - i]
    *     math.polynomialRoot(math.complex(6,3), math.complex(2,1))        // [-3 + 0i]
-   *     // quadratic
+   *         // quadratic
    *     math.polynomialRoot(2, -3, 1)                                    // [2, 1]
    *     math.polynomialRoot(8, 8, 2)                                     // [-2]
    *     math.polynomialRoot(-2, 0, 1)                                    // [1.4142135623730951, -1.4142135623730951]
    *     math.polynomialRoot(2, -2, 1)                                    // [1 + i, 1 - i]
    *     math.polynomialRoot(math.complex(1,3), math.complex(-3, -2), 1)  // [2 + i, 1 + i]
-   *     // cubic
+   *         // cubic
    *     math.polynomialRoot(-6, 11, -6, 1)                               // [1, 3, 2]
    *     math.polynomialRoot(-8, 0, 0, 1)                                 // [-1 - 1.7320508075688774i, 2, -1 + 1.7320508075688774i]
    *     math.polynomialRoot(0, 8, 8, 2)                                  // [0, -2]
@@ -61,6 +61,10 @@ export const createPolynomialRoot = /* #__PURE__ */ factory(name, dependencies,
    * See also:
    *     cbrt, sqrt
    *
+   * History:
+   *
+   *     v11.4  Created
+   *
    * @param {... number | Complex} coeffs
    *     The coefficients of the polynomial, starting with with the constant coefficent, followed
    *     by the linear coefficient and subsequent coefficients of increasing powers.

src/function/arithmetic/log.js

@@ -13,6 +13,13 @@ export const createLog = /* #__PURE__ */ factory(name, dependencies, ({ typed, t
    * To avoid confusion with the matrix logarithm, this function does not
    * apply to matrices.
    *
+   * Note that when the value is a Fraction, then the
+   * base must be specified as a Fraction, and the log() will only be
+   * returned when the result happens to be rational. When there is an
+   * attempt to take a log of Fractions that would result in an irrational
+   * value, a TypeError against implicit conversion of BigInt to Fraction
+   * is thrown.
+   *
    * Syntax:
    *
    *    math.log(x)
@@ -34,11 +41,25 @@ export const createLog = /* #__PURE__ */ factory(name, dependencies, ({ typed, t
    *
    *    exp, log2, log10, log1p
    *
+   * History:
+   *
+   *    v0.0.2  Created
+   *    v0.2    Add optional base argument
+   *    v0.3    Handle Array input
+   *    v0.5    Handle Matrix input
+   *    v0.16   Handle BigNumber input
+   *    v0.21   Support negative BigNumbers
+   *    v11     Drop Array/Matrix support in favor of explicit map of
+   *            the scalar log function, to avoid confusion with the log
+   *            of a matrix
+   *    v14     Allow value and base to be Fractions, when the log is rational
+   *
    * @param {number | BigNumber | Fraction | Complex} x
    *            Value for which to calculate the logarithm.
    * @param {number | BigNumber | Fraction | Complex} [base=e]
    *            Optional base for the logarithm. If not provided, the natural
-   *            logarithm of `x` is calculated.
+   *            logarithm of `x` is calculated, unless x is a Fraction, in
+   *            which case an error is thrown.
    * @return {number | BigNumber | Fraction | Complex}
    *            Returns the logarithm of `x`
    */

src/function/matrix/map.js

@@ -38,13 +38,19 @@ export const createMap = /* #__PURE__ */ factory(name, dependencies, ({ typed })
    *    //    callback(value, index, Array)
    *    // If you want to call with only one argument, use:
    *    math.map([1, 2, 3], x => math.format(x)) // returns ['1', '2', '3']
-   *    // It can also be called with 2N + 1 arguments: for N arrays
-   *    //    callback(value1, value2, index, BroadcastedArray1, BroadcastedArray2)
+   *        // It can also be called with 2N + 1 arguments: for N arrays
+   *        //    callback(value1, value2, index, BroadcastedArray1, BroadcastedArray2)
    *
    * See also:
    *
    *    filter, forEach, sort
    *
+   * History:
+   *
+   *    v0.13  Created
+   *    v1.1   Clone the indices on each callback in case callback mutates
+   *    v13.1  Support multiple inputs to the callback
+   *
    * @param {Matrix | Array} x    The input to iterate on.
    * @param {Function} callback
    *     The function to call (as described above) on each entry of the input

src/function/relational/compare.js

@@ -58,6 +58,11 @@ export const createCompare = /* #__PURE__ */ factory(name, dependencies, ({ type
    *
    *    equal, unequal, smaller, smallerEq, larger, largerEq, compareNatural, compareText
    *
+   * History:
+   *
+   *    v0.19  Created
+   *    v4     Changed to compare strings by numerical value
+   *
    * @param  {number | BigNumber | bigint | Fraction | Unit | string | Array | Matrix} x First value to compare
    * @param  {number | BigNumber | bigint | Fraction | Unit | string | Array | Matrix} y Second value to compare
    * @return {number | BigNumber | bigint | Fraction | Array | Matrix} Returns the result of the comparison:

src/function/string/format.js

@@ -109,7 +109,6 @@ export const createFormat = /* #__PURE__ */ factory(name, dependencies, ({ typed
    *    function formatCurrency(value) {
    *      // return currency notation with two digits:
    *      return '$' + value.toFixed(2)
-   *
    *      // you could also use math.format inside the callback:
    *      // return '$' + math.format(value, {notation: 'fixed', precision: 2})
    *    }
@@ -119,6 +118,14 @@ export const createFormat = /* #__PURE__ */ factory(name, dependencies, ({ typed
    *
    *    print
    *
+   * History:
+   *
+   *    v0.4   Created
+   *    v0.7   Round to a consistent number of digits (rather than decimals)
+   *    v0.15  Added multiple number notations and configurable precision
+   *    v3     Added support for JSON objects
+   *    v9     Added binary, hexadecimal, and octal notations
+   *
    * @param {*} value                               Value to be stringified
    * @param {Object | Function | number} [options]  Formatting options
    * @return {string} The formatted value

src/function/utils/numeric.js

@@ -3,12 +3,13 @@ import { factory } from '../../utils/factory.js'
 import { noBignumber, noFraction } from '../../utils/noop.js'
 
 const name = 'numeric'
-const dependencies = ['number', '?bignumber', '?fraction']
+const dependencies = ['number', 'bigint', '?bignumber', '?fraction']
 
-export const createNumeric = /* #__PURE__ */ factory(name, dependencies, ({ number, bignumber, fraction }) => {
+export const createNumeric = /* #__PURE__ */ factory(name, dependencies, ({ number, bigint, bignumber, fraction }) => {
   const validInputTypes = {
     string: true,
     number: true,
+    bigint: true,
     BigNumber: true,
     Fraction: true
   }
@@ -19,7 +20,7 @@ export const createNumeric = /* #__PURE__ */ factory(name, dependencies, ({ numb
     BigNumber: bignumber
       ? (x) => bignumber(x)
       : noBignumber,
-    bigint: (x) => BigInt(x),
+    bigint: (x) => bigint(x, { round: 'throw', safe: false }),
     Fraction: fraction
       ? (x) => fraction(x)
       : noFraction
@@ -46,6 +47,12 @@ export const createNumeric = /* #__PURE__ */ factory(name, dependencies, ({ numb
    *
    *    number, fraction, bignumber, bigint, string, format
    *
+   * History:
+   *
+   *    v6       Created
+   *    v13      Added `bigint` support
+   *    v14.2.1  Prefer mathjs `bigint()` to built-in `BigInt()`
+   *
    * @param {string | number | BigNumber | bigint | Fraction } value
    *              A numeric value or a string containing a numeric value
    * @param {string} outputType