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- "use strict";
- Object.defineProperty(exports, "__esModule", {
- value: true
- });
- exports.createLog1p = void 0;
- var _factory = require("../../utils/factory.js");
- var _collection = require("../../utils/collection.js");
- var _number = require("../../utils/number.js");
- var name = 'log1p';
- var dependencies = ['typed', 'config', 'divideScalar', 'log', 'Complex'];
- var createLog1p = /* #__PURE__ */(0, _factory.factory)(name, dependencies, function (_ref) {
- var typed = _ref.typed,
- config = _ref.config,
- divideScalar = _ref.divideScalar,
- log = _ref.log,
- Complex = _ref.Complex;
- /**
- * Calculate the logarithm of a `value+1`.
- *
- * For matrices, the function is evaluated element wise.
- *
- * Syntax:
- *
- * math.log1p(x)
- * math.log1p(x, base)
- *
- * Examples:
- *
- * math.log1p(2.5) // returns 1.252762968495368
- * math.exp(math.log1p(1.4)) // returns 2.4
- *
- * math.pow(10, 4) // returns 10000
- * math.log1p(9999, 10) // returns 4
- * math.log1p(9999) / math.log(10) // returns 4
- *
- * See also:
- *
- * exp, log, log2, log10
- *
- * @param {number | BigNumber | Complex | Array | Matrix} x
- * Value for which to calculate the logarithm of `x+1`.
- * @param {number | BigNumber | Complex} [base=e]
- * Optional base for the logarithm. If not provided, the natural
- * logarithm of `x+1` is calculated.
- * @return {number | BigNumber | Complex | Array | Matrix}
- * Returns the logarithm of `x+1`
- */
- return typed(name, {
- number: function number(x) {
- if (x >= -1 || config.predictable) {
- return (0, _number.log1p)(x);
- } else {
- // negative value -> complex value computation
- return _log1pComplex(new Complex(x, 0));
- }
- },
- Complex: _log1pComplex,
- BigNumber: function BigNumber(x) {
- var y = x.plus(1);
- if (!y.isNegative() || config.predictable) {
- return y.ln();
- } else {
- // downgrade to number, return Complex valued result
- return _log1pComplex(new Complex(x.toNumber(), 0));
- }
- },
- 'Array | Matrix': typed.referToSelf(function (self) {
- return function (x) {
- return (0, _collection.deepMap)(x, self);
- };
- }),
- 'any, any': typed.referToSelf(function (self) {
- return function (x, base) {
- // calculate logarithm for a specified base, log1p(x, base)
- return divideScalar(self(x), log(base));
- };
- })
- });
- /**
- * Calculate the natural logarithm of a complex number + 1
- * @param {Complex} x
- * @returns {Complex}
- * @private
- */
- function _log1pComplex(x) {
- var xRe1p = x.re + 1;
- return new Complex(Math.log(Math.sqrt(xRe1p * xRe1p + x.im * x.im)), Math.atan2(x.im, xRe1p));
- }
- });
- exports.createLog1p = createLog1p;
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