mathjs/src/function/trigonometry/sec.js

Math.js is an extensive math library for JavaScript and Node.js. It features a flexible expression parser with support for symbolic computation, comes with a large set of built-in functions and constants, and offers an integrated solution to work with dif

'use strict'

const deepMap = require('../../utils/collection/deepMap')

function factory (type, config, load, typed) {
  /**
   * Calculate the secant of a value, defined as `sec(x) = 1/cos(x)`.
   *
   * For matrices, the function is evaluated element wise.
   *
   * Syntax:
   *
   *    math.sec(x)
   *
   * Examples:
   *
   *    math.sec(2)      // returns number -2.4029979617223822
   *    1 / math.cos(2)  // returns number -2.4029979617223822
   *
   * See also:
   *
   *    cos, csc, cot
   *
   * @param {number | Complex | Unit | Array | Matrix} x  Function input
   * @return {number | Complex | Array | Matrix} Secant of x
   */
  const sec = typed('sec', {
    'number': function (x) {
      return 1 / Math.cos(x)
    },

    'Complex': function (x) {
      return x.sec()
    },

    'BigNumber': function (x) {
      return new type.BigNumber(1).div(x.cos())
    },

    'Unit': function (x) {
      if (!x.hasBase(type.Unit.BASE_UNITS.ANGLE)) {
        throw new TypeError('Unit in function sec is no angle')
      }
      return sec(x.value)
    },

    'Array | Matrix': function (x) {
      return deepMap(x, sec)
    }
  })

  sec.toTex = { 1: `\\sec\\left(\${args[0]}\\right)` }

  return sec
}

exports.name = 'sec'
exports.factory = factory