1 | import { factory } from '../../utils/factory'
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2 | import { deepMap } from '../../utils/collection'
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3 | import { asecNumber } from '../../plain/number'
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4 |
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5 | const name = 'asec'
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6 | const dependencies = ['typed', 'config', 'Complex', 'BigNumber']
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7 |
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8 | export const createAsec = /* #__PURE__ */ factory(name, dependencies, ({ typed, config, Complex, BigNumber }) => {
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9 | /**
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10 | * Calculate the inverse secant of a value. Defined as `asec(x) = acos(1/x)`.
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11 | *
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12 | * For matrices, the function is evaluated element wise.
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13 | *
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14 | * Syntax:
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15 | *
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16 | * math.asec(x)
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17 | *
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18 | * Examples:
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19 | *
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20 | * math.asec(0.5) // returns 1.0471975511965979
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21 | * math.asec(math.sec(1.5)) // returns 1.5
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22 | *
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23 | * math.asec(2) // returns 0 + 1.3169578969248166 i
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24 | *
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25 | * See also:
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26 | *
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27 | * acos, acot, acsc
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28 | *
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29 | * @param {number | Complex | Array | Matrix} x Function input
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30 | * @return {number | Complex | Array | Matrix} The arc secant of x
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31 | */
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32 | return typed(name, {
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33 | number: function (x) {
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34 | if (x <= -1 || x >= 1 || config.predictable) {
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35 | return asecNumber(x)
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36 | }
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37 | return new Complex(x, 0).asec()
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38 | },
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39 |
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40 | Complex: function (x) {
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41 | return x.asec()
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42 | },
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43 |
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44 | BigNumber: function (x) {
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45 | return new BigNumber(1).div(x).acos()
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46 | },
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47 |
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48 | 'Array | Matrix': function (x) {
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49 | return deepMap(x, this)
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50 | }
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51 | })
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52 | })
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