1 |
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2 |
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3 | const deepMap = require('../../utils/collection/deepMap')
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4 |
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5 | function factory (type, config, load, typed) {
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6 | /**
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7 | * Calculate the inverse secant of a value. Defined as `asec(x) = acos(1/x)`.
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8 | *
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9 | * For matrices, the function is evaluated element wise.
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10 | *
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11 | * Syntax:
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12 | *
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13 | * math.asec(x)
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14 | *
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15 | * Examples:
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16 | *
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17 | * math.asec(0.5) // returns 1.0471975511965979
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18 | * math.asec(math.sec(1.5)) // returns 1.5
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19 | *
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20 | * math.asec(2) // returns 0 + 1.3169578969248166 i
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21 | *
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22 | * See also:
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23 | *
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24 | * acos, acot, acsc
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25 | *
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26 | * @param {number | Complex | Array | Matrix} x Function input
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27 | * @return {number | Complex | Array | Matrix} The arc secant of x
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28 | */
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29 | const asec = typed('asec', {
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30 | 'number': function (x) {
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31 | if (x <= -1 || x >= 1 || config.predictable) {
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32 | return Math.acos(1 / x)
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33 | }
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34 | return new type.Complex(x, 0).asec()
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35 | },
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36 |
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37 | 'Complex': function (x) {
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38 | return x.asec()
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39 | },
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40 |
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41 | 'BigNumber': function (x) {
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42 | return new type.BigNumber(1).div(x).acos()
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43 | },
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44 |
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45 | 'Array | Matrix': function (x) {
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46 | return deepMap(x, asec)
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47 | }
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48 | })
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49 |
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50 | asec.toTex = { 1: `\\sec^{-1}\\left(\${args[0]}\\right)` }
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51 |
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52 | return asec
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53 | }
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54 |
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55 | exports.name = 'asec'
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56 | exports.factory = factory
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