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Arthur Guiot edited this page Feb 20, 2018 · 3 revisions

List of functions

This a temporary document. ( A lot of functions are missing, check out our test file or our code to have a better idea of TheoremJS)

const t = require("theorems.js")
/* List of functions */

/* Array Manipulation */

// Flatten
t.flatten([
    [1, 2],
    [3, 4], 5
]) // => [1, 2, 3, 4, 5]

// Linspace
t.linspace(0, 100, 10) // => [0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100]

// Range
t.range(10) // => [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10]

// Reshape
t.reshape(t.range(10), 2) /* => [
    [0, 1],
    [2, 3],
    [4, 5],
    [6, 7],
    [8, 9],
    [10]
]) */

/* Math */

/* Algebra */

// Function
t.f("x", "2*x+1") // => TheoremJS function object

// Run
t.run(f, x) // = f(x)

// Polynomial
t.polynomial(2, 1) // f(x) = 2x + 1
t.polynomial(3, 2, 1) // f(x) = 3x^2 + 2x + 1

// Find Roots
t.findRoots(t.polynomial(1, -1, -1)) // => ['(1 + Math.sqrt(5)) / 2', '(1 - Math.sqrt(5)) / 2']

// Numeral Solve
t.numeralSolve(t.f("x", "2*x+1"), 0) // => ['-0.5', 0] , Returns -0.5 with 0 error rate

// Y-Intercept
t.y_intercept(t.f("x", "2*x+1")) // => 1

/* Math Basic functions */

// Factorial (returns a BigNumber object)
t.factorial(5).toNumber() // => 120

// Pow (returns a BigNumber object)
t.pow(2, 8).toNumber() // => 256

// Root (returns a BigNumber object)
t.root(256, 8).toNumber() // => 2

// Sqrt (returns a BigNumber object)
t.sqrt(4).toNumber() // => 2

// Sigmoid (returns a BigNumber object)
t.sigmoid(0).toNumber() // => 0.5

/* Number Theory */

// Pi (returns a BigNumber object)
t.pi().toNumber() // => 3.14159265358979

// e (returns a BigNumber object)
t.e().toNumber() // => 2.71828182845905

// Golden Ratio (returns a BigNumber object)
t.goldenRatio().toNumber() // => 1.61803398874989

// Constants (returns a BigNumber object)
t.c("pi") // => 3.14159265358979
t.c("e") // => 2.71828182845905
t.c("goldenRatio") // => 1.61803398874989
t.c("sqrt(2)") // => 1.4142135623730951
t.c("EulerGamma") // => 0.577215664901533
t.c("UltimateAnswer") // => 42

// isPrime
t.isPrime(31013) // => true

// Round
t.round(3.1415926535897, 2) // => 3.14

/* Other */

// Apply
t.apply(2, x => 2 * x) // => 4

// Min, Max & Sort
t.min(1, 3, 2) // => 1
t.max(1, 3, 2) // => 3
t.sort(1, 3, 2) // => [1, 2, 3]

// Product (returns a BigNumber object)
t.product(1, 3, 2).toNumber() // => 6

// Sum (returns a BigNumber object)
t.sum(1, 3, 3).toNumber() // => 7
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