UNPKG

2.46 kBMarkdownView Raw
1<!-- Note: This file is automatically generated from source code comments. Changes made in this file will be overridden. -->
2
3# Function rationalize
4
5Transform a rationalizable expression in a rational fraction.
6If rational fraction is one variable polynomial then converts
7the numerator and denominator in canonical form, with decreasing
8exponents, returning the coefficients of numerator.
9
10
11## Syntax
12
13```js
14rationalize(expr)
15rationalize(expr, detailed)
16rationalize(expr, scope)
17rationalize(expr, scope, detailed)
18```
19
20### Parameters
21
22Parameter | Type | Description
23--------- | ---- | -----------
24`expr` | Node &#124; string | The expression to check if is a polynomial expression
25`optional` | Object &#124; boolean | scope of expression or true for already evaluated rational expression at input
26`detailed` | Boolean | optional True if return an object, false if return expression node (default)
27
28### Returns
29
30Type | Description
31---- | -----------
32Object &#124; Node | The rational polynomial of `expr` or na object {Object} {Expression Node} expression: node simplified expression {Expression Node} numerator: simplified numerator of expression {Expression Node | boolean} denominator: simplified denominator or false (if there is no denominator) {Array} variables: variable names {Array} coefficients: coefficients of numerator sorted by increased exponent {Expression Node} node simplified expression
33
34
35## Examples
36
37```js
38math.rationalize('sin(x)+y')
39 // Error: There is an unsolved function call
40math.rationalize('2x/y - y/(x+1)')
41 // (2*x^2-y^2+2*x)/(x*y+y)
42math.rationalize('(2x+1)^6')
43 // 64*x^6+192*x^5+240*x^4+160*x^3+60*x^2+12*x+1
44math.rationalize('2x/( (2x-1) / (3x+2) ) - 5x/ ( (3x+4) / (2x^2-5) ) + 3')
45 // -20*x^4+28*x^3+104*x^2+6*x-12)/(6*x^2+5*x-4)
46math.rationalize('x/(1-x)/(x-2)/(x-3)/(x-4) + 2x/ ( (1-2x)/(2-3x) )/ ((3-4x)/(4-5x) )') =
47 // (-30*x^7+344*x^6-1506*x^5+3200*x^4-3472*x^3+1846*x^2-381*x)/
48 // (-8*x^6+90*x^5-383*x^4+780*x^3-797*x^2+390*x-72)
49
50math.rationalize('x+x+x+y',{y:1}) // 3*x+1
51math.rationalize('x+x+x+y',{}) // 3*x+y
52
53const ret = math.rationalize('x+x+x+y',{},true)
54 // ret.expression=3*x+y, ret.variables = ["x","y"]
55const ret = math.rationalize('-2+5x^2',{},true)
56 // ret.expression=5*x^2-2, ret.variables = ["x"], ret.coefficients=[-2,0,5]
57```
58
59
60## See also
61
62[simplify](simplify.md)