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Ported to JS from https://gist.github.com/4700257 by @kelleydv This is a function in python that accepts a list of arrays. The arrays represent the coefficients of a polynomial, in increasing degree. For example, the array (1,0,3) represents the polynomial 3x^2+1. The output is an array of lines of LaTeX code suitable for insertion into an enume…
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/* | |
* polyTexMe | |
* @param polynomials: Array | |
* @return: Array | |
* | |
* polyTexMe takes a list of coefficient-arrays, | |
* where the degree of the term is equal to the index | |
*/ | |
var polyTexMe = function(polynomials){ | |
var someLatex = [], | |
i; | |
for(i in polynomials){ | |
var coeffArray = polynomials[i], | |
rawPoly = [], | |
textLine = '', | |
order = 0, | |
j; | |
for(j in coeffArray){ | |
var coefficient = coeffArray[j], | |
plusSign = '', | |
a = '', // will be the coeff for output | |
variable = '', // represents the variable factor of the term | |
texTerm = []; | |
if(coefficient != 0){ | |
if(order > 1){ | |
variable = 'x^{'+order+'}'; | |
} else if(order == 1){ | |
variable = 'x'; | |
} else if(order == 0 && coefficient !=0){ | |
a = coefficient; | |
} | |
if(coefficient*coefficient !=1){ // if the coeff is not 1 or -1 | |
a = coefficient; | |
} else { | |
if(coefficient == -1){ | |
if(order > 0){ | |
a = '-'; | |
} else { | |
a = '-1'; | |
} | |
} | |
} | |
} | |
// do we need a '+' sign? | |
if(coefficient > 0 && order < coeffArray.length-1){ | |
plusSign = '+'; | |
} | |
texTerm = [plusSign, a, variable]; // putting this term together | |
rawPoly.push(texTerm.join('')); // adding it to the rest of the terms for this polynomial | |
order += 1; | |
} | |
rawPoly.reverse(); | |
texLine = '\\item $'+(rawPoly.join(''))+'$'; // the actual LaTeX line | |
someLatex.push(texLine); | |
} | |
return someLatex; | |
}; | |
/* | |
* Usage | |
* | |
* Insert an multidimensional array of your coefficients | |
* Output returns respective array of output. | |
* | |
* Expected and Actual Return: | |
* | |
* [ "\item $x^{3}-5x^{2}+3x$", "\item $8x^{4}+2x^{3}-1$", "\item $-3x^{3}+2x+4$" ] | |
*/ | |
var x = [0,3,-5,1], | |
y = [-1,0,0,2,8], | |
z = [4,2,0,-3], | |
latex = polyTexMe([x, y, z]); | |
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Demonstration