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| Keywords: Rational Representation.svg en Representation of rational numbers Q as pairs of integers equivalent pairs on the same line fr Représentation des nombres rationnels comme des paires de nombres entiers les paires équivalentes sur le même ligne own TomT0m 2015-04-01 File RationalRepresentation pdf Source of the file in the en asymptote graphic programming language fr Utilisateur TomT0m/RationalRepresentation asy <source lang cpp > import settings; import graph; import math; pdfviewer /usr/bin/evince ; psviewer evince ; // parameters int num 10; int gcd int a int b if b 0 return a; else return gcd b a-quotient a b b ; bool isPrimeWith int a int b return gcd a b 1; pen color_rational int x int y if y 0 return white; else real ratio x /y; return rgb 0 5 1+ratio 0 7 1+ratio 0 3 1-ratio ; unitsize 2 2 ; picture damier; // unitsize damier 1 1 ; size damier 5000 5000 -100 -100 100 100 ; dot damier 0 0 ; dot damier -num -num invisible ; dot damier num num invisible ; for int x -num; x< num;++x for int y -num; y< num;++y pen p color_rational x y ; if y>0 pair far; if isPrimeWith abs x abs y far x 100 y 100 ; drawline damier 0 0 far p ; if y 0 dot damier x y ; dot damier x y rgb 0 9 0 9 0 9 ; else dot damier x y p ; dot damier 0 0 ; dot damier 0 0 rgb 0 9 0 9 0 9 ; add damier fit 0 0 ; // drawing the equivalent classes </source> Construction of rational numbers cc-by-sa-4 0 Uploaded with UploadWizard | ||||
