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loop2 displays "x->(x^2+a) mod n" graph using Graphviz neato command and Gnome image viewer
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#!/bin/bash | |
#if 0 | |
if [ $0 -nt /tmp/$0 ]; then gcc -xc -Wall -Wextra <(tail -n+2 $0) -o /tmp/$0; fi | |
/tmp/$0 $1 $2 > $1_$2.dot | |
neato -Tsvg $1_$2.dot > $1_$2.svg | |
eog $1_$2.svg | |
exit | |
#endif | |
#include <stdio.h> | |
#include <stdlib.h> | |
#include <assert.h> | |
unsigned dif(unsigned a, unsigned b) | |
{ | |
return (a<b) ? b-a : a-b; | |
} | |
unsigned gcd(unsigned a, unsigned b) | |
{ | |
if (a<b) | |
{ | |
if (a==0) return b; else b%=a; | |
} | |
while (b!=0) | |
{ | |
a%=b; | |
if (a==0) return b; | |
b%=a; | |
} | |
return a; | |
} | |
char nbsp[3] = { 0xC2, 0xA0, 0x00 }; | |
char buf[10][100]; | |
unsigned int buc=0; | |
char *lab(unsigned u) | |
{ | |
if (++buc==10) buc=0; | |
sprintf(buf[buc], "\"%s%u%s\"", nbsp, u, nbsp); | |
return buf[buc]; | |
} | |
int main(int argc, char *argv[]) | |
{ | |
unsigned n, a, x; | |
assert(argc==3); | |
n = atoi(argv[1]); | |
a = atoi(argv[2]); | |
printf("digraph D {\n"); | |
printf("size=\"8 8\"\n"); | |
for(x=0; x<n; ++x) | |
if (gcd(dif(x, n-x), n) > 1) | |
printf("%s [shape=box]\n", lab(x)); | |
for(x=0; x<n; ++x) | |
printf("%s->%s\n", lab(x), lab((x*x+a)%n)); | |
printf("}\n"); | |
} |
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https://www.raspberrypi.org/forums/viewtopic.php?f=33&t=312344&p=1888647#p1888647
Executing this command ...
... displays this graph (with installed "graphviz" package):