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Generates a 'pi trumpet' with circles coloured by the base 12 digits of Pi, circles shrinking as you go along the series.
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| /* C99 so compile with 'c99 -o pi pi.c' | |
| /* From http://www.codecodex.com/wiki/Calculate_digits_of_pi#C */ | |
| #include "stdio.h" | |
| #include "stdlib.h" | |
| //now generates in base 12... | |
| #define SCALE 12 //4096 //8*8*8*8 | |
| #define ARRINIT 2 //1024 | |
| void pi_digits(int digits) { | |
| int carry = 0; | |
| int digit; | |
| float radius=250; float X=500, Y=500; | |
| int arr[digits + 1]; | |
| for (int i = 0; i <= digits; ++i) | |
| arr[i] = ARRINIT; | |
| for (int i = digits; i > 0; i-= 14) { | |
| int sum = 0; | |
| for (int j = i; j > 0; --j) { | |
| sum = sum * j + SCALE * arr[j]; | |
| arr[j] = sum % (j * 2 - 1); | |
| sum /= j * 2 - 1; | |
| } | |
| printf(" <circle cx=\"%f\" cy=\"%f\" r=\"%f\" fill=\"",X,Y,radius); | |
| // Colours: http://www.rapidtables.com/web/color/Web_Color.htm | |
| digit=carry + sum / SCALE; | |
| switch(digit){ | |
| case 0: printf("#FF3333"); break; | |
| case 1: printf("#FF9933"); break; | |
| case 2: printf("#FFFF33"); break; | |
| case 3: printf("#99FF33"); break; | |
| case 4: printf("#33FF33"); break; | |
| case 5: printf("#33FF99"); break; | |
| case 6: printf("#33FFFF"); break; | |
| case 7: printf("#3399FF"); break; | |
| case 8: printf("#3333FF"); break; | |
| case 9: printf("#9933FF"); break; | |
| case 10: printf("#FF33FF"); break; | |
| case 11: printf("#FF3399"); break; | |
| } | |
| printf("\"/>\n"); | |
| //printf("%01X", carry + sum / SCALE); | |
| radius/=1.02; | |
| X+=radius/20; | |
| //X+=radius*0.005*(digit-5.5); | |
| //Y-=radius*0.005*(digit-5.5); | |
| carry = sum % SCALE; | |
| } | |
| } | |
| int main(int argc, char** argv) { | |
| int n = argc == 2 ? atoi(argv[1]) : 10000; | |
| printf("<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n"); | |
| pi_digits(n); | |
| printf("</svg>\n"); | |
| return 0; | |
| } |
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| <circle cx="532.455872" cy="359.026611" r="300.000000" fill="#33FF99"/> | |
| <circle cx="512.187683" cy="323.248260" r="291.262146" fill="#FF3399"/> | |
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| <circle cx="400.000000" cy="400.000061" r="0.000000" fill="#99FF33"/> | |
| <circle cx="400.000031" cy="400.000061" r="0.000000" fill="#FF33FF"/> | |
| <circle cx="400.000031" cy="400.000061" r="0.000000" fill="#99FF33"/> | |
| <circle cx="400.000061" cy="400.000031" r="0.000000" fill="#FF33FF"/> | |
| <circle cx="400.000061" cy="400.000031" r="0.000000" fill="#33FFFF"/> | |
| <circle cx="400.000061" cy="400.000000" r="0.000000" fill="#FF3399"/> | |
| <circle cx="400.000061" cy="400.000000" r="0.000000" fill="#33FFFF"/> | |
| <circle cx="400.000061" cy="399.999969" r="0.000000" fill="#FF3333"/> | |
| <circle cx="400.000031" cy="399.999939" r="0.000000" fill="#3333FF"/> | |
| <circle cx="400.000031" cy="399.999939" r="0.000000" fill="#33FF33"/> | |
| <circle cx="400.000000" cy="399.999939" r="0.000000" fill="#FF33FF"/> | |
| </svg> |
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| /* C99 so compile/run with c99 -o pi pi.c -lm && ./pi > pi.svg | |
| /* From http://www.codecodex.com/wiki/Calculate_digits_of_pi#C */ | |
| #include "stdio.h" | |
| #include "stdlib.h" | |
| #include "math.h" | |
| //now generates in base 12... | |
| #define SCALE 6 //4096 //8*8*8*8 | |
| #define ARRINIT 2 //1024 | |
| //varying base checks against generator: | |
| //http://www.virtuescience.com/pi-in-other-bases.html | |
| void pi_digits(int digits) { | |
| int carry = 0; | |
| int digit,colour=1,delta; | |
| float radius=300; float X=500, Y=500; | |
| float spiraltheta=0.0, spiralradius=300; | |
| int arr[digits + 1]; | |
| for (int i = 0; i <= digits; ++i) | |
| arr[i] = ARRINIT; | |
| for (int i = digits; i > 0; i-= 14) { | |
| int sum = 0; | |
| for (int j = i; j > 0; --j) { | |
| sum = sum * j + SCALE * arr[j]; | |
| arr[j] = sum % (j * 2 - 1); | |
| sum /= j * 2 - 1; | |
| } | |
| X-=400; Y-=400; | |
| spiralradius=hypot(X,Y)/1.02; | |
| spiraltheta=spiraltheta-0.3; | |
| X=spiralradius*cos(spiraltheta); | |
| Y=spiralradius*sin(spiraltheta); | |
| X+=400; Y+=400; | |
| printf(" <circle cx=\"%f\" cy=\"%f\" r=\"%f\" fill=\"",X,Y,radius); | |
| digit=carry + sum / SCALE; | |
| //colour wheel info: | |
| //http://msdn.microsoft.com/en-us/library/bb263947(v=vs.85).aspx | |
| //deltas are which direction to jump on 12-member colourwheel | |
| if (digit==0) delta=6; //Compl | |
| if (digit==1) delta=+5; //Split Compl | |
| if (digit==2) delta=-5; //Split Compl | |
| if (digit==3) delta=+4; //Triad | |
| if (digit==4) delta=-4; //Triad | |
| if (digit==5) delta=1; //similar | |
| colour=(colour+delta+12)%12; | |
| // fprintf(stderr,"%d %d %d \t", digit,delta,colour); | |
| fprintf(stderr,"%d ",digit); | |
| //colours from here: http://www.rapidtables.com/web/color/Web_Color.htm | |
| switch(colour){ | |
| case 0: printf("#FF3333"); break; | |
| case 1: printf("#FF9933"); break; | |
| case 2: printf("#FFFF33"); break; | |
| case 3: printf("#99FF33"); break; | |
| case 4: printf("#33FF33"); break; | |
| case 5: printf("#33FF99"); break; | |
| case 6: printf("#33FFFF"); break; | |
| case 7: printf("#3399FF"); break; | |
| case 8: printf("#3333FF"); break; | |
| case 9: printf("#9933FF"); break; | |
| case 10: printf("#FF33FF"); break; | |
| case 11: printf("#FF3399"); break; | |
| } | |
| printf("\"/>\n"); | |
| //printf("%01X", carry + sum / SCALE); | |
| radius/=1.03; | |
| //X+=radius/20; | |
| //X+=radius*0.005*(digit-5.5); | |
| //Y-=radius*0.005*(digit-5.5); | |
| carry = sum % SCALE; | |
| } | |
| } | |
| int main(int argc, char** argv) { | |
| int n = argc == 2 ? atoi(argv[1]) : 20000; | |
| printf("<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n"); | |
| pi_digits(n); | |
| printf("</svg>\n"); | |
| return 0; | |
| } |
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