From fd57bd5120cf3d996cc32ced8e99b0f2eff01ffa Mon Sep 17 00:00:00 2001 From: josch Date: Fri, 28 Jun 2013 09:09:55 +0200 Subject: [PATCH] add anti aliasing --- Makefile | 1 + colors.h | 835 +++++++++++++++++++++++++++++++++++++++++++++++++ doubledouble.h | 4 + mandel_dd_aa.c | 200 ++++++++++++ 4 files changed, 1040 insertions(+) create mode 100644 colors.h create mode 100644 mandel_dd_aa.c diff --git a/Makefile b/Makefile index 32eb501..562497c 100644 --- a/Makefile +++ b/Makefile @@ -3,3 +3,4 @@ all: gcc -O3 -Wall -lmpfr -lm mandel_mpfr.c -o mandel_mpfr gcc -O3 -Wall -lm mandel.c -o mandel gcc -O3 -Wall -lm mandel_dd.c -o mandel_dd + gcc -O3 -Wall -lm mandel_dd_aa.c -o mandel_dd_aa diff --git a/colors.h b/colors.h new file mode 100644 index 0000000..22b7e14 --- /dev/null +++ b/colors.h @@ -0,0 +1,835 @@ +#define GRADIENTLENGTH 4990 + +unsigned char colors[GRADIENTLENGTH][3] ={ + {0x0e, 0x0b, 0x52}, {0x0e, 0x0b, 0x52}, {0x0e, 0x0b, 0x52}, {0x0e, 0x0b, 0x52}, {0x0e, 0x0b, 0x52}, {0x0e, 0x0b, 0x52}, + {0x0e, 0x0b, 0x52}, {0x0e, 0x0b, 0x52}, {0x0e, 0x0b, 0x52}, {0x0e, 0x0b, 0x52}, {0x0e, 0x0b, 0x53}, {0x0e, 0x0b, 0x53}, + {0x0e, 0x0b, 0x53}, {0x0e, 0x0b, 0x53}, {0x0e, 0x0b, 0x53}, {0x0e, 0x0b, 0x53}, {0x0e, 0x0b, 0x53}, {0x0e, 0x0c, 0x53}, + {0x0e, 0x0c, 0x53}, {0x0e, 0x0c, 0x53}, {0x0e, 0x0c, 0x53}, {0x0e, 0x0c, 0x53}, {0x0e, 0x0c, 0x53}, {0x0e, 0x0c, 0x53}, + {0x0e, 0x0c, 0x53}, {0x0e, 0x0c, 0x53}, {0x0e, 0x0c, 0x53}, {0x0e, 0x0c, 0x53}, {0x0e, 0x0c, 0x53}, {0x0e, 0x0c, 0x54}, + {0x0e, 0x0c, 0x54}, {0x0e, 0x0c, 0x54}, {0x0e, 0x0c, 0x54}, {0x0e, 0x0c, 0x54}, {0x0e, 0x0c, 0x54}, {0x0e, 0x0c, 0x54}, + {0x0e, 0x0c, 0x54}, {0x0e, 0x0c, 0x54}, {0x0e, 0x0c, 0x54}, {0x0e, 0x0c, 0x54}, {0x0e, 0x0c, 0x54}, {0x0e, 0x0c, 0x54}, + {0x0e, 0x0c, 0x54}, {0x0e, 0x0c, 0x54}, {0x0e, 0x0c, 0x54}, {0x0e, 0x0c, 0x54}, {0x0e, 0x0c, 0x54}, {0x0e, 0x0c, 0x54}, + {0x0e, 0x0c, 0x55}, {0x0e, 0x0d, 0x55}, {0x0e, 0x0d, 0x55}, {0x0e, 0x0d, 0x55}, {0x0e, 0x0d, 0x55}, {0x0e, 0x0d, 0x55}, + {0x0e, 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0x07, 0x3a}, {0x24, 0x07, 0x3a}, {0x24, 0x07, 0x3a}, {0x24, 0x07, 0x3a}, + {0x24, 0x07, 0x3a}, {0x23, 0x08, 0x3b}, {0x23, 0x08, 0x3b}, {0x23, 0x08, 0x3b}, {0x23, 0x08, 0x3b}, {0x23, 0x08, 0x3b}, + {0x23, 0x08, 0x3b}, {0x22, 0x08, 0x3c}, {0x22, 0x08, 0x3c}, {0x22, 0x08, 0x3c}, {0x22, 0x08, 0x3c}, {0x22, 0x08, 0x3c}, + {0x22, 0x08, 0x3d}, {0x21, 0x08, 0x3d}, {0x21, 0x08, 0x3d}, {0x21, 0x08, 0x3d}, {0x21, 0x08, 0x3d}, {0x21, 0x08, 0x3d}, + {0x21, 0x08, 0x3e}, {0x20, 0x08, 0x3e}, {0x20, 0x08, 0x3e}, {0x20, 0x08, 0x3e}, {0x20, 0x08, 0x3e}, {0x20, 0x08, 0x3f}, + {0x20, 0x08, 0x3f}, {0x1f, 0x08, 0x3f}, {0x1f, 0x08, 0x3f}, {0x1f, 0x08, 0x3f}, {0x1f, 0x08, 0x3f}, {0x1f, 0x08, 0x40}, + {0x1f, 0x08, 0x40}, {0x1e, 0x08, 0x40}, {0x1e, 0x08, 0x40}, {0x1e, 0x08, 0x40}, {0x1e, 0x08, 0x41}, {0x1e, 0x08, 0x41}, + {0x1e, 0x08, 0x41}, {0x1d, 0x08, 0x41}, {0x1d, 0x09, 0x41}, {0x1d, 0x09, 0x41}, {0x1d, 0x09, 0x42}, {0x1d, 0x09, 0x42}, + {0x1d, 0x09, 0x42}, {0x1c, 0x09, 0x42}, {0x1c, 0x09, 0x42}, {0x1c, 0x09, 0x43}, {0x1c, 0x09, 0x43}, {0x1c, 0x09, 0x43}, + {0x1c, 0x09, 0x43}, {0x1b, 0x09, 0x43}, {0x1b, 0x09, 0x43}, {0x1b, 0x09, 0x44}, {0x1b, 0x09, 0x44}, {0x1b, 0x09, 0x44}, + {0x1b, 0x09, 0x44}, {0x1a, 0x09, 0x44}, {0x1a, 0x09, 0x45}, {0x1a, 0x09, 0x45}, {0x1a, 0x09, 0x45}, {0x1a, 0x09, 0x45}, + {0x1a, 0x09, 0x45}, {0x19, 0x09, 0x46}, {0x19, 0x09, 0x46}, {0x19, 0x09, 0x46}, {0x19, 0x09, 0x46}, {0x19, 0x09, 0x46}, + {0x19, 0x09, 0x46}, {0x18, 0x09, 0x47}, {0x18, 0x09, 0x47}, {0x18, 0x09, 0x47}, {0x18, 0x09, 0x47}, {0x18, 0x09, 0x47}, + {0x18, 0x09, 0x48}, {0x17, 0x09, 0x48}, {0x17, 0x09, 0x48}, {0x17, 0x0a, 0x48}, {0x17, 0x0a, 0x48}, {0x17, 0x0a, 0x48}, + {0x17, 0x0a, 0x49}, {0x16, 0x0a, 0x49}, {0x16, 0x0a, 0x49}, {0x16, 0x0a, 0x49}, {0x16, 0x0a, 0x49}, {0x16, 0x0a, 0x4a}, + {0x16, 0x0a, 0x4a}, {0x15, 0x0a, 0x4a}, {0x15, 0x0a, 0x4a}, {0x15, 0x0a, 0x4a}, {0x15, 0x0a, 0x4a}, {0x15, 0x0a, 0x4b}, + {0x15, 0x0a, 0x4b}, {0x14, 0x0a, 0x4b}, {0x14, 0x0a, 0x4b}, {0x14, 0x0a, 0x4b}, {0x14, 0x0a, 0x4c}, {0x14, 0x0a, 0x4c}, + {0x14, 0x0a, 0x4c}, {0x13, 0x0a, 0x4c}, {0x13, 0x0a, 0x4c}, {0x13, 0x0a, 0x4c}, {0x13, 0x0a, 0x4d}, {0x13, 0x0a, 0x4d}, + {0x13, 0x0a, 0x4d}, {0x12, 0x0a, 0x4d}, {0x12, 0x0a, 0x4d}, {0x12, 0x0a, 0x4e}, {0x12, 0x0a, 0x4e}, {0x12, 0x0a, 0x4e}, + {0x12, 0x0a, 0x4e}, {0x11, 0x0a, 0x4e}, {0x11, 0x0a, 0x4f}, {0x11, 0x0b, 0x4f}, {0x11, 0x0b, 0x4f}, {0x11, 0x0b, 0x4f}, + {0x11, 0x0b, 0x4f}, {0x10, 0x0b, 0x4f}, {0x10, 0x0b, 0x50}, {0x10, 0x0b, 0x50}, {0x10, 0x0b, 0x50}, {0x10, 0x0b, 0x50}, + {0x10, 0x0b, 0x50}, {0x0f, 0x0b, 0x51}, {0x0f, 0x0b, 0x51}, {0x0f, 0x0b, 0x51}, {0x0f, 0x0b, 0x51}, {0x0f, 0x0b, 0x51}, + {0x0f, 0x0b, 0x51}, {0x0e, 0x0b, 0x52}, {0x0e, 0x0b, 0x52}, {0x0e, 0x0b, 0x52}}; diff --git a/doubledouble.h b/doubledouble.h index ec71d63..010d735 100644 --- a/doubledouble.h +++ b/doubledouble.h @@ -118,6 +118,10 @@ inline DoubleDouble dd_mul_ui(DoubleDouble num1, unsigned int num2) { return dd_mul(num1, dd_new(num2, 0)); } +inline DoubleDouble dd_mul_d(DoubleDouble num1, double num2) { + return dd_mul(num1, dd_new(num2, 0)); +} + inline DoubleDouble dd_sub(DoubleDouble num1, DoubleDouble num2) { double a, b, c, d, e, f, g; g = num1.lo - num2.lo; diff --git a/mandel_dd_aa.c b/mandel_dd_aa.c new file mode 100644 index 0000000..8845937 --- /dev/null +++ b/mandel_dd_aa.c @@ -0,0 +1,200 @@ +#include "colors.h" +#include +#include +#include +#include +#include +#include "doubledouble.h" + +DoubleDouble x2, y2, x0d, y1d; +double bailout = 4; // the distance must not be greater than 2 (4 = 2*2) +double eps = 1e-17; + +void calculate_pixel(double x, double y, unsigned long *lastit, double *zxd, double *zyd, bool *inside) { + DoubleDouble px, py, zx, zy, xx, yy; + //px = x*x0d + x2; + px = dd_mul_d(x0d, x); + px = dd_add(px, x2); + //py = y*y1d + y2; + py = dd_mul_d(y1d, y); + py = dd_add(py, y2); + // no Main bulb or Cardoid check to be faster + zx = dd_new(px.hi, px.lo); + zy = dd_new(py.hi, py.lo); + unsigned long i; + *inside = true; + int check = 3; + int whenupdate = 10; + double hx, hy, d; + hx = 0; + hy = 0; + //for (i = 1; i <= maxiter; i++) { + for (i = 1; i <= 50000; i++) { + //xx = zx * zx; + xx = dd_sqr(zx); + //yy = zy * zy; + yy = dd_sqr(zy); + //if (xx + yy > bailout) { + if (xx.hi + yy.hi > bailout) { + *inside = false; + break; + } + // iterate + //zy = 2 * zx * zy + py; + //zx = dd_mul_ui(zx, 2); + //zy = dd_mul(zx, zy); + zy = dd_add(dd_mul2(zx, zy), py); + //zx = xx - yy + px; + zx = dd_add(dd_sub(xx, yy), px); + + // period checking + d = zx.hi - hx; + if (d > 0.0 ? d < eps : d > -eps) { + d = zy.hi - hy; + if (d > 0.0 ? d < eps : d > -eps) { + // Period found. + break; + } + } + if ((i & check) == 0) { + if (--whenupdate == 0) { + whenupdate = 10; + check <<= 1; + check++; + } + // period = 0; + hx = zx.hi; + hy = zy.hi; + } + } + + *lastit = i; + *zxd = zx.hi; + *zyd = zy.hi; +} + +int main(int argc, char **argv) { + if (argc != 6) { + fprintf(stderr, "usage: %s width height centerx centery magnification", argv[0]); + return 1; + } + DoubleDouble temp1; + double Q1LOG2 = 1.44269504088896340735992468100189213742664595415299; + double LOG2 = 0.69314718055994530941723212145817656807550013436026; + unsigned int width = atoi(argv[1]); + unsigned int height = atoi(argv[2]); + unsigned char* tmpimage = malloc(width*height*3); + unsigned char* finalimage = malloc(width*height*3); + unsigned int x, y; + DoubleDouble centerx, centery; + centerx = dd_new(-0.7436438870371587, -3.628952515063387E-17); + centery = dd_new(0.13182590420531198, -1.2892807754956678E-17); + double logLogBailout = log(log(bailout)); + DoubleDouble magn = dd_new(strtod(argv[5], NULL), 0); + // maxiter = width * sqrt(magn); + temp1 = dd_sqrt(magn); + unsigned long maxiter = width * dd_get_ui(temp1); + // x0d = 4 / magn / width; + x0d = dd_ui_div(4, magn); + x0d = dd_div_ui(x0d, width); + // x2 = -2 / magn + centerx; + x2 = dd_si_div(-2, magn); + x2 = dd_add(x2, centerx); + // y1d = -4 / magn / width; + y1d = dd_si_div(-4, magn); + y1d = dd_div_ui(y1d, width); + // y2 = 2 / magn * height / width + centery; + y2 = dd_ui_div(2, magn); + temp1 = dd_new(height, 0); + temp1 = dd_div_ui(temp1, width); + y2 = dd_mul(y2, temp1); + y2 = dd_add(y2, centery); + unsigned int idx; + unsigned int imgidx = 0; + unsigned long lastit; + double zxd, zyd; + bool inside; + for (y = 0; y < height; y++) { + for (x = 0; x < width; x++) { + fprintf(stderr, "\r%f %%", (float)imgidx/(width*height*3)*100); + calculate_pixel(x, y, &lastit, &zxd, &zyd, &inside); + + if (inside) { + tmpimage[imgidx++] = 0; + tmpimage[imgidx++] = 0; + tmpimage[imgidx++] = 0; + } else { + double r = sqrt(zxd*zxd + zyd*zyd); + double c = lastit - 1.28 + (logLogBailout - log(log(r))) * Q1LOG2; + idx = fmod((log(c/64+1)/LOG2+0.45), 1)*GRADIENTLENGTH + 0.5; + tmpimage[imgidx++] = colors[idx][0]; + tmpimage[imgidx++] = colors[idx][1]; + tmpimage[imgidx++] = colors[idx][2]; + } + } + } + + imgidx = 0; + int finalidx = 0; + int aafactor = 5; + int aareach = aafactor / 2; + int aaarea = aafactor * aafactor; + double aafactorinv = 1.0/aafactor; + int xi, yi; + for (y = 0; y < height; y++) { + for (x = 0; x < width; x++) { + fprintf(stderr, "\r%f %%", (float)imgidx/(width*height*3)*100); + unsigned int val1 = tmpimage[imgidx++]; + unsigned int val2 = tmpimage[imgidx++]; + unsigned int val3 = tmpimage[imgidx++]; + // if pixel is neither at the border nor are its four neighbors + // different, copy value and continue + if (x != 0 && y != 0 && x != width -1 && y != height -1 + && tmpimage[(y+1)*width*3+x*3+0] == val1 + && tmpimage[(y+1)*width*3+x*3+1] == val2 + && tmpimage[(y+1)*width*3+x*3+2] == val3 + && tmpimage[(y-1)*width*3+x*3+0] == val1 + && tmpimage[(y-1)*width*3+x*3+1] == val2 + && tmpimage[(y-1)*width*3+x*3+2] == val3 + && tmpimage[y*width*3+(x+1)*3+0] == val1 + && tmpimage[y*width*3+(x+1)*3+1] == val2 + && tmpimage[y*width*3+(x+1)*3+2] == val3 + && tmpimage[y*width*3+(x-1)*3+0] == val1 + && tmpimage[y*width*3+(x-1)*3+1] == val2 + && tmpimage[y*width*3+(x-1)*3+2] == val3) { + finalimage[finalidx++] = val1; + finalimage[finalidx++] = val2; + finalimage[finalidx++] = val3; + continue; + } + + // otherwise do antialiasing + for (xi = -aareach; xi <= aareach; xi++) { + double dx = xi*aafactorinv; + for (yi = -aareach; yi <= aareach; yi++) { + double dy = yi*aafactorinv; + if ((xi | yi) != 0) { + calculate_pixel(x+dx, y+dy, &lastit, &zxd, &zyd, &inside); + if (!inside) { + double r = sqrt(zxd*zxd + zyd*zyd); + double c = lastit - 1.28 + (logLogBailout - log(log(r))) * Q1LOG2; + idx = fmod((log(c/64+1)/LOG2+0.45), 1)*GRADIENTLENGTH + 0.5; + val1 += colors[idx][0]; + val2 += colors[idx][1]; + val3 += colors[idx][2]; + } + } + } + } + finalimage[finalidx++] = val1/aaarea; + finalimage[finalidx++] = val2/aaarea; + finalimage[finalidx++] = val3/aaarea; + } + } + // write out image + printf("P6 %d %d 255\n", width, height); + fwrite(finalimage, 1, width*height*3, stdout); + fprintf(stderr, "\n"); + + return 0; +}