93 lines
2.1 KiB
C
93 lines
2.1 KiB
C
#include <stdio.h>
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#include <math.h>
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#include <stdlib.h>
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#ifndef M_PI
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#define M_PI 3.14159265358979323846
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#endif
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typedef void(*function_t)(float*,int, int, int);
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void mobius(float *d_surface, int i, int j, int grid_size)
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{
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const float width = 0.5;
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float u = (2*M_PI) * ((float)i/grid_size );
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float v = (2*width) * ((float)j/grid_size ) - width;
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d_surface[0] = cos(u) + v * cos(u / 2) * cos(u);
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d_surface[1] = sin(u) + v * cos(u / 2) * sin(u);
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d_surface[2] = v * sin(u / 2);
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}
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void toro(float *d_surface, int i, int j, int grid_size)
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{
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float u = (2*M_PI) * ((float)i/grid_size );
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float v = (2*M_PI) * ((float)j/grid_size );
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d_surface[0] = (1 + 0.5*cos(v))*cos(u);
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d_surface[1] = (1 + 0.5*cos(v))*sin(u);
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d_surface[2] = 0.5*sin(v);
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}
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void klein(float *d_surface, int i, int j, int grid_size)
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{
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float u = (2*M_PI) * ((float)i/grid_size );
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float v = (2*M_PI) * ((float)j/grid_size );
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d_surface[0] = (0.5*cos(v) + 0.5) * cos(u);
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d_surface[1] = (0.5*cos(v) + 0.5) * sin(u);
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d_surface[2] = sin(v) * cos(u/2);
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//d_surface[2] = sin(v)*sin(u/2);
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}
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float * generate_surface(int grid_size)
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{
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long size = grid_size*grid_size*2*3*3*2;
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function_t f = klein;
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float * d_surface;
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int k=0;
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d_surface = malloc((size+1)*sizeof(float));
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d_surface[0] = size;
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for (int i = 0; i < grid_size; i++)
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{
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for (int j = 0; j < grid_size; j++)
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{
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// triangle 1, front
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f(&d_surface[k + 1], i, j, grid_size);
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k+=3;
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f(&d_surface[k + 1], i + 1, j, grid_size);
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k+=3;
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f(&d_surface[k + 1], i + 1, j + 1, grid_size);
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k+=3;
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// triangle 1, back
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f(&d_surface[k + 1], i + 1, j + 1, grid_size);
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k+=3;
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f(&d_surface[k + 1], i + 1, j, grid_size);
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k+=3;
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f(&d_surface[k + 1], i, j, grid_size);
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k+=3;
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// triangle 2, font
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f(&d_surface[k + 1], i, j, grid_size);
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k+=3;
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f(&d_surface[k + 1], i, j + 1, grid_size);
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k+=3;
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f(&d_surface[k + 1], i + 1, j + 1, grid_size);
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k+=3;
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// triangle 2, back
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f(&d_surface[k + 1], i + 1, j + 1, grid_size);
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k+=3;
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f(&d_surface[k + 1], i, j + 1, grid_size);
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k+=3;
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f(&d_surface[k + 1], i, j, grid_size);
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k+=3;
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}
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}
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return d_surface;
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}
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