93 lines
1.9 KiB
C
93 lines
1.9 KiB
C
/*
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* shape.c - Toolpaths for basic shapes
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*
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* Written 2010-2011 by Werner Almesberger
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* Copyright 2010-2011 Werner Almesberger
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2 of the License, or
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* (at your option) any later version.
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*/
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#include <math.h>
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#include "path.h"
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#include "shape.h"
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static double arc2angle(double arc, double r)
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{
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return acos(1-arc*arc/(r*r)/2);
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}
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static void half_circle(struct path *path,
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double cx, double cy, double rx, double ry, double z, double s)
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{
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double m[4];
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double x = rx, y = ry, tmp;
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double a;
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m[0] = cos(s);
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m[1] = -sin(s);
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m[2] = -m[1];
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m[3] = m[0];
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for (a = 0; a < M_PI; a += s) {
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path_add(path, cx+x, cy+y, z);
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tmp = x*m[0]+y*m[1];
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y = x*m[2]+y*m[3];
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x = tmp;
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}
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path_add(path, cx-rx, cy-ry, z);
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}
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struct path *slot(double xa, double ya, double xb, double yb, double z,
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double sr, double tr, double step, const char *id)
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{
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struct path *path;
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double dx = xb-xa;
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double dy = yb-ya;
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double s = arc2angle(step, sr);
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double nx, ny;
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double f;
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path = path_new(tr, id);
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if (sr <= tr) {
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path_add(path, xa, ya, z);
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path_add(path, xb, yb, z);
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} else {
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f = (sr-tr)/hypot(dx, dy);
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nx = -dy*f;
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ny = dx*f;
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half_circle(path, xa, ya, nx, ny, z, s);
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half_circle(path, xb, yb, -nx, -ny, z, s);
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path_add(path, xa+nx, ya+ny, z);
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}
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return path;
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}
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struct path *circle(double cx, double cy, double cz, double cr, double tr,
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double step, const char *id)
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{
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struct path *path;
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double s = arc2angle(step, cr);
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double a;
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path = path_new(tr, id);
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if (cr <= tr) {
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path_add(path, cx, cy, cz);
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} else {
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for (a = 0; a < 2*M_PI; a += s)
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path_add(path,
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cx+(cr-tr)*cos(a), cy+(cr-tr)*sin(a), cz);
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path_add(path, cx+(cr-tr), cy, cz);
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}
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return path;
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}
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