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Diffstat (limited to 'libs/cairo-1.16.0/src/cairo-slope.c')
-rw-r--r-- | libs/cairo-1.16.0/src/cairo-slope.c | 99 |
1 files changed, 99 insertions, 0 deletions
diff --git a/libs/cairo-1.16.0/src/cairo-slope.c b/libs/cairo-1.16.0/src/cairo-slope.c new file mode 100644 index 0000000..cc5f30c --- /dev/null +++ b/libs/cairo-1.16.0/src/cairo-slope.c @@ -0,0 +1,99 @@ +/* cairo - a vector graphics library with display and print output + * + * Copyright © 2002 University of Southern California + * + * This library is free software; you can redistribute it and/or + * modify it either under the terms of the GNU Lesser General Public + * License version 2.1 as published by the Free Software Foundation + * (the "LGPL") or, at your option, under the terms of the Mozilla + * Public License Version 1.1 (the "MPL"). If you do not alter this + * notice, a recipient may use your version of this file under either + * the MPL or the LGPL. + * + * You should have received a copy of the LGPL along with this library + * in the file COPYING-LGPL-2.1; if not, write to the Free Software + * Foundation, Inc., 51 Franklin Street, Suite 500, Boston, MA 02110-1335, USA + * You should have received a copy of the MPL along with this library + * in the file COPYING-MPL-1.1 + * + * The contents of this file are subject to the Mozilla Public License + * Version 1.1 (the "License"); you may not use this file except in + * compliance with the License. You may obtain a copy of the License at + * http://www.mozilla.org/MPL/ + * + * This software is distributed on an "AS IS" basis, WITHOUT WARRANTY + * OF ANY KIND, either express or implied. See the LGPL or the MPL for + * the specific language governing rights and limitations. + * + * The Original Code is the cairo graphics library. + * + * The Initial Developer of the Original Code is University of Southern + * California. + * + * Contributor(s): + * Carl D. Worth <cworth@cworth.org> + */ + +#include "cairoint.h" + +#include "cairo-slope-private.h" + +/* Compare two slopes. Slope angles begin at 0 in the direction of the + positive X axis and increase in the direction of the positive Y + axis. + + This function always compares the slope vectors based on the + smaller angular difference between them, (that is based on an + angular difference that is strictly less than pi). To break ties + when comparing slope vectors with an angular difference of exactly + pi, the vector with a positive dx (or positive dy if dx's are zero) + is considered to be more positive than the other. + + Also, all slope vectors with both dx==0 and dy==0 are considered + equal and more positive than any non-zero vector. + + < 0 => a less positive than b + == 0 => a equal to b + > 0 => a more positive than b +*/ +int +_cairo_slope_compare (const cairo_slope_t *a, const cairo_slope_t *b) +{ + cairo_int64_t ady_bdx = _cairo_int32x32_64_mul (a->dy, b->dx); + cairo_int64_t bdy_adx = _cairo_int32x32_64_mul (b->dy, a->dx); + int cmp; + + cmp = _cairo_int64_cmp (ady_bdx, bdy_adx); + if (cmp) + return cmp; + + /* special-case zero vectors. the intended logic here is: + * zero vectors all compare equal, and more positive than any + * non-zero vector. + */ + if (a->dx == 0 && a->dy == 0 && b->dx == 0 && b->dy ==0) + return 0; + if (a->dx == 0 && a->dy == 0) + return 1; + if (b->dx == 0 && b->dy ==0) + return -1; + + /* Finally, we're looking at two vectors that are either equal or + * that differ by exactly pi. We can identify the "differ by pi" + * case by looking for a change in sign in either dx or dy between + * a and b. + * + * And in these cases, we eliminate the ambiguity by reducing the angle + * of b by an infinitesimally small amount, (that is, 'a' will + * always be considered less than 'b'). + */ + if ((a->dx ^ b->dx) < 0 || (a->dy ^ b->dy) < 0) { + if (a->dx > 0 || (a->dx == 0 && a->dy > 0)) + return -1; + else + return +1; + } + + /* Finally, for identical slopes, we obviously return 0. */ + return 0; +} |