| 1 | /*
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| 2 | * Copyright (c) 2019 Jiri Svoboda
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| 3 | * All rights reserved.
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| 4 | *
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| 5 | * Redistribution and use in source and binary forms, with or without
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| 6 | * modification, are permitted provided that the following conditions
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| 7 | * are met:
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| 8 | *
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| 9 | * - Redistributions of source code must retain the above copyright
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| 10 | * notice, this list of conditions and the following disclaimer.
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| 11 | * - Redistributions in binary form must reproduce the above copyright
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| 12 | * notice, this list of conditions and the following disclaimer in the
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| 13 | * documentation and/or other materials provided with the distribution.
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| 14 | * - The name of the author may not be used to endorse or promote products
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| 15 | * derived from this software without specific prior written permission.
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| 16 | *
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| 17 | * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
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| 18 | * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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| 19 | * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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| 20 | * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
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| 21 | * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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| 22 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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| 23 | * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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| 24 | * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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| 25 | * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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| 26 | * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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| 27 | */
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| 28 |
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| 29 | /** @addtogroup libgfx
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| 30 | * @{
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| 31 | */
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| 32 | /**
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| 33 | * @file Coordinates
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| 34 | */
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| 35 |
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| 36 | #include <gfx/coord.h>
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| 37 | #include <macros.h>
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| 38 | #include <stdbool.h>
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| 39 | #include <stddef.h>
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| 40 |
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| 41 | /** Add two vectors.
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| 42 | *
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| 43 | * @param a First vector
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| 44 | * @param b Second vector
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| 45 | * @param d Destination
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| 46 | */
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| 47 | void gfx_coord2_add(gfx_coord2_t *a, gfx_coord2_t *b, gfx_coord2_t *d)
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| 48 | {
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| 49 | d->x = a->x + b->x;
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| 50 | d->y = a->y + b->y;
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| 51 | }
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| 52 |
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| 53 | /** Subtract two vectors.
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| 54 | *
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| 55 | * @param a First vector
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| 56 | * @param b Second vector
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| 57 | * @param d Destination
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| 58 | */
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| 59 | void gfx_coord2_subtract(gfx_coord2_t *a, gfx_coord2_t *b, gfx_coord2_t *d)
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| 60 | {
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| 61 | d->x = a->x - b->x;
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| 62 | d->y = a->y - b->y;
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| 63 | }
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| 64 |
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| 65 | /** Clip point coordinates to be within a rectangle.
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| 66 | *
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| 67 | * @param a Pixel coordinates
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| 68 | * @param clip Clipping rectangle
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| 69 | * @param d Place to store clipped coordinates
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| 70 | */
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| 71 | void gfx_coord2_clip(gfx_coord2_t *a, gfx_rect_t *clip, gfx_coord2_t *d)
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| 72 | {
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| 73 | gfx_rect_t sclip;
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| 74 | gfx_coord2_t t;
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| 75 |
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| 76 | gfx_rect_points_sort(clip, &sclip);
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| 77 |
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| 78 | t.x = min(a->x, clip->p1.x - 1);
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| 79 | t.y = min(a->y, clip->p1.y - 1);
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| 80 |
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| 81 | d->x = max(clip->p0.x, t.x);
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| 82 | d->y = max(clip->p0.y, t.y);
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| 83 | }
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| 84 |
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| 85 | /** Transform coordinates via rectangle to rectangle projection.
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| 86 | *
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| 87 | * Transform pixel coordinate via a projection that maps one rectangle
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| 88 | * onto another rectangle. The source rectangle must have both dimensions
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| 89 | * greater than one.
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| 90 | *
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| 91 | * @param a Pixel coordinates
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| 92 | * @param srect Source rectangle
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| 93 | * @param drect Destination rectangle
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| 94 | * @param d Place to store resulting coordinates.
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| 95 | */
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| 96 | void gfx_coord2_project(gfx_coord2_t *a, gfx_rect_t *srect, gfx_rect_t *drect,
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| 97 | gfx_coord2_t *d)
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| 98 | {
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| 99 | gfx_rect_t sr;
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| 100 | gfx_rect_t dr;
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| 101 |
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| 102 | gfx_rect_points_sort(srect, &sr);
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| 103 | gfx_rect_points_sort(drect, &dr);
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| 104 |
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| 105 | d->x = dr.p0.x + (a->x - sr.p0.x) * (dr.p1.x - dr.p0.x - 1) /
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| 106 | (sr.p1.x - sr.p0.x - 1);
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| 107 | d->y = dr.p0.y + (a->y - sr.p0.y) * (dr.p1.y - dr.p0.y - 1) /
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| 108 | (sr.p1.y - sr.p0.y - 1);
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| 109 | }
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| 110 |
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| 111 | /** Sort points of a span.
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| 112 | *
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| 113 | * Sort the begin and end points so that the begin point has the lower
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| 114 | * coordinate (i.e. if needed, the span is transposed, if not, it is simply
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| 115 | * copied).
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| 116 | *
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| 117 | * @param s0 Source span start point
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| 118 | * @param s1 Source span end point
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| 119 | * @param d0 Destination span start point
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| 120 | * @param d1 Destination span end point
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| 121 | */
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| 122 | void gfx_span_points_sort(gfx_coord_t s0, gfx_coord_t s1, gfx_coord_t *d0,
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| 123 | gfx_coord_t *d1)
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| 124 | {
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| 125 | if (s0 <= s1) {
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| 126 | *d0 = s0;
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| 127 | *d1 = s1;
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| 128 | } else {
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| 129 | *d0 = s1 + 1;
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| 130 | *d1 = s0 + 1;
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| 131 | }
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| 132 | }
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| 133 |
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| 134 | /** Move (translate) rectangle.
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| 135 | *
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| 136 | * @param trans Translation offset
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| 137 | * @param src Source rectangle
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| 138 | * @param dest Destination rectangle
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| 139 | */
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| 140 | void gfx_rect_translate(gfx_coord2_t *trans, gfx_rect_t *src, gfx_rect_t *dest)
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| 141 | {
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| 142 | gfx_coord2_add(&src->p0, trans, &dest->p0);
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| 143 | gfx_coord2_add(&src->p1, trans, &dest->p1);
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| 144 | }
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| 145 |
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| 146 | /** Reverse move (translate) rectangle.
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| 147 | *
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| 148 | * @param trans Translation offset
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| 149 | * @param src Source rectangle
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| 150 | * @param dest Destination rectangle
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| 151 | */
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| 152 | void gfx_rect_rtranslate(gfx_coord2_t *trans, gfx_rect_t *src, gfx_rect_t *dest)
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| 153 | {
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| 154 | gfx_coord2_subtract(&src->p0, trans, &dest->p0);
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| 155 | gfx_coord2_subtract(&src->p1, trans, &dest->p1);
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| 156 | }
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| 157 |
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| 158 | /** Compute envelope of two rectangles.
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| 159 | *
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| 160 | * Envelope is the minimal rectangle covering all pixels of both rectangles.
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| 161 | *
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| 162 | * @param a First rectangle
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| 163 | * @param b Second rectangle
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| 164 | * @param dest Place to store enveloping rectangle
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| 165 | */
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| 166 | void gfx_rect_envelope(gfx_rect_t *a, gfx_rect_t *b, gfx_rect_t *dest)
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| 167 | {
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| 168 | gfx_rect_t sa, sb;
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| 169 |
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| 170 | if (gfx_rect_is_empty(a)) {
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| 171 | *dest = *b;
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| 172 | return;
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| 173 | }
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| 174 |
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| 175 | if (gfx_rect_is_empty(b)) {
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| 176 | *dest = *a;
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| 177 | return;
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| 178 | }
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| 179 |
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| 180 | /* a and b are both non-empty */
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| 181 |
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| 182 | gfx_rect_points_sort(a, &sa);
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| 183 | gfx_rect_points_sort(b, &sb);
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| 184 |
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| 185 | dest->p0.x = min(sa.p0.x, sb.p0.x);
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| 186 | dest->p0.y = min(sa.p0.y, sb.p0.y);
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| 187 | dest->p1.x = max(sa.p1.x, sb.p1.x);
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| 188 | dest->p1.y = max(sa.p1.y, sb.p1.y);
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| 189 | }
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| 190 |
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| 191 | /** Compute intersection of two rectangles.
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| 192 | *
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| 193 | * If the two rectangles do not intersect, the result will be an empty
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| 194 | * rectangle (check with gfx_rect_is_empty()). The resulting rectangle
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| 195 | * is always sorted. If @a clip is NULL, no clipping is performed.
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| 196 | *
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| 197 | * @param rect Source rectangle
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| 198 | * @param clip Clipping rectangle or @c NULL
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| 199 | * @param dest Place to store clipped rectangle
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| 200 | */
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| 201 | void gfx_rect_clip(gfx_rect_t *rect, gfx_rect_t *clip, gfx_rect_t *dest)
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| 202 | {
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| 203 | gfx_rect_t srect, sclip;
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| 204 |
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| 205 | if (clip == NULL) {
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| 206 | *dest = *rect;
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| 207 | return;
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| 208 | }
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| 209 |
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| 210 | gfx_rect_points_sort(rect, &srect);
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| 211 | gfx_rect_points_sort(clip, &sclip);
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| 212 |
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| 213 | dest->p0.x = min(max(srect.p0.x, sclip.p0.x), sclip.p1.x);
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| 214 | dest->p0.y = min(max(srect.p0.y, sclip.p0.y), sclip.p1.y);
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| 215 | dest->p1.x = max(sclip.p0.x, min(srect.p1.x, sclip.p1.x));
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| 216 | dest->p1.y = max(sclip.p0.y, min(srect.p1.y, sclip.p1.y));
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| 217 | }
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| 218 |
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| 219 | /** Sort points of a rectangle.
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| 220 | *
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| 221 | * Shuffle around coordinates of a rectangle so that p0.x < p1.x and
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| 222 | * p0.y < p0.y.
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| 223 | *
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| 224 | * @param src Source rectangle
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| 225 | * @param dest Destination (sorted) rectangle
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| 226 | */
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| 227 | void gfx_rect_points_sort(gfx_rect_t *src, gfx_rect_t *dest)
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| 228 | {
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| 229 | gfx_span_points_sort(src->p0.x, src->p1.x, &dest->p0.x, &dest->p1.x);
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| 230 | gfx_span_points_sort(src->p0.y, src->p1.y, &dest->p0.y, &dest->p1.y);
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| 231 | }
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| 232 |
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| 233 | /** Determine if rectangle contains no pixels
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| 234 | *
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| 235 | * @param rect Rectangle
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| 236 | * @return @c true iff rectangle contains no pixels
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| 237 | */
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| 238 | bool gfx_rect_is_empty(gfx_rect_t *rect)
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| 239 | {
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| 240 | return rect->p0.x == rect->p1.x || rect->p0.y == rect->p1.y;
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| 241 | }
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| 242 |
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| 243 | /** Determine if two rectangles share any pixels
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| 244 | *
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| 245 | * @param a First rectangle
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| 246 | * @param b Second rectangle
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| 247 | * @return @c true iff rectangles share any pixels
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| 248 | */
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| 249 | bool gfx_rect_is_incident(gfx_rect_t *a, gfx_rect_t *b)
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| 250 | {
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| 251 | gfx_rect_t r;
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| 252 |
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| 253 | gfx_rect_clip(a, b, &r);
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| 254 | return !gfx_rect_is_empty(&r);
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| 255 | }
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| 256 |
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| 257 | /** Return true if rectangle @a a is contained in rectangle @a b.
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| 258 | *
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| 259 | * @param a Inside rectangle
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| 260 | * @param b Outside rectangle
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| 261 | * @return @c true iff @a a is (non-strictly) inside @a b
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| 262 | */
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| 263 | bool gfx_rect_is_inside(gfx_rect_t *a, gfx_rect_t *b)
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| 264 | {
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| 265 | gfx_rect_t sa;
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| 266 | gfx_rect_t sb;
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| 267 |
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| 268 | gfx_rect_points_sort(a, &sa);
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| 269 | gfx_rect_points_sort(b, &sb);
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| 270 |
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| 271 | if (sa.p0.x < sb.p0.x || sa.p0.y < sb.p0.y)
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| 272 | return false;
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| 273 |
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| 274 | if (sa.p1.x > sb.p1.x || sa.p1.y > sb.p1.y)
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| 275 | return false;
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| 276 |
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| 277 | return true;
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| 278 | }
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| 279 |
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| 280 | /** Get rectangle dimensions.
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| 281 | *
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| 282 | * Get a vector containing the x, y dimensions of a rectangle. These are
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| 283 | * always nonnegative.
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| 284 | *
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| 285 | * @param rect Rectangle
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| 286 | * @param dims Place to store dimensions
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| 287 | */
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| 288 | void gfx_rect_dims(gfx_rect_t *rect, gfx_coord2_t *dims)
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| 289 | {
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| 290 | gfx_rect_t srect;
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| 291 |
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| 292 | gfx_rect_points_sort(rect, &srect);
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| 293 | gfx_coord2_subtract(&srect.p1, &srect.p0, dims);
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| 294 | }
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| 295 |
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| 296 | /** Return true if pixel at coordinate @a coord lies within rectangle @a rect. */
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| 297 | bool gfx_pix_inside_rect(gfx_coord2_t *coord, gfx_rect_t *rect)
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| 298 | {
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| 299 | gfx_rect_t sr;
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| 300 |
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| 301 | gfx_rect_points_sort(rect, &sr);
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| 302 |
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| 303 | if (coord->x < sr.p0.x || coord->y < sr.p0.y)
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| 304 | return false;
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| 305 |
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| 306 | if (coord->x >= sr.p1.x || coord->y >= sr.p1.y)
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| 307 | return false;
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| 308 |
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| 309 | return true;
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| 310 | }
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| 311 |
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| 312 | /** @}
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| 313 | */
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