Optimize Bézier bisections. * src/raster/ftraster.c (Split_Conic, Split_Cubic): Use shifts and refactor. * src/smooth/ftgrays.c (gray_split_conic, gray_split_cubic): Ditto. * src/base/ftstroke.c (ft_conic_split, ft_cubic_split): Ditto. * src/base/ftbbox.c (cubic_peak): Use shifts.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291
diff --git a/ChangeLog b/ChangeLog
index 7919b5f..cae7fab 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -1,3 +1,13 @@
+2019-04-25 Alexei Podtelezhnikov <apodtele@gmail.com>
+
+ Optimize Bézier bisections.
+
+ * src/raster/ftraster.c (Split_Conic, Split_Cubic): Use shifts and
+ refactor.
+ * src/smooth/ftgrays.c (gray_split_conic, gray_split_cubic): Ditto.
+ * src/base/ftstroke.c (ft_conic_split, ft_cubic_split): Ditto.
+ * src/base/ftbbox.c (cubic_peak): Use shifts.
+
2019-04-23 Werner Lemberg <wl@gnu.org>
* src/sfnt/ttcmap.c (tt_cmap12_next): Remove dead code.
diff --git a/src/base/ftbbox.c b/src/base/ftbbox.c
index 0b04fde..a0b2c46 100644
--- a/src/base/ftbbox.c
+++ b/src/base/ftbbox.c
@@ -319,9 +319,9 @@
q2 = q2 + q1;
q4 = q4 + q3;
q3 = q3 + q2;
- q4 = ( q4 + q3 ) / 8;
- q3 = q3 / 4;
- q2 = q2 / 2;
+ q4 = ( q4 + q3 ) >> 3;
+ q3 = q3 >> 2;
+ q2 = q2 >> 1;
}
else /* second half */
{
@@ -330,9 +330,9 @@
q3 = q3 + q4;
q1 = q1 + q2;
q2 = q2 + q3;
- q1 = ( q1 + q2 ) / 8;
- q2 = q2 / 4;
- q3 = q3 / 2;
+ q1 = ( q1 + q2 ) >> 3;
+ q2 = q2 >> 2;
+ q3 = q3 >> 1;
}
/* check whether either end reached the maximum */
diff --git a/src/base/ftstroke.c b/src/base/ftstroke.c
index 826062c..1b2c0f6 100644
--- a/src/base/ftstroke.c
+++ b/src/base/ftstroke.c
@@ -86,16 +86,18 @@
base[4].x = base[2].x;
- b = base[1].x;
- a = base[3].x = ( base[2].x + b ) / 2;
- b = base[1].x = ( base[0].x + b ) / 2;
- base[2].x = ( a + b ) / 2;
+ a = base[0].x + base[1].x;
+ b = base[1].x + base[2].x;
+ base[3].x = b >> 1;
+ base[2].x = ( a + b ) >> 2;
+ base[1].x = a >> 1;
base[4].y = base[2].y;
- b = base[1].y;
- a = base[3].y = ( base[2].y + b ) / 2;
- b = base[1].y = ( base[0].y + b ) / 2;
- base[2].y = ( a + b ) / 2;
+ a = base[0].y + base[1].y;
+ b = base[1].y + base[2].y;
+ base[3].y = b >> 1;
+ base[2].y = ( a + b ) >> 2;
+ base[1].y = a >> 1;
}
@@ -153,28 +155,32 @@
static void
ft_cubic_split( FT_Vector* base )
{
- FT_Pos a, b, c, d;
+ FT_Pos a, b, c;
base[6].x = base[3].x;
- c = base[1].x;
- d = base[2].x;
- base[1].x = a = ( base[0].x + c ) / 2;
- base[5].x = b = ( base[3].x + d ) / 2;
- c = ( c + d ) / 2;
- base[2].x = a = ( a + c ) / 2;
- base[4].x = b = ( b + c ) / 2;
- base[3].x = ( a + b ) / 2;
+ a = base[0].x + base[1].x;
+ b = base[1].x + base[2].x;
+ c = base[2].x + base[3].x;
+ base[5].x = c >> 1;
+ c += b;
+ base[4].x = c >> 2;
+ base[1].x = a >> 1;
+ a += b;
+ base[2].x = a >> 2;
+ base[3].x = ( a + c ) >> 3;
base[6].y = base[3].y;
- c = base[1].y;
- d = base[2].y;
- base[1].y = a = ( base[0].y + c ) / 2;
- base[5].y = b = ( base[3].y + d ) / 2;
- c = ( c + d ) / 2;
- base[2].y = a = ( a + c ) / 2;
- base[4].y = b = ( b + c ) / 2;
- base[3].y = ( a + b ) / 2;
+ a = base[0].y + base[1].y;
+ b = base[1].y + base[2].y;
+ c = base[2].y + base[3].y;
+ base[5].y = c >> 1;
+ c += b;
+ base[4].y = c >> 2;
+ base[1].y = a >> 1;
+ a += b;
+ base[2].y = a >> 2;
+ base[3].y = ( a + c ) >> 3;
}
diff --git a/src/raster/ftraster.c b/src/raster/ftraster.c
index 798a72d..2859113 100644
--- a/src/raster/ftraster.c
+++ b/src/raster/ftraster.c
@@ -914,16 +914,18 @@
base[4].x = base[2].x;
- b = base[1].x;
- a = base[3].x = ( base[2].x + b ) / 2;
- b = base[1].x = ( base[0].x + b ) / 2;
- base[2].x = ( a + b ) / 2;
+ a = base[0].x + base[1].x;
+ b = base[1].x + base[2].x;
+ base[3].x = b >> 1;
+ base[2].x = ( a + b ) >> 2;
+ base[1].x = a >> 1;
base[4].y = base[2].y;
- b = base[1].y;
- a = base[3].y = ( base[2].y + b ) / 2;
- b = base[1].y = ( base[0].y + b ) / 2;
- base[2].y = ( a + b ) / 2;
+ a = base[0].y + base[1].y;
+ b = base[1].y + base[2].y;
+ base[3].y = b >> 1;
+ base[2].y = ( a + b ) >> 2;
+ base[1].y = a >> 1;
/* hand optimized. gcc doesn't seem to be too good at common */
/* expression substitution and instruction scheduling ;-) */
@@ -947,28 +949,32 @@
static void
Split_Cubic( TPoint* base )
{
- Long a, b, c, d;
+ Long a, b, c;
base[6].x = base[3].x;
- c = base[1].x;
- d = base[2].x;
- base[1].x = a = ( base[0].x + c + 1 ) >> 1;
- base[5].x = b = ( base[3].x + d + 1 ) >> 1;
- c = ( c + d + 1 ) >> 1;
- base[2].x = a = ( a + c + 1 ) >> 1;
- base[4].x = b = ( b + c + 1 ) >> 1;
- base[3].x = ( a + b + 1 ) >> 1;
+ a = base[0].x + base[1].x;
+ b = base[1].x + base[2].x;
+ c = base[2].x + base[3].x;
+ base[5].x = c >> 1;
+ c += b;
+ base[4].x = c >> 2;
+ base[1].x = a >> 1;
+ a += b;
+ base[2].x = a >> 2;
+ base[3].x = ( a + c ) >> 3;
base[6].y = base[3].y;
- c = base[1].y;
- d = base[2].y;
- base[1].y = a = ( base[0].y + c + 1 ) >> 1;
- base[5].y = b = ( base[3].y + d + 1 ) >> 1;
- c = ( c + d + 1 ) >> 1;
- base[2].y = a = ( a + c + 1 ) >> 1;
- base[4].y = b = ( b + c + 1 ) >> 1;
- base[3].y = ( a + b + 1 ) >> 1;
+ a = base[0].y + base[1].y;
+ b = base[1].y + base[2].y;
+ c = base[2].y + base[3].y;
+ base[5].y = c >> 1;
+ c += b;
+ base[4].y = c >> 2;
+ base[1].y = a >> 1;
+ a += b;
+ base[2].y = a >> 2;
+ base[3].y = ( a + c ) >> 3;
}
diff --git a/src/smooth/ftgrays.c b/src/smooth/ftgrays.c
index 20c6a34..82cd445 100644
--- a/src/smooth/ftgrays.c
+++ b/src/smooth/ftgrays.c
@@ -979,16 +979,18 @@ typedef ptrdiff_t FT_PtrDist;
base[4].x = base[2].x;
- b = base[1].x;
- a = base[3].x = ( base[2].x + b ) / 2;
- b = base[1].x = ( base[0].x + b ) / 2;
- base[2].x = ( a + b ) / 2;
+ a = base[0].x + base[1].x;
+ b = base[1].x + base[2].x;
+ base[3].x = b >> 1;
+ base[2].x = ( a + b ) >> 2;
+ base[1].x = a >> 1;
base[4].y = base[2].y;
- b = base[1].y;
- a = base[3].y = ( base[2].y + b ) / 2;
- b = base[1].y = ( base[0].y + b ) / 2;
- base[2].y = ( a + b ) / 2;
+ a = base[0].y + base[1].y;
+ b = base[1].y + base[2].y;
+ base[3].y = b >> 1;
+ base[2].y = ( a + b ) >> 2;
+ base[1].y = a >> 1;
}
@@ -1060,28 +1062,32 @@ typedef ptrdiff_t FT_PtrDist;
static void
gray_split_cubic( FT_Vector* base )
{
- TPos a, b, c, d;
+ TPos a, b, c;
base[6].x = base[3].x;
- c = base[1].x;
- d = base[2].x;
- base[1].x = a = ( base[0].x + c ) / 2;
- base[5].x = b = ( base[3].x + d ) / 2;
- c = ( c + d ) / 2;
- base[2].x = a = ( a + c ) / 2;
- base[4].x = b = ( b + c ) / 2;
- base[3].x = ( a + b ) / 2;
+ a = base[0].x + base[1].x;
+ b = base[1].x + base[2].x;
+ c = base[2].x + base[3].x;
+ base[5].x = c >> 1;
+ c += b;
+ base[4].x = c >> 2;
+ base[1].x = a >> 1;
+ a += b;
+ base[2].x = a >> 2;
+ base[3].x = ( a + c ) >> 3;
base[6].y = base[3].y;
- c = base[1].y;
- d = base[2].y;
- base[1].y = a = ( base[0].y + c ) / 2;
- base[5].y = b = ( base[3].y + d ) / 2;
- c = ( c + d ) / 2;
- base[2].y = a = ( a + c ) / 2;
- base[4].y = b = ( b + c ) / 2;
- base[3].y = ( a + b ) / 2;
+ a = base[0].y + base[1].y;
+ b = base[1].y + base[2].y;
+ c = base[2].y + base[3].y;
+ base[5].y = c >> 1;
+ c += b;
+ base[4].y = c >> 2;
+ base[1].y = a >> 1;
+ a += b;
+ base[2].y = a >> 2;
+ base[3].y = ( a + c ) >> 3;
}