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.
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ChangeLog
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ChangeLog
@ -1,3 +1,13 @@
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2019-04-25 Alexei Podtelezhnikov <apodtele@gmail.com>
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Optimize Bézier bisections.
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* src/raster/ftraster.c (Split_Conic, Split_Cubic): Use shifts and
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refactor.
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* src/smooth/ftgrays.c (gray_split_conic, gray_split_cubic): Ditto.
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* src/base/ftstroke.c (ft_conic_split, ft_cubic_split): Ditto.
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* src/base/ftbbox.c (cubic_peak): Use shifts.
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2019-04-23 Werner Lemberg <wl@gnu.org>
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* src/sfnt/ttcmap.c (tt_cmap12_next): Remove dead code.
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@ -319,9 +319,9 @@
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q2 = q2 + q1;
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q4 = q4 + q3;
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q3 = q3 + q2;
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q4 = ( q4 + q3 ) / 8;
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q3 = q3 / 4;
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q2 = q2 / 2;
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q4 = ( q4 + q3 ) >> 3;
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q3 = q3 >> 2;
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q2 = q2 >> 1;
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}
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else /* second half */
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{
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@ -330,9 +330,9 @@
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q3 = q3 + q4;
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q1 = q1 + q2;
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q2 = q2 + q3;
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q1 = ( q1 + q2 ) / 8;
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q2 = q2 / 4;
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q3 = q3 / 2;
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q1 = ( q1 + q2 ) >> 3;
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q2 = q2 >> 2;
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q3 = q3 >> 1;
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}
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/* check whether either end reached the maximum */
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@ -86,16 +86,18 @@
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base[4].x = base[2].x;
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b = base[1].x;
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a = base[3].x = ( base[2].x + b ) / 2;
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b = base[1].x = ( base[0].x + b ) / 2;
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base[2].x = ( a + b ) / 2;
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a = base[0].x + base[1].x;
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b = base[1].x + base[2].x;
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base[3].x = b >> 1;
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base[2].x = ( a + b ) >> 2;
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base[1].x = a >> 1;
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base[4].y = base[2].y;
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b = base[1].y;
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a = base[3].y = ( base[2].y + b ) / 2;
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b = base[1].y = ( base[0].y + b ) / 2;
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base[2].y = ( a + b ) / 2;
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a = base[0].y + base[1].y;
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b = base[1].y + base[2].y;
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base[3].y = b >> 1;
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base[2].y = ( a + b ) >> 2;
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base[1].y = a >> 1;
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}
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@ -153,28 +155,32 @@
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static void
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ft_cubic_split( FT_Vector* base )
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{
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FT_Pos a, b, c, d;
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FT_Pos a, b, c;
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base[6].x = base[3].x;
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c = base[1].x;
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d = base[2].x;
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base[1].x = a = ( base[0].x + c ) / 2;
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base[5].x = b = ( base[3].x + d ) / 2;
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c = ( c + d ) / 2;
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base[2].x = a = ( a + c ) / 2;
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base[4].x = b = ( b + c ) / 2;
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base[3].x = ( a + b ) / 2;
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a = base[0].x + base[1].x;
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b = base[1].x + base[2].x;
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c = base[2].x + base[3].x;
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base[5].x = c >> 1;
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c += b;
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base[4].x = c >> 2;
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base[1].x = a >> 1;
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a += b;
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base[2].x = a >> 2;
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base[3].x = ( a + c ) >> 3;
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base[6].y = base[3].y;
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c = base[1].y;
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d = base[2].y;
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base[1].y = a = ( base[0].y + c ) / 2;
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base[5].y = b = ( base[3].y + d ) / 2;
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c = ( c + d ) / 2;
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base[2].y = a = ( a + c ) / 2;
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base[4].y = b = ( b + c ) / 2;
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base[3].y = ( a + b ) / 2;
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a = base[0].y + base[1].y;
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b = base[1].y + base[2].y;
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c = base[2].y + base[3].y;
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base[5].y = c >> 1;
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c += b;
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base[4].y = c >> 2;
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base[1].y = a >> 1;
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a += b;
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base[2].y = a >> 2;
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base[3].y = ( a + c ) >> 3;
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}
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@ -914,16 +914,18 @@
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base[4].x = base[2].x;
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b = base[1].x;
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a = base[3].x = ( base[2].x + b ) / 2;
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b = base[1].x = ( base[0].x + b ) / 2;
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base[2].x = ( a + b ) / 2;
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a = base[0].x + base[1].x;
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b = base[1].x + base[2].x;
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base[3].x = b >> 1;
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base[2].x = ( a + b ) >> 2;
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base[1].x = a >> 1;
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base[4].y = base[2].y;
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b = base[1].y;
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a = base[3].y = ( base[2].y + b ) / 2;
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b = base[1].y = ( base[0].y + b ) / 2;
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base[2].y = ( a + b ) / 2;
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a = base[0].y + base[1].y;
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b = base[1].y + base[2].y;
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base[3].y = b >> 1;
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base[2].y = ( a + b ) >> 2;
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base[1].y = a >> 1;
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/* hand optimized. gcc doesn't seem to be too good at common */
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/* expression substitution and instruction scheduling ;-) */
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@ -947,28 +949,32 @@
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static void
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Split_Cubic( TPoint* base )
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{
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Long a, b, c, d;
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Long a, b, c;
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base[6].x = base[3].x;
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c = base[1].x;
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d = base[2].x;
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base[1].x = a = ( base[0].x + c + 1 ) >> 1;
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base[5].x = b = ( base[3].x + d + 1 ) >> 1;
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c = ( c + d + 1 ) >> 1;
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base[2].x = a = ( a + c + 1 ) >> 1;
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base[4].x = b = ( b + c + 1 ) >> 1;
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base[3].x = ( a + b + 1 ) >> 1;
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a = base[0].x + base[1].x;
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b = base[1].x + base[2].x;
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c = base[2].x + base[3].x;
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base[5].x = c >> 1;
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c += b;
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base[4].x = c >> 2;
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base[1].x = a >> 1;
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a += b;
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base[2].x = a >> 2;
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base[3].x = ( a + c ) >> 3;
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base[6].y = base[3].y;
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c = base[1].y;
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d = base[2].y;
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base[1].y = a = ( base[0].y + c + 1 ) >> 1;
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base[5].y = b = ( base[3].y + d + 1 ) >> 1;
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c = ( c + d + 1 ) >> 1;
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base[2].y = a = ( a + c + 1 ) >> 1;
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base[4].y = b = ( b + c + 1 ) >> 1;
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base[3].y = ( a + b + 1 ) >> 1;
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a = base[0].y + base[1].y;
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b = base[1].y + base[2].y;
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c = base[2].y + base[3].y;
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base[5].y = c >> 1;
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c += b;
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base[4].y = c >> 2;
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base[1].y = a >> 1;
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a += b;
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base[2].y = a >> 2;
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base[3].y = ( a + c ) >> 3;
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}
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@ -979,16 +979,18 @@ typedef ptrdiff_t FT_PtrDist;
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base[4].x = base[2].x;
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b = base[1].x;
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a = base[3].x = ( base[2].x + b ) / 2;
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b = base[1].x = ( base[0].x + b ) / 2;
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base[2].x = ( a + b ) / 2;
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a = base[0].x + base[1].x;
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b = base[1].x + base[2].x;
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base[3].x = b >> 1;
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base[2].x = ( a + b ) >> 2;
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base[1].x = a >> 1;
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base[4].y = base[2].y;
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b = base[1].y;
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a = base[3].y = ( base[2].y + b ) / 2;
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b = base[1].y = ( base[0].y + b ) / 2;
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base[2].y = ( a + b ) / 2;
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a = base[0].y + base[1].y;
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b = base[1].y + base[2].y;
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base[3].y = b >> 1;
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base[2].y = ( a + b ) >> 2;
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base[1].y = a >> 1;
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}
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@ -1060,28 +1062,32 @@ typedef ptrdiff_t FT_PtrDist;
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static void
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gray_split_cubic( FT_Vector* base )
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{
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TPos a, b, c, d;
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TPos a, b, c;
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base[6].x = base[3].x;
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c = base[1].x;
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d = base[2].x;
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base[1].x = a = ( base[0].x + c ) / 2;
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base[5].x = b = ( base[3].x + d ) / 2;
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c = ( c + d ) / 2;
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base[2].x = a = ( a + c ) / 2;
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base[4].x = b = ( b + c ) / 2;
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base[3].x = ( a + b ) / 2;
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a = base[0].x + base[1].x;
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b = base[1].x + base[2].x;
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c = base[2].x + base[3].x;
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base[5].x = c >> 1;
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c += b;
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base[4].x = c >> 2;
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base[1].x = a >> 1;
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a += b;
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base[2].x = a >> 2;
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base[3].x = ( a + c ) >> 3;
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base[6].y = base[3].y;
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c = base[1].y;
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d = base[2].y;
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base[1].y = a = ( base[0].y + c ) / 2;
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base[5].y = b = ( base[3].y + d ) / 2;
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c = ( c + d ) / 2;
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base[2].y = a = ( a + c ) / 2;
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base[4].y = b = ( b + c ) / 2;
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base[3].y = ( a + b ) / 2;
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a = base[0].y + base[1].y;
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b = base[1].y + base[2].y;
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c = base[2].y + base[3].y;
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base[5].y = c >> 1;
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c += b;
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base[4].y = c >> 2;
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base[1].y = a >> 1;
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a += b;
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base[2].y = a >> 2;
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base[3].y = ( a + c ) >> 3;
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}
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