[truetype] Improve accuracy of normalization of short vectors.
Unit vector components are stored as 2.14 fixed-point numbers. In order to calculate all 14 bits accurately, a short vector to be normalized has to be upscaled to at least 14 bits before its length is calculated. This has been safe since accurate CORDIC algorithms were adopted. * src/truetype/ttinterp.c (Normalize): Scale short vectors by 0x4000.
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ChangeLog
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ChangeLog
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@ -1,3 +1,15 @@
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2013-01-12 Alexei Podtelezhnikov <apodtele@gmail.com>
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[truetype] Improve accuracy of normalization of short vectors.
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Unit vector components are stored as 2.14 fixed-point numbers. In
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order to calculate all 14 bits accurately, a short vector to be
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normalized has to be upscaled to at least 14 bits before its length
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is calculated. This has been safe since accurate CORDIC algorithms
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were adopted.
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* src/truetype/ttinterp.c (Normalize): Scale short vectors by 0x4000.
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2013-01-12 Alexei Podtelezhnikov <apodtele@gmail.com>
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[truetype] Kill very old vector normalization hacks.
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@ -2635,8 +2635,6 @@
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/* In case Vx and Vy are both zero, Normalize() returns SUCCESS, and */
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/* R is undefined. */
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/* */
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static FT_Bool
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Normalize( EXEC_OP_ FT_F26Dot6 Vx,
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FT_F26Dot6 Vy,
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@ -2647,17 +2645,17 @@
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FT_UNUSED_EXEC;
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if ( FT_ABS( Vx ) < 0x10000L && FT_ABS( Vy ) < 0x10000L )
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if ( FT_ABS( Vx ) < 0x4000L && FT_ABS( Vy ) < 0x4000L )
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{
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Vx *= 0x100;
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Vy *= 0x100;
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if ( Vx == 0 && Vy == 0 )
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{
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/* XXX: UNDOCUMENTED! It seems that it is possible to try */
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/* to normalize the vector (0,0). Return immediately. */
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return SUCCESS;
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}
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Vx *= 0x4000;
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Vy *= 0x4000;
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}
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W = TT_VecLen( Vx, Vy );
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