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/***************************************************************************/ |
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/* */ |
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/* ftbbox.c */ |
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/* */ |
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/* FreeType bbox computation (body). */ |
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/* */ |
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/* Copyright 1996-2000 by */ |
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/* David Turner, Robert Wilhelm, and Werner Lemberg. */ |
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/* */ |
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/* This file is part of the FreeType project, and may only be used */ |
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/* modified and distributed under the terms of the FreeType project */ |
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/* license, LICENSE.TXT. By continuing to use, modify, or distribute */ |
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/* this file you indicate that you have read the license and */ |
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/* understand and accept it fully. */ |
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/* */ |
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/***************************************************************************/ |
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|
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/*************************************************************************/ |
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/* */ |
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/* This component has a _single_ role: to compute exact outline bounding */ |
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/* boxes. */ |
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/* */ |
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/* It is separated from the rest of the engine for various technical */ |
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/* reasons. It may well be integrated in `ftoutln' later. */ |
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/* */ |
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/*************************************************************************/ |
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#include <ftbbox.h> |
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#include <ftimage.h> |
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#include <ftobjs.h> |
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typedef struct TBBox_Rec_ |
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{ |
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FT_Vector last; |
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FT_BBox bbox; |
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} TBBox_Rec; |
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/*************************************************************************/ |
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/* */ |
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/* <Function> */ |
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/* BBox_Move_To */ |
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/* */ |
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/* <Description> */ |
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/* This function is used as a `move_to' and `line_to' emitter during */ |
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/* FT_Outline_Decompose. It simply records the destination point in */ |
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/* `user->last'. */ |
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/* */ |
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/* <Input> */ |
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/* to :: A pointer to the destination vector. */ |
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/* */ |
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/* <InOut> */ |
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/* user :: A pointer to the current walk context. */ |
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/* */ |
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/* <Return> */ |
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/* Error code. 0 means success. */ |
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/* */ |
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static |
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int BBox_Move_To( FT_Vector* to, |
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TBBox_Rec* user ) |
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{ |
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user->last = *to; |
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return 0; |
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} |
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#define CHECK_X( p, bbox ) \ |
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( p->x < bbox.xMin || p->x > bbox.xMax ) |
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#define CHECK_Y( p, bbox ) \ |
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( p->y < bbox.yMin || p->y > bbox.yMax ) |
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/*************************************************************************/ |
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/* */ |
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/* <Function> */ |
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/* BBox_Conic_Check */ |
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/* */ |
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/* <Description> */ |
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/* Finds the extrema of a 1-dimensional conic Bezier curve and update */ |
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/* a bounding range. This version uses direct computation, as it */ |
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/* doesn't need square roots. */ |
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/* */ |
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/* <Input> */ |
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/* y1 :: The start coordinate. */ |
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/* y2 :: The coordinate of the control point. */ |
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/* y3 :: The end coordinate. */ |
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/* */ |
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/* <InOut> */ |
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/* min :: The address of the current minimum. */ |
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/* max :: The address of the current maximum. */ |
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/* */ |
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static |
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void BBox_Conic_Check( FT_Pos y1, |
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FT_Pos y2, |
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FT_Pos y3, |
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FT_Pos* min, |
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FT_Pos* max ) |
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{ |
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if( y1 == y3 ) |
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{ |
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if ( y2 == y1 ) /* Flat arc */ |
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{ |
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y3 = y1; |
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goto Suite; |
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} |
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} |
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else if ( y1 < y3 ) |
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{ |
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if ( y2 >= y1 && y2 <= y3 ) /* Ascending arc */ |
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goto Suite; |
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} |
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else |
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{ |
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if ( y2 >= y3 && y2 <= y1 ) /* Descending arc */ |
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{ |
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y2 = y1; |
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y1 = y3; |
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y3 = y2; |
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goto Suite; |
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} |
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} |
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y1 = y3 = FT_MulDiv( y2 - y1, y2 - y1, y1 - 2*y2 + y3 ); |
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Suite: |
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if ( y1 < *min ) *min = y1; |
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if ( y3 > *max ) *max = y3; |
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} |
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/*************************************************************************/ |
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/* */ |
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/* <Function> */ |
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/* BBox_Conic_To */ |
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/* */ |
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/* <Description> */ |
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/* This function is used as a `conic_to' emitter during */ |
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/* FT_Raster_Decompose(). It checks a conic Bezier curve with the */ |
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/* current bounding box, and computes its extrema if necessary to */ |
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/* update it. */ |
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/* */ |
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/* <Input> */ |
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/* control :: A pointer to a control point. */ |
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/* to :: A pointer to the destination vector. */ |
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/* */ |
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/* <InOut> */ |
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/* user :: The address of the current walk context. */ |
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/* */ |
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/* <Return> */ |
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/* Error code. 0 means success. */ |
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/* */ |
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/* <Note> */ |
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/* In the case of a non-monotonous arc, we compute directly the */ |
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/* extremum coordinates, as it is sufficiently fast. */ |
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/* */ |
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static |
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int BBox_Conic_To( FT_Vector* control, |
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FT_Vector* to, |
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TBBox_Rec* user ) |
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{ |
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if ( CHECK_X( control, user->bbox ) || |
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CHECK_X( to, user->bbox ) ) |
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BBox_Conic_Check( user->last.x, |
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control->x, |
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to->x, |
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&user->bbox.xMin, |
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&user->bbox.xMax ); |
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if ( CHECK_Y( control, user->bbox ) || |
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CHECK_Y( to, user->bbox ) ) |
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BBox_Conic_Check( user->last.y, |
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control->y, |
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to->y, |
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&user->bbox.yMin, |
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&user->bbox.yMax ); |
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return 0; |
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} |
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/*************************************************************************/ |
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/* */ |
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/* <Function> */ |
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/* BBox_Cubic_Check */ |
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/* */ |
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/* <Description> */ |
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/* Finds the extrema of a 1-dimensional cubic Bezier curve and */ |
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/* updates a bounding range. This version uses splitting because we */ |
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/* don't want to use square roots and extra accuracies. */ |
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/* */ |
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/* <Input> */ |
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/* p1 :: The start coordinate. */ |
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/* p2 :: The coordinate of the first control point. */ |
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/* p3 :: The coordinate of the second control point. */ |
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/* p4 :: The end coordinate. */ |
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/* */ |
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/* <InOut> */ |
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/* min :: The address of the current minimum. */ |
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/* max :: The address of the current maximum. */ |
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/* */ |
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static |
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void BBox_Cubic_Check( FT_Pos p1, |
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FT_Pos p2, |
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FT_Pos p3, |
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FT_Pos p4, |
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FT_Pos* min, |
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FT_Pos* max ) |
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{ |
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FT_Pos stack[33], *arc; |
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arc = stack; |
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arc[0] = p1; |
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arc[1] = p2; |
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arc[2] = p3; |
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arc[3] = p4; |
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do |
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{ |
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FT_Pos y1 = arc[0]; |
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FT_Pos y2 = arc[1]; |
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FT_Pos y3 = arc[2]; |
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FT_Pos y4 = arc[3]; |
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if ( y1 == y4 ) |
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{ |
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if ( y1 == y2 && y1 == y3 ) /* Flat */ |
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{ |
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y4 = y1; |
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goto Test; |
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} |
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} |
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else if ( y1 < y4 ) |
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{ |
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if ( y2 >= y1 && y2 <= y4 && y3 >= y1 && y3 <= y4 ) /* Ascending */ |
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goto Test; |
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} |
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else |
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{ |
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if ( y2 >= y4 && y2 <= y1 && y3 >= y4 && y3 <= y1 ) /* Descending */ |
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{ |
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y2 = y1; |
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y1 = y4; |
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y4 = y2; |
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goto Test; |
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} |
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} |
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/* Unknown direction, split the arc in two */ |
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arc[6] = y4; |
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arc[1] = y1 = ( y1 + y2 ) / 2; |
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arc[5] = y4 = ( y4 + y3 ) / 2; |
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y2 = ( y2 + y3 ) / 2; |
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arc[2] = y1 = ( y1 + y2 ) / 2; |
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arc[4] = y4 = ( y4 + y2 ) / 2; |
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arc[3] = ( y1 + y4 ) / 2; |
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arc += 3; |
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goto Suite; |
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Test: |
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if ( y1 < *min ) *min = y1; |
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if ( y4 > *max ) *max = y4; |
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arc -= 3; |
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Suite: |
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; |
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} while (arc >= stack); |
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} |
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/*************************************************************************/ |
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/* */ |
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/* <Function> */ |
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/* BBox_Cubic_To */ |
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/* */ |
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/* <Description> */ |
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/* This function is used as a `cubic_to' emitter during */ |
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/* FT_Raster_Decompose(). It checks a cubic Bezier curve with the */ |
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/* current bounding box, and computes its extrema if necessary to */ |
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/* update it. */ |
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/* */ |
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/* <Input> */ |
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/* control1 :: A pointer to the first control point. */ |
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/* control2 :: A pointer to the second control point. */ |
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/* to :: A pointer to the destination vector. */ |
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/* */ |
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/* <InOut> */ |
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/* user :: The address of the current walk context. */ |
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/* */ |
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/* <Return> */ |
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/* Error code. 0 means success. */ |
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/* */ |
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/* <Note> */ |
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/* In the case of a non-monotonous arc, we don't compute directly */ |
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/* extremum coordinates, we subdivise instead. */ |
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/* */ |
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static |
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int BBox_Cubic_To( FT_Vector* control1, |
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FT_Vector* control2, |
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FT_Vector* to, |
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TBBox_Rec* user ) |
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{ |
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if ( CHECK_X( control1, user->bbox ) || |
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CHECK_X( control2, user->bbox ) || |
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CHECK_X( to, user->bbox ) ) |
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BBox_Cubic_Check( user->last.x, |
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control1->x, |
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control2->x, |
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to->x, |
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&user->bbox.xMin, |
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&user->bbox.xMax ); |
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if ( CHECK_Y( control1, user->bbox ) || |
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CHECK_Y( control2, user->bbox ) || |
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CHECK_Y( to, user->bbox ) ) |
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BBox_Cubic_Check( user->last.y, |
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control1->y, |
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control2->y, |
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to->y, |
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&user->bbox.yMin, |
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&user->bbox.yMax ); |
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return 0; |
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} |
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/*************************************************************************/ |
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/* */ |
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/* <Function> */ |
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/* FT_Outline_Get_BBox */ |
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/* */ |
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/* <Description> */ |
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/* Computes the exact bounding box of an outline. This is slower */ |
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/* than computing the control box. However, it uses an advanced */ |
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/* algorithm which returns _very_ quickly when the two boxes */ |
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/* coincide. Otherwise, the outline Bezier arcs are walked over to */ |
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/* extract their extrema. */ |
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/* */ |
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/* <Input> */ |
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/* outline :: A pointer to the source outline. */ |
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/* */ |
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/* <Output> */ |
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/* abbox :: A pointer to the outline's exact bounding box. */ |
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/* */ |
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/* <Return> */ |
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/* Error code. 0 means success. */ |
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/* */ |
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EXPORT_FUNC |
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FT_Error FT_Outline_Get_BBox( FT_Outline* outline, |
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FT_BBox* abbox ) |
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{ |
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FT_BBox cbox; |
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FT_BBox bbox; |
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FT_Vector* vec; |
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FT_UShort n; |
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/* if outline is empty, return (0,0,0,0) */ |
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if ( !outline ) |
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return FT_Err_Invalid_Outline; |
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if ( outline->n_points == 0 || outline->n_contours <= 0 ) |
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{ |
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abbox->xMin = abbox->xMax = 0; |
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abbox->yMin = abbox->yMax = 0; |
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return 0; |
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} |
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/* We compute the control box as well as the bounding box of */ |
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/* all `on' points in the outline. Then, if the two boxes */ |
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/* coincide, we exit immediately. */ |
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vec = outline->points; |
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bbox.xMin = bbox.xMax = cbox.xMin = cbox.xMax = vec->x; |
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bbox.yMin = bbox.yMax = cbox.yMin = cbox.yMax = vec->y; |
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for ( n = 1; n < outline->n_points; n++ ) |
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{ |
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FT_Pos x = vec->x; |
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FT_Pos y = vec->y; |
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/* update control box */ |
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if ( x < cbox.xMin ) cbox.xMin = x; |
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if ( x > cbox.xMax ) cbox.xMax = x; |
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if ( y < cbox.yMin ) cbox.yMin = y; |
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if ( y > cbox.yMax ) cbox.yMax = y; |
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if ( FT_CURVE_TAG( outline->tags[n] ) == FT_Curve_Tag_On ) |
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{ |
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/* update bbox for `on' points only */ |
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if ( x < bbox.xMin ) bbox.xMin = x; |
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if ( x > bbox.xMax ) bbox.xMax = x; |
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if ( y < bbox.yMin ) bbox.yMin = y; |
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if ( y > bbox.yMax ) bbox.yMax = y; |
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} |
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vec++; |
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} |
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/* test two boxes for equality */ |
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if ( cbox.xMin < bbox.xMin || cbox.xMax > bbox.xMax || |
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cbox.yMin < bbox.yMin || cbox.yMax > bbox.yMax ) |
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{ |
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/* the two boxes are different, now walk over the outline to */ |
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/* get the Bezier arc extrema. */ |
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static FT_Outline_Funcs interface = |
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{ |
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(FT_Outline_MoveTo_Func) BBox_Move_To, |
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(FT_Outline_LineTo_Func) BBox_Move_To, |
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(FT_Outline_ConicTo_Func)BBox_Conic_To, |
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(FT_Outline_CubicTo_Func)BBox_Cubic_To |
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}; |
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FT_Error error; |
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TBBox_Rec user; |
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user.bbox = bbox; |
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error = FT_Outline_Decompose( outline, &interface, &user ); |
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if ( error ) |
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return error; |
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*abbox = user.bbox; |
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} |
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else |
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*abbox = bbox; |
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return FT_Err_Ok; |
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} |
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/* END */ |
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