ref: ce367774d20072018d46bfe26f7c7b823dfad79c
dir: /src/base/ftoutln.c/
/***************************************************************************/ /* */ /* ftoutln.c */ /* */ /* FreeType outline management (body). */ /* */ /* Copyright 1996-2017 by */ /* David Turner, Robert Wilhelm, and Werner Lemberg. */ /* */ /* This file is part of the FreeType project, and may only be used, */ /* modified, and distributed under the terms of the FreeType project */ /* license, LICENSE.TXT. By continuing to use, modify, or distribute */ /* this file you indicate that you have read the license and */ /* understand and accept it fully. */ /* */ /***************************************************************************/ /*************************************************************************/ /* */ /* All functions are declared in freetype.h. */ /* */ /*************************************************************************/ #include <ft2build.h> #include FT_OUTLINE_H #include FT_INTERNAL_OBJECTS_H #include FT_INTERNAL_CALC_H #include FT_INTERNAL_DEBUG_H #include FT_TRIGONOMETRY_H /*************************************************************************/ /* */ /* The macro FT_COMPONENT is used in trace mode. It is an implicit */ /* parameter of the FT_TRACE() and FT_ERROR() macros, used to print/log */ /* messages during execution. */ /* */ #undef FT_COMPONENT #define FT_COMPONENT trace_outline static const FT_Outline null_outline = { 0, 0, NULL, NULL, NULL, 0 }; /* documentation is in ftoutln.h */ FT_EXPORT_DEF( FT_Error ) FT_Outline_Decompose( FT_Outline* outline, const FT_Outline_Funcs* func_interface, void* user ) { #undef SCALED #define SCALED( x ) ( ( (x) < 0 ? -( -(x) << shift ) \ : ( (x) << shift ) ) - delta ) FT_Vector v_last; FT_Vector v_control; FT_Vector v_start; FT_Vector* point; FT_Vector* limit; char* tags; FT_Error error; FT_Int n; /* index of contour in outline */ FT_UInt first; /* index of first point in contour */ FT_Int tag; /* current point's state */ FT_Int shift; FT_Pos delta; if ( !outline ) return FT_THROW( Invalid_Outline ); if ( !func_interface ) return FT_THROW( Invalid_Argument ); shift = func_interface->shift; delta = func_interface->delta; first = 0; for ( n = 0; n < outline->n_contours; n++ ) { FT_Int last; /* index of last point in contour */ FT_TRACE5(( "FT_Outline_Decompose: Outline %d\n", n )); last = outline->contours[n]; if ( last < 0 ) goto Invalid_Outline; limit = outline->points + last; v_start = outline->points[first]; v_start.x = SCALED( v_start.x ); v_start.y = SCALED( v_start.y ); v_last = outline->points[last]; v_last.x = SCALED( v_last.x ); v_last.y = SCALED( v_last.y ); v_control = v_start; point = outline->points + first; tags = outline->tags + first; tag = FT_CURVE_TAG( tags[0] ); /* A contour cannot start with a cubic control point! */ if ( tag == FT_CURVE_TAG_CUBIC ) goto Invalid_Outline; /* check first point to determine origin */ if ( tag == FT_CURVE_TAG_CONIC ) { /* first point is conic control. Yes, this happens. */ if ( FT_CURVE_TAG( outline->tags[last] ) == FT_CURVE_TAG_ON ) { /* start at last point if it is on the curve */ v_start = v_last; limit--; } else { /* if both first and last points are conic, */ /* start at their middle and record its position */ /* for closure */ v_start.x = ( v_start.x + v_last.x ) / 2; v_start.y = ( v_start.y + v_last.y ) / 2; /* v_last = v_start; */ } point--; tags--; } FT_TRACE5(( " move to (%.2f, %.2f)\n", v_start.x / 64.0, v_start.y / 64.0 )); error = func_interface->move_to( &v_start, user ); if ( error ) goto Exit; while ( point < limit ) { point++; tags++; tag = FT_CURVE_TAG( tags[0] ); switch ( tag ) { case FT_CURVE_TAG_ON: /* emit a single line_to */ { FT_Vector vec; vec.x = SCALED( point->x ); vec.y = SCALED( point->y ); FT_TRACE5(( " line to (%.2f, %.2f)\n", vec.x / 64.0, vec.y / 64.0 )); error = func_interface->line_to( &vec, user ); if ( error ) goto Exit; continue; } case FT_CURVE_TAG_CONIC: /* consume conic arcs */ v_control.x = SCALED( point->x ); v_control.y = SCALED( point->y ); Do_Conic: if ( point < limit ) { FT_Vector vec; FT_Vector v_middle; point++; tags++; tag = FT_CURVE_TAG( tags[0] ); vec.x = SCALED( point->x ); vec.y = SCALED( point->y ); if ( tag == FT_CURVE_TAG_ON ) { FT_TRACE5(( " conic to (%.2f, %.2f)" " with control (%.2f, %.2f)\n", vec.x / 64.0, vec.y / 64.0, v_control.x / 64.0, v_control.y / 64.0 )); error = func_interface->conic_to( &v_control, &vec, user ); if ( error ) goto Exit; continue; } if ( tag != FT_CURVE_TAG_CONIC ) goto Invalid_Outline; v_middle.x = ( v_control.x + vec.x ) / 2; v_middle.y = ( v_control.y + vec.y ) / 2; FT_TRACE5(( " conic to (%.2f, %.2f)" " with control (%.2f, %.2f)\n", v_middle.x / 64.0, v_middle.y / 64.0, v_control.x / 64.0, v_control.y / 64.0 )); error = func_interface->conic_to( &v_control, &v_middle, user ); if ( error ) goto Exit; v_control = vec; goto Do_Conic; } FT_TRACE5(( " conic to (%.2f, %.2f)" " with control (%.2f, %.2f)\n", v_start.x / 64.0, v_start.y / 64.0, v_control.x / 64.0, v_control.y / 64.0 )); error = func_interface->conic_to( &v_control, &v_start, user ); goto Close; default: /* FT_CURVE_TAG_CUBIC */ { FT_Vector vec1, vec2; if ( point + 1 > limit || FT_CURVE_TAG( tags[1] ) != FT_CURVE_TAG_CUBIC ) goto Invalid_Outline; point += 2; tags += 2; vec1.x = SCALED( point[-2].x ); vec1.y = SCALED( point[-2].y ); vec2.x = SCALED( point[-1].x ); vec2.y = SCALED( point[-1].y ); if ( point <= limit ) { FT_Vector vec; vec.x = SCALED( point->x ); vec.y = SCALED( point->y ); FT_TRACE5(( " cubic to (%.2f, %.2f)" " with controls (%.2f, %.2f) and (%.2f, %.2f)\n", vec.x / 64.0, vec.y / 64.0, vec1.x / 64.0, vec1.y / 64.0, vec2.x / 64.0, vec2.y / 64.0 )); error = func_interface->cubic_to( &vec1, &vec2, &vec, user ); if ( error ) goto Exit; continue; } FT_TRACE5(( " cubic to (%.2f, %.2f)" " with controls (%.2f, %.2f) and (%.2f, %.2f)\n", v_start.x / 64.0, v_start.y / 64.0, vec1.x / 64.0, vec1.y / 64.0, vec2.x / 64.0, vec2.y / 64.0 )); error = func_interface->cubic_to( &vec1, &vec2, &v_start, user ); goto Close; } } } /* close the contour with a line segment */ FT_TRACE5(( " line to (%.2f, %.2f)\n", v_start.x / 64.0, v_start.y / 64.0 )); error = func_interface->line_to( &v_start, user ); Close: if ( error ) goto Exit; first = (FT_UInt)last + 1; } FT_TRACE5(( "FT_Outline_Decompose: Done\n", n )); return FT_Err_Ok; Exit: FT_TRACE5(( "FT_Outline_Decompose: Error 0x%x\n", error )); return error; Invalid_Outline: return FT_THROW( Invalid_Outline ); } FT_EXPORT_DEF( FT_Error ) FT_Outline_New_Internal( FT_Memory memory, FT_UInt numPoints, FT_Int numContours, FT_Outline *anoutline ) { FT_Error error; if ( !anoutline || !memory ) return FT_THROW( Invalid_Argument ); *anoutline = null_outline; if ( numContours < 0 || (FT_UInt)numContours > numPoints ) return FT_THROW( Invalid_Argument ); if ( numPoints > FT_OUTLINE_POINTS_MAX ) return FT_THROW( Array_Too_Large ); if ( FT_NEW_ARRAY( anoutline->points, numPoints ) || FT_NEW_ARRAY( anoutline->tags, numPoints ) || FT_NEW_ARRAY( anoutline->contours, numContours ) ) goto Fail; anoutline->n_points = (FT_Short)numPoints; anoutline->n_contours = (FT_Short)numContours; anoutline->flags |= FT_OUTLINE_OWNER; return FT_Err_Ok; Fail: anoutline->flags |= FT_OUTLINE_OWNER; FT_Outline_Done_Internal( memory, anoutline ); return error; } /* documentation is in ftoutln.h */ FT_EXPORT_DEF( FT_Error ) FT_Outline_New( FT_Library library, FT_UInt numPoints, FT_Int numContours, FT_Outline *anoutline ) { if ( !library ) return FT_THROW( Invalid_Library_Handle ); return FT_Outline_New_Internal( library->memory, numPoints, numContours, anoutline ); } /* documentation is in ftoutln.h */ FT_EXPORT_DEF( FT_Error ) FT_Outline_Check( FT_Outline* outline ) { if ( outline ) { FT_Int n_points = outline->n_points; FT_Int n_contours = outline->n_contours; FT_Int end0, end; FT_Int n; /* empty glyph? */ if ( n_points == 0 && n_contours == 0 ) return FT_Err_Ok; /* check point and contour counts */ if ( n_points <= 0 || n_contours <= 0 ) goto Bad; end0 = end = -1; for ( n = 0; n < n_contours; n++ ) { end = outline->contours[n]; /* note that we don't accept empty contours */ if ( end <= end0 || end >= n_points ) goto Bad; end0 = end; } if ( end != n_points - 1 ) goto Bad; /* XXX: check the tags array */ return FT_Err_Ok; } Bad: return FT_THROW( Invalid_Argument ); } /* documentation is in ftoutln.h */ FT_EXPORT_DEF( FT_Error ) FT_Outline_Copy( const FT_Outline* source, FT_Outline *target ) { FT_Int is_owner; if ( !source || !target ) return FT_THROW( Invalid_Outline ); if ( source->n_points != target->n_points || source->n_contours != target->n_contours ) return FT_THROW( Invalid_Argument ); if ( source == target ) return FT_Err_Ok; if ( source->n_points ) { FT_ARRAY_COPY( target->points, source->points, source->n_points ); FT_ARRAY_COPY( target->tags, source->tags, source->n_points ); } if ( source->n_contours ) FT_ARRAY_COPY( target->contours, source->contours, source->n_contours ); /* copy all flags, except the `FT_OUTLINE_OWNER' one */ is_owner = target->flags & FT_OUTLINE_OWNER; target->flags = source->flags; target->flags &= ~FT_OUTLINE_OWNER; target->flags |= is_owner; return FT_Err_Ok; } FT_EXPORT_DEF( FT_Error ) FT_Outline_Done_Internal( FT_Memory memory, FT_Outline* outline ) { if ( !outline ) return FT_THROW( Invalid_Outline ); if ( !memory ) return FT_THROW( Invalid_Argument ); if ( outline->flags & FT_OUTLINE_OWNER ) { FT_FREE( outline->points ); FT_FREE( outline->tags ); FT_FREE( outline->contours ); } *outline = null_outline; return FT_Err_Ok; } /* documentation is in ftoutln.h */ FT_EXPORT_DEF( FT_Error ) FT_Outline_Done( FT_Library library, FT_Outline* outline ) { /* check for valid `outline' in FT_Outline_Done_Internal() */ if ( !library ) return FT_THROW( Invalid_Library_Handle ); return FT_Outline_Done_Internal( library->memory, outline ); } /* documentation is in ftoutln.h */ FT_EXPORT_DEF( void ) FT_Outline_Get_CBox( const FT_Outline* outline, FT_BBox *acbox ) { FT_Pos xMin, yMin, xMax, yMax; if ( outline && acbox ) { if ( outline->n_points == 0 ) { xMin = 0; yMin = 0; xMax = 0; yMax = 0; } else { FT_Vector* vec = outline->points; FT_Vector* limit = vec + outline->n_points; xMin = xMax = vec->x; yMin = yMax = vec->y; vec++; for ( ; vec < limit; vec++ ) { FT_Pos x, y; x = vec->x; if ( x < xMin ) xMin = x; if ( x > xMax ) xMax = x; y = vec->y; if ( y < yMin ) yMin = y; if ( y > yMax ) yMax = y; } } acbox->xMin = xMin; acbox->xMax = xMax; acbox->yMin = yMin; acbox->yMax = yMax; } } /* documentation is in ftoutln.h */ FT_EXPORT_DEF( void ) FT_Outline_Translate( const FT_Outline* outline, FT_Pos xOffset, FT_Pos yOffset ) { FT_UShort n; FT_Vector* vec; if ( !outline ) return; vec = outline->points; for ( n = 0; n < outline->n_points; n++ ) { vec->x += xOffset; vec->y += yOffset; vec++; } } /* documentation is in ftoutln.h */ FT_EXPORT_DEF( void ) FT_Outline_Reverse( FT_Outline* outline ) { FT_UShort n; FT_Int first, last; if ( !outline ) return; first = 0; for ( n = 0; n < outline->n_contours; n++ ) { last = outline->contours[n]; /* reverse point table */ { FT_Vector* p = outline->points + first; FT_Vector* q = outline->points + last; FT_Vector swap; while ( p < q ) { swap = *p; *p = *q; *q = swap; p++; q--; } } /* reverse tags table */ { char* p = outline->tags + first; char* q = outline->tags + last; while ( p < q ) { char swap; swap = *p; *p = *q; *q = swap; p++; q--; } } first = last + 1; } outline->flags ^= FT_OUTLINE_REVERSE_FILL; } /* documentation is in ftoutln.h */ FT_EXPORT_DEF( FT_Error ) FT_Outline_Render( FT_Library library, FT_Outline* outline, FT_Raster_Params* params ) { FT_Error error; FT_Renderer renderer; FT_ListNode node; if ( !library ) return FT_THROW( Invalid_Library_Handle ); if ( !outline ) return FT_THROW( Invalid_Outline ); if ( !params ) return FT_THROW( Invalid_Argument ); renderer = library->cur_renderer; node = library->renderers.head; params->source = (void*)outline; error = FT_ERR( Cannot_Render_Glyph ); while ( renderer ) { error = renderer->raster_render( renderer->raster, params ); if ( !error || FT_ERR_NEQ( error, Cannot_Render_Glyph ) ) break; /* FT_Err_Cannot_Render_Glyph is returned if the render mode */ /* is unsupported by the current renderer for this glyph image */ /* format */ /* now, look for another renderer that supports the same */ /* format */ renderer = FT_Lookup_Renderer( library, FT_GLYPH_FORMAT_OUTLINE, &node ); } return error; } /* documentation is in ftoutln.h */ FT_EXPORT_DEF( FT_Error ) FT_Outline_Get_Bitmap( FT_Library library, FT_Outline* outline, const FT_Bitmap *abitmap ) { FT_Raster_Params params; if ( !abitmap ) return FT_THROW( Invalid_Argument ); /* other checks are delayed to `FT_Outline_Render' */ params.target = abitmap; params.flags = 0; if ( abitmap->pixel_mode == FT_PIXEL_MODE_GRAY || abitmap->pixel_mode == FT_PIXEL_MODE_LCD || abitmap->pixel_mode == FT_PIXEL_MODE_LCD_V ) params.flags |= FT_RASTER_FLAG_AA; return FT_Outline_Render( library, outline, ¶ms ); } /* documentation is in freetype.h */ FT_EXPORT_DEF( void ) FT_Vector_Transform( FT_Vector* vector, const FT_Matrix* matrix ) { FT_Pos xz, yz; if ( !vector || !matrix ) return; xz = FT_MulFix( vector->x, matrix->xx ) + FT_MulFix( vector->y, matrix->xy ); yz = FT_MulFix( vector->x, matrix->yx ) + FT_MulFix( vector->y, matrix->yy ); vector->x = xz; vector->y = yz; } /* documentation is in ftoutln.h */ FT_EXPORT_DEF( void ) FT_Outline_Transform( const FT_Outline* outline, const FT_Matrix* matrix ) { FT_Vector* vec; FT_Vector* limit; if ( !outline || !matrix ) return; vec = outline->points; limit = vec + outline->n_points; for ( ; vec < limit; vec++ ) FT_Vector_Transform( vec, matrix ); } #if 0 #define FT_OUTLINE_GET_CONTOUR( outline, c, first, last ) \ do \ { \ (first) = ( c > 0 ) ? (outline)->points + \ (outline)->contours[c - 1] + 1 \ : (outline)->points; \ (last) = (outline)->points + (outline)->contours[c]; \ } while ( 0 ) /* Is a point in some contour? */ /* */ /* We treat every point of the contour as if it */ /* it were ON. That is, we allow false positives, */ /* but disallow false negatives. (XXX really?) */ static FT_Bool ft_contour_has( FT_Outline* outline, FT_Short c, FT_Vector* point ) { FT_Vector* first; FT_Vector* last; FT_Vector* a; FT_Vector* b; FT_UInt n = 0; FT_OUTLINE_GET_CONTOUR( outline, c, first, last ); for ( a = first; a <= last; a++ ) { FT_Pos x; FT_Int intersect; b = ( a == last ) ? first : a + 1; intersect = ( a->y - point->y ) ^ ( b->y - point->y ); /* a and b are on the same side */ if ( intersect >= 0 ) { if ( intersect == 0 && a->y == point->y ) { if ( ( a->x <= point->x && b->x >= point->x ) || ( a->x >= point->x && b->x <= point->x ) ) return 1; } continue; } x = a->x + ( b->x - a->x ) * (point->y - a->y ) / ( b->y - a->y ); if ( x < point->x ) n++; else if ( x == point->x ) return 1; } return n & 1; } static FT_Bool ft_contour_enclosed( FT_Outline* outline, FT_UShort c ) { FT_Vector* first; FT_Vector* last; FT_Short i; FT_OUTLINE_GET_CONTOUR( outline, c, first, last ); for ( i = 0; i < outline->n_contours; i++ ) { if ( i != c && ft_contour_has( outline, i, first ) ) { FT_Vector* pt; for ( pt = first + 1; pt <= last; pt++ ) if ( !ft_contour_has( outline, i, pt ) ) return 0; return 1; } } return 0; } /* This version differs from the public one in that each */ /* part (contour not enclosed in another contour) of the */ /* outline is checked for orientation. This is */ /* necessary for some buggy CJK fonts. */ static FT_Orientation ft_outline_get_orientation( FT_Outline* outline ) { FT_Short i; FT_Vector* first; FT_Vector* last; FT_Orientation orient = FT_ORIENTATION_NONE; first = outline->points; for ( i = 0; i < outline->n_contours; i++, first = last + 1 ) { FT_Vector* point; FT_Vector* xmin_point; FT_Pos xmin; last = outline->points + outline->contours[i]; /* skip degenerate contours */ if ( last < first + 2 ) continue; if ( ft_contour_enclosed( outline, i ) ) continue; xmin = first->x; xmin_point = first; for ( point = first + 1; point <= last; point++ ) { if ( point->x < xmin ) { xmin = point->x; xmin_point = point; } } /* check the orientation of the contour */ { FT_Vector* prev; FT_Vector* next; FT_Orientation o; prev = ( xmin_point == first ) ? last : xmin_point - 1; next = ( xmin_point == last ) ? first : xmin_point + 1; if ( FT_Atan2( prev->x - xmin_point->x, prev->y - xmin_point->y ) > FT_Atan2( next->x - xmin_point->x, next->y - xmin_point->y ) ) o = FT_ORIENTATION_POSTSCRIPT; else o = FT_ORIENTATION_TRUETYPE; if ( orient == FT_ORIENTATION_NONE ) orient = o; else if ( orient != o ) return FT_ORIENTATION_NONE; } } return orient; } #endif /* 0 */ /* documentation is in ftoutln.h */ FT_EXPORT_DEF( FT_Error ) FT_Outline_Embolden( FT_Outline* outline, FT_Pos strength ) { return FT_Outline_EmboldenXY( outline, strength, strength ); } /* documentation is in ftoutln.h */ FT_EXPORT_DEF( FT_Error ) FT_Outline_EmboldenXY( FT_Outline* outline, FT_Pos xstrength, FT_Pos ystrength ) { FT_Vector* points; FT_Int c, first, last; FT_Int orientation; if ( !outline ) return FT_THROW( Invalid_Outline ); xstrength /= 2; ystrength /= 2; if ( xstrength == 0 && ystrength == 0 ) return FT_Err_Ok; orientation = FT_Outline_Get_Orientation( outline ); if ( orientation == FT_ORIENTATION_NONE ) { if ( outline->n_contours ) return FT_THROW( Invalid_Argument ); else return FT_Err_Ok; } points = outline->points; first = 0; for ( c = 0; c < outline->n_contours; c++ ) { FT_Vector in, out, anchor, shift; FT_Fixed l_in, l_out, l_anchor = 0, l, q, d; FT_Int i, j, k; l_in = 0; last = outline->contours[c]; /* pacify compiler */ in.x = in.y = anchor.x = anchor.y = 0; /* Counter j cycles though the points; counter i advances only */ /* when points are moved; anchor k marks the first moved point. */ for ( i = last, j = first, k = -1; j != i && i != k; j = j < last ? j + 1 : first ) { if ( j != k ) { out.x = points[j].x - points[i].x; out.y = points[j].y - points[i].y; l_out = (FT_Fixed)FT_Vector_NormLen( &out ); if ( l_out == 0 ) continue; } else { out = anchor; l_out = l_anchor; } if ( l_in != 0 ) { if ( k < 0 ) { k = i; anchor = in; l_anchor = l_in; } d = FT_MulFix( in.x, out.x ) + FT_MulFix( in.y, out.y ); /* shift only if turn is less than ~160 degrees */ if ( d > -0xF000L ) { d = d + 0x10000L; /* shift components along lateral bisector in proper orientation */ shift.x = in.y + out.y; shift.y = in.x + out.x; if ( orientation == FT_ORIENTATION_TRUETYPE ) shift.x = -shift.x; else shift.y = -shift.y; /* restrict shift magnitude to better handle collapsing segments */ q = FT_MulFix( out.x, in.y ) - FT_MulFix( out.y, in.x ); if ( orientation == FT_ORIENTATION_TRUETYPE ) q = -q; l = FT_MIN( l_in, l_out ); /* non-strict inequalities avoid divide-by-zero when q == l == 0 */ if ( FT_MulFix( xstrength, q ) <= FT_MulFix( l, d ) ) shift.x = FT_MulDiv( shift.x, xstrength, d ); else shift.x = FT_MulDiv( shift.x, l, q ); if ( FT_MulFix( ystrength, q ) <= FT_MulFix( l, d ) ) shift.y = FT_MulDiv( shift.y, ystrength, d ); else shift.y = FT_MulDiv( shift.y, l, q ); } else shift.x = shift.y = 0; for ( ; i != j; i = i < last ? i + 1 : first ) { points[i].x += xstrength + shift.x; points[i].y += ystrength + shift.y; } } else i = j; in = out; l_in = l_out; } first = last + 1; } return FT_Err_Ok; } /* documentation is in ftoutln.h */ FT_EXPORT_DEF( FT_Orientation ) FT_Outline_Get_Orientation( FT_Outline* outline ) { FT_BBox cbox; FT_Int xshift, yshift; FT_Vector* points; FT_Vector v_prev, v_cur; FT_Int c, n, first; FT_Pos area = 0; if ( !outline || outline->n_points <= 0 ) return FT_ORIENTATION_TRUETYPE; /* We use the nonzero winding rule to find the orientation. */ /* Since glyph outlines behave much more `regular' than arbitrary */ /* cubic or quadratic curves, this test deals with the polygon */ /* only that is spanned up by the control points. */ FT_Outline_Get_CBox( outline, &cbox ); /* Handle collapsed outlines to avoid undefined FT_MSB. */ if ( cbox.xMin == cbox.xMax || cbox.yMin == cbox.yMax ) return FT_ORIENTATION_NONE; xshift = FT_MSB( (FT_UInt32)( FT_ABS( cbox.xMax ) | FT_ABS( cbox.xMin ) ) ) - 14; xshift = FT_MAX( xshift, 0 ); yshift = FT_MSB( (FT_UInt32)( cbox.yMax - cbox.yMin ) ) - 14; yshift = FT_MAX( yshift, 0 ); points = outline->points; first = 0; for ( c = 0; c < outline->n_contours; c++ ) { FT_Int last = outline->contours[c]; v_prev.x = points[last].x >> xshift; v_prev.y = points[last].y >> yshift; for ( n = first; n <= last; n++ ) { v_cur.x = points[n].x >> xshift; v_cur.y = points[n].y >> yshift; area = ADD_LONG( area, ( v_cur.y - v_prev.y ) * ( v_cur.x + v_prev.x ) ); v_prev = v_cur; } first = last + 1; } if ( area > 0 ) return FT_ORIENTATION_POSTSCRIPT; else if ( area < 0 ) return FT_ORIENTATION_TRUETYPE; else return FT_ORIENTATION_NONE; } /* END */