kc3-lang/freetype/src/base/ftoutln.c
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Hash : c136b409
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Date : 2000-05-04T17:24:54
an update to FT_Outline_Funcs used to improve the accuracy of outline decomposition
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src/base/ftoutln.c
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/***************************************************************************/ /* */ /* ftoutln.c */ /* */ /* FreeType outline management (body). */ /* */ /* Copyright 1996-1999 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 <freetype.h> #include <ftconfig.h> #include <ftobjs.h> #include <ftimage.h> #include <ftoutln.h> static const FT_Outline null_outline = { 0, 0, 0, 0, 0, 0 }; /*************************************************************************/ /* */ /* <Function> */ /* FT_Outline_Decompose */ /* */ /* <Description> */ /* Walks over an outline's structure to decompose it into individual */ /* segments and Bezier arcs. This function is also able to emit */ /* `move to' and `close to' operations to indicate the start and end */ /* of new contours in the outline. */ /* */ /* <Input> */ /* outline :: A pointer to the source target. */ /* */ /* interface :: A table of `emitters', i.e,. function pointers called */ /* during decomposition to indicate path operations. */ /* */ /* user :: A typeless pointer which is passed to each emitter */ /* during the decomposition. It can be used to store */ /* the state during the decomposition. */ /* */ /* <Return> */ /* Error code. 0 means sucess. */ /* */ #if 1 EXPORT_FUNC int FT_Outline_Decompose( FT_Outline* outline, FT_Outline_Funcs* interface, void* user ) { #undef SCALED #define SCALED( x ) ( ((x) << shift) - delta ) FT_Vector v_last; FT_Vector v_control; FT_Vector v_start; FT_Vector* point; FT_Vector* limit; char* tags; int n; /* index of contour in outline */ int first; /* index of first point in contour */ int error; char tag; /* current point's state */ int shift = interface->shift; FT_Pos delta = interface->delta; first = 0; for ( n = 0; n < outline->n_contours; n++ ) { int last; /* index of last point in contour */ last = outline->contours[n]; limit = outline->points + last; v_start = outline->points[first]; v_last = outline->points[last]; v_start.x = SCALED(v_start.x); v_start.y = SCALED(v_start.y); 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--; } error = 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); error = 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) { error = 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; error = interface->conic_to( &v_control, &v_middle, user ); if (error) goto Exit; v_control = vec; goto Do_Conic; } error = 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); error = interface->cubic_to( &vec1, &vec2, &vec, user ); if (error) goto Exit; continue; } error = interface->cubic_to( &vec1, &vec2, &v_start, user ); goto Close; } } } /* close the contour with a line segment */ error = interface->line_to( &v_start, user ); Close: if (error) goto Exit; first = last+1; } return 0; Exit: return error; Invalid_Outline: return -1; } #else EXPORT_FUNC int FT_Outline_Decompose( FT_Outline* outline, FT_Outline_Funcs* interface, void* user ) { typedef enum _phases { phase_point, phase_conic, phase_cubic, phase_cubic2 } TPhase; FT_Vector v_first; FT_Vector v_last; FT_Vector v_control; FT_Vector v_start; FT_Vector* point; FT_Vector* limit; char* tags; int n; /* index of contour in outline */ int first; /* index of first point in contour */ int error; char tag; /* current point's state */ first = 0; for ( n = 0; n < outline->n_contours; n++ ) { int last; /* index of last point in contour */ last = outline->contours[n]; limit = outline->points + last; v_first = outline->points[first]; v_last = outline->points[last]; v_start = v_control = v_first; 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--; } error = 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 */ { error = interface->line_to( point, user ); if (error) goto Exit; continue; } case FT_Curve_Tag_Conic: /* consume conic arcs */ { v_control = point[0]; Do_Conic: if (point < limit) { FT_Vector v_middle; point++; tags++; tag = FT_CURVE_TAG( tags[0] ); if (tag == FT_Curve_Tag_On) { error = interface->conic_to( &v_control, point, user ); if (error) goto Exit; continue; } if (tag != FT_Curve_Tag_Conic) goto Invalid_Outline; v_middle.x = (v_control.x + point->x)/2; v_middle.y = (v_control.y + point->y)/2; error = interface->conic_to( &v_control, &v_middle, user ); if (error) goto Exit; v_control = point[0]; goto Do_Conic; } error = interface->conic_to( &v_control, &v_start, user ); goto Close; } default: /* FT_Curve_Tag_Cubic */ { if ( point+1 > limit || FT_CURVE_TAG( tags[1] ) != FT_Curve_Tag_Cubic ) goto Invalid_Outline; point += 2; tags += 2; if (point <= limit) { error = interface->cubic_to( point-2, point-1, point, user ); if (error) goto Exit; continue; } error = interface->cubic_to( point-2, point-1, &v_start, user ); goto Close; } } } /* close the contour with a line segment */ error = interface->line_to( &v_start, user ); Close: if (error) goto Exit; first = last+1; } return 0; Exit: return error; Invalid_Outline: return -1; } #endif /*************************************************************************/ /* */ /* <Function> */ /* FT_Outline_New */ /* */ /* <Description> */ /* Creates a new outline of a given size. */ /* */ /* <Input> */ /* library :: A handle to the library object from where the */ /* outline is allocated. Note however that the new */ /* outline will NOT necessarily be FREED when */ /* destroying the library, by FT_Done_FreeType(). */ /* */ /* numPoints :: The maximum number of points within the outline. */ /* */ /* numContours :: The maximum number of contours within the outline. */ /* */ /* <Output> */ /* outline :: A handle to the new outline. NULL in case of */ /* error. */ /* */ /* <Return> */ /* FreeType error code. 0 means success. */ /* */ /* <MT-Note> */ /* No. */ /* */ /* <Note> */ /* The reason why this function takes a `library' parameter is simply */ /* to use the library's memory allocator. You can copy the source */ /* code of this function, replacing allocations with `malloc()' if */ /* you want to control where the objects go. */ /* */ BASE_FUNC FT_Error FT_Outline_New( FT_Library library, FT_UInt numPoints, FT_Int numContours, FT_Outline* outline ) { FT_Error error; FT_Memory memory; if ( !outline ) return FT_Err_Invalid_Argument; *outline = null_outline; memory = library->memory; if ( ALLOC_ARRAY( outline->points, numPoints * 2L, FT_Pos ) || ALLOC_ARRAY( outline->tags, numPoints, FT_Byte ) || ALLOC_ARRAY( outline->contours, numContours, FT_UShort ) ) goto Fail; outline->n_points = (FT_UShort)numPoints; outline->n_contours = (FT_Short)numContours; outline->flags |= ft_outline_owner; return FT_Err_Ok; Fail: outline->flags |= ft_outline_owner; FT_Outline_Done( library, outline ); return error; } /*************************************************************************/ /* */ /* <Function> */ /* FT_Outline_Done */ /* */ /* <Description> */ /* Destroys an outline created with FT_Outline_New(). */ /* */ /* <Input> */ /* library :: A handle of the library object used to allocate the */ /* outline. */ /* */ /* outline :: A pointer to the outline object to be discarded. */ /* */ /* <Return> */ /* FreeType error code. 0 means success. */ /* */ /* <MT-Note> */ /* No. */ /* */ /* <Note> */ /* If the outline's `owner' field is not set, only the outline */ /* descriptor will be released. */ /* */ /* The reason why this function takes an `outline' parameter is */ /* simply to use FT_Alloc()/FT_Free(). You can copy the source code */ /* of this function, replacing allocations with `malloc()' in your */ /* application if you want something simpler. */ /* */ BASE_FUNC FT_Error FT_Outline_Done( FT_Library library, FT_Outline* outline ) { FT_Memory memory = library->memory; if ( outline ) { if ( outline->flags & ft_outline_owner ) { FREE( outline->points ); FREE( outline->tags ); FREE( outline->contours ); } *outline = null_outline; return FT_Err_Ok; } else return FT_Err_Invalid_Argument; } /*************************************************************************/ /* */ /* <Function> */ /* FT_Outline_Get_CBox */ /* */ /* <Description> */ /* Returns an outline's `control box'. The control box encloses all */ /* the outline's points, including Bezier control points. Though it */ /* coincides with the exact bounding box for most glyphs, it can be */ /* slightly larger in some situations (like when rotating an outline */ /* which contains Bezier outside arcs). */ /* */ /* Computing the control box is very fast, while getting the bounding */ /* box can take much more time as it needs to walk over all segments */ /* and arcs in the outline. To get the latter, you can use the */ /* `ftbbox' component which is dedicated to this single task. */ /* */ /* <Input> */ /* outline :: A pointer to the source outline descriptor. */ /* */ /* <Output> */ /* cbox :: The outline's control box. */ /* */ /* <MT-Note> */ /* Yes. */ /* */ BASE_FUNC void FT_Outline_Get_CBox( FT_Outline* outline, FT_BBox* cbox ) { FT_Pos xMin, yMin, xMax, yMax; if ( outline && cbox ) { 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; } } cbox->xMin = xMin; cbox->xMax = xMax; cbox->yMin = yMin; cbox->yMax = yMax; } } /*************************************************************************/ /* */ /* <Function> */ /* FT_Outline_Translate */ /* */ /* <Description> */ /* Applies a simple translation to the points of an outline. */ /* */ /* <Input> */ /* outline :: A pointer to the target outline descriptor. */ /* xOffset :: The horizontal offset. */ /* yOffset :: The vertical offset. */ /* */ /* <MT-Note> */ /* Yes. */ /* */ BASE_FUNC void FT_Outline_Translate( FT_Outline* outline, FT_Pos xOffset, FT_Pos yOffset ) { FT_UShort n; FT_Vector* vec = outline->points; for ( n = 0; n < outline->n_points; n++ ) { vec->x += xOffset; vec->y += yOffset; vec++; } } /*************************************************************************/ /* */ /* <Function> */ /* FT_Outline_Reverse */ /* */ /* <Description> */ /* Reverse the drawing direction of an outline. This is used to */ /* ensure consistent fill conventions for mirrored glyphs.. */ /* */ /* <Input> */ /* outline :: A pointer to the target outline descriptor. */ /* */ /* <Note> */ /* This functions toggles the bit flag ft_outline_reverse_fill in */ /* the outline's "flags" field.. */ /* */ BASE_FUNC void FT_Outline_Reverse( FT_Outline* outline ) { FT_UShort n; FT_Int first, last; 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; char swap; while (p < q) { swap = *p; *p = *q; *q = swap; p++; q--; } } first = last+1; } outline->flags ^= ft_outline_reverse_fill; } /*************************************************************************/ /* */ /* <Function> */ /* FT_Done_GlyphZone */ /* */ /* <Description> */ /* Deallocates a glyph zone. */ /* */ /* <Input> */ /* zone :: pointer to the target glyph zone. */ /* */ BASE_FUNC void FT_Done_GlyphZone( FT_GlyphZone* zone ) { FT_Memory memory = zone->memory; FREE( zone->contours ); FREE( zone->tags ); FREE( zone->cur ); FREE( zone->org ); zone->max_points = zone->n_points = 0; zone->max_contours = zone->n_contours = 0; } /*************************************************************************/ /* */ /* <Function> */ /* FT_New_GlyphZone */ /* */ /* <Description> */ /* Allocates a new glyph zone. */ /* */ /* <Input> */ /* memory :: A handle to the current memory object. */ /* */ /* maxPoints :: The capacity of glyph zone in points. */ /* */ /* maxContours :: The capacity of glyph zone in contours. */ /* */ /* <Output> */ /* zone :: A pointer to the target glyph zone record. */ /* */ /* <Return> */ /* FreeType error code. 0 means success. */ /* */ BASE_FUNC FT_Error FT_New_GlyphZone( FT_Memory memory, FT_UShort maxPoints, FT_Short maxContours, FT_GlyphZone* zone ) { FT_Error error; if (maxPoints > 0) maxPoints += 2; MEM_Set( zone, 0, sizeof(*zone) ); zone->memory = memory; if ( ALLOC_ARRAY( zone->org, maxPoints*2, FT_F26Dot6 ) || ALLOC_ARRAY( zone->cur, maxPoints*2, FT_F26Dot6 ) || ALLOC_ARRAY( zone->tags, maxPoints, FT_Byte ) || ALLOC_ARRAY( zone->contours, maxContours, FT_UShort ) ) { FT_Done_GlyphZone(zone); } return error; } /*************************************************************************/ /* */ /* <Function> */ /* FT_Update_GlyphZone */ /* */ /* <Description> */ /* Checks the size of a zone and reallocates it if necessary. */ /* */ /* <Input> */ /* newPoints :: The new capacity for points. We add two slots for */ /* phantom points. */ /* */ /* newContours :: The new capacity for contours. */ /* */ /* <InOut> */ /* zone :: The address of the target zone. */ /* */ /* maxPoints :: The address of the zone's current capacity for */ /* points. */ /* */ /* maxContours :: The address of the zone's current capacity for */ /* contours. */ /* */ BASE_FUNC FT_Error FT_Update_GlyphZone( FT_GlyphZone* zone, FT_UShort newPoints, FT_Short newContours ) { FT_Error error = FT_Err_Ok; FT_Memory memory = zone->memory; newPoints += 2; if ( zone->max_points < newPoints ) { /* reallocate the points arrays */ if ( REALLOC_ARRAY( zone->org, zone->max_points*2, newPoints*2, FT_F26Dot6 ) || REALLOC_ARRAY( zone->cur, zone->max_points*2, newPoints*2, FT_F26Dot6 ) || REALLOC_ARRAY( zone->tags, zone->max_points*2, newPoints, FT_Byte ) ) goto Exit; zone->max_points = newPoints; } if ( zone->max_contours < newContours ) { /* reallocate the contours array */ if ( REALLOC_ARRAY( zone->contours, zone->max_contours, newContours, FT_UShort ) ) goto Exit; zone->max_contours = newContours; } Exit: return error; } /*************************************************************************/ /* */ /* <Function> */ /* FT_Outline_Get_Bitmap */ /* */ /* <Description> */ /* Renders an outline within a bitmap. The outline's image is simply */ /* or-ed to the target bitmap. */ /* */ /* */ /* <Input> */ /* library :: A handle to a FreeType library object. */ /* outline :: A pointer to the source outline descriptor. */ /* map :: A pointer to the target bitmap descriptor. */ /* */ /* <Return> */ /* FreeType error code. 0 means success. */ /* */ /* <MT-Note> */ /* YES. Rendering is synchronized, so that concurrent calls to the */ /* scan-line converter will be serialized. */ /* */ /* <Note> */ /* This function does NOT CREATE the bitmap, it only renders an */ /* outline image within the one you pass to it! */ /* */ /* It will use the raster correponding to the default glyph format. */ /* */ EXPORT_FUNC FT_Error FT_Outline_Get_Bitmap( FT_Library library, FT_Outline* outline, FT_Bitmap* map ) { FT_Error error; FT_Raster raster; FT_Raster_Funcs funcs; FT_Raster_Params params; error = FT_Err_Invalid_Glyph_Format; raster = FT_Get_Raster( library, ft_glyph_format_outline, &funcs ); if (!raster) goto Exit; params.target = map; params.source = outline; params.flags = 0; if (map->pixel_mode == ft_pixel_mode_grays) params.flags |= ft_raster_flag_aa; error = funcs.raster_render( raster, ¶ms ); Exit: return error; } /*************************************************************************/ /* */ /* <Function> */ /* FT_Outline_Render */ /* */ /* <Description> */ /* Renders an outline within a bitmap using the current scan-convert */ /* This functions uses a FT_Raster_Params as argument, allowing */ /* advanced features like direct composition/translucency, etc.. */ /* */ /* <Input> */ /* library :: A handle to a FreeType library object. */ /* outline :: A pointer to the source outline descriptor. */ /* params :: A pointer to a FT_Raster_Params used to describe */ /* the rendering operation */ /* */ /* <Return> */ /* FreeType error code. 0 means success. */ /* */ /* <MT-Note> */ /* YES. Rendering is synchronized, so that concurrent calls to the */ /* scan-line converter will be serialized. */ /* */ /* <Note> */ /* You should know what you're doing and the role of FT_Raster_Params */ /* to use this function. */ /* */ /* the field "params.source" will be set to "outline" before the */ /* scan converter is called, which means that the value you give it */ /* is actually ignored.. */ /* */ EXPORT_FUNC FT_Error FT_Outline_Render( FT_Library library, FT_Outline* outline, FT_Raster_Params* params ) { FT_Error error; FT_Raster raster; FT_Raster_Funcs funcs; error = FT_Err_Invalid_Glyph_Format; raster = FT_Get_Raster( library, ft_glyph_format_outline, &funcs ); if (!raster) goto Exit; params->source = (void*)outline; error = funcs.raster_render( raster, params ); Exit: return error; } /*************************************************************************/ /*************************************************************************/ /*************************************************************************/ /**** ****/ /**** The following functions are not used by the font drivers ****/ /**** but they are provided as a convenience for client apps. ****/ /**** ****/ /**** Note that they will not be compiled if the configuration ****/ /**** macro FT_CONFIG_OPTION_NO_CONVENIENCE_FUNCS is defined ****/ /**** ****/ /*************************************************************************/ /*************************************************************************/ /*************************************************************************/ #ifndef FT_CONFIG_OPTION_NO_CONVENIENCE_FUNCS /*************************************************************************/ /* */ /* <Function> */ /* FT_Outline_Copy */ /* */ /* <Description> */ /* Copies an outline into another one. Both objects must have the */ /* same sizes (number of points & number of contours) when this */ /* function is called. */ /* */ /* <Input> */ /* source :: A handle to the source outline. */ /* target :: A handle to the target outline. */ /* */ /* <Return> */ /* FreeType error code. 0 means success. */ /* */ BASE_FUNC FT_Error FT_Outline_Copy( FT_Outline* source, FT_Outline* target ) { FT_Int is_owner; if ( !source || !target || source->n_points != target->n_points || source->n_contours != target->n_contours ) return FT_Err_Invalid_Argument; MEM_Copy( target->points, source->points, source->n_points * 2 * sizeof ( FT_Pos ) ); MEM_Copy( target->tags, source->tags, source->n_points * sizeof ( FT_Byte ) ); MEM_Copy( target->contours, source->contours, source->n_contours * sizeof ( FT_Short ) ); /* 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; } /*************************************************************************/ /* */ /* <Function> */ /* FT_Outline_Transform */ /* */ /* <Description> */ /* Applies a simple 2x2 matrix to all of an outline's points. Useful */ /* for applying rotations, slanting, flipping, etc. */ /* */ /* <Input> */ /* outline :: A pointer to the target outline descriptor. */ /* matrix :: A pointer to the transformation matrix. */ /* */ /* <MT-Note> */ /* Yes. */ /* */ /* <Note> */ /* You can use FT_Outline_Translate() if you need to translate the */ /* outline's points. */ /* */ BASE_FUNC void FT_Outline_Transform( FT_Outline* outline, FT_Matrix* matrix ) { FT_UShort n; FT_Vector* vec; vec = outline->points; for ( n = 0; n < outline->n_points; n++ ) { FT_Pos x, y; x = FT_MulFix( vec->x, matrix->xx ) + FT_MulFix( vec->y, matrix->xy ); y = FT_MulFix( vec->x, matrix->yx ) + FT_MulFix( vec->y, matrix->yy ); vec->x = x; vec->y = y; vec++; } } /*************************************************************************/ /* */ /* <Function> */ /* FT_Vector_Transform */ /* */ /* <Description> */ /* Transforms a single vector through a 2x2 matrix. */ /* */ /* <InOut> */ /* vector :: The target vector to transform */ /* */ /* <Input> */ /* matrix :: A pointer to the source 2x2 matrix. */ /* */ /* <MT-Note> */ /* Yes. */ /* */ EXPORT_DEF void FT_Vector_Transform( FT_Vector* vector, FT_Matrix* matrix ) { FT_Pos xz, yz; 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; } /*************************************************************************/ /* */ /* <Function> */ /* FT_Matrix_Multiply */ /* */ /* <Description> */ /* Performs the matrix operation `b = a*b'. */ /* */ /* <Input> */ /* a :: A pointer to matrix `a'. */ /* */ /* <InOut> */ /* b :: A pointer to matrix `b'. */ /* */ /* <MT-Note> */ /* Yes. */ /* */ BASE_FUNC void FT_Matrix_Multiply( FT_Matrix* a, FT_Matrix* b ) { FT_Fixed xx, xy, yx, yy; xx = FT_MulFix( a->xx, b->xx ) + FT_MulFix( a->xy, b->yx ); xy = FT_MulFix( a->xx, b->xy ) + FT_MulFix( a->xy, b->yy ); yx = FT_MulFix( a->yx, b->xx ) + FT_MulFix( a->yy, b->yx ); yy = FT_MulFix( a->yx, b->xy ) + FT_MulFix( a->yy, b->yy ); b->xx = xx; b->xy = xy; b->yx = yx; b->yy = yy; } /*************************************************************************/ /* */ /* <Function> */ /* FT_Matrix_Invert */ /* */ /* <Description> */ /* Inverts a 2x2 matrix. Returns an error if it can't be inverted. */ /* */ /* <InOut> */ /* matrix :: A pointer to the target matrix. Remains untouched in */ /* case of error. */ /* */ /* <Return> */ /* FreeType error code. 0 means success. */ /* */ /* <MT-Note> */ /* Yes. */ /* */ BASE_FUNC FT_Error FT_Matrix_Invert( FT_Matrix* matrix ) { FT_Pos delta, xx, yy; /* compute discriminant */ delta = FT_MulFix( matrix->xx, matrix->yy ) - FT_MulFix( matrix->xy, matrix->yx ); if ( !delta ) return FT_Err_Invalid_Argument; /* matrix can't be inverted */ matrix->xy = - FT_DivFix( matrix->xy, delta ); matrix->yx = - FT_DivFix( matrix->yx, delta ); xx = matrix->xx; yy = matrix->yy; matrix->xx = FT_DivFix( yy, delta ); matrix->yy = FT_DivFix( xx, delta ); return FT_Err_Ok; } #endif /* END */