1/***************************************************************************/
2/*                                                                         */
3/*  afloader.c                                                             */
4/*                                                                         */
5/*    Auto-fitter glyph loading routines (body).                           */
6/*                                                                         */
7/*  Copyright 2003-2017 by                                                 */
8/*  David Turner, Robert Wilhelm, and Werner Lemberg.                      */
9/*                                                                         */
10/*  This file is part of the FreeType project, and may only be used,       */
11/*  modified, and distributed under the terms of the FreeType project      */
12/*  license, LICENSE.TXT.  By continuing to use, modify, or distribute     */
13/*  this file you indicate that you have read the license and              */
14/*  understand and accept it fully.                                        */
15/*                                                                         */
16/***************************************************************************/
17
18
19#include "afglobal.h"
20#include "afloader.h"
21#include "afhints.h"
22#include "aferrors.h"
23#include "afmodule.h"
24#include "afpic.h"
25
26#include FT_INTERNAL_CALC_H
27
28
29  /* Initialize glyph loader. */
30
31  FT_LOCAL_DEF( void )
32  af_loader_init( AF_Loader      loader,
33                  AF_GlyphHints  hints )
34  {
35    FT_ZERO( loader );
36
37    loader->hints = hints;
38  }
39
40
41  /* Reset glyph loader and compute globals if necessary. */
42
43  FT_LOCAL_DEF( FT_Error )
44  af_loader_reset( AF_Loader  loader,
45                   AF_Module  module,
46                   FT_Face    face )
47  {
48    FT_Error  error = FT_Err_Ok;
49
50
51    loader->face    = face;
52    loader->globals = (AF_FaceGlobals)face->autohint.data;
53
54    if ( !loader->globals )
55    {
56      error = af_face_globals_new( face, &loader->globals, module );
57      if ( !error )
58      {
59        face->autohint.data =
60          (FT_Pointer)loader->globals;
61        face->autohint.finalizer =
62          (FT_Generic_Finalizer)af_face_globals_free;
63      }
64    }
65
66    return error;
67  }
68
69
70  /* Finalize glyph loader. */
71
72  FT_LOCAL_DEF( void )
73  af_loader_done( AF_Loader  loader )
74  {
75    loader->face    = NULL;
76    loader->globals = NULL;
77    loader->hints   = NULL;
78  }
79
80
81#define af_intToFixed( i ) \
82          ( (FT_Fixed)( (FT_UInt32)(i) << 16 ) )
83#define af_fixedToInt( x ) \
84          ( (FT_Short)( ( (FT_UInt32)(x) + 0x8000U ) >> 16 ) )
85#define af_floatToFixed( f ) \
86          ( (FT_Fixed)( (f) * 65536.0 + 0.5 ) )
87
88
89  static FT_Error
90  af_loader_embolden_glyph_in_slot( AF_Loader        loader,
91                                    FT_Face          face,
92                                    AF_StyleMetrics  style_metrics )
93  {
94    FT_Error  error = FT_Err_Ok;
95
96    FT_GlyphSlot           slot    = face->glyph;
97    AF_FaceGlobals         globals = loader->globals;
98    AF_WritingSystemClass  writing_system_class;
99
100    FT_Pos  stdVW = 0;
101    FT_Pos  stdHW = 0;
102
103    FT_Bool  size_changed = face->size->metrics.x_ppem
104                              != globals->stem_darkening_for_ppem;
105
106    FT_Fixed  em_size  = af_intToFixed( face->units_per_EM );
107    FT_Fixed  em_ratio = FT_DivFix( af_intToFixed( 1000 ), em_size );
108
109    FT_Matrix  scale_down_matrix = { 0x10000L, 0, 0, 0x10000L };
110
111
112    /* Skip stem darkening for broken fonts. */
113    if ( !face->units_per_EM )
114    {
115      error = FT_ERR( Corrupted_Font_Header );
116      goto Exit;
117    }
118
119    /*
120     *  We depend on the writing system (script analyzers) to supply
121     *  standard widths for the script of the glyph we are looking at.  If
122     *  it can't deliver, stem darkening is disabled.
123     */
124    writing_system_class =
125      AF_WRITING_SYSTEM_CLASSES_GET[style_metrics->style_class->writing_system];
126
127    if ( writing_system_class->style_metrics_getstdw )
128      writing_system_class->style_metrics_getstdw( style_metrics,
129                                                   &stdHW,
130                                                   &stdVW );
131    else
132    {
133      error = FT_ERR( Unimplemented_Feature );
134      goto Exit;
135    }
136
137    if ( size_changed                                               ||
138         ( stdVW > 0 && stdVW != globals->standard_vertical_width ) )
139    {
140      FT_Fixed  darken_by_font_units_x, darken_x;
141
142
143      darken_by_font_units_x =
144        af_intToFixed( af_loader_compute_darkening( loader,
145                                                    face,
146                                                    stdVW ) );
147      darken_x = FT_DivFix( FT_MulFix( darken_by_font_units_x,
148                                       face->size->metrics.x_scale ),
149                            em_ratio );
150
151      globals->standard_vertical_width = stdVW;
152      globals->stem_darkening_for_ppem = face->size->metrics.x_ppem;
153      globals->darken_x                = af_fixedToInt( darken_x );
154    }
155
156    if ( size_changed                                                 ||
157         ( stdHW > 0 && stdHW != globals->standard_horizontal_width ) )
158    {
159      FT_Fixed  darken_by_font_units_y, darken_y;
160
161
162      darken_by_font_units_y =
163        af_intToFixed( af_loader_compute_darkening( loader,
164                                                    face,
165                                                    stdHW ) );
166      darken_y = FT_DivFix( FT_MulFix( darken_by_font_units_y,
167                                       face->size->metrics.y_scale ),
168                            em_ratio );
169
170      globals->standard_horizontal_width = stdHW;
171      globals->stem_darkening_for_ppem   = face->size->metrics.x_ppem;
172      globals->darken_y                  = af_fixedToInt( darken_y );
173
174      /*
175       *  Scale outlines down on the Y-axis to keep them inside their blue
176       *  zones.  The stronger the emboldening, the stronger the downscaling
177       *  (plus heuristical padding to prevent outlines still falling out
178       *  their zones due to rounding).
179       *
180       *  Reason: `FT_Outline_Embolden' works by shifting the rightmost
181       *  points of stems farther to the right, and topmost points farther
182       *  up.  This positions points on the Y-axis outside their
183       *  pre-computed blue zones and leads to distortion when applying the
184       *  hints in the code further below.  Code outside this emboldening
185       *  block doesn't know we are presenting it with modified outlines the
186       *  analyzer didn't see!
187       *
188       *  An unfortunate side effect of downscaling is that the emboldening
189       *  effect is slightly decreased.  The loss becomes more pronounced
190       *  versus the CFF driver at smaller sizes, e.g., at 9ppem and below.
191       */
192      globals->scale_down_factor =
193        FT_DivFix( em_size - ( darken_by_font_units_y + af_intToFixed( 8 ) ),
194                   em_size );
195    }
196
197    FT_Outline_EmboldenXY( &slot->outline,
198                           globals->darken_x,
199                           globals->darken_y );
200
201    scale_down_matrix.yy = globals->scale_down_factor;
202    FT_Outline_Transform( &slot->outline, &scale_down_matrix );
203
204  Exit:
205    return error;
206  }
207
208
209  /* Load the glyph at index into the current slot of a face and hint it. */
210
211  FT_LOCAL_DEF( FT_Error )
212  af_loader_load_glyph( AF_Loader  loader,
213                        AF_Module  module,
214                        FT_Face    face,
215                        FT_UInt    glyph_index,
216                        FT_Int32   load_flags )
217  {
218    FT_Error  error;
219
220    FT_Size           size     = face->size;
221    FT_GlyphSlot      slot     = face->glyph;
222    FT_Slot_Internal  internal = slot->internal;
223    FT_GlyphLoader    gloader  = internal->loader;
224
225    AF_GlyphHints          hints         = loader->hints;
226    AF_ScalerRec           scaler;
227    AF_StyleMetrics        style_metrics;
228    FT_UInt                style_options = AF_STYLE_NONE_DFLT;
229    AF_StyleClass          style_class;
230    AF_WritingSystemClass  writing_system_class;
231
232#ifdef FT_CONFIG_OPTION_PIC
233    AF_FaceGlobals  globals = loader->globals;
234#endif
235
236
237    if ( !size )
238      return FT_THROW( Invalid_Size_Handle );
239
240    FT_ZERO( &scaler );
241
242    /*
243     *  TODO: This code currently doesn't support fractional advance widths,
244     *  i.e., placing hinted glyphs at anything other than integer
245     *  x-positions.  This is only relevant for the warper code, which
246     *  scales and shifts glyphs to optimize blackness of stems (hinting on
247     *  the x-axis by nature places things on pixel integers, hinting on the
248     *  y-axis only, i.e., LIGHT mode, doesn't touch the x-axis).  The delta
249     *  values of the scaler would need to be adjusted.
250     */
251    scaler.face    = face;
252    scaler.x_scale = size->metrics.x_scale;
253    scaler.x_delta = 0;
254    scaler.y_scale = size->metrics.y_scale;
255    scaler.y_delta = 0;
256
257    scaler.render_mode = FT_LOAD_TARGET_MODE( load_flags );
258    scaler.flags       = 0;
259
260    /* note that the fallback style can't be changed anymore */
261    /* after the first call of `ta_loader_load_glyph'        */
262    error = af_loader_reset( loader, module, face );
263    if ( error )
264      goto Exit;
265
266#ifdef FT_OPTION_AUTOFIT2
267    /* XXX: undocumented hook to activate the latin2 writing system. */
268    if ( load_flags & ( 1UL << 20 ) )
269      style_options = AF_STYLE_LTN2_DFLT;
270#endif
271
272    /*
273     *  Glyphs (really code points) are assigned to scripts.  Script
274     *  analysis is done lazily: For each glyph that passes through here,
275     *  the corresponding script analyzer is called, but returns immediately
276     *  if it has been run already.
277     */
278    error = af_face_globals_get_metrics( loader->globals, glyph_index,
279                                         style_options, &style_metrics );
280    if ( error )
281      goto Exit;
282
283    style_class          = style_metrics->style_class;
284    writing_system_class =
285      AF_WRITING_SYSTEM_CLASSES_GET[style_class->writing_system];
286
287    loader->metrics = style_metrics;
288
289    if ( writing_system_class->style_metrics_scale )
290      writing_system_class->style_metrics_scale( style_metrics, &scaler );
291    else
292      style_metrics->scaler = scaler;
293
294    if ( writing_system_class->style_hints_init )
295    {
296      error = writing_system_class->style_hints_init( hints,
297                                                      style_metrics );
298      if ( error )
299        goto Exit;
300    }
301
302    /*
303     *  Do the main work of `af_loader_load_glyph'.  Note that we never have
304     *  to deal with composite glyphs as those get loaded into
305     *  FT_GLYPH_FORMAT_OUTLINE by the recursed `FT_Load_Glyph' function.
306     *  In the rare cases where FT_LOAD_NO_RECURSE is set, it implies
307     *  FT_LOAD_NO_SCALE and as such the auto-hinter is never called.
308     */
309    load_flags |=  FT_LOAD_NO_SCALE         |
310                   FT_LOAD_IGNORE_TRANSFORM |
311                   FT_LOAD_LINEAR_DESIGN;
312    load_flags &= ~FT_LOAD_RENDER;
313
314    error = FT_Load_Glyph( face, glyph_index, load_flags );
315    if ( error )
316      goto Exit;
317
318    /*
319     *  Apply stem darkening (emboldening) here before hints are applied to
320     *  the outline.  Glyphs are scaled down proportionally to the
321     *  emboldening so that curve points don't fall outside their
322     *  precomputed blue zones.
323     *
324     *  Any emboldening done by the font driver (e.g., the CFF driver)
325     *  doesn't reach here because the autohinter loads the unprocessed
326     *  glyphs in font units for analysis (functions `af_*_metrics_init_*')
327     *  and then above to prepare it for the rasterizers by itself,
328     *  independently of the font driver.  So emboldening must be done here,
329     *  within the autohinter.
330     *
331     *  All glyphs to be autohinted pass through here one by one.  The
332     *  standard widths can therefore change from one glyph to the next,
333     *  depending on what script a glyph is assigned to (each script has its
334     *  own set of standard widths and other metrics).  The darkening amount
335     *  must therefore be recomputed for each size and
336     *  `standard_{vertical,horizontal}_width' change.
337     *
338     *  Ignore errors and carry on without emboldening.
339     */
340    if ( !module->no_stem_darkening )
341      af_loader_embolden_glyph_in_slot( loader, face, style_metrics );
342
343    loader->transformed = internal->glyph_transformed;
344    if ( loader->transformed )
345    {
346      FT_Matrix  inverse;
347
348
349      loader->trans_matrix = internal->glyph_matrix;
350      loader->trans_delta  = internal->glyph_delta;
351
352      inverse = loader->trans_matrix;
353      if ( !FT_Matrix_Invert( &inverse ) )
354        FT_Vector_Transform( &loader->trans_delta, &inverse );
355    }
356
357    switch ( slot->format )
358    {
359    case FT_GLYPH_FORMAT_OUTLINE:
360      /* translate the loaded glyph when an internal transform is needed */
361      if ( loader->transformed )
362        FT_Outline_Translate( &slot->outline,
363                              loader->trans_delta.x,
364                              loader->trans_delta.y );
365
366      /* compute original horizontal phantom points */
367      /* (and ignore vertical ones)                 */
368      loader->pp1.x = hints->x_delta;
369      loader->pp1.y = hints->y_delta;
370      loader->pp2.x = FT_MulFix( slot->metrics.horiAdvance,
371                                 hints->x_scale ) + hints->x_delta;
372      loader->pp2.y = hints->y_delta;
373
374      /* be sure to check for spacing glyphs */
375      if ( slot->outline.n_points == 0 )
376        goto Hint_Metrics;
377
378      /* now load the slot image into the auto-outline */
379      /* and run the automatic hinting process         */
380      if ( writing_system_class->style_hints_apply )
381        writing_system_class->style_hints_apply( glyph_index,
382                                                 hints,
383                                                 &gloader->base.outline,
384                                                 style_metrics );
385
386      /* we now need to adjust the metrics according to the change in */
387      /* width/positioning that occurred during the hinting process   */
388      if ( scaler.render_mode != FT_RENDER_MODE_LIGHT )
389      {
390        FT_Pos  old_rsb, old_lsb, new_lsb;
391        FT_Pos  pp1x_uh, pp2x_uh;
392
393        AF_AxisHints  axis  = &hints->axis[AF_DIMENSION_HORZ];
394        AF_Edge       edge1 = axis->edges;         /* leftmost edge  */
395        AF_Edge       edge2 = edge1 +
396                              axis->num_edges - 1; /* rightmost edge */
397
398
399        if ( axis->num_edges > 1 && AF_HINTS_DO_ADVANCE( hints ) )
400        {
401          old_rsb = loader->pp2.x - edge2->opos;
402          /* loader->pp1.x is always zero at this point of time */
403          old_lsb = edge1->opos /* - loader->pp1.x */;
404          new_lsb = edge1->pos;
405
406          /* remember unhinted values to later account */
407          /* for rounding errors                       */
408          pp1x_uh = new_lsb    - old_lsb;
409          pp2x_uh = edge2->pos + old_rsb;
410
411          /* prefer too much space over too little space */
412          /* for very small sizes                        */
413
414          if ( old_lsb < 24 )
415            pp1x_uh -= 8;
416
417          if ( old_rsb < 24 )
418            pp2x_uh += 8;
419
420          loader->pp1.x = FT_PIX_ROUND( pp1x_uh );
421          loader->pp2.x = FT_PIX_ROUND( pp2x_uh );
422
423          if ( loader->pp1.x >= new_lsb && old_lsb > 0 )
424            loader->pp1.x -= 64;
425
426          if ( loader->pp2.x <= edge2->pos && old_rsb > 0 )
427            loader->pp2.x += 64;
428
429          slot->lsb_delta = loader->pp1.x - pp1x_uh;
430          slot->rsb_delta = loader->pp2.x - pp2x_uh;
431        }
432        else
433        {
434          FT_Pos  pp1x = loader->pp1.x;
435          FT_Pos  pp2x = loader->pp2.x;
436
437
438          loader->pp1.x = FT_PIX_ROUND( pp1x );
439          loader->pp2.x = FT_PIX_ROUND( pp2x );
440
441          slot->lsb_delta = loader->pp1.x - pp1x;
442          slot->rsb_delta = loader->pp2.x - pp2x;
443        }
444      }
445      else
446      {
447        FT_Pos  pp1x = loader->pp1.x;
448        FT_Pos  pp2x = loader->pp2.x;
449
450
451        loader->pp1.x = FT_PIX_ROUND( pp1x + hints->xmin_delta );
452        loader->pp2.x = FT_PIX_ROUND( pp2x + hints->xmax_delta );
453
454        slot->lsb_delta = loader->pp1.x - pp1x;
455        slot->rsb_delta = loader->pp2.x - pp2x;
456      }
457
458      break;
459
460    default:
461      /* we don't support other formats (yet?) */
462      error = FT_THROW( Unimplemented_Feature );
463    }
464
465  Hint_Metrics:
466    {
467      FT_BBox    bbox;
468      FT_Vector  vvector;
469
470
471      vvector.x = slot->metrics.vertBearingX - slot->metrics.horiBearingX;
472      vvector.y = slot->metrics.vertBearingY - slot->metrics.horiBearingY;
473      vvector.x = FT_MulFix( vvector.x, style_metrics->scaler.x_scale );
474      vvector.y = FT_MulFix( vvector.y, style_metrics->scaler.y_scale );
475
476      /* transform the hinted outline if needed */
477      if ( loader->transformed )
478      {
479        FT_Outline_Transform( &gloader->base.outline, &loader->trans_matrix );
480        FT_Vector_Transform( &vvector, &loader->trans_matrix );
481      }
482
483      /* we must translate our final outline by -pp1.x and compute */
484      /* the new metrics                                           */
485      if ( loader->pp1.x )
486        FT_Outline_Translate( &gloader->base.outline, -loader->pp1.x, 0 );
487
488      FT_Outline_Get_CBox( &gloader->base.outline, &bbox );
489
490      bbox.xMin = FT_PIX_FLOOR( bbox.xMin );
491      bbox.yMin = FT_PIX_FLOOR( bbox.yMin );
492      bbox.xMax = FT_PIX_CEIL(  bbox.xMax );
493      bbox.yMax = FT_PIX_CEIL(  bbox.yMax );
494
495      slot->metrics.width        = bbox.xMax - bbox.xMin;
496      slot->metrics.height       = bbox.yMax - bbox.yMin;
497      slot->metrics.horiBearingX = bbox.xMin;
498      slot->metrics.horiBearingY = bbox.yMax;
499
500      slot->metrics.vertBearingX = FT_PIX_FLOOR( bbox.xMin + vvector.x );
501      slot->metrics.vertBearingY = FT_PIX_FLOOR( bbox.yMax + vvector.y );
502
503      /* for mono-width fonts (like Andale, Courier, etc.) we need */
504      /* to keep the original rounded advance width; ditto for     */
505      /* digits if all have the same advance width                 */
506      if ( scaler.render_mode != FT_RENDER_MODE_LIGHT                       &&
507           ( FT_IS_FIXED_WIDTH( slot->face )                              ||
508             ( af_face_globals_is_digit( loader->globals, glyph_index ) &&
509               style_metrics->digits_have_same_width                    ) ) )
510      {
511        slot->metrics.horiAdvance =
512          FT_MulFix( slot->metrics.horiAdvance,
513                     style_metrics->scaler.x_scale );
514
515        /* Set delta values to 0.  Otherwise code that uses them is */
516        /* going to ruin the fixed advance width.                   */
517        slot->lsb_delta = 0;
518        slot->rsb_delta = 0;
519      }
520      else
521      {
522        /* non-spacing glyphs must stay as-is */
523        if ( slot->metrics.horiAdvance )
524          slot->metrics.horiAdvance = loader->pp2.x - loader->pp1.x;
525      }
526
527      slot->metrics.vertAdvance = FT_MulFix( slot->metrics.vertAdvance,
528                                             style_metrics->scaler.y_scale );
529
530      slot->metrics.horiAdvance = FT_PIX_ROUND( slot->metrics.horiAdvance );
531      slot->metrics.vertAdvance = FT_PIX_ROUND( slot->metrics.vertAdvance );
532
533      slot->format  = FT_GLYPH_FORMAT_OUTLINE;
534    }
535
536  Exit:
537    return error;
538  }
539
540
541  /*
542   * Compute amount of font units the face should be emboldened by, in
543   * analogy to the CFF driver's `cf2_computeDarkening' function.  See there
544   * for details of the algorithm.
545   *
546   * XXX: Currently a crude adaption of the original algorithm.  Do better?
547   */
548  FT_LOCAL_DEF( FT_Int32 )
549  af_loader_compute_darkening( AF_Loader  loader,
550                               FT_Face    face,
551                               FT_Pos     standard_width )
552  {
553    AF_Module  module = loader->globals->module;
554
555    FT_UShort  units_per_EM;
556    FT_Fixed   ppem, em_ratio;
557    FT_Fixed   stem_width, stem_width_per_1000, scaled_stem, darken_amount;
558    FT_Int     log_base_2;
559    FT_Int     x1, y1, x2, y2, x3, y3, x4, y4;
560
561
562    ppem         = FT_MAX( af_intToFixed( 4 ),
563                           af_intToFixed( face->size->metrics.x_ppem ) );
564    units_per_EM = face->units_per_EM;
565
566    em_ratio = FT_DivFix( af_intToFixed( 1000 ),
567                          af_intToFixed ( units_per_EM ) );
568    if ( em_ratio < af_floatToFixed( .01 ) )
569    {
570      /* If something goes wrong, don't embolden. */
571      return 0;
572    }
573
574    x1 = module->darken_params[0];
575    y1 = module->darken_params[1];
576    x2 = module->darken_params[2];
577    y2 = module->darken_params[3];
578    x3 = module->darken_params[4];
579    y3 = module->darken_params[5];
580    x4 = module->darken_params[6];
581    y4 = module->darken_params[7];
582
583    if ( standard_width <= 0 )
584    {
585      stem_width          = af_intToFixed( 75 ); /* taken from cf2font.c */
586      stem_width_per_1000 = stem_width;
587    }
588    else
589    {
590      stem_width          = af_intToFixed( standard_width );
591      stem_width_per_1000 = FT_MulFix( stem_width, em_ratio );
592    }
593
594    log_base_2 = FT_MSB( (FT_UInt32)stem_width_per_1000 ) +
595                 FT_MSB( (FT_UInt32)ppem );
596
597    if ( log_base_2 >= 46 )
598    {
599      /* possible overflow */
600      scaled_stem = af_intToFixed( x4 );
601    }
602    else
603      scaled_stem = FT_MulFix( stem_width_per_1000, ppem );
604
605    /* now apply the darkening parameters */
606    if ( scaled_stem < af_intToFixed( x1 ) )
607      darken_amount = FT_DivFix( af_intToFixed( y1 ), ppem );
608
609    else if ( scaled_stem < af_intToFixed( x2 ) )
610    {
611      FT_Int  xdelta = x2 - x1;
612      FT_Int  ydelta = y2 - y1;
613      FT_Int  x      = stem_width_per_1000 -
614                       FT_DivFix( af_intToFixed( x1 ), ppem );
615
616
617      if ( !xdelta )
618        goto Try_x3;
619
620      darken_amount = FT_MulDiv( x, ydelta, xdelta ) +
621                      FT_DivFix( af_intToFixed( y1 ), ppem );
622    }
623
624    else if ( scaled_stem < af_intToFixed( x3 ) )
625    {
626    Try_x3:
627      {
628        FT_Int  xdelta = x3 - x2;
629        FT_Int  ydelta = y3 - y2;
630        FT_Int  x      = stem_width_per_1000 -
631                         FT_DivFix( af_intToFixed( x2 ), ppem );
632
633
634        if ( !xdelta )
635          goto Try_x4;
636
637        darken_amount = FT_MulDiv( x, ydelta, xdelta ) +
638                        FT_DivFix( af_intToFixed( y2 ), ppem );
639      }
640    }
641
642    else if ( scaled_stem < af_intToFixed( x4 ) )
643    {
644    Try_x4:
645      {
646        FT_Int  xdelta = x4 - x3;
647        FT_Int  ydelta = y4 - y3;
648        FT_Int  x      = stem_width_per_1000 -
649                         FT_DivFix( af_intToFixed( x3 ), ppem );
650
651
652        if ( !xdelta )
653          goto Use_y4;
654
655        darken_amount = FT_MulDiv( x, ydelta, xdelta ) +
656                        FT_DivFix( af_intToFixed( y3 ), ppem );
657      }
658    }
659
660    else
661    {
662    Use_y4:
663      darken_amount = FT_DivFix( af_intToFixed( y4 ), ppem );
664    }
665
666    /* Convert darken_amount from per 1000 em to true character space. */
667    return af_fixedToInt( FT_DivFix( darken_amount, em_ratio ) );
668  }
669
670
671/* END */
672