adg/adg-path.c

   1 /* ADG - Automatic Drawing Generation
   2  * Copyright (C) 2007,2008,2009 Nicola Fontana <ntd at entidi.it>
   3  *
   4  * This library is free software; you can redistribute it and/or
   5  * modify it under the terms of the GNU Lesser General Public
   6  * License as published by the Free Software Foundation; either
   7  * version 2 of the License, or (at your option) any later version.
   8  *
   9  * This library is distributed in the hope that it will be useful,
  10  * but WITHOUT ANY WARRANTY; without even the implied warranty of
  11  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  12  * Lesser General Public License for more details.
  13  *
  14  * You should have received a copy of the GNU Lesser General Public
  15  * License along with this library; if not, write to the
  16  * Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
  17  * Boston, MA  02110-1301, USA.
  18  */
  19
  20
  21 /**
  22  * SECTION:adg-path
  23  * @short_description: The basic model representing a generic path
  24  *
  25  * The #AdgPath model represents a virtual #CpmlPath: this class
  26  * implements methods to create the path and provides additional
  27  * operations specific to technical drawings.
  28  *
  29  * #AdgPath overrides the get_cpml_path() method of the parent
  30  * #AdgTrail class, avoiding the need of an #AdgTrailCallback.
  31  * The path is constructed programmaticaly: keep in mind any
  32  * method that modifies the path will invalidate the #CpmlPath
  33  * returned by adg_trail_get_cpml_path().
  34  *
  35  * Although some of the provided methods are clearly based on the
  36  * original cairo path manipulation API, their behavior could be
  37  * sligthly different. This is intentional, because the ADG provides
  38  * additional path manipulation algorithms, sometime quite complex,
  39  * and a more restrictive filter on the path quality is required.
  40  * Also, the ADG is designed to be used by technicians while cairo
  41  * targets a broader range of developers.
  42  *
  43  * As an example, following the rule of the less surprise, some
  44  * cairo functions guess the current point when it is not defined,
  45  * while the #AdgPath methods trigger a warning without other effect.
  46  * Furthermore, after cairo_path_close_path() a %CAIRO_PATH_MOVE_TO
  47  * primitive to the starting point of the segment is automatically
  48  * added by cairo; in ADG, after an adg_path_close() the current
  49  * point is simply unset.
  50  **/
  51
  52 /**
  53  * AdgPath:
  54  *
  55  * All fields are private and should not be used directly.
  56  * Use its public methods instead.
  57  **/
  58
  59
  60 #include "adg-path.h"
  61 #include "adg-path-private.h"
  62 #include "adg-primitive.h"
  63 #include "adg-intl.h"
  64 #include <math.h>
  65
  66 #define PARENT_OBJECT_CLASS  ((GObjectClass *) adg_path_parent_class)
  67 #define PARENT_MODEL_CLASS   ((AdgModelClass *) adg_path_parent_class)
  68
  69
  70 static void             finalize                (GObject        *object);
  71 static void             clear                   (AdgModel       *model);
  72 static void             clear_parent            (AdgModel       *model);
  73 static void             changed                 (AdgModel       *model);
  74 static CpmlPath *       get_cpml_path           (AdgTrail       *trail);
  75 static CpmlPath *       read_cpml_path          (AdgPath        *path);
  76 static void             append_primitive        (AdgPath        *path,
  77                                                  AdgPrimitive   *primitive);
  78 static gint             needed_pairs            (CpmlPrimitiveType type);
  79 static void             clear_operation         (AdgPath        *path);
  80 static gboolean         append_operation        (AdgPath        *path,
  81                                                  AdgAction       action,
  82                                                  ...);
  83 static void             do_operation            (AdgPath        *path,
  84                                                  cairo_path_data_t
  85                                                                 *path_data);
  86 static void             do_action               (AdgPath        *path,
  87                                                  AdgAction       action,
  88                                                  AdgPrimitive   *primitive);
  89 static void             do_chamfer              (AdgPath        *path,
  90                                                  AdgPrimitive   *current);
  91 static void             do_fillet               (AdgPath        *path,
  92                                                  AdgPrimitive   *current);
  93 static gboolean         is_convex               (const AdgPrimitive
  94                                                                 *primitive1,
  95                                                  const AdgPrimitive
  96                                                                 *primitive2);
  97 static void             dup_reversed_pair       (const gchar    *name,
  98                                                  AdgPair        *pair,
  99                                                  gpointer        user_data);
 100 static const gchar *    action_name             (AdgAction       action);
 101
 102
 103 G_DEFINE_TYPE(AdgPath, adg_path, ADG_TYPE_TRAIL);
 104
 105
 106 static void
 107 adg_path_class_init(AdgPathClass *klass)
 108 {
 109     GObjectClass *gobject_class;
 110     AdgModelClass *model_class;
 111     AdgTrailClass *trail_class;
 112
 113     gobject_class = (GObjectClass *) klass;
 114     model_class = (AdgModelClass *) klass;
 115     trail_class = (AdgTrailClass *) klass;
 116
 117     g_type_class_add_private(klass, sizeof(AdgPathPrivate));
 118
 119     gobject_class->finalize = finalize;
 120
 121     model_class->clear = clear;
 122     model_class->changed = changed;
 123
 124     trail_class->get_cpml_path = get_cpml_path;
 125 }
 126
 127 static void
 128 adg_path_init(AdgPath *path)
 129 {
 130     AdgPathPrivate *data = G_TYPE_INSTANCE_GET_PRIVATE(path, ADG_TYPE_PATH,
 131                                                        AdgPathPrivate);
 132
 133     data->cp_is_valid = FALSE;
 134     data->cpml.array = g_array_new(FALSE, FALSE, sizeof(cairo_path_data_t));
 135     data->operation.action = ADG_ACTION_NONE;
 136
 137     path->data = data;
 138 }
 139
 140 static void
 141 finalize(GObject *object)
 142 {
 143     AdgPath *path;
 144     AdgPathPrivate *data;
 145
 146     path = (AdgPath *) object;
 147     data = path->data;
 148
 149     g_array_free(data->cpml.array, TRUE);
 150     clear_operation(path);
 151
 152     if (PARENT_OBJECT_CLASS->finalize != NULL)
 153         PARENT_OBJECT_CLASS->finalize(object);
 154 }
 155
 156
 157 /**
 158  * adg_path_new:
 159  *
 160  * Creates a new path model. The path should be constructed
 161  * programmatically by using the methods provided by #AdgPath.
 162  *
 163  * Returns: the newly created path model
 164  **/
 165 AdgPath *
 166 adg_path_new(void)
 167 {
 168     return g_object_new(ADG_TYPE_PATH, NULL);
 169 }
 170
 171 /**
 172  * adg_path_current_point:
 173  * @path: an #AdgPath
 174  *
 175  * Gets the current point of @path, which is conceptually the
 176  * final point reached by the path so far.
 177  *
 178  * If there is no defined current point, %NULL is returned.
 179  * It is possible to check this in advance with
 180  * adg_path_has_current_point().
 181  *
 182  * Most #AdgPath methods alter the current point and most of them
 183  * expect a current point to be defined otherwise will fail triggering
 184  * a warning. Check the description of every method for specific details.
 185  *
 186  * Returns: the current point or %NULL on no current point set or errors
 187  **/
 188 const AdgPair *
 189 adg_path_current_point(AdgPath *path)
 190 {
 191     AdgPathPrivate *data;
 192
 193     g_return_val_if_fail(ADG_IS_PATH(path), NULL);
 194
 195     data = path->data;
 196
 197     if (!data->cp_is_valid)
 198         return NULL;
 199
 200     return &data->cp;
 201 }
 202
 203 /**
 204  * adg_path_has_current_point:
 205  * @path: an #AdgPath
 206  *
 207  * Returns whether a current point is defined on @path.
 208  * See adg_path_get_current_point() for details on the current point.
 209  *
 210  * Returns: whether a current point is defined
 211  **/
 212 gboolean
 213 adg_path_has_current_point(AdgPath *path)
 214 {
 215     AdgPathPrivate *data;
 216
 217     g_return_val_if_fail(ADG_IS_PATH(path), FALSE);
 218
 219     data = path->data;
 220
 221     return data->cp_is_valid;
 222 }
 223
 224 /**
 225  * adg_path_last_primitive:
 226  * @path: an #AdgPath
 227  *
 228  * Gets the last primitive appended to @path. The returned struct
 229  * is owned by @path and should not be freed or modified.
 230  *
 231  * Returns: a pointer to the last appended primitive or %NULL on errors
 232  **/
 233 const AdgPrimitive *
 234 adg_path_last_primitive(AdgPath *path)
 235 {
 236     AdgPathPrivate *data;
 237
 238     g_return_val_if_fail(ADG_IS_PATH(path), NULL);
 239
 240     data = path->data;
 241
 242     return &data->last;
 243 }
 244
 245 /**
 246  * adg_path_over_primitive:
 247  * @path: an #AdgPath
 248  *
 249  * Gets the primitive before the last one appended to @path. The
 250  * "over" term comes from forth, where the %OVER operator works
 251  * on the stack in the same way as adg_path_over_primitive() works
 252  * on @path. The returned struct is owned by @path and should not
 253  * be freed or modified.
 254  *
 255  * Returns: a pointer to the primitive before the last appended one
 256  *          or %NULL on errors
 257  **/
 258 const AdgPrimitive *
 259 adg_path_over_primitive(AdgPath *path)
 260 {
 261     AdgPathPrivate *data;
 262
 263     g_return_val_if_fail(ADG_IS_PATH(path), NULL);
 264
 265     data = path->data;
 266
 267     return &data->over;
 268 }
 269
 270 /**
 271  * adg_path_append:
 272  * @path: an #AdgPath
 273  * @type: a #cairo_data_type_t value
 274  * @...:  point data, specified as #AdgPair pointers
 275  *
 276  * Generic method to append a primitive to @path. The number of #AdgPair
 277  * structs depends on @type: there is no way with this function to
 278  * reserve more cairo_path_data_t structs than what is needed by the
 279  * primitive.
 280  *
 281  * This function accepts also the special %CAIRO_PATH_ARC_TO primitive.
 282  *
 283  * If @path has no current point while the requested primitive needs it,
 284  * a warning message will be triggered without other effect.
 285  **/
 286 void
 287 adg_path_append(AdgPath *path, CpmlPrimitiveType type, ...)
 288 {
 289     va_list var_args;
 290
 291     va_start(var_args, type);
 292     adg_path_append_valist(path, type, var_args);
 293     va_end(var_args);
 294 }
 295
 296 /**
 297  * adg_path_append_valist:
 298  * @path:     an #AdgPath
 299  * @type:     a #cairo_data_type_t value
 300  * @var_args: point data, specified as #AdgPair pointers
 301  *
 302  * va_list version of adg_path_append().
 303  **/
 304 void
 305 adg_path_append_valist(AdgPath *path, CpmlPrimitiveType type, va_list var_args)
 306 {
 307     AdgPathPrivate *data;
 308     AdgPrimitive primitive;
 309     gint length, cnt;
 310     cairo_path_data_t org;
 311     cairo_path_data_t *path_data;
 312
 313     g_return_if_fail(ADG_IS_PATH(path));
 314
 315     data = path->data;
 316     length = needed_pairs(type);
 317     if (length == 0)
 318         return;
 319
 320     /* Set a copy of the current point as the primitive origin */
 321     cpml_pair_to_cairo(&data->cp, &org);
 322     primitive.org = &org;
 323
 324     /* Build the cairo_path_data_t array */
 325     primitive.data = path_data = g_new(cairo_path_data_t, length);
 326
 327     path_data->header.type = type;
 328     path_data->header.length = length;
 329
 330     for (cnt = 1; cnt < length; ++ cnt) {
 331         ++ path_data;
 332         cpml_pair_to_cairo(va_arg(var_args, AdgPair *), path_data);
 333     }
 334
 335     /* Terminate the creation of the temporary primitive */
 336     primitive.segment = NULL;
 337
 338     /* Append this primitive to @path */
 339     append_primitive(path, &primitive);
 340
 341     g_free(primitive.data);
 342 }
 343
 344 /**
 345  * adg_path_append_primitive:
 346  * @path:      an #AdgPath
 347  * @primitive: the #AdgPrimitive to append
 348  *
 349  * Appends @primitive to @path. The primitive to add is considered the
 350  * continuation of the current path so the <structfield>org</structfield>
 351  * component of @primitive is not used. Anyway the current poins is
 352  * checked against it: they must be equal or the function will fail
 353  * without further processing.
 354  **/
 355 void
 356 adg_path_append_primitive(AdgPath *path, const AdgPrimitive *primitive)
 357 {
 358     AdgPathPrivate *data;
 359     AdgPrimitive *primitive_dup;
 360
 361     g_return_if_fail(ADG_IS_PATH(path));
 362     g_return_if_fail(primitive != NULL);
 363
 364     data = path->data;
 365
 366     g_return_if_fail(primitive->org->point.x == data->cp.x &&
 367                      primitive->org->point.y == data->cp.y);
 368
 369     /* The primitive data could be modified by pending operations:
 370      * work on a copy */
 371     primitive_dup = adg_primitive_deep_dup(primitive);
 372
 373     append_primitive(path, primitive_dup);
 374
 375     g_free(primitive_dup);
 376 }
 377
 378 /**
 379  * adg_path_append_segment:
 380  * @path:    an #AdgPath
 381  * @segment: the #AdgSegment to append
 382  *
 383  * Appends @segment to @path.
 384  **/
 385 void
 386 adg_path_append_segment(AdgPath *path, const AdgSegment *segment)
 387 {
 388     AdgPathPrivate *data;
 389
 390     g_return_if_fail(ADG_IS_PATH(path));
 391     g_return_if_fail(segment != NULL);
 392
 393     data = path->data;
 394
 395     clear_parent((AdgModel *) path);
 396     data->cpml.array = g_array_append_vals(data->cpml.array,
 397                                            segment->data, segment->num_data);
 398 }
 399
 400 /**
 401  * adg_path_append_cpml_path:
 402  * @path:      an #AdgPath
 403  * @cpml_path: the #cairo_path_t path to append
 404  *
 405  * Appends a whole #CpmlPath to @path. #CpmlPath is a superset of
 406  * #cairo_path_t, so this function can be feeded with both.
 407  **/
 408 void
 409 adg_path_append_cpml_path(AdgPath *path, const CpmlPath *cpml_path)
 410 {
 411     AdgPathPrivate *data;
 412
 413     g_return_if_fail(ADG_IS_PATH(path));
 414
 415     data = path->data;
 416
 417     clear_parent((AdgModel *) path);
 418     data->cpml.array = g_array_append_vals(data->cpml.array,
 419                                            cpml_path->data,
 420                                            cpml_path->num_data);
 421 }
 422
 423 /**
 424  * adg_path_move_to:
 425  * @path: an #AdgPath
 426  * @pair: the destination coordinates
 427  *
 428  * Begins a new segment. After this call the current point will be @pair.
 429  **/
 430 void
 431 adg_path_move_to(AdgPath *path, const AdgPair *pair)
 432 {
 433     adg_path_append(path, CAIRO_PATH_MOVE_TO, pair);
 434 }
 435
 436 /**
 437  * adg_path_move_to_explicit:
 438  * @path: an #AdgPath
 439  * @x:    the new x coordinate
 440  * @y:    the new y coordinate
 441  *
 442  * Convenient function to call adg_path_move_to() using explicit
 443  * coordinates instead of #AdgPair.
 444  **/
 445 void
 446 adg_path_move_to_explicit(AdgPath *path, gdouble x, gdouble y)
 447 {
 448     AdgPair p;
 449
 450     p.x = x;
 451     p.y = y;
 452
 453     adg_path_append(path, CAIRO_PATH_MOVE_TO, &p);
 454 }
 455
 456 /**
 457  * adg_path_line_to:
 458  * @path: an #AdgPath
 459  * @pair: the destination coordinates
 460  *
 461  * Adds a line to @path from the current point to @pair. After this
 462  * call the current point will be @pair.
 463  *
 464  * If @path has no current point before this call, this function will
 465  * trigger a warning without other effect.
 466  **/
 467 void
 468 adg_path_line_to(AdgPath *path, const AdgPair *pair)
 469 {
 470     adg_path_append(path, CAIRO_PATH_LINE_TO, pair);
 471 }
 472
 473 /**
 474  * adg_path_line_to_explicit:
 475  * @path: an #AdgPath
 476  * @x:    the new x coordinate
 477  * @y:    the new y coordinate
 478  *
 479  * Convenient function to call adg_path_line_to() using explicit
 480  * coordinates instead of #AdgPair.
 481  **/
 482 void
 483 adg_path_line_to_explicit(AdgPath *path, gdouble x, gdouble y)
 484 {
 485     AdgPair p;
 486
 487     p.x = x;
 488     p.y = y;
 489
 490     adg_path_append(path, CAIRO_PATH_LINE_TO, &p);
 491 }
 492
 493 /**
 494  * adg_path_arc_to:
 495  * @path:     an #AdgPath
 496  * @throught: an arbitrary point on the arc
 497  * @pair:     the destination coordinates
 498  *
 499  * Adds an arc to the path from the current point to @pair, passing
 500  * throught @throught. After this call the current point will be @pair.
 501  *
 502  * If @path has no current point before this call, this function will
 503  * trigger a warning without other effect.
 504  **/
 505 void
 506 adg_path_arc_to(AdgPath *path, const AdgPair *throught, const AdgPair *pair)
 507 {
 508     adg_path_append(path, CAIRO_PATH_ARC_TO, throught, pair);
 509 }
 510
 511 /**
 512  * adg_path_arc_to_explicit:
 513  * @path: an #AdgPath
 514  * @x1:   the x coordinate of an intermediate point
 515  * @y1:   the y coordinate of an intermediate point
 516  * @x2:   the x coordinate of the end of the arc
 517  * @y2:   the y coordinate of the end of the arc
 518  *
 519  * Convenient function to call adg_path_arc_to() using explicit
 520  * coordinates instead of #AdgPair.
 521  **/
 522 void
 523 adg_path_arc_to_explicit(AdgPath *path, gdouble x1, gdouble y1,
 524                          gdouble x2, gdouble y2)
 525 {
 526     AdgPair p[2];
 527
 528     p[0].x = x1;
 529     p[0].y = y1;
 530     p[1].x = x2;
 531     p[1].y = y2;
 532
 533     adg_path_append(path, CAIRO_PATH_ARC_TO, &p[0], &p[1]);
 534 }
 535
 536 /**
 537  * adg_path_curve_to:
 538  * @path: an #AdgPath
 539  * @control1: the first control point of the curve
 540  * @control2: the second control point of the curve
 541  * @pair:     the destination coordinates
 542  *
 543  * Adds a cubic Bézier curve to the path from the current point to
 544  * position @pair, using @control1 and @control2 as control points.
 545  * After this call the current point will be @pair.
 546  *
 547  * If @path has no current point before this call, this function will
 548  * trigger a warning without other effect.
 549  **/
 550 void
 551 adg_path_curve_to(AdgPath *path, const AdgPair *control1,
 552                   const AdgPair *control2, const AdgPair *pair)
 553 {
 554     adg_path_append(path, CAIRO_PATH_CURVE_TO, control1, control2, pair);
 555 }
 556
 557 /**
 558  * adg_path_curve_to_explicit:
 559  * @path: an #AdgPath
 560  * @x1:   the x coordinate of the first control point
 561  * @y1:   the y coordinate of the first control point
 562  * @x2:   the x coordinate of the second control point
 563  * @y2:   the y coordinate of the second control point
 564  * @x3:   the x coordinate of the end of the curve
 565  * @y3:   the y coordinate of the end of the curve
 566  *
 567  * Convenient function to call adg_path_curve_to() using explicit
 568  * coordinates instead of #AdgPair.
 569  **/
 570 void
 571 adg_path_curve_to_explicit(AdgPath *path, gdouble x1, gdouble y1,
 572                            gdouble x2, gdouble y2, gdouble x3, gdouble y3)
 573 {
 574     AdgPair p[3];
 575
 576     p[0].x = x1;
 577     p[0].y = y1;
 578     p[1].x = x2;
 579     p[1].y = y2;
 580     p[2].x = x3;
 581     p[2].y = y3;
 582
 583     adg_path_append(path, CAIRO_PATH_CURVE_TO, &p[0], &p[1], &p[2]);
 584 }
 585
 586 /**
 587  * adg_path_close:
 588  * @path: an #AdgPath
 589  *
 590  * Adds a line segment to the path from the current point to the
 591  * beginning of the current segment, (the most recent point passed
 592  * to an adg_path_move_to()), and closes this segment.
 593  * After this call the current point will be unset.
 594  *
 595  * The behavior of adg_path_close() is distinct from simply calling
 596  * adg_line_to() with the coordinates of the segment starting point.
 597  * When a closed segment is stroked, there are no caps on the ends.
 598  * Instead, there is a line join connecting the final and initial
 599  * primitive of the segment.
 600  *
 601  * If @path has no current point before this call, this function will
 602  * trigger a warning without other effect.
 603  **/
 604 void
 605 adg_path_close(AdgPath *path)
 606 {
 607     adg_path_append(path, CAIRO_PATH_CLOSE_PATH);
 608 }
 609
 610 /**
 611  * adg_path_arc:
 612  * @path:  an #AdgPath
 613  * @center: coordinates of the center of the arc
 614  * @r:     the radius of the arc
 615  * @start: the start angle, in radians
 616  * @end:   the end angle, in radians
 617  *
 618  * A more usual way to add an arc to @path. After this call, the current
 619  * point will be the computed end point of the arc. The arc will be
 620  * rendered in increasing angle, accordling to @start and @end. This means
 621  * if @start is less than @end, the arc will be rendered in clockwise
 622  * direction (accordling to the default cairo coordinate system) while if
 623  * @start is greather than @end, the arc will be rendered in couterclockwise
 624  * direction.
 625  *
 626  * By explicitely setting the whole arc data, the start point could be
 627  * different from the current point. In this case, if @path has no
 628  * current point before the call a %CAIRO_PATH_MOVE_TO to the start
 629  * point of the arc will be automatically prepended to the arc.
 630  * If @path has a current point, a %CAIRO_PATH_LINE_TO to the start
 631  * point of the arc will be used instead of the "move to" primitive.
 632  **/
 633 void
 634 adg_path_arc(AdgPath *path, const AdgPair *center, gdouble r,
 635              gdouble start, gdouble end)
 636 {
 637     AdgPathPrivate *data;
 638     AdgPair p[3];
 639
 640     g_return_if_fail(ADG_IS_PATH(path));
 641
 642     data = path->data;
 643     cpml_vector_from_angle(&p[0], start);
 644     cpml_vector_from_angle(&p[1], (end-start) / 2);
 645     cpml_vector_from_angle(&p[2], end);
 646
 647     cpml_vector_set_length(&p[0], r);
 648     cpml_vector_set_length(&p[1], r);
 649     cpml_vector_set_length(&p[2], r);
 650
 651     cpml_pair_add(&p[0], center);
 652     cpml_pair_add(&p[1], center);
 653     cpml_pair_add(&p[2], center);
 654
 655     if (!data->cp_is_valid)
 656         adg_path_append(path, CAIRO_PATH_MOVE_TO, &p[0]);
 657     else if (p[0].x != data->cp.x || p[0].y != data->cp.y)
 658         adg_path_append(path, CAIRO_PATH_LINE_TO, &p[0]);
 659
 660     adg_path_append(path, CAIRO_PATH_ARC_TO, &p[1], &p[2]);
 661 }
 662
 663 /**
 664  * adg_path_arc_explicit:
 665  * @path:  an #AdgPath
 666  * @xc:    x position of the center of the arc
 667  * @yc:    y position of the center of the arc
 668  * @r:     the radius of the arc
 669  * @start: the start angle, in radians
 670  * @end:   the end angle, in radians
 671  *
 672  * Convenient function to call adg_path_arc() using explicit
 673  * coordinates instead of #AdgPair.
 674  **/
 675 void
 676 adg_path_arc_explicit(AdgPath *path, gdouble xc, gdouble yc, gdouble r,
 677                       gdouble start, gdouble end)
 678 {
 679     AdgPair center;
 680
 681     center.x = xc;
 682     center.y = yc;
 683
 684     adg_path_arc(path, &center, r, start, end);
 685 }
 686
 687 /**
 688  * adg_path_chamfer
 689  * @path:   an #AdgPath
 690  * @delta1: the distance from the intersection point of the current primitive
 691  * @delta2: the distance from the intersection point of the next primitive
 692  *
 693  * A binary action that generates a chamfer between two primitives.
 694  * The first primitive involved is the current primitive, the second will
 695  * be the next primitive appended to @path after this call. The second
 696  * primitive is required: if the chamfer operation is not properly
 697  * terminated (by not providing the second primitive), any API accessing
 698  * the path in reading mode will raise a warning.
 699  *
 700  * An exception is a chamfer after a %CAIRO_PATH_CLOSE_PATH primitive.
 701  * In this case the second primitive is not required: the current close
 702  * path is used as first operand while the first primitive of the
 703  * current segment is used as second operand.
 704  *
 705  * The chamfer operation requires two lengths: @delta1 specifies the
 706  * "quantity" to trim on the first primitive while @delta2 is the same
 707  * applied on the second primitive. The term "quantity" means the length
 708  * of the portion to cut out from the original primitive (that is the
 709  * primitive as would be without the chamfer).
 710  **/
 711 void
 712 adg_path_chamfer(AdgPath *path, gdouble delta1, gdouble delta2)
 713 {
 714     g_return_if_fail(ADG_IS_PATH(path));
 715
 716     if (!append_operation(path, ADG_ACTION_CHAMFER, delta1, delta2))
 717         return;
 718 }
 719
 720 /**
 721  * adg_path_fillet:
 722  * @path:   an #AdgPath
 723  * @radius: the radius of the fillet
 724  *
 725  * A binary action that joins to primitives with an arc.
 726  * The first primitive involved is the current primitive, the second will
 727  * be the next primitive appended to @path after this call. The second
 728  * primitive is required: if the fillet operation is not properly
 729  * terminated (by not providing the second primitive), any API accessing
 730  * the path in reading mode will raise a warning.
 731  *
 732  * An exception is a fillet after a %CAIRO_PATH_CLOSE_PATH primitive.
 733  * In this case the second primitive is not required: the current close
 734  * path is used as first operand while the first primitive of the
 735  * current segment is used as second operand.
 736  **/
 737 void
 738 adg_path_fillet(AdgPath *path, gdouble radius)
 739 {
 740     g_return_if_fail(ADG_IS_PATH(path));
 741
 742     if (!append_operation(path, ADG_ACTION_FILLET, radius))
 743         return;
 744 }
 745
 746 /**
 747  * adg_path_reflect:
 748  * @path:   an #AdgPath
 749  * @vector: the slope of the axis
 750  *
 751  * Reflects the first segment or @path around the axis passing
 752  * throught (0, 0) and with a @vector slope. The internal segment
 753  * is duplicated and the proper transformation (computed from
 754  * @vector) to mirror the segment is applied on all its points.
 755  * The result is then reversed with cpml_segment_reverse() and
 756  * appended to the original path with adg_path_append_segment().
 757  **/
 758 void
 759 adg_path_reflect(AdgPath *path, const CpmlVector *vector)
 760 {
 761     AdgNamedPairData data;
 762     AdgSegment segment, *dup_segment;
 763
 764     g_return_if_fail(ADG_IS_PATH(path));
 765
 766     data.model = (AdgModel *) path;
 767
 768     if (vector == NULL) {
 769         cairo_matrix_init_scale(&data.matrix, 1, -1);
 770     } else {
 771         CpmlVector slope;
 772         gdouble cos2angle, sin2angle;
 773
 774         cpml_pair_copy(&slope, vector);
 775         cpml_vector_set_length(&slope, 1);
 776
 777         if (slope.x == 0 && slope.y == 0) {
 778             g_warning(_("%s: the axis of the reflection is not known"),
 779                       G_STRLOC);
 780             return;
 781         }
 782
 783         sin2angle = 2. * vector->x * vector->y;
 784         cos2angle = 2. * vector->x * vector->x - 1;
 785
 786         cairo_matrix_init(&data.matrix, cos2angle, sin2angle,
 787                           sin2angle, -cos2angle, 0, 0);
 788     }
 789
 790     adg_trail_get_segment((AdgTrail *) path, &segment, 1);
 791     dup_segment = adg_segment_deep_dup(&segment);
 792
 793     cpml_segment_reverse(dup_segment);
 794     cpml_segment_transform(dup_segment, &data.matrix);
 795     dup_segment->data[0].header.type = CAIRO_PATH_LINE_TO;
 796
 797     adg_path_append_segment(path, dup_segment);
 798
 799     g_free(dup_segment);
 800
 801     adg_model_foreach_named_pair(data.model, dup_reversed_pair, &data);
 802 }
 803
 804
 805 static void
 806 clear(AdgModel *model)
 807 {
 808     AdgPath *path;
 809     AdgPathPrivate *data;
 810
 811     path = (AdgPath *) model;
 812     data = path->data;
 813
 814     g_array_set_size(data->cpml.array, 0);
 815     clear_operation(path);
 816     clear_parent(model);
 817 }
 818
 819 static void
 820 clear_parent(AdgModel *model)
 821 {
 822     if (PARENT_MODEL_CLASS->clear != NULL)
 823         PARENT_MODEL_CLASS->clear(model);
 824 }
 825
 826 static void
 827 changed(AdgModel *model)
 828 {
 829     clear_parent(model);
 830
 831     if (PARENT_MODEL_CLASS->changed != NULL)
 832         PARENT_MODEL_CLASS->changed(model);
 833 }
 834
 835 static CpmlPath *
 836 get_cpml_path(AdgTrail *trail)
 837 {
 838     clear_parent((AdgModel *) trail);
 839     return read_cpml_path((AdgPath *) trail);
 840 }
 841
 842 static CpmlPath *
 843 read_cpml_path(AdgPath *path)
 844 {
 845     AdgPathPrivate *data = path->data;
 846
 847     /* Always regenerate the CpmlPath as it is a trivial operation */
 848     data->cpml.path.status = CAIRO_STATUS_SUCCESS;
 849     data->cpml.path.data = (cairo_path_data_t *) (data->cpml.array)->data;
 850     data->cpml.path.num_data = (data->cpml.array)->len;
 851
 852     return &data->cpml.path;
 853 }
 854
 855 static void
 856 append_primitive(AdgPath *path, AdgPrimitive *current)
 857 {
 858     AdgPathPrivate *data;
 859     cairo_path_data_t *path_data;
 860     int length;
 861
 862     data = path->data;
 863     path_data = current->data;
 864     length = path_data[0].header.length;
 865
 866     /* Execute any pending operation */
 867     do_operation(path, path_data);
 868
 869     /* Append the path data to the internal path array */
 870     data->cpml.array = g_array_append_vals(data->cpml.array,
 871                                            path_data, length);
 872
 873     /* Set path data to point to the recently appended cairo_path_data_t
 874      * primitive: the first struct is the header */
 875     path_data = (cairo_path_data_t *) (data->cpml.array)->data +
 876                 (data->cpml.array)->len - length;
 877
 878     /* Store the over primitive */
 879     memcpy(&data->over, &data->last, sizeof(AdgPrimitive));
 880
 881     /* Set the last primitive for subsequent binary operations */
 882     data->last.org = data->cp_is_valid ? path_data - 1 : NULL;
 883     data->last.segment = NULL;
 884     data->last.data = path_data;
 885
 886     /* Save the last point as the current point, if applicable */
 887     data->cp_is_valid = length > 1;
 888     if (length > 1)
 889         cpml_pair_from_cairo(&data->cp, &path_data[length-1]);
 890
 891     /* Invalidate cairo_path: should be recomputed */
 892     clear_parent((AdgModel *) path);
 893 }
 894
 895 static gint
 896 needed_pairs(CpmlPrimitiveType type)
 897 {
 898     switch (type) {
 899     case CAIRO_PATH_CLOSE_PATH:
 900         return 1;
 901     case CAIRO_PATH_MOVE_TO:
 902         return 2;
 903     case CAIRO_PATH_LINE_TO:
 904         return 2;
 905     case CAIRO_PATH_ARC_TO:
 906         return 3;
 907     case CAIRO_PATH_CURVE_TO:
 908         return 4;
 909     default:
 910         g_return_val_if_reached(0);
 911     }
 912
 913     return 0;
 914 }
 915
 916 static void
 917 clear_operation(AdgPath *path)
 918 {
 919     AdgPathPrivate *data;
 920     AdgOperation *operation;
 921
 922     data = path->data;
 923     operation = &data->operation;
 924
 925     if (operation->action != ADG_ACTION_NONE) {
 926         g_warning(_("%s: a `%s' operation is still active while clearing the path"),
 927                   G_STRLOC, action_name(operation->action));
 928         operation->action = ADG_ACTION_NONE;
 929     }
 930 }
 931
 932 static gboolean
 933 append_operation(AdgPath *path, AdgAction action, ...)
 934 {
 935     AdgPathPrivate *data;
 936     AdgOperation *operation;
 937     va_list var_args;
 938
 939     data = path->data;
 940
 941     if (data->last.data == NULL) {
 942         g_warning(_("%s: requested a `%s' operation on a path without current primitive"),
 943                   G_STRLOC, action_name(action));
 944         return FALSE;
 945     }
 946
 947     operation = &data->operation;
 948     if (operation->action != ADG_ACTION_NONE) {
 949         g_warning(_("%s: requested a `%s' operation while a `%s' operation is active"),
 950                   G_STRLOC, action_name(action), action_name(operation->action));
 951         ADG_MESSAGE("TODO: this is a rude simplification, as a lot of "
 952                     "actions could be chained up. As an example, a fillet "
 953                     "followed by a polar chamfer is quite common.");
 954         return FALSE;
 955     }
 956
 957     va_start(var_args, action);
 958
 959     switch (action) {
 960
 961     case ADG_ACTION_CHAMFER:
 962         operation->data.chamfer.delta1 = va_arg(var_args, double);
 963         operation->data.chamfer.delta2 = va_arg(var_args, double);
 964         break;
 965
 966     case ADG_ACTION_FILLET:
 967         operation->data.fillet.radius = va_arg(var_args, double);
 968         break;
 969
 970     case ADG_ACTION_NONE:
 971         va_end(var_args);
 972         return TRUE;
 973
 974     default:
 975         g_warning(_("%s: `%d' operation not recognized"), G_STRLOC, action);
 976         va_end(var_args);
 977         return FALSE;
 978     }
 979
 980     operation->action = action;
 981     va_end(var_args);
 982
 983     if (data->last.data[0].header.type == CAIRO_PATH_CLOSE_PATH) {
 984         /* Special case: an action with the close primitive should
 985          * be resolved now by changing the close primitive to a
 986          * line-to and using it as second operand and use the first
 987          * primitive of the current segment as first operand */
 988         guint length;
 989         cairo_path_data_t *path_data;
 990         CpmlSegment segment;
 991         CpmlPrimitive current;
 992
 993         length = data->cpml.array->len;
 994
 995         /* Ensure the close path primitive is not the only data */
 996         g_return_val_if_fail(length > 1, FALSE);
 997
 998         /* Allocate one more item once for all to accept the
 999          * conversion from a close to line-to primitive */
1000         data->cpml.array = g_array_set_size(data->cpml.array, length + 1);
1001         path_data = (cairo_path_data_t *) data->cpml.array->data;
1002         --data->cpml.array->len;
1003
1004         /* Set segment and current (the first primitive of segment) */
1005         cpml_segment_from_cairo(&segment, read_cpml_path(path));
1006         while (cpml_segment_next(&segment))
1007             ;
1008         cpml_primitive_from_segment(&current, &segment);
1009
1010         /* Convert close path to a line-to primitive */
1011         ++data->cpml.array->len;
1012         path_data[length - 1].header.type = CAIRO_PATH_LINE_TO;
1013         path_data[length - 1].header.length = 2;
1014         path_data[length] = *current.org;
1015
1016         data->last.segment = &segment;
1017         data->last.org = &path_data[length - 2];
1018         data->last.data = &path_data[length - 1];
1019
1020         do_action(path, action, &current);
1021     }
1022
1023
1024     return TRUE;
1025 }
1026
1027 static void
1028 do_operation(AdgPath *path, cairo_path_data_t *path_data)
1029 {
1030     AdgPathPrivate *data;
1031     AdgAction action;
1032     AdgSegment segment;
1033     AdgPrimitive current;
1034     cairo_path_data_t current_org;
1035
1036     data = path->data;
1037     action = data->operation.action;
1038     cpml_segment_from_cairo(&segment, read_cpml_path(path));
1039
1040     /* Construct the current primitive, that is the primitive to be
1041      * mixed with the last primitive with the specified operation.
1042      * Its org is a copy of the end point of the last primitive: it can be
1043      * modified without affecting anything else. It is expected the operation
1044      * functions will add to @path the primitives required but NOT to add
1045      * @current, as this one will be inserted automatically. */
1046     current.segment = &segment;
1047     current.org = &current_org;
1048     current.data = path_data;
1049     cpml_pair_to_cairo(&data->cp, &current_org);
1050
1051     do_action(path, action, &current);
1052 }
1053
1054 static void
1055 do_action(AdgPath *path, AdgAction action, AdgPrimitive *primitive)
1056 {
1057     switch (action) {
1058     case ADG_ACTION_NONE:
1059         return;
1060     case ADG_ACTION_CHAMFER:
1061         do_chamfer(path, primitive);
1062         break;
1063     case ADG_ACTION_FILLET:
1064         do_fillet(path, primitive);
1065         break;
1066     default:
1067         g_assert_not_reached();
1068     }
1069 }
1070
1071 static void
1072 do_chamfer(AdgPath *path, AdgPrimitive *current)
1073 {
1074     AdgPathPrivate *data;
1075     AdgPrimitive *last;
1076     gdouble delta1, delta2;
1077     gdouble len1, len2;
1078     AdgPair pair;
1079
1080     data = path->data;
1081     last = &data->last;
1082     delta1 = data->operation.data.chamfer.delta1;
1083     len1 = cpml_primitive_length(last);
1084
1085     if (delta1 >= len1) {
1086         g_warning(_("%s: first chamfer delta of `%lf' is greather than the available `%lf' length"),
1087                   G_STRLOC, delta1, len1);
1088         return;
1089     }
1090
1091     delta2 = data->operation.data.chamfer.delta2;
1092     len2 = cpml_primitive_length(current);
1093
1094     if (delta2 >= len2) {
1095         g_warning(_("%s: second chamfer delta of `%lf' is greather than the available `%lf' length"),
1096                   G_STRLOC, delta1, len1);
1097         return;
1098     }
1099
1100     /* Change the end point of the last primitive */
1101     cpml_primitive_pair_at(last, &pair, 1. - delta1 / len1);
1102     cpml_pair_to_cairo(&pair, cpml_primitive_get_point(last, -1));
1103
1104     /* Change the start point of the current primitive */
1105     cpml_primitive_pair_at(current, &pair, delta2 / len2);
1106     cpml_pair_to_cairo(&pair, cpml_primitive_get_point(current, 0));
1107
1108     /* Add the chamfer line */
1109     data->operation.action = ADG_ACTION_NONE;
1110     adg_path_append(path, CAIRO_PATH_LINE_TO, &pair);
1111 }
1112
1113 static void
1114 do_fillet(AdgPath *path, AdgPrimitive *current)
1115 {
1116     AdgPathPrivate *data;
1117     AdgPrimitive *last, *current_dup, *last_dup;
1118     gdouble radius, offset, pos;
1119     AdgPair center, vector, p[3];
1120
1121     data = path->data;
1122     last = &data->last;
1123     current_dup = adg_primitive_deep_dup(current);
1124     last_dup = adg_primitive_deep_dup(last);
1125     radius = data->operation.data.fillet.radius;
1126     offset = is_convex(last_dup, current_dup) ? -radius : radius;
1127
1128     /* Find the center of the fillet from the intersection between
1129      * the last and current primitives offseted by radius */
1130     cpml_primitive_offset(current_dup, offset);
1131     cpml_primitive_offset(last_dup, offset);
1132     if (cpml_primitive_intersection(current_dup, last_dup,
1133                                     &center, 1) == 0) {
1134         g_warning(_("%s: fillet with radius of `%lf' is not applicable here"),
1135                   G_STRLOC, radius);
1136         g_free(current_dup);
1137         g_free(last_dup);
1138         return;
1139     }
1140
1141     /* Compute the start point of the fillet */
1142     pos = cpml_primitive_near_pos(last_dup, &center);
1143     cpml_primitive_vector_at(last_dup, &vector, pos);
1144     cpml_vector_set_length(&vector, offset);
1145     cpml_vector_normal(&vector);
1146     cpml_pair_sub(cpml_pair_copy(&p[0], &center), &vector);
1147
1148     /* Compute the mid point of the fillet */
1149     cpml_pair_from_cairo(&vector, current->org);
1150     cpml_pair_sub(&vector, &center);
1151     cpml_vector_set_length(&vector, radius);
1152     cpml_pair_add(cpml_pair_copy(&p[1], &center), &vector);
1153
1154     /* Compute the end point of the fillet */
1155     pos = cpml_primitive_near_pos(current_dup, &center);
1156     cpml_primitive_vector_at(current_dup, &vector, pos);
1157     cpml_vector_set_length(&vector, offset);
1158     cpml_vector_normal(&vector);
1159     cpml_pair_sub(cpml_pair_copy(&p[2], &center), &vector);
1160
1161     g_free(current_dup);
1162     g_free(last_dup);
1163
1164     /* Change the end point of the last primitive */
1165     cpml_pair_to_cairo(&p[0], cpml_primitive_get_point(last, -1));
1166
1167     /* Change the start point of the current primitive */
1168     cpml_pair_to_cairo(&p[2], cpml_primitive_get_point(current, 0));
1169
1170     /* Add the fillet arc */
1171     data->operation.action = ADG_ACTION_NONE;
1172     adg_path_append(path, CAIRO_PATH_ARC_TO, &p[1], &p[2]);
1173 }
1174
1175 static gboolean
1176 is_convex(const AdgPrimitive *primitive1, const AdgPrimitive *primitive2)
1177 {
1178     CpmlVector v1, v2;
1179     gdouble angle1, angle2;
1180
1181     cpml_primitive_vector_at(primitive1, &v1, -1);
1182     cpml_primitive_vector_at(primitive2, &v2, 0);
1183
1184     /* Probably there is a smarter way to get this without trygonometry */
1185     angle1 = cpml_vector_angle(&v1);
1186     angle2 = cpml_vector_angle(&v2);
1187
1188     if (angle1 > angle2)
1189         angle1 -= M_PI*2;
1190
1191     return angle2-angle1 > M_PI;
1192 }
1193
1194 static void
1195 dup_reversed_pair(const gchar *name, AdgPair *pair, gpointer user_data)
1196 {
1197     AdgNamedPairData *data;
1198     gchar *new_name;
1199     AdgPair new_pair;
1200
1201     data = (AdgNamedPairData *) user_data;
1202     new_name = g_strdup_printf("-%s", name);
1203     cpml_pair_copy(&new_pair, pair);
1204
1205     cpml_pair_transform(&new_pair, &data->matrix);
1206     adg_model_set_named_pair(data->model, new_name, &new_pair);
1207
1208     g_free(new_name);
1209 }
1210
1211 static const gchar *
1212 action_name(AdgAction action)
1213 {
1214     switch (action) {
1215     case ADG_ACTION_NONE:
1216         return "NULL";
1217     case ADG_ACTION_CHAMFER:
1218         return "CHAMFER";
1219     case ADG_ACTION_FILLET:
1220         return "FILLET";
1221     }
1222
1223     return "undefined";
1224 }