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Camera.h

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  • triangle.h 21.11 KiB
    /*****************************************************************************/
    /*                                                                           */
    /*  (triangle.h)                                                             */
    /*                                                                           */
    /*  Include file for programs that call Triangle.                            */
    /*                                                                           */
    /*  Accompanies Triangle Version 1.3                                         */
    /*  July 19, 1996                                                            */
    /*                                                                           */
    /*  Copyright 1996                                                           */
    /*  Jonathan Richard Shewchuk                                                */
    /*  School of Computer Science                                               */
    /*  Carnegie Mellon University                                               */
    /*  5000 Forbes Avenue                                                       */
    /*  Pittsburgh, Pennsylvania  15213-3891                                     */
    /*  jrs@cs.cmu.edu                                                           */
    /*                                                                           */
    /*****************************************************************************/
    
    /*****************************************************************************/
    /*                                                                           */
    /*  How to call Triangle from another program                                */
    /*                                                                           */
    /*                                                                           */
    /*  If you haven't read Triangle's instructions (run "triangle -h" to read   */
    /*  them), you won't understand what follows.                                */
    /*                                                                           */
    /*  Triangle must be compiled into an object file (triangle.o) with the      */
    /*  TRILIBRARY symbol defined (preferably by using the -DTRILIBRARY compiler */
    /*  switch).  The makefile included with Triangle will do this for you if    */
    /*  you run "make trilibrary".  The resulting object file can be called via  */
    /*  the procedure triangulate().                                             */
    /*                                                                           */
    /*  If the size of the object file is important to you, you may wish to      */
    /*  generate a reduced version of triangle.o.  The REDUCED symbol gets rid   */
    /*  of all features that are primarily of research interest.  Specifically,  */
    /*  the -DREDUCED switch eliminates Triangle's -i, -F, -s, and -C switches.  */
    /*  The CDT_ONLY symbol gets rid of all meshing algorithms above and beyond  */
    /*  constrained Delaunay triangulation.  Specifically, the -DCDT_ONLY switch */
    /*  eliminates Triangle's -r, -q, -a, -S, and -s switches.                   */
    /*                                                                           */
    /*  IMPORTANT:  These definitions (TRILIBRARY, REDUCED, CDT_ONLY) must be    */
    /*  made in the makefile or in triangle.c itself.  Putting these definitions */
    /*  in this file will not create the desired effect.                         */
    /*                                                                           */
    /*                                                                           */
    /*  The calling convention for triangulate() follows.                        */
    /*                                                                           */
    /*      void triangulate(triswitches, in, out, vorout)                       */
    /*      char *triswitches;                                                   */
    /*      struct triangulateio *in;                                            */
    /*      struct triangulateio *out;                                           */
    /*      struct triangulateio *vorout;                                        */
    /*                                                                           */
    /*  `triswitches' is a string containing the command line switches you wish  */
    /*  to invoke.  No initial dash is required.  Some suggestions:              */
    /*                                                                           */
    /*  - You'll probably find it convenient to use the `z' switch so that       */
    /*    points (and other items) are numbered from zero.  This simplifies      */
    /*    indexing, because the first item of any type always starts at index    */
    /*    [0] of the corresponding array, whether that item's number is zero or  */
    /*    one.                                                                   */
    /*  - You'll probably want to use the `Q' (quiet) switch in your final code, */
    /*    but you can take advantage of Triangle's printed output (including the */
    /*    `V' switch) while debugging.                                           */
    /*  - If you are not using the `q' or `a' switches, then the output points   */
    /*    will be identical to the input points, except possibly for the         */
    /*    boundary markers.  If you don't need the boundary markers, you should  */
    /*    use the `N' (no nodes output) switch to save memory.  (If you do need  */
    /*    boundary markers, but need to save memory, a good nasty trick is to    */
    /*    set out->pointlist equal to in->pointlist before calling triangulate(),*/
    /*    so that Triangle overwrites the input points with identical copies.)   */
    /*  - The `I' (no iteration numbers) and `g' (.off file output) switches     */
    /*    have no effect when Triangle is compiled with TRILIBRARY defined.      */
    /*                                                                           */
    /*  `in', `out', and `vorout' are descriptions of the input, the output,     */
    /*  and the Voronoi output.  If the `v' (Voronoi output) switch is not used, */
    /*  `vorout' may be NULL.  `in' and `out' may never be NULL.                 */
    /*                                                                           */
    /*  Certain fields of the input and output structures must be initialized,   */
    /*  as described below.                                                      */
    /*                                                                           */
    /*****************************************************************************/
    
    /*****************************************************************************/
    /*                                                                           */
    /*  The `triangulateio' structure.                                           */
    /*                                                                           */
    /*  Used to pass data into and out of the triangulate() procedure.           */
    /*                                                                           */
    /*                                                                           */
    /*  Arrays are used to store points, triangles, markers, and so forth.  In   */
    /*  all cases, the first item in any array is stored starting at index [0].  */
    /*  However, that item is item number `1' unless the `z' switch is used, in  */
    /*  which case it is item number `0'.  Hence, you may find it easier to      */
    /*  index points (and triangles in the neighbor list) if you use the `z'     */
    /*  switch.  Unless, of course, you're calling Triangle from a Fortran       */
    /*  program.                                                                 */
    /*                                                                           */
    /*  Description of fields (except the `numberof' fields, which are obvious): */
    /*                                                                           */
    /*  `pointlist':  An array of point coordinates.  The first point's x        */
    /*    coordinate is at index [0] and its y coordinate at index [1], followed */
    /*    by the coordinates of the remaining points.  Each point occupies two   */
    /*    REALs.                                                                 */
    /*  `pointattributelist':  An array of point attributes.  Each point's       */
    /*    attributes occupy `numberofpointattributes' REALs.                     */
    /*  `pointmarkerlist':  An array of point markers; one int per point.        */
    /*                                                                           */
    /*  `trianglelist':  An array of triangle corners.  The first triangle's     */
    /*    first corner is at index [0], followed by its other two corners in     */
    /*    counterclockwise order, followed by any other nodes if the triangle    */
    /*    represents a nonlinear element.  Each triangle occupies                */
    /*    `numberofcorners' ints.                                                */
    /*  `triangleattributelist':  An array of triangle attributes.  Each         */
    /*    triangle's attributes occupy `numberoftriangleattributes' REALs.       */
    /*  `trianglearealist':  An array of triangle area constraints; one REAL per */
    /*    triangle.  Input only.                                                 */
    /*  `neighborlist':  An array of triangle neighbors; three ints per          */
    /*    triangle.  Output only.                                                */
    /*                                                                           */
    /*  `segmentlist':  An array of segment endpoints.  The first segment's      */
    /*    endpoints are at indices [0] and [1], followed by the remaining        */
    /*    segments.  Two ints per segment.                                       */
    /*  `segmentmarkerlist':  An array of segment markers; one int per segment.  */
    /*                                                                           */
    /*  `holelist':  An array of holes.  The first hole's x and y coordinates    */
    /*    are at indices [0] and [1], followed by the remaining holes.  Two      */
    /*    REALs per hole.  Input only, although the pointer is copied to the     */
    /*    output structure for your convenience.                                 */
    /*                                                                           */
    /*  `regionlist':  An array of regional attributes and area constraints.     */
    /*    The first constraint's x and y coordinates are at indices [0] and [1], */
    /*    followed by the regional attribute and index [2], followed by the      */
    /*    maximum area at index [3], followed by the remaining area constraints. */
    /*    Four REALs per area constraint.  Note that each regional attribute is  */
    /*    used only if you select the `A' switch, and each area constraint is    */
    /*    used only if you select the `a' switch (with no number following), but */
    /*    omitting one of these switches does not change the memory layout.      */
    /*    Input only, although the pointer is copied to the output structure for */
    /*    your convenience.                                                      */
    /*                                                                           */
    /*  `edgelist':  An array of edge endpoints.  The first edge's endpoints are */
    /*    at indices [0] and [1], followed by the remaining edges.  Two ints per */
    /*    edge.  Output only.                                                    */
    /*  `edgemarkerlist':  An array of edge markers; one int per edge.  Output   */
    /*    only.                                                                  */
    /*  `normlist':  An array of normal vectors, used for infinite rays in       */
    /*    Voronoi diagrams.  The first normal vector's x and y magnitudes are    */
    /*    at indices [0] and [1], followed by the remaining vectors.  For each   */
    /*    finite edge in a Voronoi diagram, the normal vector written is the     */
    /*    zero vector.  Two REALs per edge.  Output only.                        */
    /*                                                                           */
    /*                                                                           */
    /*  Any input fields that Triangle will examine must be initialized.         */
    /*  Furthermore, for each output array that Triangle will write to, you      */
    /*  must either provide space by setting the appropriate pointer to point    */
    /*  to the space you want the data written to, or you must initialize the    */
    /*  pointer to NULL, which tells Triangle to allocate space for the results. */
    /*  The latter option is preferable, because Triangle always knows exactly   */
    /*  how much space to allocate.  The former option is provided mainly for    */
    /*  people who need to call Triangle from Fortran code, though it also makes */
    /*  possible some nasty space-saving tricks, like writing the output to the  */
    /*  same arrays as the input.                                                */
    /*                                                                           */
    /*  Triangle will not free() any input or output arrays, including those it  */
    /*  allocates itself; that's up to you.                                      */
    /*                                                                           */
    /*  Here's a guide to help you decide which fields you must initialize       */
    /*  before you call triangulate().                                           */
    /*                                                                           */
    /*  `in':                                                                    */
    /*                                                                           */
    /*    - `pointlist' must always point to a list of points; `numberofpoints'  */
    /*      and `numberofpointattributes' must be properly set.                  */
    /*      `pointmarkerlist' must either be set to NULL (in which case all      */
    /*      markers default to zero), or must point to a list of markers.  If    */
    /*      `numberofpointattributes' is not zero, `pointattributelist' must     */
    /*      point to a list of point attributes.                                 */
    /*    - If the `r' switch is used, `trianglelist' must point to a list of    */
    /*      triangles, and `numberoftriangles', `numberofcorners', and           */
    /*      `numberoftriangleattributes' must be properly set.  If               */
    /*      `numberoftriangleattributes' is not zero, `triangleattributelist'    */
    /*      must point to a list of triangle attributes.  If the `a' switch is   */
    /*      used (with no number following), `trianglearealist' must point to a  */
    /*      list of triangle area constraints.  `neighborlist' may be ignored.   */
    /*    - If the `p' switch is used, `segmentlist' must point to a list of     */
    /*      segments, `numberofsegments' must be properly set, and               */
    /*      `segmentmarkerlist' must either be set to NULL (in which case all    */
    /*      markers default to zero), or must point to a list of markers.        */
    /*    - If the `p' switch is used without the `r' switch, then               */
    /*      `numberofholes' and `numberofregions' must be properly set.  If      */
    /*      `numberofholes' is not zero, `holelist' must point to a list of      */
    /*      holes.  If `numberofregions' is not zero, `regionlist' must point to */
    /*      a list of region constraints.                                        */
    /*    - If the `p' switch is used, `holelist', `numberofholes',              */
    /*      `regionlist', and `numberofregions' is copied to `out'.  (You can    */
    /*      nonetheless get away with not initializing them if the `r' switch is */
    /*      used.)                                                               */
    /*    - `edgelist', `edgemarkerlist', `normlist', and `numberofedges' may be */
    /*      ignored.                                                             */
    /*                                                                           */
    /*  `out':                                                                   */
    /*                                                                           */
    /*    - `pointlist' must be initialized (NULL or pointing to memory) unless  */
    /*      the `N' switch is used.  `pointmarkerlist' must be initialized       */
    /*      unless the `N' or `B' switch is used.  If `N' is not used and        */
    /*      `in->numberofpointattributes' is not zero, `pointattributelist' must */
    /*      be initialized.                                                      */
    /*    - `trianglelist' must be initialized unless the `E' switch is used.    */
    /*      `neighborlist' must be initialized if the `n' switch is used.  If    */
    /*      the `E' switch is not used and (`in->numberofelementattributes' is   */
    /*      not zero or the `A' switch is used), `elementattributelist' must be  */
    /*      initialized.  `trianglearealist' may be ignored.                     */
    /*    - `segmentlist' must be initialized if the `p' or `c' switch is used,  */
    /*      and the `P' switch is not used.  `segmentmarkerlist' must also be    */
    /*      initialized under these circumstances unless the `B' switch is used. */
    /*    - `edgelist' must be initialized if the `e' switch is used.            */
    /*      `edgemarkerlist' must be initialized if the `e' switch is used and   */
    /*      the `B' switch is not.                                               */
    /*    - `holelist', `regionlist', `normlist', and all scalars may be ignored.*/
    /*                                                                           */
    /*  `vorout' (only needed if `v' switch is used):                            */
    /*                                                                           */
    /*    - `pointlist' must be initialized.  If `in->numberofpointattributes'   */
    /*      is not zero, `pointattributelist' must be initialized.               */
    /*      `pointmarkerlist' may be ignored.                                    */
    /*    - `edgelist' and `normlist' must both be initialized.                  */
    /*      `edgemarkerlist' may be ignored.                                     */
    /*    - Everything else may be ignored.                                      */
    /*                                                                           */
    /*  After a call to triangulate(), the valid fields of `out' and `vorout'    */
    /*  will depend, in an obvious way, on the choice of switches used.  Note    */
    /*  that when the `p' switch is used, the pointers `holelist' and            */
    /*  `regionlist' are copied from `in' to `out', but no new space is          */
    /*  allocated; be careful that you don't free() the same array twice.  On    */
    /*  the other hand, Triangle will never copy the `pointlist' pointer (or any */
    /*  others); new space is allocated for `out->pointlist', or if the `N'      */
    /*  switch is used, `out->pointlist' remains uninitialized.                  */
    /*                                                                           */
    /*  All of the meaningful `numberof' fields will be properly set; for        */
    /*  instance, `numberofedges' will represent the number of edges in the      */
    /*  triangulation whether or not the edges were written.  If segments are    */
    /*  not used, `numberofsegments' will indicate the number of boundary edges. */
    /*                                                                           */
    /*****************************************************************************/
    
    struct triangulateio {
      REAL *pointlist;                                               /* In / out */
      REAL *pointattributelist;                                      /* In / out */
      int *pointmarkerlist;                                          /* In / out */
      int numberofpoints;                                            /* In / out */
      int numberofpointattributes;                                   /* In / out */
    
      int *trianglelist;                                             /* In / out */
      REAL *triangleattributelist;                                   /* In / out */
      REAL *trianglearealist;                                         /* In only */
      int *neighborlist;                                             /* Out only */
      int numberoftriangles;                                         /* In / out */
      int numberofcorners;                                           /* In / out */
      int numberoftriangleattributes;                                /* In / out */
    
      int *segmentlist;                                              /* In / out */
      int *segmentmarkerlist;                                        /* In / out */
      int numberofsegments;                                          /* In / out */
    
      REAL *holelist;                        /* In / pointer to array copied out */
      int numberofholes;                                      /* In / copied out */
    
      REAL *regionlist;                      /* In / pointer to array copied out */
      int numberofregions;                                    /* In / copied out */
    
      int *edgelist;                                                 /* Out only */
      int *edgemarkerlist;            /* Not used with Voronoi diagram; out only */
      REAL *normlist;                /* Used only with Voronoi diagram; out only */
      int numberofedges;                                             /* Out only */
    };
    
    #ifdef ANSI_DECLARATORS
    void triangulate(char *, struct triangulateio *, struct triangulateio *,
                     struct triangulateio *);
    #else /* not ANSI_DECLARATORS */
    void triangulate();
    #endif /* not ANSI_DECLARATORS */