1 | /*****************************************************************************/ |
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2 | /* */ |
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3 | /* (triangle.h) */ |
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4 | /* */ |
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5 | /* Include file for programs that call Triangle. */ |
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6 | /* */ |
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7 | /* Accompanies Triangle Version 1.6 */ |
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8 | /* July 28, 2005 */ |
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9 | /* */ |
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10 | /* Copyright 1996, 2005 */ |
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11 | /* Jonathan Richard Shewchuk */ |
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12 | /* 2360 Woolsey #H */ |
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13 | /* Berkeley, California 94705-1927 */ |
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14 | /* jrs@cs.berkeley.edu */ |
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15 | /* */ |
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16 | /*****************************************************************************/ |
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17 | |
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18 | /*****************************************************************************/ |
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19 | /* */ |
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20 | /* How to call Triangle from another program */ |
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21 | /* */ |
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22 | /* */ |
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23 | /* If you haven't read Triangle's instructions (run "triangle -h" to read */ |
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24 | /* them), you won't understand what follows. */ |
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25 | /* */ |
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26 | /* Triangle must be compiled into an object file (triangle.o) with the */ |
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27 | /* TRILIBRARY symbol defined (generally by using the -DTRILIBRARY compiler */ |
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28 | /* switch). The makefile included with Triangle will do this for you if */ |
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29 | /* you run "make trilibrary". The resulting object file can be called via */ |
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30 | /* the procedure triangulate(). */ |
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31 | /* */ |
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32 | /* If the size of the object file is important to you, you may wish to */ |
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33 | /* generate a reduced version of triangle.o. The REDUCED symbol gets rid */ |
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34 | /* of all features that are primarily of research interest. Specifically, */ |
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35 | /* the -DREDUCED switch eliminates Triangle's -i, -F, -s, and -C switches. */ |
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36 | /* The CDT_ONLY symbol gets rid of all meshing algorithms above and beyond */ |
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37 | /* constrained Delaunay triangulation. Specifically, the -DCDT_ONLY switch */ |
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38 | /* eliminates Triangle's -r, -q, -a, -u, -D, -Y, -S, and -s switches. */ |
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39 | /* */ |
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40 | /* IMPORTANT: These definitions (TRILIBRARY, REDUCED, CDT_ONLY) must be */ |
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41 | /* made in the makefile or in triangle.c itself. Putting these definitions */ |
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42 | /* in this file (triangle.h) will not create the desired effect. */ |
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43 | /* */ |
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44 | /* */ |
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45 | /* The calling convention for triangulate() follows. */ |
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46 | /* */ |
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47 | /* void triangulate(triswitches, in, out, vorout) */ |
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48 | /* char *triswitches; */ |
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49 | /* struct triangulateio *in; */ |
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50 | /* struct triangulateio *out; */ |
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51 | /* struct triangulateio *vorout; */ |
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52 | /* */ |
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53 | /* `triswitches' is a string containing the command line switches you wish */ |
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54 | /* to invoke. No initial dash is required. Some suggestions: */ |
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55 | /* */ |
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56 | /* - You'll probably find it convenient to use the `z' switch so that */ |
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57 | /* points (and other items) are numbered from zero. This simplifies */ |
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58 | /* indexing, because the first item of any type always starts at index */ |
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59 | /* [0] of the corresponding array, whether that item's number is zero or */ |
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60 | /* one. */ |
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61 | /* - You'll probably want to use the `Q' (quiet) switch in your final code, */ |
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62 | /* but you can take advantage of Triangle's printed output (including the */ |
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63 | /* `V' switch) while debugging. */ |
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64 | /* - If you are not using the `q', `a', `u', `D', `j', or `s' switches, */ |
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65 | /* then the output points will be identical to the input points, except */ |
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66 | /* possibly for the boundary markers. If you don't need the boundary */ |
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67 | /* markers, you should use the `N' (no nodes output) switch to save */ |
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68 | /* memory. (If you do need boundary markers, but need to save memory, a */ |
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69 | /* good nasty trick is to set out->pointlist equal to in->pointlist */ |
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70 | /* before calling triangulate(), so that Triangle overwrites the input */ |
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71 | /* points with identical copies.) */ |
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72 | /* - The `I' (no iteration numbers) and `g' (.off file output) switches */ |
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73 | /* have no effect when Triangle is compiled with TRILIBRARY defined. */ |
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74 | /* */ |
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75 | /* `in', `out', and `vorout' are descriptions of the input, the output, */ |
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76 | /* and the Voronoi output. If the `v' (Voronoi output) switch is not used, */ |
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77 | /* `vorout' may be NULL. `in' and `out' may never be NULL. */ |
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78 | /* */ |
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79 | /* Certain fields of the input and output structures must be initialized, */ |
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80 | /* as described below. */ |
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81 | /* */ |
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82 | /*****************************************************************************/ |
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83 | |
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84 | /*****************************************************************************/ |
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85 | /* */ |
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86 | /* The `triangulateio' structure. */ |
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87 | /* */ |
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88 | /* Used to pass data into and out of the triangulate() procedure. */ |
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89 | /* */ |
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90 | /* */ |
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91 | /* Arrays are used to store points, triangles, markers, and so forth. In */ |
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92 | /* all cases, the first item in any array is stored starting at index [0]. */ |
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93 | /* However, that item is item number `1' unless the `z' switch is used, in */ |
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94 | /* which case it is item number `0'. Hence, you may find it easier to */ |
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95 | /* index points (and triangles in the neighbor list) if you use the `z' */ |
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96 | /* switch. Unless, of course, you're calling Triangle from a Fortran */ |
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97 | /* program. */ |
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98 | /* */ |
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99 | /* Description of fields (except the `numberof' fields, which are obvious): */ |
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100 | /* */ |
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101 | /* `pointlist': An array of point coordinates. The first point's x */ |
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102 | /* coordinate is at index [0] and its y coordinate at index [1], followed */ |
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103 | /* by the coordinates of the remaining points. Each point occupies two */ |
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104 | /* REALs. */ |
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105 | /* `pointattributelist': An array of point attributes. Each point's */ |
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106 | /* attributes occupy `numberofpointattributes' REALs. */ |
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107 | /* `pointmarkerlist': An array of point markers; one int per point. */ |
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108 | /* */ |
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109 | /* `trianglelist': An array of triangle corners. The first triangle's */ |
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110 | /* first corner is at index [0], followed by its other two corners in */ |
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111 | /* counterclockwise order, followed by any other nodes if the triangle */ |
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112 | /* represents a nonlinear element. Each triangle occupies */ |
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113 | /* `numberofcorners' ints. */ |
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114 | /* `triangleattributelist': An array of triangle attributes. Each */ |
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115 | /* triangle's attributes occupy `numberoftriangleattributes' REALs. */ |
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116 | /* `trianglearealist': An array of triangle area constraints; one REAL per */ |
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117 | /* triangle. Input only. */ |
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118 | /* `neighborlist': An array of triangle neighbors; three ints per */ |
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119 | /* triangle. Output only. */ |
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120 | /* */ |
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121 | /* `segmentlist': An array of segment endpoints. The first segment's */ |
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122 | /* endpoints are at indices [0] and [1], followed by the remaining */ |
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123 | /* segments. Two ints per segment. */ |
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124 | /* `segmentmarkerlist': An array of segment markers; one int per segment. */ |
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125 | /* */ |
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126 | /* `holelist': An array of holes. The first hole's x and y coordinates */ |
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127 | /* are at indices [0] and [1], followed by the remaining holes. Two */ |
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128 | /* REALs per hole. Input only, although the pointer is copied to the */ |
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129 | /* output structure for your convenience. */ |
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130 | /* */ |
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131 | /* `regionlist': An array of regional attributes and area constraints. */ |
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132 | /* The first constraint's x and y coordinates are at indices [0] and [1], */ |
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133 | /* followed by the regional attribute at index [2], followed by the */ |
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134 | /* maximum area at index [3], followed by the remaining area constraints. */ |
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135 | /* Four REALs per area constraint. Note that each regional attribute is */ |
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136 | /* used only if you select the `A' switch, and each area constraint is */ |
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137 | /* used only if you select the `a' switch (with no number following), but */ |
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138 | /* omitting one of these switches does not change the memory layout. */ |
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139 | /* Input only, although the pointer is copied to the output structure for */ |
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140 | /* your convenience. */ |
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141 | /* */ |
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142 | /* `edgelist': An array of edge endpoints. The first edge's endpoints are */ |
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143 | /* at indices [0] and [1], followed by the remaining edges. Two ints per */ |
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144 | /* edge. Output only. */ |
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145 | /* `edgemarkerlist': An array of edge markers; one int per edge. Output */ |
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146 | /* only. */ |
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147 | /* `normlist': An array of normal vectors, used for infinite rays in */ |
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148 | /* Voronoi diagrams. The first normal vector's x and y magnitudes are */ |
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149 | /* at indices [0] and [1], followed by the remaining vectors. For each */ |
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150 | /* finite edge in a Voronoi diagram, the normal vector written is the */ |
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151 | /* zero vector. Two REALs per edge. Output only. */ |
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152 | /* */ |
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153 | /* */ |
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154 | /* Any input fields that Triangle will examine must be initialized. */ |
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155 | /* Furthermore, for each output array that Triangle will write to, you */ |
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156 | /* must either provide space by setting the appropriate pointer to point */ |
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157 | /* to the space you want the data written to, or you must initialize the */ |
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158 | /* pointer to NULL, which tells Triangle to allocate space for the results. */ |
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159 | /* The latter option is preferable, because Triangle always knows exactly */ |
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160 | /* how much space to allocate. The former option is provided mainly for */ |
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161 | /* people who need to call Triangle from Fortran code, though it also makes */ |
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162 | /* possible some nasty space-saving tricks, like writing the output to the */ |
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163 | /* same arrays as the input. */ |
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164 | /* */ |
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165 | /* Triangle will not free() any input or output arrays, including those it */ |
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166 | /* allocates itself; that's up to you. You should free arrays allocated by */ |
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167 | /* Triangle by calling the trifree() procedure defined below. (By default, */ |
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168 | /* trifree() just calls the standard free() library procedure, but */ |
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169 | /* applications that call triangulate() may replace trimalloc() and */ |
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170 | /* trifree() in triangle.c to use specialized memory allocators.) */ |
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171 | /* */ |
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172 | /* Here's a guide to help you decide which fields you must initialize */ |
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173 | /* before you call triangulate(). */ |
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174 | /* */ |
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175 | /* `in': */ |
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176 | /* */ |
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177 | /* - `pointlist' must always point to a list of points; `numberofpoints' */ |
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178 | /* and `numberofpointattributes' must be properly set. */ |
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179 | /* `pointmarkerlist' must either be set to NULL (in which case all */ |
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180 | /* markers default to zero), or must point to a list of markers. If */ |
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181 | /* `numberofpointattributes' is not zero, `pointattributelist' must */ |
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182 | /* point to a list of point attributes. */ |
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183 | /* - If the `r' switch is used, `trianglelist' must point to a list of */ |
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184 | /* triangles, and `numberoftriangles', `numberofcorners', and */ |
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185 | /* `numberoftriangleattributes' must be properly set. If */ |
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186 | /* `numberoftriangleattributes' is not zero, `triangleattributelist' */ |
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187 | /* must point to a list of triangle attributes. If the `a' switch is */ |
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188 | /* used (with no number following), `trianglearealist' must point to a */ |
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189 | /* list of triangle area constraints. `neighborlist' may be ignored. */ |
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190 | /* - If the `p' switch is used, `segmentlist' must point to a list of */ |
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191 | /* segments, `numberofsegments' must be properly set, and */ |
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192 | /* `segmentmarkerlist' must either be set to NULL (in which case all */ |
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193 | /* markers default to zero), or must point to a list of markers. */ |
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194 | /* - If the `p' switch is used without the `r' switch, then */ |
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195 | /* `numberofholes' and `numberofregions' must be properly set. If */ |
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196 | /* `numberofholes' is not zero, `holelist' must point to a list of */ |
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197 | /* holes. If `numberofregions' is not zero, `regionlist' must point to */ |
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198 | /* a list of region constraints. */ |
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199 | /* - If the `p' switch is used, `holelist', `numberofholes', */ |
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200 | /* `regionlist', and `numberofregions' is copied to `out'. (You can */ |
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201 | /* nonetheless get away with not initializing them if the `r' switch is */ |
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202 | /* used.) */ |
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203 | /* - `edgelist', `edgemarkerlist', `normlist', and `numberofedges' may be */ |
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204 | /* ignored. */ |
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205 | /* */ |
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206 | /* `out': */ |
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207 | /* */ |
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208 | /* - `pointlist' must be initialized (NULL or pointing to memory) unless */ |
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209 | /* the `N' switch is used. `pointmarkerlist' must be initialized */ |
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210 | /* unless the `N' or `B' switch is used. If `N' is not used and */ |
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211 | /* `in->numberofpointattributes' is not zero, `pointattributelist' must */ |
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212 | /* be initialized. */ |
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213 | /* - `trianglelist' must be initialized unless the `E' switch is used. */ |
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214 | /* `neighborlist' must be initialized if the `n' switch is used. If */ |
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215 | /* the `E' switch is not used and (`in->numberofelementattributes' is */ |
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216 | /* not zero or the `A' switch is used), `elementattributelist' must be */ |
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217 | /* initialized. `trianglearealist' may be ignored. */ |
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218 | /* - `segmentlist' must be initialized if the `p' or `c' switch is used, */ |
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219 | /* and the `P' switch is not used. `segmentmarkerlist' must also be */ |
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220 | /* initialized under these circumstances unless the `B' switch is used. */ |
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221 | /* - `edgelist' must be initialized if the `e' switch is used. */ |
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222 | /* `edgemarkerlist' must be initialized if the `e' switch is used and */ |
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223 | /* the `B' switch is not. */ |
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224 | /* - `holelist', `regionlist', `normlist', and all scalars may be ignored.*/ |
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225 | /* */ |
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226 | /* `vorout' (only needed if `v' switch is used): */ |
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227 | /* */ |
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228 | /* - `pointlist' must be initialized. If `in->numberofpointattributes' */ |
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229 | /* is not zero, `pointattributelist' must be initialized. */ |
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230 | /* `pointmarkerlist' may be ignored. */ |
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231 | /* - `edgelist' and `normlist' must both be initialized. */ |
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232 | /* `edgemarkerlist' may be ignored. */ |
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233 | /* - Everything else may be ignored. */ |
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234 | /* */ |
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235 | /* After a call to triangulate(), the valid fields of `out' and `vorout' */ |
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236 | /* will depend, in an obvious way, on the choice of switches used. Note */ |
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237 | /* that when the `p' switch is used, the pointers `holelist' and */ |
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238 | /* `regionlist' are copied from `in' to `out', but no new space is */ |
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239 | /* allocated; be careful that you don't free() the same array twice. On */ |
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240 | /* the other hand, Triangle will never copy the `pointlist' pointer (or any */ |
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241 | /* others); new space is allocated for `out->pointlist', or if the `N' */ |
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242 | /* switch is used, `out->pointlist' remains uninitialized. */ |
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243 | /* */ |
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244 | /* All of the meaningful `numberof' fields will be properly set; for */ |
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245 | /* instance, `numberofedges' will represent the number of edges in the */ |
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246 | /* triangulation whether or not the edges were written. If segments are */ |
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247 | /* not used, `numberofsegments' will indicate the number of boundary edges. */ |
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248 | /* */ |
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249 | /*****************************************************************************/ |
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250 | |
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251 | struct triangulateio { |
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252 | REAL *pointlist; /* In / out */ |
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253 | REAL *pointattributelist; /* In / out */ |
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254 | int *pointmarkerlist; /* In / out */ |
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255 | int numberofpoints; /* In / out */ |
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256 | int numberofpointattributes; /* In / out */ |
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257 | |
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258 | int *trianglelist; /* In / out */ |
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259 | REAL *triangleattributelist; /* In / out */ |
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260 | REAL *trianglearealist; /* In only */ |
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261 | int *neighborlist; /* Out only */ |
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262 | int numberoftriangles; /* In / out */ |
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263 | int numberofcorners; /* In / out */ |
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264 | int numberoftriangleattributes; /* In / out */ |
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265 | |
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266 | int *segmentlist; /* In / out */ |
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267 | int *segmentmarkerlist; /* In / out */ |
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268 | int numberofsegments; /* In / out */ |
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269 | |
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270 | REAL *holelist; /* In / pointer to array copied out */ |
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271 | int numberofholes; /* In / copied out */ |
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272 | |
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273 | REAL *regionlist; /* In / pointer to array copied out */ |
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274 | int numberofregions; /* In / copied out */ |
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275 | |
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276 | int *edgelist; /* Out only */ |
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277 | int *edgemarkerlist; /* Not used with Voronoi diagram; out only */ |
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278 | REAL *normlist; /* Used only with Voronoi diagram; out only */ |
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279 | int numberofedges; /* Out only */ |
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280 | }; |
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281 | |
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282 | #ifdef ANSI_DECLARATORS |
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283 | void triangulate(char *, struct triangulateio *, struct triangulateio *, |
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284 | struct triangulateio *); |
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285 | void trifree(VOID *memptr); |
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286 | #else /* not ANSI_DECLARATORS */ |
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287 | void triangulate(); |
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288 | void trifree(); |
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289 | #endif /* not ANSI_DECLARATORS */ |
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