Mercurial > hg > octave-nkf
annotate scripts/sparse/treeplot.m @ 20830:b65888ec820e draft default tip gccjit
dmalcom gcc jit import
author | Stefan Mahr <dac922@gmx.de> |
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date | Fri, 27 Feb 2015 16:59:36 +0100 |
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1 ## Copyright (C) 2005-2015 Ivana Varekova |
5576 | 2 ## |
7016 | 3 ## This file is part of Octave. |
5576 | 4 ## |
7016 | 5 ## Octave is free software; you can redistribute it and/or modify it |
6 ## under the terms of the GNU General Public License as published by | |
7 ## the Free Software Foundation; either version 3 of the License, or (at | |
8 ## your option) any later version. | |
9 ## | |
10 ## Octave is distributed in the hope that it will be useful, but | |
11 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
13 ## General Public License for more details. | |
5576 | 14 ## |
15 ## You should have received a copy of the GNU General Public License | |
7016 | 16 ## along with Octave; see the file COPYING. If not, see |
17 ## <http://www.gnu.org/licenses/>. | |
5576 | 18 |
19 ## -*- texinfo -*- | |
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20 ## @deftypefn {Function File} {} treeplot (@var{tree}) |
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21 ## @deftypefnx {Function File} {} treeplot (@var{tree}, @var{node_style}, @var{edge_style}) |
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22 ## Produce a graph of tree or forest. |
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23 ## |
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24 ## The first argument is vector of predecessors. |
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25 ## |
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26 ## The optional parameters @var{node_style} and @var{edge_style} define the |
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27 ## output plot style. |
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28 ## |
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29 ## The complexity of the algorithm is O(n) in terms of is time and memory |
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30 ## requirements. |
5642 | 31 ## @seealso{etreeplot, gplot} |
5576 | 32 ## @end deftypefn |
33 | |
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34 function treeplot (tree, node_style = "ko", edge_style = "r") |
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36 if (nargin < 1 || nargin > 3 || nargout > 0) | |
6498 | 37 print_usage (); |
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38 endif |
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40 if (! ismatrix (tree) || rows (tree) != 1 || ! isnumeric (tree) |
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41 || ! isvector (tree) || any (tree > length (tree))) |
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42 error ("treeplot: TREE must be a vector of predecessors"); |
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43 endif |
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45 ## Verify node_style |
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46 if (nargin > 1) |
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47 if (isempty (regexp (node_style, '[ox+*]', 'once'))) |
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48 node_style = [node_style, "o"]; |
5576 | 49 endif |
50 endif | |
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51 |
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52 ## Make it a row vector. |
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53 tree = tree(:)'; |
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54 |
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55 ## The count of nodes of the graph. |
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56 num_nodes = length (tree); |
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57 |
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58 ## The number of children. |
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59 num_children = zeros (1, num_nodes+1); |
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60 |
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61 for i = 1:num_nodes |
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62 ## VEC_OF_CHILD is helping vector which is used to speed up the |
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63 ## choose of descendant nodes. |
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64 |
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65 num_children(tree(i)+1) = num_children(tree(i)+1) + 1; |
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66 endfor |
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67 pos = 1; |
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68 start = zeros (1, num_nodes+1); |
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69 xhelp = zeros (1, num_nodes+1); |
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70 stop = zeros (1, num_nodes+1); |
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71 for i = 1:num_nodes+1 |
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72 start(i) = pos; |
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73 xhelp(i) = pos; |
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74 pos += num_children(i); |
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75 stop(i) = pos; |
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76 endfor |
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77 for i = 1:num_nodes |
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78 vec_of_child(xhelp(tree(i)+1)) = i; |
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79 xhelp(tree(i)+1) = xhelp(tree(i)+1)+1; |
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80 endfor |
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81 |
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82 ## The number of "parent" (actual) node (it's descendants will be |
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83 ## browse in the next iteration). |
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84 par_number = 0; |
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85 |
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86 ## The x-coordinate of the left most descendant of "parent node" |
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87 ## this value is increased in each leaf. |
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88 left_most = 0; |
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89 |
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90 ## The level of "parent" node (root level is num_nodes). |
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91 level = num_nodes; |
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92 |
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93 ## Num_nodes - max_ht is the height of this graph. |
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94 max_ht = num_nodes; |
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95 |
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96 ## Main stack - each item consists of two numbers - the number of |
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97 ## node and the number it's of parent node on the top of stack |
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98 ## there is "parent node". |
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99 stk = [-1, 0]; |
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100 |
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101 ## Stack which is use to draw the graph edge (it have to be |
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102 ## uninterupted line). |
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103 skelet = 0; |
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104 |
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105 ## The top of the stack. |
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106 while (par_number != -1) |
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107 if (start(par_number+1) < stop(par_number+1)) |
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108 idx = vec_of_child(start(par_number+1):stop(par_number+1)-1); |
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109 else |
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110 idx = zeros (1, 0); |
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111 endif |
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112 ## Add to idx the vector of parent descendants. |
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113 stk = [stk; [idx', ones(fliplr(size(idx)))*par_number]]; |
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114 ## Add to stack the records relevant to parent descandant s. |
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115 if (par_number != 0) |
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116 skelet = [skelet; ([ones(size(idx))*par_number; idx])(:)]; |
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117 endif |
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118 |
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119 ## If there is not any descendant of "parent node": |
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120 if (stk(end,2) != par_number) |
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121 left_most++; |
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122 x_coordinate_r(par_number) = left_most; |
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123 max_ht = min (max_ht, level); |
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124 if (length (stk) > 1 && find ((shift (stk,1) - stk) == 0) > 1 |
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125 && stk(end,2) != stk(end-1,2)) |
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126 ## Return to the nearest branching the position to return |
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127 ## position is the position on the stack, where should be |
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128 ## started further search (there are two nodes which has the |
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129 ## same parent node). |
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130 position = (find ((shift (stk(:,2),1) - stk(:,2)) == 0))(end) + 1; |
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131 par_number_vec = stk(position:end,2); |
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132 ## The vector of removed nodes (the content of stack form |
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133 ## position to end). |
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134 skelet = [skelet; flipud(par_number_vec)]; |
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135 level += length (par_number_vec); |
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136 ## The level have to be decreased. |
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137 x_coordinate_r(par_number_vec) = left_most; |
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138 stk(position:end,:) = []; |
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139 endif |
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140 ## Remove the next node from "searched branch". |
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141 stk(end,:) = []; |
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142 ## Choose new "parent node". |
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143 par_number = stk(end,1); |
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144 ## If there is another branch start to search it. |
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145 if (par_number != -1) |
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146 skelet = [skelet; stk(end,2); par_number]; |
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147 y_coordinate(par_number) = level; |
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148 x_coordinate_l(par_number) = left_most + 1; |
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149 endif |
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150 else |
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151 ## There were descendants of "parent nod" choose the last of |
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152 ## them and go on through it. |
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153 level--; |
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154 par_number = stk(end,1); |
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155 y_coordinate(par_number) = level; |
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156 x_coordinate_l(par_number) = left_most + 1; |
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157 endif |
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158 endwhile |
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159 |
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160 ## Calculate the x coordinates (the known values are the position |
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161 ## of most left and most right descendants). |
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162 x_coordinate = (x_coordinate_l + x_coordinate_r) / 2; |
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163 |
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164 ## FIXME: We should probably stuff all the arguments into a cell |
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165 ## array and make a single call to plot here so we can avoid |
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166 ## setting the hold state... |
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167 |
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168 hold_is_on = ishold (); |
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169 unwind_protect |
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170 ## Plot graph nodes. |
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171 plot (x_coordinate, y_coordinate, node_style); |
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172 |
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173 ## Helping command - usable for plotting edges |
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174 skelet = [skelet; 0]; |
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175 |
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176 ## Draw graph edges. |
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177 idx = find (skelet == 0); |
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178 |
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179 hold ("on"); |
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180 ## Plot each tree component in one loop. |
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181 for i = 2:length (idx) |
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182 ## Tree component start. |
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183 istart = idx(i-1) + 1; |
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184 ## Tree component end. |
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185 istop = idx(i) - 1; |
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186 if (istop - istart < 1) |
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187 continue; |
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188 endif |
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189 plot (x_coordinate(skelet(istart:istop)), |
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190 y_coordinate(skelet(istart:istop)), edge_style); |
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191 endfor |
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192 |
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193 ## Set axis and graph size. |
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194 axis ([0.5, left_most+0.5, max_ht-0.5, num_nodes-0.5], "nolabel"); |
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195 |
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196 unwind_protect_cleanup |
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197 if (! hold_is_on) |
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198 hold ("off"); |
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199 endif |
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200 end_unwind_protect |
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201 |
5576 | 202 endfunction |
203 | |
204 | |
205 %!demo | |
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206 %! clf; |
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207 %! treeplot ([2 4 2 0 6 4 6]); |
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208 %! % Plot a simple tree plot |
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209 |
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210 %!demo |
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211 %! clf; |
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212 %! treeplot ([2 4 2 0 6 4 6], "b+", "g"); |
5576 | 213 %! % Plot a simple tree plot defining the edge and node styles |
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214 |