""" This module defines export functions for decision trees. """ # Authors: Gilles Louppe # Peter Prettenhofer # Brian Holt # Noel Dawe # Satrajit Gosh # Trevor Stephens # License: BSD 3 clause import numpy as np import warnings from ..externals import six from . import _criterion from . import _tree def _color_brew(n): """Generate n colors with equally spaced hues. Parameters ---------- n : int The number of colors required. Returns ------- color_list : list, length n List of n tuples of form (R, G, B) being the components of each color. """ color_list = [] # Initialize saturation & value; calculate chroma & value shift s, v = 0.75, 0.9 c = s * v m = v - c for h in np.arange(25, 385, 360. / n).astype(int): # Calculate some intermediate values h_bar = h / 60. x = c * (1 - abs((h_bar % 2) - 1)) # Initialize RGB with same hue & chroma as our color rgb = [(c, x, 0), (x, c, 0), (0, c, x), (0, x, c), (x, 0, c), (c, 0, x), (c, x, 0)] r, g, b = rgb[int(h_bar)] # Shift the initial RGB values to match value and store rgb = [(int(255 * (r + m))), (int(255 * (g + m))), (int(255 * (b + m)))] color_list.append(rgb) return color_list class Sentinel(object): def __repr__(): return '"tree.dot"' SENTINEL = Sentinel() def export_graphviz(decision_tree, out_file=SENTINEL, max_depth=None, feature_names=None, class_names=None, label='all', filled=False, leaves_parallel=False, impurity=True, node_ids=False, proportion=False, rotate=False, rounded=False, special_characters=False): """Export a decision tree in DOT format. This function generates a GraphViz representation of the decision tree, which is then written into `out_file`. Once exported, graphical renderings can be generated using, for example:: $ dot -Tps tree.dot -o tree.ps (PostScript format) $ dot -Tpng tree.dot -o tree.png (PNG format) The sample counts that are shown are weighted with any sample_weights that might be present. Read more in the :ref:`User Guide `. Parameters ---------- decision_tree : decision tree classifier The decision tree to be exported to GraphViz. out_file : file object or string, optional (default='tree.dot') Handle or name of the output file. If ``None``, the result is returned as a string. This will the default from version 0.20. max_depth : int, optional (default=None) The maximum depth of the representation. If None, the tree is fully generated. feature_names : list of strings, optional (default=None) Names of each of the features. class_names : list of strings, bool or None, optional (default=None) Names of each of the target classes in ascending numerical order. Only relevant for classification and not supported for multi-output. If ``True``, shows a symbolic representation of the class name. label : {'all', 'root', 'none'}, optional (default='all') Whether to show informative labels for impurity, etc. Options include 'all' to show at every node, 'root' to show only at the top root node, or 'none' to not show at any node. filled : bool, optional (default=False) When set to ``True``, paint nodes to indicate majority class for classification, extremity of values for regression, or purity of node for multi-output. leaves_parallel : bool, optional (default=False) When set to ``True``, draw all leaf nodes at the bottom of the tree. impurity : bool, optional (default=True) When set to ``True``, show the impurity at each node. node_ids : bool, optional (default=False) When set to ``True``, show the ID number on each node. proportion : bool, optional (default=False) When set to ``True``, change the display of 'values' and/or 'samples' to be proportions and percentages respectively. rotate : bool, optional (default=False) When set to ``True``, orient tree left to right rather than top-down. rounded : bool, optional (default=False) When set to ``True``, draw node boxes with rounded corners and use Helvetica fonts instead of Times-Roman. special_characters : bool, optional (default=False) When set to ``False``, ignore special characters for PostScript compatibility. Returns ------- dot_data : string String representation of the input tree in GraphViz dot format. Only returned if ``out_file`` is None. .. versionadded:: 0.18 Examples -------- >>> from sklearn.datasets import load_iris >>> from sklearn import tree >>> clf = tree.DecisionTreeClassifier() >>> iris = load_iris() >>> clf = clf.fit(iris.data, iris.target) >>> tree.export_graphviz(clf, ... out_file='tree.dot') # doctest: +SKIP """ def get_color(value): # Find the appropriate color & intensity for a node if colors['bounds'] is None: # Classification tree color = list(colors['rgb'][np.argmax(value)]) sorted_values = sorted(value, reverse=True) if len(sorted_values) == 1: alpha = 0 else: alpha = int(np.round(255 * (sorted_values[0] - sorted_values[1]) / (1 - sorted_values[1]), 0)) else: # Regression tree or multi-output color = list(colors['rgb'][0]) alpha = int(np.round(255 * ((value - colors['bounds'][0]) / (colors['bounds'][1] - colors['bounds'][0])), 0)) # Return html color code in #RRGGBBAA format color.append(alpha) hex_codes = [str(i) for i in range(10)] hex_codes.extend(['a', 'b', 'c', 'd', 'e', 'f']) color = [hex_codes[c // 16] + hex_codes[c % 16] for c in color] return '#' + ''.join(color) def node_to_str(tree, node_id, criterion): # Generate the node content string if tree.n_outputs == 1: value = tree.value[node_id][0, :] else: value = tree.value[node_id] # Should labels be shown? labels = (label == 'root' and node_id == 0) or label == 'all' # PostScript compatibility for special characters if special_characters: characters = ['#', '', '', '≤', '
', '>'] node_string = '<' else: characters = ['#', '[', ']', '<=', '\\n', '"'] node_string = '"' # Write node ID if node_ids: if labels: node_string += 'node ' node_string += characters[0] + str(node_id) + characters[4] # Write decision criteria if tree.children_left[node_id] != _tree.TREE_LEAF: # Always write node decision criteria, except for leaves if feature_names is not None: feature = feature_names[tree.feature[node_id]] else: feature = "X%s%s%s" % (characters[1], tree.feature[node_id], characters[2]) node_string += '%s %s %s%s' % (feature, characters[3], round(tree.threshold[node_id], 4), characters[4]) # Write impurity if impurity: if isinstance(criterion, _criterion.FriedmanMSE): criterion = "friedman_mse" elif not isinstance(criterion, six.string_types): criterion = "impurity" if labels: node_string += '%s = ' % criterion node_string += (str(round(tree.impurity[node_id], 4)) + characters[4]) # Write node sample count if labels: node_string += 'samples = ' if proportion: percent = (100. * tree.n_node_samples[node_id] / float(tree.n_node_samples[0])) node_string += (str(round(percent, 1)) + '%' + characters[4]) else: node_string += (str(tree.n_node_samples[node_id]) + characters[4]) # Write node class distribution / regression value if proportion and tree.n_classes[0] != 1: # For classification this will show the proportion of samples value = value / tree.weighted_n_node_samples[node_id] if labels: node_string += 'value = ' if tree.n_classes[0] == 1: # Regression value_text = np.around(value, 4) elif proportion: # Classification value_text = np.around(value, 2) elif np.all(np.equal(np.mod(value, 1), 0)): # Classification without floating-point weights value_text = value.astype(int) else: # Classification with floating-point weights value_text = np.around(value, 4) # Strip whitespace value_text = str(value_text.astype('S32')).replace("b'", "'") value_text = value_text.replace("' '", ", ").replace("'", "") if tree.n_classes[0] == 1 and tree.n_outputs == 1: value_text = value_text.replace("[", "").replace("]", "") value_text = value_text.replace("\n ", characters[4]) node_string += value_text + characters[4] # Write node majority class if (class_names is not None and tree.n_classes[0] != 1 and tree.n_outputs == 1): # Only done for single-output classification trees if labels: node_string += 'class = ' if class_names is not True: class_name = class_names[np.argmax(value)] else: class_name = "y%s%s%s" % (characters[1], np.argmax(value), characters[2]) node_string += class_name # Clean up any trailing newlines if node_string[-2:] == '\\n': node_string = node_string[:-2] if node_string[-5:] == '
': node_string = node_string[:-5] return node_string + characters[5] def recurse(tree, node_id, criterion, parent=None, depth=0): if node_id == _tree.TREE_LEAF: raise ValueError("Invalid node_id %s" % _tree.TREE_LEAF) left_child = tree.children_left[node_id] right_child = tree.children_right[node_id] # Add node with description if max_depth is None or depth <= max_depth: # Collect ranks for 'leaf' option in plot_options if left_child == _tree.TREE_LEAF: ranks['leaves'].append(str(node_id)) elif str(depth) not in ranks: ranks[str(depth)] = [str(node_id)] else: ranks[str(depth)].append(str(node_id)) out_file.write('%d [label=%s' % (node_id, node_to_str(tree, node_id, criterion))) if filled: # Fetch appropriate color for node if 'rgb' not in colors: # Initialize colors and bounds if required colors['rgb'] = _color_brew(tree.n_classes[0]) if tree.n_outputs != 1: # Find max and min impurities for multi-output colors['bounds'] = (np.min(-tree.impurity), np.max(-tree.impurity)) elif tree.n_classes[0] == 1 and len(np.unique(tree.value)) != 1: # Find max and min values in leaf nodes for regression colors['bounds'] = (np.min(tree.value), np.max(tree.value)) if tree.n_outputs == 1: node_val = (tree.value[node_id][0, :] / tree.weighted_n_node_samples[node_id]) if tree.n_classes[0] == 1: # Regression node_val = tree.value[node_id][0, :] else: # If multi-output color node by impurity node_val = -tree.impurity[node_id] out_file.write(', fillcolor="%s"' % get_color(node_val)) out_file.write('] ;\n') if parent is not None: # Add edge to parent out_file.write('%d -> %d' % (parent, node_id)) if parent == 0: # Draw True/False labels if parent is root node angles = np.array([45, -45]) * ((rotate - .5) * -2) out_file.write(' [labeldistance=2.5, labelangle=') if node_id == 1: out_file.write('%d, headlabel="True"]' % angles[0]) else: out_file.write('%d, headlabel="False"]' % angles[1]) out_file.write(' ;\n') if left_child != _tree.TREE_LEAF: recurse(tree, left_child, criterion=criterion, parent=node_id, depth=depth + 1) recurse(tree, right_child, criterion=criterion, parent=node_id, depth=depth + 1) else: ranks['leaves'].append(str(node_id)) out_file.write('%d [label="(...)"' % node_id) if filled: # color cropped nodes grey out_file.write(', fillcolor="#C0C0C0"') out_file.write('] ;\n' % node_id) if parent is not None: # Add edge to parent out_file.write('%d -> %d ;\n' % (parent, node_id)) own_file = False return_string = False try: if out_file == SENTINEL: warnings.warn("out_file can be set to None starting from 0.18. " "This will be the default in 0.20.", DeprecationWarning) out_file = "tree.dot" if isinstance(out_file, six.string_types): if six.PY3: out_file = open(out_file, "w", encoding="utf-8") else: out_file = open(out_file, "wb") own_file = True if out_file is None: return_string = True out_file = six.StringIO() # The depth of each node for plotting with 'leaf' option ranks = {'leaves': []} # The colors to render each node with colors = {'bounds': None} out_file.write('digraph Tree {\n') # Specify node aesthetics out_file.write('node [shape=box') rounded_filled = [] if filled: rounded_filled.append('filled') if rounded: rounded_filled.append('rounded') if len(rounded_filled) > 0: out_file.write(', style="%s", color="black"' % ", ".join(rounded_filled)) if rounded: out_file.write(', fontname=helvetica') out_file.write('] ;\n') # Specify graph & edge aesthetics if leaves_parallel: out_file.write('graph [ranksep=equally, splines=polyline] ;\n') if rounded: out_file.write('edge [fontname=helvetica] ;\n') if rotate: out_file.write('rankdir=LR ;\n') # Now recurse the tree and add node & edge attributes if isinstance(decision_tree, _tree.Tree): recurse(decision_tree, 0, criterion="impurity") else: recurse(decision_tree.tree_, 0, criterion=decision_tree.criterion) # If required, draw leaf nodes at same depth as each other if leaves_parallel: for rank in sorted(ranks): out_file.write("{rank=same ; " + "; ".join(r for r in ranks[rank]) + "} ;\n") out_file.write("}") if return_string: return out_file.getvalue() finally: if own_file: out_file.close()