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authorPicca Frédéric-Emmanuel <picca@synchrotron-soleil.fr>2017-08-18 14:48:52 +0200
committerPicca Frédéric-Emmanuel <picca@synchrotron-soleil.fr>2017-08-18 14:48:52 +0200
commitf7bdc2acff3c13a6d632c28c4569690ab106eed7 (patch)
tree9d67cdb7152ee4e711379e03fe0546c7c3b97303 /silx/gui/plot/_utils/ticklayout.py
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+# coding: utf-8
+# /*##########################################################################
+#
+# Copyright (c) 2014-2017 European Synchrotron Radiation Facility
+#
+# Permission is hereby granted, free of charge, to any person obtaining a copy
+# of this software and associated documentation files (the "Software"), to deal
+# in the Software without restriction, including without limitation the rights
+# to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+# copies of the Software, and to permit persons to whom the Software is
+# furnished to do so, subject to the following conditions:
+#
+# The above copyright notice and this permission notice shall be included in
+# all copies or substantial portions of the Software.
+#
+# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+# IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+# FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+# AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+# LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+# OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+# THE SOFTWARE.
+#
+# ###########################################################################*/
+"""This module implements labels layout on graph axes."""
+
+from __future__ import absolute_import, division, unicode_literals
+
+__authors__ = ["T. Vincent"]
+__license__ = "MIT"
+__date__ = "18/10/2016"
+
+
+import math
+
+
+# utils #######################################################################
+
+def numberOfDigits(tickSpacing):
+ """Returns the number of digits to display for text label.
+
+ :param float tickSpacing: Step between ticks in data space.
+ :return: Number of digits to show for labels.
+ :rtype: int
+ """
+ nfrac = int(-math.floor(math.log10(tickSpacing)))
+ if nfrac < 0:
+ nfrac = 0
+ return nfrac
+
+
+# Nice Numbers ################################################################
+
+def _niceNum(value, isRound=False):
+ expvalue = math.floor(math.log10(value))
+ frac = value/pow(10., expvalue)
+ if isRound:
+ if frac < 1.5:
+ nicefrac = 1.
+ elif frac < 3.:
+ nicefrac = 2.
+ elif frac < 7.:
+ nicefrac = 5.
+ else:
+ nicefrac = 10.
+ else:
+ if frac <= 1.:
+ nicefrac = 1.
+ elif frac <= 2.:
+ nicefrac = 2.
+ elif frac <= 5.:
+ nicefrac = 5.
+ else:
+ nicefrac = 10.
+ return nicefrac * pow(10., expvalue)
+
+
+def niceNumbers(vMin, vMax, nTicks=5):
+ """Returns tick positions.
+
+ This function implements graph labels layout using nice numbers
+ by Paul Heckbert from "Graphics Gems", Academic Press, 1990.
+ See `C code <http://tog.acm.org/resources/GraphicsGems/gems/Label.c>`_.
+
+ :param float vMin: The min value on the axis
+ :param float vMax: The max value on the axis
+ :param int nTicks: The number of ticks to position
+ :returns: min, max, increment value of tick positions and
+ number of fractional digit to show
+ :rtype: tuple
+ """
+ vrange = _niceNum(vMax - vMin, False)
+ spacing = _niceNum(vrange / nTicks, True)
+ graphmin = math.floor(vMin / spacing) * spacing
+ graphmax = math.ceil(vMax / spacing) * spacing
+ nfrac = numberOfDigits(spacing)
+ return graphmin, graphmax, spacing, nfrac
+
+
+def _frange(start, stop, step):
+ """range for float (including stop)."""
+ assert step >= 0.
+ while start <= stop:
+ yield start
+ start += step
+
+
+def ticks(vMin, vMax, nbTicks=5):
+ """Returns tick positions and labels using nice numbers algorithm.
+
+ This enforces ticks to be within [vMin, vMax] range.
+ It returns at least 2 ticks.
+
+ :param float vMin: The min value on the axis
+ :param float vMax: The max value on the axis
+ :param int nbTicks: The number of ticks to position
+ :returns: tick positions and corresponding text labels
+ :rtype: 2-tuple: list of float, list of string
+ """
+ start, end, step, nfrac = niceNumbers(vMin, vMax, nbTicks)
+ positions = [t for t in _frange(start, end, step) if vMin <= t <= vMax]
+
+ # Makes sure there is at least 2 ticks
+ if len(positions) < 2:
+ positions = [vMin, vMax]
+ nfrac = numberOfDigits(vMax - vMin)
+
+ # Generate labels
+ format_ = '%g' if nfrac == 0 else '%.{}f'.format(nfrac)
+ labels = [format_ % tick for tick in positions]
+ return positions, labels
+
+
+def niceNumbersAdaptative(vMin, vMax, axisLength, tickDensity):
+ """Returns tick positions using :func:`niceNumbers` and a
+ density of ticks.
+
+ axisLength and tickDensity are based on the same unit (e.g., pixel).
+
+ :param float vMin: The min value on the axis
+ :param float vMax: The max value on the axis
+ :param float axisLength: The length of the axis.
+ :param float tickDensity: The density of ticks along the axis.
+ :returns: min, max, increment value of tick positions and
+ number of fractional digit to show
+ :rtype: tuple
+ """
+ # At least 2 ticks
+ nticks = max(2, int(round(tickDensity * axisLength)))
+ tickmin, tickmax, step, nfrac = niceNumbers(vMin, vMax, nticks)
+
+ return tickmin, tickmax, step, nfrac
+
+
+# Nice Numbers for log scale ##################################################
+
+def niceNumbersForLog10(minLog, maxLog, nTicks=5):
+ """Return tick positions for logarithmic scale
+
+ :param float minLog: log10 of the min value on the axis
+ :param float maxLog: log10 of the max value on the axis
+ :param int nTicks: The number of ticks to position
+ :returns: log10 of min, max, increment value of tick positions and
+ number of fractional digit to show
+ :rtype: tuple of int
+ """
+ graphminlog = math.floor(minLog)
+ graphmaxlog = math.ceil(maxLog)
+ rangelog = graphmaxlog - graphminlog
+
+ if rangelog <= nTicks:
+ spacing = 1.
+ else:
+ spacing = math.floor(rangelog / nTicks)
+
+ graphminlog = math.floor(graphminlog / spacing) * spacing
+ graphmaxlog = math.ceil(graphmaxlog / spacing) * spacing
+
+ nfrac = numberOfDigits(spacing)
+
+ return int(graphminlog), int(graphmaxlog), int(spacing), nfrac
+
+
+def niceNumbersAdaptativeForLog10(vMin, vMax, axisLength, tickDensity):
+ """Returns tick positions using :func:`niceNumbers` and a
+ density of ticks.
+
+ axisLength and tickDensity are based on the same unit (e.g., pixel).
+
+ :param float vMin: The min value on the axis
+ :param float vMax: The max value on the axis
+ :param float axisLength: The length of the axis.
+ :param float tickDensity: The density of ticks along the axis.
+ :returns: log10 of min, max, increment value of tick positions and
+ number of fractional digit to show
+ :rtype: tuple
+ """
+ # At least 2 ticks
+ nticks = max(2, int(round(tickDensity * axisLength)))
+ tickmin, tickmax, step, nfrac = niceNumbersForLog10(vMin, vMax, nticks)
+
+ return tickmin, tickmax, step, nfrac
+
+
+def computeLogSubTicks(ticks, lowBound, highBound):
+ """Return the sub ticks for the log scale for all given ticks if subtick
+ is in [lowBound, highBound]
+
+ :param ticks: log10 of the ticks
+ :param lowBound: the lower boundary of ticks
+ :param highBound: the higher boundary of ticks
+ :return: all the sub ticks contained in ticks (log10)
+ """
+ if len(ticks) < 1:
+ return []
+
+ res = []
+ for logPos in ticks:
+ dataOrigPos = logPos
+ for index in range(2, 10):
+ dataPos = dataOrigPos * index
+ if lowBound <= dataPos <= highBound:
+ res.append(dataPos)
+ return res