我需要在Matplotlib中叠加两个具有不同Y轴刻度的数据集。 数据包含正负值。 我希望两个轴共享一个原点，但Matplotlib默认情况下不会对齐这两个比例尺。
import numpy as np
import matplotlib.pyplot as plt
fig = plt.figure()
ax1 = fig.add_subplot(111)
ax2 = ax1.twinx()
ax1.bar(range(6), (2, -2, 1, 0, 0, 0))
ax2.plot(range(6), (0, 2, 8, -2, 0, 0))
plt.show()
我想可以使用.get_ylim()和.set_ylim()这两个函数来计算对齐两个刻度尺的值。是否有更简单的解决方案？
使用 align_yaxis() 函数：
import numpy as np
import matplotlib.pyplot as plt
def align_yaxis(ax1, v1, ax2, v2):
"""adjust ax2 ylimit so that v2 in ax2 is aligned to v1 in ax1"""
_, y1 = ax1.transData.transform((0, v1))
_, y2 = ax2.transData.transform((0, v2))
inv = ax2.transData.inverted()
_, dy = inv.transform((0, 0)) - inv.transform((0, y1-y2))
miny, maxy = ax2.get_ylim()
ax2.set_ylim(miny+dy, maxy+dy)
fig = plt.figure()
ax1 = fig.add_subplot(111)
ax2 = ax1.twinx()
ax1.bar(range(6), (2, -2, 1, 0, 0, 0))
ax2.plot(range(6), (0, 2, 8, -2, 0, 0))
align_yaxis(ax1, 0, ax2, 0)
plt.show()
为了确保y轴范围不变（以避免数据点偏移图表之外），并平衡调整两个y轴，我对@HYRY的答案进行了一些补充：
def align_yaxis(ax1, v1, ax2, v2):
"""adjust ax2 ylimit so that v2 in ax2 is aligned to v1 in ax1"""
_, y1 = ax1.transData.transform((0, v1))
_, y2 = ax2.transData.transform((0, v2))
adjust_yaxis(ax2,(y1-y2)/2,v2)
adjust_yaxis(ax1,(y2-y1)/2,v1)
def adjust_yaxis(ax,ydif,v):
"""shift axis ax by ydiff, maintaining point v at the same location"""
inv = ax.transData.inverted()
_, dy = inv.transform((0, 0)) - inv.transform((0, ydif))
miny, maxy = ax.get_ylim()
miny, maxy = miny - v, maxy - v
if -miny>maxy or (-miny==maxy and dy > 0):
nminy = miny
nmaxy = miny*(maxy+dy)/(miny+dy)
else:
nmaxy = maxy
nminy = maxy*(miny+dy)/(maxy+dy)
ax.set_ylim(nminy+v, nmaxy+v)
if语句本质上是确定miny或maxy的绝对值哪个更大（当它为负数时，abs(miny)才更大）。换句话说，哪个距离0点更远（实际上是距离某个值v点更远，因为你可以在某个值v处对齐）。 - drevicko当绘制以下两个点序列时，@drevicko的答案对我无效：
l1 = [0.03, -0.6, 1, 0.05]
l2 = [0.8, 0.9, 1, 1.1]
fig, ax1 = plt.subplots()
ax1.plot(l1)
ax2 = ax1.twinx()
ax2.plot(l2, color='r')
align_yaxis(ax1, 0, ax2, 0)
...这是我的版本：
def align_yaxis(ax1, ax2):
"""Align zeros of the two axes, zooming them out by same ratio"""
axes = (ax1, ax2)
extrema = [ax.get_ylim() for ax in axes]
tops = [extr[1] / (extr[1] - extr[0]) for extr in extrema]
# Ensure that plots (intervals) are ordered bottom to top:
if tops[0] > tops[1]:
axes, extrema, tops = [list(reversed(l)) for l in (axes, extrema, tops)]
# How much would the plot overflow if we kept current zoom levels?
tot_span = tops[1] + 1 - tops[0]
b_new_t = extrema[0][0] + tot_span * (extrema[0][1] - extrema[0][0])
t_new_b = extrema[1][1] - tot_span * (extrema[1][1] - extrema[1][0])
axes[0].set_ylim(extrema[0][0], b_new_t)
axes[1].set_ylim(t_new_b, extrema[1][1])
原则上，有无限不同的可能性来对齐零点（或其他值，其他提供的解决方案也可以接受）：无论您在 y 轴上放置零点的位置在哪里，您都可以缩放两个系列中的每一个，使其适合。我们只是选择这样一个位置，使得在变换后，两者覆盖了相同高度的垂直区间。 换句话说，我们将它们与非对齐图形相比最小化相同因子的大小。 （这并不意味着0位于图形的一半：例如，如果一个图形全为负数而另一个图形全为正数，则会发生这种情况。）
Numpy 版本：
def align_yaxis_np(ax1, ax2):
"""Align zeros of the two axes, zooming them out by same ratio"""
axes = np.array([ax1, ax2])
extrema = np.array([ax.get_ylim() for ax in axes])
tops = extrema[:,1] / (extrema[:,1] - extrema[:,0])
# Ensure that plots (intervals) are ordered bottom to top:
if tops[0] > tops[1]:
axes, extrema, tops = [a[::-1] for a in (axes, extrema, tops)]
# How much would the plot overflow if we kept current zoom levels?
tot_span = tops[1] + 1 - tops[0]
extrema[0,1] = extrema[0,0] + tot_span * (extrema[0,1] - extrema[0,0])
extrema[1,0] = extrema[1,1] + tot_span * (extrema[1,0] - extrema[1,1])
[axes[i].set_ylim(*extrema[i]) for i in range(2)]
def align_yaxis(ax1, ax2):
y_lims = numpy.array([ax.get_ylim() for ax in [ax1, ax2]])
# force 0 to appear on both axes, comment if don't need
y_lims[:, 0] = y_lims[:, 0].clip(None, 0)
y_lims[:, 1] = y_lims[:, 1].clip(0, None)
# normalize both axes
y_mags = (y_lims[:,1] - y_lims[:,0]).reshape(len(y_lims),1)
y_lims_normalized = y_lims / y_mags
# find combined range
y_new_lims_normalized = numpy.array([numpy.min(y_lims_normalized), numpy.max(y_lims_normalized)])
# denormalize combined range to get new axes
new_lim1, new_lim2 = y_new_lims_normalized * y_mags
ax1.set_ylim(new_lim1)
ax2.set_ylim(new_lim2)
我从上面的内容开始，想出了一个解决方案，可以对齐任意数量的轴：
def align_yaxis_np(axes):
"""Align zeros of the two axes, zooming them out by same ratio"""
axes = np.array(axes)
extrema = np.array([ax.get_ylim() for ax in axes])
# reset for divide by zero issues
for i in range(len(extrema)):
if np.isclose(extrema[i, 0], 0.0):
extrema[i, 0] = -1
if np.isclose(extrema[i, 1], 0.0):
extrema[i, 1] = 1
# upper and lower limits
lowers = extrema[:, 0]
uppers = extrema[:, 1]
# if all pos or all neg, don't scale
all_positive = False
all_negative = False
if lowers.min() > 0.0:
all_positive = True
if uppers.max() < 0.0:
all_negative = True
if all_negative or all_positive:
# don't scale
return
# pick "most centered" axis
res = abs(uppers+lowers)
min_index = np.argmin(res)
# scale positive or negative part
multiplier1 = abs(uppers[min_index]/lowers[min_index])
multiplier2 = abs(lowers[min_index]/uppers[min_index])
for i in range(len(extrema)):
# scale positive or negative part based on which induces valid
if i != min_index:
lower_change = extrema[i, 1] * -1*multiplier2
upper_change = extrema[i, 0] * -1*multiplier1
if upper_change < extrema[i, 1]:
extrema[i, 0] = lower_change
else:
extrema[i, 1] = upper_change
# bump by 10% for a margin
extrema[i, 0] *= 1.1
extrema[i, 1] *= 1.1
# set axes limits
[axes[i].set_ylim(*extrema[i]) for i in range(len(extrema))]
以下是4个随机序列的示例（您可以看到离散范围在四个独立的y轴标签集上）：
我需要将两个子图对齐，但不是在它们的零点上。其他解决方案对我来说并不完全适用。
我的程序主代码如下。子图没有对齐。此外，我只改变align_yaxis函数，保持所有其他代码不变。
import matplotlib.pyplot as plt
def align_yaxis(ax1, v1, ax2, v2):
return 0
x = range(10)
y1 = [3.2, 1.3, -0.3, 0.4, 2.3, -0.9, 0.2, 0.1, 1.3, -3.4]
y2, s = [], 100
for i in y1:
s *= 1 + i/100
y2.append(s)
fig = plt.figure()
ax1 = fig.add_subplot()
ax2 = ax1.twinx()
ax1.axhline(y=0, color='k', linestyle='-', linewidth=0.5)
ax1.bar(x, y1, color='tab:blue')
ax2.plot(x, y2, color='tab:red')
fig.tight_layout()
align_yaxis(ax1, 0, ax2, 100)
plt.show()
使用@HYRY的解决方案，我得到了对齐的子图，但第二个子图超出了图形。你看不到它。
def align_yaxis(ax1, v1, ax2, v2):
"""adjust ax2 ylimit so that v2 in ax2 is aligned to v1 in ax1"""
_, y1 = ax1.transData.transform((0, v1))
_, y2 = ax2.transData.transform((0, v2))
inv = ax2.transData.inverted()
_, dy = inv.transform((0, 0)) - inv.transform((0, y1-y2))
miny, maxy = ax2.get_ylim()
ax2.set_ylim(miny+dy, maxy+dy)
使用@drevicko的解决方案，我也得到了对齐的图表。但是现在第一个子图已经不在图片中了，第一个Y轴也很奇怪。
def align_yaxis(ax1, v1, ax2, v2):
"""adjust ax2 ylimit so that v2 in ax2 is aligned to v1 in ax1"""
_, y1 = ax1.transData.transform((0, v1))
_, y2 = ax2.transData.transform((0, v2))
adjust_yaxis(ax2,(y1-y2)/2,v2)
adjust_yaxis(ax1,(y2-y1)/2,v1)
def adjust_yaxis(ax,ydif,v):
"""shift axis ax by ydiff, maintaining point v at the same location"""
inv = ax.transData.inverted()
_, dy = inv.transform((0, 0)) - inv.transform((0, ydif))
miny, maxy = ax.get_ylim()
miny, maxy = miny - v, maxy - v
if -miny>maxy or (-miny==maxy and dy > 0):
nminy = miny
nmaxy = miny*(maxy+dy)/(miny+dy)
else:
nmaxy = maxy
nminy = maxy*(miny+dy)/(maxy+dy)
ax.set_ylim(nminy+v, nmaxy+v)
所以我稍微调整了@drevicko的解决方案，得到了我想要的结果。
def align_yaxis(ax1, v1, ax2, v2):
"""adjust ax2 ylimit so that v2 in ax2 is aligned to v1 in ax1"""
_, y1 = ax1.transData.transform((0, v1))
_, y2 = ax2.transData.transform((0, v2))
adjust_yaxis(ax1,(y2 - y1)/2,v1)
adjust_yaxis(ax2,(y1 - y2)/2,v2)
def adjust_yaxis(ax,ydif,v):
"""shift axis ax by ydiff, maintaining point v at the same location"""
inv = ax.transData.inverted()
_, dy = inv.transform((0, 0)) - inv.transform((0, ydif))
miny, maxy = ax.get_ylim()
nminy = miny - v + dy - abs(dy)
nmaxy = maxy - v + dy + abs(dy)
ax.set_ylim(nminy+v, nmaxy+v)
Tim的解决方案已经适用于多个轴：
import numpy as np
def align_yaxis(axes):
y_lims = np.array([ax.get_ylim() for ax in axes])
# force 0 to appear on all axes, comment if don't need
y_lims[:, 0] = y_lims[:, 0].clip(None, 0)
y_lims[:, 1] = y_lims[:, 1].clip(0, None)
# normalize all axes
y_mags = (y_lims[:,1] - y_lims[:,0]).reshape(len(y_lims),1)
y_lims_normalized = y_lims / y_mags
# find combined range
y_new_lims_normalized = np.array([np.min(y_lims_normalized), np.max(y_lims_normalized)])
# denormalize combined range to get new axes
new_lims = y_new_lims_normalized * y_mags
for i, ax in enumerate(axes):
ax.set_ylim(new_lims[i])
这可能不是您正在寻找的，但这对我有所帮助，使得两个不同垂直轴上的整数对齐：
ax1.set_ylim(0,4000)
ax2.set_ylim(0,120)
ax2.set_yticks(np.linspace(ax2.get_yticks()[0], ax2.get_yticks()[-1], len(ax1.get_yticks())))