diff --git a/lib/matplotlib/_mathtext.py b/lib/matplotlib/_mathtext.py
index 3c4be2144533..ba5ef2aa8dcd 100644
--- a/lib/matplotlib/_mathtext.py
+++ b/lib/matplotlib/_mathtext.py
@@ -249,16 +249,11 @@ def _get_info(self, fontname, font_class, sym, fontsize, dpi):
)
def get_xheight(self, fontname, fontsize, dpi):
- font = self._get_font(fontname)
- font.set_size(fontsize, dpi)
- pclt = font.get_sfnt_table('pclt')
- if pclt is None:
- # Some fonts don't store the xHeight, so we do a poor man's xHeight
- metrics = self.get_metrics(
- fontname, mpl.rcParams['mathtext.default'], 'x', fontsize, dpi)
- return metrics.iceberg
- xHeight = (pclt['xHeight'] / 64.0) * (fontsize / 12.0) * (dpi / 100.0)
- return xHeight
+ # Some fonts report the wrong x-height, while some don't store it, so
+ # we do a poor man's x-height.
+ metrics = self.get_metrics(
+ fontname, mpl.rcParams['mathtext.default'], 'x', fontsize, dpi)
+ return metrics.iceberg
def get_underline_thickness(self, font, fontsize, dpi):
# This function used to grab underline thickness from the font
@@ -759,16 +754,44 @@ class FontConstantsBase:
# integrals
delta_integral = 0.1
+ # Percentage of x-height the numerator is shifted up in display style.
+ num1 = 1.4
+
+ # Percentage of x-height the numerator is shifted up in text, script and
+ # scriptscript styles if there is a fraction line.
+ num2 = 1.5
+
+ # Percentage of x-height the numerator is shifted up in text, script and
+ # scriptscript styles if there is no fraction line.
+ num3 = 1.3
+
+ # Percentage of x-height the denominator is shifted down in display style.
+ denom1 = 1.3
+
+ # Percentage of x-height the denominator is shifted down in text, script
+ # and scriptscript styles.
+ denom2 = 1.1
+
class ComputerModernFontConstants(FontConstantsBase):
- script_space = 0.075
- subdrop = 0.2
- sup1 = 0.45
- sub1 = 0.2
- sub2 = 0.3
- delta = 0.075
+ # Previously, the x-height of Computer Modern was obtained from the font
+ # table. However, that x-height was greater than the the actual (rendered)
+ # x-height by a factor of 1.771484375 (at font size 12, DPI 100 and hinting
+ # type 32). Now that we're using the rendered x-height, some font constants
+ # have been increased by the same factor to compensate.
+ script_space = 0.132861328125
+ subdrop = 0.354296875
+ sup1 = 0.79716796875
+ sub1 = 0.354296875
+ sub2 = 0.5314453125
+ delta = 0.132861328125
delta_slanted = 0.3
delta_integral = 0.3
+ num1 = 1.5
+ num2 = 1.5
+ num3 = 1.5
+ denom1 = 1.6
+ denom2 = 1.2
class STIXFontConstants(FontConstantsBase):
@@ -778,6 +801,10 @@ class STIXFontConstants(FontConstantsBase):
delta = 0.05
delta_slanted = 0.3
delta_integral = 0.3
+ num1 = 1.6
+ num2 = 1.6
+ num3 = 1.6
+ denom1 = 1.6
class STIXSansFontConstants(FontConstantsBase):
@@ -785,10 +812,16 @@ class STIXSansFontConstants(FontConstantsBase):
sup1 = 0.8
delta_slanted = 0.6
delta_integral = 0.3
+ num1 = 1.5
+ num3 = 1.5
+ denom1 = 1.5
class DejaVuSerifFontConstants(FontConstantsBase):
- pass
+ num1 = 1.5
+ num2 = 1.6
+ num3 = 1.4
+ denom1 = 1.4
class DejaVuSansFontConstants(FontConstantsBase):
@@ -1832,6 +1865,7 @@ def set_names_and_parse_actions():
| p.underset
| p.sqrt
| p.overline
+ | p.auto_delim
)
p.simple <<= (
@@ -2156,6 +2190,19 @@ def is_slanted(self, nucleus):
def is_between_brackets(self, s, loc):
return False
+ def is_char_node(self, node):
+ # TeX defines a `char_node` as one which represents a single character,
+ # but also states that a `char_node` will never appear in a `Vlist`
+ # (node134). Further, nuclei made of one `Char` and nuclei made of
+ # multiple `Char`s have their superscripts and subscripts shifted by
+ # the same amount. In order to make Mathtext behave similarly, just
+ # check whether this node is a `Vlist` or has any `Vlist` descendants.
+ if isinstance(node, Vlist):
+ return False
+ if not isinstance(node, Hlist):
+ return True
+ return all(map(self.is_char_node, node.children))
+
def subsuper(self, s, loc, toks):
nucleus = toks.get("nucleus", Hbox(0))
subsuper = toks.get("subsuper", [])
@@ -2269,36 +2316,56 @@ def subsuper(self, s, loc, toks):
else:
subkern = 0
+ # Set the minimum shifts for the superscript and subscript (node756).
+ if self.is_char_node(nucleus):
+ shift_up = 0
+ shift_down = 0
+ else:
+ drop_amount = constants.subdrop * xHeight * SHRINK_FACTOR
+ shift_up = nucleus.height - drop_amount
+ shift_down = nucleus.depth + drop_amount
+
if super is None:
- # node757
+ # Align subscript without superscript (node757).
x = Hlist([Kern(subkern), sub])
x.shrink()
if self.is_dropsub(last_char):
shift_down = lc_baseline + constants.subdrop * xHeight
else:
- shift_down = constants.sub1 * xHeight
+ shift_down = max(shift_down,
+ constants.sub1 * xHeight,
+ x.height - xHeight * 4 / 5)
x.shift_amount = shift_down
else:
+ # Align superscript (node758).
x = Hlist([Kern(superkern), super])
x.shrink()
if self.is_dropsub(last_char):
shift_up = lc_height - constants.subdrop * xHeight
else:
- shift_up = constants.sup1 * xHeight
+ shift_up = max(shift_up,
+ constants.sup1 * xHeight,
+ x.depth + xHeight / 4)
if sub is None:
x.shift_amount = -shift_up
- else: # Both sub and superscript
+ else:
+ # Align subscript with superscript (node759).
y = Hlist([Kern(subkern), sub])
y.shrink()
if self.is_dropsub(last_char):
shift_down = lc_baseline + constants.subdrop * xHeight
else:
- shift_down = constants.sub2 * xHeight
- # If sub and superscript collide, move super up
- clr = (2.0 * rule_thickness -
+ shift_down = max(shift_down, constants.sub2 * xHeight)
+ # If the subscript and superscript are too close to each other,
+ # move the subscript down.
+ clr = (4 * rule_thickness -
((shift_up - x.depth) - (y.height - shift_down)))
if clr > 0.:
- shift_up += clr
+ shift_down += clr
+ clr = xHeight * 4 / 5 - shift_up + x.depth
+ if clr > 0:
+ shift_up += clr
+ shift_down -= clr
x = Vlist([
x,
Kern((shift_up - x.depth) - (y.height - shift_down)),
@@ -2322,7 +2389,19 @@ def _genfrac(self, ldelim, rdelim, rule, style, num, den):
state = self.get_state()
thickness = state.get_current_underline_thickness()
+ # The fraction line (if present) must be aligned with the minus sign.
+ # Therefore, the height of the latter from the baseline is the axis
+ # height.
+ metrics = state.font_output.get_metrics(
+ state.font, mpl.rcParams['mathtext.default'],
+ '\u2212', state.fontsize, state.dpi)
+ axis_height = (metrics.ymax + metrics.ymin) / 2
+ constants = _get_font_constant_set(state)
+ xHeight = state.font_output.get_xheight(
+ state.font, state.fontsize, state.dpi)
+
for _ in range(style.value):
+ xHeight *= SHRINK_FACTOR
num.shrink()
den.shrink()
cnum = HCentered([num])
@@ -2330,24 +2409,53 @@ def _genfrac(self, ldelim, rdelim, rule, style, num, den):
width = max(num.width, den.width)
cnum.hpack(width, 'exactly')
cden.hpack(width, 'exactly')
- vlist = Vlist([cnum, # numerator
- Vbox(0, thickness * 2.0), # space
- Hrule(state, rule), # rule
- Vbox(0, thickness * 2.0), # space
- cden # denominator
- ])
-
- # Shift so the fraction line sits in the middle of the
- # equals sign
- metrics = state.font_output.get_metrics(
- state.font, mpl.rcParams['mathtext.default'],
- '=', state.fontsize, state.dpi)
- shift = (cden.height -
- ((metrics.ymax + metrics.ymin) / 2 -
- thickness * 3.0))
- vlist.shift_amount = shift
- result = [Hlist([vlist, Hbox(thickness * 2.)])]
+ # Align the fraction with a fraction line (node743, node744 and
+ # node746).
+ if rule:
+ if style is self._MathStyle.DISPLAYSTYLE:
+ num_shift_up = constants.num1 * xHeight
+ den_shift_down = constants.denom1 * xHeight
+ min_clr = 3 * rule
+ else:
+ num_shift_up = constants.num2 * xHeight
+ den_shift_down = constants.denom2 * xHeight
+ min_clr = rule
+ num_clr = max(
+ num_shift_up - cnum.depth - axis_height - rule / 2, min_clr)
+ den_clr = max(
+ axis_height - rule / 2 + den_shift_down - cden.height, min_clr)
+ # Possible bug in fraction rendering. See GitHub PR 22852 comments.
+ vlist = Vlist([cnum, # numerator
+ Vbox(0, num_clr - rule), # space
+ Hrule(state, rule), # rule
+ Vbox(0, den_clr + rule), # space
+ cden # denominator
+ ])
+ vlist.shift_amount = cden.height + den_clr + rule / 2 - axis_height
+
+ # Align the fraction without a fraction line (node743, node744 and
+ # node745).
+ else:
+ if style is self._MathStyle.DISPLAYSTYLE:
+ num_shift_up = constants.num1 * xHeight
+ den_shift_down = constants.denom1 * xHeight
+ min_clr = 7 * thickness
+ else:
+ num_shift_up = constants.num3 * xHeight
+ den_shift_down = constants.denom2 * xHeight
+ min_clr = 3 * thickness
+ def_clr = num_shift_up - cnum.depth + den_shift_down - cden.height
+ clr = max(def_clr, min_clr)
+ vlist = Vlist([cnum, # numerator
+ Vbox(0, clr), # space
+ cden # denominator
+ ])
+ vlist.shift_amount = den_shift_down
+ if def_clr < min_clr:
+ vlist.shift_amount += (min_clr - def_clr) / 2
+
+ result = [Hlist([Hbox(thickness), vlist, Hbox(thickness)])]
if ldelim or rdelim:
if ldelim == '':
ldelim = '.'
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_01.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_01.svg
new file mode 100644
index 000000000000..6a877b0e6d2b
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_01.svg
@@ -0,0 +1,20 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_02.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_02.svg
new file mode 100644
index 000000000000..24c0e17ec8d0
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_02.svg
@@ -0,0 +1,24 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_03.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_03.svg
new file mode 100644
index 000000000000..c0ad4759e964
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_03.svg
@@ -0,0 +1,19 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_04.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_04.svg
new file mode 100644
index 000000000000..f21e98719b71
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_04.svg
@@ -0,0 +1,19 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_05.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_05.svg
new file mode 100644
index 000000000000..449d2f383be4
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_05.svg
@@ -0,0 +1,20 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_06.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_06.svg
new file mode 100644
index 000000000000..ab3d03ded68c
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_06.svg
@@ -0,0 +1,20 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_07.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_07.svg
new file mode 100644
index 000000000000..c7d2e06c0b21
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_07.svg
@@ -0,0 +1,32 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_08.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_08.svg
new file mode 100644
index 000000000000..9de786f64359
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_08.svg
@@ -0,0 +1,26 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_09.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_09.svg
new file mode 100644
index 000000000000..66c6d75291ba
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_09.svg
@@ -0,0 +1,20 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_10.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_10.svg
new file mode 100644
index 000000000000..a4807eeb0c6f
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_10.svg
@@ -0,0 +1,24 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_11.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_11.svg
new file mode 100644
index 000000000000..573eda86dbed
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_11.svg
@@ -0,0 +1,19 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_12.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_12.svg
new file mode 100644
index 000000000000..8473b0e502b0
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_12.svg
@@ -0,0 +1,20 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_13.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_13.svg
new file mode 100644
index 000000000000..38ae5e68893b
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_13.svg
@@ -0,0 +1,20 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_14.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_14.svg
new file mode 100644
index 000000000000..5f64589fb00b
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_14.svg
@@ -0,0 +1,24 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_15.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_15.svg
new file mode 100644
index 000000000000..fda6f1a378a2
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_15.svg
@@ -0,0 +1,20 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_16.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_16.svg
new file mode 100644
index 000000000000..4f9c1e26b918
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_16.svg
@@ -0,0 +1,21 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_17.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_17.svg
new file mode 100644
index 000000000000..ab1b518f52d5
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_17.svg
@@ -0,0 +1,23 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_18.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_18.svg
new file mode 100644
index 000000000000..4fbdafd187de
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_18.svg
@@ -0,0 +1,21 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_19.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_19.svg
new file mode 100644
index 000000000000..3579fa46b092
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_19.svg
@@ -0,0 +1,30 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_20.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_20.svg
new file mode 100644
index 000000000000..a14412778fea
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_20.svg
@@ -0,0 +1,23 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_21.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_21.svg
new file mode 100644
index 000000000000..516abeeb3bc6
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_21.svg
@@ -0,0 +1,19 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_22.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_22.svg
new file mode 100644
index 000000000000..5ae6807e718d
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_22.svg
@@ -0,0 +1,19 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_23.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_23.svg
new file mode 100644
index 000000000000..3a604adfa92f
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_23.svg
@@ -0,0 +1,21 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_24.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_24.svg
new file mode 100644
index 000000000000..1c4f1354824a
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_24.svg
@@ -0,0 +1,22 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_25.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_25.svg
new file mode 100644
index 000000000000..a72ccaa566c4
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_25.svg
@@ -0,0 +1,20 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_26.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_26.svg
new file mode 100644
index 000000000000..384e9847f596
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_26.svg
@@ -0,0 +1,32 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_27.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_27.svg
new file mode 100644
index 000000000000..b1500e68924e
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_27.svg
@@ -0,0 +1,24 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_28.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_28.svg
new file mode 100644
index 000000000000..d2197af07a9c
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_28.svg
@@ -0,0 +1,20 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_29.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_29.svg
new file mode 100644
index 000000000000..7eee4771a6d7
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_29.svg
@@ -0,0 +1,26 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_30.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_30.svg
new file mode 100644
index 000000000000..0e163169469c
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_30.svg
@@ -0,0 +1,20 @@
+
+
+
diff --git a/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_31.svg b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_31.svg
new file mode 100644
index 000000000000..2224bcd720db
--- /dev/null
+++ b/lib/matplotlib/tests/baseline_images/test_mathtext/mathtext0_cm_31.svg
@@ -0,0 +1,21 @@
+
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