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if not modules then modules = { } end modules ['math-dim'] = {
version = 1.001,
comment = "companion to math-ini.mkiv",
author = "Hans Hagen, PRAGMA-ADE, Hasselt NL",
copyright = "PRAGMA ADE / ConTeXt Development Team",
license = "see context related readme files"
}
-- Beware: only Taco and Ulrik really understands in depth what these dimensions
-- do so if you run into problems ask on the context list.
-- The radical_rule value is also used as a trigger. In luatex the accent
-- placement happens either the opentype way (using top_accent cum suis) or the
-- traditional way. In order to determine what method to use the \Umathradicalrule
-- setting is consulted to determine what method to use. This is more efficient
-- than analyzing the (potentially spread over multiple families) situation. For
-- this reason we need to set the radical_rule here. It used to be "<unset>" in
-- which case the engine takes the rulethickness. In c-speak:
--
-- int compat_mode = (radical_rule(cur_style) == undefined_math_parameter) ;
local abs, next = math.abs, next
local defaults = {
axis = { default = { "AxisHeight", "axis_height" }, },
accent_base_height = { default = { "AccentBaseHeight", "x_height" }, },
fraction_del_size = { default = { "FractionDelimiterSize", "delim2" },
cramped_display_style = { "FractionDelimiterDisplayStyleSize", "delim1" },
display_style = { "FractionDelimiterDisplayStyleSize", "delim1" }, },
fraction_denom_down = { default = { "FractionDenominatorShiftDown", "denom2" },
cramped_display_style = { "FractionDenominatorDisplayStyleShiftDown", "denom1" },
display_style = { "FractionDenominatorDisplayStyleShiftDown", "denom1" }, },
fraction_denom_vgap = { default = { "FractionDenominatorGapMin", "default_rule_thickness" },
cramped_display_style = { "FractionDenominatorDisplayStyleGapMin", "3*default_rule_thickness" },
display_style = { "FractionDenominatorDisplayStyleGapMin", "3*default_rule_thickness" }, },
fraction_num_up = { default = { "FractionNumeratorShiftUp", "num2" },
cramped_display_style = { "FractionNumeratorDisplayStyleShiftUp", "num1" },
display_style = { "FractionNumeratorDisplayStyleShiftUp", "num1" }, },
fraction_num_vgap = { default = { "FractionNumeratorGapMin", "default_rule_thickness" },
cramped_display_style = { "FractionNumeratorDisplayStyleGapMin", "3*default_rule_thickness" },
display_style = { "FractionNumeratorDisplayStyleGapMin", "3*default_rule_thickness" }, },
skewed_fraction_hgap = { default = { "SkewedFractionHorizontalGap", "math_quad/2" },
cramped_display_style = { "SkewedFractionHorizontalGap", "math_quad/2" },
display_style = { "SkewedFractionHorizontalGap", "math_quad/2" }, },
skewed_fraction_vgap = { default = { "SkewedFractionVerticalGap", "x_height" },
cramped_display_style = { "SkewedFractionVerticalGap", "x_height" },
display_style = { "SkewedFractionVerticalGap", "x_height" }, },
fraction_rule = { default = { "FractionRuleThickness", "default_rule_thickness" }, },
limit_above_bgap = { default = { "UpperLimitBaselineRiseMin", "big_op_spacing3" }, },
limit_above_vgap = { default = { "UpperLimitGapMin", "big_op_spacing1" }, },
limit_above_kern = { default = { "0", "big_op_spacing5" }, },
limit_below_bgap = { default = { "LowerLimitBaselineDropMin", "big_op_spacing4" }, },
limit_below_vgap = { default = { "LowerLimitGapMin", "big_op_spacing2" }, },
limit_below_kern = { default = { "0", "big_op_spacing5" }, },
math_operator_size = { default = { "DisplayOperatorMinHeight", "math_x_height*3" }, }, -- 2
overbar_kern = { default = { "OverbarExtraAscender", "default_rule_thickness" }, },
overbar_rule = { default = { "OverbarRuleThickness", "default_rule_thickness" }, },
overbar_vgap = { default = { "OverbarVerticalGap", "3*default_rule_thickness" }, },
quad = { default = { "font_size(f)", "math_quad" }, },
radical_kern = { default = { "RadicalExtraAscender", "default_rule_thickness" }, },
radical_rule = { default = { "RadicalRuleThickness", "default_rule_thickness" }, },
-- default = { "surd_height(f)", "default_rule_thickness" },
radical_vgap = { default = { "RadicalVerticalGap", "default_rule_thickness+(abs(default_rule_thickness)/4)" },
display_style = { "RadicalDisplayStyleVerticalGap", "default_rule_thickness+(abs(math_x_height)/4)" }, },
space_after_script = { default = { "SpaceAfterScript", "script_space" }, },
stack_denom_down = { default = { "StackBottomShiftDown", "denom2" },
cramped_display_style = { "StackBottomDisplayStyleShiftDown", "denom1" },
display_style = { "StackBottomDisplayStyleShiftDown", "denom1" }, },
stack_num_up = { default = { "StackTopShiftUp", "num3" },
cramped_display_style = { "StackTopDisplayStyleShiftUp", "num1" },
display_style = { "StackTopDisplayStyleShiftUp", "num1" }, },
stack_vgap = { default = { "StackGapMin", "3*default_rule_thickness" },
cramped_display_style = { "StackDisplayStyleGapMin", "7*default_rule_thickness" },
display_style = { "StackDisplayStyleGapMin", "7*default_rule_thickness" }, },
sub_shift_down = { default = { "SubscriptShiftDown", "sub1" }, },
sub_shift_drop = { default = { "SubscriptBaselineDropMin", "sub_drop" }, },
sub_sup_shift_down = { default = { "SubscriptShiftDown", "sub2" }, },
sub_top_max = { default = { "SubscriptTopMax", "abs(math_x_height*4)/5" }, },
subsup_vgap = { default = { "SubSuperscriptGapMin", "4*default_rule_thickness" }, },
sup_bottom_min = { default = { "SuperscriptBottomMin", "abs(math_x_height)/4" }, },
sup_shift_drop = { default = { "SuperscriptBaselineDropMax", "sup_drop" }, },
sup_shift_up = { cramped_display_style = { "SuperscriptShiftUpCramped", "sup3" },
cramped_script_script_style = { "SuperscriptShiftUpCramped", "sup3" },
cramped_script_style = { "SuperscriptShiftUpCramped", "sup3" },
cramped_text_style = { "SuperscriptShiftUpCramped", "sup3" },
display_style = { "SuperscriptShiftUp", "sup1" },
script_script_style = { "SuperscriptShiftUp", "sup2" },
script_style = { "SuperscriptShiftUp", "sup2" },
text_style = { "SuperscriptShiftUp", "sup2" }, },
sup_sub_bottom_max = { default = { "SuperscriptBottomMaxWithSubscript", "abs(math_x_height*4)/5" }, },
underbar_kern = { default = { "UnderbarExtraDescender", "0" }, },
underbar_rule = { default = { "UnderbarRuleThickness", "default_rule_thickness" }, },
underbar_vgap = { default = { "UnderbarVerticalGap", "3*default_rule_thickness" }, },
connector_overlap_min = { default = { "MinConnectorOverlap", "0.25*default_rule_thickness" }, },
over_delimiter_vgap = { default = { "StretchStackGapBelowMin", "big_op_spacing1" }, },
over_delimiter_bgap = { default = { "StretchStackTopShiftUp", "big_op_spacing3" }, },
under_delimiter_vgap = { default = { "StretchStackGapAboveMin", "big_op_spacing2" }, },
under_delimiter_bgap = { default = { "StretchStackBottomShiftDown", "big_op_spacing4" }, },
radical_degree_before = { default = { "RadicalKernBeforeDegree", "(5/18)*quad" }, },
radical_degree_after = { default = { "RadicalKernAfterDegree", "(-10/18)*quad" }, },
radical_degree_raise = { default = { "RadicalDegreeBottomRaisePercent", "60" }, },
no_limit_sub_factor = { default = { "NoLimitSubFactor", "0" }, },
no_limit_sup_factor = { default = { "NoLimitSupFactor", "0" }, },
}
local styles = {
'cramped_display_style',
'cramped_script_script_style',
'cramped_script_style',
'cramped_text_style',
'display_style',
'script_script_style',
'script_style',
'text_style',
}
for k, v in next, defaults do
for _, s in next, styles do
if not v[s] then
v[s] = v.default
end
end
end
-- we cannot use a metatable because we do a copy (takes a bit more work)
--
-- local mt = { } setmetatable(defaults,mt)
--
-- mt.__index = function(t,s)
-- return t.default or t.text_style or 0
-- end
function mathematics.dimensions(dimens) -- beware, dimens get spoiled
if dimens.SpaceAfterScript then
dimens.SubscriptShiftDownWithSuperscript = dimens.SubscriptShiftDown * 1.5 -- move this one
return table.fastcopy(dimens), { }
elseif dimens.AxisHeight or dimens.axis_height then
local t = { }
local math_x_height = dimens.x_height or 10*65536
local math_quad = dimens.quad or 10*65536
local default_rule_thickness = dimens.FractionDenominatorGapMin or dimens.default_rule_thickness or 0.4*65536
dimens["0"] = 0
dimens["60"] = 60
dimens["0.25*default_rule_thickness"] = default_rule_thickness / 4
dimens["3*default_rule_thickness"] = 3 * default_rule_thickness
dimens["4*default_rule_thickness"] = 4 * default_rule_thickness
dimens["7*default_rule_thickness"] = 7 * default_rule_thickness
dimens["(5/18)*quad"] = (math_quad * 5) / 18
dimens["(-10/18)*quad"] = - (math_quad * 10) / 18
dimens["math_x_height*3"] = math_x_height * 3 -- needs checking
dimens["abs(math_x_height*4)/5"] = abs(math_x_height * 4) / 5
dimens["default_rule_thickness+(abs(default_rule_thickness)/4)"] = default_rule_thickness+(abs(default_rule_thickness) / 4)
dimens["default_rule_thickness+(abs(math_x_height)/4)"] = default_rule_thickness+(abs(math_x_height) / 4)
dimens["abs(math_x_height)/4"] = abs(math_x_height) / 4
dimens["abs(math_x_height*4)/5"] = abs(math_x_height * 4) / 5
dimens["<not set>"] = false
dimens["script_space"] = false -- at macro level
for variable, styles in next, defaults do
local tt = { }
for style, default in next, styles do
local one, two = default[1], default[2]
local value = dimens[one]
if value then
tt[style] = value
else
value = dimens[two]
if value == false then
tt[style] = nil
else
tt[style] = value or 0
end
end
end
t[variable] = tt
end
local d = {
AccentBaseHeight = t . accent_base_height . text_style,
AxisHeight = t . axis . text_style,
-- DelimitedSubFormulaMinHeight
DisplayOperatorMinHeight = t . math_operator_size . text_style, -- no longer let tex decide (weird values)
-- FlattenedAccentBaseHeight
FractionDenominatorDisplayStyleGapMin = t . fraction_denom_vgap . display_style,
FractionDenominatorDisplayStyleShiftDown = t . fraction_denom_down . display_style,
FractionDenominatorGapMin = t . fraction_denom_vgap . text_style,
FractionDenominatorShiftDown = t . fraction_denom_down . text_style,
FractionNumeratorDisplayStyleGapMin = t . fraction_num_vgap . display_style,
FractionNumeratorDisplayStyleShiftUp = t . fraction_num_up . display_style,
FractionNumeratorGapMin = t . fraction_num_vgap . text_style,
FractionNumeratorShiftUp = t . fraction_num_up . text_style,
FractionRuleThickness = t . fraction_rule . text_style,
FractionDelimiterSize = t . fraction_del_size . text_style,
FractionDelimiterDisplayStyleSize = t . fraction_del_size . display_style,
LowerLimitBaselineDropMin = t . limit_below_bgap . text_style,
LowerLimitGapMin = t . limit_below_vgap . text_style,
-- MathLeading
MinConnectorOverlap = t . connector_overlap_min . text_style,
OverbarExtraAscender = t . overbar_kern . text_style,
OverbarRuleThickness = t . overbar_rule . text_style,
OverbarVerticalGap = t . overbar_vgap . text_style,
RadicalDisplayStyleVerticalGap = t . radical_vgap . display_style,
RadicalExtraAscender = t . radical_kern . text_style,
RadicalRuleThickness = t . radical_rule . text_style,
RadicalVerticalGap = t . radical_vgap . text_style,
RadicalKernBeforeDegree = t . radical_degree_before . display_style,
RadicalKernAfterDegree = t . radical_degree_after . display_style,
RadicalDegreeBottomRaisePercent = t . radical_degree_raise . display_style,
-- ScriptPercentScaleDown
-- ScriptScriptPercentScaleDown
-- SkewedFractionHorizontalGap
-- SkewedFractionVerticalGap
SpaceAfterScript = t . space_after_script . text_style,
StackBottomDisplayStyleShiftDown = t . stack_denom_down . display_style,
StackBottomShiftDown = t . stack_denom_down . text_style,
StackDisplayStyleGapMin = t . stack_vgap . display_style,
StackGapMin = t . stack_vgap . text_style,
StackTopDisplayStyleShiftUp = t . stack_num_up . display_style,
StackTopShiftUp = t . stack_num_up . text_style,
StretchStackGapBelowMin = t . over_delimiter_vgap . text_style,
StretchStackTopShiftUp = t . over_delimiter_bgap . text_style,
StretchStackGapAboveMin = t . under_delimiter_vgap . text_style,
StretchStackBottomShiftDown = t . under_delimiter_bgap . text_style,
SubSuperscriptGapMin = t . subsup_vgap . text_style,
SubscriptBaselineDropMin = t . sub_shift_drop . text_style,
SubscriptShiftDown = t . sub_shift_down . text_style,
SubscriptShiftDownWithSuperscript = t . sub_sup_shift_down . text_style,
SubscriptTopMax = t . sub_top_max . text_style,
SuperscriptBaselineDropMax = t . sup_shift_drop . text_style,
SuperscriptBottomMaxWithSubscript = t . sup_sub_bottom_max . text_style,
SuperscriptBottomMin = t . sup_bottom_min . text_style,
SuperscriptShiftUp = t . sup_shift_up . text_style,
SuperscriptShiftUpCramped = t . sup_shift_up . cramped_text_style,
UnderbarExtraDescender = t . underbar_kern . text_style,
UnderbarRuleThickness = t . underbar_rule . text_style,
UnderbarVerticalGap = t . underbar_vgap . text_style,
UpperLimitBaselineRiseMin = t . limit_above_bgap . text_style,
UpperLimitGapMin = t . limit_above_vgap . text_style,
}
-- too fragile for tx/px ... even the same values give different results
d.DisplayOperatorMinHeight = nil
--
d.AccentBaseHeight = 0 -- here? still?
return d, t -- t only for diagnostics
else
return { }, { }
end
end
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