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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" }, },
+}
+
+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
+