---
-
  name: whitespace-omission
  tag: "!*"
  match: "not(self::m:math) and not($MatchingWhitespace) and (@data-previous-space-width >= 0.7 or @data-following-space-width >= 0.7)"
  replace:
   - with:
      variables: [MatchingWhitespace: "true()"]
      replace:
      - test:
        - if: "@data-previous-space-width > 1.1"
          then: [t: "⠿"]
          # non-breaking space width; also avoid spaces added after commas in scripts (78_1)
        - else_if: "@data-previous-space-width >= 0.7 and
                    ($NewScriptContext='' or not(preceding-sibling::*[1][self::m:mo and .=',']))"
          then: [t: "W"]
      - x: "."
      - test:
        - if: "@data-following-space-width > 1.1"
          then: [t: "⠿"]
          # non-breaking space width; also avoid spaces added after commas in scripts (78_1)
        - else_if: "@data-following-space-width >= 0.7 and
                    ($NewScriptContext='' or not(self::m:mo and .=','))"
          then: [t: "W"]

-
   name: omission-intent
   tag: "!*"
   match: "contains(@intent, ':blank')"
   replace: 
   - t: "⠬"

-
   name: default
   tag: msqrt
   match: "."
   replace:
   - x: $NewRadicalContext # start root indicator(s)
   - t: "⠜"
   - with:
      variables: [NewRadicalContext: "concat($NewRadicalContext, '⠨')"]
      replace: [x: "*"]
   - x: $NewRadicalContext # end root indicator(s)
   - t: "⠻"

-
   name: default
   tag: mroot
   match: "."
   replace:
   - x: $NewRadicalContext # start root indicator(s)
   - t: "⠣"
   - x: "*[2]"
   - t: "⠜"  # end of index
   - with:
      variables: [NewRadicalContext: "concat($NewRadicalContext, '⠨')"]
      replace: [x: "*[1]"]
   - x: $NewRadicalContext # end root indicator(s)
   - t: "⠻"


# Fraction rules
# The fraction part of a mixed number is always simple
# They also differ because a two character sequence is needed to bracket the fraction
# The invisible plus should produce an empty string

# Mixed numbers can also use linear form. E.g., 3 1/2
- name: linear-mixed-number
  tag: mrow
  match:
     - "preceding-sibling::*[1][self::m:mo][text()='\u2064'] and" # preceding element is invisible plus
     - "*[2][self::m:mo][text() = '/']" # not really needed because invisible plus added only if true, but checking
  replace:
     - t: "⠸⠹"
     - x: "*"
     - t: "⠸⠼"

- name: common-fraction-mixed-number
  tag: mfrac
  match:
     - "preceding-sibling::*[1][self::m:mo][text()='\u2064'] and" # preceding element is invisible plus
     - "*[1][self::m:mn][not(contains(., '.'))]   and"
     - "*[2][self::m:mn][not(contains(., '.'))]"
  replace:
     - t: "⠸⠹"
     - x: "*[1]"
     - test:
          if: "@bevelled"
          then: [t: "⠸⠌"]
          else: [t: "⠌"]
     - x: "*[2]"
     - t: "⠸⠼"

- name: default
  tag: mfrac
  match: "."
  variables: [NestingChars: "NestingChars(., '⠠')"]
  replace:
     - x: $NestingChars # start fraction indicator(s)
     - t: "⠹"
     - x: "*[1]"
     - x: $NestingChars # over indicator(s)
     - test:
          if: "@bevelled"
          then: [t: "⠸⠌"]
          else: [t: "⠌"]
     - x: "*[2]"
     - x: $NestingChars # end fraction indicator(s)
     - t: "⠼"

- name: binomial-table
  tag: mrow
  match: "IsBracketed(., '(', ')') and *[2][self::m:mtable][count(*)=2 and count(*[1])=1] and contains(@intent, 'binomial(')"
  replace:
     - x: "*[1]"
     - x: "*[2]/*[1]/*[1]/*[1]"
     - t: "⠩"
     - x: "*[2]/*[2]/*[1]/*[1]"
     - x: "*[3]"

#
# Matrix/Determinant rules
# matrix and determinant are the same other than "matrix"/"determinant" based on the bracketing chars
# we don't do spatial layout, instead the beginning/ending of each row uses the enlarged bracketing chars
- 
   name: default-matrix
   tag: mrow
   variables:
   - RowStart: "*[1]"
   - RowEnd: "*[3]"
   match:
   - "*[2][self::m:mtable] and"
   - (IsBracketed(., '(', ')') or IsBracketed(., '[', ']') or IsBracketed(., '|', '|'))
   replace:
   - test:
      if: "count(*[2]/*) > 1"
      then: [t: "⠠"]
   - x: "*[1]"       # open paren, etc  -- no space is used between this and the first row entry
   - x: "*[2]"
   - test:
      if: "count(*[2]/*) > 1"
      then: [t: "⠠"]
   - x: "*[3]"       # close paren, etc  -- no space is used between this and the last row entry

-
   name: default-mtable
   tag: mtable
   match: "."
   replace: [x: "*"]

-
   name: default
   tag: [mtr, mlabeledtr]
   match: "."
   replace:
   - test:
      if: "preceding-sibling::*"
      then: [t: "W⣍"]     # github.com/NSoiffer/MathCAT/issues/43#issuecomment-1297048039
   - test:
      if: .[self::m:mlabeledtr]
      then: [x: "*[position()>1]"]
      else: [x: "*"]
   - test:              # put row label at end so it doesn't interfere with column counts
      if: .[self::m:mlabeledtr]
      then:
      - t: "⠗⠕⠺W⠇⠁⠃⠑⠇⠸⠒" # "row label:"   # FIX: what should be used?
      - x: "*[1]/*" # contents of row label

-
   name: default
   tag: mtd
   match: "."
   replace:
   - test:
      if: "preceding-sibling::*"
      then: [t: "W"]
   - test:
      if: "*"
      then: [x: "*"]
      else: [t: "W"]  # put something out so the reader can tell there was a column

- 
   name: no-content
   tag: math
   match: "not(*)" # empty
   replace: [t: "W"] # not sure that is right, but this shouldn't happen

- name: default
  tag: math
  match: "."
  variables:
     - NewScriptContext: "''"    # empty string -- it needs to be set
     - NewUnderContext: "''"     # empty string -- it needs to be set
     - NewOverContext: "''"      # empty string -- it needs to be set
     - NewRadicalContext: "''"   # empty string -- it needs to be set
     - MatchingWhitespace: "false()"
  replace: [x: "*"]

- name: binomial-frac
  tag: mrow
  match: "IsBracketed(., '(', ')') and *[2][self::m:mfrac][@linethickness=0]"
  replace:
     - x: "*[1]"
     - x: "*[2]/*[1]"
     - t: "⠩"
     - x: "*[2]/*[2]"
     - x: "*[3]"

- name: vertical bars
  # 177.vii requires a multipurpose indicator between consecutive vertical bars
  tag: mrow
  match:
     - "( IsBracketed(., '', '|') or IsBracketed(., '', '‖') or IsBracketed(., '', '⦀') ) and " # ends with single, double, or triple vertical bar
     - "following-sibling::*[1][self::m:mo and text()='\u2062'] and"
     - "(  following-sibling::*[2][IsBracketed(., '|', '')] or " # starts with ... vertical bar
     - "   following-sibling::*[2][IsBracketed(., '‖', '')] or "
     - "   following-sibling::*[2][IsBracketed(., '⦀', '')] "
     - ")"
  replace:
     - x: "*"
     - t: "m"

- name: empty-mrow
  tag: mrow
  match: "not(*)"
  replace: [t: "W"] # not sure what is correct -- if in a fraction, probably something is better than nothing

# this is a weird case of Rule 82b -- adding a multipurpose indicator between staggered scripts
# normally this happens for a script inside of a script.
# in this rare case (ex: {NH_2}^+), the base of the doesn't have bracketing chars, so the script is at the end and the rule applies
- name: last-is-script
  tag: mrow
  match: "(parent::m:msub or parent::m:msup) and *[last()][self::m:msub or self::m:msup]"
  replace:
  - x: "*"
  - t: "m"

# triple bonds have a special two char code (chem 2.5.4)
# it would be more efficient to put this on ":", but only outputting for one of the chars is hard
# note: "⋮⋮" (another form of triple bond) is handled in the Unicode file
- name: chemistry-colon-triple-bond
  tag: mrow
  match: "count(*)=5 and *[2][@data-chemical-bond and .=':'] and *[3][.=':'] and *[4][.=':']" # could test the others for being bonds
  replace:
  - x: "*[1]"
  - t: "⠨⠹"
  - x: "*[5]"

- name: default
  tag: mrow
  match: "."
  replace: [x: "*"]

# rule 57 -- there is no way to get this rule completely right because some require knowing what the omitted symbol should to get spacing right (e.g., 57(3): "7×2?14") 
#  Here we pick off cases that seem likely and doable
#  Note: '?' is sometimes used with mover/munder and '=' or other chars, so we need to make sure the parent is mrow
- name: omissions
  tag: [mo, mtext]
  match:
  - "((.='?' or .='-?-') and parent::*[1][self::m:mrow]) or .='\u00A0'"
  variables:
  # guess whether this needs spacing or not
  - IsComparisonOp: "not(
        preceding-sibling::*[1][self::m:mo] or
        following-sibling::*[1][self::m:mo]
      )"
  replace:
  # "?" is punctuation and so won't get spaced, but the omission symbols should get spacing if it is a comparison operators. Here we test and add it in.
  - test:
      if: "$IsComparisonOp"
      then: [t: "W"]
  - t: "⠿"
  - test:
      if: "$IsComparisonOp"
      then: [t: "W"]

- name: omissions
  tag: menclose
  match: "*[1][.='?'] and (@notation='bottom' or @notation='box')"
  replace: [t: "⠿"]


- # Rule 138 a.2 -- space after a function name
  # most functions will have an invisible apply that adds the space, but "mod" and "rem" are infix, so different
  name: mod_and_rem
  tag: [mi, mo, mtext] # should really only be 'mo', but others are used
  match: ".='mod' or .='rem'"
  replace:
     - x: "BrailleChars(., 'Nemeth')"
     - t: "w"    # after a function name, so lower case

- name: default
  tag: mn
  match: "."
  replace: [x: "BrailleChars(., 'Nemeth')"]

- # add space after these ops when they are prefix operators
  # note: other shapes are <mi>s and canonicalization turns them into function calls (which will include spaces after them)
  name: prefix-geometry-ops
  tag: mo
  match:
     - "..[self::m:mrow and count(*) = 2] and not(preceding-sibling::*) and"
     - "IsInDefinition(., 'Braille', 'GeometryPrefixOperators')"
  replace:
     - x: "text()"
     - t: "w"

- # In Nemeth code "∼" can be a prefix *operator* or an infix comparison -- they have different spacing. We catch the prefix version here
  # Note: ASCII "~" has been canonicalized to occur only in a diacritical position
  name: prefix-tilde
  tag: mo
  match: "text()='∼' and not(preceding-sibling::*) and parent::m:mrow"
  replace:
  - x: "text()"
  - test:    # if there is a following tilde, it is buried in an mrow
      if: "following-sibling::*[1][name(.)='mrow' and *[1][text()='∼']]"
      then: [t: "m"]     # add multipurpose indicator (177_9)

- # In the default rule below, we insert multipurpose indicators between chars -- don't do that for dashes (others???)
  # Note: ASCII "~" has been canonicalized to occur only in a diacritical position
  name: dashes
  tag: mo
  match: "translate(., '-', '')=''"
  replace:
  - x: "text()"

- name: default
  tag: mo
     # add spaces around comparison operators,
     # but if "modified", they are moved outside of munder, etc, and handled by those rules
     # need to insert multipurpose indicators between comparison chars in multi-char mo
     # dashes are an exception (others???)
     # We exclude chemical bonds as they aren't comparison operators
     # We also exclude up/down arrows as per the 3.2.4 of the chem spec
  match: "."
  replace:
  - test:
      if: "parent::*[self::m:mrow] and not(@data-chemical-bond) and
           not(@data-chem-equation-op and (.='↑' or .='↓')) and
           IsInDefinition(substring(., 1, 1), 'Braille', 'NemethComparisonOperators')"
      then:
          - test:   # Spacing and NemethPunctAndOpenBeforeSymbols test is Rule 151, NemethComparisonOperators test is Rule 149 
              if: "not( preceding-sibling::*[1][IsInDefinition(., 'Braille', 'NemethPunctAndOpenBeforeSymbols')] )"
              then: [t: "w"]
          - test:
              if: "$NewScriptContext!=''" # Rule 79g
              then: [x: "$NewScriptContext"]
  - x: "BrailleChars(., 'Nemeth', 1, 2)"
  - test:
      # "insert:" doesn't work because "text()" returns a single text node. Potentially, that could be special cased in "insert"
      # instead we do the ugly thing and pick off up to four chars and call it a day after that
      if: "string-length(text()) > 1"
      then:
      - test:
          if: "IsInDefinition(substring(., 1, 1), 'Braille', 'NemethComparisonOperators') and IsInDefinition(substring(., 2, 1), 'Braille', 'NemethComparisonOperators')"
          then: [t: "m"]
      - x: "BrailleChars(., 'Nemeth', 2, 3)"
      - test:
          if: "string-length(text()) > 2"
          then:
          - test:
              if: "IsInDefinition(substring(., 2, 1), 'Braille', 'NemethComparisonOperators') and IsInDefinition(substring(., 3, 1), 'Braille', 'NemethComparisonOperators')"
              then: [t: "m"]
          - x: "BrailleChars(., 'Nemeth', 3, 4)"
          - test:
              if: "string-length(text()) > 3"
              then:
              - test:
                  if: "IsInDefinition(substring(., 3, 1), 'Braille', 'NemethComparisonOperators') and IsInDefinition(substring(., 4, 1), 'Braille', 'NemethComparisonOperators')"
                  then: [t: "m"]
              - x: "BrailleChars(., 'Nemeth', 4, 5)"
              - test:
                  if: "string-length(text()) > 4"
                  then:
                  - test:
                      if: "IsInDefinition(substring(., 4, 1), 'Braille', 'NemethComparisonOperators') and IsInDefinition(substring(., 5, 1), 'Braille', 'NemethComparisonOperators')"
                      then: [t: "m"]
                  - x: "BrailleChars(., 'Nemeth', 5, string-length(text())+1)"    # punt on the rest
  - test:  # NemethPunctAndOpenAfterSymbols test is Rule 151, NemethComparisonOperators test is Rule 149 
           # tilde test is a guess as to what is right -- all tildes and in a prefix location, don't treat as comparison operator
      if: "parent::*[self::m:mrow] and not(@data-chemical-bond) and
           IsInDefinition(substring(., string-length(.), 1), 'Braille', 'NemethComparisonOperators') and
           not( translate(., '∼', '')='' and not(preceding-sibling::*) ) and
           not( following-sibling::*[1][IsInDefinition(., 'Braille', 'NemethPunctAndOpenAfterSymbols')] )"
      then: [t: "w"]

- name: default
  tag: [mi, mtext]
  match: "."
  replace:
     - x: "BrailleChars(., 'Nemeth')"

# -
#    name: default
#    tag: ms
#    match: "."
#    replace:
#     - t: the string
#     - pause: short
#     - x: text()
- name: default
  tag: mstyle
  match: "."
  replace:
     - test:
          if: "*"
          then: [x: "*"]
          # else do nothing -- no content

-
   # primes don't get a superscript indicator
   name: skip-super
   tag: msup
   match: "*[2][self::m:mo][string-length(.)=1 and translate(., '′″‴⁗', '')='']"
   replace:
   - x: "*"

-
   # primes don't get a superscript indicator
   name: chem-skip-super
   tag: msup
   match: "@data-chem-formula and *[2][self::m:mo][string-length(.)=1 and translate(., '∙•', '')='']"
   replace:
   - x: "*"

-
   # chemistry rule -- multiple charges (e.g., "--") are brailled as 'count charge' (e.g., "2-")
   # because it is chemistry, we simplify the rule knowing it is on the baseline
   name: chem-charge
   tag: msup
   match: "@data-chem-formula and 
           *[2][@ data-chem-formula and (self::m:mrow or self::m:mi or self::m:mtext) and (translate(., '+', '') = '' or translate(., '-', '') = '')]"
   replace:
   - x: "*[1]"
   - t: "↑"
   - test:
      if: "*[2][self::m:mrow]"
      then:
      - x: "count(*[2]/*)"
      - x: "*[2]/*[1]"
      else:      # mi or mtext
      - x: "string-length(*[2])"
      - x: "substring(*[2],1,1)"
   - t: "b"

-
   name: default
   tag: msup
   match: "."
   variables:
   - OldScriptContext: "$NewScriptContext"

   # primes don't get a superscript indicator -- sometimes (e.g., WIRIS) prime is in an mrow (see 83_b_2)
   # here, we peel off the first prime -- the hack won't work if there are multiple primes, but that is HIGHLY unlikely
   - PrimeHack: "*[2][self::m:mrow]/*[1][self::m:mo and .='′' or .='″' or .='‴' or .='⁗']"
   replace:
   - x: "*[1]"
   - with:
      variables: [NewScriptContext: "concat($OldScriptContext, '↑')"]
      replace:
      - test:
         if: "$PrimeHack"
         then:
         - x: "*[2]/*[1]"
         - x: "$NewScriptContext"
         - x: "*[2]/*[position()>1]"
         else:
         - x: "$NewScriptContext"
         - x: "*[2]"
   - test:
      # emit level indicator if something follows or the closest non-mrow is an element with a close tag [80(a)]
      # if: "count(following-sibling::*) > 0 or ancestor::*[name() != 'mrow'][1]/.[self::m:mfrac or self::m:msqrt or self::m:mroot]"
      if: "not( (parent::m:msubsup and count(following-sibling::*)=1) or following-sibling::*[2][self::m:mmultiscripts and *[self::m:mprescripts]] )" # first child is likely invisible times
      then_test:
         if: "$OldScriptContext != ''"
         then: [x: "$OldScriptContext"]
         else_test:
            if: "not( parent::*[self::m:msubsup] )" # msupsup will generate baseline indicator
            then: [t: "b"]

-
  # From the chemistry guide, move the state from the subscript to after the script (5.3.2)
  # Because this is chemistry, we know the scripts are at level 1
  name: subscript-is-state
  tag: msubsup
  match: "*[2][@data-chem-state or (IsBracketed(., '(', ')') and *[2][@data-chem-state])]"
  replace:
  - x: "*[1]"
  - t: "↑"
  - x: "*[3]"
  - t: "b"   # chemistry -- returning to baseline
  - test:
      if: "*[2][@data-chem-state]"
      then:   # add the parens -- I didn't see this case in the chemistry guidelines, but this follows their idea
      - t: "("
      - x: "*[2]"
      - t: ")"
      else:
      - x: "*[2]"

-
   # implement rule 77 -- simple numeric (non-nested) subscript: don't use a subscript indicator
   #   must be a subscript at level 1
   # also rule 177.3 for multipurpose indicator (might be removed)
   name: numeric-sub
   tag: msub
   variables:
     # we include ∑ and ∏ because Nemeth uses the look-alike Greek letters for them, and hence considers the large ops to be Greek letters
   - BaseOkForNumericScript: "*[1][BaseNode(.)[
            (self::m:mi and (string-length()=1 or @data-chem-element or IsInDefinition(., 'Braille', 'FunctionNames'))) or
            (self::m:mo and (text()='∑' or text()='∏'))]
          ]"
   match: "*[2][self::m:mn] and ($NewScriptContext = '') and $BaseOkForNumericScript"
   replace:
   - x: "*[1]"
   - t: "M" # multipurpose indicator prevents the 'letter digit' substitution (177.2) from kicking in
   - x: "*[2]"
   - test:
      if: "count(following-sibling::*) > 0 or (position() = 1 and parent::*[IsNode(., 'scripted')])"
      then_test:
        if: "position() = 1 and parent::*[IsNode(., 'scripted')]"
        then: [t: "b"]
        else: [t: "M"]

- name: default
  tag: msub
  match: "."
  variables: [OldScriptContext: "$NewScriptContext"]
  replace:
     - x: "*[1]"
     - with:
          variables: [NewScriptContext: "concat($OldScriptContext, '↓')"]
          replace:
             - x: "$NewScriptContext"
             - x: "*[2]"
     - test:
          # emit level indicator if something follows or the closest non-mrow is an element with a close tag [80(a)]
          if: "not( (parent::m:msubsup and count(following-sibling::*)=1) or following-sibling::*[2][self::m:mmultiscripts and *[self::m:mprescripts]] )" # first child is likely invisible times
          then_test:
             if: "$OldScriptContext !=''"
             then: [x: "$OldScriptContext"]
             else: [t: "b"]

- # primes don't get a superscript indicator and come before the subscript
   name: skip-super
   tag: msubsup
   variables:
   - OldScriptContext: "$NewScriptContext"
   - PrimeHack: "*[3][self::m:mrow]/*[1][self::m:mo and translate(., '′″‴⁗', '')='']"
   match: "*[3][self::m:mo][translate(., '′″‴⁗', '')=''] or $PrimeHack or
           @data-chem-formula and *[2][self::m:mo][string-length(.)=1 and translate(., '∙•', '')='']"
   replace:
   - x: "*[1]"
   - test:
      if: "$PrimeHack"
      then: [x: "*[3]/*[1]"]
      else: [x: "*[3]"]
   - test:
      if: "*[2][self::m:mn] and ($NewScriptContext = '') and *[1][BaseNode(.)[self::m:mi]]"
      then:
      - x: "*[2]"
      - test:
         if: "count(following-sibling::*) > 0 and not($NewScriptContext)"
         then: [t: "M"]
      else:
      - with:
         variables: [NewScriptContext: "concat($OldScriptContext, '↓')"]
         replace:
         - x: "$NewScriptContext"
         - x: "*[2]"
   - test:
      if: "$PrimeHack"
      then:
      - with:
         variables: [NewScriptContext: "concat($OldScriptContext, '↑')"]
         replace:
         - x: "$NewScriptContext"
         - x: "*[3]/*[position()>1]"
   - test:
      # emit level indicator if something follows or the closest non-mrow is an element with a close tag [80(a)]
      if: "not( (parent::m:msubsup and count(following-sibling::*)=1) or following-sibling::*[2][self::m:mmultiscripts and *[self::m:mprescripts]] )" # first child is likely invisible times
      then_test:
         if: "$OldScriptContext != ''"
         then: [x: "$OldScriptContext"]
         else: [t: "b"]

-
   # Implement rules 75 - 83 for some general cases 
   # In general, we need to keep track of how we got to that script and put out the indicator(s)
   #   E.g, x^k_i has super, sub indicators in front of the 'i')
   # In general, the subscript comes before the superscript
   # After the last script, we need to indicate the initial script level except in certain cases
   # Exceptions to the above:
   #  primes always come before the subscript
   #  numeric subscripts associated with "simple" bases don't get a subscript indicator and hence don't need to reestablish the script level
   #   they do need a multipurpose indicator afterwards though so a following number isn't confused with the subscript (177.iiiG)
   #   subsequent rust code will eliminate unneeded multipurpose indicators
   # Prescripts differ from the above in the following ways:
   #   they need to establish their level before each prescript
   #   the number subscript simplification doesn't apply to prescripts
   # There is (currently) no way in MathCAT to deal with n-ary arguments other than "all" ('*') or an individual entry ('*[1]').
   #   Here we support up to 2 prescripts and up to 4 postscripts -- that should cover all reasonable cases
   #   If there are more, we just dump them out without regard to sup/super :-(
   #   Using variables makes the ugly code smaller/simpler
   name: default
   tag: [msubsup, mmultiscripts]
   match: "."
   variables:
   - OldScriptContext: "$NewScriptContext"
   # we include ∑ and ∏ because Nemeth uses the look-alike Greek letters for them, and hence considers the large ops to be Greek letters
   - BaseOkForNumericScript: "*[1][BaseNode(.)[(self::m:mi and (string-length()=1 or IsInDefinition(., 'Braille', 'FunctionNames'))) or
                                               (self::m:mo and (text()='∑' or text()='∏'))]]"
   # computing the number of postscripts is messy because of <mprescripts> being optionally present -- we use "mod" to get the count right
   - Prescripts: "m:mprescripts/following-sibling::*"
   - NumChildren: "count(*)"       # need to stash this since the count is wrong inside '*[...]' below
   - Postscripts: "*[position()>1 and position() < (last() + ($NumChildren mod 2) -count($Prescripts))]"
   replace:
   - test:  # prescripts first
      if: "$Prescripts"
      then:
      - test:
         if: "not($Prescripts[1][self::m:none])"
         then:
         - with:
            variables:
            - OldScriptContext: "$NewScriptContext"
            - NewScriptContext: "concat($OldScriptContext, '↓')"
            replace:
            - test:
              # avoid repeating level indicator
                if: "not($Prescripts[1][self::m:mmultiscripts])" 
                then: [x: "$NewScriptContext"]
            - x: "$Prescripts[1]"
      - test:
         if: "not($Prescripts[2][self::m:none])"
         then:
         - with:
            variables: [NewScriptContext: "concat($OldScriptContext, '↑')"]
            replace:
            - test:
              # avoid repeating level indicator or putting one out if a chemistry dot
               if: "not($Prescripts[2][self::m:mmultiscripts or
                        (self::m:mo and @data-chem-formula-op and string-length(.)=1 and translate(., '∙•', '')='') ])" 
               then: [x: "$NewScriptContext"]
            - x: "$Prescripts[2]"
      - test:
        - if: "$Prescripts[1][self::m:none] and $Prescripts[2][self::m:mo and @data-chem-formula-op and string-length(.)=1 and translate(., '∙•', '')='']"
          then: []  # do nothing
        - else_if: "$OldScriptContext != ''"
          then: [x: "$OldScriptContext"]
          else: [t: "b"]
      - test:
         if: "count($Prescripts) > 2"    # second set of prescripts
         then:
         - test:
            if: "not($Prescripts[3][self::m:none])"
            then:
            - with:
                variables:
                - OldScriptContext: "$NewScriptContext"
                - NewScriptContext: "concat($OldScriptContext, '↓')"
                replace:
                - test:
                    if: "not($Prescripts[3][self::m:mmultiscripts])" # avoid repeating level indicator
                    then: [x: "$NewScriptContext"]
                - x: "$Prescripts[3]"
         - test:
            if: "not($Prescripts[4][self::m:none])"
            then:
            - with:
                variables: [NewScriptContext: "concat($OldScriptContext, '↑')"]
                replace:
                - test:
                    if: "not($Prescripts[4][self::m:mmultiscripts])" # avoid repeating level indicator
                    then: [x: "$NewScriptContext"]
                - x: "$Prescripts[4]"
         - test:
            if: "count($Prescripts) > 4"   # give up and just dump them out so at least the content is there
            then: [x: "$Prescripts[position() > 4]"]
         - test:
            if: "$OldScriptContext != ''"    # indicate the level of the base of the mmultiscripts
            then: [x: "$OldScriptContext"]
            else: [t: "b"]

   - t: "M" # multipurpose indicator prevents the 'letter digit' substitution (177.2) from kicking in
   - x: "*[1]"
   - test:
      if: "$Postscripts"
      then:
      - with:
          variables:
          - IsNumericSubscript: "$Postscripts[1][self::m:mn] and $NewScriptContext = '' and $BaseOkForNumericScript"
          - IsPrimeSuperscript: "$Postscripts[2][self::m:mo][text()='′' or text()='″' or text()='‴' or text()='⁗']"
          # chem 5.3.1 says some superscripts come first (u2B96 is proposed char for standard state) -- not enough to trigger chemistry we look for the '∆'
          - IsSuperscriptFirst: "$Postscripts[2][self::m:mo][text()='°' or text()='\u2B96' or text()='″' or text()='*' or text()='⋆'] and *[1]/*[1]='∆'"
          replace:
          - test:
            - if: "$IsPrimeSuperscript"
              then: [x: "$Postscripts[2]"]
            - else_if: "$IsSuperscriptFirst"
              then:
              - with:
                  variables:
                  - NewScriptContext: "concat($OldScriptContext, '↑')"
                  replace:
                  - x: "$NewScriptContext"
                  - x: "$Postscripts[2]"
          - test:
            - if: "$IsNumericSubscript"
              then:
              - t: "M"    # prevent 177.2 (see regex replacement MULTI_177_2 in code)
              - x: "$Postscripts[1]"
            - else_if: "not($Postscripts[1][self::m:none])"
              then:
              - with:
                  variables:
                  - OldScriptContext: "$NewScriptContext"
                  - NewScriptContext: "concat($OldScriptContext, '↓')"
                  replace:
                  - x: "$NewScriptContext"
                  - x: "$Postscripts[1]"
          - test:
              if: "not($IsPrimeSuperscript or $IsSuperscriptFirst or $Postscripts[2][self::m:none])"
              then_test:
                  if: "$Postscripts[2][self::m:mo and @data-chem-formula-op and string-length(.)=1 and translate(., '∙•', '')='']"
                  then: [x: "$Postscripts[2]"]
                  else:
                  - with:
                      variables:
                      - OldScriptContext: "$NewScriptContext"
                      - NewScriptContext: "concat($OldScriptContext, '↑')"
                      replace:
                      - x: "$NewScriptContext"
                      - x: "$Postscripts[2]"
          - test:
              if: "count($Postscripts) > 2"
              then:
              - with:
                  variables:
                  # generate a numeric shortcut if previous was only a prime 
                  - IsNumericSubscript2: "$IsPrimeSuperscript and $Postscripts[1][self::m:none] and
                                          $Postscripts[3][self::m:mn] and $NewScriptContext = '' and $BaseOkForNumericScript"
                  replace:
                  - test:
                      # 82.b -- need to add level indicator between adjacent (not simultaneous) scripts
                      # The exception is if there was only a prime and/or we used a numeric shortcut for the first script pair or for here
                      if: "not( ($Postscripts[1][self::m:none] and $IsPrimeSuperscript) or
                                $Postscripts[2][self::m:mo and @data-chem-formula-op and string-length(.)=1 and translate(., '∙•', '')=''])"
                      then: [t: "b"]
                  - test:
                      if: "not($Postscripts[3][self::m:none])"
                      then:
                      - test:
                          if: "$IsNumericSubscript2"
                          then: [x: "$Postscripts[3]"]    # numeric shortcut -- note 177.2 can't happen because must be a prime symbol before the number
                          else:
                          - with:
                              variables:
                              - OldScriptContext: "$NewScriptContext"
                              - NewScriptContext: "concat($OldScriptContext, '↓')"
                              replace:
                              - x: "$NewScriptContext"
                              - x: "$Postscripts[3]"
                  - test:
                      if: "not($Postscripts[4][self::m:none])"
                      then:
                      - with:
                          variables:
                          - OldScriptContext: "$NewScriptContext"
                          - NewScriptContext: "concat($OldScriptContext, '↑')"
                          replace:
                          - x: "$NewScriptContext"
                          - x: "$Postscripts[4]"
              - test:
                  if: "count($Postscripts) > 4"
                  then:
                  - t: "b"
                  - test:
                      if: "not($Postscripts[5][self::m:none])"
                      then:
                      - with:
                          variables:
                          - OldScriptContext: "$NewScriptContext"
                          - NewScriptContext: "concat($OldScriptContext, '↓')"
                          replace:
                          - x: "$NewScriptContext"
                          - x: "$Postscripts[5]"
                  - test:
                      if: "not($Postscripts[6][self::m:none])"
                      then:
                      - with:
                          variables:
                          - OldScriptContext: "$NewScriptContext"
                          - NewScriptContext: "concat($OldScriptContext, '↑')"
                          replace:
                          - x: "$NewScriptContext"
                          - x: "$Postscripts[6]"
                  - test:
                      if: "count($Postscripts) > 6"
                      then:
                      - t: "b"    # 82.b -- need to add level indicator between adjacent (not simultaneous) scripts (assumes one of sub/super is not 'none')
                      - test:
                          if: "not($Postscripts[7][self::m:none])"
                          then:
                          - with:
                              variables:
                              - OldScriptContext: "$NewScriptContext"
                              - NewScriptContext: "concat($OldScriptContext, '↓')"
                              replace:
                              - x: "$NewScriptContext"
                              - x: "$Postscripts[7]"
                      - test:
                          if: "not($Postscripts[8][self::m:none])"
                          then:
                          - with:
                              variables:
                              - OldScriptContext: "$NewScriptContext"
                              - NewScriptContext: "concat($OldScriptContext, '↑')"
                              replace:
                              - x: "$NewScriptContext"
                              - x: "$Postscripts[8]"
                          - test:
                              if: "count($Postscripts) > 8"   # give up and just dump them out so at least the content is there
                              then:
                              - t: "b"    # 82.b -- need to add level indicator between adjacent (not simultaneous) scripts (assumes one of sub/super is not 'none')
                              - x: "$Postscripts[position() > 8]"
   - test:
      # emit level indicator if not numeric subscript, something follows or the closest non-mrow is an element with a close tag [80(a)]
      if: "$Postscripts and
           not( ($Postscripts[last()][self::m:none] and $Postscripts[last()-1][self::m:mn] and $BaseOkForNumericScript) or
                (parent::m:msubsup and count(following-sibling::*)=1) or
                following-sibling::*[2][self::m:mmultiscripts and *[self::m:mprescripts]]
              )" # first child is likely invisible times
      then_test:
         if: "$OldScriptContext != ''"
         then: [x: "$OldScriptContext"]
         else: [t: "b"]

-
   name: contracted-form # NFB Lesson 12.5.1.b
   tag: munder
   match: "*[1][(self::m:mi or self::m:mn or self::m:mtext) and string-length(text())=1] and *[2][text()='¯']"
   replace:
   - x: "*[1]"
   - t: "⠩⠱"

-
   name: contracted-form #rule 86.b
   tag: mover
   match: "*[1][(self::m:mi or self::m:mn or self::m:mtext) and string-length(text())=1] and *[2][text()='¯']"
   replace:
   - x: "*"

-
   name: subsequent-dots #rule 99.a -- only one dot used for series of dots over digits
   tag: mover
   match:
   - "*[1][self::m:mn and string-length(text())=1 and translate(.,'1234567890', '') = ''] and"  # digit as base
   - "*[2][self::m:mo and text()='˙']"                                                           # dot above
   variables:
   - OldOverContext: "$NewOverContext"
   - NewOverContext: "concat($NewOverContext, '⠣')"
   replace:
   - test:   # '2' -- skip over added invisible times
      if: "not(preceding-sibling::*[2][
               self::m:mover and
               *[1][self::m:mn and string-length(text())=1 and translate(.,'1234567890', '') = ''] and
               *[2][self::m:mo and text()='˙']])" 
      then: [t: "m"]            # first one
   - x: "*[1]"
   - test:   # '2' -- skip over added invisible times
      if: "not(following-sibling::*[2][
               self::m:mover and
               *[1][self::m:mn and string-length(text())=1 and translate(.,'1234567890', '') = ''] and
               *[2][self::m:mo and text()='˙']])"
      then:            # last one
      - x: "$NewOverContext"
      - x: "*[2]"
      - t: "⠻"

-
  # this captures the output for the mhchem's "<=>", "<<=>", and "<=>>" output (there are no Unicode arrows for them)
  # this isn't a perfect match, but should be good enough and allows merging all three (see github.com/NSoiffer/MathCAT/issues/60)
  name: chemistry-mhchem-equilibrium-arrow
  tag: mover
  match:
  -    "*[1][substring(., 1, 1)='↽'] and"
  -    "*[2][substring(., string-length(), 1)='⇀']"
  replace:
  - test:
      if: "*[1][self::m:mrow]"
      then_test:
          # there is a bug in the xpath package so \u1f8d2 (etc) aren't read properly, so we need to use the actual char
          if: "*[2][self::m:mrow]"
          then: [x: "'🣑'"]    # 0x1f8d1 -- this is currently unassigned and may get used by UTC at some point (<=>)
          else: [x: "'🣓'"]    # 0x1f8d3 -- this is currently unassigned and may get used by UTC at some point (<<=>)
      else: [x: "'🣒'"]        # 0x1f8d2 -- this is currently unassigned and may get used by UTC at some point (<=>>)

-
   name: default
   tag: [munder, mover]
   match: "."
   variables:
   - NotNested: "$NewUnderContext='' and $NewOverContext=''"
   - AddSpaces: "IsInDefinition(BaseNode(.), 'Braille', 'NemethComparisonOperators')"
   replace:
   - test:
      if: "$AddSpaces"
      then: [t: "w"]
   - test:
      if: "$NotNested"
      then:
      - test:
         # Rule 80b -- if in a script and not first item (could be nested mrows), restate the scriptlevel
         if: "parent::*[self::m:mrow] and
            ancestor-or-self::*[not(preceding-sibling::*)][1]
            [self::m:msup or self::m:msub or self::m:msubsup or self::m:mmultiscripts]"
         then: [x: "$NewScriptContext"]
      - t: "m"
   - x: "*[1]"
   # create the new context only after the base is generated
   - test:
      if: "self::m:munder"
      then:
      - with:
         variables:
         - OldUnderContext: "$NewUnderContext"
         - NewUnderContext: "concat($NewUnderContext, '⠩')"
         replace:
         - x: "$NewUnderContext"
         - x: "*[2]"
      else:
      - with:
         variables:
         - OldOverContext: "$NewOverContext"
         - NewOverContext: "concat($NewOverContext, '⠣')"
         replace:
         - x: "$NewOverContext"
         - x: "*[2]"
   - test:
      if: "$NotNested"
      then: [t: "⠻"]
   - test:
      if: "$AddSpaces"
      then: [t: "w"]

-
   name: default
   tag: munderover
   match: "."
   replace:
   - test:
      # Rule 80b -- if in a script and not first item (could be nested mrows), restate the scriptlevel
      if: "parent::*[self::m:mrow] and
         ancestor-or-self::*[not(preceding-sibling::*)][1]
         [self::m:msup or self::m:msub or self::m:msubsup or self::m:mmultiscripts]"
      then: [x: "$NewScriptContext"]
   - t: "m"
   - x: "*[1]"
   # create the new context only after the base is generated
   - with:
      variables:
      - OldUnderContext: "$NewUnderContext"
      - NewUnderContext: "concat($NewUnderContext, '⠩')"
      replace:
      - x: "$NewUnderContext"
      - x: "*[2]"
   - with:
      variables:
      - OldOverContext: "$NewOverContext"
      - NewOverContext: "concat($NewOverContext, '⠣')"
      replace:
      - x: "$NewOverContext"
      - x: "*[3]"
   - test:
      if: "$NewUnderContext='' and $NewOverContext=''"   # only generate a single terminator (when at baseline)
      then: [t: "⠻"]

- # Note: @notation can contain more than one value
  # I don't think Nemeth has a good way to represent all notations, especially when in combination
  # Note:
  #   Shape indicator: ⠫
  #   Interior of shape-modification indicator: ⠸⠫
  #   Termination indicator: ⠻
  #
  # We place left and right outside of other notations
  # top and bottom also get special treatment

  name: default
  tag: menclose
  match: "."
  variables:
     [
        AddSpaces: "parent::*[self::m:mrow] and *[1][ self::m:mo and IsInDefinition(., 'Braille', 'Braille', 'NemethComparisonOperators')]",
     ]
  replace:
     - test:
          if: "contains(concat(' ', normalize-space(@notation), ' '), ' left ')" #avoid 'leftarrow'
          then: [t: "⠳"]
     - test:
          if: "contains(concat(' ', normalize-space(@notation), ' '), ' box ')" # box, not roundedbox
          then:
             - test:
                  if: "$AddSpaces"
                  then: [t: "w"]
             - test:
                  if: "*[1][self::m:mrow]"
                  then: [t: "⠫⠗⠸⠫"] # rectangle
                  else: [t: "⠫⠲⠸⠫"] # square
     - test:
          if: "contains(@notation,'circle')"
          then:
             - test:
                  if: "$AddSpaces"
                  then: [t: "w"]
             - test:
                  if: "*[1][self::m:mrow]"
                  then: [t: "⠫⠑⠸⠫"] # ellipse
                  else: [t: "⠫⠉⠸⠫"] # circle
     - test:
          if: "contains(@notation,'phasorangle')"
          then: [t: "⠫⠪⠸⠫"]
     - test:
          # going out on a limb and considering this used for keyboard indicator (NFB lesson 11.23)
          if: "contains(@notation,'roundedbox')"
          then: [t: "⠫⠅"]
     - test:
          if:
             "contains(@notation,'updiagonalstrike') or contains(@notation,'downdiagonalstrike') or
             contains(@notation,'verticalstrike') or contains(@notation,'horizontalstrike')"
          then:
             - t: "⠪" # start cancellation
     - test:     # NFB lesson 12.5.2 adds under bars to rule 86.b
          if: "(contains(@notation,'bottom') or contains(@notation,'top')) and
               not(*[1][IsNode(., 'leaf') and string-length(text())=1])" # not contracted-form #rule 86.b (equiv to mover with "¯")
          then: [t: "m"]
     - test:
          if: "contains(@notation,'uparrow')"
          then: [t: up arrow, pause: short]
     - test:
          if: "contains(concat(' ', normalize-space(@notation), ' '), ' downarrow ')"
          then: [t: down arrow, pause: short]

     # ??? What should happen with arrow?
     #  If there is a box/circle with arrows only and an empty child,
     #     then it acts like the arrow is the child
     #  If there are only arrows for 'notation', then maybe rule 112 applies (superposition),
     #     but the examples aren't similar. In that case, the arrow acts like 'box' and the child is the content... maybe
     #
     #  - test:
     #      if: "contains(@notation,'leftarrow')"
     #      then: [t: left arrow, pause: short]
     #  - test:
     #      if: "contains(concat(' ', normalize-space(@notation), ' '), ' rightarrow ')"
     #      then: [t: right arrow, pause: short]
     #  - test:
     #      if: "contains(@notation,'northeastarrow')"
     #      then: [t: northeast arrow, pause: short]
     #  - test:
     #      if: "contains(concat(' ', normalize-space(@notation), ' '), ' southeastarrow ')"
     #      then: [t: southeast arrow, pause: short]
     #  - test:
     #      if: "contains(concat(' ', normalize-space(@notation), ' '), ' southwestarrow ')"
     #      then: [t: southwest arrow, pause: short]
     #  - test:
     #      if: "contains(@notation,'northwestarrow')"
     #      then: [t: northwest arrow, pause: short]
     #  - test:
     #      if: "contains(@notation,'updownarrow')"
     #      then: [t: double ended vertical arrow, pause: short]
     #  - test:
     #      if: "contains(@notation,'leftrightarrow')"
     #      then: [t: double ended horizontal arrow, pause: short]
     #  - test:
     #      if: "contains(@notation,'northeastsouthwestarrow')"
     #      then: [t: double ended up diagonal arrow, pause: short]
     #  - test:
     #      if: "contains(@notation,'northwestsoutheastarrow')"
     #      then: [t: double ended down diagonal arrow, pause: short]
     #  - test:
     #      if: ".[contains(@notation,'actuarial')]"
     #      then: [t: actuarial symbol, pause: short]
     #  - test:
     #      if: ".[contains(@notation,'madrub')]"
     #      then: [t: arabic factorial symbol, pause: short]
     #  - test:
     #      if: ".[contains(@notation,'longdiv') or not(@notation) or normalize-space(@notation) ='']"      # default
     #      then: [t: long division symbol, pause: short]
     #  - test:
     #      if: ".[contains(@notation,'radical')]"
     #      then: [t: square root, pause: short]

     - x: "*"

     - test:
          if: "contains(@notation,'bottom')" # bar underneath
          then_test:
             if: "*[1][not(self::m:mrow) and string-length(text())=1]" # bar over
             then: [t: "⠩⠱"]
             else: [t: "⠩⠱"]
     - test:
          if: "contains(@notation,'top')"
          then_test:
             if: "*[1][not(self::m:mrow) and string-length(text())=1]" # bar over
             then: [t: "⠱"]
             else: [t: "⠣⠱"]
     - test:   # NFB lesson 12.5.2 adds under bars to rule 86.b
          if: "(contains(@notation,'bottom') or contains(@notation,'top')) and
               not(*[1][IsNode(., 'leaf') and string-length(text())=1])" # not contracted-form #rule 86.b (equiv to mover with "¯")
          then: [t: "⠻"] # only emit once for top and bottom
     - test:
          if:
             "contains(@notation,'updiagonalstrike') or contains(@notation,'downdiagonalstrike') or
             contains(@notation,'verticalstrike') or contains(@notation,'horizontalstrike')"
          then:
             - t: "⠻" # end cancellation
     - test:
          if: "contains(@notation,'box') or contains(@notation,'circle') or contains(@notation,'phasorangle')" #both box and roundedbox
          then:
             - t: "⠻" # terminate shape
             - test:
                  if: "$AddSpaces"
                  then: [t: "w"]
     - test:
          if: "contains(concat(' ', normalize-space(@notation), ' '), ' right ')" #avoid 'rightarrow'
          then: [t: "⠳"]

- name: default
  tag: ms
  match: "."
  replace:
     - test:
          if: "string(@lquote)!=''"
          then: [x: "@lquote"]
          else: [t: "⠄⠄"]
     - x: "BrailleChars(., 'Nemeth')"
     - test:
          if: "string(@rquote)!=''"
          then: [x: "@rquote"]
          else: [t: "⠄⠄"]

- name: default
  tag: semantics
  match: "."
  replace:
     - x: "*[1]" #/ FIX: should prioritize @encoding="MathML-Presentation" and @encoding="application/mathml-presentation+xml"

- name: default-children
  tag: "*"
  match: "*" # make sure there are children
  replace:
     - t: "unknown math m l element"
     - x: "name(.)"
     - x: "*"
- # at this point, we know there are no children -- might be no text
  name: default-no-children
  tag: "*"
  match: "text()"
  replace:
     - t: unknown math m l element
     - x: "name(.)"
     - x: "text()"
- name: default-no-text
  tag: "*"
  match: "."
  replace:
     - t: "empty unknown math m l element"
     - x: "name(.)"