Info Catalog calc: Horizontal Compositions calc: Compositions calc: Other Compositions

calc: Vertical Compositions

 
 7.8.10.3 Vertical Compositions
 ..............................
 
 The ‘cvert’ function makes a vertical composition.  Each component of
 the vector is centered in a column.  The baseline of the result is by
 default the top line of the resulting composition.  For example,
 ‘f(cvert([a, bb, ccc]), cvert([a^2 + 1, b^2]))’ formats in Big mode as
 
      f( a ,  2    )
        bb   a  + 1
        ccc     2
               b
 
    There are several special composition functions that work only as
 components of a vertical composition.  The ‘cbase’ function controls the
 baseline of the vertical composition; the baseline will be the same as
 the baseline of whatever component is enclosed in ‘cbase’.  Thus
 ‘f(cvert([a, cbase(bb), ccc]), cvert([a^2 + 1, cbase(b^2)]))’ displays
 as
 
              2
             a  + 1
         a      2
      f(bb ,   b   )
        ccc
 
    There are also ‘ctbase’ and ‘cbbase’ functions which make the
 baseline of the vertical composition equal to the top or bottom line
 (rather than the baseline) of that component.  Thus ‘cvert([cbase(a /
 b)]) + cvert([ctbase(a / b)]) + cvert([cbbase(a / b)])’ gives
 
              a
      a       -
      - + a + b
      b   -
          b
 
    There should be only one ‘cbase’, ‘ctbase’, or ‘cbbase’ function in a
 given vertical composition.  These functions can also be written with no
 arguments: ‘ctbase()’ is a zero-height object which means the baseline
 is the top line of the following item, and ‘cbbase()’ means the baseline
 is the bottom line of the preceding item.
 
    The ‘crule’ function builds a “rule,” or horizontal line, across a
 vertical composition.  By itself ‘crule()’ uses ‘-’ characters to build
 the rule.  You can specify any other character, e.g., ‘crule("=")’.  The
 argument must be a character code or vector of exactly one character
 code.  It is repeated to match the width of the widest item in the
 stack.  For example, a quotient with a thick line is ‘cvert([a + 1,
 cbase(crule("=")), b^2])’:
 
      a + 1
      =====
        2
       b
 
    Finally, the functions ‘clvert’ and ‘crvert’ act exactly like ‘cvert’
 except that the items are left- or right-justified in the stack.  Thus
 ‘clvert([a, bb, ccc]) + crvert([a, bb, ccc])’ gives:
 
      a   +   a
      bb     bb
      ccc   ccc
 
    Like ‘choriz’, the vertical compositions accept a second argument
 which gives the precedence to use when formatting the components.
 Vertical compositions do not support separator strings.
 

Info Catalog calc: Horizontal Compositions calc: Compositions calc: Other Compositions