list.fhtml, login.fhtml: Add some missing access keys.

[chopwood] / format.py

### -*-python-*-
###
### String formatting, with bells, whistles, and gongs
###
### (c) 2013 Mark Wooding
###

###----- Licensing notice ---------------------------------------------------
###
### This file is part of Chopwood: a password-changing service.
###
### Chopwood is free software; you can redistribute it and/or modify
### it under the terms of the GNU Affero General Public License as
### published by the Free Software Foundation; either version 3 of the
### License, or (at your option) any later version.
###
### Chopwood is distributed in the hope that it will be useful,
### but WITHOUT ANY WARRANTY; without even the implied warranty of
### MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
### GNU Affero General Public License for more details.
###
### You should have received a copy of the GNU Affero General Public
### License along with Chopwood; if not, see
### <http://www.gnu.org/licenses/>.

from __future__ import with_statement

import contextlib as CTX
import re as RX
from cStringIO import StringIO
import sys as SYS

import util as U

###--------------------------------------------------------------------------
### A quick guide to the formatting machinery.
###
### This is basically a re-implementation of Common Lisp's FORMAT function in
### Python.  It differs in a few respects.
###
###   * Most essentially, Python's object and argument-passing models aren't
###     the same as Lisp's.  In fact, for our purposes, they're a bit better:
###     Python's sharp distinction between positional and keyword arguments
###     is often extremely annoying, but here they become a clear benefit.
###     Inspired by Python's own enhanced string-formatting machinery (the
###     new `str.format' method, and `string.Formatting' class, we provide
###     additional syntax to access keyword arguments by name, positional
###     arguments by position (without moving the cursor as manipulated by
###     `~*'), and for selecting individual elements of arguments by indexing
###     or attribute lookup.
###
###   * Unfortunately, Python's I/O subsystem is much less rich than Lisp's.
###     We lack streams which remember their cursor position, and so can't
###     implmenent the `?&' (fresh line) or `~T' (horizontal tab) operators
###     usefully.  Moreover, the Python pretty-printer is rather less well
###     developed than the XP-based Lisp pretty-printer, so the pretty-
###     printing operations are unlikely to be implemented any time soon.
###
###   * This implementation is missing a number of formatting directives just
###     because they're somewhat tedious to write, such as the detailed
###     floating-point printing provided by `~E', `~F' and `~G'.  These might
###     appear in time.
###
### Formatting takes place in two separable stages.  First, a format string
### is compiled into a formatting operation.  Then, the formatting operation
### can be applied to sets of arguments.  State for these two stages is
### maintained in fluid variable sets `COMPILE' and `FORMAT'.
###
### There are a number of protocols involved in making all of this work.
### They're described in detail as we come across them, but here's an
### overview.
###
###   * Output is determined by formatting-operation objects, typically (but
###     not necessarily) subclasses of `BaseFormatOperation'.  A format
###     string is compiled into a single compound formatting operation.
###
###   * Formatting operations determine what to output from their own
###     internal state and from formatting arguments.  The latter are
###     collected from argument-collection objects which are subclasses of
###     `BaseArg'.
###
###   * Formatting operations can be modified using parameters, which are
###     supplied either through the format string or from arguments.  To
###     abstract over this distinction, parameters are collected from
###     parameter-collection objects which are subclasses of `BaseParameter'.

FORMAT = U.Fluid()
## State for format-time processing.  The base state is established by the
## `format' function, though various formatting operations will rebind
## portions of the state while they perform recursive processing.  The
## variables are as follows.
##
## argmap       The map (typically a dictionary) of keyword arguments to be
##              formatted.  These can be accessed only though `=KEY' or
##              `!KEY' syntax.
##
## argpos       The index of the next positional argument to be collected.
##              The `~*' directive works by setting this variable.
##
## argseq       The sequence (typically a list) of positional arguments to be
##              formatted.  These are collected in order (as modified by the
##              `~*' directive), or may be accessed through `=INDEX' or
##              `!INDEX' syntax.
##
## escape       An escape procedure (i.e., usually created by `Escape()') to
##              be called by `~^'.
##
## last_multi_p A boolean, indicating that there are no more lists of
##              arguments (e.g., from `~:{...~}'), so `~:^' should escape if
##              it is encountered.
##
## multi_escape An escape procedure (i.e., usually created by `Escape()') to
##              be called by `~:^'.
##
## pushback     Some formatting operations, notably `~@[...~]', read
##              arguments without consuming them, so a subsequent operation
##              should collect the same argument.  This works by pushing the
##              arguments onto the `pushback' list.
##
## write        A function which writes its single string argument to the
##              current output.

COMPILE = U.Fluid()
## State for compile-time processing.  The base state is established by the
## `compile' function, though some formatting operations will rebind portions
## of the state while they perform recursive processing.  The variables are
## as follows.
##
## control      The control string being parsed.
##
## delim        An iterable (usually a string) of delimiter directives.  See
##              the `FormatDelimeter' class and the `collect_subformat'
##              function for details of this.
##
## end          The end of the portion of the control string being parsed.
##              There might be more of the string, but we should pretend that
##              it doesn't exist.
##
## opmaps       A list of operation maps, i.e., dictionaries mapping
##              formatting directive characters to the corresponding
##              formatting operation classes.  The list is searched in order,
##              and the first match is used.  This can be used to provide
##              local extensions to the formatting language.
##
## start        The current position in the control string.  This is advanced
##              as pieces of the string are successfully parsed.

###--------------------------------------------------------------------------
### A few random utilities.

def remaining():
  """
  Return the number of positional arguments remaining.

  This will /include/ pushed-back arguments, so this needn't be monotonic
  even in the absence of `~*' repositioning.
  """
  return len(FORMAT.pushback) + len(FORMAT.argseq) - FORMAT.argpos

@CTX.contextmanager
def bind_args(args, **kw):
  """
  Context manager: temporarily establish a different collection of arguments.

  If the ARGS have a `keys' attribute, then they're assumed to be a mapping
  object and are set as the keyword arguments, preserving the positional
  arguments; otherwise, the positional arguments are set and the keyword
  arguments are preserved.

  Other keyword arguments to this function are treated as additional `FORMAT'
  variables to be bound.
  """
  if hasattr(args, 'keys'):
    with FORMAT.bind(argmap = args, **kw): yield
  else:
    with FORMAT.bind(argseq = args, argpos = 0, pushback = [], **kw): yield

## Some regular expressions for parsing things.
R_INT = RX.compile(r'[-+]?[0-9]+')
R_WORD = RX.compile(r'[_a-zA-Z][_a-zA-Z0-9]*')

###--------------------------------------------------------------------------
### Format string errors.

class FormatStringError (Exception):
  """
  An exception type for reporting errors in format control strings.

  Its most useful feature is that it points out where the error is in a
  vaguely useful way.  Attributes are as follows.

  control       The offending format control string.

  msg           The error message, as a human-readable string.

  pos           The position at which the error was discovered.  This might
                be a little way from the actual problem, but it's usually
                good enough.
  """

  def __init__(me, msg, control, pos):
    """
    Construct the exception, given a message MSG, a format CONTROL string,
    and the position POS at which the error was found.
    """
    me.msg = msg
    me.control = control
    me.pos = pos

  def __str__(me):
    """
    Present a string explaining the problem, including a dump of the
    offending portion of the string.
    """
    s = me.control.rfind('\n', 0, me.pos) + 1
    e = me.control.find('\n', me.pos)
    if e < 0: e = len(me.control)
    return '%s\n        %s\n        %*s^\n' % \
        (me.msg, me.control[s:e], me.pos - s, '')

def format_string_error(msg):
  """Report an error in the current format string."""
  raise FormatStringError(msg, COMPILE.control, COMPILE.start)

###--------------------------------------------------------------------------
### Argument collection protocol.

## Argument collectors abstract away the details of collecting formatting
## arguments.  They're used both for collecting arguments to be output, and
## for parameters designated using the `v' or `!ARG' syntaxes.
##
## There are a small number of primitive collectors, and some `compound
## collectors' which read an argument using some other collector, and then
## process it in some way.
##
## An argument collector should implement the following methods.
##
## get()        Return the argument variable.
##
## pair()       Return a pair of arguments.
##
## tostr(FORCEP)
##              Return a string representation of the collector.  If FORCEP,
##              always return a string; otherwise, a `NextArg' collector
##              returns `None' to indicate that no syntax is required to
##              select it.

class BaseArg (object):
  """
  Base class for argument collectors.

  This implements the `pair' method by calling `get' and hoping that the
  corresponding argument is indeed a sequence of two items.
  """

  def __init__(me):
    """Trivial constructor."""
    pass

  def pair(me):
    """
    Return a pair of arguments, by returning an argument which is a pair.
    """
    return me.get()

  def __repr__(me):
    """Print a useful string representation of the collector."""
    return '#<%s "=%s">' % (type(me).__name__, me.tostr(True))

class NextArg (BaseArg):
  """The default argument collector."""

  def get(me):
    """
    Return the next argument.

    If there are pushed-back arguments, then return the one most recently
    pushed back.  Otherwise, return the next argument from `argseq',
    advancing `argpos'.
    """
    if FORMAT.pushback: return FORMAT.pushback.pop()
    i = FORMAT.argpos
    a = FORMAT.argseq[i]
    FORMAT.argpos = i + 1
    return a

  def pair(me):
    """Return a pair of arguments, by fetching two separate arguments."""
    left = me.get()
    right = me.get()
    return left, right

  def tostr(me, forcep):
    """Convert the default collector to a string."""
    if forcep: return '+'
    else: return None

NEXTARG = NextArg()
## Because a `NextArg' collectors are used so commonly, and they're all the
## same, we make a distinguished one and try to use that instead.  Nothing
## goes badly wrong if you don't use this, but you'll use more memory than
## strictly necessary.

class ThisArg (BaseArg):
  """Return the current positional argument without consuming it."""
  def _get(me, i):
    """Return the positional argument I on from the current position."""
    n = len(FORMAT.pushback)
    if n > i: return FORMAT.pushback[n - i - 1]
    else: return FORMAT.argseq[FORMAT.argpos + i - n]
  def get(me):
    """Return the next argument."""
    return me._get(0)
  def pair(me):
    """Return the next two arguments without consuming either."""
    return me._get(0), me._get(1)
  def tostr(me, forcep):
    """Convert the colector to a string."""
    return '@'

THISARG = ThisArg()

class SeqArg (BaseArg):
  """
  A primitive collector which picks out the positional argument at a specific
  index.
  """
  def __init__(me, index): me.index = index
  def get(me): return FORMAT.argseq[me.index]
  def tostr(me, forcep): return '%d' % me.index

class MapArg (BaseArg):
  """
  A primitive collector which picks out the keyword argument with a specific
  key.
  """
  def __init__(me, key): me.key = key
  def get(me): return FORMAT.argmap[me.key]
  def tostr(me, forcep): return '%s' % me.key

class IndexArg (BaseArg):
  """
  A compound collector which indexes an argument.
  """
  def __init__(me, base, index):
    me.base = base
    me.index = index
  def get(me):
    return me.base.get()[me.index]
  def tostr(me, forcep):
    return '%s[%s]' % (me.base.tostr(True), me.index)

class AttrArg (BaseArg):
  """
  A compound collector which returns an attribute of an argument.
  """
  def __init__(me, base, attr):
    me.base = base
    me.attr = attr
  def get(me):
    return getattr(me.base.get(), me.attr)
  def tostr(me, forcep):
    return '%s.%s' % (me.base.tostr(True), me.attr)

## Regular expression matching compound-argument suffixes.
R_REF = RX.compile(r'''
        \[ ( [-+]? [0-9]+ ) \]
      | \[ ( [^]]* ) \]
      | \. ( [_a-zA-Z] [_a-zA-Z0-9]* )
''', RX.VERBOSE)

def parse_arg():
  """
  Parse an argument collector from the current format control string.

  The syntax of an argument is as follows.

  ARG ::= COMPOUND-ARG | `{' COMPOUND-ARG `}'

  COMPOUND-ARG ::= SIMPLE-ARG
        | COMPOUND-ARG `[' INDEX `]'
        | COMPOUND-ARG `.' WORD

  SIMPLE-ARG ::= INT | WORD | `+' | `@'

  Surrounding braces mean nothing, but may serve to separate the argument
  from a following alphabetic formatting directive.

  A `+' means `the next pushed-back or positional argument'.  It's useful to
  be able to say this explicitly so that indexing and attribute references
  can be attached to it: for example, in `~={thing}@[~={+.attr}A~]'.
  Similarly, `@' designates the same argument, except that it is not
  consumed.

  An integer argument selects the positional argument with that index; a
  negative index counts backwards from the end, as is usual in Python.

  A word argument selects the keyword argument with that key.
  """

  c = COMPILE.control
  s, e = COMPILE.start, COMPILE.end

  ## If it's delimited then pick through the delimiter.
  brace = None
  if s < e and c[s] == '{':
    brace = '}'
    s += 1

  ## Make sure there's something to look at.
  if s >= e: raise FormatStringError('missing argument specifier', c, s)

  ## Find the start of the breadcrumbs.
  if c[s] == '+':
    getarg = NEXTARG
    s += 1
  if c[s] == '@':
    getarg = THISARG
    s += 1
  elif c[s].isdigit():
    m = R_INT.match(c, s, e)
    getarg = SeqArg(int(m.group()))
    s = m.end()
  else:
    m = R_WORD.match(c, s, e)
    if not m: raise FormatStringError('unknown argument specifier', c, s)
    getarg = MapArg(m.group())
    s = m.end()

  ## Now parse indices and attribute references.
  while True:
    m = R_REF.match(c, s, e)
    if not m: break
    if m.group(1): getarg = IndexArg(getarg, int(m.group(1)))
    elif m.group(2): getarg = IndexArg(getarg, m.group(2))
    elif m.group(3): getarg = AttrArg(getarg, m.group(3))
    else: raise FormatStringError('internal error (weird ref)', c, s)
    s = m.end()

  ## Finally, check that we have the close delimiter we want.
  if brace:
    if s >= e or c[s] != brace:
      raise FormatStringError('missing close brace', c, s)
    s += 1

  ## Done.
  COMPILE.start = s
  return getarg

###--------------------------------------------------------------------------
### Parameter collectors.

## These are pretty similar in shape to argument collectors.  The required
## methods are as follows.
##
## get()        Return the parameter value.
##
## tostr()      Return a string representation of the collector.  (We don't
##              need a FORCEP argument here, because there are no default
##              parameters.)

class BaseParameter (object):
  """
  Base class for parameter collector objects.

  This isn't currently very useful, because all it provides is `__repr__',
  but the protocol might get more complicated later.
  """
  def __init__(me): pass
  def __repr__(me): return '#<%s "%s">' % (type(me).__name__, me.tostr())

class LiteralParameter (BaseParameter):
  """
  A literal parameter, parsed from the control string.
  """
  def __init__(me, lit): me.lit = lit
  def get(me): return me.lit
  def tostr(me):
    if me.lit is None: return ''
    elif isinstance(me.lit, (int, long)): return str(me.lit)
    else: return "'%c" % me.lit

## Many parameters are omitted, so let's just reuse a distinguished collector
## for them.
LITNONE = LiteralParameter(None)

class RemainingParameter (BaseParameter):
  """
  A parameter which collects the number of remaining positional arguments.
  """
  def get(me): return remaining()
  def tostr(me): return '#'

## These are all the same, so let's just have one of them.
REMAIN = RemainingParameter()

class VariableParameter (BaseParameter):
  """
  A variable parameter, fetched from an argument.
  """
  def __init__(me, arg): me.arg = arg
  def get(me): return me.arg.get()
  def tostr(me):
    s = me.arg.tostr(False)
    if not s: return 'V'
    else: return '!' + s
VARNEXT = VariableParameter(NEXTARG)

###--------------------------------------------------------------------------
### Formatting protocol.

## The formatting operation protocol is pretty straightforward.  An operation
## must implement a method `format' which takes no arguments, and should
## produce its output (if any) by calling `FORMAT.write'.  In the course of
## its execution, it may collect parameters and arguments.
##
## The `opmaps' table maps formatting directives (which are individual
## characters, in upper-case for letters) to functions returning formatting
## operation objects.  All of the directives are implemented in this way.
## The functions for the base directives are actually the (callable) class
## objects for subclasses of `BaseFormatOperation', though this isn't
## necessary.
##
## The constructor functions are called as follows:
##
## FUNC(ATP, COLONP, GETARG, PARAMS, CHAR)
##      The ATP and COLONP arguments are booleans indicating respectively
##      whether the `@' and `:' modifiers were set in the control string.
##      GETARG is the collector for the operation's argument(s).  The PARAMS
##      are a list of parameter collectors.  Finally, CHAR is the directive
##      character (so directives with siilar behaviour can use the same
##      class).

class FormatLiteral (object):
  """
  A special formatting operation for printing literal text.
  """
  def __init__(me, s): me.s = s
  def __repr__(me): return '#<%s %r>' % (type(me).__name__, me.s)
  def format(me): FORMAT.write(me.s)

class FormatSequence (object):
  """
  A special formatting operation for applying collection of other operations
  in sequence.
  """
  def __init__(me, seq):
    me.seq = seq
  def __repr__(me):
    return '#<%s [%s]>' % (type(me).__name__,
                           ', '.join(repr(p) for p in me.seq))
  def format(me):
    for p in me.seq: p.format()

class BaseFormatOperation (object):
  """
  The base class for built-in formatting operations (and, probably, most
  extensions).

  Subclasses should implement a `_format' method.

  _format(ATP, COLONP, [PARAM = DEFAULT, ...])
                Called to produce output.  The ATP and COLONP flags are from
                the constructor.  The remaining function arguments are the
                computed parameter values.  Arguments may be collected using
                the `getarg' attribute.

  Subclasses can set class attributes to influence the constructor.

  MINPARAM      The minimal number of parameters acceptable.  If fewer
                parameters are supplied then an error is reported at compile
                time.  The default is zero.

  MAXPARAM      The maximal number of parameters acceptable.  If more
                parameters are supplied then an error is reported at compile
                time.  The default is zero; `None' means that there is no
                maximum (but this is unusual).

  Instances have a number of useful attributes.

  atp           True if an `@' modifier appeared in the directive.

  char          The directive character from the control string.

  colonp        True if a `:' modifier appeared in the directive.

  getarg        Argument collector; may be called by `_format'.

  params        A list of parameter collector objects.
  """

  ## Default bounds on parameters.
  MINPARAM = MAXPARAM = 0

  def __init__(me, atp, colonp, getarg, params, char):
    """
    Constructor: store information about the directive, and check the bounds
    on the parameters.

    A subclass should call this before doing anything fancy such as parsing
    the control string further.
    """

    ## Store information.
    me.atp = atp
    me.colonp = colonp
    me.getarg = getarg
    me.params = params
    me.char = char

    ## Check the parameters.
    bad = False
    if len(params) < me.MINPARAM: bad = True
    elif me.MAXPARAM is not None and len(params) > me.MAXPARAM: bad = True
    if bad:
      format_string_error('bad parameters')

  def format(me):
    """Produce output: call the subclass's formatting function."""
    me._format(me.atp, me.colonp, *[p.get() for p in me.params])

  def tostr(me):
    """Convert the operation to a directive string."""
    return '~%s%s%s%s%s' % (
      ','.join(a.tostr() for a in me.params),
      me.colonp and ':' or '',
      me.atp and '@' or '',
      (lambda s: s and '={%s}' % s or '')(me.getarg.tostr(False)),
      me.char)

  def __repr__(me):
    """Produce a readable (ahem) version of the directive."""
    return '#<%s "%s">' % (type(me).__name__, me.tostr())

class FormatDelimiter (BaseFormatOperation):
  """
  A fake formatting operation which exists to impose additional syntactic
  structure on control strings.

  No `_format' method is actually defined, so `FormatDelimiter' objects
  should never find their way into the output pipeline.  Instead, they are
  typically useful in conjunction with the `collect_subformat' function.  To
  this end, the constructor will fail if its directive character is not in
  listed as an expected delimiter in `CONTROL.delim'.
  """

  def __init__(me, *args):
    """
    Constructor: make sure this delimiter is expected in the current context.
    """
    super(FormatDelimiter, me).__init__(*args)
    if me.char not in COMPILE.delim:
      format_string_error("unexpected close delimiter `~%s'" % me.char)

###--------------------------------------------------------------------------
### Parsing format strings.

def parse_operator():
  """
  Parse the next portion of the current control string and return a single
  formatting operator for it.

  If we have reached the end of the control string (as stored in
  `CONTROL.end') then return `None'.
  """

  c = COMPILE.control
  s, e = COMPILE.start, COMPILE.end

  ## If we're at the end then stop.
  if s >= e: return None

  ## If there's some literal text then collect it.
  if c[s] != '~':
    i = c.find('~', s, e)
    if i < 0: i = e
    COMPILE.start = i
    return FormatLiteral(c[s:i])

  ## Otherwise there's a formatting directive to collect.
  s += 1

  ## First, collect arguments.
  aa = []
  while True:
    if s >= e: break
    if c[s] == ',':
      aa.append(LITNONE)
      s += 1
      continue
    elif c[s] == "'":
      s += 1
      if s >= e: raise FormatStringError('missing argument character', c, s)
      aa.append(LiteralParameter(c[s]))
      s += 1
    elif c[s].upper() == 'V':
      s += 1
      aa.append(VARNEXT)
    elif c[s] == '!':
      COMPILE.start = s + 1
      getarg = parse_arg()
      s = COMPILE.start
      aa.append(VariableParameter(getarg))
    elif c[s] == '#':
      s += 1
      aa.append(REMAIN)
    else:
      m = R_INT.match(c, s, e)
      if not m: break
      aa.append(LiteralParameter(int(m.group())))
      s = m.end()
    if s >= e or c[s] != ',': break
    s += 1

  ## Maybe there's an explicit argument.
  if s < e and c[s] == '=':
    COMPILE.start = s + 1
    getarg = parse_arg()
    s = COMPILE.start
  else:
    getarg = NEXTARG

  ## Next, collect the flags.
  atp = colonp = False
  while True:
    if s >= e:
      break
    elif c[s] == '@':
      if atp: raise FormatStringError('duplicate at flag', c, s)
      atp = True
    elif c[s] == ':':
      if colonp: raise FormatStringError('duplicate colon flag', c, s)
      colonp = True
    else:
      break
    s += 1

  ## We should now have a directive character.
  if s >= e: raise FormatStringError('missing directive', c, s)
  ch = c[s].upper()
  op = None
  for map in COMPILE.opmaps:
    try: op = map[ch]
    except KeyError: pass
    else: break
  else:
    raise FormatStringError('unknown directive', c, s)
  s += 1

  ## Done.
  COMPILE.start = s
  return op(atp, colonp, getarg, aa, ch)

def collect_subformat(delim):
  """
  Parse formatting operations from the control string until we find one whose
  directive character is listed in DELIM.

  Where an operation accepts multiple sequences of formatting directives, the
  first element of DELIM should be the proper closing delimiter.  The
  traditional separator is `~;'.
  """
  pp = []
  with COMPILE.bind(delim = delim):
    while True:
      p = parse_operator()
      if not p:
        format_string_error("missing close delimiter `~%s'" % delim[0])
      if isinstance(p, FormatDelimiter) and p.char in delim: break
      pp.append(p)
  return FormatSequence(pp), p

def compile(control):
  """
  Parse the whole CONTROL string, returning the corresponding formatting
  operator.

  A format control string consists of formatting directives, introduced by
  the `~' character, and literal text.  Literal text is simply output as-is.
  Formatting directives may read /arguments/ which are provided as additional
  inputs to the `format' function, and are typically items to be written to
  the output in some form, and /parameters/, which control the formatting of
  the arguments, and may be supplied in the control string, or themselves
  read from arguments.  A directive may also carry up to two flags, `@' and
  `:'.

  The effects of the directive are determined by the corresponding formatting
  operation, an object found by looking up the directive's identifying
  character in `COMPILE.opmaps', which is a list of dictionaries.  The
  character is converted to upper-case (if it is alphabetic), and then the
  dictionaries are examined in order: the first match found wins.  See the
  description of the `Formatting protocol' for details of how formatting
  operations work.

  A formatting directive has the following syntax.

  DIRECTIVE ::= `~' [PARAMS] [`=' ARG] FLAGS CHAR

  PARAMS ::= PARAM [`,' PARAMS]

  PARAM ::= EMPTY | INT | `'' CHAR | `v' | `!' ARG

  FLAGS ::= [[ `@' | `:' ]]*

  (The useful but unusual notation [[ X | Y | ... ]]* denotes a sequence of
  items drawn from the listed alternatives, each appearing at most once.  See
  the function `parse_arg' for the syntax of ARG.)

  An empty PARAM is equivalent to omitting the parameter; `!ARG' reads the
  parameter value from the argument; `v' is equivalent to `!+', as a
  convenient abbreviation and for Common Lisp compatibility.  The `=ARG'
  notation indicates which argument(s) should be processed by the operation:
  the default is `=+'.
  """
  if not isinstance(control, basestring): return control
  pp = []
  with COMPILE.bind(control = control, start = 0, end = len(control),
                    delim = ''):
    while True:
      p = parse_operator()
      if not p: break
      pp.append(p)
  return FormatSequence(pp)

###--------------------------------------------------------------------------
### Formatting text.

def format(out, control, *args, **kw):
  """
  Format the positional args and keywords according to the CONTROL, and write
  the result to OUT.

  The output is written to OUT, which may be one of the following.

  `True'        Write to standard output.

  `False'       Write to standard error.

  `None'        Return the output as a string.

  Any object with a `write' attribute
                Call `write' repeatedly with strings to be output.

  Any callable object
                Call the object repeatedly with strings to be output.

  The CONTROL argument may be one of the following.

  A string or unicode object
                Compile the string into a formatting operation and use that.

  A formatting operation
                Apply the operation to the arguments.
  """

  ## Turn the output argument into a function which we can use easily.  If
  ## we're writing to a string, we'll have to extract the result at the end,
  ## so keep track of anything we have to do later.
  final = U.constantly(None)
  if out is True:
    write = SYS.stdout.write
  elif out is False:
    write = SYS.stderr.write
  elif out is None:
    strio = StringIO()
    write = strio.write
    final = strio.getvalue
  elif hasattr(out, 'write'):
    write = out.write
  elif callable(out):
    write = out
  else:
    raise TypeError, out

  ## Turn the control argument into a formatting operation.
  op = compile(control)

  ## Invoke the formatting operation in the correct environment.
  with FORMAT.bind(write = write, pushback = [],
                   argseq = args, argpos = 0,
                   argmap = kw):
    op.format()

  ## Done.
  return final()

###--------------------------------------------------------------------------
### Standard formatting directives.

## A dictionary, in which we'll build the basic set of formatting operators.
## Callers wishing to implement extensions should include this in their
## `opmaps' lists.
BASEOPS = {}
COMPILE.opmaps = [BASEOPS]

## Some standard delimiter directives.
for i in [']', ')', '}', '>', ';']: BASEOPS[i] = FormatDelimiter

class SimpleFormatOperation (BaseFormatOperation):
  """
  Common base class for the `~A' (`str') and `~S' (`repr') directives.

  These take similar parameters, so it's useful to deal with them at the same
  time.  Subclasses should implement a method `_convert' of one argument,
  which returns a string to be formatted.

  The parameters are as follows.

  MINCOL        The minimum number of characters to output.  Padding is added
                if the output string is shorter than this.

  COLINC        Lengths of padding groups.  The number of padding characters
                will be MINPAD more than a multiple of COLINC.

  MINPAD        The smallest number of padding characters to write.

  PADCHAR       The padding character.

  If the `@' modifier is given, then padding is applied on the left;
  otherwise it is applied on the right.
  """

  MAXPARAM = 4

  def _format(me, atp, colonp,
              mincol = 0, colinc = 1, minpad = 0, padchar = ' '):
    what = me._convert(me.getarg.get())
    n = len(what)
    p = mincol - n - minpad + colinc - 1
    p -= p%colinc
    if p < 0: p = 0
    p += minpad
    if p <= 0: pass
    elif atp: what = (p * padchar) + what
    else: what = what + (p * padchar)
    FORMAT.write(what)

class FormatString (SimpleFormatOperation):
  """~A: convert argument to a string."""
  def _convert(me, arg): return str(arg)
BASEOPS['A'] = FormatString

class FormatRepr (SimpleFormatOperation):
  """~S: convert argument to readable form."""
  def _convert(me, arg): return repr(arg)
BASEOPS['S'] = FormatRepr

class IntegerFormat (BaseFormatOperation):
  """
  Common base class for the integer formatting directives `~D', `~B', `~O~,
  `~X', and `~R'.

  These take similar parameters, so it's useful to deal with them at the same
  time.  There is a `_convert' method which does the main work.  By default,
  `_format' calls this with the argument and the value of the class attribute
  `RADIX'; complicated subclasses might want to override this behaviour.

  The parameters are as follows.

  MINCOL        Minimum column width.  If the output is smaller than this
                then it will be padded on the left.  The default is 0.

  PADCHAR       Character to use to pad the output, should this be necessary.
                The default is space.

  COMMACHAR     If the `:' modifier is present, then use this character to
                separate groups of digits.  The default is `,'.

  COMMAINTERVAL If the `:' modifier is present, then separate groups of this
                many digits.  The default is 3.

  If `@' is present, then a sign is always written; otherwise only `-' signs
  are written.
  """

  MAXPARAM = 4

  def _convert(me, n, radix, atp, colonp,
               mincol = 0, padchar = ' ',
               commachar = ',', commainterval = 3):
    """
    Convert the integer N into the given RADIX, under the control of the
    formatting parameters supplied.
    """

    ## Sort out the sign.  We'll deal with it at the end: for now it's just a
    ## distraction.
    if n < 0: sign = '-'; n = -n
    elif atp: sign = '+'
    else: sign = None

    ## Build in `dd' a list of the digits, in reverse order.  This will make
    ## the commafication easier later.  The general radix conversion is
    ## inefficient but we can make that better later.
    def revdigits(s):
      l = list(s)
      l.reverse()
      return l
    if radix == 10: dd = revdigits(str(n))
    elif radix == 8: dd = revdigits(oct(n))
    elif radix == 16: dd = revdigits(hex(n).upper())
    else:
      dd = []
      while n:
        q, r = divmod(n, radix)
        if r < 10: ch = asc(ord('0') + r)
        elif r < 36: ch = asc(ord('A') - 10 + r)
        else: ch = asc(ord('a') - 36 + r)
        dd.append(ch)
      if not dd: dd.append('0')

    ## If we must commafy then do that.
    if colonp:
      ndd = []
      i = 0
      for d in dd:
        if i >= commainterval: ndd.append(commachar); i = 0
        ndd.append(d)
      dd = ndd

    ## Include the sign.
    if sign: dd.append(sign)

    ## Maybe we must pad the result.
    s = ''.join(reversed(dd))
    npad = mincol - len(s)
    if npad > 0: s = npad*padchar + s

    ## And we're done.
    FORMAT.write(s)

  def _format(me, atp, colonp, mincol = 0, padchar = ' ',
              commachar = ',', commainterval = 3):
    me._convert(me.getarg.get(), me.RADIX, atp, colonp, mincol, padchar,
                commachar, commainterval)

class FormatDecimal (IntegerFormat):
  """~D: Decimal formatting."""
  RADIX = 10
BASEOPS['D'] = FormatDecimal

class FormatBinary (IntegerFormat):
  """~B: Binary formatting."""
  RADIX = 2
BASEOPS['B'] = FormatBinary

class FormatOctal (IntegerFormat):
  """~O: Octal formatting."""
  RADIX = 8
BASEOPS['O'] = FormatOctal

class FormatHex (IntegerFormat):
  """~X: Hexadecimal formatting."""
  RADIX = 16
BASEOPS['X'] = FormatHex

class FormatRadix (IntegerFormat):
  """~R: General integer formatting."""
  MAXPARAM = 5
  def _format(me, atp, colonp, radix = None, mincol = 0, padchar = ' ',
              commachar = ',', commainterval = 3):
    if radix is None:
      raise ValueError, 'Not implemented'
    me._convert(me.getarg.get(), radix, atp, colonp, mincol, padchar,
                commachar, commainterval)
BASEOPS['R'] = FormatRadix

class FormatSuppressNewline (BaseFormatOperation):
  """
  ~newline: suppressed newline and/or spaces.

  Unless the `@' modifier is present, don't print the newline.  Unless the
  `:' modifier is present, don't print the following string of whitespace
  characters either.
  """
  R_SPACE = RX.compile(r'\s*')
  def __init__(me, *args):
    super(FormatSuppressNewline, me).__init__(*args)
    m = me.R_SPACE.match(COMPILE.control, COMPILE.start, COMPILE.end)
    me.trail = m.group()
    COMPILE.start = m.end()
  def _format(me, atp, colonp):
    if atp: FORMAT.write('\n')
    if colonp: FORMAT.write(me.trail)
BASEOPS['\n'] = FormatSuppressNewline

class LiteralFormat (BaseFormatOperation):
  """
  A base class for formatting operations which write fixed strings.

  Subclasses should have an attribute `CHAR' containing the string (usually a
  single character) to be written.

  These operations accept a single parameter:

  COUNT         The number of copies of the string to be written.
  """
  MAXPARAM = 1
  def _format(me, atp, colonp, count = 1):
    FORMAT.write(count * me.CHAR)

class FormatNewline (LiteralFormat):
  """~%: Start a new line."""
  CHAR = '\n'
BASEOPS['%'] = FormatNewline

class FormatTilde (LiteralFormat):
  """~~: Print a literal `@'."""
  CHAR = '~'
BASEOPS['~'] = FormatTilde

class FormatCaseConvert (BaseFormatOperation):
  """
  ~(...~): Case-convert the contained output.

  The material output by the contained directives is subject to case
  conversion as follows.

  no modifiers  Convert to lower-case.
  @             Make initial letter upper-case and remainder lower.
  :             Make initial letters of words upper-case.
  @:            Convert to upper-case.
  """
  def __init__(me, *args):
    super(FormatCaseConvert, me).__init__(*args)
    me.sub, _ = collect_subformat(')')
  def _format(me, atp, colonp):
    strio = StringIO()
    try:
      with FORMAT.bind(write = strio.write):
        me.sub.format()
    finally:
      inner = strio.getvalue()
      if atp:
        if colonp: out = inner.upper()
        else: out = inner.capitalize()
      else:
        if colonp: out = inner.title()
        else: out = inner.lower()
      FORMAT.write(out)
BASEOPS['('] = FormatCaseConvert

class FormatGoto (BaseFormatOperation):
  """
  ~*: Seek in positional arguments.

  There may be a parameter N; the default value depends on which modifiers
  are present.  Without `@', skip forwards or backwards by N (default
  1) places; with `@', move to argument N (default 0).  With `:', negate N,
  so move backwards instead of forwards, or count from the end rather than
  the beginning.  (Exception: `~@:0*' leaves no arguments remaining, whereas
  `~@-0*' is the same as `~@0*', and starts again from the beginning.

  BUG: The list of pushed-back arguments is cleared.
  """
  MAXPARAM = 1
  def _format(me, atp, colonp, n = None):
    if atp:
      if n is None: n = 0
      if colonp:
        if n > 0: n = -n
        else: n = len(FORMAT.argseq)
      if n < 0: n += len(FORMAT.argseq)
    else:
      if n is None: n = 1
      if colonp: n = -n
      n += FORMAT.argpos
    FORMAT.argpos = n
    FORMAT.pushback = []
BASEOPS['*'] = FormatGoto

class FormatConditional (BaseFormatOperation):
  """
  ~[...[~;...]...[~:;...]~]: Conditional formatting.

  There are three variants, which are best dealt with separately.

  With no modifiers, apply the Nth enclosed piece, where N is either the
  parameter, or the argument if no parameter is provided.  If there is no
  such piece (i.e., N is negative or too large) and the final piece is
  introduced by `~:;' then use that piece; otherwise produce no output.

  With `:', there must be exactly two pieces: apply the first if the argument
  is false, otherwise the second.

  With `@', there must be exactly one piece: if the argument is not `None'
  then push it back and apply the enclosed piece.
  """

  MAXPARAM = 1

  def __init__(me, *args):

    ## Store the arguments.
    super(FormatConditional, me).__init__(*args)

    ## Collect the pieces, and keep track of whether there's a default piece.
    pieces = []
    default = None
    nextdef = False
    while True:
      piece, delim = collect_subformat('];')
      if nextdef: default = piece
      else: pieces.append(piece)
      if delim.char == ']': break
      if delim.colonp:
        if default: format_string_error('multiple defaults')
        nextdef = True

    ## Make sure the syntax matches the modifiers we've been given.
    if (me.colonp or me.atp) and default:
      format_string_error('default not allowed here')
    if (me.colonp and len(pieces) != 2) or \
          (me.atp and len(pieces) != 1):
      format_string_error('wrong number of pieces')

    ## Store stuff.
    me.pieces = pieces
    me.default = default

  def _format(me, atp, colonp, n = None):
    if colonp:
      arg = me.getarg.get()
      if arg: me.pieces[1].format()
      else: me.pieces[0].format()
    elif atp:
      arg = me.getarg.get()
      if arg is not None:
        FORMAT.pushback.append(arg)
        me.pieces[0].format()
    else:
      if n is None: n = me.getarg.get()
      if 0 <= n < len(me.pieces): piece = me.pieces[n]
      else: piece = me.default
      if piece: piece.format()
BASEOPS['['] = FormatConditional

class FormatIteration (BaseFormatOperation):
  """
  ~{...~}: Repeated formatting.

  Repeatedly apply the enclosed formatting directives to a sequence of
  different arguments.  The directives may contain `~^' to escape early.

  Without `@', an argument is fetched and is expected to be a sequence; with
  `@', the remaining positional arguments are processed.

  Without `:', the enclosed directives are simply applied until the sequence
  of arguments is exhausted: each iteration may consume any number of
  arguments (even zero, though this is likely a bad plan) and any left over
  are available to the next iteration.  With `:', each element of the
  sequence of arguments is itself treated as a collection of arguments --
  either positional or keyword depending on whether it looks like a map --
  and exactly one such element is consumed in each iteration.

  If a parameter is supplied then perform at most this many iterations.  If
  the closing delimeter bears a `:' modifier, and the parameter is not zero,
  then the enclosed directives are applied once even if the argument sequence
  is empty.

  If the formatting directives are empty then a formatting control is fetched
  using the argument collector associated with the closing delimiter.
  """

  MAXPARAM = 1

  def __init__(me, *args):
    super(FormatIteration, me).__init__(*args)
    me.body, me.end = collect_subformat('}')

  def _multi(me, body):
    """
    Treat the positional arguments as a sequence of argument sets to be
    processed.
    """
    args = NEXTARG.get()
    with U.Escape() as esc:
      with bind_args(args, multi_escape = FORMAT.escape, escape = esc,
                     last_multi_p = not remaining()):
        body.format()

  def _single(me, body):
    """
    Format arguments from a single argument sequence.
    """
    body.format()

  def _loop(me, each, max):
    """
    Apply the function EACH repeatedly.  Stop if no positional arguments
    remain; if MAX is not `None', then stop after that number of iterations.
    The EACH function is passed a formatting operation representing the body
    to be applied
    """
    if me.body.seq: body = me.body
    else: body = compile(me.end.getarg.get())
    oncep = me.end.colonp
    i = 0
    while True:
      if max is not None and i >= max: break
      if (i > 0 or not oncep) and not remaining(): break
      each(body)
      i += 1

  def _format(me, atp, colonp, max = None):
    if colonp: each = me._multi
    else: each = me._single
    with U.Escape() as esc:
      with FORMAT.bind(escape = esc):
        if atp:
          me._loop(each, max)
        else:
          with bind_args(me.getarg.get()):
            me._loop(each, max)
BASEOPS['{'] = FormatIteration

class FormatEscape (BaseFormatOperation):
  """
  ~^: Escape from iteration.

  Conditionally leave an iteration early.

  There may be up to three parameters: call then X, Y and Z.  If all three
  are present then exit unless Y is between X and Z (inclusive); if two are
  present then exit if X = Y; if only one is present, then exit if X is
  zero.  Obviously these are more useful if at least one of X, Y and Z is
  variable.

  With no parameters, exit if there are no positional arguments remaining.
  With `:', check the number of argument sets (as read by `~:{...~}') rather
  than the number of arguments in the current set, and escape from the entire
  iteration rather than from the processing the current set.
  """
  MAXPARAM = 3
  def _format(me, atp, colonp, x = None, y = None, z = None):
    if z is not None: cond = x <= y <= z
    elif y is not None: cond = x != y
    elif x is not None: cond = x != 0
    elif colonp: cond = not FORMAT.last_multi_p
    else: cond = remaining()
    if cond: return
    if colonp: FORMAT.multi_escape()
    else: FORMAT.escape()
BASEOPS['^'] = FormatEscape

class FormatRecursive (BaseFormatOperation):
  """
  ~?: Recursive formatting.

  Without `@', read a pair of arguments: use the first as a format control,
  and apply it to the arguments extracted from the second (which may be a
  sequence or a map).

  With `@', read a single argument: use it as a format string and apply it to
  the remaining arguments.
  """
  def _format(me, atp, colonp):
    with U.Escape() as esc:
      if atp:
        control = me.getarg.get()
        op = compile(control)
        with FORMAT.bind(escape = esc): op.format()
      else:
        control, args = me.getarg.pair()
        op = compile(control)
        with bind_args(args, escape = esc): op.format()
BASEOPS['?'] = FormatRecursive

###----- That's all, folks --------------------------------------------------