# Source code for joy.utils.stack

    # -*- coding: utf-8 -*-
    #
    #    Copyright © 2014, 2015, 2017 Simon Forman
    #
    #    This file is part of Thun
    #
    #    Thun is free software: you can redistribute it and/or modify
    #    it under the terms of the GNU General Public License as published by
    #    the Free Software Foundation, either version 3 of the License, or
    #    (at your option) any later version.
    #
    #    Thun 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 General Public License for more details.
    #
    #    You should have received a copy of the GNU General Public License
    #    along with Thun.  If not see <http://www.gnu.org/licenses/>.
    #
    '''
    When talking about Joy we use the terms "stack", "quote", "sequence",
    "list", and others to mean the same thing: a simple linear datatype that
    permits certain operations such as iterating and pushing and popping
    values from (at least) one end.

    There is no "Stack" Python class, instead we use the  `cons list`_, a
    venerable two-tuple recursive sequence datastructure, where the
    empty tuple ``()`` is the empty stack and ``(head, rest)`` gives the recursive
    form of a stack with one or more items on it::

        stack := () | (item, stack)

    Putting some numbers onto a stack::

        ()
        (1, ())
        (2, (1, ()))
        (3, (2, (1, ())))
        ...

    Python has very nice "tuple packing and unpacking" in its syntax which
    means we can directly "unpack" the expected arguments to a Joy function.

    For example::

    	def dup((head, tail)):
    		return head, (head, tail)

    We replace the argument "stack" by the expected structure of the stack,
    in this case "(head, tail)", and Python takes care of unpacking the
    incoming tuple and assigning values to the names.  (Note that Python
    syntax doesn't require parentheses around tuples used in expressions
    where they would be redundant.)

    Unfortunately, the Sphinx documentation generator, which is used to generate this
    web page, doesn't handle tuples in the function parameters.  And in Python 3, this
    syntax was removed entirely.  Instead you would have to write::

    	def dup(stack):
    		head, tail = stack
    		return head, (head, tail)

    We have two very simple functions, one to build up a stack from a Python
    iterable and another to iterate through a stack and yield its items
    one-by-one in order.  There are also two functions to generate string representations
    of stacks.  They only differ in that one prints the terms in stack from left-to-right while the other prints from right-to-left.  In both functions *internal stacks* are
    printed left-to-right.  These functions are written to support :doc:`../pretty`.

    .. _cons list: https://en.wikipedia.org/wiki/Cons#Lists

    '''

    from builtins import map
    def list_to_stack(el, stack=()):
    	'''Convert a Python list (or other sequence) to a Joy stack::

    	[1, 2, 3] -> (1, (2, (3, ())))

    	:param list el: A Python list or other sequence (iterators and generators
    			 won't work because ``reverse()`` is called on ``el``.)
    	:param stack stack: A stack, optional, defaults to the empty stack.
    	:rtype: stack

    	'''
    	for item in reversed(el):
    		stack = item, stack
    	return stack

    def iter_stack(stack):
    	'''Iterate through the items on the stack.

    	:param stack stack: A stack.
    	:rtype: iterator
    	'''
    	while stack:
    		item, stack = stack
    		yield item

    def stack_to_string(stack):
    	'''
    	Return a "pretty print" string for a stack.

    	The items are written right-to-left::

    		(top, (second, ...)) -> '... second top'

    	:param stack stack: A stack.
    	:rtype: str
    	'''
    	f = lambda stack: reversed(list(iter_stack(stack)))
    	return _to_string(stack, f)

    def expression_to_string(expression):
    	'''
    	Return a "pretty print" string for a expression.

    	The items are written left-to-right::

    		(top, (second, ...)) -> 'top second ...'

    	:param stack expression: A stack.
    	:rtype: str
    	'''
    	return _to_string(expression, iter_stack)

    def _to_string(stack, f):
    	if not isinstance(stack, tuple): return repr(stack)
    	if not stack: return ''  # shortcut
    	return ' '.join(map(_s, f(stack)))

    _s = lambda s: (
    	'[%s]' % expression_to_string(s) if isinstance(s, tuple)
    	else repr(s)
    	)

    def concat(quote, expression):
    	'''Concatinate quote onto expression.

    	In joy [1 2] [3 4] would become [1 2 3 4].

    	:param stack quote: A stack.
    	:param stack expression: A stack.
    	:raises RuntimeError: if quote is larger than sys.getrecursionlimit().
    	:rtype: stack
    	'''
    	# This is the fastest implementation, but will trigger
    	# RuntimeError: maximum recursion depth exceeded
    	# on quotes longer than sys.getrecursionlimit().

    	return (quote[0], concat(quote[1], expression)) if quote else expression

    	# Original implementation.

    ##  return list_to_stack(list(iter_stack(quote)), expression)

    	# In-lining is slightly faster (and won't break the
    	# recursion limit on long quotes.)

    ##  temp = []
    ##  while quote:
    ##    item, quote = quote
    ##    temp.append(item)
    ##  for item in reversed(temp):
    ##    expression = item, expression
    ##  return expression

    def pick(stack, n):
    	'''
    	Return the nth item on the stack.

    	:param stack stack: A stack.
    	:param int n: An index into the stack.
    	:raises ValueError: if ``n`` is less than zero.
    	:raises IndexError: if ``n`` is equal to or greater than the length of ``stack``.
    	:rtype: whatever
    	'''
    	if n < 0:
    		raise ValueError
    	while True:
    		try:
    			item, stack = stack
    		except ValueError:
    			raise IndexError
    		n -= 1
    		if n < 0:
    			break
    	return item