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madseq.py
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madseq.py
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#! /usr/bin/env python
"""
madseq - MAD-X sequence parser/transformer.
Usage:
madseq.py [-j|-y] [-s <slice>] [<input>] [<output>]
madseq.py (--help | --version)
Options:
-j, --json Use JSON as output format
-y, --yaml Use YAML as output format
-s <slice>, --slice=<slice> Set slicing definition file
-h, --help Show this help
-v, --version Show version information
Madseq is a MAD-X sequence parser and transformation utility. If called with
only a MAD-X input file, it will look for SEQUENCE..ENDSEQUENCE sections in
the file and update the AT=.. values of all elements.
"""
# enforce float division
from __future__ import division
# standard library
from itertools import chain
from functools import partial
import re
from math import ceil
from decimal import Decimal, InvalidOperation
# 3rd-party
from pydicti import odicti, dicti
#----------------------------------------
# meta data
#----------------------------------------
__version__ = 'madseq 0.4.2'
__all__ = [
'Element', 'Sequence', 'Document',
'main'
]
#----------------------------------------
# Utilities
#----------------------------------------
def none_checked(type):
"""Create a simple ``None``-checked constructor."""
def constructor(value):
return None if value is None else type(value)
constructor.cls = type
return constructor
@none_checked
class stri(str):
"""Case insensitive string."""
def __eq__(self, other):
return self.lower() == str(other).lower()
def __ne__(self, other):
return not (self == other)
class Re(object):
"""
Precompiled regular expressions that remembers the expression string.
Inherits from :class:`re.SRE_Pattern` by delegation.
:ivar str s: string expression
:ivar SRE_Pattern r: compiled regex
"""
def __init__(self, *args):
"""Concat the arguments."""
self.s = ''.join(map(str, args))
self.r = re.compile(self.s)
def __str__(self):
"""Return the expression that was used to create the regex."""
return self.s
def __getattr__(self, key):
"""Delegate attribute access to the precompiled regex."""
return getattr(self.r, key)
class regex(object):
"""List of various regular expressions used for parsing MAD-X files."""
#----------------------------------------
# non-grouping expressions:
#----------------------------------------
# numeric int/float expression
number = Re(r'(?:[+\-]?(?:\d+(?:\.\d*)?|\d*\.\d+)(?:[eE][+\-]?\d+)?)')
# plain word identifier
identifier = Re(r'(?:[a-zA-Z][\w\.]*)')
# string with enclosing quotes: "..."
string = Re(r'(?:"[^"]*")')
# MAD-X array type with enclosing curly braces: {...}
array = Re(r'(?:\{[^\}]*\})')
# non-standard type parameter. this expression is very free-form to
# allow arbitrary arithmetic expressions, etc.
thingy = Re(r'(?:[^\s,;!]+)')
# any of the above parameters
param = Re(r'(?:',string,'|',array,'|',thingy,')')
# MAD-X command: name: type, *args;
cmd = Re(r'^\s*(?:(',identifier,r')\s*:)?\s*(',identifier,r')\s*(,.*)?;\s*$')
#----------------------------------------
# grouping expressions
#----------------------------------------
# match single parameter=value argument and create groups:
# (argument, assignment, value)
arg = Re(r',\s*(',identifier,r')\s*(:?=)\s*(',param,')\s*')
# match TEXT!COMMENT and return both parts as groups
comment_split = Re(r'^([^!]*)(!.*)?$')
# match+group a string inside quotes
is_string = Re(r'^\s*(?:"([^"]*)")\s*$')
# match+group an identifier
is_identifier = Re(r'^\s*(',identifier,')\s*$')
#----------------------------------------
# Line model + parsing + formatting
#----------------------------------------
def format_argument(key, value):
"""Format value for MAD-X output including the assignment symbol."""
try:
return key + value.argument
except AttributeError:
if value is None:
return key
return key + '=' + format_value(value)
def format_value(value):
"""Format value for MAD-X output."""
try:
return value.expr
except AttributeError:
if isinstance(value, Decimal):
return str(value.normalize())
elif isinstance(value, str):
return '"' + value + '"'
elif isinstance(value, (float, int)):
return str(value)
elif isinstance(value, (tuple, list)):
return '{' + ','.join(map(format_value, value)) + '}'
else:
raise TypeError("Unknown data type: {0!r}".format(value))
def format_safe(value):
"""
Format as safe token in a arithmetic expression.
This adds braces for composed expressions. For atomic types it is the
same as :func:`format_value`.
"""
try:
return value.safe_expr
except AttributeError:
return format_value(value)
class Value(object):
"""
Base class for some types parsed from MAD-X input parameters.
:ivar value: Actual value. Type depends on the concrete derived class.
:ivar str _assign: Assignment symbol, either ':=' or '='
"""
def __init__(self, value, assign='='):
"""Initialize value."""
self.value = value
self._assign = assign
@property
def argument(self):
"""Format for MAD-X output including assignment symbol"""
return self._assign + self.expr
@property
def expr(self):
"""Get value as string."""
return str(self.value)
@property
def safe_expr(self):
"""Get string that can safely occur inside an arithmetic expression."""
return self.expr
def __str__(self):
"""Return formatted value."""
return self.expr
def __eq__(self, other):
"""Compare the value."""
return other == self.value
@classmethod
def parse(cls, text, assign='='):
"""Parse MAD-X parameter input as any of the known Value types."""
try:
return parse_number(text)
except ValueError:
try:
return parse_string(text)
except ValueError:
try:
return Array.parse(text, assign)
except ValueError:
return Symbolic.parse(text, assign)
def parse_number(text):
"""Parse numeric value as :class:`int` or :class:`Decimal`."""
try:
return int(text)
except ValueError:
try:
return Decimal(text)
except InvalidOperation:
raise ValueError("Not a floating point: {0!r}".format(text))
@none_checked
def parse_string(text):
"""Parse string from quoted expression."""
try:
return regex.is_string.match(str(text)).groups()[0]
except AttributeError:
raise ValueError("Invalid string: {0!r}".format(text))
class Array(Value):
"""
Corresponds to MAD-X ARRAY type.
"""
@classmethod
def parse(cls, text, assign='='):
"""Parse a MAD-X array."""
text = text.strip()
if text[0] != '{':
raise ValueError("Invalid array: {0!r}".format(text))
if text[-1] != '}':
raise Exception("Ill-formed ARRAY: {0!r}".format(text))
try:
return cls([Value.parse(field.strip(), assign)
for field in text[1:-1].split(',')],
assign)
except ValueError:
raise Exception("Ill-formed ARRAY: {0!r}".format(text))
@property
def expr(self):
return '{' + ','.join(map(str, self.value)) + '}'
class Symbolic(Value):
"""Base class for identifiers and composed arithmetic expressions."""
@classmethod
def parse(cls, text, assign='='):
"""Parse either a :class:`Identifier` or a :class:`Composed`."""
try:
return Identifier.parse(text, assign)
except:
return Composed.parse(text, assign)
def __binop(op):
"""Internal utility to make a binary operator."""
return lambda self, other: Composed.create(self, op, other)
def __rbinop(op):
"""Internal utility to make a binary right hand side operator."""
return lambda self, other: Composed.create(other, op, self)
__add__ = __binop('+')
__sub__ = __binop('-')
__mul__ = __binop('*')
__truediv__ = __binop('/')
__div__ = __truediv__
__radd__ = __rbinop('+')
__rsub__ = __rbinop('-')
__rmul__ = __rbinop('*')
__rtruediv__ = __rbinop('/')
__rdiv__ = __rtruediv__
class Identifier(Symbolic):
"""Plain word identifier such as a variable name."""
@classmethod
def parse(cls, text, assign='='):
"""Parse identifier."""
try:
return cls(regex.is_identifier.match(text).groups()[0], assign)
except AttributeError:
raise ValueError("Invalid identifier: {0!r}".format(text))
class Composed(Symbolic):
"""Composed expression."""
@classmethod
def parse(cls, text, assign='='):
"""Allows any expression unchecked."""
return cls(text, assign)
@classmethod
def create(cls, a, x, b):
"""Create a composed expression from two other expressions."""
delayed = (getattr(a, 'assign', '=') == ':=' or
getattr(b, 'assign', '=') == ':=')
return Composed(
' '.join((format_safe(a), x, format_safe(b))),
':=' if delayed else '=')
@property
def safe_expr(self):
"""Add braces for use inside another expression."""
return '(' + self.expr + ')'
def parse_args(text):
"""Parse argument list into ordered dictionary."""
# TODO: use .split(',') to make expression simpler
return odicti((key, Value.parse(val, assign))
for key,assign,val in regex.arg.findall(text or ''))
class Element(object):
"""
Single MAD-X element.
:ivar str name: element name or ``None``
:ivar str type: element type name
:ivar odicti args: element arguments
:ivar _base: base element, if available
:class:`Element` a :class:`dict`-like interface to access arguments.
Argument access is defaulted to base elements if available.
"""
__slots__ = ['name', 'type', 'args',
'_base']
def __init__(self, name, type, args, base=None):
"""
Initialize an Element object.
:param str name: name of the element (colon prefix)
:param str type: command name or element type
:param dict args: command arguments
:param base: base element
"""
self.name = stri(name)
self.type = stri(type)
self.args = args
self._base = base
@classmethod
def parse(cls, text):
"""Parse element from MAD-X string."""
name, type, args = regex.cmd.match(text).groups()
return Element(name, type, parse_args(args))
def __str__(self):
"""Format element in MAD-X format."""
return ''.join((
self.name + ': ' if self.name else '',
', '.join(
[self.type] +
[format_argument(k, v) for k,v in self.args.items()]),
';'))
def _getstate(self):
"""Get a serializeable state for :class:`Json` and :class:`Yaml`."""
return odicti([('name', self.name),
('type', self.type)] + list(self.args.items()))
@property
def base_type(self):
"""Return the base type name."""
if self._base:
return self._base.base_type
return self.type
@property
def all_args(self):
"""Return merged arguments of self and bases."""
if self._base:
args = self._base.all_args
else:
args = odicti()
args.update(self.args)
return args
# MutableMapping interface:
def copy(self):
"""Create a copy of this element that can be safely modified."""
return self.__class__(self.name, self.type, self.args.copy(),
self._base)
def __contains__(self, key):
"""Check whether key exists as argument in self or base."""
return key in self.args or (self._base and key in self._base)
def __delitem__(self, key):
"""Delete argument in self."""
del self.args[key]
def __getitem__(self, key):
"""Get argument value from self or base."""
try:
return self.args[key]
except KeyError:
if self._base:
return self._base[key]
raise
def __setitem__(self, key, val):
"""Set argument value in self."""
self.args[key] = val
def get(self, key, default=None):
"""Get argument value or default from self or base."""
try:
return self[key]
except KeyError:
return default
def pop(self, key, *default):
"""Get argument value from self, base or default and remove it from self."""
try:
return self.args.pop(key)
except KeyError:
try:
return self._base[key]
except (KeyError, TypeError):
if default:
return default[0]
raise
def __eq__(self, other):
"""Check if some other element is the same."""
return (self.name == other.name and
self.type == other.type and
self.args == other.args)
class Text(str):
"""A text section in a MAD-X document."""
type = None
class Sequence(object):
"""
MAD-X sequence.
"""
def __init__(self, elements, preface=None):
self._preface = preface or []
self._elements = elements
@property
def name(self):
"""Get sequence name."""
return self.head.name
@property
def head(self):
"""Get sequence head element (the one with type SEQUENCE)."""
return self._elements[0]
@property
def body(self):
"""Get sequence body (all elements inside)."""
return self._elements[1:-1]
@property
def tail(self):
"""Get sequence tail element (the one with type ENDSEQUENCE)."""
return self._elements[-1]
def __str__(self):
"""Format sequence to MAD-X format."""
return '\n'.join(map(str, self._preface + self._elements))
@classmethod
def detect(cls, elements):
"""
Filter SEQUENCE..ENDSEQUENCE groups in an element list.
:param iterable elements:
:returns: unmodified elements and generated :class:`Sequence` objects
:rtype: generator
"""
it = iter(elements)
for elem in it:
if elem.type == 'sequence':
seq = [elem]
for elem in it:
seq.append(elem)
if elem.type == 'endsequence':
break
assert(elem.type == 'endsequence')
yield Sequence(seq)
else:
yield elem
#----------------------------------------
# Transformations
#----------------------------------------
class SequenceTransform(object):
"""
Sequence transformation constituted of Element transformation rules.
:ivar list _transforms: list of :class:`ElementTransform`s
:cvar dicti _offsets: associates numeric offset multipliers to offset names
"""
_offsets = dicti(entry=0, centre=Decimal(1)/2, exit=1)
def __init__(self, slicing):
"""
Create transformation rules from the definition list.
:param list slicing: list of :class:`ElementTransform` definitions
"""
self._transforms = [ElementTransform(s) for s in slicing] + []
self._transforms.append(ElementTransform({}))
def __call__(self, node, defs):
"""
Transform :class:`Sequence` according to the rule list.
:param Sequence node: current sequence to transform
:param dict defs: element lookup table for base elements
If the ``node`` is not of type :class:`Sequence`, it will be
returned unchanged, but may still be added to the ``defs`` lookup
table.
"""
if isinstance(node, Element):
defs[str(node.name)] = node
node._base = defs.get(node.type)
if not isinstance(node, Sequence):
return node
head = node.head.copy()
body = node.body
tail = node.tail
refer = self._offsets[str(head.get('refer', 'centre'))]
def transform(elem, offset):
if elem.type:
elem._base = defs.get(elem.type)
for t in self._transforms:
if t.match(elem):
return t.slice(elem, offset, refer)
templates = [] # predefined element templates
elements = [] # actual elements to put in sequence
position = 0 # current element position
for elem in body:
if elem.type:
templ, elem, position = transform(elem, position)
templates += templ
elements += elem
else:
elements.append(elem)
head['L'] = position
if templates:
templates.insert(0, Text('! Template elements for %s:' % head.name))
templates.append(Text())
return Sequence([head] + elements + [tail], templates)
class ElementTransform(object):
"""
Single Element transformation rule.
:ivar function match:
:ivar function _get_position:
:ivar function _get_slice_num:
:ivar function _rescale:
:ivar function _maketempl:
:ivar function _stripelem:
:ivar function _distribution:
"""
def __init__(self, selector):
"""
Create transformation rule from the serialized definition.
:param dict selector:
"""
# matching criterium
exclusive(selector, 'name', 'type')
if 'name' in selector:
name = selector['name']
self.match = lambda elem: elem.name == name
elif 'type' in selector:
type = selector['type']
self.match = lambda elem: elem.base_type == type
else:
self.match = lambda elem: True
# whether to use or overwrite manual AT values
if selector.get('use_at', True):
def _get_position(elem, elem_len, offset, refer):
try:
return elem['at'] - elem_len * refer
except KeyError:
return offset
self._get_position = _get_position
else:
self._get_position = lambda elem, elem_len, offset, refer: offset
# number of slices per element
exclusive(selector, 'density', 'slice')
if 'density' in selector:
density = selector['density']
self._get_slice_num = lambda L: int(ceil(abs(L * density)))
else:
slice_num = selector.get('slice', 1)
self._get_slice_num = lambda L: slice_num
# rescale elements
if selector.get('makethin', False):
self._rescale = rescale_makethin
else:
self._rescale = rescale_thick
# whether to use separate optics
if selector.get('template', False):
self._maketempl = lambda elem: [elem]
self._stripelem = lambda elem: Element(None, elem.name, {}, elem)
else:
self._maketempl = lambda elem: []
self._stripelem = lambda elem: elem
# slice distribution style over element length
style = selector.get('style', 'uniform')
if style == 'uniform':
self._distribution = self.uniform_slice_distribution
elif style == 'loop':
self._distribution = self.uniform_slice_loop
else:
raise ValueError("Unknown slicing style: {0!r}".format(style))
def slice(self, elem, offset, refer):
"""
Transform the element at ``offset.
:param Element elem:
:param Decimal offset: element entry position
:param Decimal refer: sequence addressing style
:returns: template elements, element slices, element length
:rtype: tuple
"""
elem_len = elem.get('L', 0)
offset = self._get_position(elem, elem_len, offset, refer)
slice_num = self._get_slice_num(elem_len) or 1
slice_len = Decimal(elem_len) / slice_num
scaled = self._rescale(elem, 1/Decimal(slice_num))
templ = self._maketempl(scaled)
elem = self._stripelem(scaled)
elems = self._distribution(elem, offset, refer, slice_num, slice_len)
return templ, elems, offset + elem_len
def uniform_slice_distribution(self, elem, offset, refer, slice_num, slice_len):
"""
Slice an element uniformly into short pieces.
:param Element elem:
:param Decimal offset: element entry position
:param Decimal refer: sequence addressing style
:param Decimal slice_len: element length
:param int slice_num: number of slices
:returns: element slices
:rtype: generator
"""
for slice_idx in range(slice_num):
slice = elem.copy()
slice['at'] = offset + (slice_idx + refer)*slice_len
if slice.name and slice_num > 1:
slice.name = elem.name + '..' + str(slice_idx)
yield slice
def uniform_slice_loop(self, elem, offset, refer, slice_num, slice_len):
"""
Slice an element uniformly into short pieces using a loop construct.
:param Element elem:
:param Decimal offset: element entry position
:param Decimal refer: sequence addressing style
:param Decimal slice_len: element length
:param int slice_num: number of slices
:returns: element slices
:rtype: generator
"""
slice = elem.copy()
slice.name = None
slice['at'] = offset + (Identifier('i') + refer) * slice_len
yield Text('i = 0;')
yield Text('while (i < %s) {' % slice_num)
yield slice
yield Text('i = i + 1;')
yield Text('}')
def rescale_thick(elem, ratio):
"""Shrink/grow element size, while leaving the element type 'as is'."""
# TODO: implement this for all sorts of elements..
if ratio == 1:
return elem
scaled = elem.copy()
scaled['L'] = elem['L'] * ratio
if scaled.base_type == 'sbend':
scaled['angle'] = scaled['angle'] * ratio
return scaled
def rescale_makethin(elem, ratio):
"""
Shrink/grow element size, while transforming elements to MULTIPOLEs.
NOTE: rescale_makethin is currently not recommended! If you use it,
you have to make sure, your slice length will be sufficiently small!
Furthermore, most MAD-X elements and parameters are not dealt with!
"""
# TODO: handle more elements (sextupole, ...?)
# TODO: check/modify more parameters
base_type = elem.base_type
if base_type not in ('sbend', 'quadrupole', 'solenoid'):
return elem
if base_type == 'solenoid':
elem = elem.copy()
elem['ksi'] = elem['KS'] * elem['L'] * ratio
elem['lrad'] = elem['L'] * ratio
elem['L'] = 0
return elem
elem = Element(elem.name, 'multipole', elem.all_args)
if base_type == 'sbend':
elem['KNL'] = [elem.pop('angle') * ratio]
elem.pop('HGAP', None)
elif base_type == 'quadrupole':
if 'K1' in elem:
elem['KNL'] = [0, elem['K1'] * elem['L'] * ratio]
del elem['K1']
if 'K1S' in elem:
elem['KSL'] = [0, elem['K1S'] * elem['L'] * ratio]
del elem['K1S']
if 'L' in elem:
elem['lrad'] = elem.pop('L') * ratio
return elem
def exclusive(mapping, *keys):
"""Check that at most one of the keys is contained in the mapping."""
return sum(key in mapping for key in keys) <= 1
#----------------------------------------
# Serialization
#----------------------------------------
class Json(object):
"""JSON serialization utility."""
def __init__(self):
"""Import json module for later use."""
import json
self.json = json
def dump(self, data, stream):
"""Dump data with types defined in this module."""
json = self.json
class fakefloat(float):
"""Used to serialize Decimal.
See: http://stackoverflow.com/a/8274307/650222"""
def __init__(self, value):
self._value = value
def __repr__(self):
return str(self._value)
class ValueEncoder(json.JSONEncoder):
def default(self, obj):
if isinstance(obj, Value):
return obj.value
if isinstance(obj, Decimal):
return fakefloat(obj.normalize())
# Let the base class default method raise the TypeError
return json.JSONEncoder.default(self, obj)
json.dump(data, stream,
indent=2,
separators=(',', ' : '),
cls=ValueEncoder)
def load(self, stream):
"""Load data from, using ordered case insensitive dictionaries."""
return self.json.load(stream, object_pairs_hook=odicti)
class Yaml(object):
"""YAML serialization utility."""
def __init__(self):
"""Import yaml module for later use."""
import yaml
self.yaml = yaml
def dump(self, data, stream=None):
"""Dump data with types defined in this module."""
yaml = self.yaml
class Dumper(yaml.SafeDumper):
pass
def _dict_representer(dumper, data):
return dumper.represent_mapping(
yaml.resolver.BaseResolver.DEFAULT_MAPPING_TAG,
data.items())
def _stri_representer(dumper, data):
return dumper.represent_str(data)
def _Value_representer(dumper, data):
return dumper.represent_str(data.value)
def _Decimal_representer(dumper, data):
return dumper.represent_scalar(u'tag:yaml.org,2002:float',
str(data).lower())
Dumper.add_representer(odicti, _dict_representer)
Dumper.add_representer(stri.cls, _stri_representer)
Dumper.add_representer(Symbolic, _Value_representer)
Dumper.add_representer(Identifier, _Value_representer)
Dumper.add_representer(Composed, _Value_representer)
Dumper.add_representer(Array, _Value_representer)
Dumper.add_representer(Decimal, _Decimal_representer)
return yaml.dump(data, stream, Dumper, default_flow_style=False)
def load(self, stream):
"""Load data from, using ordered case insensitive dictionaries."""
yaml = self.yaml
class OrderedLoader(yaml.SafeLoader):
pass
OrderedLoader.add_constructor(
yaml.resolver.BaseResolver.DEFAULT_MAPPING_TAG,
lambda loader, node: odicti(loader.construct_pairs(node)))
return yaml.load(stream, OrderedLoader)
#----------------------------------------
# main
#----------------------------------------
class Document(list):
"""
MAD-X document representation.
:ivar list _nodes: list of Text/Element/Sequence nodes
"""
def __init__(self, nodes):
"""Store the list of nodes."""
self._nodes = list(nodes)
def transform(self, node_transform):
"""Create a new transformed document using the node_transform."""
defs = dicti()
return Document(node_transform(node, defs)
for node in self._nodes)
@classmethod
def parse(cls, lines):
"""Parse sequence from line iteratable."""
return cls(Sequence.detect(chain.from_iterable(map(cls.parse_line, lines))))
@classmethod
def parse_line(cls, line):
"""
Parse a single-line MAD-X input statement.
Return an iterable that iterates over parsed elements.
TODO: Does not support multi-line commands yet!
"""
code, comment = regex.comment_split.match(line).groups()
if comment:
yield Text(comment)
commands = list(code.strip().split(';'))
if commands[-1]:
raise ValueError(
"Not accepting multi-line commands: %s" % commands[-1])
for command in commands[:-1]:
try:
yield Element.parse(command + ';')
except AttributeError:
yield Text(command + ';')
if len(commands) == 1 and not comment:
yield Text('')
def _getstate(self):
"""Get a serializeable state for :class:`Json` and :class:`Yaml`."""
return odicti(
(seq.name, odicti(
list(seq.head.args.items()) +
[('elements', [elem._getstate()
for elem in seq.body
if elem.type])]
))
for seq in self._nodes
if isinstance(seq, Sequence))
def dump(self, stream, fmt='madx'):
"""
Serialize to the stream.
:param stream: file object
:param str fmt: either 'madx', 'yaml' or 'json'
"""
if fmt == 'json':
Json().dump(self._getstate(), stream)
elif fmt == 'yaml':
Yaml().dump(self._getstate(), stream)
elif fmt == 'madx':
stream.write("\n".join(map(str, self._nodes)))
else:
raise ValueError("Invalid format code: {0!r}".format(fmt))
def main(argv=None):
# parse command line options
from docopt import docopt
args = docopt(__doc__, argv, version=__version__)
# perform input
if args['<input>'] and args['<input>'] != '-':
with open(args['<input>'], 'rt') as f:
input_file = list(f)
else:
from sys import stdin as input_file
# open output stream
if args['<output>'] and args['<output>'] != '-':
output_file = open(args['<output>'], 'wt')
else:
from sys import stdout as output_file
# get slicing definition
if args['--slice']:
with open(args['--slice']) as f:
if args['--slice'][:-4].lower() == '.json':