finesse.py

# -*- coding: utf-8 -*-
"""
Created on Sun Jan 27 09:56:53 2013

PyKat - Python interface and wrapper for FINESSE
Copyright (C) 2013 Daniel David Brown

This program 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 2 of the License, or
(at your option) any later version.

This program 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 this program; if not, write to the Free Software Foundation, Inc.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.

Contact at ddb@star.sr.bham.ac.uk

@author: Daniel Brown
"""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
from __future__ import unicode_literals

import sys
import os
import subprocess
import tempfile
import numpy as np
import datetime
import time
import pickle
import pykat
import warnings
import re
import math       
import itertools
import ctypes
import ctypes.util
import collections
import re
import copy

try:
    # Python 2
    from itertools import izip_longest
except ImportError:
    # Python 3
    from itertools import zip_longest as izip_longest
"""
try:
    from future_builtins import zip_longest
except ImportError: # not 2.6+ or is 3.x
    try:
        from itertools import izip_longest as zip_longest # < 2.5 or 3.x
    except ImportError:
        print("boom")
        pass
"""

from math import erfc, pi
from collections import namedtuple, OrderedDict

from pykat.node_network import NodeNetwork
from pykat.detectors import BaseDetector as Detector
from pykat.components import Component
from pykat.commands import Command, xaxis
from pykat.SIfloat import *
from pykat.param import Param, AttrParam

import pykat.external.six as six

import pykat.exceptions as pkex

from pykat import USE_GUI, HAS_OPTIVIS, NoGUIException

    
if HAS_OPTIVIS:
    from optivis.bench.labels import Label as optivis_label
    from optivis.geometry import Coordinates as optivis_coord
    import PyQt4

if USE_GUI:
    from pykat.gui.gui import pyKatGUI
    from PyQt4.QtCore import QCoreApplication
    from PyQt4.QtGui import QApplication

from multiprocessing import Process, Manager

NO_BLOCK = "NO_BLOCK"
pykat_web = "www.gwoptics.org/pykat"

# containers used in the trace routine
space_trace = namedtuple("space_trace", ['gouyx','gouyy'])
node_trace = namedtuple("node_trace", ['qx','qy'])
cav_trace = namedtuple("cav_trace", ['isStable','gx','gy','qx','qy','finesse','loss','length','FSR','FWHM','pole'])
         
lkat_location = ctypes.util.find_library("kat")
                                     
def f__lkat_process(callback, cmd, kwargs):
    """
    """
    
    if lkat_location is None:
        raise RuntimeError("Could not find shared library 'libkat', please install to a system location or copy to the same directory as this script")
        
    lkat = ctypes.PyDLL(lkat_location)

    try:
        lkat._pykat_preInit() # must always be called, sets up
                        # exception handling and such no simulation
                        # specifc code here

        # reads in the kat.ini and setups up other parts
        lkat._pykat_init()
        lkat._pykat_setup(cmd)
    
        callback(lkat, **kwargs)
    
    except Exception as ex: 
        print ("Exception caught in python: ", ex.message)
    finally:
        # This should always be called no matter what
        lkat._pykat_finish(0)


def f__lkat_trace_callback(lkat, trace_info, getCavities, getNodes, getSpaces):
    """
    lkat callback for computing the beam traces through a setup.
    Returns a dictionary of nodes, spaces and cavities and the
    various outputs of the tracing algorithm.
    """
    import pylibkat

    # first we need to get a handle on the internals of Finesse
    inter = pylibkat.interferometer.in_dll(lkat, "inter")

    lkat._pykat_step()

    if getNodes:
        for n in range(0, inter.num_nodes):
            node = inter.node_list[n]

            node_info = node_trace(
                                    qx = complex(node.qx.re, node.qx.im),
                                    qy = complex(node.qy.re, node.qy.im)
                                    )

            trace_info[node.name] = node_info

    if getCavities:
        for c in range(0, inter.num_cavities):
            cav = inter.cavity_list[c]

            cav_info = cav_trace(
                                isStable = (cav.stable == 1),
                                gx = cav.stability_x,
                                gy = cav.stability_y,
                                qx = complex(cav.qx.re, cav.qx.im),
                                qy = complex(cav.qy.re, cav.qy.im),
                                finesse = cav.finesse,
                                FSR = cav.FSR,
                                FWHM = cav.FWHM,
                                loss = cav.loss,
                                length = cav.length,
                                pole = cav.pole
                                )

            trace_info[cav.name] = cav_info

    if getSpaces:
        for s in range(0, inter.num_spaces):
            space = inter.space_list[s]

            trace_info[space.name] = space_trace(gouyx = space.gouy_x,
                                                 gouyy = space.gouy_y)
                     
class KatBatch(object):
    """
    
    """
    
    def __init__(self):
        from IPython.parallel import Client

        self._c = Client()
        self._lb = c.load_balanced_view()
        self.lb.block = False
        
        self._todo = []
    
    def _run(dir, commands, **kwargs):
        import pykat
        kat = pykat.finesse.kat()
        kat.verbose = False
        kat.parseCommands(commands)
        
        kw = dict()
        
        if "cmd_args" in kwargs:
            kw["cmd_args"] = kwargs["cmd_args"]
        
        return kat.run(printerr=1, **kw)
    
    def addKat(self, kat, **kwargs):
        import os
        cdir = os.getcwd()
        script = "\n".join(kat.generateKatScript())
        self.todo.append(self.lb.apply_async(self._run, script, **kwargs))
        return self.todo[-1]
    
    def wait(self):
        return self.lb.wait(self.todo)
        
    def results(self):
        return self.todo

                                  
def GUILength(L):
    """
    Should scale the lengths in some way to handle km and mm for time being
    """
    return L # * ( 40 * erfc(L/400.0) + 0.01)
            
class katRun(object):
    def __init__(self):
        self.runtime = None
        self.StartDateTime = datetime.datetime.now()
        self.x = None
        self.y = None
        self.xlabel = None
        self.ylabels = None
        self.katScript = None
        self.katVersion = None
        self.yaxis = None
        
    def info(self):
        
        kat = pykat.finesse.kat()
        kat.verbose = False
        kat.parseCommands(self.katScript)
        
        detectors = list(set([lbl.split()[0] for lbl in self.ylabels]))
        detectors.sort()
        
        print("--- Output info ---")
        print("Run date and time: %s" % self.StartDateTime)
        print("Detectors used: %s" % (", ".join(detectors)))
        
        if kat.noxaxis:
            print("No xaxis used")
        else:
            print("One xaxis used: %s" % kat.xaxis.getFinesseText())
        
        
    def plot(self, detectors=None, filename=None, show=True, yaxis=None, legend=True, loc=0, title=None):
        """
        This will generate a plot for the output data of this particular pykat run.
        It will attempt to generate a plot that shows all the various traces and plots
        by default for quick viewing of the data. Similar to that which would be
        generated by running the Finesse file from the command line.
        
        There are some additional keyword options to customise the plot output slightly:
        
            detectors: a list of detectors that you want to plot
            filename: providing a filename here will save the plot to a file. The format is given by the extension provided.
            show: True | False - whether to display the plot or not
            yaxis: Set the Finesse yaxis command to base the plot on. By default the original one will be used.
            legend: True | False - whether to include a legend
            loc: Location value for the legend, the usual matplotlib one.
            title: Provide a title for the plot if required.
        """
        import matplotlib.pyplot as pyplot
        import pykat.plotting as plt

        kat = pykat.finesse.kat()
        kat.verbose = False
        kat.parseCommands(self.katScript)

        if yaxis is not None:
            kat.yaxis = yaxis

        if "log" in kat.yaxis:
            if kat.xaxis.scale == "log":
                plot_cmd = pyplot.loglog
            else:
                plot_cmd = pyplot.semilogy
        else:
            if kat.xaxis.scale == "log":
                plot_cmd = pyplot.semilogx
            else:
                plot_cmd = pyplot.plot

        dual_plot = False
        _func1 = np.abs
        _func2 = None

        plot_cmd1 = None
        plot_cmd2 = None
        
        if "re:im" in kat.yaxis:
            _func1 = np.real
            _func2 = np.imag
            plot_cmd1 = plot_cmd2 = plot_cmd
            
            dual_plot = True
        elif "abs:deg" in kat.yaxis:
            _func1 = np.abs
            _func2 = lambda x: np.rad2deg(np.angle(x))

            plot_cmd1 = plot_cmd
            plot_cmd2 = pyplot.plot if kat.xaxis.scale == "lin" else pyplot.semilogx
            
            dual_plot = True
        elif "db:deg" in kat.yaxis:
            _func1 = lambda x: 10*np.log10(x)
            _func2 = lambda x: np.rad2deg(np.angle(x))

            plot_cmd1 = plot_cmd
            plot_cmd2 = pyplot.plot if kat.xaxis.scale == "lin" else pyplot.semilogx
            
            dual_plot = True
        elif "abs" in kat.yaxis:
            _func1 = np.abs
            plot_cmd1 = plot_cmd
        elif "db" in kat.yaxis:
            _func1 = lambda x: 10*np.log10(x)
            plot_cmd1 = plot_cmd
        elif "deg" in kat.yaxis:
            _func1 = lambda x: np.rad2deg(np.angle(x))
            plot_cmd1 = plot_cmd
            
        if dual_plot:
            fig = plt.figure(width="full", height=1)
        else:
            fig = plt.figure(width="full")   

        if detectors is None:
            detectors = [lbl.split()[0] for lbl in self.ylabels]
            
        detectors = list(set(detectors))
        detectors.sort()
        
        for det in detectors:
            if not getattr(kat, det).noplot:
                if not dual_plot:
                    plot_cmd1(self.x, _func1(self[det]), label=det)
                else:
                    ax = pyplot.subplot(2,1,1)
                    l, = plot_cmd1(self.x, _func1(self[det]), label=det)
        
                    pyplot.subplot(2,1,2)
                    plot_cmd2(self.x, _func2(self[det]), color=l.get_color(), ls=l.get_linestyle(), label=det)

        if dual_plot:
            ax = pyplot.subplot(2,1,1)
            pyplot.xlabel(self.xlabel, fontsize=pyplot.rcParams["font.size"])
            pyplot.xlim(self.x.min(), self.x.max())
            if title is not None: pyplot.title(title, fontsize=pyplot.rcParams["font.size"]-1)
            
            if "abs" in kat.yaxis: pyplot.ylabel("Absolute [au]", fontsize=pyplot.rcParams["font.size"])
            if "re" in kat.yaxis: pyplot.ylabel("Real part [au]", fontsize=pyplot.rcParams["font.size"])
    
            pyplot.subplot(2,1,2)
            pyplot.xlabel(self.xlabel, fontsize=pyplot.rcParams["font.size"])
            pyplot.xlim(self.x.min(), self.x.max())
    
            if "deg" in kat.yaxis: pyplot.ylabel("Phase [deg]", fontsize=pyplot.rcParams["font.size"])
            if "im" in kat.yaxis: pyplot.ylabel("Imaginary part [au]", fontsize=pyplot.rcParams["font.size"])
        else:
            pyplot.xlabel(self.xlabel, fontsize=pyplot.rcParams["font.size"])
            pyplot.ylabel(" [au]")
            pyplot.xlim(self.x.min(), self.x.max())
            if title is not None: pyplot.title(title, fontsize=pyplot.rcParams["font.size"]-1)
    
        pyplot.tight_layout()
    
        if legend:
            fig.axes[0].legend(loc=loc, fontsize=pyplot.rcParams["font.size"]-1)
        
        if filename is not None:
            fig.savefig(filename)
            
        if show:
            pyplot.show(fig)
        
        return fig
        
    def savekatRun(self, filename):
        with open(filename,'w') as outfile:
            pickle.dump(self, outfile)
    
    @staticmethod
    def loadKatRun(filename):
        with open(filename,'r') as infile:
            return pickle.load(infile)
    
    def get(self, value): return self[value]
    
    def __getitem__(self, value):
        idx = [i for i in range(len(self.ylabels)) if self.ylabels[i].split()[0] == str(value)]
        out = None
        
        if len(idx) > 0:
            #out = self.y[:, idx]
            
            if len(idx) == 1:
                if "abs:deg" in self.yaxis:
                    out = self.y[:, idx[0]]
                elif "re:im" in self.yaxis:
                    out = self.y[:, idx[0]]
            else: 
                if "abs:deg" in self.yaxis:
                    out = self.y[:, idx[0]] * np.exp(1j*math.pi*self.y[:, idx[1]]/180.0)
                elif "re:im" in self.yaxis :
                    out = self.y[:, idx[0]] + 1j*self.y[:, idx[1]]

            if out is None:
                out = self.y[:, idx]

            if out.size == 1:
                return out[0].squeeze()
            else:
                return out.squeeze()
        else:
            raise  pkex.BasePyKatException("No output by the name '{0}' found in the output".format(str(value)))
      
class katRun2D(object):
    def __init__(self):
        self.runtime = None
        self.startDateTime = datetime.datetime.now()
        self.x = None
        self.y = None
        self.z = None
        self.xlabel = None
        self.ylabel = None
        self.zlabels = None
        self.katScript = None
        self.katVersion = None
        
    def saveKatRun(self, filename):
        with open(filename,'w') as outfile:
            pickle.dump(self, outfile)
    
    @staticmethod
    def loadKatRun(filename):
        with open(filename,'r') as infile:
            return pickle.load(infile)
    
    def get(self, value): return self[value].squeeze()
    
    def __getitem__(self, value):
        idx = [i for i in range(len(self.zlabels)) if self.zlabels[i].split()[0] == str(value)]
        
        if len(idx) > 0:
            return self.z[idx].squeeze()
        else:
            raise  pkex.BasePyKatException("No output by the name {0} found".format(str(value)))
    
        
class Signals(object):
    class fsig(object):
        def __init__(self, param, name, amplitude, phase, signal):
            self._params = []
            self.__target = param
            self.__name = name
            self.__amplitude = Param("amp", self, SIfloat(amplitude))
            self.__phase = Param("phase", self, SIfloat(phase))
            self.__removed = False
            self.__signal = signal
            
            # unfortunatenly the target names for fsig are not the same as the
            # various parameter names of the components, e.g. mirror xbeta is x 
            # for fsig. So we need to check here what type of component we are targetting
            # and then based on the parameter specfied get the name
            if not param.canFsig:
                raise  pkex.BasePyKatException("Cannot fsig parameter {1} on component {0}".format(str(param._owner().name), param.name))
            
        def _register_param(self, param):
            self._params.append(param)
        
        @property
        def removed(self): return self.__removed
  
        def remove(self):
            self.__signal._kat.remove(self)
            
        def _on_remove(self):
            if self.__removed:
                raise pkex.BasePyKatException("Signal {0} has already been marked as removed".format(self.name))
            else:
                self.__signal.targets.remove(self)
                self.__remove = True
        
        @property
        def name(self): return self.__name

        @property
        def amplitude(self): return self.__amplitude
        @amplitude.setter
        def amplitude(self,value): self.__amplitude.value = SIfloat(value)


        @property
        def phase(self): return self.__phase
        @phase.setter
        def phase(self,value): self.__phase.value = SIfloat(value)

        @property
        def target(self): return self.__target.fsig_name

        @property
        def owner(self): return self.__target._owner().name
    
        def getFinesseText(self):
            rtn = []
    
            for p in self._params:
                rtn.extend(p.getFinesseText())
        
            return rtn
    
    
    @property
    def name(self):
        # if we don't have any signals yet then use a dummy name
        # however we need to always tune a real fsig command
        # so need to get the name of at least one of them
        # as if you tune one you tune them all
        if len(self.targets) == 0:
            return self._default_name
        else:
            return self.targets[0].name
            
    @property
    def removed(self): return False # we can never remove the Signal object altogethr just the individual fsig targets

    def remove(self):
        for t in self.targets:
            t.remove()
        
        del self.targets[:]
        
    @property
    def f(self): return self.__f
    @f.setter
    def f(self,value): self.__f.value = SIfloat(value)
    
    def __init__(self, kat):
        self._default_name = "fsignal"
        self.targets = []
        self._params = []
        self.__f = Param("f", self, 0)
        self._kat = kat
        
    def _register_param(self, param):
        self._params.append(param)
        
    def apply(self, target, amplitude, phase, name=None):
        
        if target is None:
            raise  pkex.BasePyKatException("No target was specified for signal to be applied")
        
        if name is None:
            name = "sig_" + target._owner().name + "_" + target.name
        
        self.targets.append(Signals.fsig(target, name, amplitude, phase, self))
        
    def getFinesseText(self):
        rtn = []
        
        if len(self.targets) == 0 and (self.f != 0 and self.f is not None):
            rtn.append("fsig {name} {frequency}"
                            .format(name = self.name,
                                    frequency=str(self.f)))
        else:
            for t in self.targets:
                rtn.extend(t.getFinesseText())
            
                rtn.append("fsig {name} {comp} {target} {frequency} {phase} {amplitude}"
                                .format(name = t.name,
                                        comp=t.owner,
                                        target=t.target,
                                        frequency=str(self.f),
                                        phase=str(t.phase),
                                        amplitude=str(t.amplitude if t.amplitude != None else "")))

        for p in self._params:
            rtn.extend(p.getFinesseText())
        
        return rtn
        
class Block:
    def __init__(self, name):
        self.__name = name
        self.contents = [] # List of objects and strings of finesse code
        self.enabled = True 
        
    @property
    def name(self): return self.__name
    
Constant = namedtuple('Constant', 'name, value, usedBy')

id___ = 0

class kat(object):  

    def __new__(cls, *args, **kwargs):
        # This may seem like an arbitrary step but here we are creating a
        # new class that is a base class of itself. This is because when
        # the kat object adds new components it also adds properties for
        # each of these. There properties are unique to each kat object,
        # but properties are part of the class definition. Thus if two
        # kat objects share the same class definition they also have the
        # same properties regardless of whether they have the actual
        # object added to it. So we create an instance specific class.
        global id___
        id___ += 1
        cnew = type(pykat.finesse.kat.__name__ + str("_") + str(id___), (pykat.finesse.kat,), {})
        return object.__new__(cnew)
    
    def __init__(self, kat_file=None, kat_code=None, katdir="", katname="", tempdir=None, tempname=None):
        self.scene = None # scene object for GUI
        self.verbose = True
        self.__blocks = OrderedDict() # dictionary of blocks that are used
        self.__components = {}  # dictionary of optical components      
        self.__detectors = {}   # dictionary of detectors
        self.__commands = {}    # dictionary of commands
        self.__gui = None
        self.nodes = NodeNetwork(self)  
        self.__katdir = katdir
        self.__katname = katname
        self.__tempdir = tempdir
        self.__tempname = tempname
        self.pykatgui = None
        self.__signals = Signals(self)
        self.constants = {}
        self.vacuum = []
        self.__prevrunfilename = None
        self.printmatrix = None
        
        # initialise default block
        self.__currentTag= NO_BLOCK
        self.__blocks[NO_BLOCK] = Block(NO_BLOCK)
        
        # Various options for running finesse, typicaly the commands with just 1 input
        # and have no name attached to them.
        self.retrace = None
        self.deriv_h = None
        self.scale = None
        self.__trace = None
        self.__phase = None
        self.__maxtem = None
        self.__noxaxis = False
        self.__time_code = None
        self.__yaxis = "abs" # default yaxis
        self.__lambda0 = 1064e-9
        
        if kat_code != None and kat_file != None:
            raise pkex.BasePyKatException("Specify either a Kat file or some Kat code, not both.")
        
        if kat_code != None:
            self.parseCommands(kat_code)
        
        if kat_file != None:
            self.loadKatFile(kat_file)

    def deepcopy(self):
        return copy.deepcopy(self)
    
    def getAll(self, type):
        """
        Returns a collection of all objects of the type argument that are
        part of this kat object.
        
        Example:
            # returns all cav commands that are present in this kat object
            cavs = kat.getAll(pykat.commands.cavity)
        """
        items = []
        
        for a in (item for item in self.__class__.__dict__):
            b = getattr(self, a)
            
            if isinstance(b, type):
                items.append(b)

        return tuple(items)
        
    def __deepcopy__(self, memo):
        """
        When deep copying a kat object we need to take into account
        the instance specific properties. This is because when
        the kat object adds new components it also adds properties for
        each of these. There properties are unique to each kat object,
        but properties are part of the class definition. Thus if two
        kat objects share the same class definition they also have the
        same properties regardless of whether they have the actual
        object added to it. So we create an instance specific class.
        """
        result = self.__class__.__new__(self.__class__.__base__)
        memo[id(self)] = result
        result.__dict__ = copy.deepcopy(self.__dict__, memo)

        # Find all properties in class we are copying
        # and deep copy these to the new class instance
        for x in self.__class__.__dict__.items():
            if isinstance(x[1], property):
                setattr(result.__class__, x[0], x[1])
    
        result.nodes._NodeNetwork__update_nodes_properties()
                
        # Update any weakrefs
        for c in result.components:
            result.components[c]._Component__update_node_setters()
        
        return result
    
    @property
    def signals(self): return self.__signals

    yaxis_options = ["abs:deg","db:deg","re:im","abs","db","deg"]
    
    @property
    def yaxis(self): return self.__yaxis
    @yaxis.setter
    def yaxis(self, value):
        values = value.split()
        
        if len(values) == 2:
            scale = values[0]
            mode = values[1]
        else:
            scale = "lin"
            mode = value
        
        if not str(scale) in ["lin", "log"]:
            raise pkex.BasePyKatException("yaxis value '{0}' is not a valid option. Valid options are: lin or log".format(str(mode)))
                
        if not str(mode) in self.yaxis_options:
            raise pkex.BasePyKatException("yaxis value '{0}' is not a valid option. Valid options are: {1}".format(str(mode), ",".join(self.yaxis_options) ))
            
        self.__yaxis = str(scale + " " + mode).strip()

    @property
    def trace(self): return self.__trace
    @trace.setter
    def trace(self, value):
        value = int(value)

        if value < 0 or value > 255:
            raise pkex.BasePyKatException('trace command only accepts values in the range 0-255.')
        else:
            self.__trace = value

    @property
    def lambda0(self): return self.__lambda0
    @lambda0.setter
    def lambda0(self, value):
        self.__lambda0 = SIfloat(value)
        
        for node in self.nodes.getNodes():
            if self.nodes[node].q != None:
                self.nodes[node].q.wavelength = self.__lambda0

    @property
    def maxtem(self): return self.__maxtem
    @maxtem.setter
    def maxtem(self,value):
        if value == "off":
            self.__maxtem = -1
        else:
            self.__maxtem = int(value)
    
    @property
    def phase(self): return self.__phase
    @phase.setter
    def phase(self,value): self.__phase = int(value)
        
    @property
    def timeCode(self): return self.__time_code
    @timeCode.setter
    def timeCode(self,value): self.__time_code = bool(value)
    
    @property
    def components(self):
        return self.__components.copy()
    
    @property
    def detectors(self):
        return self.__detectors.copy()
        
    @property
    def commands(self):
        return self.__commands.copy()
        
    @property
    def noxaxis(self): return self.__noxaxis
    @noxaxis.setter
    def noxaxis(self,value): self.__noxaxis = bool(value) 

    @staticmethod
    def logo():
        print ("""                                              ..-
    PyKat {0:7}         _                  '(
                          \\`.|\\.__...-\"\"""-_." )
       ..+-----.._        /  ' `            .-'
   . '            `:      7/* _/._\\    \\   (
  (        '::;;+;;:      `-"' =" /,`"" `) /
  L.        \\`:::a:f            c_/     n_'
  ..`--...___`.  .    ,  
   `^-....____:   +.      {1}\n""".format(pykat.__version__, pykat_web))
    
    def loadKatFile(self, katfile, blocks=None):
        commands=open(katfile).read()
        self.parseCommands(commands, blocks=blocks)
    
    def parseKatCode(self, code, blocks=None):
        #commands = code.split("\n")
        self.parseCommands(code, blocks=blocks)

    def processConstants(self, commands):
        """
        Before fully parsing a bunch of commands firstly any constants or variables
        to be recorded and replaced.
        """
        
        try:
            constants = self.constants
        
            for line in commands:
                values = line.split()
            
                if len(values)>0 and values[0] == 'const':
                
                    if len(values) >= 3:
                        if values[1] in constants:
                            raise pkex.BasePyKatException('const command with the name "{0}" already used'.format(values[1]))
                        else:
                            constants[str(values[1])] = Constant(values[1], values[2], [])
                    else:
                        raise pkex.BasePyKatException('const command "{0}" was not the correct format'.format(line))
        
            commands_new = []
        
            for line in commands:
                values = line.split()
            
                if len(values) > 0 and values[0] != 'const':
                    # check if we have a var/constant in this line
                    if line.find('$') >= 0:
                        for key in constants.keys():
                            # TODO: need to fix this for checking mulitple instances of const in a single line
                        
                            chars = [' ', '+', '-', '*', '/', ')']

                            for c in chars:
                                none_found = False
                            
                                while not none_found:
                                    if line.find('$'+key+c) > -1:
                                        constants[key].usedBy.append(line)
                                        line = line.replace('$'+key+c, str(constants[key].value)+ c)
                                    else:
                                        none_found = True
                        
                            if line.endswith('$'+key):
                                constants[key].usedBy.append(line)
                                line = line.replace('$'+key, str(constants[key].value))
                        
                    commands_new.append(line)
    
            self.constants = constants
        
            return commands_new
            
        except pkex.BasePyKatException as ex:
            pkex.PrintError("Error processing constants:", ex)
            sys.exit(1)
    
    def getBlocks(self):
        return self.__blocks.keys()
    
    def removeBlock(self, name, failOnBlockNotFound=True):
        
        if name not in self.__blocks:
            if failOnBlockNotFound:
                pkex.PrintError("Error removing block:", pkex.BasePyKatException('Block "{0}" was not found'.format(name)))
                sys.exit(1)
            else:
                return
                
        for o in self.__blocks[name].contents:
            self.remove(o)
        
        del self.__blocks[name]
        
    def parseCommands(self, commands, blocks=None, addToBlock=None):
        try:
            if addToBlock is not None and blocks is not None:
                raise pkex.BasePyKatException("When parsing commands you cannot set both blocks and addToBlock arguments")
            
            # Create a new block if one asked for isn't present
            if addToBlock is not None:
                if addToBlock not in self.__blocks:
                    self.__blocks[addToBlock] = Block(addToBlock)
                
            blockComment = False
        
            commands=self.remove_comments(commands)
        
            commands=self.processConstants(commands)
        
            after_process = [] # list of commands that should be processed after 
                               # objects have been set and created
        
            for line in commands:
                if len(line.strip()) >= 2:
                    line = line.strip()

                    # Looking for block start or end
                    values = line.split()
                    
                    if addToBlock is None:
                        if values[0] == "%%%":
                            if values[1] == "FTblock":
                                newTag = values[2]
                    
                                if self.__currentTag != None and self.__currentTag != NO_BLOCK: 
                                    warnings.warn("found block {0} before block {1} ended".format(newTag, self.__currentTag))    
                        
                                if newTag in self.__blocks:
                                    raise pkex.BasePyKatException("Block `{0}` has already been read".format(newTag))
                        
                                self.__blocks[newTag] = Block(newTag) # create new list to store all references to components in block
                                self.__currentTag = newTag
                    
                            if values[1] == "FTend":
                                self.__currentTag = NO_BLOCK
                    
                            continue
                    else:
                        self.__currentTag = addToBlock

                    # only include listed blocks, if we have specfied them
                    if blocks != None and self.__currentTag not in blocks:
                        continue
                
                    # don't read comment lines
                    if line[0] == "#" or line[0] == "%":
                        continue
            
                    # check if block comment is being used
                    if not blockComment and line[0:2] == "/*":
                        blockComment = True
                        continue
                    elif blockComment and line[0:2] == "*/":
                        blockComment = False
                        continue
            
                    first = line.split(" ",1)[0]
                    obj = None

                    if(first == "m" or first == "m1" or first == "m2"):
                        obj = pykat.components.mirror.parseFinesseText(line)
                    elif(first == "s"):
                        obj = pykat.components.space.parseFinesseText(line)
                    elif(first == "l"):
                        obj = pykat.components.laser.parseFinesseText(line)
                    elif(first == "sq"):
                        obj = pykat.components.squeezer.parseFinesseText(line)
                    elif(first[0:2] == "bs"):
                        obj = pykat.components.beamSplitter.parseFinesseText(line)
                    elif(first[0:2] == "gr"):
                        obj = pykat.components.grating.parseFinesseText(line)
                    elif(first[0:4] == "isol"):
                        obj = pykat.components.isolator.parseFinesseText(line)
                    elif(first[0:4] == "lens"):
                        obj = pykat.components.lens.parseFinesseText(line)
                    elif(first[0:3] == "mod"):
                        obj = pykat.components.modulator.parseFinesseText(line)
                    elif(first[0:2] == "ad"):
                        obj = pykat.detectors.ad.parseFinesseText(line)
                    elif(first[0:2] == "bp"):
                        obj = pykat.detectors.bp.parseFinesseText(line)
                    elif(first[0:4] == "gouy"):
                        obj = pykat.detectors.gouy.parseFinesseText(line)
                    elif(first[0:4] == "beam"):
                        obj = pykat.detectors.beam.parseFinesseText(line)
                    elif(first[0:2] == "pd" and first != "pdtype"):
                        obj = pykat.detectors.pd.parseFinesseText(line)
                    elif(first == "qshot" or first == "qshotS" or first == "qshotN"):
                        obj = pykat.detectors.qshot.parseFinesseText(line)
                    elif(first == "qnoised" or first == "qnoisedS" or first == "qnoisedN"):
                        obj = pykat.detectors.qnoised.parseFinesseText(line)
                    elif(first == "xaxis" or first == "xaxis*"):
                        self.noxaxis = False
                        obj = pykat.commands.xaxis.parseFinesseText(line)
                    elif(first[0:2] == "hd"):
                        obj = pykat.detectors.hd.parseFinesseText(line)
                    elif(first.startswith("qhd")):
                        obj = pykat.detectors.qhd.parseFinesseText(line)
                    elif(first == "x2axis" or first == "x2axis*"):
                        obj = pykat.commands.x2axis.parseFinesseText(line)
                    elif(first == "gauss" or first == "gauss*" or first == "gauss**"):
                        after_process.append((line, self.__currentTag))
                    elif(first == "scale"):
                        after_process.append((line, self.__currentTag))
                    elif(first == "pdtype"):
                        after_process.append((line, self.__currentTag))
                    elif(first == "cav"):
                        after_process.append((line, self.__currentTag))
                    elif(first == "func"):
                        after_process.append((line, self.__currentTag))
                    elif(first == "variable"):
                        after_process.append((line, self.__currentTag))
                    elif(first == "lock"):
                        after_process.append((line, self.__currentTag))
                    elif(first == "attr"):
                        after_process.append((line, self.__currentTag))
                    elif(first == "noxaxis"):
                        self.noxaxis = True
                    elif(first == "lambda"):
                        v = line.split()
                        self.lambda0 = SIfloat(v[-1])
                    elif(first == "yaxis"):
                        v = line.split(" ", 1)
                        self.yaxis = v[-1]
                    elif(first == "phase"):
                        v = line.split()
                        if len(v) != 2:
                            raise pkex.BasePyKatException("phase command `{0}` is incorrect.".format(line))
                        else:
                            self.phase = int(v[1])
                    elif(first == "maxtem"):
                        v = line.split()
                        if len(v) != 2:
                            raise pkex.BasePyKatException("maxtem command `{0}` is incorrect.".format(line))
                        else:
                            if v[1] == "off":
                                self.maxtem = -1
                            else:
                                self.maxtem = int(v[1])
                    elif(first == "trace"):
                        v = line.split()
                        if len(v) > 2:
                            raise pkex.BasePyKatException("Trace command `{0}` is incorrect.".format(line))
                        elif len(v) == 2:
                            self.trace = v[1]
                    elif(first == "retrace"):
                        v = line.split()
                        if len(v) > 2:
                            raise pkex.BasePyKatException("Retrace command `{0}` is incorrect.".format(line))
                        elif len(v) == 2:
                            self.retrace = v[1]                        
                    elif(first == "deriv_h"):
                        v = line.split()
                        if len(v) != 2:
                            raise pkex.BasePyKatException("deriv_h command `{0}` is incorrect.".format(line))
                        else:
                            self.deriv_h = float(v[1])
                    elif(first == "gnuterm" or first == "pyterm"):
                        if self.verbose:
                            print ("Ignoring Gnuplot/Python terminal command '{0}'".format(line))
                    elif(first == "fsig"):
                        after_process.append((line, self.__currentTag))
                    elif(first == "noplot"):
                        after_process.append((line, self.__currentTag))
                    else:
                        if self.verbose:
                            print ("Parsing `{0}` into pykat object not implemented yet, added as extra line.".format(line))
                    
                        obj = line
                        # manually add the line to the block contents
                        self.__blocks[self.__currentTag].contents.append(line) 
            
                    if obj != None and not isinstance(obj, six.string_types):
                        if self.hasNamedObject(obj.name):
                            getattr(self, obj.name).remove()
                            print ("Removed existing object '{0}' of type {1} to add line '{2}'".format(obj.name, obj.__class__, line))
                    
                        self.add(obj, block=self.__currentTag)
                
                
            # now process all the varous gauss/attr etc. commands which require
            # components to exist first before they can be processed
            for item in after_process:
                line = item[0]
                first, rest = line.split(" ",1)
                block = item[1]
                
                if first == "gauss" or first == "gauss*" or first == "gauss**":
                    pykat.commands.gauss.parseFinesseText(line, self)
                    
                elif (first == "cav"):
                    self.add(pykat.commands.cavity.parseFinesseText(line, self), block=block)
                    
                elif (first == "lock"):
                    self.add(pykat.commands.lock.parseFinesseText(line, self), block=block)
                    
                elif (first == "func"):
                    self.add(pykat.commands.func.parseFinesseText(line, self), block=block)
                    
                elif (first == "variable"):
                    self.add(pykat.commands.variable.parseFinesseText(line, self), block=block)
                elif (first == "noplot"):
                    if not hasattr(self, rest):
                        raise pkex.BasePyKatException("noplot command `{0}` refers to non-existing detector".format(line))
                        
                    getattr(self, rest).noplot = True
                    
                elif (first == "scale"):
                    v = line.split()
                    accepted = ["psd","psd_hf","asd","asd_hf","meter", "ampere", "deg", "rad", "1/deg", "1/rad",]