Lichen

Annotated optimiser.py

459:d2e12678f77b
2017-01-11 Paul Boddie Extended hashing to tuples as well as strings. Fixed sequence comparisons by testing for TypeError and returning NotImplemented when sequences are compared to non-sequence objects.
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#!/usr/bin/env python
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"""
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Optimise object layouts and generate access instruction plans.
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Copyright (C) 2014, 2015, 2016 Paul Boddie <paul@boddie.org.uk>
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This program is free software; you can redistribute it and/or modify it under
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the terms of the GNU General Public License as published by the Free Software
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Foundation; either version 3 of the License, or (at your option) any later
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version.
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This program is distributed in the hope that it will be useful, but WITHOUT
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ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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FOR A PARTICULAR PURPOSE.  See the GNU General Public License for more
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details.
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You should have received a copy of the GNU General Public License along with
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this program.  If not, see <http://www.gnu.org/licenses/>.
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"""
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from common import add_counter_item, get_attrname_from_location, init_item, \
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                   sorted_output
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from encoders import encode_access_location, encode_instruction, get_kinds
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from os.path import exists, join
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from os import makedirs
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from referencing import Reference
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class Optimiser:
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    "Optimise objects in a program."
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    def __init__(self, importer, deducer, output):
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        """
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        Initialise an instance using the given 'importer' and 'deducer' that
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        will perform the arrangement of attributes for program objects, writing
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        the results to the given 'output' directory.
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        """
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        self.importer = importer
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        self.deducer = deducer
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        self.output = output
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        # Locations/offsets of attributes in objects.
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        self.locations = None
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        self.attr_locations = None
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        self.all_attrnames = None
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        # Locations of parameters in parameter tables.
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        self.arg_locations = None
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        self.param_locations = None
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        self.all_paramnames = None
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        # Specific attribute access information.
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        self.access_instructions = {}
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        self.accessor_kinds = {}
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        # Object structure information.
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        self.structures = {}
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        self.attr_table = {}
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        # Parameter list information.
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        self.parameters = {}
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        self.param_table = {}
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        # Constant literal information.
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        self.constants = []
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        self.constant_numbers = {}
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        # Optimiser activities.
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        self.populate_objects()
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        self.position_attributes()
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        self.populate_parameters()
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        self.position_parameters()
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        self.populate_tables()
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        self.populate_constants()
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        self.initialise_access_instructions()
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    def to_output(self):
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        "Write the output files using optimisation information."
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        if not exists(self.output):
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            makedirs(self.output)
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        self.write_objects()
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    def write_objects(self):
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        """
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        Write object-related output.
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        The locations are a list of positions indicating the attributes residing
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        at each position in the different structures in a program.
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        ----
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        The parameter locations are a list of positions indicating the parameters
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        residing at each position in the different parameter lists in a program.
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        ----
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        Each attribute plan provides attribute details in the following format:
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        location " " name " " test " " test type " " base
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                 " " traversed attributes " " traversed attribute ambiguity
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                 " " traversal access modes
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                 " " attributes to traverse " " attribute ambiguity
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                 " " context " " access method " " static attribute
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        Locations have the following format:
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        qualified name of scope "." local name ":" name version
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        Traversal access modes are either "class" (obtain accessor class to
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        access attribute) or "object" (obtain attribute directly from accessor).
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        ----
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        The structures are presented as a table in the following format:
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        qualified name " " attribute names
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        The attribute names are separated by ", " characters and indicate the
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        attribute provided at each position in the structure associated with the
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        given type. Where no attribute is provided at a particular location
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        within a structure, "-" is given.
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        ----
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        The parameters are presented as a table in the following format:
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        qualified name " " parameter details
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        The parameter details are separated by ", " characters and indicate
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        the parameter name and list position for each parameter described at
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        each location in the parameter table associated with the given
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        function. Where no parameter details are provided at a particular
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        location within a parameter table, "-" is given. The name and list
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        position are separated by a colon (":").
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        ----
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        The attribute table is presented as a table in the following format:
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        qualified name " " attribute identifiers
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        Instead of attribute names, identifiers defined according to the order
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        given in the "attrnames" file are employed to denote the attributes
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        featured in each type's structure. Where no attribute is provided at a
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        particular location within a structure, "-" is given.
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        ----
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        The parameter table is presented as a table in the following format:
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        qualified name " " parameter details
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        Instead of parameter names, identifiers defined according to the order
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        given in the "paramnames" file are employed to denote the parameters
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        featured in each function's parameter table. Where no parameter is
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        provided at a particular location within a table, "-" is given.
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        ----
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        The ordered list of attribute names is given in the "attrnames" file.
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        ----
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        The ordered list of parameter names is given in the "paramnames" file.
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        ----
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        The ordered list of constant literals is given in the "constants" file.
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        """
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        f = open(join(self.output, "locations"), "w")
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        try:
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            for attrnames in self.locations:
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                print >>f, sorted_output(attrnames)
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        finally:
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            f.close()
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        f = open(join(self.output, "parameter_locations"), "w")
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        try:
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            for argnames in self.arg_locations:
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                print >>f, sorted_output(argnames)
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        finally:
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            f.close()
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        f = open(join(self.output, "instruction_plans"), "w")
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        try:
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            access_instructions = self.access_instructions.items()
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            access_instructions.sort()
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            for location, instructions in access_instructions:
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                print >>f, encode_access_location(location), "..."
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                for instruction in instructions:
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                    print >>f, encode_instruction(instruction)
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                print >>f
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        finally:
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            f.close()
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        f = open(join(self.output, "structures"), "w")
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        try:
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            structures = self.structures.items()
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            structures.sort()
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            for name, attrnames in structures:
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                print >>f, name, ", ".join([s or "-" for s in attrnames])
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        finally:
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            f.close()
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        f = open(join(self.output, "parameters"), "w")
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        try:
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            parameters = self.parameters.items()
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            parameters.sort()
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            for name, argnames in parameters:
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                print >>f, name, ", ".join([s and ("%s:%d" % s) or "-" for s in argnames])
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        finally:
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            f.close()
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        f = open(join(self.output, "attrtable"), "w")
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        try:
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            attr_table = self.attr_table.items()
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            attr_table.sort()
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            for name, attrcodes in attr_table:
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                print >>f, name, ", ".join([i is not None and str(i) or "-" for i in attrcodes])
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        finally:
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            f.close()
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        f = open(join(self.output, "paramtable"), "w")
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        try:
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            param_table = self.param_table.items()
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            param_table.sort()
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            for name, paramcodes in param_table:
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                print >>f, name, ", ".join([s and ("%d:%d" % s) or "-" for s in paramcodes])
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        finally:
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            f.close()
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        f = open(join(self.output, "attrnames"), "w")
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        try:
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            for name in self.all_attrnames:
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                print >>f, name
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        finally:
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            f.close()
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        f = open(join(self.output, "paramnames"), "w")
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        try:
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            for name in self.all_paramnames:
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                print >>f, name
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        finally:
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            f.close()
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        f = open(join(self.output, "constants"), "w")
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        try:
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            constants = []
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            for (value, value_type, encoding), n in self.constants.items():
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                constants.append((n, value_type, encoding, value))
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            constants.sort()
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            for n, value_type, encoding, value in constants:
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                print >>f, value_type, encoding or "{}", repr(value)
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        finally:
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            f.close()
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    def populate_objects(self):
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        "Populate objects using attribute and usage information."
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        all_attrs = {}
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        # Partition attributes into separate sections so that class and instance
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        # attributes are treated separately.
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        for source, objtype in [
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            (self.importer.all_class_attrs, "<class>"),
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            (self.importer.all_instance_attrs, "<instance>"),
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            (self.importer.all_module_attrs, "<module>")
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            ]:
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            for name, attrs in source.items():
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                all_attrs[(objtype, name)] = attrs
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        self.locations = get_allocated_locations(all_attrs, get_attributes_and_sizes)
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    def populate_parameters(self):
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        "Populate parameter tables using parameter information."
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        self.arg_locations = [set()] + get_allocated_locations(self.importer.function_parameters, get_parameters_and_sizes)
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    def position_attributes(self):
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        "Position specific attribute references."
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        # Reverse the location mappings.
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        attr_locations = self.attr_locations = {}
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        for i, attrnames in enumerate(self.locations):
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            for attrname in attrnames:
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                attr_locations[attrname] = i
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        # Record the structures.
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        for source, objtype in [
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            (self.importer.all_class_attrs, "<class>"),
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            (self.importer.all_instance_attrs, "<instance>"),
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            (self.importer.all_module_attrs, "<module>")
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            ]:
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            for name, attrnames in source.items():
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                key = Reference(objtype, name)
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                l = self.structures[key] = [None] * len(attrnames)
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                for attrname in attrnames:
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                    position = attr_locations[attrname]
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                    if position >= len(l):
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                        l.extend([None] * (position - len(l) + 1))
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                    l[position] = attrname
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    def initialise_access_instructions(self):
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        "Expand access plans into instruction sequences."
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        for access_location, access_plan in self.deducer.access_plans.items():
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            # Obtain the access details.
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            name, test, test_type, base, \
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                traversed, traversal_modes, attrnames, \
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                context, context_test, \
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                first_method, final_method, \
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                origin, accessor_kinds = access_plan
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            instructions = []
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            emit = instructions.append
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            if base:
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                original_accessor = base
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            else:
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                original_accessor = "<expr>" # use a generic placeholder
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            # Prepare for any first attribute access.
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            if traversed:
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                attrname = traversed[0]
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                del traversed[0]
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            elif attrnames:
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                attrname = attrnames[0]
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                del attrnames[0]
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            # Perform the first access explicitly if at least one operation
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            # requires it.
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            access_first_attribute = final_method in ("access", "assign") or traversed or attrnames
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            # Determine whether the first access involves assignment.
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            assigning = not traversed and not attrnames and final_method == "assign"
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            set_accessor = assigning and "__set_target_accessor" or "__set_accessor"
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            stored_accessor = assigning and "<target_accessor>" or "<accessor>"
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            # Set the context if already available.
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            if context == "base":
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                accessor = context_var = (base,)
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            elif context == "original-accessor":
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                # Prevent re-evaluation of any dynamic expression by storing it.
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                if original_accessor == "<expr>":
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                    emit((set_accessor, original_accessor))
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                    accessor = context_var = (stored_accessor,)
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                else:
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                    accessor = context_var = (original_accessor,)
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            # Assigning does not set the context.
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            elif context in ("final-accessor", "unset") and access_first_attribute:
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                # Prevent re-evaluation of any dynamic expression by storing it.
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                if original_accessor == "<expr>":
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                    emit((set_accessor, original_accessor))
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                    accessor = (stored_accessor,)
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                else:
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                    accessor = (original_accessor,)
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            # Apply any test.
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            if test[0] == "test":
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                accessor = ("__%s_%s_%s" % test, accessor, test_type)
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            # Perform the first or final access.
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            # The access only needs performing if the resulting accessor is used.
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            remaining = len(traversed + attrnames)
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            if access_first_attribute:
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                if first_method == "relative-class":
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                    if assigning:
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                        emit(("__store_via_class", accessor, attrname, "<assexpr>"))
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                    else:
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                        accessor = ("__load_via_class", accessor, attrname)
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                elif first_method == "relative-object":
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                    if assigning:
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                        emit(("__store_via_object", accessor, attrname, "<assexpr>"))
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                    else:
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                        accessor = ("__load_via_object", accessor, attrname)
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                elif first_method == "relative-object-class":
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                    if assigning:
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                        emit(("__get_class_and_store", accessor, attrname, "<assexpr>"))
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                    else:
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                        accessor = ("__get_class_and_load", accessor, attrname)
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                elif first_method == "check-class":
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                    if assigning:
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                        emit(("__check_and_store_via_class", accessor, attrname, "<assexpr>"))
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                    else:
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                        accessor = ("__check_and_load_via_class", accessor, attrname)
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                elif first_method == "check-object":
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                    if assigning:
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                        emit(("__check_and_store_via_object", accessor, attrname, "<assexpr>"))
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                    else:
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                        accessor = ("__check_and_load_via_object", accessor, attrname)
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                elif first_method == "check-object-class":
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                    if assigning:
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                        emit(("__check_and_store_via_any", accessor, attrname, "<assexpr>"))
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                    else:
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                        accessor = ("__check_and_load_via_any", accessor, attrname)
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            # Traverse attributes using the accessor.
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            if traversed:
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                for attrname, traversal_mode in zip(traversed, traversal_modes):
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                    assigning = remaining == 1 and final_method == "assign"
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                    # Set the context, if appropriate.
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                    if remaining == 1 and final_method != "assign" and context == "final-accessor":
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                        emit(("__set_context", accessor))
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                        accessor = context_var = "<context>"
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                    # Perform the access only if not achieved directly.
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                    if remaining > 1 or final_method in ("access", "assign"):
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                        if traversal_mode == "class":
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                            if assigning:
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                                emit(("__store_via_class", accessor, attrname, "<assexpr>"))
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                            else:
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                                accessor = ("__load_via_class", accessor, attrname)
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                        else:
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                            if assigning:
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                                emit(("__store_via_object", accessor, attrname, "<assexpr>"))
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                            else:
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                                accessor = ("__load_via_object", accessor, attrname)
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                    remaining -= 1
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            if attrnames:
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                for attrname in attrnames:
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                    assigning = remaining == 1 and final_method == "assign"
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                    # Set the context, if appropriate.
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                    if remaining == 1 and final_method != "assign" and context == "final-accessor":
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                        emit(("__set_context", accessor))
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                        accessor = context_var = "<context>"
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                    # Perform the access only if not achieved directly.
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                    if remaining > 1 or final_method in ("access", "assign"):
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                        if assigning:
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                            emit(("__check_and_store_via_any", accessor, attrname, "<assexpr>"))
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                        else:
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                            accessor = ("__check_and_load_via_any", accessor, attrname)
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                    remaining -= 1
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            # Define or emit the means of accessing the actual target.
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            if final_method == "static-assign":
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                parent, attrname = origin.rsplit(".", 1)
paul@118 511
                emit(("__store_via_object", parent, attrname, "<assexpr>"))
paul@118 512
paul@200 513
            elif final_method in ("static", "static-invoke"):
paul@200 514
                parent, attrname = origin.rsplit(".", 1)
paul@200 515
                accessor = ("__load_static", parent, origin)
paul@118 516
paul@118 517
            # Wrap accesses in context operations.
paul@118 518
paul@102 519
            if context_test == "test":
paul@113 520
                emit(("__test_context", context_var, accessor))
paul@118 521
paul@102 522
            elif context_test == "replace":
paul@118 523
paul@118 524
                # Static invocation targets have a context added but no other
paul@118 525
                # transformation performed.
paul@118 526
paul@118 527
                if final_method == "static-invoke":
paul@118 528
                    emit(("__update_context", context_var, accessor))
paul@118 529
paul@118 530
                # Other invocation targets gain a context and have the bound
paul@118 531
                # version of the callable activated.
paul@118 532
paul@118 533
                else:
paul@118 534
                    emit(("__replace_context", context_var, accessor))
paul@118 535
paul@103 536
            elif final_method not in ("assign", "static-assign"):
paul@103 537
                emit(accessor)
paul@94 538
paul@94 539
            self.access_instructions[access_location] = instructions
paul@234 540
            self.accessor_kinds[access_location] = accessor_kinds
paul@92 541
paul@92 542
    def get_ambiguity_for_attributes(self, attrnames):
paul@92 543
paul@92 544
        """
paul@92 545
        Return a list of attribute position alternatives corresponding to each
paul@92 546
        of the given 'attrnames'.
paul@92 547
        """
paul@92 548
paul@92 549
        ambiguity = []
paul@92 550
paul@92 551
        for attrname in attrnames:
paul@92 552
            position = self.attr_locations[attrname]
paul@92 553
            ambiguity.append(len(self.locations[position]))
paul@92 554
paul@92 555
        return ambiguity
paul@92 556
paul@92 557
    def position_parameters(self):
paul@92 558
paul@92 559
        "Position the parameters for each function's parameter table."
paul@92 560
paul@92 561
        # Reverse the location mappings.
paul@92 562
paul@92 563
        param_locations = self.param_locations = {}
paul@92 564
paul@92 565
        for i, argnames in enumerate(self.arg_locations):
paul@125 566
paul@130 567
            # Position the arguments.
paul@125 568
paul@92 569
            for argname in argnames:
paul@130 570
                param_locations[argname] = i
paul@92 571
paul@92 572
        for name, argnames in self.importer.function_parameters.items():
paul@125 573
paul@125 574
            # Allocate an extra context parameter in the table.
paul@125 575
paul@133 576
            l = self.parameters[name] = [None] + [None] * len(argnames)
paul@92 577
paul@92 578
            # Store an entry for the name along with the name's position in the
paul@92 579
            # parameter list.
paul@92 580
paul@92 581
            for pos, argname in enumerate(argnames):
paul@125 582
paul@125 583
                # Position the argument in the table.
paul@125 584
paul@92 585
                position = param_locations[argname]
paul@92 586
                if position >= len(l):
paul@92 587
                    l.extend([None] * (position - len(l) + 1))
paul@125 588
paul@125 589
                # Indicate an argument list position starting from 1 (after the
paul@125 590
                # initial context argument).
paul@125 591
paul@133 592
                l[position] = (argname, pos + 1)
paul@92 593
paul@92 594
    def populate_tables(self):
paul@92 595
paul@92 596
        """
paul@92 597
        Assign identifiers to attributes and encode structure information using
paul@92 598
        these identifiers.
paul@92 599
        """
paul@92 600
paul@92 601
        self.all_attrnames, d = self._get_name_mapping(self.attr_locations)
paul@92 602
paul@92 603
        # Record the numbers indicating the locations of the names.
paul@92 604
paul@92 605
        for key, attrnames in self.structures.items():
paul@92 606
            l = self.attr_table[key] = []
paul@92 607
            for attrname in attrnames:
paul@92 608
                if attrname is None:
paul@92 609
                    l.append(None)
paul@92 610
                else:
paul@92 611
                    l.append(d[attrname])
paul@92 612
paul@92 613
        self.all_paramnames, d = self._get_name_mapping(self.param_locations)
paul@92 614
paul@92 615
        # Record the numbers indicating the locations of the names.
paul@92 616
paul@92 617
        for key, values in self.parameters.items():
paul@92 618
            l = self.param_table[key] = []
paul@92 619
            for value in values:
paul@92 620
                if value is None:
paul@92 621
                    l.append(None)
paul@92 622
                else:
paul@92 623
                    name, pos = value
paul@92 624
                    l.append((d[name], pos))
paul@92 625
paul@92 626
    def _get_name_mapping(self, locations):
paul@92 627
paul@92 628
        """
paul@92 629
        Get a sorted list of names from 'locations', then map them to
paul@92 630
        identifying numbers. Return the list and the mapping.
paul@92 631
        """
paul@92 632
paul@92 633
        all_names = locations.keys()
paul@92 634
        all_names.sort()
paul@92 635
        return all_names, dict([(name, i) for i, name in enumerate(all_names)])
paul@92 636
paul@92 637
    def populate_constants(self):
paul@92 638
paul@92 639
        """
paul@92 640
        Obtain a collection of distinct constant literals, building a mapping
paul@92 641
        from constant references to those in this collection.
paul@92 642
        """
paul@92 643
paul@92 644
        # Obtain mappings from constant values to identifiers.
paul@92 645
paul@92 646
        self.constants = {}
paul@92 647
paul@92 648
        for path, constants in self.importer.all_constants.items():
paul@92 649
paul@397 650
            # Record constants and obtain a number for them.
paul@406 651
            # Each constant is actually (value, value_type, encoding).
paul@92 652
paul@397 653
            for constant, n in constants.items():
paul@92 654
                add_counter_item(self.constants, constant)
paul@92 655
paul@92 656
        self.constant_numbers = {}
paul@92 657
paul@397 658
        for name, constant in self.importer.all_constant_values.items():
paul@397 659
            self.constant_numbers[name] = self.constants[constant]
paul@92 660
paul@92 661
def combine_rows(a, b):
paul@92 662
    c = []
paul@92 663
    for i, j in zip(a, b):
paul@92 664
        if i is None or j is None:
paul@92 665
            c.append(i or j)
paul@92 666
        else:
paul@92 667
            return None
paul@92 668
    return c
paul@92 669
paul@92 670
def get_attributes_and_sizes(d):
paul@92 671
paul@92 672
    """
paul@92 673
    Return a matrix of attributes, a list of type names corresponding to columns
paul@92 674
    in the matrix, and a list of ranked sizes each indicating...
paul@92 675
paul@92 676
     * a weighted size depending on the kind of object
paul@92 677
     * the minimum size of an object employing an attribute
paul@92 678
     * the number of free columns in the matrix for the attribute
paul@92 679
     * the attribute name itself
paul@92 680
    """
paul@92 681
paul@92 682
    attrs = {}
paul@92 683
    sizes = {}
paul@92 684
    objtypes = {}
paul@92 685
paul@92 686
    for name, attrnames in d.items():
paul@92 687
        objtype, _name = name
paul@92 688
paul@92 689
        for attrname in attrnames:
paul@92 690
paul@92 691
            # Record each type supporting the attribute.
paul@92 692
paul@92 693
            init_item(attrs, attrname, set)
paul@92 694
            attrs[attrname].add(name)
paul@92 695
paul@92 696
            # Maintain a record of the smallest object size supporting the given
paul@92 697
            # attribute.
paul@92 698
paul@92 699
            if not sizes.has_key(attrname):
paul@92 700
                sizes[attrname] = len(attrnames)
paul@92 701
            else:
paul@92 702
                sizes[attrname] = min(sizes[attrname], len(attrnames))
paul@92 703
paul@92 704
            # Record the object types/kinds supporting the attribute.
paul@92 705
paul@92 706
            init_item(objtypes, attrname, set)
paul@92 707
            objtypes[attrname].add(objtype)
paul@92 708
paul@92 709
    # Obtain attribute details in order of size and occupancy.
paul@92 710
paul@92 711
    names = d.keys()
paul@92 712
paul@92 713
    rsizes = []
paul@92 714
    for attrname, size in sizes.items():
paul@92 715
        priority = "<instance>" in objtypes[attrname] and 0.5 or 1
paul@92 716
        occupied = len(attrs[attrname])
paul@92 717
        key = (priority * size, size, len(names) - occupied, attrname)
paul@92 718
        rsizes.append(key)
paul@92 719
paul@92 720
    rsizes.sort()
paul@92 721
paul@92 722
    # Make a matrix of attributes.
paul@92 723
paul@92 724
    matrix = {}
paul@92 725
    for attrname, types in attrs.items():
paul@92 726
        row = []
paul@92 727
        for name in names:
paul@92 728
            if name in types:
paul@92 729
                row.append(attrname)
paul@92 730
            else:
paul@92 731
                row.append(None)
paul@92 732
        matrix[attrname] = row
paul@92 733
paul@92 734
    return matrix, names, rsizes
paul@92 735
paul@92 736
def get_parameters_and_sizes(d):
paul@92 737
paul@92 738
    """
paul@92 739
    Return a matrix of parameters, a list of functions corresponding to columns
paul@92 740
    in the matrix, and a list of ranked sizes each indicating...
paul@92 741
paul@92 742
     * a weighted size depending on the kind of object
paul@92 743
     * the minimum size of a parameter list employing a parameter
paul@92 744
     * the number of free columns in the matrix for the parameter
paul@92 745
     * the parameter name itself
paul@92 746
paul@92 747
    This is a slightly simpler version of the above 'get_attributes_and_sizes'
paul@92 748
    function.
paul@92 749
    """
paul@92 750
paul@92 751
    params = {}
paul@92 752
    sizes = {}
paul@92 753
paul@92 754
    for name, argnames in d.items():
paul@92 755
        for argname in argnames:
paul@92 756
paul@92 757
            # Record each function supporting the parameter.
paul@92 758
paul@92 759
            init_item(params, argname, set)
paul@92 760
            params[argname].add(name)
paul@92 761
paul@92 762
            # Maintain a record of the smallest parameter list supporting the
paul@92 763
            # given parameter.
paul@92 764
paul@92 765
            if not sizes.has_key(argname):
paul@92 766
                sizes[argname] = len(argnames)
paul@92 767
            else:
paul@92 768
                sizes[argname] = min(sizes[argname], len(argnames))
paul@92 769
paul@92 770
    # Obtain attribute details in order of size and occupancy.
paul@92 771
paul@92 772
    names = d.keys()
paul@92 773
paul@92 774
    rsizes = []
paul@92 775
    for argname, size in sizes.items():
paul@92 776
        occupied = len(params[argname])
paul@92 777
        key = (size, size, len(names) - occupied, argname)
paul@92 778
        rsizes.append(key)
paul@92 779
paul@92 780
    rsizes.sort()
paul@92 781
paul@92 782
    # Make a matrix of parameters.
paul@92 783
paul@92 784
    matrix = {}
paul@92 785
    for argname, types in params.items():
paul@92 786
        row = []
paul@92 787
        for name in names:
paul@92 788
            if name in types:
paul@92 789
                row.append(argname)
paul@92 790
            else:
paul@92 791
                row.append(None)
paul@92 792
        matrix[argname] = row
paul@92 793
paul@92 794
    return matrix, names, rsizes
paul@92 795
paul@92 796
def get_allocated_locations(d, fn):
paul@92 797
paul@92 798
    """
paul@92 799
    Return a list where each element corresponds to a structure location and
paul@92 800
    contains a set of attribute names that may be stored at that location, given
paul@92 801
    a mapping 'd' whose keys are (object type, object name) tuples and whose
paul@92 802
    values are collections of attributes.
paul@92 803
    """
paul@92 804
paul@92 805
    matrix, names, rsizes = fn(d)
paul@92 806
    allocated = []
paul@92 807
paul@92 808
    x = 0
paul@92 809
    while x < len(rsizes):
paul@92 810
        weight, size, free, attrname = rsizes[x]
paul@92 811
        base = matrix[attrname]
paul@92 812
        y = x + 1
paul@92 813
        while y < len(rsizes):
paul@92 814
            _weight, _size, _free, _attrname = rsizes[y]
paul@92 815
            occupied = len(names) - _free
paul@92 816
            if occupied > free:
paul@92 817
                break
paul@92 818
            new = combine_rows(base, matrix[_attrname])
paul@92 819
            if new:
paul@92 820
                del matrix[_attrname]
paul@92 821
                del rsizes[y]
paul@92 822
                base = new
paul@92 823
                free -= occupied
paul@92 824
            else:
paul@92 825
                y += 1
paul@92 826
        allocated.append(base)
paul@92 827
        x += 1
paul@92 828
paul@92 829
    # Return the list of attribute names from each row of the allocated
paul@92 830
    # attributes table.
paul@92 831
paul@130 832
    locations = []
paul@130 833
    for attrnames in allocated:
paul@130 834
        l = set()
paul@130 835
        for attrname in attrnames:
paul@130 836
            if attrname:
paul@130 837
                l.add(attrname)
paul@130 838
        locations.append(l)
paul@130 839
    return locations
paul@92 840
paul@92 841
# vim: tabstop=4 expandtab shiftwidth=4