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Equation v 0.0.1-alpha
This commit is contained in:
Arthur Lu
parent
c451b1ebb9
commit
2f280bedf6
1
.gitignore
vendored
1
.gitignore
vendored
@ -41,3 +41,4 @@ analysis-master/dist
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data-analysis/config/
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analysis-master/tra_analysis/equation/__pycache__/*
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analysis-master/tra_analysis/equation/parser/__pycache__/*
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analysis-master/tra_analysis/equation/parser/Hybrid_Utils/__pycache__/*
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@ -2,37 +2,36 @@
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# Written by Arthur Lu
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# Notes:
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# this should be imported as a python module using 'from tra_analysis.Equation import Expression'
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# adapted from https://github.com/pyparsing/pyparsing/blob/master/examples/fourFn.py
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# TODO:
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# - add option to pick parser backend
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# - fix unit tests
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# setup:
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__version__ = "0.0.1-alpha"
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__changelog__ = """changelog:
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0.0.1-alpha:
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- used the HybridExpressionParser as backend for Expression
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"""
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__author__ = (
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"Arthur Lu <learthurgo@gmail.com>",
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)
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import re
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from .parser import BNF
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__all__ = {
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"Expression"
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}
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class Expression():
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import re
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from .parser import BNF, RegexInplaceParser, HybridExpressionParser, Core, equation_base
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class Expression(HybridExpressionParser):
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expression = None
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protected = list(BNF().fn.keys())
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core = None
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def __init__(self, s):
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if(self.validate(s)):
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self.expression = s
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else:
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pass
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def validate(self, s):
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return true
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def substitute(self, var, value):
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pass
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def __init__(self,expression,argorder=[],*args,**kwargs):
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self.core = Core()
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equation_base.equation_extend(self.core)
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self.core.recalculateFMatch()
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super().__init__(self.core, expression, argorder=[],*args,**kwargs)
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@ -1 +1,22 @@
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# Titan Robotics Team 2022: Expression submodule
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# Written by Arthur Lu
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# Notes:
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# this should be imported as a python module using 'from tra_analysis import Equation'
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# setup:
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__version__ = "0.0.1-alpha"
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__changelog__ = """changelog:
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0.0.1-alpha:
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- made first prototype of Expression
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"""
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__author__ = (
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"Arthur Lu <learthurgo@gmail.com>",
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)
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__all__ = {
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"Expression"
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}
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from .Expression import Expression
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521
analysis-master/tra_analysis/equation/parser/Hybrid.py
Normal file
521
analysis-master/tra_analysis/equation/parser/Hybrid.py
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@ -0,0 +1,521 @@
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from .Hybrid_Utils import Core, ExpressionFunction, ExpressionVariable, ExpressionValue
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import sys
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if sys.version_info >= (3,):
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xrange = range
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basestring = str
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class HybridExpressionParser(object):
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def __init__(self,core,expression,argorder=[],*args,**kwargs):
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super(HybridExpressionParser,self).__init__(*args,**kwargs)
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if isinstance(expression,type(self)): # clone the object
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self.core = core
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self.__args = list(expression.__args)
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self.__vars = dict(expression.__vars) # intenral array of preset variables
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self.__argsused = set(expression.__argsused)
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self.__expr = list(expression.__expr)
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self.variables = {} # call variables
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else:
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self.__expression = expression
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self.__args = argorder;
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self.__vars = {} # intenral array of preset variables
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self.__argsused = set()
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self.__expr = [] # compiled equation tokens
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self.variables = {} # call variables
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self.__compile()
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del self.__expression
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def __getitem__(self, name):
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if name in self.__argsused:
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if name in self.__vars:
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return self.__vars[name]
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else:
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return None
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else:
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raise KeyError(name)
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def __setitem__(self,name,value):
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if name in self.__argsused:
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self.__vars[name] = value
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else:
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raise KeyError(name)
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def __delitem__(self,name):
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if name in self.__argsused:
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if name in self.__vars:
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del self.__vars[name]
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else:
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raise KeyError(name)
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def __contains__(self, name):
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return name in self.__argsused
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def __call__(self,*args,**kwargs):
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if len(self.__expr) == 0:
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return None
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self.variables = {}
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self.variables.update(self.core.constants)
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self.variables.update(self.__vars)
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if len(args) > len(self.__args):
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raise TypeError("<{0:s}.{1:s}({2:s}) object at {3:0=#10x}>() takes at most {4:d} arguments ({5:d} given)".format(
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type(self).__module__,type(self).__name__,repr(self),id(self),len(self.__args),len(args)))
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for i in xrange(len(args)):
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if i < len(self.__args):
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if self.__args[i] in kwargs:
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raise TypeError("<{0:s}.{1:s}({2:s}) object at {3:0=#10x}>() got multiple values for keyword argument '{4:s}'".format(
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type(self).__module__,type(self).__name__,repr(self),id(self),self.__args[i]))
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self.variables[self.__args[i]] = args[i]
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self.variables.update(kwargs)
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for arg in self.__argsused:
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if arg not in self.variables:
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min_args = len(self.__argsused - (set(self.__vars.keys()) | set(self.core.constants.keys())))
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raise TypeError("<{0:s}.{1:s}({2:s}) object at {3:0=#10x}>() takes at least {4:d} arguments ({5:d} given) '{6:s}' not defined".format(
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type(self).__module__,type(self).__name__,repr(self),id(self),min_args,len(args)+len(kwargs),arg))
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expr = self.__expr[::-1]
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args = []
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while len(expr) > 0:
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t = expr.pop()
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r = t(args,self)
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args.append(r)
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if len(args) > 1:
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return args
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else:
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return args[0]
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def __next(self,__expect_op):
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if __expect_op:
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m = self.core.gematch.match(self.__expression)
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if m != None:
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self.__expression = self.__expression[m.end():]
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g = m.groups()
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return g[0],'CLOSE'
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m = self.core.smatch.match(self.__expression)
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if m != None:
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self.__expression = self.__expression[m.end():]
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return ",",'SEP'
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m = self.core.omatch.match(self.__expression)
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if m != None:
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self.__expression = self.__expression[m.end():]
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g = m.groups()
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return g[0],'OP'
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else:
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m = self.core.gsmatch.match(self.__expression)
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if m != None:
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self.__expression = self.__expression[m.end():]
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g = m.groups()
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return g[0],'OPEN'
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m = self.core.vmatch.match(self.__expression)
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if m != None:
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self.__expression = self.__expression[m.end():]
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g = m.groupdict(0)
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if g['dec']:
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if g["ivalue"]:
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return complex(int(g["rsign"]+"1")*float(g["rvalue"])*10**int(g["rexpoent"]),int(g["isign"]+"1")*float(g["ivalue"])*10**int(g["iexpoent"])),'VALUE'
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elif g["rexpoent"] or g["rvalue"].find('.')>=0:
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return int(g["rsign"]+"1")*float(g["rvalue"])*10**int(g["rexpoent"]),'VALUE'
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else:
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return int(g["rsign"]+"1")*int(g["rvalue"]),'VALUE'
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elif g["hex"]:
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return int(g["hexsign"]+"1")*int(g["hexvalue"],16),'VALUE'
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elif g["oct"]:
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return int(g["octsign"]+"1")*int(g["octvalue"],8),'VALUE'
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elif g["bin"]:
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return int(g["binsign"]+"1")*int(g["binvalue"],2),'VALUE'
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else:
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raise NotImplemented("'{0:s}' Values Not Implemented Yet".format(m.string))
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m = self.core.nmatch.match(self.__expression)
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if m != None:
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self.__expression = self.__expression[m.end():]
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g = m.groups()
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return g[0],'NAME'
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m = self.core.fmatch.match(self.__expression)
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if m != None:
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self.__expression = self.__expression[m.end():]
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g = m.groups()
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return g[0],'FUNC'
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m = self.core.umatch.match(self.__expression)
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if m != None:
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self.__expression = self.__expression[m.end():]
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g = m.groups()
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return g[0],'UNARY'
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return None
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def show(self):
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"""Show RPN tokens
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This will print out the internal token list (RPN) of the expression
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one token perline.
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"""
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for expr in self.__expr:
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print(expr)
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def __str__(self):
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"""str(fn)
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Generates a Printable version of the Expression
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Returns
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-------
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str
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Latex String respresation of the Expression, suitable for rendering the equation
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"""
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expr = self.__expr[::-1]
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if len(expr) == 0:
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return ""
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args = [];
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while len(expr) > 0:
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t = expr.pop()
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r = t.toStr(args,self)
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args.append(r)
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if len(args) > 1:
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return args
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else:
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return args[0]
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def __repr__(self):
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"""repr(fn)
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Generates a String that correctrly respresents the equation
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Returns
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-------
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str
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Convert the Expression to a String that passed to the constructor, will constuct
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an identical equation object (in terms of sequence of tokens, and token type/value)
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"""
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expr = self.__expr[::-1]
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if len(expr) == 0:
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return ""
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args = [];
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while len(expr) > 0:
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t = expr.pop()
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r = t.toRepr(args,self)
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args.append(r)
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if len(args) > 1:
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return args
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else:
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return args[0]
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def __iter__(self):
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return iter(self.__argsused)
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def __lt__(self, other):
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if isinstance(other, Expression):
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return repr(self) < repr(other)
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else:
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raise TypeError("{0:s} is not an {1:s} Object, and can't be compared to an Expression Object".format(repr(other), type(other)))
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def __eq__(self, other):
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if isinstance(other, Expression):
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return repr(self) == repr(other)
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else:
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raise TypeError("{0:s} is not an {1:s} Object, and can't be compared to an Expression Object".format(repr(other), type(other)))
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def __combine(self,other,op):
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if op not in self.core.ops or not isinstance(other,(int,float,complex,type(self),basestring)):
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return NotImplemented
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else:
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obj = type(self)(self)
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if isinstance(other,(int,float,complex)):
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obj.__expr.append(ExpressionValue(other))
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else:
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if isinstance(other,basestring):
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try:
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other = type(self)(other)
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except:
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raise SyntaxError("Can't Convert string, \"{0:s}\" to an Expression Object".format(other))
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obj.__expr += other.__expr
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obj.__argsused |= other.__argsused
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for v in other.__args:
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if v not in obj.__args:
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obj.__args.append(v)
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for k,v in other.__vars.items():
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if k not in obj.__vars:
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obj.__vars[k] = v
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elif v != obj.__vars[k]:
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raise RuntimeError("Predifined Variable Conflict in '{0:s}' two differing values defined".format(k))
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fn = self.core.ops[op]
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obj.__expr.append(ExpressionFunction(fn['func'],fn['args'],fn['str'],fn['latex'],op,False))
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return obj
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def __rcombine(self,other,op):
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if op not in self.core.ops or not isinstance(other,(int,float,complex,type(self),basestring)):
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return NotImplemented
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else:
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obj = type(self)(self)
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if isinstance(other,(int,float,complex)):
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obj.__expr.insert(0,ExpressionValue(other))
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else:
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if isinstance(other,basestring):
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try:
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other = type(self)(other)
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except:
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raise SyntaxError("Can't Convert string, \"{0:s}\" to an Expression Object".format(other))
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obj.__expr = other.__expr + self.__expr
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obj.__argsused = other.__argsused | self.__expr
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__args = other.__args
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for v in obj.__args:
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if v not in __args:
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__args.append(v)
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obj.__args = __args
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for k,v in other.__vars.items():
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if k not in obj.__vars:
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obj.__vars[k] = v
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elif v != obj.__vars[k]:
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raise RuntimeError("Predifined Variable Conflict in '{0:s}' two differing values defined".format(k))
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fn = self.core.ops[op]
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obj.__expr.append(ExpressionFunction(fn['func'],fn['args'],fn['str'],fn['latex'],op,False))
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return obj
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def __icombine(self,other,op):
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if op not in self.core.ops or not isinstance(other,(int,float,complex,type(self),basestring)):
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return NotImplemented
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else:
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obj = self
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if isinstance(other,(int,float,complex)):
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obj.__expr.append(ExpressionValue(other))
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else:
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if isinstance(other,basestring):
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try:
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other = type(self)(other)
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except:
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raise SyntaxError("Can't Convert string, \"{0:s}\" to an Expression Object".format(other))
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obj.__expr += other.__expr
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obj.__argsused |= other.__argsused
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for v in other.__args:
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if v not in obj.__args:
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obj.__args.append(v)
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for k,v in other.__vars.items():
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if k not in obj.__vars:
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obj.__vars[k] = v
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elif v != obj.__vars[k]:
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raise RuntimeError("Predifined Variable Conflict in '{0:s}' two differing values defined".format(k))
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fn = self.core.ops[op]
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obj.__expr.append(ExpressionFunction(fn['func'],fn['args'],fn['str'],fn['latex'],op,False))
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return obj
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def __apply(self,op):
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fn = self.core.unary_ops[op]
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obj = type(self)(self)
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obj.__expr.append(ExpressionFunction(fn['func'],1,fn['str'],fn['latex'],op,False))
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return obj
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def __applycall(self,op):
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fn = self.core.functions[op]
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if 1 not in fn['args'] or '*' not in fn['args']:
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raise RuntimeError("Can't Apply {0:s} function, dosen't accept only 1 argument".format(op))
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obj = type(self)(self)
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obj.__expr.append(ExpressionFunction(fn['func'],1,fn['str'],fn['latex'],op,False))
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return obj
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def __add__(self,other):
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return self.__combine(other,'+')
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def __sub__(self,other):
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return self.__combine(other,'-')
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def __mul__(self,other):
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return self.__combine(other,'*')
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def __div__(self,other):
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return self.__combine(other,'/')
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def __truediv__(self,other):
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return self.__combine(other,'/')
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def __pow__(self,other):
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return self.__combine(other,'^')
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def __mod__(self,other):
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return self.__combine(other,'%')
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def __and__(self,other):
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return self.__combine(other,'&')
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def __or__(self,other):
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return self.__combine(other,'|')
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def __xor__(self,other):
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return self.__combine(other,'</>')
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def __radd__(self,other):
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return self.__rcombine(other,'+')
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def __rsub__(self,other):
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return self.__rcombine(other,'-')
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def __rmul__(self,other):
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return self.__rcombine(other,'*')
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def __rdiv__(self,other):
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return self.__rcombine(other,'/')
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def __rtruediv__(self,other):
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return self.__rcombine(other,'/')
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def __rpow__(self,other):
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return self.__rcombine(other,'^')
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def __rmod__(self,other):
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return self.__rcombine(other,'%')
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def __rand__(self,other):
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return self.__rcombine(other,'&')
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def __ror__(self,other):
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return self.__rcombine(other,'|')
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def __rxor__(self,other):
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return self.__rcombine(other,'</>')
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def __iadd__(self,other):
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return self.__icombine(other,'+')
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def __isub__(self,other):
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return self.__icombine(other,'-')
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def __imul__(self,other):
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return self.__icombine(other,'*')
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def __idiv__(self,other):
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return self.__icombine(other,'/')
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def __itruediv__(self,other):
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return self.__icombine(other,'/')
|
||||
|
||||
def __ipow__(self,other):
|
||||
return self.__icombine(other,'^')
|
||||
|
||||
def __imod__(self,other):
|
||||
return self.__icombine(other,'%')
|
||||
|
||||
def __iand__(self,other):
|
||||
return self.__icombine(other,'&')
|
||||
|
||||
def __ior__(self,other):
|
||||
return self.__icombine(other,'|')
|
||||
|
||||
def __ixor__(self,other):
|
||||
return self.__icombine(other,'</>')
|
||||
|
||||
def __neg__(self):
|
||||
return self.__apply('-')
|
||||
|
||||
def __invert__(self):
|
||||
return self.__apply('!')
|
||||
|
||||
def __abs__(self):
|
||||
return self.__applycall('abs')
|
||||
|
||||
def __getfunction(self,op):
|
||||
if op[1] == 'FUNC':
|
||||
fn = self.core.functions[op[0]]
|
||||
fn['type'] = 'FUNC'
|
||||
elif op[1] == 'UNARY':
|
||||
fn = self.core.unary_ops[op[0]]
|
||||
fn['type'] = 'UNARY'
|
||||
fn['args'] = 1
|
||||
elif op[1] == 'OP':
|
||||
fn = self.core.ops[op[0]]
|
||||
fn['type'] = 'OP'
|
||||
return fn
|
||||
|
||||
def __compile(self):
|
||||
self.__expr = []
|
||||
stack = []
|
||||
argc = []
|
||||
__expect_op = False
|
||||
v = self.__next(__expect_op)
|
||||
while v != None:
|
||||
if not __expect_op and v[1] == "OPEN":
|
||||
stack.append(v)
|
||||
__expect_op = False
|
||||
elif __expect_op and v[1] == "CLOSE":
|
||||
op = stack.pop()
|
||||
while op[1] != "OPEN":
|
||||
fs = self.__getfunction(op)
|
||||
self.__expr.append(ExpressionFunction(fs['func'],fs['args'],fs['str'],fs['latex'],op[0],False))
|
||||
op = stack.pop()
|
||||
if len(stack) > 0 and stack[-1][0] in self.core.functions:
|
||||
op = stack.pop()
|
||||
fs = self.core.functions[op[0]]
|
||||
args = argc.pop()
|
||||
if fs['args'] != '+' and (args != fs['args'] and args not in fs['args']):
|
||||
raise SyntaxError("Invalid number of arguments for {0:s} function".format(op[0]))
|
||||
self.__expr.append(ExpressionFunction(fs['func'],args,fs['str'],fs['latex'],op[0],True))
|
||||
__expect_op = True
|
||||
elif __expect_op and v[0] == ",":
|
||||
argc[-1] += 1
|
||||
op = stack.pop()
|
||||
while op[1] != "OPEN":
|
||||
fs = self.__getfunction(op)
|
||||
self.__expr.append(ExpressionFunction(fs['func'],fs['args'],fs['str'],fs['latex'],op[0],False))
|
||||
op = stack.pop()
|
||||
stack.append(op)
|
||||
__expect_op = False
|
||||
elif __expect_op and v[0] in self.core.ops:
|
||||
fn = self.core.ops[v[0]]
|
||||
if len(stack) == 0:
|
||||
stack.append(v)
|
||||
__expect_op = False
|
||||
v = self.__next(__expect_op)
|
||||
continue
|
||||
op = stack.pop()
|
||||
if op[0] == "(":
|
||||
stack.append(op)
|
||||
stack.append(v)
|
||||
__expect_op = False
|
||||
v = self.__next(__expect_op)
|
||||
continue
|
||||
fs = self.__getfunction(op)
|
||||
while True:
|
||||
if (fn['prec'] >= fs['prec']):
|
||||
self.__expr.append(ExpressionFunction(fs['func'],fs['args'],fs['str'],fs['latex'],op[0],False))
|
||||
if len(stack) == 0:
|
||||
stack.append(v)
|
||||
break
|
||||
op = stack.pop()
|
||||
if op[0] == "(":
|
||||
stack.append(op)
|
||||
stack.append(v)
|
||||
break
|
||||
fs = self.__getfunction(op)
|
||||
else:
|
||||
stack.append(op)
|
||||
stack.append(v)
|
||||
break
|
||||
__expect_op = False
|
||||
elif not __expect_op and v[0] in self.core.unary_ops:
|
||||
fn = self.core.unary_ops[v[0]]
|
||||
stack.append(v)
|
||||
__expect_op = False
|
||||
elif not __expect_op and v[0] in self.core.functions:
|
||||
stack.append(v)
|
||||
argc.append(1)
|
||||
__expect_op = False
|
||||
elif not __expect_op and v[1] == 'NAME':
|
||||
self.__argsused.add(v[0])
|
||||
if v[0] not in self.__args:
|
||||
self.__args.append(v[0])
|
||||
self.__expr.append(ExpressionVariable(v[0]))
|
||||
__expect_op = True
|
||||
elif not __expect_op and v[1] == 'VALUE':
|
||||
self.__expr.append(ExpressionValue(v[0]))
|
||||
__expect_op = True
|
||||
else:
|
||||
raise SyntaxError("Invalid Token \"{0:s}\" in Expression, Expected {1:s}".format(v,"Op" if __expect_op else "Value"))
|
||||
v = self.__next(__expect_op)
|
||||
if len(stack) > 0:
|
||||
op = stack.pop()
|
||||
while op != "(":
|
||||
fs = self.__getfunction(op)
|
||||
self.__expr.append(ExpressionFunction(fs['func'],fs['args'],fs['str'],fs['latex'],op[0],False))
|
||||
if len(stack) > 0:
|
||||
op = stack.pop()
|
||||
else:
|
||||
break
|
||||
@ -0,0 +1,237 @@
|
||||
import math
|
||||
import sys
|
||||
import re
|
||||
|
||||
if sys.version_info >= (3,):
|
||||
xrange = range
|
||||
basestring = str
|
||||
|
||||
class ExpressionObject(object):
|
||||
def __init__(self,*args,**kwargs):
|
||||
super(ExpressionObject,self).__init__(*args,**kwargs)
|
||||
|
||||
def toStr(self,args,expression):
|
||||
return ""
|
||||
|
||||
def toRepr(self,args,expression):
|
||||
return ""
|
||||
|
||||
def __call__(self,args,expression):
|
||||
pass
|
||||
|
||||
class ExpressionValue(ExpressionObject):
|
||||
def __init__(self,value,*args,**kwargs):
|
||||
super(ExpressionValue,self).__init__(*args,**kwargs)
|
||||
self.value = value
|
||||
|
||||
def toStr(self,args,expression):
|
||||
if (isinstance(self.value,complex)):
|
||||
V = [self.value.real,self.value.imag]
|
||||
E = [0,0]
|
||||
B = [0,0]
|
||||
out = ["",""]
|
||||
for i in xrange(2):
|
||||
if V[i] == 0:
|
||||
E[i] = 0
|
||||
B[i] = 0
|
||||
else:
|
||||
E[i] = int(math.floor(math.log10(abs(V[i]))))
|
||||
B[i] = V[i]*10**-E[i]
|
||||
if E[i] in [0,1,2,3] and str(V[i])[-2:] == ".0":
|
||||
B[i] = int(V[i])
|
||||
E[i] = 0
|
||||
if E[i] in [-1,-2] and len(str(V[i])) <= 7:
|
||||
B[i] = V[i]
|
||||
E[i] = 0
|
||||
if i == 1:
|
||||
fmt = "{{0:+{0:s}}}"
|
||||
else:
|
||||
fmt = "{{0:-{0:s}}}"
|
||||
if type(B[i]) == int:
|
||||
out[i] += fmt.format('d').format(B[i])
|
||||
else:
|
||||
out[i] += fmt.format('.5f').format(B[i]).rstrip("0.")
|
||||
if i == 1:
|
||||
out[i] += "\\imath"
|
||||
if E[i] != 0:
|
||||
out[i] += "\\times10^{{{0:d}}}".format(E[i])
|
||||
return "\\left(" + ''.join(out) + "\\right)"
|
||||
elif (isinstance(self.value,float)):
|
||||
V = self.value
|
||||
E = 0
|
||||
B = 0
|
||||
out = ""
|
||||
if V == 0:
|
||||
E = 0
|
||||
B = 0
|
||||
else:
|
||||
E = int(math.floor(math.log10(abs(V))))
|
||||
B = V*10**-E
|
||||
if E in [0,1,2,3] and str(V)[-2:] == ".0":
|
||||
B = int(V)
|
||||
E = 0
|
||||
if E in [-1,-2] and len(str(V)) <= 7:
|
||||
B = V
|
||||
E = 0
|
||||
if type(B) == int:
|
||||
out += "{0:-d}".format(B)
|
||||
else:
|
||||
out += "{0:-.5f}".format(B).rstrip("0.")
|
||||
if E != 0:
|
||||
out += "\\times10^{{{0:d}}}".format(E)
|
||||
return "\\left(" + out + "\\right)"
|
||||
else:
|
||||
return out
|
||||
else:
|
||||
return str(self.value)
|
||||
|
||||
def toRepr(self,args,expression):
|
||||
return str(self.value)
|
||||
|
||||
def __call__(self,args,expression):
|
||||
return self.value
|
||||
|
||||
def __repr__(self):
|
||||
return "<{0:s}.{1:s}({2:s}) object at {3:0=#10x}>".format(type(self).__module__,type(self).__name__,str(self.value),id(self))
|
||||
|
||||
class ExpressionFunction(ExpressionObject):
|
||||
def __init__(self,function,nargs,form,display,id,isfunc,*args,**kwargs):
|
||||
super(ExpressionFunction,self).__init__(*args,**kwargs)
|
||||
self.function = function
|
||||
self.nargs = nargs
|
||||
self.form = form
|
||||
self.display = display
|
||||
self.id = id
|
||||
self.isfunc = isfunc
|
||||
|
||||
def toStr(self,args,expression):
|
||||
params = []
|
||||
for i in xrange(self.nargs):
|
||||
params.append(args.pop())
|
||||
if self.isfunc:
|
||||
return str(self.display.format(','.join(params[::-1])))
|
||||
else:
|
||||
return str(self.display.format(*params[::-1]))
|
||||
|
||||
def toRepr(self,args,expression):
|
||||
params = []
|
||||
for i in xrange(self.nargs):
|
||||
params.append(args.pop())
|
||||
if self.isfunc:
|
||||
return str(self.form.format(','.join(params[::-1])))
|
||||
else:
|
||||
return str(self.form.format(*params[::-1]))
|
||||
|
||||
def __call__(self,args,expression):
|
||||
params = []
|
||||
for i in xrange(self.nargs):
|
||||
params.append(args.pop())
|
||||
return self.function(*params[::-1])
|
||||
|
||||
def __repr__(self):
|
||||
return "<{0:s}.{1:s}({2:s},{3:d}) object at {4:0=#10x}>".format(type(self).__module__,type(self).__name__,str(self.id),self.nargs,id(self))
|
||||
|
||||
class ExpressionVariable(ExpressionObject):
|
||||
def __init__(self,name,*args,**kwargs):
|
||||
super(ExpressionVariable,self).__init__(*args,**kwargs)
|
||||
self.name = name
|
||||
|
||||
def toStr(self,args,expression):
|
||||
return str(self.name)
|
||||
|
||||
def toRepr(self,args,expression):
|
||||
return str(self.name)
|
||||
|
||||
def __call__(self,args,expression):
|
||||
if self.name in expression.variables:
|
||||
return expression.variables[self.name]
|
||||
else:
|
||||
return 0 # Default variables to return 0
|
||||
|
||||
def __repr__(self):
|
||||
return "<{0:s}.{1:s}({2:s}) object at {3:0=#10x}>".format(type(self).__module__,type(self).__name__,str(self.name),id(self))
|
||||
|
||||
class Core():
|
||||
|
||||
constants = {}
|
||||
unary_ops = {}
|
||||
ops = {}
|
||||
functions = {}
|
||||
smatch = re.compile("\s*,")
|
||||
vmatch = re.compile("\s*"
|
||||
"(?:"
|
||||
"(?P<oct>"
|
||||
"(?P<octsign>[+-]?)"
|
||||
"\s*0o"
|
||||
"(?P<octvalue>[0-7]+)"
|
||||
")|(?P<hex>"
|
||||
"(?P<hexsign>[+-]?)"
|
||||
"\s*0x"
|
||||
"(?P<hexvalue>[0-9a-fA-F]+)"
|
||||
")|(?P<bin>"
|
||||
"(?P<binsign>[+-]?)"
|
||||
"\s*0b"
|
||||
"(?P<binvalue>[01]+)"
|
||||
")|(?P<dec>"
|
||||
"(?P<rsign>[+-]?)"
|
||||
"\s*"
|
||||
"(?P<rvalue>(?:\d+\.\d+|\d+\.|\.\d+|\d+))"
|
||||
"(?:"
|
||||
"[Ee]"
|
||||
"(?P<rexpoent>[+-]?\d+)"
|
||||
")?"
|
||||
"(?:"
|
||||
"\s*"
|
||||
"(?P<sep>(?(rvalue)\+|))?"
|
||||
"\s*"
|
||||
"(?P<isign>(?(rvalue)(?(sep)[+-]?|[+-])|[+-]?)?)"
|
||||
"\s*"
|
||||
"(?P<ivalue>(?:\d+\.\d+|\d+\.|\.\d+|\d+))"
|
||||
"(?:"
|
||||
"[Ee]"
|
||||
"(?P<iexpoent>[+-]?\d+)"
|
||||
")?"
|
||||
"[ij]"
|
||||
")?"
|
||||
")"
|
||||
")")
|
||||
nmatch = re.compile("\s*([a-zA-Z_][a-zA-Z0-9_]*)")
|
||||
gsmatch = re.compile('\s*(\()')
|
||||
gematch = re.compile('\s*(\))')
|
||||
|
||||
def recalculateFMatch(self):
|
||||
|
||||
fks = sorted(self.functions.keys(), key=len, reverse=True)
|
||||
oks = sorted(self.ops.keys(), key=len, reverse=True)
|
||||
uks = sorted(self.unary_ops.keys(), key=len, reverse=True)
|
||||
self.fmatch = re.compile('\s*(' + '|'.join(map(re.escape,fks)) + ')')
|
||||
self.omatch = re.compile('\s*(' + '|'.join(map(re.escape,oks)) + ')')
|
||||
self.umatch = re.compile('\s*(' + '|'.join(map(re.escape,uks)) + ')')
|
||||
|
||||
def addFn(self,id,str,latex,args,func):
|
||||
self.functions[id] = {
|
||||
'str': str,
|
||||
'latex': latex,
|
||||
'args': args,
|
||||
'func': func}
|
||||
|
||||
def addOp(self,id,str,latex,single,prec,func):
|
||||
if single:
|
||||
raise RuntimeError("Single Ops Not Yet Supported")
|
||||
self.ops[id] = {
|
||||
'str': str,
|
||||
'latex': latex,
|
||||
'args': 2,
|
||||
'prec': prec,
|
||||
'func': func}
|
||||
|
||||
def addUnaryOp(self,id,str,latex,func):
|
||||
self.unary_ops[id] = {
|
||||
'str': str,
|
||||
'latex': latex,
|
||||
'args': 1,
|
||||
'prec': 0,
|
||||
'func': func}
|
||||
|
||||
def addConst(self,name,value):
|
||||
self.constants[name] = value
|
||||
@ -0,0 +1,2 @@
|
||||
from . import equation_base as equation_base
|
||||
from .ExpressionCore import ExpressionValue, ExpressionFunction, ExpressionVariable, Core
|
||||
@ -0,0 +1,106 @@
|
||||
try:
|
||||
import numpy as np
|
||||
has_numpy = True
|
||||
except ImportError:
|
||||
import math
|
||||
has_numpy = False
|
||||
try:
|
||||
import scipy.constants
|
||||
has_scipy = True
|
||||
except ImportError:
|
||||
has_scipy = False
|
||||
import operator as op
|
||||
from .similar import sim, nsim, gsim, lsim
|
||||
|
||||
def equation_extend(core):
|
||||
def product(*args):
|
||||
if len(args) == 1 and has_numpy:
|
||||
return np.prod(args[0])
|
||||
else:
|
||||
return reduce(op.mul,args,1)
|
||||
|
||||
def sumargs(*args):
|
||||
if len(args) == 1:
|
||||
return sum(args[0])
|
||||
else:
|
||||
return sum(args)
|
||||
|
||||
core.addOp('+',"({0:s} + {1:s})","\\left({0:s} + {1:s}\\right)",False,3,op.add)
|
||||
core.addOp('-',"({0:s} - {1:s})","\\left({0:s} - {1:s}\\right)",False,3,op.sub)
|
||||
core.addOp('*',"({0:s} * {1:s})","\\left({0:s} \\times {1:s}\\right)",False,2,op.mul)
|
||||
core.addOp('/',"({0:s} / {1:s})","\\frac{{{0:s}}}{{{1:s}}}",False,2,op.truediv)
|
||||
core.addOp('%',"({0:s} % {1:s})","\\left({0:s} \\bmod {1:s}\\right)",False,2,op.mod)
|
||||
core.addOp('^',"({0:s} ^ {1:s})","{0:s}^{{{1:s}}}",False,1,op.pow)
|
||||
core.addOp('**',"({0:s} ^ {1:s})","{0:s}^{{{1:s}}}",False,1,op.pow)
|
||||
core.addOp('&',"({0:s} & {1:s})","\\left({0:s} \\land {1:s}\\right)",False,4,op.and_)
|
||||
core.addOp('|',"({0:s} | {1:s})","\\left({0:s} \\lor {1:s}\\right)",False,4,op.or_)
|
||||
core.addOp('</>',"({0:s} </> {1:s})","\\left({0:s} \\oplus {1:s}\\right)",False,4,op.xor)
|
||||
core.addOp('&|',"({0:s} </> {1:s})","\\left({0:s} \\oplus {1:s}\\right)",False,4,op.xor)
|
||||
core.addOp('|&',"({0:s} </> {1:s})","\\left({0:s} \\oplus {1:s}\\right)",False,4,op.xor)
|
||||
core.addOp('==',"({0:s} == {1:s})","\\left({0:s} = {1:s}\\right)",False,5,op.eq)
|
||||
core.addOp('=',"({0:s} == {1:s})","\\left({0:s} = {1:s}\\right)",False,5,op.eq)
|
||||
core.addOp('~',"({0:s} ~ {1:s})","\\left({0:s} \\approx {1:s}\\right)",False,5,sim)
|
||||
core.addOp('!~',"({0:s} !~ {1:s})","\\left({0:s} \\not\\approx {1:s}\\right)",False,5,nsim)
|
||||
core.addOp('!=',"({0:s} != {1:s})","\\left({0:s} \\neg {1:s}\\right)",False,5,op.ne)
|
||||
core.addOp('<>',"({0:s} != {1:s})","\\left({0:s} \\neg {1:s}\\right)",False,5,op.ne)
|
||||
core.addOp('><',"({0:s} != {1:s})","\\left({0:s} \\neg {1:s}\\right)",False,5,op.ne)
|
||||
core.addOp('<',"({0:s} < {1:s})","\\left({0:s} < {1:s}\\right)",False,5,op.lt)
|
||||
core.addOp('>',"({0:s} > {1:s})","\\left({0:s} > {1:s}\\right)",False,5,op.gt)
|
||||
core.addOp('<=',"({0:s} <= {1:s})","\\left({0:s} \\leq {1:s}\\right)",False,5,op.le)
|
||||
core.addOp('>=',"({0:s} >= {1:s})","\\left({0:s} \\geq {1:s}\\right)",False,5,op.ge)
|
||||
core.addOp('=<',"({0:s} <= {1:s})","\\left({0:s} \\leq {1:s}\\right)",False,5,op.le)
|
||||
core.addOp('=>',"({0:s} >= {1:s})","\\left({0:s} \\geq {1:s}\\right)",False,5,op.ge)
|
||||
core.addOp('<~',"({0:s} <~ {1:s})","\\left({0:s} \lessapprox {1:s}\\right)",False,5,lsim)
|
||||
core.addOp('>~',"({0:s} >~ {1:s})","\\left({0:s} \\gtrapprox {1:s}\\right)",False,5,gsim)
|
||||
core.addOp('~<',"({0:s} <~ {1:s})","\\left({0:s} \lessapprox {1:s}\\right)",False,5,lsim)
|
||||
core.addOp('~>',"({0:s} >~ {1:s})","\\left({0:s} \\gtrapprox {1:s}\\right)",False,5,gsim)
|
||||
core.addUnaryOp('!',"(!{0:s})","\\neg{0:s}",op.not_)
|
||||
core.addUnaryOp('-',"-{0:s}","-{0:s}",op.neg)
|
||||
core.addFn('abs',"abs({0:s})","\\left|{0:s}\\right|",1,op.abs)
|
||||
core.addFn('sum',"sum({0:s})","\\sum\\left({0:s}\\right)",'+',sumargs)
|
||||
core.addFn('prod',"prod({0:s})","\\prod\\left({0:s}\\right)",'+',product)
|
||||
if has_numpy:
|
||||
core.addFn('floor',"floor({0:s})","\\lfloor {0:s} \\rfloor",1,np.floor)
|
||||
core.addFn('ceil',"ceil({0:s})","\\lceil {0:s} \\rceil",1,np.ceil)
|
||||
core.addFn('round',"round({0:s})","\\lfloor {0:s} \\rceil",1,np.round)
|
||||
core.addFn('sin',"sin({0:s})","\\sin\\left({0:s}\\right)",1,np.sin)
|
||||
core.addFn('cos',"cos({0:s})","\\cos\\left({0:s}\\right)",1,np.cos)
|
||||
core.addFn('tan',"tan({0:s})","\\tan\\left({0:s}\\right)",1,np.tan)
|
||||
core.addFn('re',"re({0:s})","\\Re\\left({0:s}\\right)",1,np.real)
|
||||
core.addFn('im',"re({0:s})","\\Im\\left({0:s}\\right)",1,np.imag)
|
||||
core.addFn('sqrt',"sqrt({0:s})","\\sqrt{{{0:s}}}",1,np.sqrt)
|
||||
core.addConst("pi",np.pi)
|
||||
core.addConst("e",np.e)
|
||||
core.addConst("Inf",np.Inf)
|
||||
core.addConst("NaN",np.NaN)
|
||||
else:
|
||||
core.addFn('floor',"floor({0:s})","\\lfloor {0:s} \\rfloor",1,math.floor)
|
||||
core.addFn('ceil',"ceil({0:s})","\\lceil {0:s} \\rceil",1,math.ceil)
|
||||
core.addFn('round',"round({0:s})","\\lfloor {0:s} \\rceil",1,round)
|
||||
core.addFn('sin',"sin({0:s})","\\sin\\left({0:s}\\right)",1,math.sin)
|
||||
core.addFn('cos',"cos({0:s})","\\cos\\left({0:s}\\right)",1,math.cos)
|
||||
core.addFn('tan',"tan({0:s})","\\tan\\left({0:s}\\right)",1,math.tan)
|
||||
core.addFn('re',"re({0:s})","\\Re\\left({0:s}\\right)",1,complex.real)
|
||||
core.addFn('im',"re({0:s})","\\Im\\left({0:s}\\right)",1,complex.imag)
|
||||
core.addFn('sqrt',"sqrt({0:s})","\\sqrt{{{0:s}}}",1,math.sqrt)
|
||||
core.addConst("pi",math.pi)
|
||||
core.addConst("e",math.e)
|
||||
core.addConst("Inf",float("Inf"))
|
||||
core.addConst("NaN",float("NaN"))
|
||||
if has_scipy:
|
||||
core.addConst("h",scipy.constants.h)
|
||||
core.addConst("hbar",scipy.constants.hbar)
|
||||
core.addConst("m_e",scipy.constants.m_e)
|
||||
core.addConst("m_p",scipy.constants.m_p)
|
||||
core.addConst("m_n",scipy.constants.m_n)
|
||||
core.addConst("c",scipy.constants.c)
|
||||
core.addConst("N_A",scipy.constants.N_A)
|
||||
core.addConst("mu_0",scipy.constants.mu_0)
|
||||
core.addConst("eps_0",scipy.constants.epsilon_0)
|
||||
core.addConst("k",scipy.constants.k)
|
||||
core.addConst("G",scipy.constants.G)
|
||||
core.addConst("g",scipy.constants.g)
|
||||
core.addConst("q",scipy.constants.e)
|
||||
core.addConst("R",scipy.constants.R)
|
||||
core.addConst("sigma",scipy.constants.e)
|
||||
core.addConst("Rb",scipy.constants.Rydberg)
|
||||
@ -0,0 +1,49 @@
|
||||
_tol = 1e-5
|
||||
|
||||
def sim(a,b):
|
||||
if (a==b):
|
||||
return True
|
||||
elif a == 0 or b == 0:
|
||||
return False
|
||||
if (a<b):
|
||||
return (1-a/b)<=_tol
|
||||
else:
|
||||
return (1-b/a)<=_tol
|
||||
|
||||
def nsim(a,b):
|
||||
if (a==b):
|
||||
return False
|
||||
elif a == 0 or b == 0:
|
||||
return True
|
||||
if (a<b):
|
||||
return (1-a/b)>_tol
|
||||
else:
|
||||
return (1-b/a)>_tol
|
||||
|
||||
def gsim(a,b):
|
||||
if a >= b:
|
||||
return True
|
||||
return (1-a/b)<=_tol
|
||||
|
||||
def lsim(a,b):
|
||||
if a <= b:
|
||||
return True
|
||||
return (1-b/a)<=_tol
|
||||
|
||||
def set_tol(value=1e-5):
|
||||
r"""Set Error Tolerance
|
||||
|
||||
Set the tolerance for detriming if two numbers are simliar, i.e
|
||||
:math:`\left|\frac{a}{b}\right| = 1 \pm tolerance`
|
||||
|
||||
Parameters
|
||||
----------
|
||||
value: float
|
||||
The Value to set the tolerance to show be very small as it respresents the
|
||||
percentage of acceptable error in detriming if two values are the same.
|
||||
"""
|
||||
global _tol
|
||||
if isinstance(value,float):
|
||||
_tol = value
|
||||
else:
|
||||
raise TypeError(type(value))
|
||||
@ -2,14 +2,13 @@
|
||||
# Written by Arthur Lu
|
||||
# Notes:
|
||||
# this should be imported as a python module using 'from tra_analysis.Equation import parser'
|
||||
# adapted from https://github.com/pyparsing/pyparsing/blob/master/examples/fourFn.py
|
||||
# setup:
|
||||
|
||||
__version__ = "0.0.4-alpha"
|
||||
|
||||
__changelog__ = """changelog:
|
||||
0.0.4-alpha:
|
||||
- moved individual parsers to their own filespar
|
||||
- moved individual parsers to their own files
|
||||
0.0.3-alpha:
|
||||
- readded old regex based parser as RegexInplaceParser
|
||||
0.0.2-alpha:
|
||||
@ -25,8 +24,11 @@ __author__ = (
|
||||
|
||||
__all__ = {
|
||||
"BNF",
|
||||
"RegexInplaceParser"
|
||||
"RegexInplaceParser",
|
||||
"HybridExpressionParser"
|
||||
}
|
||||
|
||||
from .BNF import BNF as BNF
|
||||
from .RegexInplaceParser import RegexInplaceParser as RegexInplaceParser
|
||||
from .RegexInplaceParser import RegexInplaceParser as RegexInplaceParser
|
||||
from .Hybrid import HybridExpressionParser
|
||||
from .Hybrid_Utils import equation_base, Core
|
||||
@ -10,7 +10,7 @@ __version__ = "1.0.0"
|
||||
|
||||
__changelog__ = """changelog:
|
||||
1.0.0:
|
||||
- added cmp function
|
||||
- added cmp function
|
||||
"""
|
||||
|
||||
__author__ = (
|
||||
|
||||
Loading…
Reference in New Issue
Block a user