Equation v 0.0.1-alpha

.gitignore

@@ -41,3 +41,4 @@ analysis-master/dist
 data-analysis/config/
 analysis-master/tra_analysis/equation/__pycache__/*
 analysis-master/tra_analysis/equation/parser/__pycache__/*
+analysis-master/tra_analysis/equation/parser/Hybrid_Utils/__pycache__/*

analysis-master/tra_analysis/equation/Expression.py

@@ -2,37 +2,36 @@
 # Written by Arthur Lu
 # Notes:
 #    this should be imported as a python module using 'from tra_analysis.Equation import Expression'
-# 	 adapted from https://github.com/pyparsing/pyparsing/blob/master/examples/fourFn.py
+# 	 TODO:
+#	 	 - add option to pick parser backend
+#		 - fix unit tests
 # setup:
 
 __version__ = "0.0.1-alpha"
 
 __changelog__ = """changelog:
 	0.0.1-alpha:
+		- used the HybridExpressionParser as backend for Expression
 """
 
 __author__ = (
 	"Arthur Lu <learthurgo@gmail.com>",
 )
 
-import re
+__all__ = {
-from .parser import BNF
+	"Expression"
+}
 
-class Expression():
+import re
+from .parser import BNF, RegexInplaceParser, HybridExpressionParser, Core, equation_base
+
+class Expression(HybridExpressionParser):
 
 	expression = None
-	protected = list(BNF().fn.keys())
+	core = None
 
-	def __init__(self, s):
+	def __init__(self,expression,argorder=[],*args,**kwargs):
-		if(self.validate(s)):
+		self.core = Core()
-			self.expression = s
+		equation_base.equation_extend(self.core)
-		else:
+		self.core.recalculateFMatch()
-			pass
+		super().__init__(self.core, expression, argorder=[],*args,**kwargs)
-
-	def validate(self, s):
-
-		return true
-
-	def substitute(self, var, value):
-
-		pass

analysis-master/tra_analysis/equation/__init__.py

@@ -1 +1,22 @@
+# Titan Robotics Team 2022: Expression submodule
+# Written by Arthur Lu
+# Notes:
+#    this should be imported as a python module using 'from tra_analysis import Equation'
+# setup:
+
+__version__ = "0.0.1-alpha"
+
+__changelog__ = """changelog:
+	0.0.1-alpha:
+		- made first prototype of Expression
+"""
+
+__author__ = (
+	"Arthur Lu <learthurgo@gmail.com>",
+)
+
+__all__ = {
+    "Expression"
+}
+
 from .Expression import Expression

analysis-master/tra_analysis/equation/parser/Hybrid.py

@@ -0,0 +1,521 @@
+from .Hybrid_Utils import Core, ExpressionFunction, ExpressionVariable, ExpressionValue
+import sys
+
+if sys.version_info >= (3,):
+	xrange = range
+	basestring = str
+
+class HybridExpressionParser(object):
+
+	def __init__(self,core,expression,argorder=[],*args,**kwargs):
+		super(HybridExpressionParser,self).__init__(*args,**kwargs)
+		if isinstance(expression,type(self)): # clone the object
+			self.core = core
+			self.__args = list(expression.__args)
+			self.__vars = dict(expression.__vars) # intenral array of preset variables
+			self.__argsused = set(expression.__argsused)
+			self.__expr = list(expression.__expr)
+			self.variables = {} # call variables
+		else:
+			self.__expression = expression
+			self.__args = argorder;
+			self.__vars = {} # intenral array of preset variables
+			self.__argsused = set()
+			self.__expr = [] # compiled equation tokens
+			self.variables = {} # call variables
+			self.__compile()
+			del self.__expression
+
+	def __getitem__(self, name):
+		if name in self.__argsused:
+			if name in self.__vars:
+				return self.__vars[name]
+			else:
+				return None
+		else:
+			raise KeyError(name)
+
+	def __setitem__(self,name,value):
+
+		if name in self.__argsused:
+			self.__vars[name] = value
+		else:
+			raise KeyError(name)
+
+	def __delitem__(self,name):
+
+		if name in self.__argsused:
+			if name in self.__vars:
+				del self.__vars[name]
+		else:
+			raise KeyError(name)
+
+	def __contains__(self, name):
+
+		return name in self.__argsused
+
+	def __call__(self,*args,**kwargs):
+
+		if len(self.__expr) == 0:
+			return None
+		self.variables = {}
+		self.variables.update(self.core.constants)
+		self.variables.update(self.__vars)
+		if len(args) > len(self.__args):
+			raise TypeError("<{0:s}.{1:s}({2:s}) object at {3:0=#10x}>() takes at most {4:d} arguments ({5:d} given)".format(
+					type(self).__module__,type(self).__name__,repr(self),id(self),len(self.__args),len(args)))
+		for i in xrange(len(args)):
+			if i < len(self.__args):
+				if self.__args[i] in kwargs:
+					raise TypeError("<{0:s}.{1:s}({2:s}) object at {3:0=#10x}>() got multiple values for keyword argument '{4:s}'".format(
+						type(self).__module__,type(self).__name__,repr(self),id(self),self.__args[i]))
+				self.variables[self.__args[i]] = args[i]
+		self.variables.update(kwargs)
+		for arg in self.__argsused:
+			if arg not in self.variables:
+				min_args = len(self.__argsused - (set(self.__vars.keys()) | set(self.core.constants.keys())))
+				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(
+					type(self).__module__,type(self).__name__,repr(self),id(self),min_args,len(args)+len(kwargs),arg))
+		expr = self.__expr[::-1]
+		args = []
+		while len(expr) > 0:
+			t = expr.pop()
+			r = t(args,self)
+			args.append(r)
+		if len(args) > 1:
+			return args
+		else:
+			return args[0]
+
+	def __next(self,__expect_op):
+		if __expect_op:
+			m = self.core.gematch.match(self.__expression)
+			if m != None:
+				self.__expression = self.__expression[m.end():]
+				g = m.groups()
+				return g[0],'CLOSE'
+			m = self.core.smatch.match(self.__expression)
+			if m != None:
+				self.__expression = self.__expression[m.end():]
+				return ",",'SEP'
+			m = self.core.omatch.match(self.__expression)
+			if m != None:
+				self.__expression = self.__expression[m.end():]
+				g = m.groups()
+				return g[0],'OP'
+		else:
+			m = self.core.gsmatch.match(self.__expression)
+			if m != None:
+				self.__expression = self.__expression[m.end():]
+				g = m.groups()
+				return g[0],'OPEN'
+			m = self.core.vmatch.match(self.__expression)
+			if m != None:
+				self.__expression = self.__expression[m.end():]
+				g = m.groupdict(0)
+				if g['dec']:
+					if g["ivalue"]:
+						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'
+					elif g["rexpoent"] or g["rvalue"].find('.')>=0:
+						return int(g["rsign"]+"1")*float(g["rvalue"])*10**int(g["rexpoent"]),'VALUE'
+					else:
+						return int(g["rsign"]+"1")*int(g["rvalue"]),'VALUE'
+				elif g["hex"]:
+					return int(g["hexsign"]+"1")*int(g["hexvalue"],16),'VALUE'
+				elif g["oct"]:
+					return int(g["octsign"]+"1")*int(g["octvalue"],8),'VALUE'
+				elif g["bin"]:
+					return int(g["binsign"]+"1")*int(g["binvalue"],2),'VALUE'
+				else:
+					raise NotImplemented("'{0:s}' Values Not Implemented Yet".format(m.string))
+			m = self.core.nmatch.match(self.__expression)
+			if m != None:
+				self.__expression = self.__expression[m.end():]
+				g = m.groups()
+				return g[0],'NAME'
+			m = self.core.fmatch.match(self.__expression)
+			if m != None:
+				self.__expression = self.__expression[m.end():]
+				g = m.groups()
+				return g[0],'FUNC'
+			m = self.core.umatch.match(self.__expression)
+			if m != None:
+				self.__expression = self.__expression[m.end():]
+				g = m.groups()
+				return g[0],'UNARY'
+			return None
+
+	def show(self):
+		"""Show RPN tokens
+
+		This will print out the internal token list (RPN) of the expression
+		one token perline.
+		"""
+		for expr in self.__expr:
+			print(expr)
+
+	def __str__(self):
+		"""str(fn)
+
+		Generates a Printable version of the Expression
+
+		Returns
+		-------
+		str
+			Latex String respresation of the Expression, suitable for rendering the equation
+		"""
+		expr = self.__expr[::-1]
+		if len(expr) == 0:
+			return ""
+		args = [];
+		while len(expr) > 0:
+			t = expr.pop()
+			r = t.toStr(args,self)
+			args.append(r)
+		if len(args) > 1:
+			return args
+		else:
+			return args[0]
+
+	def __repr__(self):
+		"""repr(fn)
+
+		Generates a String that correctrly respresents the equation
+
+		Returns
+		-------
+		str
+			Convert the Expression to a String that passed to the constructor, will constuct
+			an identical equation object (in terms of sequence of tokens, and token type/value)
+		"""
+		expr = self.__expr[::-1]
+		if len(expr) == 0:
+			return ""
+		args = [];
+		while len(expr) > 0:
+			t = expr.pop()
+			r = t.toRepr(args,self)
+			args.append(r)
+		if len(args) > 1:
+			return args
+		else:
+			return args[0]
+
+	def __iter__(self):
+		return iter(self.__argsused)
+
+	def __lt__(self, other):
+		if isinstance(other, Expression):
+			return repr(self) < repr(other)
+		else:
+			raise TypeError("{0:s} is not an {1:s} Object, and can't be compared to an Expression Object".format(repr(other), type(other)))
+
+	def __eq__(self, other):
+		if isinstance(other, Expression):
+			return repr(self) == repr(other)
+		else:
+			raise TypeError("{0:s} is not an {1:s} Object, and can't be compared to an Expression Object".format(repr(other), type(other)))
+
+	def __combine(self,other,op):
+		if op not in self.core.ops or not isinstance(other,(int,float,complex,type(self),basestring)):
+			return NotImplemented
+		else:
+			obj = type(self)(self)
+			if isinstance(other,(int,float,complex)):
+				obj.__expr.append(ExpressionValue(other))
+			else:
+				if isinstance(other,basestring):
+					try:
+						other = type(self)(other)
+					except:
+						raise SyntaxError("Can't Convert string, \"{0:s}\" to an Expression Object".format(other))
+				obj.__expr += other.__expr
+				obj.__argsused |= other.__argsused
+				for v in other.__args:
+					if v not in obj.__args:
+						obj.__args.append(v)
+				for k,v in other.__vars.items():
+					if k not in obj.__vars:
+						obj.__vars[k] = v
+					elif v != obj.__vars[k]:
+						raise RuntimeError("Predifined Variable Conflict in '{0:s}' two differing values defined".format(k))
+			fn = self.core.ops[op]
+			obj.__expr.append(ExpressionFunction(fn['func'],fn['args'],fn['str'],fn['latex'],op,False))
+		return obj
+
+	def __rcombine(self,other,op):
+		if op not in self.core.ops or not isinstance(other,(int,float,complex,type(self),basestring)):
+			return NotImplemented
+		else:
+			obj = type(self)(self)
+			if isinstance(other,(int,float,complex)):
+				obj.__expr.insert(0,ExpressionValue(other))
+			else:
+				if isinstance(other,basestring):
+					try:
+						other = type(self)(other)
+					except:
+						raise SyntaxError("Can't Convert string, \"{0:s}\" to an Expression Object".format(other))
+				obj.__expr = other.__expr + self.__expr
+				obj.__argsused = other.__argsused | self.__expr
+				__args = other.__args
+				for v in obj.__args:
+					if v not in __args:
+						__args.append(v)
+				obj.__args = __args
+				for k,v in other.__vars.items():
+					if k not in obj.__vars:
+						obj.__vars[k] = v
+					elif v != obj.__vars[k]:
+						raise RuntimeError("Predifined Variable Conflict in '{0:s}' two differing values defined".format(k))
+			fn = self.core.ops[op]
+			obj.__expr.append(ExpressionFunction(fn['func'],fn['args'],fn['str'],fn['latex'],op,False))
+		return obj
+
+	def __icombine(self,other,op):
+		if op not in self.core.ops or not isinstance(other,(int,float,complex,type(self),basestring)):
+			return NotImplemented
+		else:
+			obj = self
+			if isinstance(other,(int,float,complex)):
+				obj.__expr.append(ExpressionValue(other))
+			else:
+				if isinstance(other,basestring):
+					try:
+						other = type(self)(other)
+					except:
+						raise SyntaxError("Can't Convert string, \"{0:s}\" to an Expression Object".format(other))
+				obj.__expr += other.__expr
+				obj.__argsused |= other.__argsused
+				for v in other.__args:
+					if v not in obj.__args:
+						obj.__args.append(v)
+				for k,v in other.__vars.items():
+					if k not in obj.__vars:
+						obj.__vars[k] = v
+					elif v != obj.__vars[k]:
+						raise RuntimeError("Predifined Variable Conflict in '{0:s}' two differing values defined".format(k))
+			fn = self.core.ops[op]
+			obj.__expr.append(ExpressionFunction(fn['func'],fn['args'],fn['str'],fn['latex'],op,False))
+		return obj
+
+	def __apply(self,op):
+		fn = self.core.unary_ops[op]
+		obj = type(self)(self)
+		obj.__expr.append(ExpressionFunction(fn['func'],1,fn['str'],fn['latex'],op,False))
+		return obj
+
+	def __applycall(self,op):
+		fn = self.core.functions[op]
+		if 1 not in fn['args'] or '*' not in fn['args']:
+			raise RuntimeError("Can't Apply {0:s} function, dosen't accept only 1 argument".format(op))
+		obj = type(self)(self)
+		obj.__expr.append(ExpressionFunction(fn['func'],1,fn['str'],fn['latex'],op,False))
+		return obj
+
+	def __add__(self,other):
+		return self.__combine(other,'+')
+
+	def __sub__(self,other):
+		return self.__combine(other,'-')
+
+	def __mul__(self,other):
+		return self.__combine(other,'*')
+
+	def __div__(self,other):
+		return self.__combine(other,'/')
+
+	def __truediv__(self,other):
+		return self.__combine(other,'/')
+
+	def __pow__(self,other):
+		return self.__combine(other,'^')
+
+	def __mod__(self,other):
+		return self.__combine(other,'%')
+
+	def __and__(self,other):
+		return self.__combine(other,'&')
+
+	def __or__(self,other):
+		return self.__combine(other,'|')
+
+	def __xor__(self,other):
+		return self.__combine(other,'</>')
+
+	def __radd__(self,other):
+		return self.__rcombine(other,'+')
+
+	def __rsub__(self,other):
+		return self.__rcombine(other,'-')
+
+	def __rmul__(self,other):
+		return self.__rcombine(other,'*')
+
+	def __rdiv__(self,other):
+		return self.__rcombine(other,'/')
+
+	def __rtruediv__(self,other):
+		return self.__rcombine(other,'/')
+
+	def __rpow__(self,other):
+		return self.__rcombine(other,'^')
+
+	def __rmod__(self,other):
+		return self.__rcombine(other,'%')
+
+	def __rand__(self,other):
+		return self.__rcombine(other,'&')
+
+	def __ror__(self,other):
+		return self.__rcombine(other,'|')
+
+	def __rxor__(self,other):
+		return self.__rcombine(other,'</>')
+
+	def __iadd__(self,other):
+		return self.__icombine(other,'+')
+
+	def __isub__(self,other):
+		return self.__icombine(other,'-')
+
+	def __imul__(self,other):
+		return self.__icombine(other,'*')
+
+	def __idiv__(self,other):
+		return self.__icombine(other,'/')
+
+	def __itruediv__(self,other):
+		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

analysis-master/tra_analysis/equation/parser/Hybrid_Utils/ExpressionCore.py

@@ -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

analysis-master/tra_analysis/equation/parser/Hybrid_Utils/__init__.py

@@ -0,0 +1,2 @@
+from . import equation_base as equation_base
+from .ExpressionCore import ExpressionValue, ExpressionFunction, ExpressionVariable, Core

analysis-master/tra_analysis/equation/parser/Hybrid_Utils/equation_base.py

@@ -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)

analysis-master/tra_analysis/equation/parser/Hybrid_Utils/similar.py

@@ -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))

analysis-master/tra_analysis/equation/parser/__init__.py

@@ -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 .Hybrid import HybridExpressionParser
+from .Hybrid_Utils import equation_base, Core