File size: 8,617 Bytes
389d072 |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 |
import math
from visma.functions.structure import Function, Expression
from visma.functions.variable import Variable
from visma.functions.exponential import Exponential
from visma.functions.operator import Plus, Minus
#############
# Constant #
#############
class Constant(Function):
"""Class for constant type tokens
Example:
1, -2, 3.14, 4i + 5 etc
Extends:
Function
"""
def __init__(self, value=None, power=1, coefficient=1):
super().__init__()
self.coefficient = coefficient
self.power = power
if value is not None:
self.value = value
if self.value is not None:
self.value = self.calculate()
self.coefficient = 1
self.power = 1
def inverse(self, RHS):
pass
def differentiate(self):
super().differentiate()
self.value = 0
def integrate(self, intwrt):
self.coefficient = self.value ** self.power
self.__class__ = Variable
self.power = [1]
self.value = [intwrt]
def __radd__(self, other):
return self + other
def __add__(self, other):
if isinstance(other, Constant):
if self.before == '-':
result = Constant(self.calculate() - other.calculate(), self.power)
else:
result = Constant(self.calculate() + other.calculate(), self.power)
self.value = result.value
if result.value == 0 and result.power == 0:
result.value = 1
result.power = 1
result.scope = self.scope
result.value = result.calculate()
return result
elif self.isZero():
return other
elif other.isZero():
return self
elif isinstance(other, Expression):
if other.power == 1 and other.coefficient == 1:
constFound = False
for i, var in enumerate(other.tokens):
if isinstance(var, Constant):
if other.tokens[i-1].value == '+' or i == 0:
other.tokens[i] = self + var
elif other.tokens[i-1].value == '-':
other.tokens[i-1] = self - var
constFound = True
break
if not constFound:
other.tokens.extend([Plus(), self])
return other
else:
pass
self.value = self.calculate()
self.power = 1
self.coefficient = 1
exprAdd = Expression([self, Plus(), other]) # Make an Expression and assign the Tokens attribute with the Constant and the Other Variable, Trig. function,...etc.
return exprAdd
def __rsub__(self, other):
return Constant(0) - self + other
def __sub__(self, other):
if isinstance(other, Constant):
self = self + Constant(-1, 1, 1) * other
return self
elif isinstance(other, Variable):
if self.value == 0:
other.coefficient *= -1
return other
expression = Expression()
expression.tokens = [self]
expression.tokens.extend([Minus(), other])
elif isinstance(other, Expression):
expression = Expression()
expression.tokens = [self]
if other.power == 1:
coeff = other.coefficient
for i, token in enumerate(other.tokens):
print(expression, " ", type(token), other.tokens[i-1])
if isinstance(token, Constant):
if other.tokens[i-1].value == '+' or i == 0:
expression.tokens[0] = Constant(self.calculate() - token.calculate()*coeff)
elif other.tokens[i-1].value == '-':
expression.tokens[0] = Constant(self.calculate() + token.calculate()*coeff)
elif isinstance(token, Variable):
if other.tokens[i-1].value == '+' or i == 0:
expression.tokens.extend([Minus(), Variable(token)])
elif other.tokens[i-1].value == '-':
expression.tokens.extend([Plus(), Variable(token)])
else:
expression.tokens.extend([Minus(), other])
self = expression
return expression
def __rmul__(self, other):
return self * other
def __mul__(self, other):
if other.isZero():
return other
elif self.isZero():
return self
elif isinstance(other, Constant):
const = Constant(self.calculate() * other.calculate())
return const
elif isinstance(other, Variable):
variable = Variable()
variable.coefficient = self.calculate() * other.coefficient
variable.value.extend(other.value)
variable.power.extend(other.power)
self = variable
return variable
elif isinstance(other, Expression):
if other.power == 1:
other.tokens[0] = self * other.tokens[0]
for i, var in enumerate(other.tokens):
if other.tokens[i-1].value == '+' or other.tokens[i-1].value == '-':
other.tokens[i] = self * var
else:
if isinstance(other.power, Constant) or isinstance(other.power, int) or isinstance(other.power, float):
self = self ** (-1 * other.power)
for i, var in enumerate(other.tokens):
if other.tokens[i - 1].value == '+' or other.tokens[i - 1].value == '-':
other.tokens[i] = self * var
else:
other.coefficient = self * other.coefficient
else:
other.coefficient = self.calculate() * other.coefficient
return other
def __rtruediv__(self, other):
return Constant(1) / self * other
def __truediv__(self, other):
if other.value in ['+', '-', '*', '/']:
return other
elif self.isZero():
return self
elif isinstance(other, Constant):
result = Constant()
power = Constant(-1, 1, 1)
result = self * (other ** power)
return result
elif isinstance(other, Variable):
power = Constant(-1, 1, 1)
self = self * (other ** power)
return self
elif isinstance(other, Expression):
other.power = -1 * other.power
newCoeff = self * Constant(other.coefficient)
other.coefficient = newCoeff
return other
else:
if other.isZero(): # ToDo: Raise a Division by Zero Error
return other
other.coefficient = self.calculate() / other.coefficient
other.power = [-1 * eachPower for eachPower in other.power]
return other
def __pow__(self, val):
if isinstance(val, int) or isinstance(val, float):
if self.power == 0 and self.value == 0:
self.power = 1
self.value = 1
else:
self.value = (self.value ** self.power)
self.power = 1
return self
elif isinstance(val, Constant):
self.value = self.calculate() ** val.calculate()
self.coefficient = 1
self.power = 1
return self
else:
constExponent = Exponential()
constExponent.base = self.value
constExponent.coefficient = self.coefficient
constExponent.power = val
return constExponent
def calculate(self):
return self.coefficient * (self ** self.power).value
def functionOf(self):
return []
def binary(self):
'''Returns a binary string of the given constant
'''
return bin(self.calculate())[2:]
class Zero(Constant):
def __init__(self):
super().__init__()
self.value = 0
class One(Constant):
def __init__(self):
super().__init__()
self.value = 1
class Pi(Constant):
def __init__(self):
super().__init__()
self.value = math.pi
class Euler(Constant):
def __init__(self):
super().__init__()
self.value = math.e
class Iota(Constant):
def __init__(self):
super().__init__()
self.value = 1j
|