Mapytex/mapytex/calculus/core/MO/atoms.py

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#! /usr/bin/env python
# -*- coding: utf-8 -*-
# vim:fenc=utf-8
#
# Copyright © 2017 lafrite <lafrite@Poivre>
#
# Distributed under terms of the MIT license.
from decimal import Decimal
from functools import total_ordering
from .exceptions import MOError
from .mo import Atom
from ..coroutine import coroutine, STOOOP
__all__ = ["moify", "MOnumber", "MOstr"]
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def moify(token):
try:
return MOnumber(token)
except MOError:
pass
try:
return MOstr(token)
except MOError:
return token
@coroutine
def moify_cor(target):
""" Coroutine which try to convert a parsed token into an MO
:example:
>>> from ..str2 import list_sink
>>> list2molist = moify_cor(list_sink)
>>> for i in [-2, "+", "x", "*", Decimal("3.3")]:
... list2molist.send(i)
>>> list2molist.throw(STOOOP)
[<MOnumber - 2>, '+', <MOstr x>, '*', <MOnumber 3.3>]
"""
try:
target_ = target()
except TypeError:
target_ = target
try:
while True:
tok = yield
target_.send(moify(tok))
except STOOOP as err:
yield target_.throw(err)
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@total_ordering
class MOnumber(Atom):
""" Base number math object (int or Decimal)
:example:
>>> x = MOnumber(2)
>>> x
<MOnumber 2>
>>> print(x)
2
>>> x.__txt__
'2'
>>> x.__tex__
'2'
"""
def __init__(self, value):
""" Initiate a number MO
:example:
>>> MOnumber(23)
<MOnumber 23>
>>> MOnumber(-23)
<MOnumber - 23>
As expected there will be trouble with float
>>> MOnumber(23.3)
<MOnumber 23.300000000000000710542735760100185871124267578125>
It will be better to use Decimal
>>> MOnumber(Decimal("23.3"))
<MOnumber 23.3>
>>> MOnumber(Decimal("-23.3"))
<MOnumber - 23.3>
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Or directly passe a decimal string
>>> MOnumber("23.3")
<MOnumber 23.3>
>>> MOnumber("-23.3")
<MOnumber - 23.3>
MOnumber initialisation is idempotent
>>> a = MOnumber(23)
>>> MOnumber(a)
<MOnumber 23>
>>> MOnumber("a")
Traceback (most recent call last):
...
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mapytex.calculus.core.MO.exceptions.MOError: ('The value of an MOnumber need to be a int, a float, a Decimal or a decimal string', "(got <class 'str'>)")
Atoms specific property and methods
>>> print(a)
23
>>> a.value
23
>>> a.__txt__
'23'
>>> a.__tex__
'23'
>>> a._signature
'scalar'
"""
if isinstance(value, Atom) and isinstance(value.value, (int, Decimal, float)):
Atom.__init__(self, value.value)
elif isinstance(value, (float, Decimal)):
if int(value) == value:
Atom.__init__(self, int(value))
else:
Atom.__init__(self, Decimal(value))
elif isinstance(value, int):
Atom.__init__(self, value)
else:
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try:
float(value)
except (ValueError, TypeError):
raise MOError(
"The value of an MOnumber need to be a int, a float, a Decimal or a decimal string",
f"(got {type(value)})",
)
else:
Atom.__init__(self, Decimal(value))
self._signature = "scalar"
@property
def __txt__(self):
""" Txt rendering
:example:
>>> MOnumber(3).__txt__
'3'
>>> MOnumber(-3).__txt__
'- 3'
"""
if self.value >= 0:
return str(self.value)
return f"- {abs(self.value)}"
@property
def __tex__(self):
""" Tex rendering
:example:
>>> MOnumber(3).__tex__
'3'
>>> MOnumber(-3).__tex__
'- 3'
"""
if self.value >= 0:
return str(self.value)
return f"- {abs(self.value)}"
def __lt__(self, other):
""" < a MOnumber """
try:
return self.value < other.value
except AttributeError:
return self.value < other
def differentiate(self):
""" differentiate a number and get 0
:example:
>>> a = MOnumber(3)
>>> a.differentiate()
<MOnumber 0>
"""
return MOnumber(0)
class MOstr(Atom):
""" Unknown math object like x or n
:example:
>>> x = MOstr('x')
>>> x
<MOstr x>
>>> print(x)
x
>>> x.__txt__
'x'
>>> x.__tex__
'x'
Polynoms properties
>>> x.variable
'x'
>>> x.coefficients
{1: <MOnumber 1>}
>>> x.degree
1
"""
def __init__(self, value):
""" Initiate a string MO
>>> a = MOstr("x")
>>> a
<MOstr x>
>>> b = MOstr(a)
>>> b
<MOstr x>
>>> a = MOstr("+")
Traceback (most recent call last):
...
mapytex.calculus.core.MO.exceptions.MOError: An MOstr should be initiate with a alpha string, got +
>>> MOstr("ui")
Traceback (most recent call last):
...
mapytex.calculus.core.MO.exceptions.MOError: An MOstr should be initiate with a single caracter string, got ui
>>> MOstr(2)
Traceback (most recent call last):
...
mapytex.calculus.core.MO.exceptions.MOError: An MOstr should be initiate with a string - the unknown, got 2
"""
if isinstance(value, Atom):
val = value.value
else:
val = value
if not isinstance(val, str):
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raise MOError(
f"An MOstr should be initiate with a string - the unknown, got {val}"
)
if len(val) != 1:
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raise MOError(
f"An MOstr should be initiate with a single caracter string, got {val}"
)
if not val.isalpha():
raise MOError(f"An MOstr should be initiate with a alpha string, got {val}")
Atom.__init__(self, val)
self.is_scalar = False
self._signature = "monome1"
self._variable = val
@property
def variable(self):
return self._variable
@property
def coefficients(self):
""" Dictionnary of coefficients
:example:
>>> p = MOstr("x")
>>> p.coefficients
{1: <MOnumber 1>}
"""
return {1: MOnumber(1)}
@property
def degree(self):
return 1
def differentiate(self):
""" differentiate a variable and get 1
:example:
>>> a = MOstr("x")
>>> a.differentiate()
<MOnumber 1>
"""
return MOnumber(1)
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