Feat(Compute): Add MOpolynomial with scalar

mapytex/calculus/core/typing/add.py

@@ -0,0 +1,153 @@
+#! /usr/bin/env python
+# -*- coding: utf-8 -*-
+# vim:fenc=utf-8
+#
+# Copyright © 2017 lafrite <lafrite@Poivre>
+#
+# Distributed under terms of the MIT license.
+
+"""
+Add MO with typing
+"""
+
+from multipledispatch import Dispatcher
+from ..tree import Tree
+from ..MO.mo import MO, MOnumber, MOstr
+from ..MO.monomial import MOstrPower, MOMonomial
+from ..MO.polynomial import MOpolynomial
+from ..MO.fraction import MOFraction
+
+add_doc = """ Add MOs
+
+:param left: left MO
+:param right: right MO
+:returns: Tree or MO
+
+"""
+
+add = Dispatcher("add", doc=add_doc)
+
+@add.register((MOnumber, MOFraction), MOstr)
+def moscalar_mostr(left, right):
+    """ add a scalar with a letter to create a MOpolynomial
+
+    >>> a = MOnumber(2)
+    >>> b = MOstr('x')
+    >>> add(a, b)
+    <MOpolynomial x + 2>
+    >>> a = MOFraction(1, 5)
+    >>> add(a, b)
+    <MOpolynomial x + 1 / 5>
+    """
+    return MOpolynomial(right, [left, 1])
+
+@add.register(MOstr, (MOnumber, MOFraction))
+def moscalar_mostr(left, right):
+    """ add a scalar with a letter to create a MOpolynomial
+
+    >>> a = MOstr('x')
+    >>> b = MOnumber(2)
+    >>> add(a, b)
+    <MOpolynomial x + 2>
+    >>> b = MOFraction(1, 5)
+    >>> add(a, b)
+    <MOpolynomial x + 1 / 5>
+    """
+    return MOpolynomial(left, [right, 1])
+
+@add.register((MOnumber, MOFraction), MOstrPower)
+def moscalar_mostr(left, right):
+    """ add a scalar with a letter to create a MOpolynomial
+
+    >>> a = MOnumber(2)
+    >>> b = MOstrPower('x', 3)
+    >>> add(a, b)
+    <MOpolynomial x^3 + 2>
+    >>> a = MOFraction(1, 5)
+    >>> add(a, b)
+    <MOpolynomial x^3 + 1 / 5>
+    """
+    return MOpolynomial(right.variable, {0: left, right.power: 1})
+
+@add.register(MOstrPower, (MOnumber, MOFraction))
+def moscalar_mostr(left, right):
+    """ add a scalar with a letter to create a MOpolynomial
+
+    >>> a = MOstrPower('x', 3)
+    >>> b = MOnumber(2)
+    >>> add(a, b)
+    <MOpolynomial x^3 + 2>
+    >>> b = MOFraction(1, 5)
+    >>> add(a, b)
+    <MOpolynomial x^3 + 1 / 5>
+    """
+    return MOpolynomial(left.variable, {0: right, left.power: 1})
+
+@add.register((MOnumber, MOFraction), MOMonomial)
+def moscalar_mostr(left, right):
+    """ add a scalar with a MOMonomial to create a MOpolynomial
+
+    >>> a = MOnumber(2)
+    >>> b = MOMonomial(3, 'x', 4)
+    >>> add(a, b)
+    <MOpolynomial 3x^4 + 2>
+    >>> a = MOFraction(1, 5)
+    >>> add(a, b)
+    <MOpolynomial 3x^4 + 1 / 5>
+    """
+    return MOpolynomial(right.variable, 
+                        {0: left, right.power: right.coefficient}
+                        )
+
+@add.register(MOMonomial, (MOnumber, MOFraction))
+def moscalar_mostr(left, right):
+    """ add a scalar with a letter to create a MOpolynomial
+
+    >>> a = MOMonomial(3, 'x', 4)
+    >>> b = MOnumber(2)
+    >>> add(a, b)
+    <MOpolynomial 3x^4 + 2>
+    >>> b = MOFraction(1, 5)
+    >>> add(a, b)
+    <MOpolynomial 3x^4 + 1 / 5>
+
+    """
+    return MOpolynomial(left.variable,
+                        {0: right, left.power: left.coeffient}
+                        )
+
+@add.register(MOstr, MOstrPower)
+def moscalar_mostr(left, right):
+    """ add a scalar with a letter to create a MOpolynomial
+
+    >>> a = MOstr('x')
+    >>> b = MOstrPower('x', 3)
+    >>> add(a, b)
+    <MOpolynomial x^3 + x>
+    >>> b = MOstrPower('x', 2)
+    >>> add(a, b)
+    <MOpolynomial x^2 + x>
+    """
+    if left != right.variable:
+        raise 
+    return MOpolynomial(left , {1: 1, right.power: 1})
+
+@add.register(MOstrPower, MOstr)
+def moscalar_mostr(left, right):
+    """ add a scalar with a letter to create a MOpolynomial
+
+    >>> a = MOstrPower('x', 3)
+    >>> b = MOstr('x')
+    >>> add(a, b)
+    <MOpolynomial x^3 + x>
+    >>> a = MOstrPower('x', 2)
+    >>> add(a, b)
+    <MOpolynomial x^2 + x>
+    """
+    if right != left.variable:
+        raise 
+    return MOpolynomial(right , {1: 1, left.power: 1})
+# -----------------------------
+# Reglages pour 'vim'
+# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
+# cursor: 16 del