From 5b9a35081a87a2e14128694f1fc4273e6304de20 Mon Sep 17 00:00:00 2001
From: Bertrand Benjamin <benjamin.bertrand@opytex.org>
Date: Mon, 12 Nov 2018 09:41:39 +0100
Subject: [PATCH] Feat(MO): Start polynomial

---
 mapytex/calculus/core/MO/polynomial.py | 75 ++++++++++++++++++++++++++
 1 file changed, 75 insertions(+)
 create mode 100644 mapytex/calculus/core/MO/polynomial.py

diff --git a/mapytex/calculus/core/MO/polynomial.py b/mapytex/calculus/core/MO/polynomial.py
new file mode 100644
index 0000000..210669b
--- /dev/null
+++ b/mapytex/calculus/core/MO/polynomial.py
@@ -0,0 +1,75 @@
+#! /usr/bin/env python
+# -*- coding: utf-8 -*-
+# vim:fenc=utf-8
+#
+# Copyright © 2017 lafrite <lafrite@Poivre>
+#
+# Distributed under terms of the MIT license.
+
+from mapytex.calculus.core.tree import Tree
+from .mo import MO, MOnumber, MOstr
+from .exceptions import MOError
+from ..renders import tree2txt, tree2tex
+
+__all__ = ["MOpolynomial"]
+
+class MOpolynomial(MO):
+
+    """ MO polynomial"""
+
+    def __init__(self, variable, coefs):
+        """ Initiate a MOpolynomial
+
+        :param variable: variable of the monomial (a MOstr or later a MOSqrt)
+        :param coefs: dictionnary {deg: coef} or a list [coef0, coef1...]
+
+        :example:
+        >>> MOpolynomial('x', [1, 2, 3])
+        3x^2 + 2x + 1
+        >>> MOpolynomial('x', [1, 0, 3])
+        3x^2 + 1
+        >>> MOpolynomial('x', {0: 1, 1: 2, 2: 3})
+        3x^2 + 2x + 1
+        >>> MOpolynomial('x', {0: 1, 3: 4})
+        4x^3 + 1
+
+
+        """
+        _variable = MO.factory(variable)
+        if not isinstance(_variable, MOstr):
+            raise MOError("The variable of a monomial should be convertible into MOstr")
+        self._variable = _variable
+
+        if isinstance(coefs, dict):
+            _coefs = {MO.factory(d): MO.factory(c) for (d, c) in coefs}
+        elif isinstance(coefs, list):
+            _coefs = {MO.factory(d): MO.factory(c) for (d, c) in enumerate(coefs)}
+        else:
+            raise TypeError("Coefs needs to be a dictionnary or a list")
+        self._coefs = _coefs
+
+        monomials = []
+        for deg, coef in self._coefs:
+            if deg == 0:
+                monomials.append(coef)
+            elif deg == 1:
+                monomials.append(coef)
+        value = Tree("^",
+                     self._variable,
+                     self._power
+                    )
+        MO.__init__(self, value)
+
+    @property
+    def variable(self):
+        return self._variable
+
+    @property
+    def degree(self):
+        return self._power
+
+
+# -----------------------------
+# Reglages pour 'vim'
+# vim:set autoindent expandtab tabstop=4 shiftwidth=4:
+# cursor: 16 del