From 01eda97ff64ad2570b7105cc5b734f488ce0d47a Mon Sep 17 00:00:00 2001
From: Hong-Phuc Bui <hong-phuc.bui@htwsaar.de>
Date: Wed, 04 Jun 2025 18:30:14 +0200
Subject: [PATCH] Implement plus operator

---
 polymonial/polynomial.py |   34 +++++++++++++++++++++++++++++++++-
 1 files changed, 33 insertions(+), 1 deletions(-)

diff --git a/polymonial/polynomial.py b/polymonial/polynomial.py
index b847224..2ca4f73 100644
--- a/polymonial/polynomial.py
+++ b/polymonial/polynomial.py
@@ -1,7 +1,11 @@
 class Polynomial:
     def __init__(self, *argv: float):
+        if len(argv) < 1:
+            raise ValueError("A Polynomial has at least one coefficient.")
+        if argv[-1] == 0:
+            raise ValueError("The coefficient at the highest degree must not be zero.")
         self.__coefficients = tuple(argv)
-
+        self.__order = len(argv)
 
     def  evaluate(self, x: float) -> tuple[float, list[float]]:
         p = self.__coefficients[-1]
@@ -11,8 +15,36 @@
             c.insert(0, p)
         return c[0], c[1:]
 
+    def order(self):
+        return self.__order
+
+    def __add__(self, other: "Polynomial") -> "Polynomial":
+        if not isinstance(other, Polynomial):
+            raise ValueError("Operator + is only applicable for Polynomial.")
+        coefficients = []
+        if self.__order > other.__order:
+            low_order = other.__order
+            heigh_order = self.__order
+            higher_coefficients = self.__coefficients
+        else:
+            low_order = self.__order
+            heigh_order = other.__order
+            higher_coefficients = other.__coefficients
+
+        for i in range(0, low_order):
+            coefficients.append(self.__coefficients[i] + other.__coefficients[i])
+        for j in range(i+1, heigh_order):
+            coefficients.append(higher_coefficients[j])
+        return Polynomial(*coefficients)
+
+    def __getitem__(self, key):
+        return self.__coefficients[key]
+
+
     def __repr__(self) -> str:
         coe = []
         for c in self.__coefficients:
             coe.append(f'{c}')
         return ' '.join(coe)
+
+

--
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