Fix(API): Rewrite tree apply_on_last_level and reorganise simplify

mapytex/calculus/API/__init__.py

@@ -21,6 +21,7 @@ Generate and compute like a student!
 2 + 12
 14
 
+
 >>> e = Expression.from_str("2+3/2")
 >>> e_simplified = e.simplify()
 >>> print(e_simplified)
@@ -34,6 +35,20 @@ Generate and compute like a student!
 (4 + 3) / 2
 7 / 2
 
+>>> e = Expression.from_str("(2+3)/2 + 1")
+>>> e_simplified = e.simplify()
+>>> print(e_simplified)
+7 / 2
+>>> for s in e_simplified.explain():
+...    print(s)
+(2 + 3) / 2 + 1
+5 / 2 + 1
+5 / 2 + 1 / 1
+5 / 2 + (1 * 2) / (1 * 2)
+5 / 2 + 2 / 2
+(5 + 2) / 2
+7 / 2
+
 >>> e = Expression.from_str("(2/3)^4")
 >>> e_simplified = e.simplify()
 >>> print(e_simplified)
@@ -54,10 +69,28 @@ x^2 * x * x^4
 x^3 * x^4
 x^(3 + 4)
 x^7
+
+>>> e = Expression.from_str("2x+2+3x")
+>>> e_simplified = e.simplify()
+>>> print(e_simplified)
+5x + 2
+>>> for s in e_simplified.explain():
+...    print(s)
+2x + 2 + 3x
+2x + 3x + 2
+(2 + 3) * x + 2
+5x + 2
 """
 
 from .expression import Expression
 
+if __name__ == "__main__":
+    e = Expression.from_str("2x+2+3x")
+    print(e)
+    e_simplified = e.simplify()
+    print(e_simplified)
+    
+
 
 # -----------------------------
 # Reglages pour 'vim'

mapytex/calculus/API/expression.py

@@ -10,7 +10,7 @@
 Expression
 
 """
-from ..core import AssocialTree, Tree, compute, typing
+from ..core import AssocialTree, Tree, compute, typing, TypingError
 from .renders import renders
 
 class Expression(object):
@@ -104,19 +104,30 @@ class Expression(object):
         >>> f._ancestor
         <Exp: 2 + 12>
         """
+        t = self._tree
         if optimize:
             try:
                 # TODO: need to test exclude_nodes |ven. oct.  5 08:51:02 CEST 2018
-                self._tree = self._tree.balance(
+                t = t.balance(
                     exclude_nodes=["\\", "**"]
                                    )
             except AttributeError:
                 pass
+
+        more_typing = 1
+        while more_typing:
             try:
-            t = self._tree.apply_on_last_level(compute, typing)
-        except AttributeError:
-            return self
+                t = t.apply_on_last_level(typing)
+            except TypingError:
+                more_typing = 0
             except NotImplementedError:
+                more_typing = 0
+            except AttributeError:
+                more_typing = 0
+
+        try:
+            t = t.apply_on_last_level(compute)
+        except AttributeError:
             return self
         else:
             e = Expression(t, ancestor=self)

mapytex/calculus/core/__init__.py

@@ -18,7 +18,7 @@ Abstracts tools for calculs manipulations
  > *
  | > 3
  | > 4
->>> print(t.apply_on_last_level(compute, typing))
+>>> print(t.apply_on_last_level(compute))
 +
  > 2
  > 12
@@ -34,7 +34,12 @@ Abstracts tools for calculs manipulations
  > /
  | > 3
  | > 4
->>> print(t.apply_on_last_level(compute, typing))
+>>> print(t.apply_on_last_level(compute))
+Traceback (most recent call last):
+    ...
+NotImplementedError: Can't divide 2 int. Need to create a Fraction instead
+>>> tt = t.apply_on_last_level(typing)
+>>> print(tt.apply_on_last_level(compute))
 +
  > /
  | > 2
@@ -42,7 +47,12 @@ Abstracts tools for calculs manipulations
  > /
  | > 3
  | > 4
-
+>>> type(t.right_value)
+<class 'mapytex.calculus.core.tree.Tree'>
+>>> type(tt.right_value)
+<class 'mapytex.calculus.core.MO.fraction.MOFraction'>
+>>> tt.right_value
+<MOFraction 3 / 4>
 
 >>> t = Tree.from_str("2+3x")
 >>> print(t)
@@ -56,7 +66,7 @@ Abstracts tools for calculs manipulations
 
 from .tree import Tree, AssocialTree
 from .compute import compute
-from .typing import typing
+from .typing import typing, TypingError
 from .renders import tree2txt, tree2tex
 
 

mapytex/calculus/core/tree.py

@@ -294,13 +294,10 @@ class Tree(object):
 
         return Tree(self.node, left_applied, right_applied)
 
-    def apply_on_last_level(self, 
-                            function, 
-                            fallback = lambda n,l,r: Tree(n,l,r)):
+    def apply_on_last_level(self, function):
         """ Apply the function on last level of the tree before leaf
 
         :param function: (op, a, a) -> b function to apply on last level
-        :param fallback: (op, a, a) -> b  fallback function to apply on subtree which raise a NotImplementedError. The return value will be concidered as an leaf
         :returns: b if it is a 1 level Tree, Tree otherwise
 
 
@@ -330,30 +327,17 @@ class Tree(object):
         """
 
         left_is_leaf = 0
-        right_is_leaf = 0
         try:
             left_applied = self.left_value.\
-                apply_on_last_level(function, fallback)
-        except NotImplementedError:
-            # TODO: overload __getitem__ to ease unpacking |dim. sept. 23 19:17:50 CEST 2018
-            left_is_leaf = 1
-            left_tree = self.left_value
-            left_applied = fallback(left_tree.node,
-                                         left_tree.left_value,
-                                         left_tree.right_value)
+                apply_on_last_level(function)
         except AttributeError:
             left_applied = self.left_value
             left_is_leaf = 1
 
+        right_is_leaf = 0
         try:
             right_applied = self.right_value.\
-                apply_on_last_level(function, fallback)
-        except NotImplementedError:
-            right_is_leaf = 1
-            right_tree = self.right_value
-            right_applied = fallback(right_tree.node,
-                                         right_tree.left_value,
-                                         right_tree.right_value)
+                apply_on_last_level(function)
         except AttributeError:
             right_applied = self.right_value
             right_is_leaf = 1