Prefer cdef to def, removes runtime reflection in operands

src/flint/flint_base/flint_base.pxd

@@ -17,7 +17,6 @@ cdef class flint_mpoly(flint_elem):
     cdef _add_scalar_(self, other)
     cdef _sub_scalar_(self, other)
     cdef _mul_scalar_(self, other)
-    cdef _pow_(self, other)
 
     cdef _add_mpoly_(self, other)
     cdef _sub_mpoly_(self, other)
@@ -28,7 +27,15 @@ cdef class flint_mpoly(flint_elem):
     cdef _truediv_mpoly_(self, other)
     cdef _mod_mpoly_(self, other)
 
+    cdef _rsub_scalar_(self, other)
+    cdef _rsub_mpoly_(self, other)
+
+    cdef _rdivmod_mpoly_(self, other)
+    cdef _rfloordiv_mpoly_(self, other)
     cdef _rtruediv_mpoly_(self, other)
+    cdef _rmod_mpoly_(self, other)
+
+    cdef _pow_(self, other)
 
     cdef _iadd_scalar_(self, other)
     cdef _isub_scalar_(self, other)

src/flint/flint_base/flint_base.pyx

@@ -165,7 +165,6 @@ cdef class flint_scalar(flint_elem):
         return self._invert_()
 
 
-
 cdef class flint_poly(flint_elem):
     """
     Base class for polynomials.
@@ -414,9 +413,6 @@ cdef class flint_mpoly(flint_elem):
     cdef _mul_scalar_(self, other):
         return NotImplemented
 
-    cdef _pow_(self, other):
-        return NotImplemented
-
     cdef _add_mpoly_(self, other):
         return NotImplemented
 
@@ -435,10 +431,28 @@ cdef class flint_mpoly(flint_elem):
     cdef _truediv_mpoly_(self, other):
         return NotImplemented
 
+    cdef _mod_mpoly_(self, other):
+        return NotImplemented
+
+    cdef _rsub_scalar_(self, other):
+        return NotImplemented
+
+    cdef _rsub_mpoly_(self, other):
+        return NotImplemented
+
+    cdef _rdivmod_mpoly_(self, other):
+        return NotImplemented
+
+    cdef _rfloordiv_mpoly_(self, other):
+        return NotImplemented
+
     cdef _rtruediv_mpoly_(self, other):
         return NotImplemented
 
-    cdef _mod_mpoly_(self, other):
+    cdef _rmod_mpoly_(self, other):
+        return NotImplemented
+
+    cdef _pow_(self, other):
         return NotImplemented
 
     cdef _iadd_scalar_(self, other):
@@ -471,32 +485,15 @@ cdef class flint_mpoly(flint_elem):
         return self._add_scalar_(other)
 
     def __radd__(self, other):
-        return self.__add__(other)
-
-    def iadd(self, other):
-        """
-        In-place addition, mutates self.
-
-            >>> from flint import Ordering, fmpz_mpoly_ctx
-            >>> ctx = fmpz_mpoly_ctx.get_context(2, Ordering.lex, 'x')
-            >>> f = ctx.from_dict({(1, 0): 2, (0, 1): 3, (1, 1): 4})
-            >>> f
-            4*x0*x1 + 2*x0 + 3*x1
-            >>> f.iadd(5)
-            >>> f
-            4*x0*x1 + 2*x0 + 3*x1 + 5
-
-        """
         if typecheck(other, type(self)):
             self.context().compatible_context_check(other.context())
-            self._iadd_mpoly_(other)
-            return
+            return self._add_mpoly_(other)
 
-        other_scalar = self.context().any_as_scalar(other)
-        if other_scalar is NotImplemented:
-            raise NotImplementedError(f"cannot add {type(self)} and {type(other)}")
+        other = self.context().any_as_scalar(other)
+        if other is NotImplemented:
+            return NotImplemented
 
-        self._iadd_scalar_(other_scalar)
+        return self._add_scalar_(other)
 
     def __sub__(self, other):
         if typecheck(other, type(self)):
@@ -510,32 +507,15 @@ cdef class flint_mpoly(flint_elem):
         return self._sub_scalar_(other)
 
     def __rsub__(self, other):
-        return -self.__sub__(other)
-
-    def isub(self, other):
-        """
-        In-place subtraction, mutates self.
-
-            >>> from flint import Ordering, fmpz_mpoly_ctx
-            >>> ctx = fmpz_mpoly_ctx.get_context(2, Ordering.lex, 'x')
-            >>> f = ctx.from_dict({(1, 0): 2, (0, 1): 3, (1, 1): 4})
-            >>> f
-            4*x0*x1 + 2*x0 + 3*x1
-            >>> f.isub(5)
-            >>> f
-            4*x0*x1 + 2*x0 + 3*x1 - 5
-
-        """
         if typecheck(other, type(self)):
             self.context().compatible_context_check(other.context())
-            self._isub_mpoly_(other)
-            return
+            return self._rsub_mpoly_(other)
 
-        other_scalar = self.context().any_as_scalar(other)
-        if other_scalar is NotImplemented:
-            raise NotImplementedError(f"cannot subtract {type(self)} and {type(other)}")
+        other = self.context().any_as_scalar(other)
+        if other is NotImplemented:
+            return NotImplemented
 
-        self._isub_scalar_(other_scalar)
+        return self._rsub_scalar_(other)
 
     def __mul__(self, other):
         if typecheck(other, type(self)):
@@ -549,32 +529,15 @@ cdef class flint_mpoly(flint_elem):
         return self._mul_scalar_(other)
 
     def __rmul__(self, other):
-        return self.__mul__(other)
-
-    def imul(self, other):
-        """
-        In-place multiplication, mutates self.
-
-            >>> from flint import Ordering, fmpz_mpoly_ctx
-            >>> ctx = fmpz_mpoly_ctx.get_context(2, Ordering.lex, 'x')
-            >>> f = ctx.from_dict({(1, 0): 2, (0, 1): 3, (1, 1): 4})
-            >>> f
-            4*x0*x1 + 2*x0 + 3*x1
-            >>> f.imul(2)
-            >>> f
-            8*x0*x1 + 4*x0 + 6*x1
-
-        """
         if typecheck(other, type(self)):
             self.context().compatible_context_check(other.context())
-            self._imul_mpoly_(other)
-            return
+            return self._mul_mpoly_(other)
 
-        other_scalar = self.context().any_as_scalar(other)
-        if other_scalar is NotImplemented:
-            raise NotImplementedError(f"cannot multiply {type(self)} and {type(other)}")
+        other = self.context().any_as_scalar(other)
+        if other is NotImplemented:
+            return NotImplemented
 
-        self._imul_scalar_(other_scalar)
+        return self._mul_scalar_(other)
 
     def __pow__(self, other, modulus):
         if modulus is not None:
@@ -611,7 +574,7 @@ cdef class flint_mpoly(flint_elem):
 
         other = self.context().scalar_as_mpoly(other)
         other._division_check(self)
-        return other._divmod_mpoly_(self)
+        return self._rdivmod_mpoly_(other)
 
     def __truediv__(self, other):
         if typecheck(other, type(self)):
@@ -634,7 +597,6 @@ cdef class flint_mpoly(flint_elem):
 
         other = self.context().scalar_as_mpoly(other)
         other._division_check(self)
-        # return other._truediv_mpoly_(self)
         return self._rtruediv_mpoly_(other)
 
     def __floordiv__(self, other):
@@ -658,7 +620,7 @@ cdef class flint_mpoly(flint_elem):
 
         other = self.context().scalar_as_mpoly(other)
         other._division_check(self)
-        return other._floordiv_mpoly_(self)
+        return self._rfloordiv_mpoly_(other)
 
     def __mod__(self, other):
         if typecheck(other, type(self)):
@@ -681,7 +643,82 @@ cdef class flint_mpoly(flint_elem):
 
         other = self.context().scalar_as_mpoly(other)
         other._division_check(self)
-        return other._mod_mpoly_(self)
+        return self._rmod_mpoly_(other)
+
+    def iadd(self, other):
+        """
+        In-place addition, mutates self.
+
+            >>> from flint import Ordering, fmpz_mpoly_ctx
+            >>> ctx = fmpz_mpoly_ctx.get_context(2, Ordering.lex, 'x')
+            >>> f = ctx.from_dict({(1, 0): 2, (0, 1): 3, (1, 1): 4})
+            >>> f
+            4*x0*x1 + 2*x0 + 3*x1
+            >>> f.iadd(5)
+            >>> f
+            4*x0*x1 + 2*x0 + 3*x1 + 5
+
+        """
+        if typecheck(other, type(self)):
+            self.context().compatible_context_check(other.context())
+            self._iadd_mpoly_(other)
+            return
+
+        other_scalar = self.context().any_as_scalar(other)
+        if other_scalar is NotImplemented:
+            raise NotImplementedError(f"cannot add {type(self)} and {type(other)}")
+
+        self._iadd_scalar_(other_scalar)
+
+    def isub(self, other):
+        """
+        In-place subtraction, mutates self.
+
+            >>> from flint import Ordering, fmpz_mpoly_ctx
+            >>> ctx = fmpz_mpoly_ctx.get_context(2, Ordering.lex, 'x')
+            >>> f = ctx.from_dict({(1, 0): 2, (0, 1): 3, (1, 1): 4})
+            >>> f
+            4*x0*x1 + 2*x0 + 3*x1
+            >>> f.isub(5)
+            >>> f
+            4*x0*x1 + 2*x0 + 3*x1 - 5
+
+        """
+        if typecheck(other, type(self)):
+            self.context().compatible_context_check(other.context())
+            self._isub_mpoly_(other)
+            return
+
+        other_scalar = self.context().any_as_scalar(other)
+        if other_scalar is NotImplemented:
+            raise NotImplementedError(f"cannot subtract {type(self)} and {type(other)}")
+
+        self._isub_scalar_(other_scalar)
+
+    def imul(self, other):
+        """
+        In-place multiplication, mutates self.
+
+            >>> from flint import Ordering, fmpz_mpoly_ctx
+            >>> ctx = fmpz_mpoly_ctx.get_context(2, Ordering.lex, 'x')
+            >>> f = ctx.from_dict({(1, 0): 2, (0, 1): 3, (1, 1): 4})
+            >>> f
+            4*x0*x1 + 2*x0 + 3*x1
+            >>> f.imul(2)
+            >>> f
+            8*x0*x1 + 4*x0 + 6*x1
+
+        """
+        if typecheck(other, type(self)):
+            self.context().compatible_context_check(other.context())
+            self._imul_mpoly_(other)
+            return
+
+        other_scalar = self.context().any_as_scalar(other)
+        if other_scalar is NotImplemented:
+            raise NotImplementedError(f"cannot multiply {type(self)} and {type(other)}")
+
+        self._imul_scalar_(other_scalar)
 
     def __contains__(self, x):
         """