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@(@\newcommand{\B}[1]{{\bf #1}} \newcommand{\R}[1]{{\rm #1}}@)@
Binary Numeric Operators With an AD Result

Syntax
z = x op y

Purpose
Sets z to the result of the binary operation defined by op and with x as the left operand and y as the right operand.

op
The possible values for op are
op    Meaning
+ addition
- subtraction
* multiplication
/ division
** exponentiation

Types
The following table lists the possible types for x and y and the corresponding result type for z .
                      
y
 
x           float    a_float   a2float
         
-------------------------------
 float   
-   float    a_float   a2float
a_float  
-  a_float   a_float
a2float  
-  a2float             a2float
The type float does not need to be matched exactly but rather as an instance of float.

Arrays
Either x or y or both may be a numpy.array with elements that match one of possible type choices above. If both x and y are arrays, they must have the same shape. When either x or y is an array, the result z is an array with the same shape. The type of the elements of z correspond to the table above (when the result type is a float, this only refers to the element types matching as instances).

Example
The file ad_numeric.py contains an example and test of these operations. The file future_div_op.py contains an example and test of the future division operator
Input File: pycppad/pycppad.cpp