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Up-> CppAD AD BoolValued BoolFun

CppAD-> Install Introduction AD ADFun preprocessor multi_thread utility ipopt_solve Example speed Appendix

AD-> ad_ctor ad_assign Convert ADValued BoolValued VecAD base_require

BoolValued-> Compare NearEqualExt BoolFun ParVar EqualOpSeq

BoolFun-> bool_fun.cpp

Headings-> Syntax Purpose unary_name u x b Create Unary binary_name v y Create Binary Operation Sequence Example Deprecated 2007-07-31

@(@\newcommand{\W}[1]{ \; #1 \; } \newcommand{\R}[1]{ {\rm #1} } \newcommand{\B}[1]{ {\bf #1} } \newcommand{\D}[2]{ \frac{\partial #1}{\partial #2} } \newcommand{\DD}[3]{ \frac{\partial^2 #1}{\partial #2 \partial #3} } \newcommand{\Dpow}[2]{ \frac{\partial^{#1}}{\partial {#2}^{#1}} } \newcommand{\dpow}[2]{ \frac{ {\rm d}^{#1}}{{\rm d}\, {#2}^{#1}} }@)@AD Boolean Functions
Syntax
CPPAD_BOOL_UNARY(Base, unary_name)
b = unary_name(u)
b = unary_name(x)
CPPAD_BOOL_BINARY(Base, binary_name)
b = binary_name(u, v)
b = binary_name(x, y)

Purpose
Create a bool valued function that has AD<Base> arguments.

unary_name
This is the name of the bool valued function with one argument (as it is used in the source code). The user must provide a version of unary_name where the argument has type Base . CppAD uses this to create a version of unary_name where the argument has type AD<Base> .

u
The argument u has prototype
     const Base &u
It is the value at which the user provided version of unary_name is to be evaluated. It is also used for the first argument to the user provided version of binary_name .

x
The argument x has prototype
     const AD<Base> &x
It is the value at which the CppAD provided version of unary_name is to be evaluated. It is also used for the first argument to the CppAD provided version of binary_name .

b
The result b has prototype
     bool b

Create Unary
The preprocessor macro invocation
     CPPAD_BOOL_UNARY(Base, unary_name)
defines the version of unary_name with a AD<Base> argument. This can with in a namespace (not the CppAD namespace) but must be outside of any routine.

binary_name
This is the name of the bool valued function with two arguments (as it is used in the source code). The user must provide a version of binary_name where the arguments have type Base . CppAD uses this to create a version of binary_name where the arguments have type AD<Base> .

v
The argument v has prototype
     const Base &v
It is the second argument to the user provided version of binary_name .

y
The argument x has prototype
     const AD<Base> &y
It is the second argument to the CppAD provided version of binary_name .

Create Binary
The preprocessor macro invocation
     CPPAD_BOOL_BINARY(Base, binary_name)
defines the version of binary_name with AD<Base> arguments. This can with in a namespace (not the CppAD namespace) but must be outside of any routine.

Operation Sequence
The result of this operation is not an AD of Base object. Thus it will not be recorded as part of an AD of Base operation sequence .

Example
The file bool_fun.cpp contains an example and test of these operations. It returns true if it succeeds and false otherwise.

Deprecated 2007-07-31
The preprocessor symbols CppADCreateUnaryBool and CppADCreateBinaryBool are defined to be the same as CPPAD_BOOL_UNARY and CPPAD_BOOL_BINARY respectively (but their use is deprecated).

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Input File: cppad/core/bool_fun.hpp