\(\newcommand{\W}[1]{ \; #1 \; }\) \(\newcommand{\R}[1]{ {\rm #1} }\) \(\newcommand{\B}[1]{ {\bf #1} }\) \(\newcommand{\D}[2]{ \frac{\partial #1}{\partial #2} }\) \(\newcommand{\DD}[3]{ \frac{\partial^2 #1}{\partial #2 \partial #3} }\) \(\newcommand{\Dpow}[2]{ \frac{\partial^{#1}}{\partial {#2}^{#1}} }\) \(\newcommand{\dpow}[2]{ \frac{ {\rm d}^{#1}}{{\rm d}\, {#2}^{#1}} }\)
link_mat_mul¶
View page sourceSpeed Testing Derivative of Matrix Multiply¶
Prototype¶
extern bool link_mat_mul(
size_t size ,
size_t repeat ,
CppAD::vector<double>& x ,
CppAD::vector<double>& z ,
CppAD::vector<double>& dz
);
Purpose¶
Each package must define a version of this routine as specified below. This is used by the speed_main program to run the corresponding speed and correctness tests.
Return Value¶
If this speed test is not yet
supported by a particular package ,
the corresponding return value for link_mat_mul
should be false
.
n¶
The argument n is the number of rows and columns in the square matrix x .
repeat¶
The argument repeat is the number of different argument values that the derivative of z (or just the value of z ) will be computed.
x¶
The argument x is a vector with
x . size
() = size * size elements.
The input value of its elements does not matter.
The output value of its elements is the last random matrix
that is multiplied and then summed to form z ;
where s = size .
z¶
The argument z is a vector with one element. The input value of the element does not matter. The output of its element the sum of the elements of y = x * x ; i.e.,
dz¶
The argument dz is a vector with
dz . size
() = size * size .
The input values of its elements do not matter.
The output value of its elements form the
derivative of z with respect to x .