Many MATLAB® built-in functions support gpuArray input
arguments. Whenever any of these functions is called with at least
one gpuArray as an input argument, the function executes on the GPU
and generates a gpuArray as the result. You can mix inputs using both
gpuArray and MATLAB arrays in the same function call; the MATLAB arrays
are transferred to the GPU for the function execution. Supporting
functions include the discrete Fourier transform (fft),
matrix multiplication (mtimes), and left matrix
division (mldivide).
The following functions and their symbol operators are enhanced to accept gpuArray input arguments so that they execute on the GPU:
See the release notes for information about updates to individual functions.
To get information about any restrictions or limitations concerning the support of any of these functions for gpuArray objects, type:
help gpuArray/functionname
For example, to see the help on the overload of lu,
type
help gpuArray/luIn most cases, if any of the input arguments to these functions
is a gpuArray, any output arrays are gpuArrays. If the output is always
scalar, it returns as MATLAB data in the workspace. If the result
is a gpuArray of complex data and all the imaginary parts are zero,
these parts are retained and the data remains complex. This could
have an impact when using sort, isreal,
etc.
This example uses the fft and real functions,
along with the arithmetic operators + and *.
All the calculations are performed on the GPU, then gather retrieves
the data from the GPU back to the MATLAB workspace.
Ga = rand(1000,'single','gpuArray'); Gfft = fft(Ga); Gb = (real(Gfft) + Ga) * 6; G = gather(Gb);
The whos command is instructive for showing
where each variable's data is stored.
whos
Name Size Bytes Class G 1000x1000 4000000 single Ga 1000x1000 108 gpuArray Gb 1000x1000 108 gpuArray Gfft 1000x1000 108 gpuArray
Notice that all the arrays are stored on the GPU (gpuArray),
except for G, which is the result of the gather function.
The following functions support sparse gpuArrays.
abs angle bicg bicgstab ceil classUnderlying conj ctranspose deg2rad end expm1 find fix floor full gmres gpuArray.speye imag isaUnderlying isdiag isempty | isequal isequaln isfloat isinteger islogical isnumeric isreal issparse istril istriu length log1p minus mtimes ndims nextpow2 nnz nonzeros numel nzmax pcg | plus rad2deg real realsqrt round sign size sparse spfun spones sprandsym sqrt sum transpose tril triu uminus uplus |
You can create a sparse gpuArray either by calling sparse with a gpuArray input, or by calling gpuArray with a sparse input. For example,
x = [0 1 0 0 0; 0 0 0 0 1]
0 1 0 0 0
0 0 0 0 1
s = sparse(x)
(1,2) 1 (2,5) 1
g = gpuArray(s); % g is a sparse gpuArray gt = transpose(g); % gt is a sparse gpuArray f = full(gt) % f is a full gpuArray
0 0
1 0
0 0
0 0
0 1
If the output of a function running on the GPU could potentially
be complex, you must explicitly specify its input arguments as complex.
This applies to gpuArray or to functions called
in code run by arrayfun.
For example, if creating a gpuArray which might have negative
elements, use G = gpuArray(complex(p)), then you
can successfully execute sqrt(G).
Or, within a function passed to arrayfun,
if x is a vector of real numbers, and some elements
have negative values, sqrt(x) will generate an
error; instead you should call sqrt(complex(x)).
The following table lists the functions that might return complex data, along with the input range over which the output remains real.
| Function | Input Range for Real Output |
|---|---|
acos(x) | abs(x) <= 1 |
acosh(x) | x >= 1 |
acoth(x) | abs(x) >= 1 |
acsc(x) | abs(x) >= 1 |
asec(x) | abs(x) >= 1 |
asech(x) | 0 <= x <= 1 |
asin(x) | abs(x) <= 1 |
atanh | abs(x) <= 1 |
log(x) | x >= 0 |
log1p(x) | x >= -1 |
log10(x) | x >= 0 |
log2(x) | x >= 0 |
power(x,y) | x >= 0 |
reallog(x) | x >= 0 |
realsqrt(x) | x >= 0 |
sqrt(x) | x >= 0 |
MAGMA is a library of linear algebra routines that take advantage of GPU acceleration. Linear algebra functions implemented for gpuArrays in Parallel Computing Toolbox™ leverage MAGMA to achieve high performance and accuracy.
Establish Arrays on a GPU | GPU Capabilities and Performance | Identify and Select a GPU Device | MAGMA