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_debug_info = 1; () = evalfile ("inc.sl");
print ("Testing Matrix Multiplications ...");
#ifexists Double_Type
static define dot_prod (a, b)
{
(a # b)[0]; % transpose not needed for 1-d arrays
}
static define sum (a)
{
variable ones = Double_Type [length (a)] + 1;
dot_prod (a, ones);
}
if (1+2+3+4+5 != sum([1,2,3,4,5]))
failed ("sum");
#ifexists Complex_Type
if (1+2i != sum ([1,2i]))
failed ("sum complex");
#endif
define mult (a, b)
{
variable dims_a, dims_b;
variable nr_a, nr_b, nc_a, nc_b;
variable i, j;
variable c;
(dims_a,,) = array_info (a);
(dims_b,,) = array_info (b);
nr_a = dims_a[0];
nc_a = dims_a[1];
nr_b = dims_b[0];
nc_b = dims_b[1];
c = _typeof ([a[0,0]]#[b[0,0]])[nr_a, nc_b];
for (i = 0; i < nr_a; i++)
{
for (j = 0; j < nc_b; j++)
c[i,j] = dot_prod (a[i,*], b[*,j]);
}
return c;
}
static define arr_cmp (a, b)
{
variable i = length (where (b != a));
if (i == 0)
return 0;
i = where (b != a);
a = a[i];
b = b[i];
reshape (a, [length(a)]);
reshape (b, [length(b)]);
vmessage ("%S != %S\n", a[0], b[0]);
return 1;
}
static define test (a, b)
{
if (0 != arr_cmp (mult (a,b), a#b))
failed ("%S # %S", a, b);
}
variable A, B;
#ifexists Complex_Type
A = [1+2i];
B = [3+4i];
reshape (A, [1, 1]);
reshape (B, [1, 1]);
test (A,B);
#endif
% Test intgers
A = _reshape ([[1, 2, 3], [4, 5, 6]], [2,3]);
B = _reshape ([[7,8,9],[1,2,4]], [2,3]);
B = transpose (B);
test (A, B);
B *= 1f;
test (A, B);
B *= 1.0;
test (A,B);
A *= 1f;
test (A,B);
#ifexists Complex_Type
B += 2i;
test (A,B);
A += 3i;
test (A,B);
B = Real(B);
test (A,B);
% Now try an empty array
if (Complex_Type != _typeof (Complex_Type[0,0,0] # Complex_Type[0]))
failed ("[]#[]");
#endif
% And finally, do a 3-d array:
A = _reshape ([1:2*3*4], [2,3,4]);
B = _reshape ([1:4*5*6], [4,5,6]);
static variable C = A#B;
% C should be a [2,3,5,6] matrix. Let's check via brute force
static define multiply_3d (a, b, c)
{
variable i, j, k, l, m;
variable dims_a, dims_b;
(dims_a,,) = array_info(a);
(dims_b,,) = array_info(b);
_for (0, dims_a[0]-1, 1)
{
i = ();
_for (0, dims_a[1]-1, 1)
{
j = ();
_for (0, dims_b[1]-1, 1)
{
l = ();
_for (0, dims_b[2]-1, 1)
{
m = ();
variable sum = 0;
_for (0, dims_b[0]-1, 1)
{
k = ();
sum += a[i,j,k] * b[k, l, m];
}
if (sum != c[i,j,l,m])
failed ("multiply_3d");
}
}
}
}
}
multiply_3d (A, B, C);
print ("Ok\n");
#else
print ("Not available\n");
#endif
exit (0);
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