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* test whether complex operators properly handle
* full and partial aliasing.
* (libf2c/libF77 routines used to assume no aliasing,
* then were changed to accommodate full aliasing, while
* the libg2c/libF77 versions were changed to accommodate
* both full and partial aliasing.)
*
* NOTE: this (19990325-0.f) is the single-precision version.
* See 19990325-1.f for the double-precision version.
program complexalias
implicit none
* Make sure non-aliased cases work. (Catch roundoff/precision
* problems, etc., here. Modify subroutine check if they occur.)
call tryfull (1, 3, 5)
* Now check various combinations of aliasing.
* Full aliasing.
call tryfull (1, 1, 5)
* Partial aliasing.
call trypart (2, 3, 5)
call trypart (2, 1, 5)
call trypart (2, 5, 3)
call trypart (2, 5, 1)
end
subroutine tryfull (xout, xin1, xin2)
implicit none
integer xout, xin1, xin2
* out, in1, and in2 are the desired indexes into the REAL array (array).
complex expect
integer pwr
integer out, in1, in2
real array(6)
complex carray(3)
equivalence (carray(1), array(1))
* Make sure the indexes can be accommodated by the equivalences above.
if (mod (xout, 2) .ne. 1) call abort
if (mod (xin1, 2) .ne. 1) call abort
if (mod (xin2, 2) .ne. 1) call abort
* Convert the indexes into ones suitable for the COMPLEX array (carray).
out = (xout + 1) / 2
in1 = (xin1 + 1) / 2
in2 = (xin2 + 1) / 2
* Check some open-coded stuff, just in case.
call prepare1 (carray(in1))
expect = + carray(in1)
carray(out) = + carray(in1)
call check (expect, carray(out))
call prepare1 (carray(in1))
expect = - carray(in1)
carray(out) = - carray(in1)
call check (expect, carray(out))
call prepare2 (carray(in1), carray(in2))
expect = carray(in1) + carray(in2)
carray(out) = carray(in1) + carray(in2)
call check (expect, carray(out))
call prepare2 (carray(in1), carray(in2))
expect = carray(in1) - carray(in2)
carray(out) = carray(in1) - carray(in2)
call check (expect, carray(out))
call prepare2 (carray(in1), carray(in2))
expect = carray(in1) * carray(in2)
carray(out) = carray(in1) * carray(in2)
call check (expect, carray(out))
call prepare1 (carray(in1))
expect = carray(in1) ** 2
carray(out) = carray(in1) ** 2
call check (expect, carray(out))
call prepare1 (carray(in1))
expect = carray(in1) ** 3
carray(out) = carray(in1) ** 3
call check (expect, carray(out))
call prepare1 (carray(in1))
expect = abs (carray(in1))
array(out*2-1) = abs (carray(in1))
array(out*2) = 0
call check (expect, carray(out))
* Now check the stuff implemented in libF77.
call prepare1 (carray(in1))
expect = cos (carray(in1))
carray(out) = cos (carray(in1))
call check (expect, carray(out))
call prepare1 (carray(in1))
expect = exp (carray(in1))
carray(out) = exp (carray(in1))
call check (expect, carray(out))
call prepare1 (carray(in1))
expect = log (carray(in1))
carray(out) = log (carray(in1))
call check (expect, carray(out))
call prepare1 (carray(in1))
expect = sin (carray(in1))
carray(out) = sin (carray(in1))
call check (expect, carray(out))
call prepare1 (carray(in1))
expect = sqrt (carray(in1))
carray(out) = sqrt (carray(in1))
call check (expect, carray(out))
call prepare1 (carray(in1))
expect = conjg (carray(in1))
carray(out) = conjg (carray(in1))
call check (expect, carray(out))
call prepare1i (carray(in1), pwr)
expect = carray(in1) ** pwr
carray(out) = carray(in1) ** pwr
call check (expect, carray(out))
call prepare2 (carray(in1), carray(in2))
expect = carray(in1) / carray(in2)
carray(out) = carray(in1) / carray(in2)
call check (expect, carray(out))
call prepare2 (carray(in1), carray(in2))
expect = carray(in1) ** carray(in2)
carray(out) = carray(in1) ** carray(in2)
call check (expect, carray(out))
call prepare1 (carray(in1))
expect = carray(in1) ** .2
carray(out) = carray(in1) ** .2
call check (expect, carray(out))
end
subroutine trypart (xout, xin1, xin2)
implicit none
integer xout, xin1, xin2
* out, in1, and in2 are the desired indexes into the REAL array (array).
complex expect
integer pwr
integer out, in1, in2
real array(6)
complex carray(3), carrayp(2)
equivalence (carray(1), array(1))
equivalence (carrayp(1), array(2))
* Make sure the indexes can be accommodated by the equivalences above.
if (mod (xout, 2) .ne. 0) call abort
if (mod (xin1, 2) .ne. 1) call abort
if (mod (xin2, 2) .ne. 1) call abort
* Convert the indexes into ones suitable for the COMPLEX array (carray).
out = xout / 2
in1 = (xin1 + 1) / 2
in2 = (xin2 + 1) / 2
* Check some open-coded stuff, just in case.
call prepare1 (carray(in1))
expect = + carray(in1)
carrayp(out) = + carray(in1)
call check (expect, carrayp(out))
call prepare1 (carray(in1))
expect = - carray(in1)
carrayp(out) = - carray(in1)
call check (expect, carrayp(out))
call prepare2 (carray(in1), carray(in2))
expect = carray(in1) + carray(in2)
carrayp(out) = carray(in1) + carray(in2)
call check (expect, carrayp(out))
call prepare2 (carray(in1), carray(in2))
expect = carray(in1) - carray(in2)
carrayp(out) = carray(in1) - carray(in2)
call check (expect, carrayp(out))
call prepare2 (carray(in1), carray(in2))
expect = carray(in1) * carray(in2)
carrayp(out) = carray(in1) * carray(in2)
call check (expect, carrayp(out))
call prepare1 (carray(in1))
expect = carray(in1) ** 2
carrayp(out) = carray(in1) ** 2
call check (expect, carrayp(out))
call prepare1 (carray(in1))
expect = carray(in1) ** 3
carrayp(out) = carray(in1) ** 3
call check (expect, carrayp(out))
call prepare1 (carray(in1))
expect = abs (carray(in1))
array(out*2) = abs (carray(in1))
array(out*2+1) = 0
call check (expect, carrayp(out))
* Now check the stuff implemented in libF77.
call prepare1 (carray(in1))
expect = cos (carray(in1))
carrayp(out) = cos (carray(in1))
call check (expect, carrayp(out))
call prepare1 (carray(in1))
expect = exp (carray(in1))
carrayp(out) = exp (carray(in1))
call check (expect, carrayp(out))
call prepare1 (carray(in1))
expect = log (carray(in1))
carrayp(out) = log (carray(in1))
call check (expect, carrayp(out))
call prepare1 (carray(in1))
expect = sin (carray(in1))
carrayp(out) = sin (carray(in1))
call check (expect, carrayp(out))
call prepare1 (carray(in1))
expect = sqrt (carray(in1))
carrayp(out) = sqrt (carray(in1))
call check (expect, carrayp(out))
call prepare1 (carray(in1))
expect = conjg (carray(in1))
carrayp(out) = conjg (carray(in1))
call check (expect, carrayp(out))
call prepare1i (carray(in1), pwr)
expect = carray(in1) ** pwr
carrayp(out) = carray(in1) ** pwr
call check (expect, carrayp(out))
call prepare2 (carray(in1), carray(in2))
expect = carray(in1) / carray(in2)
carrayp(out) = carray(in1) / carray(in2)
call check (expect, carrayp(out))
call prepare2 (carray(in1), carray(in2))
expect = carray(in1) ** carray(in2)
carrayp(out) = carray(in1) ** carray(in2)
call check (expect, carrayp(out))
call prepare1 (carray(in1))
expect = carray(in1) ** .2
carrayp(out) = carray(in1) ** .2
call check (expect, carrayp(out))
end
subroutine prepare1 (in)
implicit none
complex in
in = (3.2, 4.2)
end
subroutine prepare1i (in, i)
implicit none
complex in
integer i
in = (2.3, 2.5)
i = 4
end
subroutine prepare2 (in1, in2)
implicit none
complex in1, in2
in1 = (1.3, 2.4)
in2 = (3.5, 7.1)
end
subroutine check (expect, got)
implicit none
complex expect, got
if (aimag(expect) .ne. aimag(got)) call abort
if (real(expect) .ne. real(expect)) call abort
end
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