When MODULO is called with two positive arguments, it should always produce a nonnegative value. However, the following code, when compiled with "-xCORE-AVX2 -O1" using ifort 17.0.2, produces a negative value!
SUBROUTINE modchk(x,n) REAL*4 :: x, z INTEGER*4 :: n z = x*n z = MODULO(z,1.e0) IF (z < 0.e0) THEN PRINT '("MODULO(v,1.e0) is negative! z=",E17.10)', z ELSE PRINT '("MODULO(v,1.e0) is nonnegative, z=",E17.10)', z END IF RETURN END SUBROUTINE modchk PROGRAM drv INTEGER*4 :: n REAL*4 :: x n = 42 x = 2.3809524e0 CALL modchk(x,n) END PROGRAM drv
Example output:
$ ifort -xCORE-AVX2 -O1 modulobug.f90 -o modulobug
$ ./modulobug
MODULO(v,1.e0) is negative! z=-0.9536743164E-06
Here is some info about my processor and compiler:
$ uname -a
Linux orpheus 4.4.0-53-generic #74-Ubuntu SMP Fri Dec 2 15:59:10 UTC 2016 x86_64 x86_64 x86_64 GNU/Linux
$ ifort -v
ifort version 17.0.2
This is quite a serious problem because it directly violates the MODULO documentation. Many numerical codes (e.g. table based interpolation) use MODULO and do not check the sign of the return value when it is known that the arguments will be positive.