9.80 DOT_PRODUCT — Dot product function

Description:
DOT_PRODUCT(VECTOR_A, VECTOR_B) computes the dot product multiplication of two vectors VECTOR_A and VECTOR_B. The two vectors may be either numeric or logical and must be arrays of rank one and of equal size. If the vectors are INTEGER or REAL, the result is SUM(VECTOR_A*VECTOR_B). If the vectors are COMPLEX, the result is SUM(CONJG(VECTOR_A)*VECTOR_B). If the vectors are LOGICAL, the result is ANY(VECTOR_A .AND. VECTOR_B).
Standard:
Fortran 95 and later
Class:
Transformational function
Syntax:
RESULT = DOT_PRODUCT(VECTOR_A, VECTOR_B)
Arguments:
VECTOR_A The type shall be numeric or LOGICAL, rank 1.
VECTOR_B The type shall be numeric if VECTOR_A is of numeric type or LOGICAL if VECTOR_A is of type LOGICAL. VECTOR_B shall be a rank-one array.
Return value:
If the arguments are numeric, the return value is a scalar of numeric type, INTEGER, REAL, or COMPLEX. If the arguments are LOGICAL, the return value is .TRUE. or .FALSE..
Example:
program test_dot_prod
    integer, dimension(3) :: a, b
    a = (/ 1, 2, 3 /)
    b = (/ 4, 5, 6 /)
    print '(3i3)', a
    print *
    print '(3i3)', b
    print *
    print *, dot_product(a,b)
end program test_dot_prod

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Licensed under the GNU Free Documentation License, Version 1.3.
https://gcc.gnu.org/onlinedocs/gcc-5.4.0/gfortran/DOT_005fPRODUCT.html