Numeric Intrinsic Functions

Summary,

As all are elemental they can accept array arguments, the result is the same shape as the argument(s) and is the same as if the intrinsic had been called separately for each array element of the argument.

• ABS -- absolute value.

  The argument can be INTEGER, REAL or COMPLEX, the result is of the same type as the argument except for complex where the result is real valued, for example, ABS(-1) is 1, ABS(-.2) is 0.2 and ABS(CMPLX(-3.0,4.0)) is 5.0.

• AINT -- truncates to a whole number.

  The argument and result are real valued, for example, AINT(1.7) is 1.0 and AINT(-1.7) is -1.0.

• ANINT -- nearest whole number.

  The argument and result are real valued, for example, AINT(1.7) is 2.0 and AINT(-1.7) is -2.0.

• CEILING, FLOOR -- smallest INTEGER greater than (or equal to), or biggest INTEGER less than (or equal to) the argument.

  The argument must be REAL, for example, CEILING(1.7) is 2 CEILING(-1.7) is 1.

• CMPLX -- converts to complex value.

  The argument must be two real numbers, for example, CMPLX (3.6,4.5) is a complex number.

• DBLE -- coerce to DOUBLE PRECISION data type.

  Arguments must be REAL, INTEGER or COMPLEX. The result is the actual argument converted to a DOUBLE PRECISION number.

• DIM -- positive difference.

  Arguments must be REAL or INTEGER. If X bigger than Y then DIM(X,Y) = X-Y, if Y>X and result of X-Y is negative then DIM(X,Y) is zero, for example, DIM(2,7) is 0 and DIM(7,2) is 5.

• INT truncates to an INTEGER (as in integer division)

  Actual argument must be numeric, for example INT(8.6) is 8 and INTCMPLX(2.6,4.0) is 2.

• MAX and MIN -- maximum and minimum functions.

  These must have at least two arguments which must be INTEGER or REAL. MAX(1.0,2.0) is 2.0.

• MOD -- remainder function.

  Arguments must be REAL or INTEGER. MOD(a,p) is the remainder when evaluating a/p, for example, MOD(9,5) is 4, MOD (-9.0,5.0) is -4.0.

• MODULO -- modulo function.

  Arguments must be REAL or INTEGER. MODULO(a,b) is , for example, MOD(9,5) is 4, MOD(-9.0,5.0) is 1.0.

• REAL -- coverts to REAL value.

  For example, REAL(5) is 5.0

• SIGN -- transfers the sign of the second argument to the first.

  The arguments are real or integer and the result is of the same type and is equal to ABS(a)*(b/ ABS(b)), for example, SIGN(6,-7) is -6, SIGN(-6,7) is 6.

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