VEC_$REC1CR                       Domain/OS                        VEC_$REC1CR


NAME
     vec_$rec1cr - function returning first-order linear recurrence of
     single-precision vector with constant coefficient

SYNOPSIS (C)
     #include <apollo/base.h>
     #include <apollo/vec.h>

     float vec_$rec1cr(
          float *start_vec,
          long int &count,
          float &mult_constant,
          float &init_value)

SYNOPSIS (Pascal)
     %include '/sys/ins/base.ins.pas';
     %include '/sys/ins/vec.ins.pas';

     function vec_$rec1cr(
          in start_vec: univ vec_$real_vector;
          in count: integer32;
          in mult_constant: real;
          in init_value: real):real;

SYNOPSIS (FORTRAN)
     %include '/sys/ins/base.ins.ftn'
     %include '/sys/ins/vec.ins.ftn'

           parameter (nvec = 10)

           real start_vec(nvec), init_value, mult_constant, return_value
           integer*4 count

           return_value = vec_$rec1cr(start_vec, count, mult_constant, init_value)

DESCRIPTION
     Vec_$rec1cr calculates a first-order linear recurrence with constant
     coefficient based on start_vec.  Unlike vec_$rec1c, it does not produce
     an output vector.  Instead, it calculates the value of each entry in a
     temporary output vector, then returns the value of the last entry.

     This routine sets its return value to init_value; it then performs a
     recurrence calculation as follows:

     For each integer I such that 1 <= I <= count,
     return_value = start_vec(I) + (mult_constant x return_value)

     start_vec
          An input vector.

     mult_constant
          A scalar multiplier.

     count
          The number of elements to be operated on.

     init_value
          The initial value on which the recurrence calculation is based.

NOTES
     When vec_$rec1cr is used to operate on matrixes in C and Pascal,
     start_vec is a row vector; in FORTRAN, it is a column vector.

     vec_$rec1cr may be used to evaluate a polynomial by passing the highest-
     order polynomial coefficient as init_value, the remainder of the polyno-
     mial coefficients as start_vec, the degree as count, and the value for
     which you want the polynomial evaluated as mult_constant.


SEE ALSO
     vec_$rec1, vec_$rec1c, vec_$rec1n, vec_$rec1r, vec_$rec1cr_i,
     vec_$drec1cr, vec_$drec1cr_i, vec_$irec1cr, vec_$irec1cr_i,
     vec_$irec1cr16, vec_$irec1cr16_i.