J3/07-336
To:        J3
From:      Van Snyder
Subject:   Move special function procedures to a standard module
Date:      14 November 2007

1.  Introduction

Responding to the straw votes on 14 November 2007, this paper changes the
intrinsic procedures to evaluate special mathematical functions from
intrinsic procedures to module procedures in a nonintrinsic module.

2.  Edits w.r.t. 07-007r3

[342ff]-------------------------------------------------------------------
Random editorial matter:  Add "Table 13.1" to the headings for table 13.1
on its continuation pages.

[427:9]-------------------------------------------------------------------
Editor: Delete "intrinsic" from the subclause title.

[427:11]------------------------------------------------------------------
Editor: Before "five" insert "one standard nonintrinsic module to support
special mathematical functions and".

[430:27+]-----------------------------------------------------------------
Editor: Insert a new subclause heading and introduction:

"<<13.8.3>> The FORTRAN_SPECIAL_FUNCTIONS module>>

"<<13.8.3.1 General>>

"The FORTRAN_SPECIAL_FUNCTIONS module defines public generic identifiers
for procedures that evaluate special mathematical functions.  This module
is optional.  If a processor provides this module, it shall provide the
procedures specified in this subclause, with the interfaces and
functionalities specified in this subclause.  The procedure interfaces are
summarized in Table 13.3.

STRAW VOTE:
	Require only default integer kinds, and default real and double
        precision real kinds, as arguments for the specific procedures
        accessed by the generic names?

"In the Class column of Table 13.3,

"  E indicates that the procedure is an elemental function, and
"  T indicates that the procedure is a transformational function.

"         Table 13.3: Standard generic identifiers of procedures to
                      evaluate special mathematical functions"

Make a table of the same form as Table 13.1, and move the entries for
BESSEL_[JY][01N] (page 342), ERF* (page 343), GAMMA (page 344) and
LOG_GAMMA (page 345) to this table.

Move the following subclauses from 13.7 to here:

13.7.20 BESSEL_J0
13.7.21 BESSEL_J1
13.7.22 BESSEL_JN
13.7.23 BESSEL_Y0
13.7.24 BESSEL_Y1
13.7.25 BESSEL_YN
17.7.59 ERF
13.7.60 ERFC
13.7.61 ERFC_SCALED
13.7.70 GAMMA
13.7.105 LOG_GAMMA

making them subsubsections 13.8.3.2 ... 13.8.3.12