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float.fs
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1.24:
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Wed Feb 3 00:10:20 1999 UTC (25 years, 2 months ago) by
crook
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New "docclean" target for makefile (removes glossary dependencies when
rebuilding documentation). Changes to .fs files and prim are restricted
to glossary (\G) additions for the documentation; this has necessitated
the addition of new white-space in places to stop the \G stuff from
obscuring the code. Many additions to doc/gforth.ds - new sections
added, a few things moved and some sections re-written slightly. There
are a set of things to tidy up before this rev. is suitable for
release, and those will be my highest priority. I have also used
"@comment TODO" to highlight other sections I plan to work on, and
added a set of comments at the start to indicate other things I plan
to modify in the medium-term.
\ High level floating point 14jan94py
\ Copyright (C) 1995,1997 Free Software Foundation, Inc.
\ This file is part of Gforth.
\ Gforth is free software; you can redistribute it and/or
\ modify it under the terms of the GNU General Public License
\ as published by the Free Software Foundation; either version 2
\ of the License, or (at your option) any later version.
\ This program is distributed in the hope that it will be useful,
\ but WITHOUT ANY WARRANTY; without even the implied warranty of
\ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
\ GNU General Public License for more details.
\ You should have received a copy of the GNU General Public License
\ along with this program; if not, write to the Free Software
\ Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
\ 1 cells 4 = [IF]
\ ' cells Alias sfloats
\ ' cell+ Alias sfloat+
\ ' align Alias sfalign
\ ' aligned Alias sfaligned
\ [ELSE]
\ : sfloats 2* 2* ;
\ : sfloat+ 4 + ;
\ : sfaligned ( addr -- addr' ) 3 + -4 and ;
\ : sfalign ( -- ) here dup sfaligned swap ?DO bl c, LOOP ;
\ [THEN]
\ 1 floats 8 = [IF]
\ ' floats Alias dfloats
\ ' float+ Alias dfloat+
\ ' falign Alias dfalign
\ ' faligned Alias dfaligned
\ [ELSE]
\ : dfloats 2* 2* 2* ;
\ : dfloat+ 8 + ;
\ : dfaligned ( addr -- addr' ) 7 + -8 and ;
\ : dfalign ( -- ) here dup dfaligned swap ?DO bl c, LOOP ;
\ [THEN]
: sfalign ( -- ) \ float-ext s-f-align
here dup sfaligned swap ?DO bl c, LOOP ;
: dfalign ( -- ) \ float-ext d-f-align
here dup dfaligned swap ?DO bl c, LOOP ;
1 sfloats constant sfloat+ ( sf-addr1 -- sf-addr2 ) \ float-ext s-float-plus
dofield: lastxt code-address! \ change the constant into a field
1 dfloats constant dfloat+ ( df-addr1 -- df-addr2 ) \ float-ext d-float-plus
dofield: lastxt code-address! \ change the constant into a field
: f, ( f -- ) here 1 floats allot f! ;
: fconstant ( r "name" -- ) \ float
Create f,
DOES> ( -- r )
f@ ;
: fdepth ( -- +n ) \ floating f-depth
\G +n is the current number of (floating-point) values on the
\G floating-point stack.
fp0 @ fp@ - [ 1 floats ] Literal / ;
: FLit ( -- r ) r> dup f@ float+ >r ;
: FLiteral ( compilation r -- ; run-time -- r ) \ float
\G Compile appropriate code such that, at run-time, r is placed
\G on the (floating-point) stack. Interpretation semantics are undefined.
BEGIN here cell+ dup faligned <> WHILE postpone noop REPEAT
postpone FLit f, ; immediate
&15 Value precision ( -- u ) \ floating-ext
\G u is the number of significant digits currently used by
\G @code{F.} @code{FE.} and @code{FS.}
: set-precision ( u -- ) \ floating-ext
\G Set the number of significant digits currently used by
\G @code{F.} @code{FE.} and @code{FS.} to u.
to precision ;
: scratch ( r -- addr len )
pad precision - precision ;
: zeros ( n -- ) 0 max 0 ?DO '0 emit LOOP ;
: -zeros ( addr u -- addr' u' )
BEGIN dup WHILE 1- 2dup + c@ '0 <> UNTIL 1+ THEN ;
: f$ ( f -- n ) scratch represent 0=
IF 2drop scratch 3 min type rdrop EXIT THEN
IF '- emit THEN ;
: f. ( r -- ) \ floating-ext f-dot
\G Display (the floating-point number) r using fixed-point notation,
\G followed by a space.
f$ dup >r 0<
IF '0 emit
ELSE scratch r@ min type r@ precision - zeros THEN
'. emit r@ negate zeros
scratch r> 0 max /string 0 max -zeros type space ;
\ I'm afraid this does not really implement ansi semantics wrt precision.
\ Shouldn't precision indicate the number of places shown after the point?
: fe. ( r -- ) \ floating-ext f-e-dot
\G Display r using engineering notation, followed by a space.
f$ 1- s>d 3 fm/mod 3 * >r 1+ >r
scratch r@ min type '. emit scratch r> /string type
'E emit r> . ;
: fs. ( r -- ) \ floating-ext f-s-dot
\G Display r using scientific notation, followed by a space.
f$ 1-
scratch over c@ emit '. emit 1 /string type
'E emit . ;
require debugs.fs
: sfnumber ( c-addr u -- r true | false )
2dup [CHAR] e scan ( c-addr u c-addr2 u2 )
dup 0=
IF
2drop 2dup [CHAR] E scan ( c-addr u c-addr3 u3 )
THEN
nip
IF
>float
ELSE
2drop false
THEN ;
:noname ( c-addr u -- )
2dup sfnumber
IF
2drop POSTPONE FLiteral
ELSE
defers compiler-notfound
ENDIF ;
IS compiler-notfound
:noname ( c-addr u -- r )
2dup sfnumber
IF
2drop
ELSE
defers interpreter-notfound
ENDIF ;
IS interpreter-notfound
: fvariable ( "name" -- ) \ float
Create 0.0E0 f, ;
\ does> ( -- f-addr )
1.0e0 fasin 2.0e0 f* fconstant pi ( -- r ) \ gforth
\G FCONSTANT: r is the value pi; the ratio of a circle's area
\G to its diameter.
: f2* ( r1 -- r2 ) \ gforth
\G Multiply r1 by 2.0e0
2.0e0 f* ;
: f2/ ( r1 -- r2 ) \ gforth
\G Multiply r1 by 0.5e0
0.5e0 f* ;
: 1/f ( r1 -- r2 ) \ gforth
\G Divide 1.0e0 by r1
1.0e0 fswap f/ ;
\ We now have primitives for these, so we need not define them
\ : falog ( f -- 10^f ) [ 10.0e0 fln ] FLiteral f* fexp ;
\ : fsinh fexpm1 fdup fdup 1.0e0 f+ f/ f+ f2/ ;
\ : fcosh fexp fdup 1/f f+ f2/ ;
\ : ftanh f2* fexpm1 fdup 2.0e0 f+ f/ ;
\ : fatanh fdup f0< >r fabs 1.0e0 fover f- f/ f2* flnp1 f2/
\ r> IF fnegate THEN ;
\ : facosh fdup fdup f* 1.0e0 f- fsqrt f+ fln ;
\ : fasinh fdup fdup f* 1.0e0 f+ fsqrt f/ fatanh ;
\ !! factor out parts
: f~ ( f1 f2 f3 -- flag ) \ float-ext
fdup f0=
IF
fdrop f= EXIT
THEN
fdup f0>
IF
frot frot f- fabs fswap
ELSE
fnegate frot frot fover fabs fover fabs f+ frot frot
f- fabs frot frot f*
THEN
f< ;
: f.s ( -- ) \ gforth f-dot-s
\G Display the number of items on the floating-point stack,
\G followed by a list of the items; TOS is the right-most item.
." <" fdepth 0 .r ." > " fdepth 0 max maxdepth-.s @ min dup 0
?DO dup i - 1- floats fp@ + f@ f. LOOP drop ;
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