### Diff for /gforth/float.fs between versions 1.26 and 1.53

version 1.26, 1999/05/06 21:33:32 version 1.53, 2007/12/31 18:40:24
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\ High level floating point                            14jan94py  \ High level floating point                            14jan94py

\ Copyright (C) 1995,1997 Free Software Foundation, Inc.  \ Copyright (C) 1995,1997,2003,2004,2005,2006,2007 Free Software Foundation, Inc.

\ This file is part of Gforth.  \ This file is part of Gforth.

\ Gforth is free software; you can redistribute it and/or  \ Gforth is free software; you can redistribute it and/or
\ modify it under the terms of the GNU General Public License  \ modify it under the terms of the GNU General Public License

\ This program is distributed in the hope that it will be useful,  \ This program is distributed in the hope that it will be useful,
Line 15 Line 15
\ GNU General Public License for more details.  \ GNU General Public License for more details.

\ You should have received a copy of the GNU General Public License  \ You should have received a copy of the GNU General Public License
\ along with this program; if not, write to the Free Software  \ along with this program. If not, see http://www.gnu.org/licenses/.
\ Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.

\ 1 cells 4 = [IF]  \ 1 cells 4 = [IF]
\ ' cells   Alias sfloats  \ ' cells   Alias sfloats
Line 51 Line 50
\G enough space to align it.      \G enough space to align it.
here dup dfaligned swap ?DO  bl c,  LOOP ;      here dup dfaligned swap ?DO  bl c,  LOOP ;

\G Increment @i{sf-addr1} by the number of address units corresponding to the size of  \G @code{1 sfloats +}.
\G a single-precision IEEE floating-point number, to give @i{sf-addr2}.""      1 sfloats ,
dofield: lastxt code-address! \ change the constant into a field
1 dfloats constant dfloat+ ( df-addr1 -- df-addr2 ) \ float-ext d-float-plus  \G @code{1 dfloats +}.
\G Increment @i{df-addr1} by the number of address units corresponding to the size of      1 dfloats ,
\G a double-precision IEEE floating-point number, to give @i{df-addr2}.""
dofield: lastxt code-address! \ change the constant into a field

: f, ( f -- ) \ gforth  : f, ( f -- ) \ gforth
\G Reserve data space for one floating-point number and store      \G Reserve data space for one floating-point number and store
\G @i{f} in the space.      \G @i{f} in the space.
here 1 floats allot f! ;      here 1 floats allot f! ;

: fconstant  ( r "name" -- ) \ float  : fconstant  ( r "name" -- ) \ float f-constant
Create f,      Create f,
DOES> ( -- r )  DOES> ( -- r )
f@ ;      f@ ;

: fdepth ( -- +n ) \ floating f-depth  : fdepth ( -- +n ) \ float f-depth
\G @var{+n} is the current number of (floating-point) values on the      \G @i{+n} is the current number of (floating-point) values on the
\G floating-point stack.      \G floating-point stack.
fp0 @ fp@ - [ 1 floats ] Literal / ;      fp0 @ fp@ - [ 1 floats ] Literal / ;

: FLit ( -- r )  r> dup f@ float+ >r ;  : FLiteral ( compilation r -- ; run-time -- r ) \ float f-literal
: FLiteral ( compilation r -- ; run-time -- r ) \ float      \G Compile appropriate code such that, at run-time, @i{r} is placed
\G Compile appropriate code such that, at run-time, @var{r} is placed
\G on the (floating-point) stack. Interpretation semantics are undefined.      \G on the (floating-point) stack. Interpretation semantics are undefined.
BEGIN  here cell+ dup faligned <>  WHILE  postpone noop  REPEAT      BEGIN  here cell+ cell+ dup faligned <>  WHILE  postpone noop  REPEAT
postpone FLit  f, ;  immediate      postpone ahead here >r f, postpone then
r> postpone literal postpone f@ ;  immediate

&15 Value precision ( -- u ) \ floating-ext  &15 Value precision ( -- u ) \ float-ext
\G @var{u} is the number of significant digits currently used by  \G @i{u} is the number of significant digits currently used by
\G @code{F.} @code{FE.} and @code{FS.}   \G @code{F.} @code{FE.} and @code{FS.}
: set-precision ( u -- ) \ floating-ext  : set-precision ( u -- ) \ float-ext
\G Set the number of significant digits currently used by      \G Set the number of significant digits currently used by
\G @code{F.} @code{FE.} and @code{FS.} to @var{u}.      \G @code{F.} @code{FE.} and @code{FS.} to @i{u}.
to precision ;      to precision ;

: scratch ( r -- addr len )  : scratch ( r -- addr len )
Line 103  DOES> ( -- r ) Line 100  DOES> ( -- r )
IF  2drop  scratch 3 min type  rdrop  EXIT  THEN    IF  2drop  scratch 3 min type  rdrop  EXIT  THEN
IF  '- emit  THEN ;    IF  '- emit  THEN ;

: f.  ( r -- ) \ floating-ext f-dot  : f.  ( r -- ) \ float-ext f-dot
\G Display (the floating-point number) @var{r} using fixed-point notation,  \G Display (the floating-point number) @i{r} without exponent,
\G followed by a space.  \G followed by a space.
f\$ dup >r 0<    f\$ dup >r 0<=
IF    '0 emit    IF    '0 emit
ELSE  scratch r@ min type  r@ precision - zeros  THEN    ELSE  scratch r@ min type  r@ precision - zeros  THEN
'. emit r@ negate zeros    '. emit r@ negate zeros
Line 114  DOES> ( -- r ) Line 111  DOES> ( -- r )
\ I'm afraid this does not really implement ansi semantics wrt precision.  \ I'm afraid this does not really implement ansi semantics wrt precision.
\ Shouldn't precision indicate the number of places shown after the point?  \ Shouldn't precision indicate the number of places shown after the point?

: fe. ( r -- ) \ floating-ext f-e-dot  \ Why do you think so? ANS Forth appears ambiguous on this point. -anton.
\G Display @var{r} using engineering notation, followed by a space.
: fe. ( r -- ) \ float-ext f-e-dot
\G Display @i{r} using engineering notation (with exponent dividable
\G by 3), followed by a space.
f\$ 1- s>d 3 fm/mod 3 * >r 1+ >r    f\$ 1- s>d 3 fm/mod 3 * >r 1+ >r
scratch r@ min type '. emit  scratch r> /string type    scratch r@ tuck min tuck - >r type r> zeros
'. emit scratch r> /string type
'E emit r> . ;    'E emit r> . ;

: fs. ( r -- ) \ floating-ext f-s-dot  : fs. ( r -- ) \ float-ext f-s-dot
\G Display @var{r} using scientific notation, followed by a space.  \G Display @i{r} using scientific notation (with exponent), followed
\G by a space.
f\$ 1-    f\$ 1-
scratch over c@ emit '. emit 1 /string type    scratch over c@ emit '. emit 1 /string type
'E emit . ;    'E emit . ;

require debugs.fs

: sfnumber ( c-addr u -- r true | false )  : sfnumber ( c-addr u -- r true | false )
dup 0=      dup 0=
Line 141  require debugs.fs Line 141  require debugs.fs
2drop false          2drop false
THEN ;      THEN ;

:noname ( c-addr u -- )  [ifundef] compiler-notfound1
defer compiler-notfound1
' no.extensions IS compiler-notfound1

:noname compiler-notfound1 execute ; is compiler-notfound

defer interpreter-notfound1
' no.extensions IS interpreter-notfound1

:noname interpreter-notfound1 execute ; is interpreter-notfound
[then]

:noname ( c-addr u -- ... xt )
2dup sfnumber      2dup sfnumber
IF      IF
2drop POSTPONE FLiteral          2drop [comp'] FLiteral
ELSE      ELSE
defers compiler-notfound          defers compiler-notfound1
ENDIF ;      ENDIF ;
IS compiler-notfound  IS compiler-notfound1

:noname ( c-addr u -- r )  :noname ( c-addr u -- ... xt )
2dup sfnumber      2dup sfnumber
IF      IF
2drop          2drop ['] noop
ELSE      ELSE
defers interpreter-notfound          defers interpreter-notfound1
ENDIF ;      ENDIF ;
IS interpreter-notfound  IS interpreter-notfound1

: fvariable ( "name" -- ) \ float  : fvariable ( "name" -- ) \ float f-variable
Create 0.0E0 f, ;      Create 0.0E0 f, ;
\ does> ( -- f-addr )      \ does> ( -- f-addr )

1.0e0 fasin 2.0e0 f* fconstant pi ( -- r ) \ gforth  1.0e0 fasin 2.0e0 f* fconstant pi ( -- r ) \ gforth
\G FCONSTANT: @var{r} is the value pi; the ratio of a circle's area  \G @code{Fconstant} -- @i{r} is the value pi; the ratio of a circle's area
\G to its diameter.  \G to its diameter.

: f2* ( r1 -- r2 ) \ gforth  : f2* ( r1 -- r2 ) \ gforth
\G Multiply @var{r1} by 2.0e0      \G Multiply @i{r1} by 2.0e0
2.0e0 f* ;      2.0e0 f* ;

: f2/ ( r1 -- r2 ) \ gforth  : f2/ ( r1 -- r2 ) \ gforth
\G Multiply @var{r1} by 0.5e0      \G Multiply @i{r1} by 0.5e0
0.5e0 f* ;      0.5e0 f* ;

: 1/f ( r1 -- r2 ) \ gforth  : 1/f ( r1 -- r2 ) \ gforth
\G Divide 1.0e0 by @var{r1}.      \G Divide 1.0e0 by @i{r1}.
1.0e0 fswap f/ ;      1.0e0 fswap f/ ;

get-current environment-wordlist set-current
1.7976931348623157e308 FConstant max-float
set-current

\ We now have primitives for these, so we need not define them  \ We now have primitives for these, so we need not define them

Line 193  IS interpreter-notfound Line 208  IS interpreter-notfound
\ : facosh   fdup fdup f* 1.0e0 f- fsqrt f+ fln ;  \ : facosh   fdup fdup f* 1.0e0 f- fsqrt f+ fln ;
\ : fasinh   fdup fdup f* 1.0e0 f+ fsqrt f/ fatanh ;  \ : fasinh   fdup fdup f* 1.0e0 f+ fsqrt f/ fatanh ;

\ !! factor out parts  : f~abs ( r1 r2 r3 -- flag ) \ gforth
: f~ ( f1 f2 f3 -- flag ) \ float-ext      \G Approximate equality with absolute error: |r1-r2|<r3.
frot frot f- fabs fswap f< ;

: f~rel ( r1 r2 r3 -- flag ) \ gforth
\G Approximate equality with relative error: |r1-r2|<r3*|r1+r2|.
frot frot fover fabs fover fabs f+ frot frot
f- fabs frot frot f* f< ;

: f~ ( r1 r2 r3 -- flag ) \ float-ext f-proximate
\G ANS Forth medley for comparing r1 and r2 for equality: r3>0:
\G @code{f~abs}; r3=0: bitwise comparison; r3<0: @code{fnegate f~rel}.
fdup f0=      fdup f0=
IF      IF \ bitwise comparison
fdrop f= EXIT          fp@ float+ 1 floats over float+ over str=
fdrop fdrop fdrop
EXIT
THEN      THEN
fdup f0>      fdup f0>
IF      IF
frot frot f- fabs fswap          f~abs
ELSE      ELSE
fnegate frot frot fover fabs fover fabs f+ frot frot          fnegate f~rel
f- fabs frot frot f*      THEN ;
THEN
f< ;  \ proposals from Krishna Myeni in <cjsp2d\$47l\$1@ngspool-d02.news.aol.com>
\ not sure if they are a good idea

: f.s ( -- ) \ gforth f-dot-s  : FTRUNC ( r1 -- r2 )
\G Display the number of items on the floating-point stack,      \ round towards 0
\G followed by a list of the items; TOS is the right-most item.      \ !! should be implemented properly
." <" fdepth 0 .r ." > " fdepth 0 max maxdepth-.s @ min dup 0       F>D D>F ;
?DO  dup i - 1- floats fp@ + f@ f.  LOOP  drop ;
: FMOD ( r1 r2 -- r )
\ remainder of r1/r2
FOVER FOVER F/ ftrunc F* F- ;

 Removed from v.1.26 changed lines Added in v.1.53

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