version 1.27, 1999/05/15 20:00:20
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version 1.61, 2011/10/07 17:10:15
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\ High level floating point 14jan94py |
\ High level floating point 14jan94py |
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\ Copyright (C) 1995,1997 Free Software Foundation, Inc. |
\ Copyright (C) 1995,1997,2003,2004,2005,2006,2007,2009,2010 Free Software Foundation, Inc. |
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\ This file is part of Gforth. |
\ This file is part of Gforth. |
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\ 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 |
\ as published by the Free Software Foundation; either version 2 |
\ as published by the Free Software Foundation, either version 3 |
\ of the License, or (at your option) any later version. |
\ of the License, or (at your option) any later version. |
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\ This program is distributed in the hope that it will be useful, |
\ This program is distributed in the hope that it will be useful, |
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\ GNU General Public License for more details. |
\ GNU General Public License for more details. |
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\ 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. |
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\ 1 cells 4 = [IF] |
\ 1 cells 4 = [IF] |
\ ' cells Alias sfloats |
\ ' cells Alias sfloats |
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\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 ; |
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1 sfloats constant sfloat+ ( sf-addr1 -- sf-addr2 ) \ float-ext s-float-plus |
(Field) sfloat+ ( sf-addr1 -- sf-addr2 ) \ float-ext s-float-plus |
\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 |
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(Field) dfloat+ ( df-addr1 -- df-addr2 ) \ float-ext d-float-plus |
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}."" |
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dofield: lastxt code-address! \ change the constant into a field |
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: 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! ; |
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: fconstant ( r "name" -- ) \ float |
: fconstant ( r "name" -- ) \ float f-constant |
Create f, |
Create f, |
DOES> ( -- r ) |
DOES> ( -- r ) |
f@ ; |
f@ ; |
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: 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 / ; |
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: 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 |
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\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 |
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r> postpone literal postpone f@ ; immediate |
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&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 ; |
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: scratch ( r -- addr len ) |
: scratch ( r -- addr len ) |
Line 103 DOES> ( -- r )
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Line 100 DOES> ( -- r )
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IF 2drop scratch 3 min type rdrop EXIT THEN |
IF 2drop scratch 3 min type rdrop EXIT THEN |
IF '- emit THEN ; |
IF '- emit THEN ; |
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: 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 )
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Line 111 DOES> ( -- r )
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\ 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? |
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: 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. |
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: fe. ( r -- ) \ float-ext f-e-dot |
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\G Display @i{r} using engineering notation (with exponent dividable |
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\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 |
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'. emit scratch r> /string type |
'E emit r> . ; |
'E emit r> . ; |
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: 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 |
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\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 . ; |
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require debugs.fs |
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: sfnumber ( c-addr u -- r true | false ) |
: sfnumber ( c-addr u -- r true | false ) |
2dup [CHAR] e scan ( c-addr u c-addr2 u2 ) |
2dup [CHAR] e scan ( c-addr u c-addr2 u2 ) |
dup 0= |
dup 0= |
Line 141 require debugs.fs
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Line 141 require debugs.fs
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2drop false |
2drop false |
THEN ; |
THEN ; |
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:noname ( c-addr u -- ) |
[ifdef] recognizer: |
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' noop |
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:noname postpone Fliteral ; |
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dup |
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recognizer: r:fnumber |
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: fnum-recognizer ( addr u -- float int-table | addr u r:fail ) |
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2dup sfnumber |
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IF |
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2drop r:fnumber EXIT |
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THEN |
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r:fail ; |
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' fnum-recognizer |
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forth-recognizer get-recognizers |
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1+ forth-recognizer set-recognizers |
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[else] |
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[ifundef] compiler-notfound1 |
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defer compiler-notfound1 |
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' no.extensions IS compiler-notfound1 |
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:noname compiler-notfound1 execute ; is compiler-notfound |
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defer interpreter-notfound1 |
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' no.extensions IS interpreter-notfound1 |
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:noname interpreter-notfound1 execute ; is interpreter-notfound |
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[then] |
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: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 |
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: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 |
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[then] |
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: fvariable ( "name" -- ) \ float |
: fvariable ( "name" -- ) \ float f-variable |
Create 0.0E0 f, ; |
Create 0.0E0 f, ; |
\ does> ( -- f-addr ) |
\ does> ( -- f-addr ) |
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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. |
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: 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* ; |
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: 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* ; |
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: 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/ ; |
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get-current environment-wordlist set-current |
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1.7976931348623157e308 FConstant max-float |
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set-current |
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\ We now have primitives for these, so we need not define them |
\ We now have primitives for these, so we need not define them |
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Line 202 IS interpreter-notfound
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Line 235 IS interpreter-notfound
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frot frot fover fabs fover fabs f+ frot frot |
frot frot fover fabs fover fabs f+ frot frot |
f- fabs frot frot f* f< ; |
f- fabs frot frot f* f< ; |
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: f~ ( r1 r2 r3 -- flag ) \ float-ext |
: f~ ( r1 r2 r3 -- flag ) \ float-ext f-proximate |
\G ANS Forth medley: r3>0: @code{f~abs}; r3=0: r1=r2; r3<0: @code{fnegate f~abs}. |
\G ANS Forth medley for comparing r1 and r2 for equality: r3>0: |
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\G @code{f~abs}; r3=0: bitwise comparison; r3<0: @code{fnegate f~rel}. |
fdup f0= |
fdup f0= |
IF |
IF \ bitwise comparison |
fdrop f= \ !! this does not work, because 0=-0 with f= on Linux-Intel |
fp@ float+ 1 floats over float+ over str= |
\ the standard says they should compare unequal |
fdrop fdrop fdrop |
\ the comparison should be done with COMPARE |
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EXIT |
EXIT |
THEN |
THEN |
fdup f0> |
fdup f0> |
Line 218 IS interpreter-notfound
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Line 251 IS interpreter-notfound
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fnegate f~rel |
fnegate f~rel |
THEN ; |
THEN ; |
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: f.s ( -- ) \ gforth f-dot-s |
-0e 8 0 [do] fp@ [i] + c@ $80 = [if] [i] constant fsign-offset [then] [loop] |
\G Display the number of items on the floating-point stack, |
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\G followed by a list of the items; TOS is the right-most item. |
: fcopysign ( r1 r2 -- r3 ) \ gforth |
." <" fdepth 0 .r ." > " fdepth 0 max maxdepth-.s @ min dup 0 |
\G r3 takes its absolute value from r1 and its sign from r2 |
?DO dup i - 1- floats fp@ + f@ f. LOOP drop ; |
\ !! implementation relies on IEEE DP format |
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fp@ fsign-offset + dup c@ $80 and >r ( r1 r2 addr-r1sign ) |
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float+ dup c@ $7f and r> or swap c! |
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fdrop ; |
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\ proposals from Krishna Myeni in <cjsp2d$47l$1@ngspool-d02.news.aol.com> |
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\ not sure if they are a good idea |
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: ftrunc ( r1 -- r2 ) \ X:ftrunc |
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\ round towards 0 |
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fdup fabs floor fswap fcopysign ; |
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: FMOD ( r1 r2 -- r ) |
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\ remainder of r1/r2 |
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FOVER FOVER F/ ftrunc F* F- ; |
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