version 1.25, 1999/03/23 20:24:18
|
version 1.36, 2002/01/17 12:02:55
|
Line 16
|
Line 16
|
|
|
\ 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, write to the Free Software |
\ Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. |
\ Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111, USA. |
|
|
\ 1 cells 4 = [IF] |
\ 1 cells 4 = [IF] |
\ ' cells Alias sfloats |
\ ' cells Alias sfloats |
Line 43
|
Line 43
|
\ [THEN] |
\ [THEN] |
|
|
: sfalign ( -- ) \ float-ext s-f-align |
: sfalign ( -- ) \ float-ext s-f-align |
|
\G If the data-space pointer is not single-float-aligned, reserve |
|
\G enough space to align it. |
here dup sfaligned swap ?DO bl c, LOOP ; |
here dup sfaligned swap ?DO bl c, LOOP ; |
: dfalign ( -- ) \ float-ext d-f-align |
: dfalign ( -- ) \ float-ext d-f-align |
|
\G If the data-space pointer is not double-float-aligned, reserve |
|
\G enough space to align it. |
here dup dfaligned swap ?DO bl c, LOOP ; |
here dup dfaligned swap ?DO bl c, LOOP ; |
|
|
1 sfloats constant sfloat+ ( sf-addr1 -- sf-addr2 ) \ float-ext s-float-plus |
1 sfloats (Field) sfloat+ , ( sf-addr1 -- sf-addr2 ) \ float-ext s-float-plus |
dofield: lastxt code-address! \ change the constant into a field |
\G @code{1 sfloats +}. |
|
|
1 dfloats constant dfloat+ ( df-addr1 -- df-addr2 ) \ float-ext d-float-plus |
1 dfloats (Field) dfloat+ , ( df-addr1 -- df-addr2 ) \ float-ext d-float-plus |
dofield: lastxt code-address! \ change the constant into a field |
\G @code{1 dfloats +}. |
|
|
: f, ( f -- ) here 1 floats allot f! ; |
: f, ( f -- ) \ gforth |
|
\G Reserve data space for one floating-point number and store |
|
\G @i{f} in the space. |
|
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 ; |
: FLit ( -- r ) r> dup f@ float+ >r ; |
: FLiteral ( compilation r -- ; run-time -- r ) \ float |
: FLiteral ( compilation r -- ; run-time -- r ) \ float f-literal |
\G Compile appropriate code such that, at run-time, @var{r} is placed |
\G Compile appropriate code such that, at run-time, @i{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+ dup faligned <> WHILE postpone noop REPEAT |
postpone FLit f, ; immediate |
postpone FLit 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 92 DOES> ( -- r )
|
Line 99 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 103 DOES> ( -- r )
|
Line 110 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 . ; |
Line 148 IS compiler-notfound
|
Line 160 IS compiler-notfound
|
ENDIF ; |
ENDIF ; |
IS interpreter-notfound |
IS interpreter-notfound |
|
|
: 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 182 IS interpreter-notfound
|
Line 197 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+ -text 0= |
|
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< ; |
|
|
|
: f.s ( -- ) \ gforth f-dot-s |
: f.s ( -- ) \ gforth f-dot-s |
\G Display the number of items on the floating-point stack, |
\G Display the number of items on the floating-point stack, |