version 1.4, 1994/06/01 10:02:22
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version 1.24, 1999/02/03 00:10:20
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\ High level floating point 14jan94py |
\ High level floating point 14jan94py |
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: faligned ( addr -- f-addr ) |
\ Copyright (C) 1995,1997 Free Software Foundation, Inc. |
[ 1 floats 1- ] Literal + [ -1 floats ] Literal and ; |
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: falign ( -- ) |
\ This file is part of Gforth. |
here dup faligned swap |
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?DO bl c, LOOP ; |
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: f, ( f -- ) here 1 floats allot f! ; |
\ Gforth is free software; you can redistribute it and/or |
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\ modify it under the terms of the GNU General Public License |
\ !! have create produce faligned pfas |
\ as published by the Free Software Foundation; either version 2 |
: fconstant ( r -- ) |
\ of the License, or (at your option) any later version. |
falign here f, Create A, |
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DOES> @ f@ ; |
\ This program is distributed in the hope that it will be useful, |
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\ but WITHOUT ANY WARRANTY; without even the implied warranty of |
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\ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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\ GNU General Public License for more details. |
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\ You should have received a copy of the GNU General Public License |
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\ along with this program; if not, write to the Free Software |
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\ Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. |
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\ 1 cells 4 = [IF] |
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\ ' cells Alias sfloats |
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\ ' cell+ Alias sfloat+ |
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\ ' align Alias sfalign |
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\ ' aligned Alias sfaligned |
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\ [ELSE] |
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\ : sfloats 2* 2* ; |
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\ : sfloat+ 4 + ; |
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\ : sfaligned ( addr -- addr' ) 3 + -4 and ; |
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\ : sfalign ( -- ) here dup sfaligned swap ?DO bl c, LOOP ; |
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\ [THEN] |
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\ 1 floats 8 = [IF] |
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\ ' floats Alias dfloats |
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\ ' float+ Alias dfloat+ |
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\ ' falign Alias dfalign |
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\ ' faligned Alias dfaligned |
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\ [ELSE] |
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\ : dfloats 2* 2* 2* ; |
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\ : dfloat+ 8 + ; |
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\ : dfaligned ( addr -- addr' ) 7 + -8 and ; |
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\ : dfalign ( -- ) here dup dfaligned swap ?DO bl c, LOOP ; |
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\ [THEN] |
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: sfalign ( -- ) \ float-ext s-f-align |
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here dup sfaligned swap ?DO bl c, LOOP ; |
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: dfalign ( -- ) \ float-ext d-f-align |
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here dup dfaligned swap ?DO bl c, LOOP ; |
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: fvariable |
1 sfloats constant sfloat+ ( sf-addr1 -- sf-addr2 ) \ float-ext s-float-plus |
falign here 0. d>f f, AConstant ; |
dofield: lastxt code-address! \ change the constant into a field |
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: fdepth ( -- n ) f0 @ fp@ - [ 1 floats ] Literal / ; |
1 dfloats constant dfloat+ ( df-addr1 -- df-addr2 ) \ float-ext d-float-plus |
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dofield: lastxt code-address! \ change the constant into a field |
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: FLit ( -- r ) r> faligned dup f@ float+ >r ; |
: f, ( f -- ) here 1 floats allot f! ; |
: FLiteral ( r -- ) postpone FLit falign f, ; immediate |
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&16 Value precision |
: fconstant ( r "name" -- ) \ float |
: set-precision to precision ; |
Create f, |
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DOES> ( -- r ) |
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f@ ; |
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: fdepth ( -- +n ) \ floating f-depth |
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\G +n is the current number of (floating-point) values on the |
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\G floating-point stack. |
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fp0 @ fp@ - [ 1 floats ] Literal / ; |
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: FLit ( -- r ) r> dup f@ float+ >r ; |
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: FLiteral ( compilation r -- ; run-time -- r ) \ float |
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\G Compile appropriate code such that, at run-time, r is placed |
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\G on the (floating-point) stack. Interpretation semantics are undefined. |
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BEGIN here cell+ dup faligned <> WHILE postpone noop REPEAT |
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postpone FLit f, ; immediate |
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&15 Value precision ( -- u ) \ floating-ext |
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\G u is the number of significant digits currently used by |
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\G @code{F.} @code{FE.} and @code{FS.} |
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: set-precision ( u -- ) \ floating-ext |
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\G Set the number of significant digits currently used by |
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\G @code{F.} @code{FE.} and @code{FS.} to u. |
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to precision ; |
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: scratch ( r -- addr len ) |
: scratch ( r -- addr len ) |
pad precision - precision ; |
pad precision - precision ; |
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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 -- ) f$ dup >r 0< |
: f. ( r -- ) \ floating-ext f-dot |
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\G Display (the floating-point number) r using fixed-point notation, |
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\G followed by a space. |
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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 |
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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 -- ) f$ 1- s>d 3 fm/mod 3 * >r 1+ >r |
: fe. ( r -- ) \ floating-ext f-e-dot |
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\G Display r using engineering notation, followed by a space. |
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f$ 1- s>d 3 fm/mod 3 * >r 1+ >r |
scratch r@ min type '. emit scratch r> /string type |
scratch r@ min type '. emit scratch r> /string type |
'E emit r> . ; |
'E emit r> . ; |
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: fs. ( r -- ) f$ 1- |
: fs. ( r -- ) \ floating-ext f-s-dot |
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\G Display r using scientific notation, followed by a space. |
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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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: fnumber ( string -- r / ) |
require debugs.fs |
?dup IF dup count >float 0= |
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IF defers notfound |
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ELSE drop state @ |
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IF postpone FLiteral THEN THEN THEN ; |
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' fnumber IS notfound |
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1e0 fasin 2e0 f* fconstant pi |
: sfnumber ( c-addr u -- r true | false ) |
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2dup [CHAR] e scan ( c-addr u c-addr2 u2 ) |
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dup 0= |
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IF |
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2drop 2dup [CHAR] E scan ( c-addr u c-addr3 u3 ) |
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THEN |
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nip |
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IF |
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>float |
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ELSE |
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2drop false |
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THEN ; |
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:noname ( c-addr u -- ) |
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2dup sfnumber |
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IF |
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2drop POSTPONE FLiteral |
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ELSE |
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defers compiler-notfound |
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ENDIF ; |
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IS compiler-notfound |
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:noname ( c-addr u -- r ) |
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2dup sfnumber |
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IF |
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2drop |
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ELSE |
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defers interpreter-notfound |
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ENDIF ; |
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IS interpreter-notfound |
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: fvariable ( "name" -- ) \ float |
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Create 0.0E0 f, ; |
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\ does> ( -- f-addr ) |
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1.0e0 fasin 2.0e0 f* fconstant pi ( -- r ) \ gforth |
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\G FCONSTANT: r is the value pi; the ratio of a circle's area |
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\G to its diameter. |
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: f2* ( r1 -- r2 ) \ gforth |
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\G Multiply r1 by 2.0e0 |
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2.0e0 f* ; |
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: f2/ ( r1 -- r2 ) \ gforth |
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\G Multiply r1 by 0.5e0 |
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0.5e0 f* ; |
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: 1/f ( r1 -- r2 ) \ gforth |
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\G Divide 1.0e0 by r1 |
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1.0e0 fswap f/ ; |
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\ We now have primitives for these, so we need not define them |
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\ : falog ( f -- 10^f ) [ 10.0e0 fln ] FLiteral f* fexp ; |
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\ : fsinh fexpm1 fdup fdup 1.0e0 f+ f/ f+ f2/ ; |
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\ : fcosh fexp fdup 1/f f+ f2/ ; |
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\ : ftanh f2* fexpm1 fdup 2.0e0 f+ f/ ; |
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\ : fatanh fdup f0< >r fabs 1.0e0 fover f- f/ f2* flnp1 f2/ |
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\ r> IF fnegate THEN ; |
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\ : facosh fdup fdup f* 1.0e0 f- fsqrt f+ fln ; |
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\ : fasinh fdup fdup f* 1.0e0 f+ fsqrt f/ fatanh ; |
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\ !! factor out parts |
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: f~ ( f1 f2 f3 -- flag ) \ float-ext |
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fdup f0= |
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IF |
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fdrop f= EXIT |
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THEN |
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fdup f0> |
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IF |
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frot frot f- fabs fswap |
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ELSE |
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fnegate frot frot fover fabs fover fabs f+ frot frot |
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f- fabs frot frot f* |
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THEN |
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f< ; |
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: f.s ( -- ) \ gforth f-dot-s |
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\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. |
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." <" fdepth 0 .r ." > " fdepth 0 max maxdepth-.s @ min dup 0 |
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?DO dup i - 1- floats fp@ + f@ f. LOOP drop ; |