version 1.1, 1994/02/11 16:30:46
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version 1.13, 1995/02/06 18:14:33
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\ High level floating point 14jan94py |
\ High level floating point 14jan94py |
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: faligned ( addr -- f-addr ) |
1 cells 4 = [IF] |
[ 1 floats 1- ] Literal + [ -1 floats ] Literal and ; |
' cells Alias sfloats |
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' cell+ Alias sfloat+ |
: falign ( -- ) here dup aligned swap |
' align Alias sfalign |
?DO bl c, LOOP ; |
' 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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: f, ( f -- ) here 1 floats allot f! ; |
: f, ( f -- ) here 1 floats allot f! ; |
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: fconstant ( r -- ) |
: fconstant ( r -- ) |
Create falign f, |
Create f, |
DOES> faligned f@ ; |
DOES> f@ ; |
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: fvariable |
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Create falign 0 f, |
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DOES> faligned ; |
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: fdepth ( -- n ) f0 @ fp@ - [ 1 floats ] Literal / ; |
: fdepth ( -- n ) f0 @ fp@ - [ 1 floats ] Literal / ; |
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: FLit ( -- r ) r> faligned dup f@ float+ >r ; |
: FLit ( -- r ) r> faligned dup f@ float+ >r ; |
: FLiteral ( r -- ) postpone FLit falign f, ; immediate |
: FLiteral ( r -- ) postpone FLit falign f, ; immediate |
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&16 Value precision |
&15 Value precision |
: set-precision to precision ; |
: set-precision to precision ; |
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: scratch ( r -- addr len ) |
: scratch ( r -- addr len ) |
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: -zeros ( addr u -- addr' u' ) |
: -zeros ( addr u -- addr' u' ) |
BEGIN dup WHILE 1- 2dup + c@ '0 <> UNTIL 1+ THEN ; |
BEGIN dup WHILE 1- 2dup + c@ '0 <> UNTIL 1+ THEN ; |
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: f. ( r -- ) scratch represent 0= |
: f$ ( f -- n ) scratch represent 0= |
IF 2drop scratch 3 min type EXIT THEN |
IF 2drop scratch 3 min type rdrop EXIT THEN |
IF '- emit THEN dup >r 0< |
IF '- emit THEN ; |
IF '0 emit |
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: f. ( r -- ) f$ dup >r 0< |
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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 |
scratch r> 0 max /string 0 max -zeros type space ; |
scratch r> 0 max /string 0 max -zeros type space ; |
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\ I'm afraid this does not really implement ansi semantics wrt precision. |
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\ Shouldn't precision indicate the number of places shown after the point? |
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: fe. ( r -- ) scratch represent 0= |
: fe. ( r -- ) f$ 1- s>d 3 fm/mod 3 * >r 1+ >r |
IF 2drop scratch 3 min type EXIT THEN |
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IF '- emit THEN 1- s>d 3 fm/mod 3 * >r 1+ >r |
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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 -- ) scratch represent 0= |
: fs. ( r -- ) f$ 1- |
IF 2drop scratch 3 min type EXIT THEN |
scratch over c@ emit '. emit 1 /string type |
IF '- emit THEN 1- >r |
'E emit . ; |
scratch 1 min type '. emit scratch 1 /string type |
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'E emit r> . ; |
: sfnumber ( c-addr u -- r / ) |
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2dup >float |
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IF |
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2drop state @ |
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IF |
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postpone FLiteral |
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THEN |
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ELSE |
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defers notfound |
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THEN ; |
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' sfnumber IS notfound |
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: fvariable ( -- ) |
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Create 0e0 f, ; |
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\ does> ( -- f-addr ) |
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: fnumber ( string -- r / ) dup count >float 0= |
1e0 fasin 2e0 f* fconstant pi |
IF defers notfound ELSE drop THEN ; |
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' fnumber IS notfound |
: f2* 2e0 f* ; |
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: f2/ .5e0 f* ; |
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: 1/f 1e0 fswap f/ ; |
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1e0 fasin 2e0 f* fconstant pi |
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\ We now have primitives for these, so we need not define them |
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\ : falog ( f -- 10^f ) [ 10e0 fln ] FLiteral f* fexp ; |
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\ : fsinh fexpm1 fdup fdup 1e0 f+ f/ f+ f2/ ; |
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\ : fcosh fexp fdup 1/f f+ f2/ ; |
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\ : ftanh f2* fexpm1 fdup 2e0 f+ f/ ; |
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\ : fatanh fdup f0< >r fabs 1e0 fover f- f/ f2* flnp1 f2/ |
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\ r> IF fnegate THEN ; |
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\ : facosh fdup fdup f* 1e0 f- fsqrt f+ fln ; |
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\ : fasinh fdup fdup f* 1e0 f+ fsqrt f/ fatanh ; |
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: f~ ( f1 f2 f3 -- flag ) fdup f0= IF fdrop f= EXIT THEN |
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fdup f0> IF frot frot f- fabs fswap |
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ELSE fnegate frot frot fover fabs fover fabs f+ frot frot |
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f- fabs frot frot f* THEN f< ; |
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: f.s ." <" 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 ; |