version 1.6, 1994/07/21 10:52:40
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version 1.17, 1995/10/16 18:33:08
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\ High level floating point 14jan94py |
\ High level floating point 14jan94py |
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1 cells 4 = [IF] |
\ 1 cells 4 = [IF] |
' cells Alias sfloats |
\ ' cells Alias sfloats |
' cell+ Alias sfloat+ |
\ ' cell+ Alias sfloat+ |
' align Alias sfalign |
\ ' align Alias sfalign |
' aligned Alias sfaligned |
\ ' aligned Alias sfaligned |
[ELSE] |
\ [ELSE] |
: sfloats 4 * ; |
\ : sfloats 2* 2* ; |
: sfloat+ 4 + ; |
\ : sfloat+ 4 + ; |
: sfaligned ( addr -- addr' ) 3 + -4 and ; |
\ : sfaligned ( addr -- addr' ) 3 + -4 and ; |
: sfalign ( -- ) here dup sfaligned swap ?DO bl c, LOOP ; |
\ : sfalign ( -- ) here dup sfaligned swap ?DO bl c, LOOP ; |
[THEN] |
\ [THEN] |
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1 floats 8 = [IF] |
\ 1 floats 8 = [IF] |
' floats Alias dfloats |
\ ' floats Alias dfloats |
' float+ Alias dfloat+ |
\ ' float+ Alias dfloat+ |
' falign Alias dfalign |
\ ' falign Alias dfalign |
' faligned Alias dfaligned |
\ ' faligned Alias dfaligned |
[ELSE] |
\ [ELSE] |
: dfloats 8 * ; |
\ : dfloats 2* 2* 2* ; |
: dfloat+ 8 + ; |
\ : dfloat+ 8 + ; |
: dfaligned ( addr -- addr' ) 7 + -8 and ; |
\ : dfaligned ( addr -- addr' ) 7 + -8 and ; |
: dfalign ( -- ) here dup dfaligned swap ?DO bl c, LOOP ; |
\ : dfalign ( -- ) here dup dfaligned swap ?DO bl c, LOOP ; |
[THEN] |
\ [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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: f, ( f -- ) here 1 floats allot f! ; |
1 sfloats constant sfloat+ ( sf-addr1 -- sf-addr2 ) \ float-ext s-float-plus |
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dofield: lastxt code-address! \ change the constant into a field |
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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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\ !! have create produce faligned pfas |
: f, ( f -- ) here 1 floats allot f! ; |
: fconstant ( r -- ) |
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falign here f, Create A, |
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DOES> @ f@ ; |
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: fvariable |
: fconstant ( r -- ) \ float |
falign here 0. d>f f, AConstant ; |
Create f, |
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DOES> ( -- r ) |
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f@ ; |
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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> dup f@ float+ >r ; |
: FLiteral ( r -- ) postpone FLit falign f, ; immediate |
: FLiteral ( r -- ) |
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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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&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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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 debugging.fs |
?dup IF dup count >float 0= |
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IF defers notfound |
: sfnumber ( c-addr u -- r / ) |
ELSE drop state @ |
2dup [CHAR] e scan |
IF postpone FLiteral THEN THEN THEN ; |
dup 0= |
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IF |
' fnumber IS notfound |
2drop 2dup [CHAR] E scan |
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THEN |
1e0 fasin 2e0 f* fconstant pi |
nip |
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IF |
: f2* 2e0 f* ; |
2dup >float |
: f2/ 2e0 f/ ; |
IF |
: 1/f 1e0 fswap f/ ; |
2drop state @ |
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IF |
: falog ( f -- 10^f ) [ 10e0 fln ] FLiteral f* fexp ; |
POSTPONE FLiteral |
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THEN |
: fsinh fexpm1 fdup fdup 1e0 f+ f/ f+ f2/ ; |
EXIT |
: fcosh fexp fdup 1/f f+ f2/ ; |
THEN |
: ftanh f2* fexpm1 fdup 2e0 f+ f/ ; |
THEN |
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defers notfound ; |
: fatanh fdup f0< >r fabs 1e0 fover f- f/ f2* flnp1 f2/ |
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r> IF fnegate THEN ; |
' sfnumber IS notfound |
: facosh fdup fdup f* 1e0 f- fsqrt f+ fln ; |
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: fasinh fdup fdup f* 1e0 f+ fsqrt f/ fatanh ; |
: fvariable ( -- ) |
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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 |
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: f2* 2.0e0 f* ; |
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: f2/ 0.5e0 f* ; |
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: 1/f 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 ." <" 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 ; |