\ High level floating point 14jan94py 1 cells 4 = [IF] ' cells Alias sfloats ' cell+ Alias sfloat+ ' align Alias sfalign ' aligned Alias sfaligned [ELSE] : sfloats 2* 2* ; : sfloat+ 4 + ; : sfaligned ( addr -- addr' ) 3 + -4 and ; : sfalign ( -- ) here dup sfaligned swap ?DO bl c, LOOP ; [THEN] 1 floats 8 = [IF] ' floats Alias dfloats ' float+ Alias dfloat+ ' falign Alias dfalign ' faligned Alias dfaligned [ELSE] : dfloats 2* 2* 2* ; : dfloat+ 8 + ; : dfaligned ( addr -- addr' ) 7 + -8 and ; : dfalign ( -- ) here dup dfaligned swap ?DO bl c, LOOP ; [THEN] : f, ( f -- ) here 1 floats allot f! ; \ !! have create produce faligned pfas : fconstant ( r -- ) falign here f, Create A, DOES> @ f@ ; : fvariable falign here 0. d>f f, AConstant ; : fdepth ( -- n ) f0 @ fp@ - [ 1 floats ] Literal / ; : FLit ( -- r ) r> faligned dup f@ float+ >r ; : FLiteral ( r -- ) postpone FLit falign f, ; immediate &16 Value precision : set-precision to precision ; : scratch ( r -- addr len ) pad precision - precision ; : zeros ( n -- ) 0 max 0 ?DO '0 emit LOOP ; : -zeros ( addr u -- addr' u' ) BEGIN dup WHILE 1- 2dup + c@ '0 <> UNTIL 1+ THEN ; : f\$ ( f -- n ) scratch represent 0= IF 2drop scratch 3 min type rdrop EXIT THEN IF '- emit THEN ; : f. ( r -- ) f\$ dup >r 0< IF '0 emit ELSE scratch r@ min type r@ precision - zeros THEN '. emit r@ negate zeros scratch r> 0 max /string 0 max -zeros type space ; \ I'm afraid this does not really implement ansi semantics wrt precision. \ Shouldn't precision indicate the number of places shown after the point? : fe. ( r -- ) f\$ 1- s>d 3 fm/mod 3 * >r 1+ >r scratch r@ min type '. emit scratch r> /string type 'E emit r> . ; : fs. ( r -- ) f\$ 1- scratch over c@ emit '. emit 1 /string type 'E emit . ; : sfnumber ( c-addr u -- r / ) 2dup >float IF 2drop state @ IF postpone FLiteral THEN ELSE defers notfound THEN ; ' sfnumber IS notfound 1e0 fasin 2e0 f* fconstant pi : f2* 2e0 f* ; : f2/ .5e0 f* ; : 1/f 1e0 fswap f/ ; \ We now have primitives for these, so we need not define them \ : falog ( f -- 10^f ) [ 10e0 fln ] FLiteral f* fexp ; \ : fsinh fexpm1 fdup fdup 1e0 f+ f/ f+ f2/ ; \ : fcosh fexp fdup 1/f f+ f2/ ; \ : ftanh f2* fexpm1 fdup 2e0 f+ f/ ; \ : fatanh fdup f0< >r fabs 1e0 fover f- f/ f2* flnp1 f2/ \ r> IF fnegate THEN ; \ : facosh fdup fdup f* 1e0 f- fsqrt f+ fln ; \ : fasinh fdup fdup f* 1e0 f+ fsqrt f/ fatanh ; : f~ ( f1 f2 f3 -- flag ) fdup f0= IF fdrop f= EXIT THEN fdup f0> IF frot frot f- fabs fswap ELSE fnegate frot frot fover fabs fover fabs f+ frot frot f- fabs frot frot f* THEN f< ; : f.s ." <" fdepth 0 .r ." > " fdepth 0 max maxdepth-.s @ min dup 0 ?DO dup i - 1- floats fp@ + f@ f. LOOP drop ;