1: \ High level floating point 14jan94py
2:
3: 1 cells 4 = [IF]
4: ' cells Alias sfloats
5: ' cell+ Alias sfloat+
6: ' align Alias sfalign
7: ' aligned Alias sfaligned
8: [ELSE]
9: : sfloats 2* 2* ;
10: : sfloat+ 4 + ;
11: : sfaligned ( addr -- addr' ) 3 + -4 and ;
12: : sfalign ( -- ) here dup sfaligned swap ?DO bl c, LOOP ;
13: [THEN]
14:
15: 1 floats 8 = [IF]
16: ' floats Alias dfloats
17: ' float+ Alias dfloat+
18: ' falign Alias dfalign
19: ' faligned Alias dfaligned
20: [ELSE]
21: : dfloats 2* 2* 2* ;
22: : dfloat+ 8 + ;
23: : dfaligned ( addr -- addr' ) 7 + -8 and ;
24: : dfalign ( -- ) here dup dfaligned swap ?DO bl c, LOOP ;
25: [THEN]
26:
27: : f, ( f -- ) here 1 floats allot f! ;
28:
29: : fconstant ( r -- )
30: Create f,
31: DOES> f@ ;
32:
33: : fdepth ( -- n ) f0 @ fp@ - [ 1 floats ] Literal / ;
34:
35: : FLit ( -- r ) r> faligned dup f@ float+ >r ;
36: : FLiteral ( r -- ) postpone FLit falign f, ; immediate
37:
38: &15 Value precision
39: : set-precision to precision ;
40:
41: : scratch ( r -- addr len )
42: pad precision - precision ;
43:
44: : zeros ( n -- ) 0 max 0 ?DO '0 emit LOOP ;
45:
46: : -zeros ( addr u -- addr' u' )
47: BEGIN dup WHILE 1- 2dup + c@ '0 <> UNTIL 1+ THEN ;
48:
49: : f$ ( f -- n ) scratch represent 0=
50: IF 2drop scratch 3 min type rdrop EXIT THEN
51: IF '- emit THEN ;
52:
53: : f. ( r -- ) f$ dup >r 0<
54: IF '0 emit
55: ELSE scratch r@ min type r@ precision - zeros THEN
56: '. emit r@ negate zeros
57: scratch r> 0 max /string 0 max -zeros type space ;
58: \ I'm afraid this does not really implement ansi semantics wrt precision.
59: \ Shouldn't precision indicate the number of places shown after the point?
60:
61: : fe. ( r -- ) f$ 1- s>d 3 fm/mod 3 * >r 1+ >r
62: scratch r@ min type '. emit scratch r> /string type
63: 'E emit r> . ;
64:
65: : fs. ( r -- ) f$ 1-
66: scratch over c@ emit '. emit 1 /string type
67: 'E emit . ;
68:
69: : sfnumber ( c-addr u -- r / )
70: 2dup >float
71: IF
72: 2drop state @
73: IF
74: postpone FLiteral
75: THEN
76: ELSE
77: defers notfound
78: THEN ;
79:
80: ' sfnumber IS notfound
81:
82: : fvariable ( -- )
83: Create 0e0 f, ;
84: \ does> ( -- f-addr )
85:
86: 1e0 fasin 2e0 f* fconstant pi
87:
88: : f2* 2e0 f* ;
89: : f2/ .5e0 f* ;
90: : 1/f 1e0 fswap f/ ;
91:
92:
93: \ We now have primitives for these, so we need not define them
94:
95: \ : falog ( f -- 10^f ) [ 10e0 fln ] FLiteral f* fexp ;
96:
97: \ : fsinh fexpm1 fdup fdup 1e0 f+ f/ f+ f2/ ;
98: \ : fcosh fexp fdup 1/f f+ f2/ ;
99: \ : ftanh f2* fexpm1 fdup 2e0 f+ f/ ;
100:
101: \ : fatanh fdup f0< >r fabs 1e0 fover f- f/ f2* flnp1 f2/
102: \ r> IF fnegate THEN ;
103: \ : facosh fdup fdup f* 1e0 f- fsqrt f+ fln ;
104: \ : fasinh fdup fdup f* 1e0 f+ fsqrt f/ fatanh ;
105:
106: : f~ ( f1 f2 f3 -- flag ) fdup f0= IF fdrop f= EXIT THEN
107: fdup f0> IF frot frot f- fabs fswap
108: ELSE fnegate frot frot fover fabs fover fabs f+ frot frot
109: f- fabs frot frot f* THEN f< ;
110:
111: : f.s ." <" fdepth 0 .r ." > " fdepth 0 max maxdepth-.s @ min dup 0
112: ?DO dup i - 1- floats fp@ + f@ f. LOOP drop ;
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