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| 1 : | anton | 1.1 | \ High level floating point 14jan94py |
| 2 : | |||
| 3 : | anton | 1.56 | \ Copyright (C) 1995,1997,2003,2004,2005,2006,2007,2009 Free Software Foundation, Inc. |
| 4 : | anton | 1.18 | |
| 5 : | \ This file is part of Gforth. | ||
| 6 : | |||
| 7 : | \ Gforth is free software; you can redistribute it and/or | ||
| 8 : | \ modify it under the terms of the GNU General Public License | ||
| 9 : | anton | 1.53 | \ as published by the Free Software Foundation, either version 3 |
| 10 : | anton | 1.18 | \ of the License, or (at your option) any later version. |
| 11 : | |||
| 12 : | \ This program is distributed in the hope that it will be useful, | ||
| 13 : | \ but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
| 14 : | \ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | ||
| 15 : | \ GNU General Public License for more details. | ||
| 16 : | |||
| 17 : | \ You should have received a copy of the GNU General Public License | ||
| 18 : | anton | 1.53 | \ along with this program. If not, see http://www.gnu.org/licenses/. |
| 19 : | anton | 1.18 | |
| 20 : | anton | 1.17 | \ 1 cells 4 = [IF] |
| 21 : | \ ' cells Alias sfloats | ||
| 22 : | \ ' cell+ Alias sfloat+ | ||
| 23 : | \ ' align Alias sfalign | ||
| 24 : | \ ' aligned Alias sfaligned | ||
| 25 : | \ [ELSE] | ||
| 26 : | \ : sfloats 2* 2* ; | ||
| 27 : | \ : sfloat+ 4 + ; | ||
| 28 : | \ : sfaligned ( addr -- addr' ) 3 + -4 and ; | ||
| 29 : | \ : sfalign ( -- ) here dup sfaligned swap ?DO bl c, LOOP ; | ||
| 30 : | \ [THEN] | ||
| 31 : | pazsan | 1.6 | |
| 32 : | anton | 1.17 | \ 1 floats 8 = [IF] |
| 33 : | \ ' floats Alias dfloats | ||
| 34 : | \ ' float+ Alias dfloat+ | ||
| 35 : | \ ' falign Alias dfalign | ||
| 36 : | \ ' faligned Alias dfaligned | ||
| 37 : | \ [ELSE] | ||
| 38 : | \ : dfloats 2* 2* 2* ; | ||
| 39 : | \ : dfloat+ 8 + ; | ||
| 40 : | \ : dfaligned ( addr -- addr' ) 7 + -8 and ; | ||
| 41 : | \ : dfalign ( -- ) here dup dfaligned swap ?DO bl c, LOOP ; | ||
| 42 : | \ [THEN] | ||
| 43 : | |||
| 44 : | : sfalign ( -- ) \ float-ext s-f-align | ||
| 45 : | crook | 1.26 | \G If the data-space pointer is not single-float-aligned, reserve |
| 46 : | \G enough space to align it. | ||
| 47 : | anton | 1.17 | here dup sfaligned swap ?DO bl c, LOOP ; |
| 48 : | : dfalign ( -- ) \ float-ext d-f-align | ||
| 49 : | crook | 1.26 | \G If the data-space pointer is not double-float-aligned, reserve |
| 50 : | \G enough space to align it. | ||
| 51 : | anton | 1.17 | here dup dfaligned swap ?DO bl c, LOOP ; |
| 52 : | |||
| 53 : | anton | 1.51 | (Field) sfloat+ ( sf-addr1 -- sf-addr2 ) \ float-ext s-float-plus |
| 54 : | anton | 1.31 | \G @code{1 sfloats +}. |
| 55 : | anton | 1.51 | 1 sfloats , |
| 56 : | anton | 1.17 | |
| 57 : | anton | 1.51 | (Field) dfloat+ ( df-addr1 -- df-addr2 ) \ float-ext d-float-plus |
| 58 : | anton | 1.31 | \G @code{1 dfloats +}. |
| 59 : | anton | 1.51 | 1 dfloats , |
| 60 : | |||
| 61 : | crook | 1.26 | : f, ( f -- ) \ gforth |
| 62 : | \G Reserve data space for one floating-point number and store | ||
| 63 : | \G @i{f} in the space. | ||
| 64 : | here 1 floats allot f! ; | ||
| 65 : | anton | 1.1 | |
| 66 : | crook | 1.29 | : fconstant ( r "name" -- ) \ float f-constant |
| 67 : | anton | 1.13 | Create f, |
| 68 : | anton | 1.16 | DOES> ( -- r ) |
| 69 : | f@ ; | ||
| 70 : | anton | 1.1 | |
| 71 : | crook | 1.29 | : fdepth ( -- +n ) \ float f-depth |
| 72 : | crook | 1.28 | \G @i{+n} is the current number of (floating-point) values on the |
| 73 : | crook | 1.24 | \G floating-point stack. |
| 74 : | fp0 @ fp@ - [ 1 floats ] Literal / ; | ||
| 75 : | anton | 1.1 | |
| 76 : | crook | 1.29 | : FLiteral ( compilation r -- ; run-time -- r ) \ float f-literal |
| 77 : | crook | 1.28 | \G Compile appropriate code such that, at run-time, @i{r} is placed |
| 78 : | crook | 1.24 | \G on the (floating-point) stack. Interpretation semantics are undefined. |
| 79 : | anton | 1.39 | BEGIN here cell+ cell+ dup faligned <> WHILE postpone noop REPEAT |
| 80 : | postpone ahead here >r f, postpone then | ||
| 81 : | r> postpone literal postpone f@ ; immediate | ||
| 82 : | crook | 1.24 | |
| 83 : | crook | 1.29 | &15 Value precision ( -- u ) \ float-ext |
| 84 : | crook | 1.28 | \G @i{u} is the number of significant digits currently used by |
| 85 : | crook | 1.24 | \G @code{F.} @code{FE.} and @code{FS.} |
| 86 : | crook | 1.29 | : set-precision ( u -- ) \ float-ext |
| 87 : | crook | 1.24 | \G Set the number of significant digits currently used by |
| 88 : | crook | 1.28 | \G @code{F.} @code{FE.} and @code{FS.} to @i{u}. |
| 89 : | crook | 1.24 | to precision ; |
| 90 : | anton | 1.1 | |
| 91 : | : scratch ( r -- addr len ) | ||
| 92 : | pad precision - precision ; | ||
| 93 : | |||
| 94 : | : zeros ( n -- ) 0 max 0 ?DO '0 emit LOOP ; | ||
| 95 : | |||
| 96 : | : -zeros ( addr u -- addr' u' ) | ||
| 97 : | BEGIN dup WHILE 1- 2dup + c@ '0 <> UNTIL 1+ THEN ; | ||
| 98 : | |||
| 99 : | pazsan | 1.4 | : f$ ( f -- n ) scratch represent 0= |
| 100 : | IF 2drop scratch 3 min type rdrop EXIT THEN | ||
| 101 : | IF '- emit THEN ; | ||
| 102 : | |||
| 103 : | crook | 1.29 | : f. ( r -- ) \ float-ext f-dot |
| 104 : | anton | 1.32 | \G Display (the floating-point number) @i{r} without exponent, |
| 105 : | crook | 1.24 | \G followed by a space. |
| 106 : | anton | 1.35 | f$ dup >r 0<= |
| 107 : | pazsan | 1.4 | IF '0 emit |
| 108 : | anton | 1.1 | ELSE scratch r@ min type r@ precision - zeros THEN |
| 109 : | '. emit r@ negate zeros | ||
| 110 : | scratch r> 0 max /string 0 max -zeros type space ; | ||
| 111 : | benschop | 1.3 | \ I'm afraid this does not really implement ansi semantics wrt precision. |
| 112 : | \ Shouldn't precision indicate the number of places shown after the point? | ||
| 113 : | anton | 1.1 | |
| 114 : | anton | 1.33 | \ Why do you think so? ANS Forth appears ambiguous on this point. -anton. |
| 115 : | |||
| 116 : | crook | 1.29 | : fe. ( r -- ) \ float-ext f-e-dot |
| 117 : | anton | 1.32 | \G Display @i{r} using engineering notation (with exponent dividable |
| 118 : | \G by 3), followed by a space. | ||
| 119 : | crook | 1.24 | f$ 1- s>d 3 fm/mod 3 * >r 1+ >r |
| 120 : | anton | 1.33 | scratch r@ tuck min tuck - >r type r> zeros |
| 121 : | '. emit scratch r> /string type | ||
| 122 : | anton | 1.1 | 'E emit r> . ; |
| 123 : | |||
| 124 : | crook | 1.29 | : fs. ( r -- ) \ float-ext f-s-dot |
| 125 : | anton | 1.32 | \G Display @i{r} using scientific notation (with exponent), followed |
| 126 : | \G by a space. | ||
| 127 : | crook | 1.24 | f$ 1- |
| 128 : | pazsan | 1.4 | scratch over c@ emit '. emit 1 /string type |
| 129 : | 'E emit . ; | ||
| 130 : | |||
| 131 : | anton | 1.19 | : sfnumber ( c-addr u -- r true | false ) |
| 132 : | 2dup [CHAR] e scan ( c-addr u c-addr2 u2 ) | ||
| 133 : | anton | 1.16 | dup 0= |
| 134 : | IF | ||
| 135 : | anton | 1.19 | 2drop 2dup [CHAR] E scan ( c-addr u c-addr3 u3 ) |
| 136 : | anton | 1.16 | THEN |
| 137 : | nip | ||
| 138 : | anton | 1.7 | IF |
| 139 : | anton | 1.19 | >float |
| 140 : | ELSE | ||
| 141 : | 2drop false | ||
| 142 : | THEN ; | ||
| 143 : | |||
| 144 : | anton | 1.47 | [ifundef] compiler-notfound1 |
| 145 : | defer compiler-notfound1 | ||
| 146 : | ' no.extensions IS compiler-notfound1 | ||
| 147 : | |||
| 148 : | :noname compiler-notfound1 execute ; is compiler-notfound | ||
| 149 : | |||
| 150 : | defer interpreter-notfound1 | ||
| 151 : | ' no.extensions IS interpreter-notfound1 | ||
| 152 : | |||
| 153 : | :noname interpreter-notfound1 execute ; is interpreter-notfound | ||
| 154 : | [then] | ||
| 155 : | |||
| 156 : | :noname ( c-addr u -- ... xt ) | ||
| 157 : | anton | 1.19 | 2dup sfnumber |
| 158 : | IF | ||
| 159 : | anton | 1.47 | 2drop [comp'] FLiteral |
| 160 : | anton | 1.19 | ELSE |
| 161 : | anton | 1.47 | defers compiler-notfound1 |
| 162 : | anton | 1.19 | ENDIF ; |
| 163 : | anton | 1.47 | IS compiler-notfound1 |
| 164 : | anton | 1.1 | |
| 165 : | anton | 1.47 | :noname ( c-addr u -- ... xt ) |
| 166 : | anton | 1.19 | 2dup sfnumber |
| 167 : | IF | ||
| 168 : | anton | 1.47 | 2drop ['] noop |
| 169 : | anton | 1.19 | ELSE |
| 170 : | anton | 1.47 | defers interpreter-notfound1 |
| 171 : | anton | 1.19 | ENDIF ; |
| 172 : | anton | 1.47 | IS interpreter-notfound1 |
| 173 : | anton | 1.13 | |
| 174 : | crook | 1.29 | : fvariable ( "name" -- ) \ float f-variable |
| 175 : | pazsan | 1.15 | Create 0.0E0 f, ; |
| 176 : | anton | 1.13 | \ does> ( -- f-addr ) |
| 177 : | anton | 1.1 | |
| 178 : | crook | 1.24 | 1.0e0 fasin 2.0e0 f* fconstant pi ( -- r ) \ gforth |
| 179 : | crook | 1.28 | \G @code{Fconstant} -- @i{r} is the value pi; the ratio of a circle's area |
| 180 : | crook | 1.24 | \G to its diameter. |
| 181 : | |||
| 182 : | : f2* ( r1 -- r2 ) \ gforth | ||
| 183 : | crook | 1.28 | \G Multiply @i{r1} by 2.0e0 |
| 184 : | crook | 1.24 | 2.0e0 f* ; |
| 185 : | |||
| 186 : | : f2/ ( r1 -- r2 ) \ gforth | ||
| 187 : | crook | 1.28 | \G Multiply @i{r1} by 0.5e0 |
| 188 : | crook | 1.24 | 0.5e0 f* ; |
| 189 : | |||
| 190 : | : 1/f ( r1 -- r2 ) \ gforth | ||
| 191 : | crook | 1.28 | \G Divide 1.0e0 by @i{r1}. |
| 192 : | crook | 1.24 | 1.0e0 fswap f/ ; |
| 193 : | pazsan | 1.6 | |
| 194 : | pazsan | 1.36 | get-current environment-wordlist set-current |
| 195 : | 1.7976931348623157e308 FConstant max-float | ||
| 196 : | set-current | ||
| 197 : | pazsan | 1.6 | |
| 198 : | anton | 1.10 | \ We now have primitives for these, so we need not define them |
| 199 : | pazsan | 1.6 | |
| 200 : | pazsan | 1.15 | \ : falog ( f -- 10^f ) [ 10.0e0 fln ] FLiteral f* fexp ; |
| 201 : | anton | 1.10 | |
| 202 : | pazsan | 1.15 | \ : fsinh fexpm1 fdup fdup 1.0e0 f+ f/ f+ f2/ ; |
| 203 : | anton | 1.10 | \ : fcosh fexp fdup 1/f f+ f2/ ; |
| 204 : | pazsan | 1.15 | \ : ftanh f2* fexpm1 fdup 2.0e0 f+ f/ ; |
| 205 : | anton | 1.10 | |
| 206 : | pazsan | 1.15 | \ : fatanh fdup f0< >r fabs 1.0e0 fover f- f/ f2* flnp1 f2/ |
| 207 : | anton | 1.10 | \ r> IF fnegate THEN ; |
| 208 : | pazsan | 1.15 | \ : facosh fdup fdup f* 1.0e0 f- fsqrt f+ fln ; |
| 209 : | \ : fasinh fdup fdup f* 1.0e0 f+ fsqrt f/ fatanh ; | ||
| 210 : | pazsan | 1.9 | |
| 211 : | anton | 1.27 | : f~abs ( r1 r2 r3 -- flag ) \ gforth |
| 212 : | \G Approximate equality with absolute error: |r1-r2|<r3. | ||
| 213 : | frot frot f- fabs fswap f< ; | ||
| 214 : | |||
| 215 : | : f~rel ( r1 r2 r3 -- flag ) \ gforth | ||
| 216 : | \G Approximate equality with relative error: |r1-r2|<r3*|r1+r2|. | ||
| 217 : | frot frot fover fabs fover fabs f+ frot frot | ||
| 218 : | f- fabs frot frot f* f< ; | ||
| 219 : | |||
| 220 : | crook | 1.29 | : f~ ( r1 r2 r3 -- flag ) \ float-ext f-proximate |
| 221 : | anton | 1.31 | \G ANS Forth medley for comparing r1 and r2 for equality: r3>0: |
| 222 : | \G @code{f~abs}; r3=0: bitwise comparison; r3<0: @code{fnegate f~rel}. | ||
| 223 : | anton | 1.16 | fdup f0= |
| 224 : | anton | 1.31 | IF \ bitwise comparison |
| 225 : | anton | 1.41 | fp@ float+ 1 floats over float+ over str= |
| 226 : | anton | 1.31 | fdrop fdrop fdrop |
| 227 : | anton | 1.27 | EXIT |
| 228 : | anton | 1.16 | THEN |
| 229 : | fdup f0> | ||
| 230 : | IF | ||
| 231 : | anton | 1.27 | f~abs |
| 232 : | anton | 1.16 | ELSE |
| 233 : | anton | 1.27 | fnegate f~rel |
| 234 : | THEN ; | ||
| 235 : | anton | 1.44 | |
| 236 : | anton | 1.57 | -0e 8 0 [do] fp@ [i] + c@ $80 = [if] [i] constant fsign-offset [then] [loop] |
| 237 : | anton | 1.54 | |
| 238 : | : fcopysign ( r1 r2 -- r3 ) \ gforth | ||
| 239 : | \G r3 takes its absolute value from r1 and its sign from r2 | ||
| 240 : | \ !! implementation relies on IEEE DP format | ||
| 241 : | anton | 1.55 | fp@ fsign-offset + dup c@ $80 and >r ( r1 r2 addr-r1sign ) |
| 242 : | float+ dup c@ $7f and r> or swap c! | ||
| 243 : | anton | 1.54 | fdrop ; |
| 244 : | |||
| 245 : | anton | 1.44 | \ proposals from Krishna Myeni in <cjsp2d$47l$1@ngspool-d02.news.aol.com> |
| 246 : | \ not sure if they are a good idea | ||
| 247 : | |||
| 248 : | anton | 1.54 | : ftrunc ( r1 -- r2 ) \ X:ftrunc |
| 249 : | anton | 1.44 | \ round towards 0 |
| 250 : | anton | 1.54 | fdup fabs floor fswap fcopysign ; |
| 251 : | anton | 1.44 | |
| 252 : | : FMOD ( r1 r2 -- r ) | ||
| 253 : | \ remainder of r1/r2 | ||
| 254 : | FOVER FOVER F/ ftrunc F* F- ; | ||
| 255 : | anton | 1.54 |
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