| bb6b2dcd |
1 | \ @(#) math.fth 98/01/26 1.2\r |
| 2 | \ Extended Math routines\r |
| 3 | \ FM/MOD SM/REM\r |
| 4 | \\r |
| 5 | \ Author: Phil Burk\r |
| 6 | \ Copyright 1994 3DO, Phil Burk, Larry Polansky, Devid Rosenboom\r |
| 7 | \\r |
| 8 | \ The pForth software code is dedicated to the public domain,\r |
| 9 | \ and any third party may reproduce, distribute and modify\r |
| 10 | \ the pForth software code or any derivative works thereof\r |
| 11 | \ without any compensation or license. The pForth software\r |
| 12 | \ code is provided on an "as is" basis without any warranty\r |
| 13 | \ of any kind, including, without limitation, the implied\r |
| 14 | \ warranties of merchantability and fitness for a particular\r |
| 15 | \ purpose and their equivalents under the laws of any jurisdiction.\r |
| 16 | \r |
| 17 | anew task-math.fth\r |
| 18 | decimal\r |
| 19 | \r |
| 20 | : FM/MOD { dl dh nn | dlp dhp nnp rem quo -- rem quo , floored }\r |
| 21 | dl dh dabs -> dhp -> dlp\r |
| 22 | nn abs -> nnp\r |
| 23 | dlp dhp nnp um/mod -> quo -> rem\r |
| 24 | dh 0< \r |
| 25 | IF \ negative dividend\r |
| 26 | nn 0< \r |
| 27 | IF \ negative divisor\r |
| 28 | rem negate -> rem\r |
| 29 | ELSE \ positive divisor\r |
| 30 | rem 0=\r |
| 31 | IF\r |
| 32 | quo negate -> quo\r |
| 33 | ELSE\r |
| 34 | quo 1+ negate -> quo\r |
| 35 | nnp rem - -> rem\r |
| 36 | THEN\r |
| 37 | THEN\r |
| 38 | ELSE \ positive dividend\r |
| 39 | nn 0< \r |
| 40 | IF \ negative divisor\r |
| 41 | rem 0=\r |
| 42 | IF\r |
| 43 | quo negate -> quo\r |
| 44 | ELSE\r |
| 45 | nnp rem - negate -> rem\r |
| 46 | quo 1+ negate -> quo\r |
| 47 | THEN\r |
| 48 | THEN\r |
| 49 | THEN\r |
| 50 | rem quo\r |
| 51 | ;\r |
| 52 | \r |
| 53 | : SM/REM { dl dh nn | dlp dhp nnp rem quo -- rem quo , symmetric }\r |
| 54 | dl dh dabs -> dhp -> dlp\r |
| 55 | nn abs -> nnp\r |
| 56 | dlp dhp nnp um/mod -> quo -> rem\r |
| 57 | dh 0< \r |
| 58 | IF \ negative dividend\r |
| 59 | rem negate -> rem\r |
| 60 | nn 0> \r |
| 61 | IF \ positive divisor\r |
| 62 | quo negate -> quo\r |
| 63 | THEN\r |
| 64 | ELSE \ positive dividend\r |
| 65 | nn 0< \r |
| 66 | IF \ negative divisor\r |
| 67 | quo negate -> quo\r |
| 68 | THEN\r |
| 69 | THEN\r |
| 70 | rem quo\r |
| 71 | ;\r |
| 72 | \r |
| 73 | \r |
| 74 | : /MOD ( a b -- rem quo )\r |
| 75 | >r s>d r> sm/rem\r |
| 76 | ;\r |
| 77 | \r |
| 78 | : MOD ( a b -- rem )\r |
| 79 | /mod drop\r |
| 80 | ;\r |
| 81 | \r |
| 82 | : */MOD ( a b c -- rem a*b/c , use double precision intermediate value )\r |
| 83 | >r m*\r |
| 84 | r> sm/rem\r |
| 85 | ;\r |
| 86 | : */ ( a b c -- a*b/c , use double precision intermediate value )\r |
| 87 | */mod\r |
| 88 | nip\r |
| 89 | ;\r |
projects / pforth / blame