/* * Copyright (c) 1982 Regents of the University of California. * All rights reserved. The Berkeley software License Agreement * specifies the terms and conditions for redistribution. * * @(#)asnumber.h 5.1 (Berkeley) 4/30/85 */ union Ib_int{ /* byte */ u_char Ib_uchar[1]; char Ichar; }; union Iw_int{ /* word */ u_char Iw_uchar[2]; u_short Iw_ushort[1]; short Iw_short; }; union Il_int{ /* long word */ u_char Il_uchar[4]; u_short Il_ushort[2]; u_int Il_ulong[1]; int Il_long; }; union Iq_int{ /* quad word */ u_char Iq_uchar[8]; u_short Iq_ushort[4]; u_int Iq_ulong[2]; }; union Io_int{ /* octal word */ u_char Io_uchar[16]; u_short Io_ushort[8]; u_int Io_ulong[4]; union Iq_int Io_quad[2]; }; union Ff_float{ u_char Ff_uchar[4]; u_short Ff_ushort[2]; u_int Ff_ulong[1]; float Ff_value; }; union Fd_float{ u_char Fd_uchar[8]; u_short Fd_ushort[4]; u_int Fd_ulong[2]; double Fd_value; }; union Fg_float{ u_char Fg_uchar[8]; u_short Fg_ushort[4]; u_int Fg_ulong[2]; }; union Fh_float{ u_char Fh_uchar[16]; u_short Fh_ushort[8]; u_int Fh_ulong[4]; }; struct as_number{ union { union Ib_int numIb_int; union Iw_int numIw_int; union Il_int numIl_int; union Iq_int numIq_int; union Io_int numIo_int; union Ff_float numFf_float; union Fd_float numFd_float; union Fg_float numFg_float; union Fh_float numFh_float; }num_num; char num_tag; /* the key field: TYPB..TYPUNPACKED */ char num_sign; /* when unpacked, the sign */ short num_exponent; /* when unpacked, the unexcessed exp */ }; typedef struct as_number Bignum; extern Bignum Znumber; /* one all zero'ed out */ #define num_uchar num_num.numIq_int.Iq_uchar #define num_uint num_num.numIq_int.Iq_ulong #define num_ulong num_num.numIq_int.Iq_ulong #define num_ushort num_num.numIq_int.Iq_ushort /* * The following definitions must all be consistent. * They define the granularity of working on longs, quad and octal * words. Currently, the granularity is as large as it can be: 32 bits * in a chunk. */ #define CH_N 4 /* number of pieces */ #define CH_BITS 32 /* number of bits per piece */ #define CH_FIELD(x) ((x).num_num.numIo_int.Io_ulong) typedef u_int *chptr; /* basic data type */ #define SIGNBIT 0x80000000 #define HOC (CH_N - 1) /* high order chunk */ #if 0 #define MAXINT_1 ((unsigned)(1<<(CH_BITS - 1))) #define MAXINT_10 ((unsigned)((MAXINT_1/(unsigned)10))) #define MAXINT_5 ((unsigned)((MAXINT_1/(unsigned)5))) #else not 0 /* * These values were computed using dc, so are exact. * Only MAXINT_10 and MAXINT_5 are used in the programs. */ #define MAXINT_1 2147483648 #define MAXINT_10 214748364 #define MAXINT_5 429496729 #endif not 0 Bignum as_atoi(); /* converts string to integer */ Bignum as_atof(); /* converts string to float */ Bignum bigatof(); /* converts string to float */ Bignum floatconvert(); /* converts amongst float #s */ Bignum intconvert(); /* converts amongst float #s */ Bignum bignumconvert(); /* converts amongst float #s */ Bignum bignumpack(); /* converts UNPACKED bignum to bignum */ Bignum bignumunpack(); /* converts bignum to UNPACKED bignum */ /* * Definitions for overflows. */ typedef u_int Ovf; #define OVF_ADDV (1<<0) /* integer: adding two vectors overflowed */ #define OVF_LSHIFT (1<<1) /* integer: left shifting a vector lost bits */ #define OVF_POSOVF (1<<2) /* integer: positive number overflowed */ #define OVF_MAXINT (1<<3) /* integer: the number was the maxint + 1*/ #define OVF_F (1<<4) /* float: F overflow */ #define OVF_D (1<<5) /* float: D overflow */ #define OVF_G (1<<6) /* float: G overflow */ #define OVF_H (1<<7) /* float: H overflow */ #define OVF_OVERFLOW (1<<9) /* overflow in conversion */ #define OVF_UNDERFLOW (1<<10) /* underflow in conversion */ Ovf posovf(); Ovf numclear(); Ovf numshift(); Ovf numaddv(); Ovf numaddd(); Ovf num1comp(); Ovf numnegate(); /* * Definitions to unpack big numbers numbers into * a 128 bit fraction and 16 bit excess-free exponent, * and an 8 copy bits for the sign. * * The fraction is represented as a normalized binary number, * 128 bits long, with the binary point between bits 127 and the * hypothetical 128'th bit. This hypothetical 128'th bit * is always assumed to be one. */ /* * A map entry is NOTAKE if the corresponding byte is * not to be taken * * The maps are for going from packed to unpacked format (b_up) * and from unpacked to packed format (b_p) * for the mantissa (b_upmmap) and for the exponent(b_upemap) * * byte #i in the packed number goes to byte #b_upmmap[i] in the unpacked */ #define NOTAKE -1 struct ty_bigdesc{ char b_upmmap[16]; /* byte x of float goes to up_mmap[x] in mant */ char b_pmmap[16]; /* inverse of upmmap */ char b_upemap[2]; /* byte x of float goes to up_emap[x] in exp */ char b_pemap[2]; /* inverse of upemap */ char b_mlshift; /* left shift quantity to justify to left */ char b_ershift; /* right shift quantity to r justify exponent */ short b_msigbits; /* # sig bits in mantissa */ char b_esigbits; /* # sig bits in exponent */ short b_eexcess; /* exponent excess */ }; extern struct ty_bigdesc ty_bigdesc[]; /* * Bit manipulations */ #define ONES(n) ((1 << (n)) - 1) /* * Assertions */ #if 1 #define assert(x, str) if (!(x)) panic("%s%s\n", "x", str) #else #define assert(x, str) #endif