376 lines
11 KiB
C
376 lines
11 KiB
C
/* $NetBSD: ntp_fp.h,v 1.1.1.1 2000/03/29 12:38:48 simonb Exp $ */
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/*
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* ntp_fp.h - definitions for NTP fixed/floating-point arithmetic
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*/
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#ifndef NTP_FP_H
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#define NTP_FP_H
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#include <sys/types.h>
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#include <sys/socket.h>
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#include <netinet/in.h>
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#include "ntp_types.h"
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/*
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* NTP uses two fixed point formats. The first (l_fp) is the "long"
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* format and is 64 bits long with the decimal between bits 31 and 32.
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* This is used for time stamps in the NTP packet header (in network
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* byte order) and for internal computations of offsets (in local host
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* byte order). We use the same structure for both signed and unsigned
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* values, which is a big hack but saves rewriting all the operators
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* twice. Just to confuse this, we also sometimes just carry the
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* fractional part in calculations, in both signed and unsigned forms.
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* Anyway, an l_fp looks like:
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*
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* 0 1 2 3
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* 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
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* +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
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* | Integral Part |
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* +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
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* | Fractional Part |
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* +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
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*
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*/
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typedef struct {
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union {
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u_int32 Xl_ui;
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int32 Xl_i;
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} Ul_i;
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union {
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u_int32 Xl_uf;
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int32 Xl_f;
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} Ul_f;
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} l_fp;
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#define l_ui Ul_i.Xl_ui /* unsigned integral part */
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#define l_i Ul_i.Xl_i /* signed integral part */
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#define l_uf Ul_f.Xl_uf /* unsigned fractional part */
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#define l_f Ul_f.Xl_f /* signed fractional part */
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/*
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* Fractional precision (of an l_fp) is actually the number of
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* bits in a long.
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*/
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#define FRACTION_PREC (32)
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/*
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* The second fixed point format is 32 bits, with the decimal between
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* bits 15 and 16. There is a signed version (s_fp) and an unsigned
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* version (u_fp). This is used to represent synchronizing distance
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* and synchronizing dispersion in the NTP packet header (again, in
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* network byte order) and internally to hold both distance and
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* dispersion values (in local byte order). In network byte order
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* it looks like:
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*
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* 0 1 2 3
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* 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1 2 3 4 5 6 7 8 9 0 1
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* +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
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* | Integer Part | Fraction Part |
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* +-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+-+
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*
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*/
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typedef int32 s_fp;
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typedef u_int32 u_fp;
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/*
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* A unit second in fp format. Actually 2**(half_the_bits_in_a_long)
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*/
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#define FP_SECOND (0x10000)
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/*
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* Byte order conversions
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*/
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#define HTONS_FP(x) (htonl(x))
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#define HTONL_FP(h, n) do { (n)->l_ui = htonl((h)->l_ui); \
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(n)->l_uf = htonl((h)->l_uf); } while (0)
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#define NTOHS_FP(x) (ntohl(x))
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#define NTOHL_FP(n, h) do { (h)->l_ui = ntohl((n)->l_ui); \
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(h)->l_uf = ntohl((n)->l_uf); } while (0)
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#define NTOHL_MFP(ni, nf, hi, hf) \
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do { (hi) = ntohl(ni); (hf) = ntohl(nf); } while (0)
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#define HTONL_MFP(hi, hf, ni, nf) \
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do { (ni) = ntohl(hi); (nf) = ntohl(hf); } while (0)
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/* funny ones. Converts ts fractions to net order ts */
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#define HTONL_UF(uf, nts) \
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do { (nts)->l_ui = 0; (nts)->l_uf = htonl(uf); } while (0)
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#define HTONL_F(f, nts) do { (nts)->l_uf = htonl(f); \
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if ((f) & 0x80000000) \
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(nts)->l_i = -1; \
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else \
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(nts)->l_i = 0; \
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} while (0)
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/*
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* Conversions between the two fixed point types
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*/
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#define MFPTOFP(x_i, x_f) (((x_i) >= 0x00010000) ? 0x7fffffff : \
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(((x_i) <= -0x00010000) ? 0x80000000 : \
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(((x_i)<<16) | (((x_f)>>16)&0xffff))))
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#define LFPTOFP(v) MFPTOFP((v)->l_i, (v)->l_f)
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#define UFPTOLFP(x, v) ((v)->l_ui = (u_fp)(x)>>16, (v)->l_uf = (x)<<16)
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#define FPTOLFP(x, v) (UFPTOLFP((x), (v)), (x) < 0 ? (v)->l_ui -= 0x10000 : 0)
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#define MAXLFP(v) ((v)->l_ui = 0x7fffffff, (v)->l_uf = 0xffffffff)
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#define MINLFP(v) ((v)->l_ui = 0x80000000, (v)->l_uf = 0)
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/*
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* Primitive operations on long fixed point values. If these are
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* reminiscent of assembler op codes it's only because some may
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* be replaced by inline assembler for particular machines someday.
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* These are the (kind of inefficient) run-anywhere versions.
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*/
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#define M_NEG(v_i, v_f) /* v = -v */ \
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do { \
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if ((v_f) == 0) \
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(v_i) = -((s_fp)(v_i)); \
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else { \
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(v_f) = -((s_fp)(v_f)); \
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(v_i) = ~(v_i); \
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} \
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} while(0)
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#define M_NEGM(r_i, r_f, a_i, a_f) /* r = -a */ \
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do { \
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if ((a_f) == 0) { \
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(r_f) = 0; \
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(r_i) = -(a_i); \
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} else { \
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(r_f) = -(a_f); \
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(r_i) = ~(a_i); \
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} \
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} while(0)
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#define M_ADD(r_i, r_f, a_i, a_f) /* r += a */ \
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do { \
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register u_int32 lo_tmp; \
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register u_int32 hi_tmp; \
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\
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lo_tmp = ((r_f) & 0xffff) + ((a_f) & 0xffff); \
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hi_tmp = (((r_f) >> 16) & 0xffff) + (((a_f) >> 16) & 0xffff); \
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if (lo_tmp & 0x10000) \
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hi_tmp++; \
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(r_f) = ((hi_tmp & 0xffff) << 16) | (lo_tmp & 0xffff); \
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\
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(r_i) += (a_i); \
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if (hi_tmp & 0x10000) \
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(r_i)++; \
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} while (0)
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#define M_ADD3(r_ovr, r_i, r_f, a_ovr, a_i, a_f) /* r += a, three word */ \
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do { \
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register u_int32 lo_tmp; \
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register u_int32 hi_tmp; \
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\
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lo_tmp = ((r_f) & 0xffff) + ((a_f) & 0xffff); \
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hi_tmp = (((r_f) >> 16) & 0xffff) + (((a_f) >> 16) & 0xffff); \
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if (lo_tmp & 0x10000) \
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hi_tmp++; \
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(r_f) = ((hi_tmp & 0xffff) << 16) | (lo_tmp & 0xffff); \
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\
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lo_tmp = ((r_i) & 0xffff) + ((a_i) & 0xffff); \
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if (hi_tmp & 0x10000) \
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lo_tmp++; \
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hi_tmp = (((r_i) >> 16) & 0xffff) + (((a_i) >> 16) & 0xffff); \
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if (lo_tmp & 0x10000) \
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hi_tmp++; \
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(r_i) = ((hi_tmp & 0xffff) << 16) | (lo_tmp & 0xffff); \
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\
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(r_ovr) += (a_ovr); \
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if (hi_tmp & 0x10000) \
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(r_ovr)++; \
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} while (0)
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#define M_SUB(r_i, r_f, a_i, a_f) /* r -= a */ \
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do { \
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register u_int32 lo_tmp; \
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register u_int32 hi_tmp; \
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\
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if ((a_f) == 0) { \
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(r_i) -= (a_i); \
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} else { \
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lo_tmp = ((r_f) & 0xffff) + ((-((s_fp)(a_f))) & 0xffff); \
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hi_tmp = (((r_f) >> 16) & 0xffff) \
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+ (((-((s_fp)(a_f))) >> 16) & 0xffff); \
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if (lo_tmp & 0x10000) \
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hi_tmp++; \
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(r_f) = ((hi_tmp & 0xffff) << 16) | (lo_tmp & 0xffff); \
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\
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(r_i) += ~(a_i); \
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if (hi_tmp & 0x10000) \
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(r_i)++; \
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} \
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} while (0)
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#define M_RSHIFTU(v_i, v_f) /* v >>= 1, v is unsigned */ \
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do { \
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(v_f) = (u_int32)(v_f) >> 1; \
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if ((v_i) & 01) \
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(v_f) |= 0x80000000; \
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(v_i) = (u_int32)(v_i) >> 1; \
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} while (0)
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#define M_RSHIFT(v_i, v_f) /* v >>= 1, v is signed */ \
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do { \
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(v_f) = (u_int32)(v_f) >> 1; \
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if ((v_i) & 01) \
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(v_f) |= 0x80000000; \
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if ((v_i) & 0x80000000) \
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(v_i) = ((v_i) >> 1) | 0x80000000; \
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else \
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(v_i) = (v_i) >> 1; \
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} while (0)
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#define M_LSHIFT(v_i, v_f) /* v <<= 1 */ \
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do { \
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(v_i) <<= 1; \
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if ((v_f) & 0x80000000) \
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(v_i) |= 0x1; \
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(v_f) <<= 1; \
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} while (0)
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#define M_LSHIFT3(v_ovr, v_i, v_f) /* v <<= 1, with overflow */ \
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do { \
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(v_ovr) <<= 1; \
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if ((v_i) & 0x80000000) \
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(v_ovr) |= 0x1; \
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(v_i) <<= 1; \
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if ((v_f) & 0x80000000) \
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(v_i) |= 0x1; \
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(v_f) <<= 1; \
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} while (0)
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#define M_ADDUF(r_i, r_f, uf) /* r += uf, uf is u_int32 fraction */ \
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M_ADD((r_i), (r_f), 0, (uf)) /* let optimizer worry about it */
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#define M_SUBUF(r_i, r_f, uf) /* r -= uf, uf is u_int32 fraction */ \
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M_SUB((r_i), (r_f), 0, (uf)) /* let optimizer worry about it */
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#define M_ADDF(r_i, r_f, f) /* r += f, f is a int32 fraction */ \
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do { \
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if ((f) > 0) \
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M_ADD((r_i), (r_f), 0, (f)); \
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else if ((f) < 0) \
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M_ADD((r_i), (r_f), (-1), (f));\
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} while(0)
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#define M_ISNEG(v_i, v_f) /* v < 0 */ \
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(((v_i) & 0x80000000) != 0)
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#define M_ISHIS(a_i, a_f, b_i, b_f) /* a >= b unsigned */ \
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(((u_int32)(a_i)) > ((u_int32)(b_i)) || \
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((a_i) == (b_i) && ((u_int32)(a_f)) >= ((u_int32)(b_f))))
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#define M_ISGEQ(a_i, a_f, b_i, b_f) /* a >= b signed */ \
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(((int32)(a_i)) > ((int32)(b_i)) || \
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((a_i) == (b_i) && ((u_int32)(a_f)) >= ((u_int32)(b_f))))
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#define M_ISEQU(a_i, a_f, b_i, b_f) /* a == b unsigned */ \
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((a_i) == (b_i) && (a_f) == (b_f))
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/*
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* Operations on the long fp format
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*/
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#define L_ADD(r, a) M_ADD((r)->l_ui, (r)->l_uf, (a)->l_ui, (a)->l_uf)
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#define L_SUB(r, a) M_SUB((r)->l_ui, (r)->l_uf, (a)->l_ui, (a)->l_uf)
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#define L_NEG(v) M_NEG((v)->l_ui, (v)->l_uf)
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#define L_ADDUF(r, uf) M_ADDUF((r)->l_ui, (r)->l_uf, (uf))
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#define L_SUBUF(r, uf) M_SUBUF((r)->l_ui, (r)->l_uf, (uf))
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#define L_ADDF(r, f) M_ADDF((r)->l_ui, (r)->l_uf, (f))
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#define L_RSHIFT(v) M_RSHIFT((v)->l_i, (v)->l_uf)
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#define L_RSHIFTU(v) M_RSHIFT((v)->l_ui, (v)->l_uf)
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#define L_LSHIFT(v) M_LSHIFT((v)->l_ui, (v)->l_uf)
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#define L_CLR(v) ((v)->l_ui = (v)->l_uf = 0)
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#define L_ISNEG(v) (((v)->l_ui & 0x80000000) != 0)
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#define L_ISZERO(v) ((v)->l_ui == 0 && (v)->l_uf == 0)
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#define L_ISHIS(a, b) ((a)->l_ui > (b)->l_ui || \
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((a)->l_ui == (b)->l_ui && (a)->l_uf >= (b)->l_uf))
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#define L_ISGEQ(a, b) ((a)->l_i > (b)->l_i || \
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((a)->l_i == (b)->l_i && (a)->l_uf >= (b)->l_uf))
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#define L_ISEQU(a, b) M_ISEQU((a)->l_ui, (a)->l_uf, (b)->l_ui, (b)->l_uf)
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/*
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* s_fp/double and u_fp/double conversions
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*/
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#define FRIC 65536. /* 2^16 as a double */
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#define DTOFP(r) ((s_fp)((r) * FRIC))
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#define DTOUFP(r) ((u_fp)((r) * FRIC))
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#define FPTOD(r) ((double)(r) / FRIC)
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/*
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* l_fp/double conversions
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*/
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#define FRAC 4294967296. /* 2^32 as a double */
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#define M_DTOLFP(d, r_i, r_uf) /* double to l_fp */ \
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do { \
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register double d_tmp; \
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\
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d_tmp = (d); \
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if (d_tmp < 0) { \
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d_tmp = -d_tmp; \
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(r_i) = (int32)(d_tmp); \
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(r_uf) = (u_int32)(((d_tmp) - (double)(r_i)) * FRAC); \
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M_NEG((r_i), (r_uf)); \
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} else { \
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(r_i) = (int32)(d_tmp); \
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(r_uf) = (u_int32)(((d_tmp) - (double)(r_i)) * FRAC); \
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} \
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} while (0)
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#define M_LFPTOD(r_i, r_uf, d) /* l_fp to double */ \
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do { \
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register l_fp l_tmp; \
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\
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l_tmp.l_i = (r_i); \
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l_tmp.l_f = (r_uf); \
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if (l_tmp.l_i < 0) { \
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M_NEG(l_tmp.l_i, l_tmp.l_uf); \
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(d) = -((double)l_tmp.l_i + ((double)l_tmp.l_uf) / FRAC); \
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} else { \
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(d) = (double)l_tmp.l_i + ((double)l_tmp.l_uf) / FRAC; \
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} \
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} while (0)
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#define DTOLFP(d, v) M_DTOLFP((d), (v)->l_ui, (v)->l_uf)
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#define LFPTOD(v, d) M_LFPTOD((v)->l_ui, (v)->l_uf, (d))
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/*
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* Prototypes
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*/
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extern char * dofptoa P((u_fp, int, int, int));
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extern char * dolfptoa P((u_long, u_long, int, int, int));
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extern int atolfp P((const char *, l_fp *));
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extern int buftvtots P((const char *, l_fp *));
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extern char * fptoa P((s_fp, int));
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extern char * fptoms P((s_fp, int));
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extern char * fptoms P((s_fp, int));
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extern int hextolfp P((const char *, l_fp *));
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extern void gpstolfp P((int, int, unsigned long, l_fp *));
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extern int mstolfp P((const char *, l_fp *));
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extern char * prettydate P((l_fp *));
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extern char * gmprettydate P((l_fp *));
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extern char * uglydate P((l_fp *));
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extern void mfp_mul P((int32 *, u_int32 *, int32, u_int32, int32, u_int32));
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extern void get_systime P((l_fp *));
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extern int step_systime P((double));
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extern int adj_systime P((double));
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#define lfptoa(_fpv, _ndec) mfptoa((_fpv)->l_ui, (_fpv)->l_uf, (_ndec))
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#define lfptoms(_fpv, _ndec) mfptoms((_fpv)->l_ui, (_fpv)->l_uf, (_ndec))
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#define ntoa(_sin) numtoa((_sin)->sin_addr.s_addr)
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#define ntohost(_sin) numtohost((_sin)->sin_addr.s_addr)
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#define ufptoa(_fpv, _ndec) dofptoa((_fpv), 0, (_ndec), 0)
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#define ufptoms(_fpv, _ndec) dofptoa((_fpv), 0, (_ndec), 1)
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#define ulfptoa(_fpv, _ndec) dolfptoa((_fpv)->l_ui, (_fpv)->l_uf, 0, (_ndec), 0)
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#define ulfptoms(_fpv, _ndec) dolfptoa((_fpv)->l_ui, (_fpv)->l_uf, 0, (_ndec), 1)
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#define umfptoa(_fpi, _fpf, _ndec) dolfptoa((_fpi), (_fpf), 0, (_ndec), 0)
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#endif /* NTP_FP_H */
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