xref: /src/external/bsd/ntp/dist/tests/libntp/calendar.c

/*	$NetBSD: calendar.c,v 1.3 2024/08/18 20:47:26 christos Exp $	*/

#include "config.h"

#include "ntp_stdlib.h" /* test fail without this include, for some reason */
#include "ntp_calendar.h"
#include "ntp_calgps.h"
#include "ntp_unixtime.h"
#include "ntp_fp.h"
#include "unity.h"

#include <string.h>

static char mbuf[128];

static int leapdays(int year);

void	setUp(void);
int	isGT(int first, int second);
int	leapdays(int year);
char *	CalendarFromCalToString(const struct calendar *cal);
char *	CalendarFromIsoToString(const struct isodate *iso);
int	IsEqualCal(const struct calendar *expected, const struct calendar *actual);
int	IsEqualIso(const struct isodate *expected, const struct isodate *actual);
char *	DateFromCalToString(const struct calendar *cal);
char *	DateFromIsoToString(const struct isodate *iso);
int	IsEqualDateCal(const struct calendar *expected, const struct calendar *actual);
int	IsEqualDateIso(const struct isodate *expected, const struct isodate *actual);

void	test_Constants(void);
void	test_DaySplitMerge(void);
void	test_WeekSplitMerge(void);
void	test_SplitYearDays1(void);
void	test_SplitYearDays2(void);
void	test_SplitEraDays(void);
void	test_SplitEraWeeks(void);
void	test_RataDie1(void);
void	test_LeapYears1(void);
void	test_LeapYears2(void);
void	test_LeapYears3(void);
void	test_RoundTripDate(void);
void	test_RoundTripYearStart(void);
void	test_RoundTripMonthStart(void);
void	test_RoundTripWeekStart(void);
void	test_RoundTripDayStart(void);
void	test_IsoCalYearsToWeeks(void);
void	test_IsoCalWeeksToYearStart(void);
void	test_IsoCalWeeksToYearEnd(void);
void	test_DaySecToDate(void);
void	test_GpsRollOver(void);
void	test_GpsRemapFunny(void);

void	test_GpsNtpFixpoints(void);
void	test_NtpToNtp(void);
void	test_NtpToTime(void);

void	test_CalUMod7(void);
void	test_CalIMod7(void);
void	test_RellezCentury1_1(void);
void	test_RellezCentury3_1(void);
void	test_RellezYearZero(void);


void
setUp(void)
{
	init_lib();

	return;
}


/*
 * ---------------------------------------------------------------------
 * test support stuff
 * ---------------------------------------------------------------------
 */
int
isGT(int first, int second)
{
	if(first > second) {
		return TRUE;
	} else {
		return FALSE;
	}
}

int
leapdays(int year)
{
	if (year % 400 == 0)
		return 1;
	if (year % 100 == 0)
		return 0;
	if (year % 4 == 0)
		return 1;
	return 0;
}

char *
CalendarFromCalToString(
    const struct calendar *cal)
{
	char * str = malloc(sizeof (char) * 100);
	snprintf(str, 100, "%u-%02u-%02u (%u) %02u:%02u:%02u",
		 cal->year, (u_int)cal->month, (u_int)cal->monthday,
		 cal->yearday,
		 (u_int)cal->hour, (u_int)cal->minute, (u_int)cal->second);
	str[99] = '\0'; /* paranoia rulez! */
	return str;
}

char *
CalendarFromIsoToString(
	const struct isodate *iso)
{
	char * str = emalloc (sizeof (char) * 100);
	snprintf(str, 100, "%u-W%02u-%02u %02u:%02u:%02u",
		 iso->year, (u_int)iso->week, (u_int)iso->weekday,
		 (u_int)iso->hour, (u_int)iso->minute, (u_int)iso->second);
	str[99] = '\0'; /* paranoia rulez! */
	return str;
}

int
IsEqualCal(
	const struct calendar *expected,
	const struct calendar *actual)
{
	if (expected->year == actual->year &&
	    (!expected->yearday || expected->yearday == actual->yearday) &&
	    expected->month == actual->month &&
	    expected->monthday == actual->monthday &&
	    expected->hour == actual->hour &&
	    expected->minute == actual->minute &&
	    expected->second == actual->second) {
		return TRUE;
	} else {
		char *p_exp = CalendarFromCalToString(expected);
		char *p_act = CalendarFromCalToString(actual);

		printf("expected: %s but was %s", p_exp, p_act);

		free(p_exp);
		free(p_act);

		return FALSE;
	}
}

int
IsEqualIso(
	const struct isodate *expected,
	const struct isodate *actual)
{
	if (expected->year == actual->year &&
	    expected->week == actual->week &&
	    expected->weekday == actual->weekday &&
	    expected->hour == actual->hour &&
	    expected->minute == actual->minute &&
	    expected->second == actual->second) {
		return TRUE;
	} else {
		printf("expected: %s but was %s",
		       CalendarFromIsoToString(expected),
		       CalendarFromIsoToString(actual));
		return FALSE;
	}
}

char *
DateFromCalToString(
	const struct calendar *cal)
{

	char * str = emalloc (sizeof (char) * 100);
	snprintf(str, 100, "%u-%02u-%02u (%u)",
		 cal->year, (u_int)cal->month, (u_int)cal->monthday,
		 cal->yearday);
	str[99] = '\0'; /* paranoia rulez! */
	return str;
}

char *
DateFromIsoToString(
	const struct isodate *iso)
{

	char * str = emalloc (sizeof (char) * 100);
	snprintf(str, 100, "%u-W%02u-%02u",
		 iso->year, (u_int)iso->week, (u_int)iso->weekday);
	str[99] = '\0'; /* paranoia rulez! */
	return str;
}

int/*BOOL*/
IsEqualDateCal(
	const struct calendar *expected,
	const struct calendar *actual)
{
	if (expected->year == actual->year &&
	    (!expected->yearday || expected->yearday == actual->yearday) &&
	    expected->month == actual->month &&
	    expected->monthday == actual->monthday) {
		return TRUE;
	} else {
		printf("expected: %s but was %s",
		       DateFromCalToString(expected),
		       DateFromCalToString(actual));
		return FALSE;
	}
}

int/*BOOL*/
IsEqualDateIso(
	const struct isodate *expected,
	const struct isodate *actual)
{
	if (expected->year == actual->year &&
	    expected->week == actual->week &&
	    expected->weekday == actual->weekday) {
		return TRUE;
	} else {
		printf("expected: %s but was %s",
		       DateFromIsoToString(expected),
		       DateFromIsoToString(actual));
		return FALSE;
	}
}

static int/*BOOL*/
strToCal(
	struct calendar * jd,
	const char * str
	)
{
	unsigned short y,m,d, H,M,S;

	if (6 == sscanf(str, "%hu-%2hu-%2huT%2hu:%2hu:%2hu",
			&y, &m, &d, &H, &M, &S)) {
		memset(jd, 0, sizeof(*jd));
		jd->year     = y;
		jd->month    = (uint8_t)m;
		jd->monthday = (uint8_t)d;
		jd->hour     = (uint8_t)H;
		jd->minute   = (uint8_t)M;
		jd->second   = (uint8_t)S;

		return TRUE;
	}
	return FALSE;
}

/*
 * ---------------------------------------------------------------------
 * test cases
 * ---------------------------------------------------------------------
 */

/* days before month, with a full-year pad at the upper end */
static const u_short real_month_table[2][13] = {
	/* -*- table for regular years -*- */
	{ 0, 31, 59, 90, 120, 151, 181, 212, 243, 273, 304, 334, 365 },
	/* -*- table for leap years -*- */
	{ 0, 31, 60, 91, 121, 152, 182, 213, 244, 274, 305, 335, 366 }
};

/* days in month, with one month wrap-around at both ends */
static const u_short real_month_days[2][14] = {
	/* -*- table for regular years -*- */
	{ 31, 31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31, 31 },
	/* -*- table for leap years -*- */
	{ 31, 31, 29, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31, 31 }
};

void
test_Constants(void)
{
	int32_t		rdn;
	struct calendar	jdn;

	jdn.year     = 1900;
	jdn.month    = 1;
	jdn.monthday = 1;
	rdn = ntpcal_date_to_rd(&jdn);
	TEST_ASSERT_EQUAL_MESSAGE(DAY_NTP_STARTS, rdn, "(NTP EPOCH)");

	jdn.year     = 1980;
	jdn.month    = 1;
	jdn.monthday = 6;
	rdn = ntpcal_date_to_rd(&jdn);
	TEST_ASSERT_EQUAL_MESSAGE(DAY_GPS_STARTS, rdn, "(GPS EPOCH)");
}

/* test the day/sec join & split ops, making sure that 32bit
 * intermediate results would definitely overflow and the hi DWORD of
 * the 'vint64' is definitely needed.
 */
void
test_DaySplitMerge(void)
{
	int32 day,sec;

	for (day = -1000000; day <= 1000000; day += 100) {
		for (sec = -100000; sec <= 186400; sec += 10000) {
			vint64		merge;
			ntpcal_split	split;
			int32		eday;
			int32		esec;

			merge = ntpcal_dayjoin(day, sec);
			split = ntpcal_daysplit(&merge);
			eday  = day;
			esec  = sec;

			while (esec >= 86400) {
				eday += 1;
				esec -= 86400;
			}
			while (esec < 0) {
				eday -= 1;
				esec += 86400;
			}

			TEST_ASSERT_EQUAL(eday, split.hi);
			TEST_ASSERT_EQUAL(esec, split.lo);
		}
	}

	return;
}

void
test_WeekSplitMerge(void)
{
	int32 wno,sec;

	for (wno = -1000000; wno <= 1000000; wno += 100) {
		for (sec = -100000; sec <= 2*SECSPERWEEK; sec += 10000) {
			vint64		merge;
			ntpcal_split	split;
			int32		ewno;
			int32		esec;

			merge = ntpcal_weekjoin(wno, sec);
			split = ntpcal_weeksplit(&merge);
			ewno  = wno;
			esec  = sec;

			while (esec >= SECSPERWEEK) {
				ewno += 1;
				esec -= SECSPERWEEK;
			}
			while (esec < 0) {
				ewno -= 1;
				esec += SECSPERWEEK;
			}

			TEST_ASSERT_EQUAL(ewno, split.hi);
			TEST_ASSERT_EQUAL(esec, split.lo);
		}
	}

	return;
}

void
test_SplitYearDays1(void)
{
	int32 eyd;

	for (eyd = -1; eyd <= 365; eyd++) {
		ntpcal_split split = ntpcal_split_yeardays(eyd, 0);
		if (split.lo >= 0 && split.hi >= 0) {
			TEST_ASSERT_TRUE(isGT(12,split.hi));
			TEST_ASSERT_TRUE(isGT(real_month_days[0][split.hi+1], split.lo));
			int32 tyd = real_month_table[0][split.hi] + split.lo;
			TEST_ASSERT_EQUAL(eyd, tyd);
		} else
			TEST_ASSERT_TRUE(eyd < 0 || eyd > 364);
	}

	return;
}

void
test_SplitYearDays2(void)
{
	int32 eyd;

	for (eyd = -1; eyd <= 366; eyd++) {
		ntpcal_split split = ntpcal_split_yeardays(eyd, 1);
		if (split.lo >= 0 && split.hi >= 0) {
			/* basic checks do not work on compunds :( */
			/* would like: TEST_ASSERT_TRUE(12 > split.hi); */
			TEST_ASSERT_TRUE(isGT(12,split.hi));
			TEST_ASSERT_TRUE(isGT(real_month_days[1][split.hi+1], split.lo));
			int32 tyd = real_month_table[1][split.hi] + split.lo;
			TEST_ASSERT_EQUAL(eyd, tyd);
		} else
			TEST_ASSERT_TRUE(eyd < 0 || eyd > 365);
		}

	return;
}

void
test_SplitEraDays(void)
{
	int32_t		ed, rd;
	ntpcal_split	sd;
	for (ed = -10000; ed < 1000000; ++ed) {
		sd = ntpcal_split_eradays(ed, NULL);
		rd = ntpcal_days_in_years(sd.hi) + sd.lo;
		TEST_ASSERT_EQUAL(ed, rd);
		TEST_ASSERT_TRUE(0 <= sd.lo && sd.lo <= 365);
	}
}

void
test_SplitEraWeeks(void)
{
	int32_t		ew, rw;
	ntpcal_split	sw;
	for (ew = -10000; ew < 1000000; ++ew) {
		sw = isocal_split_eraweeks(ew);
		rw = isocal_weeks_in_years(sw.hi) + sw.lo;
		TEST_ASSERT_EQUAL(ew, rw);
		TEST_ASSERT_TRUE(0 <= sw.lo && sw.lo <= 52);
	}
}

void
test_RataDie1(void)
{
	int32	 testDate = 1; /* 0001-01-01 (proleptic date) */
	struct calendar expected = { 1, 1, 1, 1 };
	struct calendar actual;

	ntpcal_rd_to_date(&actual, testDate);
	TEST_ASSERT_TRUE(IsEqualDateCal(&expected, &actual));

	return;
}

/* check last day of february for first 10000 years */
void
test_LeapYears1(void)
{
	struct calendar dateIn, dateOut;

	for (dateIn.year = 1; dateIn.year < 10000; ++dateIn.year) {
		dateIn.month	= 2;
		dateIn.monthday = 28 + leapdays(dateIn.year);
		dateIn.yearday	= 31 + dateIn.monthday;

		ntpcal_rd_to_date(&dateOut, ntpcal_date_to_rd(&dateIn));

		TEST_ASSERT_TRUE(IsEqualDateCal(&dateIn, &dateOut));
	}

	return;
}

/* check first day of march for first 10000 years */
void
test_LeapYears2(void)
{
	struct calendar dateIn, dateOut;

	for (dateIn.year = 1; dateIn.year < 10000; ++dateIn.year) {
		dateIn.month	= 3;
		dateIn.monthday = 1;
		dateIn.yearday	= 60 + leapdays(dateIn.year);

		ntpcal_rd_to_date(&dateOut, ntpcal_date_to_rd(&dateIn));
		TEST_ASSERT_TRUE(IsEqualDateCal(&dateIn, &dateOut));
	}

	return;
}

/* check the 'is_leapyear()' implementation for 4400 years */
void
test_LeapYears3(void)
{
	int32_t year;
	int     l1, l2;

	for (year = -399; year < 4000; ++year) {
		l1 = (year % 4 == 0) && ((year % 100 != 0) || (year % 400 == 0));
		l2 = is_leapyear(year);
		snprintf(mbuf, sizeof(mbuf), "y=%d", year);
		TEST_ASSERT_EQUAL_MESSAGE(l1, l2, mbuf);
	}
}

/* Full roundtrip from 1601-01-01 to 2400-12-31
 * checks sequence of rata die numbers and validates date output
 * (since the input is all nominal days of the calendar in that range
 * and the result of the inverse calculation must match the input no
 * invalid output can occur.)
 */
void
test_RoundTripDate(void)
{
	struct calendar truDate, expDate = { 1600, 0, 12, 31 };;
	int	 leaps;
	int32	 truRdn, expRdn	= ntpcal_date_to_rd(&expDate);

	while (expDate.year < 2400) {
		expDate.year++;
		expDate.month	= 0;
		expDate.yearday = 0;
		leaps = leapdays(expDate.year);
		while (expDate.month < 12) {
			expDate.month++;
			expDate.monthday = 0;
			while (expDate.monthday < real_month_days[leaps][expDate.month]) {
				expDate.monthday++;
				expDate.yearday++;
				expRdn++;

				truRdn = ntpcal_date_to_rd(&expDate);
				TEST_ASSERT_EQUAL(expRdn, truRdn);

				ntpcal_rd_to_date(&truDate, truRdn);
				TEST_ASSERT_TRUE(IsEqualDateCal(&expDate, &truDate));
			}
		}
	}

	return;
}

/* Roundtrip testing on calyearstart */
void
test_RoundTripYearStart(void)
{
	static const time_t pivot = 0;
	u_int32 ntp, expys, truys;
	struct calendar date;

	for (ntp = 0; ntp < 0xFFFFFFFFu - 30000000u; ntp += 30000000u) {
		truys = calyearstart(ntp, &pivot);
		ntpcal_ntp_to_date(&date, ntp, &pivot);
		date.month = date.monthday = 1;
		date.hour = date.minute = date.second = 0;
		expys = ntpcal_date_to_ntp(&date);
		TEST_ASSERT_EQUAL(expys, truys);
	}

	return;
}

/* Roundtrip testing on calmonthstart */
void
test_RoundTripMonthStart(void)
{
	static const time_t pivot = 0;
	u_int32 ntp, expms, trums;
	struct calendar date;

	for (ntp = 0; ntp < 0xFFFFFFFFu - 2000000u; ntp += 2000000u) {
		trums = calmonthstart(ntp, &pivot);
		ntpcal_ntp_to_date(&date, ntp, &pivot);
		date.monthday = 1;
		date.hour = date.minute = date.second = 0;
		expms = ntpcal_date_to_ntp(&date);
		TEST_ASSERT_EQUAL(expms, trums);
	}

	return;
}

/* Roundtrip testing on calweekstart */
void
test_RoundTripWeekStart(void)
{
	static const time_t pivot = 0;
	u_int32 ntp, expws, truws;
	struct isodate date;

	for (ntp = 0; ntp < 0xFFFFFFFFu - 600000u; ntp += 600000u) {
		truws = calweekstart(ntp, &pivot);
		isocal_ntp_to_date(&date, ntp, &pivot);
		date.hour = date.minute = date.second = 0;
		date.weekday = 1;
		expws = isocal_date_to_ntp(&date);
		TEST_ASSERT_EQUAL(expws, truws);
	}

	return;
}

/* Roundtrip testing on caldaystart */
void
test_RoundTripDayStart(void)
{
	static const time_t pivot = 0;
	u_int32 ntp, expds, truds;
	struct calendar date;

	for (ntp = 0; ntp < 0xFFFFFFFFu - 80000u; ntp += 80000u) {
		truds = caldaystart(ntp, &pivot);
		ntpcal_ntp_to_date(&date, ntp, &pivot);
		date.hour = date.minute = date.second = 0;
		expds = ntpcal_date_to_ntp(&date);
		TEST_ASSERT_EQUAL(expds, truds);
	}

	return;
}

/* ---------------------------------------------------------------------
 * ISO8601 week calendar internals
 *
 * The ISO8601 week calendar implementation is simple in the terms of
 * the math involved, but the implementation of the calculations must
 * take care of a few things like overflow, floor division, and sign
 * corrections.
 *
 * Most of the functions are straight forward, but converting from years
 * to weeks and from weeks to years warrants some extra tests. These use
 * an independent reference implementation of the conversion from years
 * to weeks.
 * ---------------------------------------------------------------------
 */

/* helper / reference implementation for the first week of year in the
 * ISO8601 week calendar. This is based on the reference definition of
 * the ISO week calendar start: The Monday closest to January,1st of the
 * corresponding year in the Gregorian calendar.
 */
static int32_t
refimpl_WeeksInIsoYears(
	int32_t years)
{
	int32_t days, weeks;

	days = ntpcal_weekday_close(
		ntpcal_days_in_years(years) + 1,
		CAL_MONDAY) - 1;
	/* the weekday functions operate on RDN, while we want elapsed
	 * units here -- we have to add / sub 1 in the midlle / at the
	 * end of the operation that gets us the first day of the ISO
	 * week calendar day.
	 */
	weeks = days / 7;
	days  = days % 7;
	TEST_ASSERT_EQUAL(0, days); /* paranoia check... */

	return weeks;
}

/* The next tests loop over 5000yrs, but should still be very fast. If
 * they are not, the calendar needs a better implementation...
 */
void
test_IsoCalYearsToWeeks(void)
{
	int32_t years;
	int32_t wref, wcal;

	for (years = -1000; years < 4000; ++years) {
		/* get number of weeks before years (reference) */
		wref = refimpl_WeeksInIsoYears(years);
		/* get number of weeks before years (object-under-test) */
		wcal = isocal_weeks_in_years(years);
		TEST_ASSERT_EQUAL(wref, wcal);
	}

	return;
}

void
test_IsoCalWeeksToYearStart(void)
{
	int32_t years;
	int32_t wref;
	ntpcal_split ysplit;

	for (years = -1000; years < 4000; ++years) {
		/* get number of weeks before years (reference) */
		wref = refimpl_WeeksInIsoYears(years);
		/* reverse split */
		ysplit = isocal_split_eraweeks(wref);
		/* check invariants: same year, week 0 */
		TEST_ASSERT_EQUAL(years, ysplit.hi);
		TEST_ASSERT_EQUAL(0, ysplit.lo);
	}

	return;
}

void
test_IsoCalWeeksToYearEnd(void)
{
	int32_t years;
	int32_t wref;
	ntpcal_split ysplit;

	for (years = -1000; years < 4000; ++years) {
		/* get last week of previous year */
		wref = refimpl_WeeksInIsoYears(years) - 1;
		/* reverse split */
		ysplit = isocal_split_eraweeks(wref);
		/* check invariants: previous year, week 51 or 52 */
		TEST_ASSERT_EQUAL(years-1, ysplit.hi);
		TEST_ASSERT(ysplit.lo == 51 || ysplit.lo == 52);
	}

	return;
}

void
test_DaySecToDate(void)
{
	struct calendar cal;
	int32_t days;

	days = ntpcal_daysec_to_date(&cal, -86400);
	TEST_ASSERT_MESSAGE((days==-1 && cal.hour==0 && cal.minute==0 && cal.second==0),
		"failed for -86400");

	days = ntpcal_daysec_to_date(&cal, -86399);
	TEST_ASSERT_MESSAGE((days==-1 && cal.hour==0 && cal.minute==0 && cal.second==1),
		"failed for -86399");

	days = ntpcal_daysec_to_date(&cal, -1);
	TEST_ASSERT_MESSAGE((days==-1 && cal.hour==23 && cal.minute==59 && cal.second==59),
		"failed for -1");

	days = ntpcal_daysec_to_date(&cal, 0);
	TEST_ASSERT_MESSAGE((days==0 && cal.hour==0 && cal.minute==0 && cal.second==0),
		"failed for 0");

	days = ntpcal_daysec_to_date(&cal, 1);
	TEST_ASSERT_MESSAGE((days==0 && cal.hour==0 && cal.minute==0 && cal.second==1),
		"failed for 1");

	days = ntpcal_daysec_to_date(&cal, 86399);
	TEST_ASSERT_MESSAGE((days==0 && cal.hour==23 && cal.minute==59 && cal.second==59),
		"failed for 86399");

	days = ntpcal_daysec_to_date(&cal, 86400);
	TEST_ASSERT_MESSAGE((days==1 && cal.hour==0 && cal.minute==0 && cal.second==0),
		"failed for 86400");

	return;
}

/* --------------------------------------------------------------------
 * unfolding of (truncated) NTP time stamps to full 64bit values.
 *
 * Note: These tests need a 64bit time_t to be useful.
 */

void
test_NtpToNtp(void)
{
#   if SIZEOF_TIME_T <= 4

	TEST_IGNORE_MESSAGE("test only useful for sizeof(time_t) > 4, skipped");

#   else

	static const uint32_t ntp_vals[6] = {
		UINT32_C(0x00000000),
		UINT32_C(0x00000001),
		UINT32_C(0x7FFFFFFF),
		UINT32_C(0x80000000),
		UINT32_C(0x80000001),
		UINT32_C(0xFFFFFFFF)
	};

	static char	lbuf[128];
	vint64		hold;
	time_t		pivot, texp, diff;
	int		loops, iloop;

	pivot = 0;
	for (loops = 0; loops < 16; ++loops) {
		for (iloop = 0; iloop < 6; ++iloop) {
			hold = ntpcal_ntp_to_ntp(
				ntp_vals[iloop], &pivot);
			texp = vint64_to_time(&hold);

			/* constraint 1: texp must be in the
			 * (right-open) intervall [p-(2^31), p+(2^31)[,
			 * but the pivot 'p' must be taken in full NTP
			 * time scale!
			 */
			diff = texp - (pivot + JAN_1970);
			snprintf(lbuf, sizeof(lbuf),
				 "bounds check: piv=%lld exp=%lld dif=%lld",
				 (long long)pivot,
				 (long long)texp,
				 (long long)diff);
			TEST_ASSERT_MESSAGE((diff >= INT32_MIN) && (diff <= INT32_MAX),
					    lbuf);

			/* constraint 2: low word must be equal to
			 * input
			 */
			snprintf(lbuf, sizeof(lbuf),
				 "low check: ntp(in)=$%08lu ntp(out[0:31])=$%08lu",
				 (unsigned long)ntp_vals[iloop],
				 (unsigned long)hold.D_s.lo);
			TEST_ASSERT_EQUAL_MESSAGE(ntp_vals[iloop], hold.D_s.lo, lbuf);
		}
		pivot += 0x20000000;
	}
#   endif
}

void
test_NtpToTime(void)
{
#   if SIZEOF_TIME_T <= 4

	TEST_IGNORE_MESSAGE("test only useful for sizeof(time_t) > 4, skipped");

#   else

	static const uint32_t ntp_vals[6] = {
		UINT32_C(0x00000000),
		UINT32_C(0x00000001),
		UINT32_C(0x7FFFFFFF),
		UINT32_C(0x80000000),
		UINT32_C(0x80000001),
		UINT32_C(0xFFFFFFFF)
	};

	static char	lbuf[128];
	vint64		hold;
	time_t		pivot, texp, diff;
	uint32_t	back;
	int		loops, iloop;

	pivot = 0;
	for (loops = 0; loops < 16; ++loops) {
		for (iloop = 0; iloop < 6; ++iloop) {
			hold = ntpcal_ntp_to_time(
				ntp_vals[iloop], &pivot);
			texp = vint64_to_time(&hold);

			/* constraint 1: texp must be in the
			 * (right-open) intervall [p-(2^31), p+(2^31)[
			 */
			diff = texp - pivot;
			snprintf(lbuf, sizeof(lbuf),
				 "bounds check: piv=%lld exp=%lld dif=%lld",
				 (long long)pivot,
				 (long long)texp,
				 (long long)diff);
			TEST_ASSERT_MESSAGE((diff >= INT32_MIN) && (diff <= INT32_MAX),
					    lbuf);

			/* constraint 2: conversion from full time back
			 * to truncated NTP time must yield same result
			 * as input.
			*/
			back = (uint32_t)texp + JAN_1970;
			snprintf(lbuf, sizeof(lbuf),
				 "modulo check: ntp(in)=$%08lu ntp(out)=$%08lu",
				 (unsigned long)ntp_vals[iloop],
				 (unsigned long)back);
			TEST_ASSERT_EQUAL_MESSAGE(ntp_vals[iloop], back, lbuf);
		}
		pivot += 0x20000000;
	}
#   endif
}

/* --------------------------------------------------------------------
 * GPS rollover
 * --------------------------------------------------------------------
 */
void
test_GpsRollOver(void)
{
	/* we test on wednesday, noon, and on the border */
	static const int32_t wsec1 = 3*SECSPERDAY + SECSPERDAY/2;
	static const int32_t wsec2 = 7 * SECSPERDAY - 1;
	static const int32_t week0 = GPSNTP_WSHIFT + 2047;
	static const int32_t week1 = GPSNTP_WSHIFT + 2048;
	TCivilDate jd;
	TGpsDatum  gps;
	l_fp       fpz;

	ZERO(fpz);

	/* test on 2nd rollover, April 2019
	 * we set the base date properly one week *before the rollover, to
	 * check if the expansion merrily hops over the warp.
	 */
	basedate_set_day(2047 * 7 + NTP_TO_GPS_DAYS);

	strToCal(&jd, "19-04-03T12:00:00");
	gps = gpscal_from_calendar(&jd, fpz);
	TEST_ASSERT_EQUAL_MESSAGE(week0, gps.weeks, "(week test 1))");
	TEST_ASSERT_EQUAL_MESSAGE(wsec1, gps.wsecs, "(secs test 1)");

	strToCal(&jd, "19-04-06T23:59:59");
	gps = gpscal_from_calendar(&jd, fpz);
	TEST_ASSERT_EQUAL_MESSAGE(week0, gps.weeks, "(week test 2)");
	TEST_ASSERT_EQUAL_MESSAGE(wsec2, gps.wsecs, "(secs test 2)");

	strToCal(&jd, "19-04-07T00:00:00");
	gps = gpscal_from_calendar(&jd, fpz);
	TEST_ASSERT_EQUAL_MESSAGE(week1, gps.weeks, "(week test 3)");
	TEST_ASSERT_EQUAL_MESSAGE(  0 , gps.wsecs, "(secs test 3)");

	strToCal(&jd, "19-04-10T12:00:00");
	gps = gpscal_from_calendar(&jd, fpz);
	TEST_ASSERT_EQUAL_MESSAGE(week1, gps.weeks, "(week test 4)");
	TEST_ASSERT_EQUAL_MESSAGE(wsec1, gps.wsecs, "(secs test 4)");
}

void
test_GpsRemapFunny(void)
{
	TCivilDate di, dc, de;
	TGpsDatum  gd;

	l_fp       fpz;

	ZERO(fpz);
	basedate_set_day(2048 * 7 + NTP_TO_GPS_DAYS);

	/* expand 2digit year to 2080, then fold back into 3rd GPS era: */
	strToCal(&di, "80-01-01T00:00:00");
	strToCal(&de, "2021-02-15T00:00:00");
	gd = gpscal_from_calendar(&di, fpz);
	gpscal_to_calendar(&dc, &gd);
	TEST_ASSERT_TRUE(IsEqualCal(&de, &dc));

	/* expand 2digit year to 2080, then fold back into 3rd GPS era: */
	strToCal(&di, "80-01-05T00:00:00");
	strToCal(&de, "2021-02-19T00:00:00");
	gd = gpscal_from_calendar(&di, fpz);
	gpscal_to_calendar(&dc, &gd);
	TEST_ASSERT_TRUE(IsEqualCal(&de, &dc));

	/* remap days before epoch into 3rd era: */
	strToCal(&di, "1980-01-05T00:00:00");
	strToCal(&de, "2038-11-20T00:00:00");
	gd = gpscal_from_calendar(&di, fpz);
	gpscal_to_calendar(&dc, &gd);
	TEST_ASSERT_TRUE(IsEqualCal(&de, &dc));

	/* remap GPS epoch: */
	strToCal(&di, "1980-01-06T00:00:00");
	strToCal(&de, "2019-04-07T00:00:00");
	gd = gpscal_from_calendar(&di, fpz);
	gpscal_to_calendar(&dc, &gd);
	TEST_ASSERT_TRUE(IsEqualCal(&de, &dc));
}

void
test_GpsNtpFixpoints(void)
{
	basedate_set_day(NTP_TO_GPS_DAYS);
	TGpsDatum e1gps;
	TNtpDatum e1ntp, r1ntp;
	l_fp      lfpe , lfpr;

	lfpe.l_ui = 0;
	lfpe.l_uf = UINT32_C(0x80000000);

	ZERO(e1gps);
	e1gps.weeks = 0;
	e1gps.wsecs = SECSPERDAY;
	e1gps.frac  = UINT32_C(0x80000000);

	ZERO(e1ntp);
	e1ntp.frac  = UINT32_C(0x80000000);

	r1ntp = gpsntp_from_gpscal(&e1gps);
	TEST_ASSERT_EQUAL_MESSAGE(e1ntp.days, r1ntp.days, "gps -> ntp / days");
	TEST_ASSERT_EQUAL_MESSAGE(e1ntp.secs, r1ntp.secs, "gps -> ntp / secs");
	TEST_ASSERT_EQUAL_MESSAGE(e1ntp.frac, r1ntp.frac, "gps -> ntp / frac");

	lfpr = ntpfp_from_gpsdatum(&e1gps);
	snprintf(mbuf, sizeof(mbuf), "gps -> l_fp: %s <=> %s",
		 lfptoa(&lfpe, 9), lfptoa(&lfpr, 9));
	TEST_ASSERT_TRUE_MESSAGE(L_ISEQU(&lfpe, &lfpr), mbuf);

	lfpr = ntpfp_from_ntpdatum(&e1ntp);
	snprintf(mbuf, sizeof(mbuf), "ntp -> l_fp: %s <=> %s",
		 lfptoa(&lfpe, 9), lfptoa(&lfpr, 9));
	TEST_ASSERT_TRUE_MESSAGE(L_ISEQU(&lfpe, &lfpr), mbuf);
}

void
test_CalUMod7(void)
{
	TEST_ASSERT_EQUAL(0, u32mod7(0));
	TEST_ASSERT_EQUAL(1, u32mod7(INT32_MAX));
	TEST_ASSERT_EQUAL(2, u32mod7(UINT32_C(1)+INT32_MAX));
	TEST_ASSERT_EQUAL(3, u32mod7(UINT32_MAX));
}

void
test_CalIMod7(void)
{
	TEST_ASSERT_EQUAL(5, i32mod7(INT32_MIN));
	TEST_ASSERT_EQUAL(6, i32mod7(-1));
	TEST_ASSERT_EQUAL(0, i32mod7(0));
	TEST_ASSERT_EQUAL(1, i32mod7(INT32_MAX));
}

/* Century expansion tests. Reverse application of Zeller's congruence,
 * sort of... hence the name "Rellez", Zeller backwards. Just in case
 * you didn't notice ;)
 */

void
test_RellezCentury1_1(void)
{
	/* 1st day of a century */
	TEST_ASSERT_EQUAL(1901, ntpcal_expand_century( 1, 1, 1, CAL_TUESDAY  ));
	TEST_ASSERT_EQUAL(2001, ntpcal_expand_century( 1, 1, 1, CAL_MONDAY   ));
	TEST_ASSERT_EQUAL(2101, ntpcal_expand_century( 1, 1, 1, CAL_SATURDAY ));
	TEST_ASSERT_EQUAL(2201, ntpcal_expand_century( 1, 1, 1, CAL_THURSDAY ));
	/* bad/impossible cases: */
	TEST_ASSERT_EQUAL(   0, ntpcal_expand_century( 1, 1, 1, CAL_WEDNESDAY));
	TEST_ASSERT_EQUAL(   0, ntpcal_expand_century( 1, 1, 1, CAL_FRIDAY   ));
	TEST_ASSERT_EQUAL(   0, ntpcal_expand_century( 1, 1, 1, CAL_SUNDAY   ));
}

void
test_RellezCentury3_1(void)
{
	/* 1st day in March of a century (the tricky point) */
	TEST_ASSERT_EQUAL(1901, ntpcal_expand_century( 1, 3, 1, CAL_FRIDAY   ));
	TEST_ASSERT_EQUAL(2001, ntpcal_expand_century( 1, 3, 1, CAL_THURSDAY ));
	TEST_ASSERT_EQUAL(2101, ntpcal_expand_century( 1, 3, 1, CAL_TUESDAY  ));
	TEST_ASSERT_EQUAL(2201, ntpcal_expand_century( 1, 3, 1, CAL_SUNDAY   ));
	/* bad/impossible cases: */
	TEST_ASSERT_EQUAL(   0, ntpcal_expand_century( 1, 3, 1, CAL_MONDAY   ));
	TEST_ASSERT_EQUAL(   0, ntpcal_expand_century( 1, 3, 1, CAL_WEDNESDAY));
	TEST_ASSERT_EQUAL(   0, ntpcal_expand_century( 1, 3, 1, CAL_SATURDAY ));
}

void
test_RellezYearZero(void)
{
	/* the infamous year zero */
	TEST_ASSERT_EQUAL(1900, ntpcal_expand_century( 0, 1, 1, CAL_MONDAY   ));
	TEST_ASSERT_EQUAL(2000, ntpcal_expand_century( 0, 1, 1, CAL_SATURDAY ));
	TEST_ASSERT_EQUAL(2100, ntpcal_expand_century( 0, 1, 1, CAL_FRIDAY   ));
	TEST_ASSERT_EQUAL(2200, ntpcal_expand_century( 0, 1, 1, CAL_WEDNESDAY));
	/* bad/impossible cases: */
	TEST_ASSERT_EQUAL(   0, ntpcal_expand_century( 0, 1, 1, CAL_TUESDAY  ));
	TEST_ASSERT_EQUAL(   0, ntpcal_expand_century( 0, 1, 1, CAL_THURSDAY ));
	TEST_ASSERT_EQUAL(   0, ntpcal_expand_century( 0, 1, 1, CAL_SUNDAY   ));
}

void test_RellezEra(void);
void test_RellezEra(void)
{
	static const unsigned int mt[13] = { 0, 31,28,31,30,31,30,31,31,30,31,30,31 };
	unsigned int yi, yo, m, d, wd;

	/* last day before our era -- fold forward */
	yi = 1899;
	m  = 12;
	d  = 31;
	wd = ntpcal_edate_to_eradays(yi-1, m-1, d-1) % 7 + 1;
	yo = ntpcal_expand_century((yi%100), m, d, wd);
	snprintf(mbuf, sizeof(mbuf), "failed, di=%04u-%02u-%02u, wd=%u",
		 yi, m, d, wd);
	TEST_ASSERT_EQUAL_MESSAGE(2299, yo, mbuf);

	/* 1st day after our era -- fold back */
	yi = 2300;
	m  = 1;
	d  = 1;
	wd = ntpcal_edate_to_eradays(yi-1, m-1, d-1) % 7 + 1;
	yo = ntpcal_expand_century((yi%100), m, d, wd);
	snprintf(mbuf, sizeof(mbuf), "failed, di=%04u-%02u-%02u, wd=%u",
		 yi, m, d, wd);
	TEST_ASSERT_EQUAL_MESSAGE(1900, yo, mbuf);

	/* test every month in our 400y era */
	for (yi = 1900; yi < 2300; ++yi) {
		for (m = 1; m < 12; ++m) {
			/* test first day of month */
			d = 1;
			wd = ntpcal_edate_to_eradays(yi-1, m-1, d-1) % 7 + 1;
			yo = ntpcal_expand_century((yi%100), m, d, wd);
			snprintf(mbuf, sizeof(mbuf), "failed, di=%04u-%02u-%02u, wd=%u",
				 yi, m, d, wd);
			TEST_ASSERT_EQUAL_MESSAGE(yi, yo, mbuf);

			/* test last day of month */
			d = mt[m] + (m == 2 && is_leapyear(yi));
			wd = ntpcal_edate_to_eradays(yi-1, m-1, d-1) % 7 + 1;
			yo = ntpcal_expand_century((yi%100), m, d, wd);
			snprintf(mbuf, sizeof(mbuf), "failed, di=%04u-%02u-%02u, wd=%u",
				 yi, m, d, wd);
			TEST_ASSERT_EQUAL_MESSAGE(yi, yo, mbuf);
		}
	}
}

/* This is nearly a verbatim copy of the in-situ implementation of
 * Zeller's congruence in libparse/clk_rawdcf.c, so the algorithm
 * can be tested.
 */
static int
zeller_expand(
        unsigned int  y,
        unsigned int  m,
        unsigned int  d,
	unsigned int  wd
	)
{
	unsigned int  c;

        if ((y >= 100u) || (--m >= 12u) || (--d >= 31u) || (--wd >= 7u))
		return 0;

	if ((m += 10u) >= 12u)
		m -= 12u;
	else if (--y >= 100u)
		y += 100u;
	d += y + (y >> 2) + 2u;
	d += (m * 83u + 16u) >> 5;

	c = (((252u + wd - d) * 0x6db6db6eU) >> 29) & 7u;
	if (c > 3u)
		return 0;

	if ((m > 9u) && (++y >= 100u)) {
		y -= 100u;
		c = (c + 1) & 3u;
	}
	y += (c * 100u);
	y += (y < 370u) ? 2000 : 1600;
	return (int)y;
}

void test_zellerDirect(void);
void test_zellerDirect(void)
{
	static const unsigned int mt[13] = { 0, 31,28,31,30,31,30,31,31,30,31,30,31 };
	unsigned int yi, yo, m, d, wd;

	/* last day before our era -- fold forward */
	yi = 1969;
	m  = 12;
	d  = 31;
	wd = ntpcal_edate_to_eradays(yi-1, m-1, d-1) % 7 + 1;
	yo = zeller_expand((yi%100), m, d, wd);
	snprintf(mbuf, sizeof(mbuf), "failed, di=%04u-%02u-%02u, wd=%u",
		 yi, m, d, wd);
	TEST_ASSERT_EQUAL_MESSAGE(2369, yo, mbuf);

	/* 1st day after our era -- fold back */
	yi = 2370;
	m  = 1;
	d  = 1;
	wd = ntpcal_edate_to_eradays(yi-1, m-1, d-1) % 7 + 1;
	yo = zeller_expand((yi%100), m, d, wd);
	snprintf(mbuf, sizeof(mbuf), "failed, di=%04u-%02u-%02u, wd=%u",
		 yi, m, d, wd);
	TEST_ASSERT_EQUAL_MESSAGE(1970, yo, mbuf);

	/* test every month in our 400y era */
	for (yi = 1970; yi < 2370; ++yi) {
		for (m = 1; m < 12; ++m) {
			/* test first day of month */
			d = 1;
			wd = ntpcal_edate_to_eradays(yi-1, m-1, d-1) % 7 + 1;
			yo = zeller_expand((yi%100), m, d, wd);
			snprintf(mbuf, sizeof(mbuf), "failed, di=%04u-%02u-%02u, wd=%u",
				 yi, m, d, wd);
			TEST_ASSERT_EQUAL_MESSAGE(yi, yo, mbuf);

			/* test last day of month */
			d = mt[m] + (m == 2 && is_leapyear(yi));
			wd = ntpcal_edate_to_eradays(yi-1, m-1, d-1) % 7 + 1;
			yo = zeller_expand((yi%100), m, d, wd);
			snprintf(mbuf, sizeof(mbuf), "failed, di=%04u-%02u-%02u, wd=%u",
				 yi, m, d, wd);
			TEST_ASSERT_EQUAL_MESSAGE(yi, yo, mbuf);
		}
	}
}

void test_ZellerDirectBad(void);
void test_ZellerDirectBad(void)
{
	unsigned int y, n, wd;
	for (y = 2001; y < 2101; ++y) {
		wd = ntpcal_edate_to_eradays(y-1, 0, 0) % 7 + 1;
		/* move 4 centuries ahead */
		wd = (wd + 5) % 7 + 1;
		for (n = 0; n < 3; ++n) {
			TEST_ASSERT_EQUAL(0, zeller_expand((y%100), 1, 1, wd));
			wd = (wd + 4) % 7 + 1;
		}
	}
}

void test_zellerModInv(void);
void test_zellerModInv(void)
{
	unsigned int i, r1, r2;

	for (i = 0; i < 2048; ++i) {
		r1 = (3 * i) % 7;
		r2 = ((i * 0x6db6db6eU) >> 29) & 7u;
		snprintf(mbuf, sizeof(mbuf), "i=%u", i);
		TEST_ASSERT_EQUAL_MESSAGE(r1, r2, mbuf);
	}
}