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gwtest.c
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/*----------------------------------------------------------------------
| Copyright 1995-2023 Mersenne Research, Inc. All rights reserved
|
| This file contains routines to QA the gwnum FFT routines.
| QA can be activated by using Advanced/Time menu choice on exponent 9900.
+---------------------------------------------------------------------*/
/* TODO: test larger values of mul-by-const */
/* all_impl should work on small ffts by using the next large fft size */
/* to do the comparison (and/or x87) */
/* Generate a random k of the given size */
double gen_k (int bits)
{
double k;
int i;
/* To reduce number of generic reductions due to gcd (k,c) > 1, only */
/* return small k values not divisible by 3, 5, and 7 */
do {
k = 1.0;
for (i = bits; --i; )
k = k * 2.0 + ((i == 1) ? 1 : (rand () & 1));
} while (k > 7.0 && k < 4000000000.0 &&
((unsigned long) k % 3 == 0 ||
(unsigned long) k % 5 == 0 ||
(unsigned long) k % 7 == 0));
return (k);
}
/* Generate a random c of the given size */
int gen_c (int bits)
{
int c, i;
/* To reduce number of generic reductions due to gcd (k,c) > 1, only */
/* return c values not divisible by 3, 5, and 7 */
do {
c = 1;
for (i = bits; --i; )
c = c * 2 + ((i == 1) ? 1 : (rand () & 1));
} while (c > 7 && (c % 3 == 0 || c % 5 == 0 || c % 7 == 0));
if (rand () & 1) c = -c;
return (c);
}
/* Generate a random b */
unsigned int gen_b ()
{
unsigned int MIN_B, MAX_B;
unsigned int min_b_bits, max_b_bits, range_b_bits;
unsigned int b, bbits;
/* Get control variables */
MIN_B = IniSectionGetInt (INI_FILE, "QA", "MIN_B", 2);
MAX_B = IniSectionGetInt (INI_FILE, "QA", "MAX_B", 2);
/* Compute number of bits to generate */
/* Note: 1/log(2) = 1.442695040888963407 */
min_b_bits = (unsigned int)
floor (log ((double) MIN_B) * 1.442695040888963407);
max_b_bits = (unsigned int)
ceil (log ((double) MAX_B) * 1.442695040888963407);
range_b_bits = max_b_bits - min_b_bits + 1;
/* Loop until we successfully create an b value in the desired range */
do {
bbits = (unsigned int) rand () % range_b_bits + min_b_bits;
b = 1;
while (bbits--) b = b * 2 + (rand () & 1);
} while (b < MIN_B || b > MAX_B);
/* Return our random b value */
return (b);
}
/* Generate a random n */
unsigned int gen_n ()
{
unsigned int MIN_N, MAX_N;
unsigned int min_n_bits, max_n_bits, range_n_bits;
unsigned int n, nbits;
/* Get control variables */
MIN_N = IniSectionGetInt (INI_FILE, "QA", "MIN_N", 250);
MAX_N = IniSectionGetInt (INI_FILE, "QA", "MAX_N", 70000000);
/* Compute number of bits to generate */
/* Note: 1/log(2) = 1.442695040888963407 */
min_n_bits = (unsigned int)
floor (log ((double) MIN_N) * 1.442695040888963407);
max_n_bits = (unsigned int)
ceil (log ((double) MAX_N) * 1.442695040888963407);
range_n_bits = max_n_bits - min_n_bits + 1;
/* Loop until we successfully create an n value in the desired range */
do {
nbits = (unsigned int) rand () % range_n_bits + min_n_bits;
n = 1;
while (nbits--) n = n * 2 + (rand () & 1);
} while (n < MIN_N || n > MAX_N);
/* Return our random n value */
return (n);
}
/* Compare gwnum to a giant */
static int compare_counter = 0;
static char *compare_failure_text = NULL;
void compare (int thread_num, gwhandle *gwdata, gwnum x, giant g)
{
giant tmp;
int i;
if (gwdata->POSTFFT) return; // We cannot compare if we've started next forward FFT
compare_counter++;
tmp = popg (&gwdata->gdata, ((int) gwdata->bit_length >> 5) + 13);
gwtogiant (gwdata, x, tmp);
if (gcompg (g, tmp) != 0) {
gwnum y = gwalloc (gwdata);
char test_desc[200], msg[300];
if (compare_failure_text == NULL) sprintf (test_desc, "Compare #%d", compare_counter);
else strcpy (test_desc, compare_failure_text);
if (gw_get_maxerr (gwdata) < 0.49) sprintf (msg, "Test (%s) failed.\n", test_desc);
else sprintf (msg, "Test (%s) failed - probably due to roundoff error\n", test_desc);
OutputBoth (thread_num, msg);
gianttogw (gwdata, g, y);
if (IniSectionGetInt (INI_FILE, "QA", "DUMP_DIFF", 0)) { // Sometimes we must debug by finding which FFT words are different
int count, max_count;
count = 0;
max_count = IniSectionGetInt (INI_FILE, "QA", "DUMP_DIFF", 50);
for (i = 0; i < (int) gwdata->FFTLEN && count < max_count; i++) {
long val, val2;
get_fft_value (gwdata, x, i, &val);
get_fft_value (gwdata, y, i, &val2);
if (val != val2) {
char buf[90];
sprintf (buf, "Mismatch word: %d was: %ld sb: %ld\n", i, val, val2);
OutputBoth (thread_num, buf);
count++;
}
}
}
if (IniSectionGetInt (INI_FILE, "QA", "CORRECT_DIFF", 1)) gwcopy (gwdata, y, x);
gwfree (gwdata, y);
}
if (0) { // Test for doubles that aren't properly normalized
long val, bigval;
bigval = 1 << gwdata->NUM_B_PER_SMALL_WORD;
for (i = 0; i < (int) gwdata->FFTLEN; i++) {
get_fft_value (gwdata, x, i, &val);
if (val < -bigval || val > bigval)
OutputBoth (thread_num, "oflow.\n");
}
}
pushg (&gwdata->gdata, 1);
}
void compare_with_text (int thread_num, gwhandle *gwdata, gwnum x, giant g, char *fail_msg)
{
compare_failure_text = fail_msg;
compare (thread_num, gwdata, x, g);
compare_failure_text = NULL;
}
void compare_with_text_and_int (int thread_num, gwhandle *gwdata, gwnum x, giant g, char *fail_msg, int fail_num)
{
char buf[100];
sprintf (buf, "%s #%d", fail_msg, fail_num);
compare_with_text (thread_num, gwdata, x, g, buf);
}
/* Generate random data to start the test */
void gen_data (gwhandle *gwdata, gwnum x, giant g)
{
unsigned long i, len;
int seed;
char buf[100];
/* Set and output seed so that we can re-generate the random data */
seed = IniSectionGetInt (INI_FILE, "QA", "SPECIFIC_SEED", (int) time (NULL) + rand ());
srand (seed);
sprintf (buf, "Random seed is %d\n", seed);
writeResults (buf);
/* Generate the random number */
len = (((unsigned long) gwdata->bit_length) >> 5) + 1;
for (i = 0; i < len; i++) {
g->n[i] = ((unsigned long) rand() << 20) +
((unsigned long) rand() << 10) +
(unsigned long) rand();
}
// len = 1; g->n[0] = 30000;
g->sign = len;
// Read an LLR cert file
int fd = _open ("foo", _O_BINARY | _O_RDONLY);
if (fd > 0) {
_read (fd, g->n, 16); //ignore 16 bytes
_read (fd, &len, 4); //length in bytes
_read (fd, g->n, len); //data
memset ((char*) g->n + len, 0, 8);
g->sign = divide_rounding_up (len, 4);
}
#ifdef XXX
ultog (gwdata->b, g);
power (g, gwdata->n);
dblmulg (gwdata->k, g);
iaddg (gwdata->c, g);
mpz_t __N, __f;
mpz_init (__N);
gtompz (g, __N);
mpz_init_set_ui (__f, 3);
// mpz_invert (__f, __f, __N);
mpztog (__f, g);
mpz_clear (__N);
mpz_clear (__f);
#endif
#ifdef YYYY
mpz_t __N;
mpz_init_set_str (__N,
"940298595550113209437044880150400782041500126558160757273039748840761654374277758643017009845641260178773718460021731045549833766269150463259915966750844168464904734881875009550500964490196501797797924415086495515182931",
10);
mpztog (__N, g);
mpz_clear (__N);
#endif
// Convert to gwnum
specialmodg (gwdata, g);
gianttogw (gwdata, g, x);
}
/* Set and print random seed */
void set_seed (
int thread_num)
{
int seed;
// char buf[100];
seed = (int) time (NULL);
srand (seed + thread_num);
// sprintf (buf, "Random seed is %ld\n", seed);
// OutputBoth (thread_num, buf);
}
/* Thoroughly test the current setup. This is just like test_it except */
/* that rather than using giants code to test the results, we compare */
/* the final result to every possible FFT implementation for this FFT */
/* length. This is useful in that more FFT code is tested, the tests are */
/* faster -- especially in the really large FFT cases where giants is not */
/* practical. */
void test_it_all (
int thread_num, /* Worker number */
struct PriorityInfo *sp_info, /* SetPriority information */
double k,
unsigned long b,
unsigned long n,
signed long c,
int threads)
{
gwhandle gwdata;
gwnum x, x2, x3, x4;
giant g, g2, g3;
int i, ii, res, nth_fft, num_squarings;
char buf[256], fft_desc[200];
/* Init */
g = g2 = g3 = NULL;
num_squarings = IniSectionGetInt (INI_FILE, "QA", "NUM_SQUARINGS", 50);
/* Loop over both x87 and SSE2 implementations. Pass 1 does x87 FFTs */
/* on SSE2 machines. Pass 2 does the SSE2 FFTs. Pass 3 does AVX FFTs. */
for (ii = 1; ii <= 3; ii++) {
int cpu_flags;
cpu_flags = CPU_FLAGS;
if (ii == 1) {
#ifdef X86_64
continue;
#else
cpu_flags &= ~(CPU_AVX | CPU_SSE2);
#endif
}
if (ii == 2) {
if (! (cpu_flags & CPU_SSE2)) continue;
cpu_flags &= ~CPU_AVX;
}
if (ii == 3) {
if (! (cpu_flags & CPU_AVX)) continue;
}
/* Loop over all possible FFT implementations */
nth_fft = 1;
for ( ; ; ) {
gwinit (&gwdata);
gwset_num_threads (&gwdata, threads);
gwset_thread_callback (&gwdata, SetAuxThreadPriority);
gwset_thread_callback_data (&gwdata, sp_info);
gwdata.cpu_flags = cpu_flags;
gwdata.qa_pick_nth_fft = nth_fft;
res = gwsetup (&gwdata, k, b, n, c);
nth_fft = gwdata.qa_picked_nth_fft;
if (res) break;
/* Output a startup message */
gwfft_description (&gwdata, fft_desc);
sprintf (buf, "QA of %s using %s\n", gwmodulo_as_string (&gwdata), fft_desc);
OutputBoth (thread_num, buf);
/* Alloc and init numbers */
x = gwalloc (&gwdata);
if (x == NULL) goto nomem;
x2 = gwalloc (&gwdata);
if (x2 == NULL) goto nomem;
x3 = gwalloc (&gwdata);
if (x3 == NULL) goto nomem;
x4 = gwalloc (&gwdata);
if (x4 == NULL) goto nomem;
if (g == NULL) {
g = allocgiant (((unsigned long) gwdata.bit_length >> 5) + 10);
if (g == NULL) goto nomem;
gen_data (&gwdata, x, g);
} else
gianttogw (&gwdata, g, x);
/* Test 50 squarings */
gwcopy (&gwdata, x, x2);
gwsetnormroutine (&gwdata, 0, 1, 0); /* Enable error checking */
for (i = 0; i < num_squarings; i++) {
/* Test POSTFFT sometimes */
gwstartnextfft (&gwdata, (i & 3) == 2);
/* Test gwsetaddin without and with POSTFFT set */
if (i == 45 || i == 46) gwsetaddin (&gwdata, -31);
/* Test several different ways to square a number */
if (i >= 4 && i <= 7) {
gwfft (&gwdata, x, x);
gwfftfftmul (&gwdata, x, x, x);
} else if (i >= 12 && i <= 15) {
gwfft (&gwdata, x, x3);
gwfftmul (&gwdata, x3, x);
} else if (i >= 20 && i <= 23) {
gwfft (&gwdata, x, x3);
gwcopy (&gwdata, x3, x4);
gwfftfftmul (&gwdata, x3, x4, x);
} else if (i >= 28 && i <= 31) { // Test new gwmul3 option (gwfftmul with s2 != d)
gwfft (&gwdata, x, x3);
if (i & 1) gwmul3 (&gwdata, x, x3, x4, 0);
else gwmul3 (&gwdata, x3, x, x4, 0);
gwcopy (&gwdata, x4, x);
} else
gwsquare (&gwdata, x);
if (i == 45 || i == 46) gwsetaddin (&gwdata, 0);
}
sprintf (buf, "Squares complete. MaxErr=%.10g\n", gw_get_maxerr (&gwdata));
OutputBoth (thread_num, buf);
/* Test mul by const */
gwsetmulbyconst (&gwdata, 3);
gwsetnormroutine (&gwdata, 0, 1, 1);
gwsquare (&gwdata, x);
gwsetnormroutine (&gwdata, 0, 1, 0);
/* Test square and mul carefully */
gwfree (&gwdata, x3); gwfree (&gwdata, x4);
gwsetaddin (&gwdata, -42);
gwsquare_carefully (&gwdata, x);
gwmul_carefully (&gwdata, x, x);
gwfree_internal_memory (&gwdata); // Free GW_RANDOM
gwsetaddin (&gwdata, 0);
/* Test gwaddquick, gwsubquick */
x3 = gwalloc (&gwdata); if (x3 == NULL) goto nomem;
x4 = gwalloc (&gwdata); if (x4 == NULL) goto nomem;
gwadd3quick (&gwdata, x, x2, x3);
gwsub3quick (&gwdata, x, x2, x4);
/* Test gwadd and gwsub */
gwadd (&gwdata, x, x); gwadd (&gwdata, x, x); gwadd (&gwdata, x, x);
gwsub (&gwdata, x3, x);
gwadd (&gwdata, x4, x);
gwadd3 (&gwdata, x3, x4, x2);
gwsub3 (&gwdata, x3, x, x4);
gwadd (&gwdata, x2, x);
gwadd (&gwdata, x4, x);
/* Test gwaddsub */
gwaddsub (&gwdata, x, x2); // compute x+x2 and x-x2
gwaddsub4 (&gwdata, x, x2, x3, x4); // compute x+x2 and x-x2
gwadd (&gwdata, x2, x);
gwadd (&gwdata, x3, x);
gwadd (&gwdata, x4, x);
/* Test gwsmalladd and gwsmallmul */
gwsmalladd (&gwdata, 0x7FFFFFFFFFFFFFFFLL, x);
gwsmallmul (&gwdata, GWSMALLMUL_MAX-1.0, x);
/* Do some multiplies to make sure that the adds and subtracts above normalized properly. */
gwfft (&gwdata, x, x);
gwfftfftmul (&gwdata, x, x, x);
gwfft (&gwdata, x, x2); gwcopy (&gwdata, x2, x); gwfftadd3 (&gwdata, x, x2, x4);
gwfftmul (&gwdata, x4, x3);
gwfft (&gwdata, x3, x4);
gwfftfftmul (&gwdata, x4, x2, x);
/* Test gwmul4 routines */
gwsquare2 (&gwdata, x, x2, 0);
gwsquare2 (&gwdata, x2, x3, 0);
gwaddmul4 (&gwdata, x2, x3, x, x, 0);
gwsubmul4 (&gwdata, x2, x3, x, x, 0);
gwfft (&gwdata, x, x);
gwaddmul4 (&gwdata, x2, x3, x, x, 0);
gwfft (&gwdata, x, x);
gwsubmul4 (&gwdata, x2, x3, x, x, 0);
/* Print final stats */
if (gwdata.GWERROR) OutputBoth (thread_num, "GWERROR set during calculations.\n");
sprintf (buf, "Test complete. MaxErr=%.10g\n", gw_get_maxerr (&gwdata));
OutputBoth (thread_num, buf);
/* Free some space (so that gwtogiant can use it for temporaries) */
gwfree (&gwdata, x2);
gwfree (&gwdata, x3);
gwfree (&gwdata, x4);
/* Do the final compare */
if (g2 == NULL) {
g2 = allocgiant (((unsigned long) gwdata.bit_length >> 5) + 10);
if (g2 == NULL) goto nomem;
gwtogiant (&gwdata, x, g2);
} else {
g3 = allocgiant (((unsigned long) gwdata.bit_length >> 5) + 10);
if (g3 == NULL) goto nomem;
gwtogiant (&gwdata, x, g3);
if (gcompg (g2, g3)) {
strcpy (buf, "Mismatched result.\n");
OutputBoth (thread_num, buf);
} else {
strcpy (buf, "Results match!\n");
OutputBoth (thread_num, buf);
}
free (g3);
}
OutputBoth (thread_num, "\n");
/* Do next FFT implementation */
gwdone (&gwdata);
}
}
bye: free (g);
free (g2);
return;
nomem: OutputBoth (thread_num, "Out of memory\n");
gwdone (&gwdata);
goto bye;
}
/* Thoroughly test the current setup */
void test_it (
int thread_num, /* Worker number */
gwhandle *gwdata)
{
gwnum x, x2, x3, x4, x5;
giant g, g2, g3, g4;
int i, num_squarings, num_inverses, stop_reason;
char buf[200];
int SQUARE_ONLY, CHECK_OFTEN;
/* Get control variables */
SQUARE_ONLY = IniSectionGetInt (INI_FILE, "QA", "SQUARE_ONLY", 0);
CHECK_OFTEN = IniSectionGetInt (INI_FILE, "QA", "CHECK_OFTEN", 0);
num_squarings = IniSectionGetInt (INI_FILE, "QA", "NUM_SQUARINGS", 50);
num_inverses = IniSectionGetInt (INI_FILE, "QA", "NUM_INVERSES", 0);
compare_counter = 0;
/* Alloc numbers */
x = gwalloc (gwdata);
x2 = gwalloc (gwdata);
x3 = gwalloc (gwdata);
x4 = gwalloc (gwdata);
x5 = gwalloc (gwdata);
g = popg (&gwdata->gdata, ((unsigned long) gwdata->bit_length >> 4) + 20);
g2 = popg (&gwdata->gdata, ((unsigned long) gwdata->bit_length >> 4) + 20);
g3 = popg (&gwdata->gdata, ((unsigned long) gwdata->bit_length >> 4) + 20);
g4 = popg (&gwdata->gdata, ((unsigned long) gwdata->bit_length >> 4) + 20);
/* Test single, double, and triple FFT words. Handy when first developing an FFT. */
if (IniSectionGetInt (INI_FILE, "QA", "SingleWordTests", 0)) {
gwsetnormroutine (gwdata, 0, 1, 0); /* Enable error checking */
for (i = 0; i < (int) (gwdata->ZERO_PADDED_FFT ? gwdata->FFTLEN / 2 + 1 : gwdata->FFTLEN); i++) {
dbltogw (gwdata, 0.0, x);
set_fft_value (gwdata, x, i, 5000);
gwtogiant (gwdata, x, g);
gwsquare (gwdata, x);
squaregi (&gwdata->gdata, g);
specialmodg (gwdata, g);
compare (thread_num, gwdata, x, g);
}
for (i = 0; i < (int) (gwdata->ZERO_PADDED_FFT ? gwdata->FFTLEN / 2 : gwdata->FFTLEN - 1); i++) {
dbltogw (gwdata, 0.0, x);
set_fft_value (gwdata, x, i, 5000);
set_fft_value (gwdata, x, i+1, 3000);
gwtogiant (gwdata, x, g);
gwsquare (gwdata, x);
squaregi (&gwdata->gdata, g);
specialmodg (gwdata, g);
compare (thread_num, gwdata, x, g);
}
for (i = 0; i < (int) (gwdata->ZERO_PADDED_FFT ? gwdata->FFTLEN / 2 - 1 : gwdata->FFTLEN - 2); i++) {
dbltogw (gwdata, 0.0, x);
set_fft_value (gwdata, x, i, 5000);
set_fft_value (gwdata, x, i+1, 3000);
set_fft_value (gwdata, x, i+2, 1000);
gwtogiant (gwdata, x, g);
gwsquare (gwdata, x);
squaregi (&gwdata->gdata, g);
specialmodg (gwdata, g);
compare (thread_num, gwdata, x, g);
}
}
if (IniSectionGetInt (INI_FILE, "QA", "ExtraTests", 0)) {
gwfft (gwdata, x, x3);
gwcopy (gwdata, x3, x);
gwfftfftmul (gwdata, x, x, x);
squaregi (&gwdata->gdata, g);
specialmodg (gwdata, g);
compare_with_text_and_int (thread_num, gwdata, x, g, "ExtraTest", 1);
OutputBoth (thread_num, "ExtraTest2\n");
gwcopy (gwdata, x, x3);
gwfft (gwdata, x3, x3);
gwfftmul (gwdata, x3, x);
squaregi (&gwdata->gdata, g);
specialmodg (gwdata, g);
compare_with_text_and_int (thread_num, gwdata, x, g, "ExtraTest", 2);
OutputBoth (thread_num, "ExtraTest3\n");
gwfft (gwdata, x, x);
gwcopy (gwdata, x, x3);
gwfftfftmul (gwdata, x, x3, x);
squaregi (&gwdata->gdata, g);
specialmodg (gwdata, g);
compare_with_text_and_int (thread_num, gwdata, x, g, "ExtraTest", 3);
OutputBoth (thread_num, "ExtraTest4\n");
gwfft (gwdata, x, x);
gwcopy (gwdata, x, x3);
gwfftfftmul (gwdata, x3, x, x);
squaregi (&gwdata->gdata, g);
specialmodg (gwdata, g);
compare_with_text_and_int (thread_num, gwdata, x, g, "ExtraTest", 4);
}
/* Init with random starting QA values */
gen_data (gwdata, x, g);
if (CHECK_OFTEN) compare (thread_num, gwdata, x, g);
gwcopy (gwdata, x, x2); gtog (g, g2);
/* Test 50 squarings */
gwsetnormroutine (gwdata, 0, 1, 0); /* Enable error checking */
for (i = 0; i < num_squarings; i++) {
/* Test POSTFFT sometimes */
gwstartnextfft (gwdata, (i & 3) == 2);
/* Test gwsetaddin without and with POSTFFT set */
if (i == 45 || i == 46) gwsetaddin (gwdata, -31);
/* Test several different ways to square a number */
if (i % 50 == 25 || i % 50 == 26) { // Deprecated safemul on Montgomery mod numbers had problems -- reported by Atnashev
gwfft (gwdata, x, x3);
gwsafemul (gwdata, x, x3);
if (i % 50 == 25) gwcopy (gwdata, x3, x);
else gwsquare (gwdata, x);
} else if (i % 50 >= 4 && i % 50 <= 7) {
gwfft (gwdata, x, x);
gwfftfftmul (gwdata, x, x, x);
} else if (i % 50 >= 12 && i % 50 <= 15) {
gwfft (gwdata, x, x3);
gwfftmul (gwdata, x3, x);
} else if (i % 50 >= 20 && i % 50 <= 23) {
gwfft (gwdata, x, x3);
gwcopy (gwdata, x3, x4);
gwfftfftmul (gwdata, x3, x4, x);
} else if (i % 50 >= 28 && i % 50 <= 31) { // Test new gwmul3 option (gwfftmul with s2 != d)
gwfft (gwdata, x, x3);
if (i & 1) gwmul3 (gwdata, x, x3, x4, 0);
else gwmul3 (gwdata, x3, x, x4, 0);
gwcopy (gwdata, x4, x);
} else if (i % 50 == 34) { // Test postfft with unfft (zero padding had issues in past)
gwmul3 (gwdata, x, x, x4, GWMUL_STARTNEXTFFT);
gwunfft (gwdata, x4, x);
} else
gwsquare (gwdata, x);
/* Square number (and do add-in) using giants code */
squaregi (&gwdata->gdata, g);
if (i == 45 || i == 46) {
iaddg (-31, g);
gwsetaddin (gwdata, 0);
}
specialmodg (gwdata, g);
/* Compare results */
if (CHECK_OFTEN) compare_with_text_and_int (thread_num, gwdata, x, g, "Square", i);
}
if (SQUARE_ONLY) goto done;
/* Report interim results */
sprintf (buf, "Squares complete. MaxErr=%.10g\n", gw_get_maxerr (gwdata));
OutputBoth (thread_num, buf);
/* Test giants' modular inverse code */
if (num_inverses) {
if (gwdata->GENERAL_MOD) gtog (gwdata->GW_MODULUS, g3);
else {
ultog (gwdata->b, g3);
power (g3, gwdata->n);
dblmulg (gwdata->k, g3);
iaddg (gwdata->c, g3);
}
for (i = 0; i < num_inverses; i++) {
gtog (g, g4);
g4->n[g4->sign-2] += i;
stop_reason = invgi (&gwdata->gdata, thread_num, g3, g4);
if (stop_reason) goto done;
if (g4->sign < 0) { /* Factor - verify it */
uint32_t j;
j = g3->n[0];
negg (g4);
divgi (&gwdata->gdata, g4, g3);
stop_reason = mulgi (&gwdata->gdata, g4, g3);
if (stop_reason) goto done;
if (j != g3->n[0]) OutputBoth (thread_num, "Invgi factor validation failed.\n");
} else { /* No factor - verify inverse */
stop_reason = invgi (&gwdata->gdata, thread_num, g3, g4);
if (stop_reason) goto done;
g4->n[g4->sign-2] -= i;
if (gcompg (g, g4)) OutputBoth (thread_num, "Invgi inverse validation failed.\n");
}
}
}
/* Test mul by const */
gwsetmulbyconst (gwdata, 3);
gwsetnormroutine (gwdata, 0, 1, 1);
gwsquare (gwdata, x);
gwsetnormroutine (gwdata, 0, 1, 0);
squaregi (&gwdata->gdata, g); imulg (3, g);
specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "mul by const 3");
gwsetmulbyconst (gwdata, -3);
gwsetnormroutine (gwdata, 0, 1, 1);
gwsquare (gwdata, x);
gwsetnormroutine (gwdata, 0, 1, 0);
squaregi (&gwdata->gdata, g); imulg (-3, g);
specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "mul by const -3");
/* Test without error checking as that runs different normalization code */
gwsetnormroutine (gwdata, 0, 0, 0);
gwsquare (gwdata, x);
gwsetnormroutine (gwdata, 0, 1, 0);
squaregi (&gwdata->gdata, g);
specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "no echk");
gwsetmulbyconst (gwdata, 5);
gwsetnormroutine (gwdata, 0, 0, 1);
gwsquare (gwdata, x);
gwsetnormroutine (gwdata, 0, 1, 0);
squaregi (&gwdata->gdata, g); imulg (5, g);
specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "const, no echk");
/* Test square and mul carefully */
gwfree (gwdata, x3); gwfree (gwdata, x4);
gwsetaddin (gwdata, -42);
gwsquare_carefully (gwdata, x);
squaregi (&gwdata->gdata, g); iaddg (-42, g); specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "square careful");
x3 = gwalloc (gwdata);
gwcopy (gwdata, x, x3);
gwmul_carefully (gwdata, x3, x);
squaregi (&gwdata->gdata, g); iaddg (-42, g); specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "mul careful");
gwsetaddin (gwdata, 0);
gwfft (gwdata, x, x);
gwsquare_carefully (gwdata, x);
squaregi (&gwdata->gdata, g);
specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "square fft careful");
gwcopy (gwdata, x, x3);
gwfft (gwdata, x, x);
gwfft (gwdata, x3, x3);
gwmul_carefully (gwdata, x3, x);
squaregi (&gwdata->gdata, g);
specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "mul fft careful");
gwsetmulbyconst (gwdata, 3);
gwsetnormroutine (gwdata, 0, 1, 1);
gwsquare_carefully (gwdata, x);
squaregi (&gwdata->gdata, g); imulg (3, g);
specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "square mul-const careful");
gwmul_carefully (gwdata, x, x);
gwfree_internal_memory (gwdata); // Free GW_RANDOM
squaregi (&gwdata->gdata, g); imulg (3, g);
specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "mul mul-const careful");
gwsetnormroutine (gwdata, 0, 1, 0);
/* Test gwunfft */
gwfft (gwdata, x, x);
gwunfft (gwdata, x, x);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "unfft1");
gwmul3 (gwdata, x, x, x, GWMUL_STARTNEXTFFT);
gwunfft (gwdata, x, x);
squaregi (&gwdata->gdata, g);
specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "unfft2");
gwfft_for_fma (gwdata, x, x);
gwunfft (gwdata, x, x);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "unfft3");
/* Test gwaddquick, gwsubquick */
x4 = gwalloc (gwdata);
gwadd3quick (gwdata, x, x2, x3); gtog (g, g3); addg (g2, g3);
gwsub3quick (gwdata, x, x2, x4); gtog (g, g4); subg (g2, g4);
if (CHECK_OFTEN) {
specialmodg (gwdata, g3); compare_with_text (thread_num, gwdata, x3, g3, "add quick");
specialmodg (gwdata, g4); compare_with_text (thread_num, gwdata, x4, g4, "sub quick");
}
/* Test gwadd and gwsub */
gwadd (gwdata, x, x); gwadd (gwdata, x, x); gwadd (gwdata, x, x);
imulg (8, g);
gwsub (gwdata, x3, x); subg (g3, g);
gwadd (gwdata, x4, x); addg (g4, g);
gwadd3 (gwdata, x3, x4, x2); gtog (g3, g2); addg (g4, g2);
gwsub3 (gwdata, x3, x, x4); gtog (g3, g4); subg (g, g4);
if (CHECK_OFTEN) {
specialmodg (gwdata, g); compare_with_text (thread_num, gwdata, x, g, "add1");
specialmodg (gwdata, g2); compare_with_text (thread_num, gwdata, x2, g2, "add2");
specialmodg (gwdata, g4); compare_with_text (thread_num, gwdata, x4, g4, "add3");
}
gwadd (gwdata, x2, x); addg (g2, g);
gwadd (gwdata, x4, x); addg (g4, g);
/* Test gwaddsub */
gwaddsub (gwdata, x, x2); // compute x+x2 and x-x2
subg (g, g2); // x2-x
addg (g, g); // x+x
addg (g2, g); // x+x2
negg (g2); // x-x2
gwaddsub4 (gwdata, x, x2, x3, x4); // compute x+x2 and x-x2
gtog (g, g3); addg (g2, g3);
gtog (g, g4); subg (g2, g4);
if (CHECK_OFTEN) {
specialmodg (gwdata, g); compare_with_text (thread_num, gwdata, x, g, "addsub1");
specialmodg (gwdata, g2); compare_with_text (thread_num, gwdata, x2, g2, "addsub2");
specialmodg (gwdata, g3); compare_with_text (thread_num, gwdata, x3, g3, "addsub3");
specialmodg (gwdata, g4); compare_with_text (thread_num, gwdata, x4, g4, "addsub4");
}
gwadd (gwdata, x2, x); addg (g2, g);
gwadd (gwdata, x3, x); addg (g3, g);
gwadd (gwdata, x4, x); addg (g4, g); specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "addsub5");
/* Test gwsmalladd and gwsmallmul */
gwsmalladd (gwdata, 0x7FFFFFFFFFFFFFFFLL, x);
ulltog (0x7FFFFFFFFFFFFFFFULL, g4); addg (g4, g); specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "smalladd");
i = rand() % 10 + 2;
gwsmallmul (gwdata, i, x);
ulmulg (i, g); specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "smallmul1");
gwsmallmul (gwdata, GWSMALLMUL_MAX-1.0, x);
ulmulg ((unsigned long) (GWSMALLMUL_MAX-1.0), g); specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "smallmul2");
/* Do some multiplies to make sure that the adds and subtracts above normalized properly. */
gwfft (gwdata, x, x);
gwfftfftmul (gwdata, x, x, x);
squaregi (&gwdata->gdata, g); specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "smallmul3");
gwmul3 (gwdata, x, x2, x, 0); mulgi (&gwdata->gdata, g2, g); specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "smallmul4");
gwmul3 (gwdata, x, x3, x, 0); mulgi (&gwdata->gdata, g3, g); specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "smallmul5");
/* Test partial fft mul with s2 == d */
gwsquare2 (gwdata, x, x, GWMUL_STARTNEXTFFT); squaregi (&gwdata->gdata, g); specialmodg (gwdata, g);
gwfft (gwdata, x2, x2);
gwmul3 (gwdata, x, x2, x2, 0); mulgi (&gwdata->gdata, g, g2); specialmodg (gwdata, g2);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "partial fft mul #1");
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x2, g2, "partial fft mul #2");
/* Test gwmul4 routines */
gwsquare2 (gwdata, x, x2, GWMUL_FFT_S1); gtog (g, g2); squaregi (&gwdata->gdata, g2); specialmodg (gwdata, g2);
gwsquare2 (gwdata, x2, x3, GWMUL_FFT_S1); gtog (g2, g3); squaregi (&gwdata->gdata, g3); specialmodg (gwdata, g3);
gwaddmul4 (gwdata, x2, x, x3, x4, GWMUL_PRESERVE_S3); gtog (g2, g4); addg (g, g4); mulg (g3, g4); specialmodg (gwdata, g4);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x4, g4, "addmul nosave");
gwaddmul4 (gwdata, x2, x, x3, x4, GWMUL_FFT_S3); //gtog (g2, g4); addg (g, g4); mulg (g3, g4); specialmodg (gwdata, g4);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x4, g4, "addmul save");
gwunfft (gwdata, x, x);
gwaddmul4 (gwdata, x2, x, x3, x4, GWMUL_PRESERVE_S2); //gtog (g2, g4); addg (g, g4); mulg (g3, g4); specialmodg (gwdata, g4);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x4, g4, "addmul132 nosave");
gwunfft (gwdata, x, x);
gwaddmul4 (gwdata, x2, x, x3, x4, GWMUL_FFT_S2); //gtog (g2, g4); addg (g, g4); mulg (g3, g4); specialmodg (gwdata, g4);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x4, g4, "addmul132 save");
gwunfft (gwdata, x, x);
gwaddmul4 (gwdata, x2, x, x, x4, GWMUL_PRESERVE_S2 | GWMUL_PRESERVE_S3); gtog (g2, g4); addg (g, g4); mulg (g, g4); specialmodg (gwdata, g4);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x4, g4, "addmul133 nosave");
gwunfft (gwdata, x, x);
gwaddmul4 (gwdata, x2, x, x, x4, GWMUL_FFT_S2 | GWMUL_FFT_S3); //gtog (g2, g4); addg (g, g4); mulg (g, g4); specialmodg (gwdata, g4);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x4, g4, "addmul133 save");
gwunfft (gwdata, x3, x3);
gwsubmul4 (gwdata, x2, x, x3, x4, GWMUL_PRESERVE_S3); gtog (g2, g4); subg (g, g4); mulg (g3, g4); specialmodg (gwdata, g4);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x4, g4, "submul nosave");
gwsubmul4 (gwdata, x2, x, x3, x4, GWMUL_FFT_S3); //gtog (g2, g4); subg (g, g4); mulg (g3, g4); specialmodg (gwdata, g4);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x4, g4, "submul save");
gwunfft (gwdata, x, x);
gwsubmul4 (gwdata, x2, x, x3, x4, GWMUL_PRESERVE_S2); //gtog (g2, g4); subg (g, g4); mulg (g3, g4); specialmodg (gwdata, g4);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x4, g4, "submul132 nosave");
gwunfft (gwdata, x, x);
gwsubmul4 (gwdata, x2, x, x3, x4, GWMUL_FFT_S2); //gtog (g2, g4); subg (g, g4); mulg (g3, g4); specialmodg (gwdata, g4);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x4, g4, "submul132 save");
gwunfft (gwdata, x2, x2);
gwsubmul4 (gwdata, x2, x, x3, x4, GWMUL_PRESERVE_S1); //gtog (g2, g4); subg (g, g4); mulg (g3, g4); specialmodg (gwdata, g4);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x4, g4, "submul312 nosave");
gwunfft (gwdata, x2, x2);
gwsubmul4 (gwdata, x2, x, x3, x4, GWMUL_FFT_S1); //gtog (g2, g4); subg (g, g4); mulg (g3, g4); specialmodg (gwdata, g4);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x4, g4, "submul312 save");
gwunfft (gwdata, x, x);
gwsubmul4 (gwdata, x2, x, x, x4, GWMUL_PRESERVE_S2 | GWMUL_PRESERVE_S3); gtog (g2, g4); subg (g, g4); mulg (g, g4); specialmodg (gwdata, g4);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x4, g4, "submul133 nosave");
gwunfft (gwdata, x, x);
gwsubmul4 (gwdata, x2, x, x, x4, GWMUL_FFT_S2 | GWMUL_FFT_S3); //gtog (g2, g4); subg (g, g4); mulg (g, g4); specialmodg (gwdata, g4);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x4, g4, "submul133 save");
gwunfft (gwdata, x, x);
gwsubmul4 (gwdata, x, x2, x, x4, GWMUL_PRESERVE_S1 | GWMUL_PRESERVE_S3); gtog (g, g4); subg (g2, g4); mulg (g, g4); specialmodg (gwdata, g4);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x4, g4, "submul133 nosave");
gwunfft (gwdata, x, x);
gwsubmul4 (gwdata, x, x2, x, x4, GWMUL_FFT_S1 | GWMUL_FFT_S3); //gtog (g2, g4); subg (g, g4); mulg (g, g4); specialmodg (gwdata, g4);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x4, g4, "submul133 save");
gwunfft (gwdata, x2, x2);
gwsubmul4 (gwdata, x2, x3, x, x3, GWMUL_FFT_S1); gtog (g2, g4); subg (g3, g4); mulg (g, g4); gtog (g4, g3); specialmodg (gwdata, g3);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x3, g3, "submul312 save s2 == d");
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x2, g2, "submul312 save s2 == d arg1");
// Older tests
gwcopy (gwdata, x2, x4);
gwsubmul4 (gwdata, x4, x3, x, x4, 0); gtog (g2, g4); subg (g3, g4); mulg (g4, g); specialmodg (gwdata, g);
gwcopy (gwdata, x4, x);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "submul4 s1 == d");
gwfft (gwdata, x, x);
gwaddmul4 (gwdata, x2, x3, x, x, 0); gtog (g2, g4); addg (g3, g4); mulg (g4, g); specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "addmul4fft");
gwcopy (gwdata, x3, x4);
gwfft (gwdata, x, x);
gwsubmul4 (gwdata, x2, x4, x, x4, 0); gtog (g2, g4); subg (g3, g4); mulg (g4, g); specialmodg (gwdata, g);
gwcopy (gwdata, x4, x);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "submul4fft");
gwcopy (gwdata, x3, x4);
gwfft (gwdata, x, x);
gwsubmul4 (gwdata, x2, x4, x, x4, 0); gtog (g2, g4); subg (g3, g4); mulg (g4, g); specialmodg (gwdata, g);
gwcopy (gwdata, x4, x);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "submul4fft");
gwmuladd4 (gwdata, x, x3, x2, x, 0); mulg (g3, g); addg (g2, g); specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "muladd4 s1 != s2");
gwmulsub4 (gwdata, x3, x, x2, x, 0); mulg (g3, g); subg (g2, g); specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "mulsub4 s1 != s2");
gwfft (gwdata, x, x);
gwfft (gwdata, x3, x3);
gwmuladd4 (gwdata, x, x3, x2, x, 0); mulg (g3, g); addg (g2, g); specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "muladd4fft s1 != s2");
gwfft (gwdata, x, x);
gwfft (gwdata, x3, x3);
gwmulsub4 (gwdata, x3, x, x2, x, 0); mulg (g3, g); subg (g2, g); specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "mulsub4fft s1 != s2");
gwmuladd4 (gwdata, x, x, x2, x, 0); squaregi (&gwdata->gdata, g); addg (g2, g); specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "muladd4 s1 == s2");
gwsetaddin (gwdata, 2);
gwmuladd4 (gwdata, x, x, x2, x4, GWMUL_ADDINCONST); squaregi (&gwdata->gdata, g); addg (g2, g); iaddg (2, g); specialmodg (gwdata, g);
gwcopy (gwdata, x4, x);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "muladd4 s1 == s2");
gwsetaddin (gwdata, 0);
gwmulsub4 (gwdata, x, x, x2, x, 0); squaregi (&gwdata->gdata, g); subg (g2, g); specialmodg (gwdata, g);
if (CHECK_OFTEN) compare_with_text (thread_num, gwdata, x, g, "mulsub4 s1 == s2");