293 lines
6.1 KiB
C
293 lines
6.1 KiB
C
#include <assert.h>
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#include <minix/u64.h>
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#include <setjmp.h>
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#include <signal.h>
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#include <stdio.h>
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#include <stdlib.h>
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#include <sys/time.h>
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#include <unistd.h>
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#define ERR err(__LINE__)
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int max_error = 4;
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#include "common.h"
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#define TIMED 0
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static volatile int expect_SIGFPE;
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static u64_t i, j, k;
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static jmp_buf jmpbuf_SIGFPE, jmpbuf_main;
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static void err(int line)
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{
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/* print error information */
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printf("error line %d; i=0x%.8lx%.8lx; j=0x%.8lx%.8lx; k=0x%.8lx%.8lx\n",
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line,
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ex64hi(i), ex64lo(i),
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ex64hi(j), ex64lo(j),
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ex64hi(k), ex64lo(k));
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/* quit after too many errors */
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e(7);
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}
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#define LENGTHOF(arr) (sizeof(arr) / sizeof(arr[0]))
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static u64_t getargval(int index, int *done)
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{
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u32_t values[] = {
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/* corner cases */
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0,
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1,
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0x7fffffff,
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0x80000000,
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0x80000001,
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0xffffffff,
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/* random values */
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0xa9,
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0x0d88,
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0x242811,
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0xeb44d1bc,
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0x5b,
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0xfb50,
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0x569c02,
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0xb23c8f7d,
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0xc3,
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0x2366,
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0xfabb73,
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0xcb4e8aef,
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0xe9,
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0xffdc,
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0x05842d,
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0x3fff902d};
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assert(done);
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/* values with corner case and random 32-bit components */
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if (index < LENGTHOF(values) * LENGTHOF(values))
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return make64(values[index / LENGTHOF(values)], values[index % LENGTHOF(values)]);
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index -= LENGTHOF(values) * LENGTHOF(values);
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/* small numbers */
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if (index < 16) return make64(index + 2, 0);
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index -= 16;
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/* big numbers */
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if (index < 16) return make64(-index - 2, -1);
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index -= 16;
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/* powers of two */
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if (index < 14) return make64(1 << (index * 2 + 5), 0);
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index -= 14;
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if (index < 16) return make64(0, 1 << (index * 2 + 1));
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index -= 16;
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/* done */
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*done = 1;
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return make64(0, 0);
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}
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static void handler_SIGFPE(int signum)
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{
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assert(signum == SIGFPE);
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/* restore the signal handler */
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if (signal(SIGFPE, handler_SIGFPE) == SIG_ERR) ERR;
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/* division by zero occurred, was this expected? */
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if (expect_SIGFPE) {
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/* expected: jump back to test */
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expect_SIGFPE = 0;
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longjmp(jmpbuf_SIGFPE, -1);
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} else {
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/* not expected: error and jump back to main */
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longjmp(jmpbuf_main, -1);
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}
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/* not reachable */
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assert(0);
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exit(-1);
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}
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static inline int bsr64(u64_t i)
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{
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int index;
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u64_t mask;
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for (index = 63, mask = 1ULL << 63; index >= 0; --index, mask >>= 1) {
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if (i & mask)
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return index;
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}
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return -1;
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}
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static void testmul(void)
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{
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int kdone, kidx;
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u32_t ilo = ex64lo(i), jlo = ex64lo(j);
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u64_t prod = i * j;
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int prodbits;
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/* compute maximum index of highest-order bit */
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prodbits = bsr64(i) + bsr64(j) + 1;
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if (i == 0 || j == 0) prodbits = -1;
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if (bsr64(prod) > prodbits) ERR;
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/* compare to 32-bit multiplication if possible */
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if (ex64hi(i) == 0 && ex64hi(j) == 0) {
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if (prod != (u64_t)ilo * jlo) ERR;
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/* if there is no overflow we can check against pure 32-bit */
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if (prodbits < 32 && prod != ilo * jlo) ERR;
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}
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/* in 32-bit arith low-order DWORD matches regardless of overflow */
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if (ex64lo(prod) != ilo * jlo) ERR;
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/* multiplication by zero yields zero */
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if (prodbits < 0 && prod != 0) ERR;
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/* if there is no overflow, check absence of zero divisors */
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if (prodbits >= 0 && prodbits < 64 && prod == 0) ERR;
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/* commutativity */
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if (prod != j * i) ERR;
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/* loop though all argument value combinations for third argument */
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for (kdone = 0, kidx = 0; k = getargval(kidx, &kdone), !kdone; kidx++) {
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/* associativity */
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if ((i * j) * k != i * (j * k)) ERR;
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/* left and right distributivity */
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if ((i + j) * k != (i * k) + (j * k)) ERR;
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if (i * (j + k) != (i * j) + (i * k)) ERR;
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}
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}
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static void testdiv0(void)
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{
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int funcidx;
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u64_t res;
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assert(j == 0);
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/* loop through the 5 different division functions */
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for (funcidx = 0; funcidx < 5; funcidx++) {
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expect_SIGFPE = 1;
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if (setjmp(jmpbuf_SIGFPE) == 0) {
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/* divide by zero using various functions */
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switch (funcidx) {
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case 0: res = i / j; ERR; break;
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case 1: res = i / ex64lo(j); ERR; break;
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case 2: res = i / ex64lo(j); ERR; break;
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case 3: res = i % j; ERR; break;
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case 4: res = i % ex64lo(j); ERR; break;
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default: assert(0); ERR; break;
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}
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/* if we reach this point there was no signal and an
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* error has been recorded
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*/
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expect_SIGFPE = 0;
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} else {
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/* a signal has been received and expect_SIGFPE has
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* been reset; all is ok now
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*/
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assert(!expect_SIGFPE);
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}
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}
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}
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static void testdiv(void)
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{
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u64_t q, r;
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#if TIMED
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struct timeval tvstart, tvend;
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printf("i=0x%.8x%.8x; j=0x%.8x%.8x\n",
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ex64hi(i), ex64lo(i),
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ex64hi(j), ex64lo(j));
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fflush(stdout);
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if (gettimeofday(&tvstart, NULL) < 0) ERR;
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#endif
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/* division by zero has a separate test */
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if (j == 0) {
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testdiv0();
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return;
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}
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/* perform division, store q in k to make ERR more informative */
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q = i / j;
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r = i % j;
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k = q;
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#if TIMED
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if (gettimeofday(&tvend, NULL) < 0) ERR;
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tvend.tv_sec -= tvstart.tv_sec;
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tvend.tv_usec -= tvstart.tv_usec;
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if (tvend.tv_usec < 0) {
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tvend.tv_sec -= 1;
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tvend.tv_usec += 1000000;
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}
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printf("q=0x%.8x%.8x; r=0x%.8x%.8x; time=%d.%.6d\n",
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ex64hi(q), ex64lo(q),
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ex64hi(r), ex64lo(r),
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tvend.tv_sec, tvend.tv_usec);
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fflush(stdout);
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#endif
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/* compare to 64/32-bit division if possible */
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if (!ex64hi(j)) {
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if (q != i / ex64lo(j)) ERR;
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if (!ex64hi(q)) {
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if (q != i / ex64lo(j)) ERR;
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}
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if (r != i % ex64lo(j)) ERR;
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/* compare to 32-bit division if possible */
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if (!ex64hi(i)) {
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if (q != ex64lo(i) / ex64lo(j)) ERR;
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if (r != ex64lo(i) % ex64lo(j)) ERR;
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}
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}
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/* check results using i = q j + r and r < j */
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if (i != (q * j) + r) ERR;
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if (r >= j) ERR;
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}
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static void test(void)
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{
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int idone, jdone, iidx, jidx;
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/* loop though all argument value combinations */
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for (idone = 0, iidx = 0; i = getargval(iidx, &idone), !idone; iidx++)
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for (jdone = 0, jidx = 0; j = getargval(jidx, &jdone), !jdone; jidx++) {
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testmul();
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testdiv();
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}
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}
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int main(void)
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{
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start(53);
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/* set up signal handler to deal with div by zero */
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if (setjmp(jmpbuf_main) == 0) {
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if (signal(SIGFPE, handler_SIGFPE) == SIG_ERR) ERR;
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/* perform tests */
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test();
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} else {
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/* an unexpected SIGFPE has occurred */
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ERR;
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}
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/* this was all */
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quit();
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return(-1); /* Unreachable */
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}
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