/* Run some tests on various mpn routines. THIS IS A TEST PROGRAM USED ONLY FOR DEVELOPMENT. IT'S ALMOST CERTAIN TO BE SUBJECT TO INCOMPATIBLE CHANGES IN FUTURE VERSIONS OF GMP. Copyright 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2008, 2009 Free Software Foundation, Inc. This file is part of the GNU MP Library. The GNU MP Library is free software; you can redistribute it and/or modify it under the terms of the GNU Lesser General Public License as published by the Free Software Foundation; either version 3 of the License, or (at your option) any later version. The GNU MP Library is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. You should have received a copy of the GNU Lesser General Public License along with the GNU MP Library. If not, see http://www.gnu.org/licenses/. */ /* Usage: try [options] ... For example, "./try mpn_add_n" to run tests of that function. Combinations of alignments and overlaps are tested, with redzones above or below the destinations, and with the sources write-protected. The number of tests performed becomes ridiculously large with all the combinations, and for that reason this can't be a part of a "make check", it's meant only for development. The code isn't very pretty either. During development it can help to disable the redzones, since seeing the rest of the destination written can show where the wrong part is, or if the dst pointers are off by 1 or whatever. The magic DEADVAL initial fill (see below) will show locations never written. The -s option can be used to test only certain size operands, which is useful if some new code doesn't yet support say sizes less than the unrolling, or whatever. When a problem occurs it'll of course be necessary to run the program under gdb to find out quite where, how and why it's going wrong. Disable the spinner with the -W option when doing this, or single stepping won't work. Using the "-1" option to run with simple data can be useful. New functions to test can be added in try_array[]. If a new TYPE is required then add it to the existing constants, set up its parameters in param_init(), and add it to the call() function. Extra parameter fields can be added if necessary, or further interpretations given to existing fields. Portability: This program is not designed for use on Cray vector systems under Unicos, it will fail to compile due to missing _SC_PAGE_SIZE. Those systems don't really have pages or mprotect. We could arrange to run the tests without the redzones, but we haven't bothered currently. Enhancements: umul_ppmm support is not very good, lots of source data is generated whereas only two limbs are needed. Make a little scheme for interpreting the "SIZE" selections uniformly. Make tr->size==SIZE_2 work, for the benefit of find_a which wants just 2 source limbs. Possibly increase the default repetitions in that case. Automatically detect gdb and disable the spinner (use -W for now). Make a way to re-run a failing case in the debugger. Have an option to snapshot each test case before it's run so the data is available if a segv occurs. (This should be more reliable than the current print_all() in the signal handler.) When alignment means a dst isn't hard against the redzone, check the space in between remains unchanged. When a source overlaps a destination, don't run both s[i].high 0 and 1, as s[i].high has no effect. Maybe encode s[i].high into overlap->s[i]. When partial overlaps aren't done, don't loop over source alignments during overlaps. Try to make the looping code a bit less horrible. Right now it's pretty hard to see what iterations are actually done. Perhaps specific setups and loops for each style of function under test would be clearer than a parameterized general loop. There's lots of stuff common to all functions, but the exceptions get messy. When there's no overlap, run with both src>dst and src #include #include #include #include #include #include #if HAVE_UNISTD_H #include #endif #if HAVE_SYS_MMAN_H #include #endif #include "gmp.h" #include "gmp-impl.h" #include "longlong.h" #include "tests.h" #if !HAVE_DECL_OPTARG extern char *optarg; extern int optind, opterr; #endif #if ! HAVE_DECL_SYS_NERR extern int sys_nerr; #endif #if ! HAVE_DECL_SYS_ERRLIST extern char *sys_errlist[]; #endif #if ! HAVE_STRERROR char * strerror (int n) { if (n < 0 || n >= sys_nerr) return "errno out of range"; else return sys_errlist[n]; } #endif /* Rumour has it some systems lack a define of PROT_NONE. */ #ifndef PROT_NONE #define PROT_NONE 0 #endif /* Dummy defines for when mprotect doesn't exist. */ #ifndef PROT_READ #define PROT_READ 0 #endif #ifndef PROT_WRITE #define PROT_WRITE 0 #endif /* _SC_PAGESIZE is standard, but hpux 9 and possibly other systems have _SC_PAGE_SIZE instead. */ #if defined (_SC_PAGE_SIZE) && ! defined (_SC_PAGESIZE) #define _SC_PAGESIZE _SC_PAGE_SIZE #endif #ifdef EXTRA_PROTOS EXTRA_PROTOS #endif #ifdef EXTRA_PROTOS2 EXTRA_PROTOS2 #endif #define DEFAULT_REPETITIONS 10 int option_repetitions = DEFAULT_REPETITIONS; int option_spinner = 1; int option_redzones = 1; int option_firstsize = 0; int option_lastsize = 500; int option_firstsize2 = 0; #define ALIGNMENTS 4 #define OVERLAPS 4 #define CARRY_RANDOMS 5 #define MULTIPLIER_RANDOMS 5 #define DIVISOR_RANDOMS 5 #define FRACTION_COUNT 4 int option_print = 0; #define DATA_TRAND 0 #define DATA_ZEROS 1 #define DATA_SEQ 2 #define DATA_FFS 3 #define DATA_2FD 4 int option_data = DATA_TRAND; mp_size_t pagesize; #define PAGESIZE_LIMBS (pagesize / BYTES_PER_MP_LIMB) /* must be a multiple of the page size */ #define REDZONE_BYTES (pagesize * 16) #define REDZONE_LIMBS (REDZONE_BYTES / BYTES_PER_MP_LIMB) #define MAX3(x,y,z) (MAX (x, MAX (y, z))) #if GMP_LIMB_BITS == 32 #define DEADVAL CNST_LIMB(0xDEADBEEF) #else #define DEADVAL CNST_LIMB(0xDEADBEEFBADDCAFE) #endif struct region_t { mp_ptr ptr; mp_size_t size; }; #define TRAP_NOWHERE 0 #define TRAP_REF 1 #define TRAP_FUN 2 #define TRAP_SETUPS 3 int trap_location = TRAP_NOWHERE; #define NUM_SOURCES 2 #define NUM_DESTS 2 struct source_t { struct region_t region; int high; mp_size_t align; mp_ptr p; }; struct source_t s[NUM_SOURCES]; struct dest_t { int high; mp_size_t align; mp_size_t size; }; struct dest_t d[NUM_DESTS]; struct source_each_t { mp_ptr p; }; struct dest_each_t { struct region_t region; mp_ptr p; }; mp_size_t size; mp_size_t size2; unsigned long shift; mp_limb_t carry; mp_limb_t divisor; mp_limb_t multiplier; mp_limb_t multiplier_N[8]; struct each_t { const char *name; struct dest_each_t d[NUM_DESTS]; struct source_each_t s[NUM_SOURCES]; mp_limb_t retval; }; struct each_t ref = { "Ref" }; struct each_t fun = { "Fun" }; #define SRC_SIZE(n) ((n) == 1 && tr->size2 ? size2 : size) void validate_fail __GMP_PROTO ((void)); #if HAVE_TRY_NEW_C #include "try-new.c" #endif typedef mp_limb_t (*tryfun_t) __GMP_PROTO ((ANYARGS)); struct try_t { char retval; char src[2]; char dst[2]; #define SIZE_YES 1 #define SIZE_ALLOW_ZERO 2 #define SIZE_1 3 /* 1 limb */ #define SIZE_2 4 /* 2 limbs */ #define SIZE_3 5 /* 3 limbs */ #define SIZE_FRACTION 6 /* size2 is fraction for divrem etc */ #define SIZE_SIZE2 7 #define SIZE_PLUS_1 8 #define SIZE_SUM 9 #define SIZE_DIFF 10 #define SIZE_DIFF_PLUS_1 11 #define SIZE_RETVAL 12 #define SIZE_CEIL_HALF 13 #define SIZE_GET_STR 14 #define SIZE_PLUS_MSIZE_SUB_1 15 /* size+msize-1 */ char size; char size2; char dst_size[2]; /* multiplier_N size in limbs */ mp_size_t msize; char dst_bytes[2]; char dst0_from_src1; #define CARRY_BIT 1 /* single bit 0 or 1 */ #define CARRY_3 2 /* 0, 1, 2 */ #define CARRY_4 3 /* 0 to 3 */ #define CARRY_LIMB 4 /* any limb value */ #define CARRY_DIVISOR 5 /* carry= 1); got = fun.retval; got_mod = got % CNST_34LSUB1; want = refmpn_mod_34lsub1 (ptr, size); want_mod = want % CNST_34LSUB1; if (got_mod != want_mod) { gmp_printf ("got 0x%MX reduced from 0x%MX\n", got_mod, got); gmp_printf ("want 0x%MX reduced from 0x%MX\n", want_mod, want); error = 1; } if (error) validate_fail (); } void validate_divexact_1 (void) { mp_srcptr src = s[0].p; mp_srcptr dst = fun.d[0].p; int error = 0; ASSERT (size >= 1); { mp_ptr tp = refmpn_malloc_limbs (size); mp_limb_t rem; rem = refmpn_divrem_1 (tp, 0, src, size, divisor); if (rem != 0) { gmp_printf ("Remainder a%%d == 0x%MX, mpn_divexact_1 undefined\n", rem); error = 1; } if (! refmpn_equal_anynail (tp, dst, size)) { printf ("Quotient a/d wrong\n"); mpn_trace ("fun ", dst, size); mpn_trace ("want", tp, size); error = 1; } free (tp); } if (error) validate_fail (); } void validate_modexact_1c_odd (void) { mp_srcptr ptr = s[0].p; mp_limb_t r = fun.retval; int error = 0; ASSERT (size >= 1); ASSERT (divisor & 1); if ((r & GMP_NAIL_MASK) != 0) printf ("r has non-zero nail\n"); if (carry < divisor) { if (! (r < divisor)) { printf ("Don't have r < divisor\n"); error = 1; } } else /* carry >= divisor */ { if (! (r <= divisor)) { printf ("Don't have r <= divisor\n"); error = 1; } } { mp_limb_t c = carry % divisor; mp_ptr tp = refmpn_malloc_limbs (size+1); mp_size_t k; for (k = size-1; k <= size; k++) { /* set {tp,size+1} to r*b^k + a - c */ refmpn_copyi (tp, ptr, size); tp[size] = 0; ASSERT_NOCARRY (refmpn_add_1 (tp+k, tp+k, size+1-k, r)); if (refmpn_sub_1 (tp, tp, size+1, c)) ASSERT_CARRY (mpn_add_1 (tp, tp, size+1, divisor)); if (refmpn_mod_1 (tp, size+1, divisor) == 0) goto good_remainder; } printf ("Remainder matches neither r*b^(size-1) nor r*b^size\n"); error = 1; good_remainder: free (tp); } if (error) validate_fail (); } void validate_modexact_1_odd (void) { carry = 0; validate_modexact_1c_odd (); } void validate_sqrtrem (void) { mp_srcptr orig_ptr = s[0].p; mp_size_t orig_size = size; mp_size_t root_size = (size+1)/2; mp_srcptr root_ptr = fun.d[0].p; mp_size_t rem_size = fun.retval; mp_srcptr rem_ptr = fun.d[1].p; mp_size_t prod_size = 2*root_size; mp_ptr p; int error = 0; if (rem_size < 0 || rem_size > size) { printf ("Bad remainder size retval %ld\n", (long) rem_size); validate_fail (); } p = refmpn_malloc_limbs (prod_size); p[root_size] = refmpn_lshift (p, root_ptr, root_size, 1); if (refmpn_cmp_twosizes (p,root_size+1, rem_ptr,rem_size) < 0) { printf ("Remainder bigger than 2*root\n"); error = 1; } refmpn_sqr (p, root_ptr, root_size); if (rem_size != 0) refmpn_add (p, p, prod_size, rem_ptr, rem_size); if (refmpn_cmp_twosizes (p,prod_size, orig_ptr,orig_size) != 0) { printf ("root^2+rem != original\n"); mpn_trace ("prod", p, prod_size); error = 1; } free (p); if (error) validate_fail (); } /* These types are indexes into the param[] array and are arbitrary so long as they're all distinct and within the size of param[]. Renumber whenever necessary or desired. */ #define TYPE_ADD 1 #define TYPE_ADD_N 2 #define TYPE_ADD_NC 3 #define TYPE_SUB 4 #define TYPE_SUB_N 5 #define TYPE_SUB_NC 6 #define TYPE_MUL_1 7 #define TYPE_MUL_1C 8 #define TYPE_MUL_2 9 #define TYPE_MUL_3 92 #define TYPE_MUL_4 93 #define TYPE_ADDMUL_1 10 #define TYPE_ADDMUL_1C 11 #define TYPE_SUBMUL_1 12 #define TYPE_SUBMUL_1C 13 #define TYPE_ADDMUL_2 14 #define TYPE_ADDMUL_3 15 #define TYPE_ADDMUL_4 16 #define TYPE_ADDMUL_5 17 #define TYPE_ADDMUL_6 18 #define TYPE_ADDMUL_7 19 #define TYPE_ADDMUL_8 20 #define TYPE_ADDSUB_N 21 #define TYPE_ADDSUB_NC 22 #define TYPE_RSHIFT 23 #define TYPE_LSHIFT 24 #define TYPE_LSHIFTC 25 #define TYPE_COPY 26 #define TYPE_COPYI 27 #define TYPE_COPYD 28 #define TYPE_COM 29 #define TYPE_ADDLSH1_N 30 #define TYPE_ADDLSH2_N 48 #define TYPE_ADDLSH_N 49 #define TYPE_SUBLSH1_N 31 #define TYPE_SUBLSH_N 130 #define TYPE_RSBLSH1_N 34 #define TYPE_RSBLSH2_N 46 #define TYPE_RSBLSH_N 47 #define TYPE_RSH1ADD_N 32 #define TYPE_RSH1SUB_N 33 #define TYPE_MOD_1 35 #define TYPE_MOD_1C 36 #define TYPE_DIVMOD_1 37 #define TYPE_DIVMOD_1C 38 #define TYPE_DIVREM_1 39 #define TYPE_DIVREM_1C 40 #define TYPE_PREINV_DIVREM_1 41 #define TYPE_PREINV_MOD_1 42 #define TYPE_MOD_34LSUB1 43 #define TYPE_UDIV_QRNND 44 #define TYPE_UDIV_QRNND_R 45 #define TYPE_DIVEXACT_1 50 #define TYPE_DIVEXACT_BY3 51 #define TYPE_DIVEXACT_BY3C 52 #define TYPE_MODEXACT_1_ODD 53 #define TYPE_MODEXACT_1C_ODD 54 #define TYPE_INVERT 55 #define TYPE_BINVERT 56 #define TYPE_GCD 60 #define TYPE_GCD_1 61 #define TYPE_GCD_FINDA 62 #define TYPE_MPZ_JACOBI 63 #define TYPE_MPZ_KRONECKER 64 #define TYPE_MPZ_KRONECKER_UI 65 #define TYPE_MPZ_KRONECKER_SI 66 #define TYPE_MPZ_UI_KRONECKER 67 #define TYPE_MPZ_SI_KRONECKER 68 #define TYPE_AND_N 70 #define TYPE_NAND_N 71 #define TYPE_ANDN_N 72 #define TYPE_IOR_N 73 #define TYPE_IORN_N 74 #define TYPE_NIOR_N 75 #define TYPE_XOR_N 76 #define TYPE_XNOR_N 77 #define TYPE_MUL_MN 80 #define TYPE_MUL_N 81 #define TYPE_SQR 82 #define TYPE_UMUL_PPMM 83 #define TYPE_UMUL_PPMM_R 84 #define TYPE_MULLO_N 85 #define TYPE_SBPI1_DIV_QR 90 #define TYPE_TDIV_QR 91 #define TYPE_SQRTREM 100 #define TYPE_ZERO 101 #define TYPE_GET_STR 102 #define TYPE_POPCOUNT 103 #define TYPE_HAMDIST 104 #define TYPE_EXTRA 110 struct try_t param[150]; void param_init (void) { struct try_t *p; #define COPY(index) memcpy (p, ¶m[index], sizeof (*p)) #if HAVE_STRINGIZE #define REFERENCE(fun) \ p->reference = (tryfun_t) fun; \ p->reference_name = #fun #define VALIDATE(fun) \ p->validate = fun; \ p->validate_name = #fun #else #define REFERENCE(fun) \ p->reference = (tryfun_t) fun; \ p->reference_name = "fun" #define VALIDATE(fun) \ p->validate = fun; \ p->validate_name = "fun" #endif p = ¶m[TYPE_ADD_N]; p->retval = 1; p->dst[0] = 1; p->src[0] = 1; p->src[1] = 1; REFERENCE (refmpn_add_n); p = ¶m[TYPE_ADD_NC]; COPY (TYPE_ADD_N); p->carry = CARRY_BIT; REFERENCE (refmpn_add_nc); p = ¶m[TYPE_SUB_N]; COPY (TYPE_ADD_N); REFERENCE (refmpn_sub_n); p = ¶m[TYPE_SUB_NC]; COPY (TYPE_ADD_NC); REFERENCE (refmpn_sub_nc); p = ¶m[TYPE_ADD]; COPY (TYPE_ADD_N); p->size = SIZE_ALLOW_ZERO; p->size2 = 1; REFERENCE (refmpn_add); p = ¶m[TYPE_SUB]; COPY (TYPE_ADD); REFERENCE (refmpn_sub); p = ¶m[TYPE_MUL_1]; p->retval = 1; p->dst[0] = 1; p->src[0] = 1; p->multiplier = 1; p->overlap = OVERLAP_LOW_TO_HIGH; REFERENCE (refmpn_mul_1); p = ¶m[TYPE_MUL_1C]; COPY (TYPE_MUL_1); p->carry = CARRY_LIMB; REFERENCE (refmpn_mul_1c); p = ¶m[TYPE_MUL_2]; p->retval = 1; p->dst[0] = 1; p->dst_size[0] = SIZE_PLUS_MSIZE_SUB_1; p->src[0] = 1; p->src[1] = 1; p->msize = 2; p->overlap = OVERLAP_NOT_SRC2; REFERENCE (refmpn_mul_2); p = ¶m[TYPE_MUL_3]; COPY (TYPE_MUL_2); p->msize = 3; REFERENCE (refmpn_mul_3); p = ¶m[TYPE_MUL_4]; COPY (TYPE_MUL_2); p->msize = 4; REFERENCE (refmpn_mul_4); p = ¶m[TYPE_ADDMUL_1]; p->retval = 1; p->dst[0] = 1; p->src[0] = 1; p->multiplier = 1; p->dst0_from_src1 = 1; REFERENCE (refmpn_addmul_1); p = ¶m[TYPE_ADDMUL_1C]; COPY (TYPE_ADDMUL_1); p->carry = CARRY_LIMB; REFERENCE (refmpn_addmul_1c); p = ¶m[TYPE_SUBMUL_1]; COPY (TYPE_ADDMUL_1); REFERENCE (refmpn_submul_1); p = ¶m[TYPE_SUBMUL_1C]; COPY (TYPE_ADDMUL_1C); REFERENCE (refmpn_submul_1c); p = ¶m[TYPE_ADDMUL_2]; p->retval = 1; p->dst[0] = 1; p->dst_size[0] = SIZE_PLUS_MSIZE_SUB_1; p->src[0] = 1; p->src[1] = 1; p->msize = 2; p->dst0_from_src1 = 1; p->overlap = OVERLAP_NOT_SRC2; REFERENCE (refmpn_addmul_2); p = ¶m[TYPE_ADDMUL_3]; COPY (TYPE_ADDMUL_2); p->msize = 3; REFERENCE (refmpn_addmul_3); p = ¶m[TYPE_ADDMUL_4]; COPY (TYPE_ADDMUL_2); p->msize = 4; REFERENCE (refmpn_addmul_4); p = ¶m[TYPE_ADDMUL_5]; COPY (TYPE_ADDMUL_2); p->msize = 5; REFERENCE (refmpn_addmul_5); p = ¶m[TYPE_ADDMUL_6]; COPY (TYPE_ADDMUL_2); p->msize = 6; REFERENCE (refmpn_addmul_6); p = ¶m[TYPE_ADDMUL_7]; COPY (TYPE_ADDMUL_2); p->msize = 7; REFERENCE (refmpn_addmul_7); p = ¶m[TYPE_ADDMUL_8]; COPY (TYPE_ADDMUL_2); p->msize = 8; REFERENCE (refmpn_addmul_8); p = ¶m[TYPE_AND_N]; p->dst[0] = 1; p->src[0] = 1; p->src[1] = 1; REFERENCE (refmpn_and_n); p = ¶m[TYPE_ANDN_N]; COPY (TYPE_AND_N); REFERENCE (refmpn_andn_n); p = ¶m[TYPE_NAND_N]; COPY (TYPE_AND_N); REFERENCE (refmpn_nand_n); p = ¶m[TYPE_IOR_N]; COPY (TYPE_AND_N); REFERENCE (refmpn_ior_n); p = ¶m[TYPE_IORN_N]; COPY (TYPE_AND_N); REFERENCE (refmpn_iorn_n); p = ¶m[TYPE_NIOR_N]; COPY (TYPE_AND_N); REFERENCE (refmpn_nior_n); p = ¶m[TYPE_XOR_N]; COPY (TYPE_AND_N); REFERENCE (refmpn_xor_n); p = ¶m[TYPE_XNOR_N]; COPY (TYPE_AND_N); REFERENCE (refmpn_xnor_n); p = ¶m[TYPE_ADDSUB_N]; p->retval = 1; p->dst[0] = 1; p->dst[1] = 1; p->src[0] = 1; p->src[1] = 1; REFERENCE (refmpn_add_n_sub_n); p = ¶m[TYPE_ADDSUB_NC]; COPY (TYPE_ADDSUB_N); p->carry = CARRY_4; REFERENCE (refmpn_add_n_sub_nc); p = ¶m[TYPE_COPY]; p->dst[0] = 1; p->src[0] = 1; p->overlap = OVERLAP_NONE; p->size = SIZE_ALLOW_ZERO; REFERENCE (refmpn_copy); p = ¶m[TYPE_COPYI]; p->dst[0] = 1; p->src[0] = 1; p->overlap = OVERLAP_LOW_TO_HIGH; p->size = SIZE_ALLOW_ZERO; REFERENCE (refmpn_copyi); p = ¶m[TYPE_COPYD]; p->dst[0] = 1; p->src[0] = 1; p->overlap = OVERLAP_HIGH_TO_LOW; p->size = SIZE_ALLOW_ZERO; REFERENCE (refmpn_copyd); p = ¶m[TYPE_COM]; p->dst[0] = 1; p->src[0] = 1; REFERENCE (refmpn_com); p = ¶m[TYPE_ADDLSH1_N]; COPY (TYPE_ADD_N); REFERENCE (refmpn_addlsh1_n); p = ¶m[TYPE_ADDLSH2_N]; COPY (TYPE_ADD_N); REFERENCE (refmpn_addlsh2_n); p = ¶m[TYPE_ADDLSH_N]; COPY (TYPE_ADD_N); p->shift = 1; REFERENCE (refmpn_addlsh_n); p = ¶m[TYPE_SUBLSH1_N]; COPY (TYPE_ADD_N); REFERENCE (refmpn_sublsh1_n); p = ¶m[TYPE_SUBLSH_N]; COPY (TYPE_ADDLSH_N); REFERENCE (refmpn_sublsh_n); p = ¶m[TYPE_RSBLSH1_N]; COPY (TYPE_ADD_N); REFERENCE (refmpn_rsblsh1_n); p = ¶m[TYPE_RSBLSH2_N]; COPY (TYPE_ADD_N); REFERENCE (refmpn_rsblsh2_n); p = ¶m[TYPE_RSBLSH_N]; COPY (TYPE_ADDLSH_N); REFERENCE (refmpn_rsblsh_n); p = ¶m[TYPE_RSH1ADD_N]; COPY (TYPE_ADD_N); REFERENCE (refmpn_rsh1add_n); p = ¶m[TYPE_RSH1SUB_N]; COPY (TYPE_ADD_N); REFERENCE (refmpn_rsh1sub_n); p = ¶m[TYPE_MOD_1]; p->retval = 1; p->src[0] = 1; p->size = SIZE_ALLOW_ZERO; p->divisor = DIVISOR_LIMB; REFERENCE (refmpn_mod_1); p = ¶m[TYPE_MOD_1C]; COPY (TYPE_MOD_1); p->carry = CARRY_DIVISOR; REFERENCE (refmpn_mod_1c); p = ¶m[TYPE_DIVMOD_1]; COPY (TYPE_MOD_1); p->dst[0] = 1; REFERENCE (refmpn_divmod_1); p = ¶m[TYPE_DIVMOD_1C]; COPY (TYPE_DIVMOD_1); p->carry = CARRY_DIVISOR; REFERENCE (refmpn_divmod_1c); p = ¶m[TYPE_DIVREM_1]; COPY (TYPE_DIVMOD_1); p->size2 = SIZE_FRACTION; p->dst_size[0] = SIZE_SUM; REFERENCE (refmpn_divrem_1); p = ¶m[TYPE_DIVREM_1C]; COPY (TYPE_DIVREM_1); p->carry = CARRY_DIVISOR; REFERENCE (refmpn_divrem_1c); p = ¶m[TYPE_PREINV_DIVREM_1]; COPY (TYPE_DIVREM_1); p->size = SIZE_YES; /* ie. no size==0 */ REFERENCE (refmpn_preinv_divrem_1); p = ¶m[TYPE_PREINV_MOD_1]; p->retval = 1; p->src[0] = 1; p->divisor = DIVISOR_NORM; REFERENCE (refmpn_preinv_mod_1); p = ¶m[TYPE_MOD_34LSUB1]; p->retval = 1; p->src[0] = 1; VALIDATE (validate_mod_34lsub1); p = ¶m[TYPE_UDIV_QRNND]; p->retval = 1; p->src[0] = 1; p->dst[0] = 1; p->dst_size[0] = SIZE_1; p->divisor = UDIV_NEEDS_NORMALIZATION ? DIVISOR_NORM : DIVISOR_LIMB; p->data = DATA_UDIV_QRNND; p->overlap = OVERLAP_NONE; REFERENCE (refmpn_udiv_qrnnd); p = ¶m[TYPE_UDIV_QRNND_R]; COPY (TYPE_UDIV_QRNND); REFERENCE (refmpn_udiv_qrnnd_r); p = ¶m[TYPE_DIVEXACT_1]; p->dst[0] = 1; p->src[0] = 1; p->divisor = DIVISOR_LIMB; p->data = DATA_MULTIPLE_DIVISOR; VALIDATE (validate_divexact_1); REFERENCE (refmpn_divmod_1); p = ¶m[TYPE_DIVEXACT_BY3]; p->retval = 1; p->dst[0] = 1; p->src[0] = 1; REFERENCE (refmpn_divexact_by3); p = ¶m[TYPE_DIVEXACT_BY3C]; COPY (TYPE_DIVEXACT_BY3); p->carry = CARRY_3; REFERENCE (refmpn_divexact_by3c); p = ¶m[TYPE_MODEXACT_1_ODD]; p->retval = 1; p->src[0] = 1; p->divisor = DIVISOR_ODD; VALIDATE (validate_modexact_1_odd); p = ¶m[TYPE_MODEXACT_1C_ODD]; COPY (TYPE_MODEXACT_1_ODD); p->carry = CARRY_LIMB; VALIDATE (validate_modexact_1c_odd); p = ¶m[TYPE_GCD_1]; p->retval = 1; p->src[0] = 1; p->data = DATA_NON_ZERO; p->divisor = DIVISOR_LIMB; REFERENCE (refmpn_gcd_1); p = ¶m[TYPE_GCD]; p->retval = 1; p->dst[0] = 1; p->src[0] = 1; p->src[1] = 1; p->size2 = 1; p->dst_size[0] = SIZE_RETVAL; p->overlap = OVERLAP_NOT_SRCS; p->data = DATA_GCD; REFERENCE (refmpn_gcd); p = ¶m[TYPE_MPZ_JACOBI]; p->retval = 1; p->src[0] = 1; p->size = SIZE_ALLOW_ZERO; p->src[1] = 1; p->data = DATA_SRC1_ODD; p->size2 = 1; p->carry = CARRY_4; p->carry_sign = 1; REFERENCE (refmpz_jacobi); p = ¶m[TYPE_MPZ_KRONECKER]; COPY (TYPE_MPZ_JACOBI); p->data = 0; /* clear inherited DATA_SRC1_ODD */ REFERENCE (refmpz_kronecker); p = ¶m[TYPE_MPZ_KRONECKER_UI]; p->retval = 1; p->src[0] = 1; p->size = SIZE_ALLOW_ZERO; p->multiplier = 1; p->carry = CARRY_BIT; REFERENCE (refmpz_kronecker_ui); p = ¶m[TYPE_MPZ_KRONECKER_SI]; COPY (TYPE_MPZ_KRONECKER_UI); REFERENCE (refmpz_kronecker_si); p = ¶m[TYPE_MPZ_UI_KRONECKER]; COPY (TYPE_MPZ_KRONECKER_UI); REFERENCE (refmpz_ui_kronecker); p = ¶m[TYPE_MPZ_SI_KRONECKER]; COPY (TYPE_MPZ_KRONECKER_UI); REFERENCE (refmpz_si_kronecker); p = ¶m[TYPE_SQR]; p->dst[0] = 1; p->src[0] = 1; p->dst_size[0] = SIZE_SUM; p->overlap = OVERLAP_NONE; REFERENCE (refmpn_sqr); p = ¶m[TYPE_MUL_N]; COPY (TYPE_SQR); p->src[1] = 1; REFERENCE (refmpn_mul_n); p = ¶m[TYPE_MULLO_N]; COPY (TYPE_MUL_N); p->dst_size[0] = 0; REFERENCE (refmpn_mullo_n); p = ¶m[TYPE_MUL_MN]; COPY (TYPE_MUL_N); p->size2 = 1; REFERENCE (refmpn_mul_basecase); p = ¶m[TYPE_UMUL_PPMM]; p->retval = 1; p->src[0] = 1; p->dst[0] = 1; p->dst_size[0] = SIZE_1; p->overlap = OVERLAP_NONE; REFERENCE (refmpn_umul_ppmm); p = ¶m[TYPE_UMUL_PPMM_R]; COPY (TYPE_UMUL_PPMM); REFERENCE (refmpn_umul_ppmm_r); p = ¶m[TYPE_RSHIFT]; p->retval = 1; p->dst[0] = 1; p->src[0] = 1; p->shift = 1; p->overlap = OVERLAP_LOW_TO_HIGH; REFERENCE (refmpn_rshift); p = ¶m[TYPE_LSHIFT]; COPY (TYPE_RSHIFT); p->overlap = OVERLAP_HIGH_TO_LOW; REFERENCE (refmpn_lshift); p = ¶m[TYPE_LSHIFTC]; COPY (TYPE_RSHIFT); p->overlap = OVERLAP_HIGH_TO_LOW; REFERENCE (refmpn_lshiftc); p = ¶m[TYPE_POPCOUNT]; p->retval = 1; p->src[0] = 1; REFERENCE (refmpn_popcount); p = ¶m[TYPE_HAMDIST]; COPY (TYPE_POPCOUNT); p->src[1] = 1; REFERENCE (refmpn_hamdist); p = ¶m[TYPE_SBPI1_DIV_QR]; p->retval = 1; p->dst[0] = 1; p->dst[1] = 1; p->src[0] = 1; p->src[1] = 1; p->data = DATA_SRC1_HIGHBIT; p->size2 = 1; p->dst_size[0] = SIZE_DIFF; p->overlap = OVERLAP_NONE; REFERENCE (refmpn_sb_div_qr); p = ¶m[TYPE_TDIV_QR]; p->dst[0] = 1; p->dst[1] = 1; p->src[0] = 1; p->src[1] = 1; p->size2 = 1; p->dst_size[0] = SIZE_DIFF_PLUS_1; p->dst_size[1] = SIZE_SIZE2; p->overlap = OVERLAP_NONE; REFERENCE (refmpn_tdiv_qr); p = ¶m[TYPE_SQRTREM]; p->retval = 1; p->dst[0] = 1; p->dst[1] = 1; p->src[0] = 1; p->dst_size[0] = SIZE_CEIL_HALF; p->dst_size[1] = SIZE_RETVAL; p->overlap = OVERLAP_NONE; VALIDATE (validate_sqrtrem); REFERENCE (refmpn_sqrtrem); p = ¶m[TYPE_ZERO]; p->dst[0] = 1; p->size = SIZE_ALLOW_ZERO; REFERENCE (refmpn_zero); p = ¶m[TYPE_GET_STR]; p->retval = 1; p->src[0] = 1; p->size = SIZE_ALLOW_ZERO; p->dst[0] = 1; p->dst[1] = 1; p->dst_size[0] = SIZE_GET_STR; p->dst_bytes[0] = 1; p->overlap = OVERLAP_NONE; REFERENCE (refmpn_get_str); p = ¶m[TYPE_BINVERT]; p->dst[0] = 1; p->src[0] = 1; p->data = DATA_SRC0_ODD; p->overlap = OVERLAP_NONE; REFERENCE (refmpn_binvert); p = ¶m[TYPE_INVERT]; p->dst[0] = 1; p->src[0] = 1; p->data = DATA_SRC0_HIGHBIT; p->overlap = OVERLAP_NONE; REFERENCE (refmpn_invert); #ifdef EXTRA_PARAM_INIT EXTRA_PARAM_INIT #endif } /* The following are macros if there's no native versions, so wrap them in functions that can be in try_array[]. */ void MPN_COPY_fun (mp_ptr rp, mp_srcptr sp, mp_size_t size) { MPN_COPY (rp, sp, size); } void MPN_COPY_INCR_fun (mp_ptr rp, mp_srcptr sp, mp_size_t size) { MPN_COPY_INCR (rp, sp, size); } void MPN_COPY_DECR_fun (mp_ptr rp, mp_srcptr sp, mp_size_t size) { MPN_COPY_DECR (rp, sp, size); } void __GMPN_COPY_fun (mp_ptr rp, mp_srcptr sp, mp_size_t size) { __GMPN_COPY (rp, sp, size); } #ifdef __GMPN_COPY_INCR void __GMPN_COPY_INCR_fun (mp_ptr rp, mp_srcptr sp, mp_size_t size) { __GMPN_COPY_INCR (rp, sp, size); } #endif void mpn_com_fun (mp_ptr rp, mp_srcptr sp, mp_size_t size) { mpn_com (rp, sp, size); } void mpn_and_n_fun (mp_ptr rp, mp_srcptr s1, mp_srcptr s2, mp_size_t size) { mpn_and_n (rp, s1, s2, size); } void mpn_andn_n_fun (mp_ptr rp, mp_srcptr s1, mp_srcptr s2, mp_size_t size) { mpn_andn_n (rp, s1, s2, size); } void mpn_nand_n_fun (mp_ptr rp, mp_srcptr s1, mp_srcptr s2, mp_size_t size) { mpn_nand_n (rp, s1, s2, size); } void mpn_ior_n_fun (mp_ptr rp, mp_srcptr s1, mp_srcptr s2, mp_size_t size) { mpn_ior_n (rp, s1, s2, size); } void mpn_iorn_n_fun (mp_ptr rp, mp_srcptr s1, mp_srcptr s2, mp_size_t size) { mpn_iorn_n (rp, s1, s2, size); } void mpn_nior_n_fun (mp_ptr rp, mp_srcptr s1, mp_srcptr s2, mp_size_t size) { mpn_nior_n (rp, s1, s2, size); } void mpn_xor_n_fun (mp_ptr rp, mp_srcptr s1, mp_srcptr s2, mp_size_t size) { mpn_xor_n (rp, s1, s2, size); } void mpn_xnor_n_fun (mp_ptr rp, mp_srcptr s1, mp_srcptr s2, mp_size_t size) { mpn_xnor_n (rp, s1, s2, size); } mp_limb_t udiv_qrnnd_fun (mp_limb_t *remptr, mp_limb_t n1, mp_limb_t n0, mp_limb_t d) { mp_limb_t q; udiv_qrnnd (q, *remptr, n1, n0, d); return q; } mp_limb_t mpn_divexact_by3_fun (mp_ptr rp, mp_srcptr sp, mp_size_t size) { return mpn_divexact_by3 (rp, sp, size); } mp_limb_t mpn_modexact_1_odd_fun (mp_srcptr ptr, mp_size_t size, mp_limb_t divisor) { return mpn_modexact_1_odd (ptr, size, divisor); } void mpn_toom22_mul_fun (mp_ptr dst, mp_srcptr src1, mp_srcptr src2, mp_size_t size) { mp_ptr tspace; TMP_DECL; TMP_MARK; tspace = TMP_ALLOC_LIMBS (mpn_toom22_mul_itch (size, size)); mpn_toom22_mul (dst, src1, size, src2, size, tspace); TMP_FREE; } void mpn_toom2_sqr_fun (mp_ptr dst, mp_srcptr src, mp_size_t size) { mp_ptr tspace; TMP_DECL; TMP_MARK; tspace = TMP_ALLOC_LIMBS (mpn_toom2_sqr_itch (size)); mpn_toom2_sqr (dst, src, size, tspace); TMP_FREE; } void mpn_toom33_mul_fun (mp_ptr dst, mp_srcptr src1, mp_srcptr src2, mp_size_t size) { mp_ptr tspace; TMP_DECL; TMP_MARK; tspace = TMP_ALLOC_LIMBS (mpn_toom33_mul_itch (size, size)); mpn_toom33_mul (dst, src1, size, src2, size, tspace); TMP_FREE; } void mpn_toom3_sqr_fun (mp_ptr dst, mp_srcptr src, mp_size_t size) { mp_ptr tspace; TMP_DECL; TMP_MARK; tspace = TMP_ALLOC_LIMBS (mpn_toom3_sqr_itch (size)); mpn_toom3_sqr (dst, src, size, tspace); TMP_FREE; } void mpn_toom44_mul_fun (mp_ptr dst, mp_srcptr src1, mp_srcptr src2, mp_size_t size) { mp_ptr tspace; TMP_DECL; TMP_MARK; tspace = TMP_ALLOC_LIMBS (mpn_toom44_mul_itch (size, size)); mpn_toom44_mul (dst, src1, size, src2, size, tspace); TMP_FREE; } void mpn_toom4_sqr_fun (mp_ptr dst, mp_srcptr src, mp_size_t size) { mp_ptr tspace; TMP_DECL; TMP_MARK; tspace = TMP_ALLOC_LIMBS (mpn_toom4_sqr_itch (size)); mpn_toom4_sqr (dst, src, size, tspace); TMP_FREE; } mp_limb_t umul_ppmm_fun (mp_limb_t *lowptr, mp_limb_t m1, mp_limb_t m2) { mp_limb_t high; umul_ppmm (high, *lowptr, m1, m2); return high; } void MPN_ZERO_fun (mp_ptr ptr, mp_size_t size) { MPN_ZERO (ptr, size); } struct choice_t { const char *name; tryfun_t function; int type; mp_size_t minsize; }; #if HAVE_STRINGIZE #define TRY(fun) #fun, (tryfun_t) fun #define TRY_FUNFUN(fun) #fun, (tryfun_t) fun##_fun #else #define TRY(fun) "fun", (tryfun_t) fun #define TRY_FUNFUN(fun) "fun", (tryfun_t) fun/**/_fun #endif const struct choice_t choice_array[] = { { TRY(mpn_add), TYPE_ADD }, { TRY(mpn_sub), TYPE_SUB }, { TRY(mpn_add_n), TYPE_ADD_N }, { TRY(mpn_sub_n), TYPE_SUB_N }, #if HAVE_NATIVE_mpn_add_nc { TRY(mpn_add_nc), TYPE_ADD_NC }, #endif #if HAVE_NATIVE_mpn_sub_nc { TRY(mpn_sub_nc), TYPE_SUB_NC }, #endif #if HAVE_NATIVE_mpn_add_n_sub_n { TRY(mpn_add_n_sub_n), TYPE_ADDSUB_N }, #endif #if HAVE_NATIVE_mpn_add_n_sub_nc { TRY(mpn_add_n_sub_nc), TYPE_ADDSUB_NC }, #endif { TRY(mpn_addmul_1), TYPE_ADDMUL_1 }, { TRY(mpn_submul_1), TYPE_SUBMUL_1 }, #if HAVE_NATIVE_mpn_addmul_1c { TRY(mpn_addmul_1c), TYPE_ADDMUL_1C }, #endif #if HAVE_NATIVE_mpn_submul_1c { TRY(mpn_submul_1c), TYPE_SUBMUL_1C }, #endif #if HAVE_NATIVE_mpn_addmul_2 { TRY(mpn_addmul_2), TYPE_ADDMUL_2, 2 }, #endif #if HAVE_NATIVE_mpn_addmul_3 { TRY(mpn_addmul_3), TYPE_ADDMUL_3, 3 }, #endif #if HAVE_NATIVE_mpn_addmul_4 { TRY(mpn_addmul_4), TYPE_ADDMUL_4, 4 }, #endif #if HAVE_NATIVE_mpn_addmul_5 { TRY(mpn_addmul_5), TYPE_ADDMUL_5, 5 }, #endif #if HAVE_NATIVE_mpn_addmul_6 { TRY(mpn_addmul_6), TYPE_ADDMUL_6, 6 }, #endif #if HAVE_NATIVE_mpn_addmul_7 { TRY(mpn_addmul_7), TYPE_ADDMUL_7, 7 }, #endif #if HAVE_NATIVE_mpn_addmul_8 { TRY(mpn_addmul_8), TYPE_ADDMUL_8, 8 }, #endif { TRY_FUNFUN(mpn_com), TYPE_COM }, { TRY_FUNFUN(MPN_COPY), TYPE_COPY }, { TRY_FUNFUN(MPN_COPY_INCR), TYPE_COPYI }, { TRY_FUNFUN(MPN_COPY_DECR), TYPE_COPYD }, { TRY_FUNFUN(__GMPN_COPY), TYPE_COPY }, #ifdef __GMPN_COPY_INCR { TRY_FUNFUN(__GMPN_COPY_INCR), TYPE_COPYI }, #endif #if HAVE_NATIVE_mpn_copyi { TRY(mpn_copyi), TYPE_COPYI }, #endif #if HAVE_NATIVE_mpn_copyd { TRY(mpn_copyd), TYPE_COPYD }, #endif #if HAVE_NATIVE_mpn_addlsh1_n { TRY(mpn_addlsh1_n), TYPE_ADDLSH1_N }, #endif #if HAVE_NATIVE_mpn_addlsh2_n { TRY(mpn_addlsh2_n), TYPE_ADDLSH2_N }, #endif #if HAVE_NATIVE_mpn_addlsh_n { TRY(mpn_addlsh_n), TYPE_ADDLSH_N }, #endif #if HAVE_NATIVE_mpn_sublsh1_n { TRY(mpn_sublsh1_n), TYPE_SUBLSH1_N }, #endif #if HAVE_NATIVE_mpn_sublsh_n { TRY(mpn_sublsh_n), TYPE_SUBLSH_N }, #endif #if HAVE_NATIVE_mpn_rsblsh1_n { TRY(mpn_rsblsh1_n), TYPE_RSBLSH1_N }, #endif #if HAVE_NATIVE_mpn_rsblsh2_n { TRY(mpn_rsblsh2_n), TYPE_RSBLSH2_N }, #endif #if HAVE_NATIVE_mpn_rsblsh_n { TRY(mpn_rsblsh_n), TYPE_RSBLSH_N }, #endif #if HAVE_NATIVE_mpn_rsh1add_n { TRY(mpn_rsh1add_n), TYPE_RSH1ADD_N }, #endif #if HAVE_NATIVE_mpn_rsh1sub_n { TRY(mpn_rsh1sub_n), TYPE_RSH1SUB_N }, #endif { TRY_FUNFUN(mpn_and_n), TYPE_AND_N }, { TRY_FUNFUN(mpn_andn_n), TYPE_ANDN_N }, { TRY_FUNFUN(mpn_nand_n), TYPE_NAND_N }, { TRY_FUNFUN(mpn_ior_n), TYPE_IOR_N }, { TRY_FUNFUN(mpn_iorn_n), TYPE_IORN_N }, { TRY_FUNFUN(mpn_nior_n), TYPE_NIOR_N }, { TRY_FUNFUN(mpn_xor_n), TYPE_XOR_N }, { TRY_FUNFUN(mpn_xnor_n), TYPE_XNOR_N }, { TRY(mpn_divrem_1), TYPE_DIVREM_1 }, #if USE_PREINV_DIVREM_1 { TRY(mpn_preinv_divrem_1), TYPE_PREINV_DIVREM_1 }, #endif { TRY(mpn_mod_1), TYPE_MOD_1 }, #if USE_PREINV_MOD_1 { TRY(mpn_preinv_mod_1), TYPE_PREINV_MOD_1 }, #endif #if HAVE_NATIVE_mpn_divrem_1c { TRY(mpn_divrem_1c), TYPE_DIVREM_1C }, #endif #if HAVE_NATIVE_mpn_mod_1c { TRY(mpn_mod_1c), TYPE_MOD_1C }, #endif #if GMP_NUMB_BITS % 4 == 0 { TRY(mpn_mod_34lsub1), TYPE_MOD_34LSUB1 }, #endif { TRY_FUNFUN(udiv_qrnnd), TYPE_UDIV_QRNND, 2 }, #if HAVE_NATIVE_mpn_udiv_qrnnd { TRY(mpn_udiv_qrnnd), TYPE_UDIV_QRNND, 2 }, #endif #if HAVE_NATIVE_mpn_udiv_qrnnd_r { TRY(mpn_udiv_qrnnd_r), TYPE_UDIV_QRNND_R, 2 }, #endif { TRY(mpn_divexact_1), TYPE_DIVEXACT_1 }, { TRY_FUNFUN(mpn_divexact_by3), TYPE_DIVEXACT_BY3 }, { TRY(mpn_divexact_by3c), TYPE_DIVEXACT_BY3C }, { TRY_FUNFUN(mpn_modexact_1_odd), TYPE_MODEXACT_1_ODD }, { TRY(mpn_modexact_1c_odd), TYPE_MODEXACT_1C_ODD }, { TRY(mpn_sbpi1_div_qr), TYPE_SBPI1_DIV_QR, 3}, { TRY(mpn_tdiv_qr), TYPE_TDIV_QR }, { TRY(mpn_mul_1), TYPE_MUL_1 }, #if HAVE_NATIVE_mpn_mul_1c { TRY(mpn_mul_1c), TYPE_MUL_1C }, #endif #if HAVE_NATIVE_mpn_mul_2 { TRY(mpn_mul_2), TYPE_MUL_2, 2 }, #endif #if HAVE_NATIVE_mpn_mul_3 { TRY(mpn_mul_3), TYPE_MUL_3, 3 }, #endif #if HAVE_NATIVE_mpn_mul_4 { TRY(mpn_mul_4), TYPE_MUL_4, 4 }, #endif { TRY(mpn_rshift), TYPE_RSHIFT }, { TRY(mpn_lshift), TYPE_LSHIFT }, { TRY(mpn_lshiftc), TYPE_LSHIFTC }, { TRY(mpn_mul_basecase), TYPE_MUL_MN }, { TRY(mpn_mullo_basecase), TYPE_MULLO_N }, #if SQR_TOOM2_THRESHOLD > 0 { TRY(mpn_sqr_basecase), TYPE_SQR }, #endif { TRY(mpn_mul), TYPE_MUL_MN }, { TRY(mpn_mul_n), TYPE_MUL_N }, { TRY(mpn_sqr), TYPE_SQR }, { TRY_FUNFUN(umul_ppmm), TYPE_UMUL_PPMM, 2 }, #if HAVE_NATIVE_mpn_umul_ppmm { TRY(mpn_umul_ppmm), TYPE_UMUL_PPMM, 2 }, #endif #if HAVE_NATIVE_mpn_umul_ppmm_r { TRY(mpn_umul_ppmm_r), TYPE_UMUL_PPMM_R, 2 }, #endif { TRY_FUNFUN(mpn_toom22_mul), TYPE_MUL_N, MPN_TOOM22_MUL_MINSIZE }, { TRY_FUNFUN(mpn_toom2_sqr), TYPE_SQR, MPN_TOOM2_SQR_MINSIZE }, { TRY_FUNFUN(mpn_toom33_mul), TYPE_MUL_N, MPN_TOOM33_MUL_MINSIZE }, { TRY_FUNFUN(mpn_toom3_sqr), TYPE_SQR, MPN_TOOM3_SQR_MINSIZE }, { TRY_FUNFUN(mpn_toom44_mul), TYPE_MUL_N, MPN_TOOM44_MUL_MINSIZE }, { TRY_FUNFUN(mpn_toom4_sqr), TYPE_SQR, MPN_TOOM4_SQR_MINSIZE }, { TRY(mpn_gcd_1), TYPE_GCD_1 }, { TRY(mpn_gcd), TYPE_GCD }, { TRY(mpz_jacobi), TYPE_MPZ_JACOBI }, { TRY(mpz_kronecker_ui), TYPE_MPZ_KRONECKER_UI }, { TRY(mpz_kronecker_si), TYPE_MPZ_KRONECKER_SI }, { TRY(mpz_ui_kronecker), TYPE_MPZ_UI_KRONECKER }, { TRY(mpz_si_kronecker), TYPE_MPZ_SI_KRONECKER }, { TRY(mpn_popcount), TYPE_POPCOUNT }, { TRY(mpn_hamdist), TYPE_HAMDIST }, { TRY(mpn_sqrtrem), TYPE_SQRTREM }, { TRY_FUNFUN(MPN_ZERO), TYPE_ZERO }, { TRY(mpn_get_str), TYPE_GET_STR }, { TRY(mpn_binvert), TYPE_BINVERT }, { TRY(mpn_invert), TYPE_INVERT }, #ifdef EXTRA_ROUTINES EXTRA_ROUTINES #endif }; const struct choice_t *choice = NULL; void mprotect_maybe (void *addr, size_t len, int prot) { if (!option_redzones) return; #if HAVE_MPROTECT if (mprotect (addr, len, prot) != 0) { fprintf (stderr, "Cannot mprotect %p 0x%X 0x%X: %s\n", addr, (unsigned) len, prot, strerror (errno)); exit (1); } #else { static int warned = 0; if (!warned) { fprintf (stderr, "mprotect not available, bounds testing not performed\n"); warned = 1; } } #endif } /* round "a" up to a multiple of "m" */ size_t round_up_multiple (size_t a, size_t m) { unsigned long r; r = a % m; if (r == 0) return a; else return a + (m - r); } /* On some systems it seems that only an mmap'ed region can be mprotect'ed, for instance HP-UX 10. mmap will almost certainly return a pointer already aligned to a page boundary, but it's easy enough to share the alignment handling with the malloc case. */ void malloc_region (struct region_t *r, mp_size_t n) { mp_ptr p; size_t nbytes; ASSERT ((pagesize % BYTES_PER_MP_LIMB) == 0); n = round_up_multiple (n, PAGESIZE_LIMBS); r->size = n; nbytes = n*BYTES_PER_MP_LIMB + 2*REDZONE_BYTES + pagesize; #if defined (MAP_ANONYMOUS) && ! defined (MAP_ANON) #define MAP_ANON MAP_ANONYMOUS #endif #if HAVE_MMAP && defined (MAP_ANON) /* note must pass fd=-1 for MAP_ANON on BSD */ p = mmap (NULL, nbytes, PROT_READ|PROT_WRITE, MAP_PRIVATE|MAP_ANON, -1, 0); if (p == (void *) -1) { fprintf (stderr, "Cannot mmap %#x anon bytes: %s\n", (unsigned) nbytes, strerror (errno)); exit (1); } #else p = (mp_ptr) malloc (nbytes); ASSERT_ALWAYS (p != NULL); #endif p = align_pointer (p, pagesize); mprotect_maybe (p, REDZONE_BYTES, PROT_NONE); p += REDZONE_LIMBS; r->ptr = p; mprotect_maybe (p + n, REDZONE_BYTES, PROT_NONE); } void mprotect_region (const struct region_t *r, int prot) { mprotect_maybe (r->ptr, r->size, prot); } /* First four entries must be 0,1,2,3 for the benefit of CARRY_BIT, CARRY_3, and CARRY_4 */ mp_limb_t carry_array[] = { 0, 1, 2, 3, 4, CNST_LIMB(1) << 8, CNST_LIMB(1) << 16, GMP_NUMB_MAX }; int carry_index; #define CARRY_COUNT \ ((tr->carry == CARRY_BIT) ? 2 \ : tr->carry == CARRY_3 ? 3 \ : tr->carry == CARRY_4 ? 4 \ : (tr->carry == CARRY_LIMB || tr->carry == CARRY_DIVISOR) \ ? numberof(carry_array) + CARRY_RANDOMS \ : 1) #define MPN_RANDOM_ALT(index,dst,size) \ (((index) & 1) ? refmpn_random (dst, size) : refmpn_random2 (dst, size)) /* The dummy value after MPN_RANDOM_ALT ensures both sides of the ":" have the same type */ #define CARRY_ITERATION \ for (carry_index = 0; \ (carry_index < numberof (carry_array) \ ? (carry = carry_array[carry_index]) \ : (MPN_RANDOM_ALT (carry_index, &carry, 1), (mp_limb_t) 0)), \ (tr->carry == CARRY_DIVISOR ? carry %= divisor : 0), \ carry_index < CARRY_COUNT; \ carry_index++) mp_limb_t multiplier_array[] = { 0, 1, 2, 3, CNST_LIMB(1) << 8, CNST_LIMB(1) << 16, GMP_NUMB_MAX - 2, GMP_NUMB_MAX - 1, GMP_NUMB_MAX }; int multiplier_index; mp_limb_t divisor_array[] = { 1, 2, 3, CNST_LIMB(1) << 8, CNST_LIMB(1) << 16, CNST_LIMB(1) << (GMP_NUMB_BITS/2 - 1), GMP_NUMB_MAX >> (GMP_NUMB_BITS/2), GMP_NUMB_HIGHBIT, GMP_NUMB_HIGHBIT + 1, GMP_NUMB_MAX - 2, GMP_NUMB_MAX - 1, GMP_NUMB_MAX }; int divisor_index; /* The dummy value after MPN_RANDOM_ALT ensures both sides of the ":" have the same type */ #define ARRAY_ITERATION(var, index, limit, array, randoms, cond) \ for (index = 0; \ (index < numberof (array) \ ? (var = array[index]) \ : (MPN_RANDOM_ALT (index, &var, 1), (mp_limb_t) 0)), \ index < limit; \ index++) #define MULTIPLIER_COUNT \ (tr->multiplier \ ? numberof (multiplier_array) + MULTIPLIER_RANDOMS \ : 1) #define MULTIPLIER_ITERATION \ ARRAY_ITERATION(multiplier, multiplier_index, MULTIPLIER_COUNT, \ multiplier_array, MULTIPLIER_RANDOMS, TRY_MULTIPLIER) #define DIVISOR_COUNT \ (tr->divisor \ ? numberof (divisor_array) + DIVISOR_RANDOMS \ : 1) #define DIVISOR_ITERATION \ ARRAY_ITERATION(divisor, divisor_index, DIVISOR_COUNT, divisor_array, \ DIVISOR_RANDOMS, TRY_DIVISOR) /* overlap_array[].s[i] is where s[i] should be, 0 or 1 means overlapping d[0] or d[1] respectively, -1 means a separate (write-protected) location. */ struct overlap_t { int s[NUM_SOURCES]; } overlap_array[] = { { { -1, -1 } }, { { 0, -1 } }, { { -1, 0 } }, { { 0, 0 } }, { { 1, -1 } }, { { -1, 1 } }, { { 1, 1 } }, { { 0, 1 } }, { { 1, 0 } }, }; struct overlap_t *overlap, *overlap_limit; #define OVERLAP_COUNT \ (tr->overlap & OVERLAP_NONE ? 1 \ : tr->overlap & OVERLAP_NOT_SRCS ? 3 \ : tr->overlap & OVERLAP_NOT_SRC2 ? 2 \ : tr->dst[1] ? 9 \ : tr->src[1] ? 4 \ : tr->dst[0] ? 2 \ : 1) #define OVERLAP_ITERATION \ for (overlap = &overlap_array[0], \ overlap_limit = &overlap_array[OVERLAP_COUNT]; \ overlap < overlap_limit; \ overlap++) int base = 10; #define T_RAND_COUNT 2 int t_rand; void t_random (mp_ptr ptr, mp_size_t n) { if (n == 0) return; switch (option_data) { case DATA_TRAND: switch (t_rand) { case 0: refmpn_random (ptr, n); break; case 1: refmpn_random2 (ptr, n); break; default: abort(); } break; case DATA_SEQ: { static mp_limb_t counter = 0; mp_size_t i; for (i = 0; i < n; i++) ptr[i] = ++counter; } break; case DATA_ZEROS: refmpn_zero (ptr, n); break; case DATA_FFS: refmpn_fill (ptr, n, GMP_NUMB_MAX); break; case DATA_2FD: /* Special value 0x2FFF...FFFD, which divided by 3 gives 0xFFF...FFF, inducing the q1_ff special case in the mul-by-inverse part of some versions of divrem_1 and mod_1. */ refmpn_fill (ptr, n, (mp_limb_t) -1); ptr[n-1] = 2; ptr[0] -= 2; break; default: abort(); } } #define T_RAND_ITERATION \ for (t_rand = 0; t_rand < T_RAND_COUNT; t_rand++) void print_each (const struct each_t *e) { int i; printf ("%s %s\n", e->name, e == &ref ? tr->reference_name : choice->name); if (tr->retval) mpn_trace (" retval", &e->retval, 1); for (i = 0; i < NUM_DESTS; i++) { if (tr->dst[i]) { if (tr->dst_bytes[i]) byte_tracen (" d[%d]", i, e->d[i].p, d[i].size); else mpn_tracen (" d[%d]", i, e->d[i].p, d[i].size); printf (" located %p\n", (void *) (e->d[i].p)); } } for (i = 0; i < NUM_SOURCES; i++) if (tr->src[i]) printf (" s[%d] located %p\n", i, (void *) (e->s[i].p)); } void print_all (void) { int i; printf ("\n"); printf ("size %ld\n", (long) size); if (tr->size2) printf ("size2 %ld\n", (long) size2); for (i = 0; i < NUM_DESTS; i++) if (d[i].size != size) printf ("d[%d].size %ld\n", i, (long) d[i].size); if (tr->multiplier) mpn_trace (" multiplier", &multiplier, 1); if (tr->divisor) mpn_trace (" divisor", &divisor, 1); if (tr->shift) printf (" shift %lu\n", shift); if (tr->carry) mpn_trace (" carry", &carry, 1); if (tr->msize) mpn_trace (" multiplier_N", multiplier_N, tr->msize); for (i = 0; i < NUM_DESTS; i++) if (tr->dst[i]) printf (" d[%d] %s, align %ld, size %ld\n", i, d[i].high ? "high" : "low", (long) d[i].align, (long) d[i].size); for (i = 0; i < NUM_SOURCES; i++) { if (tr->src[i]) { printf (" s[%d] %s, align %ld, ", i, s[i].high ? "high" : "low", (long) s[i].align); switch (overlap->s[i]) { case -1: printf ("no overlap\n"); break; default: printf ("==d[%d]%s\n", overlap->s[i], tr->overlap == OVERLAP_LOW_TO_HIGH ? "+a" : tr->overlap == OVERLAP_HIGH_TO_LOW ? "-a" : ""); break; } printf (" s[%d]=", i); if (tr->carry_sign && (carry & (1 << i))) printf ("-"); mpn_trace (NULL, s[i].p, SRC_SIZE(i)); } } if (tr->dst0_from_src1) mpn_trace (" d[0]", s[1].region.ptr, size); if (tr->reference) print_each (&ref); print_each (&fun); } void compare (void) { int error = 0; int i; if (tr->retval && ref.retval != fun.retval) { gmp_printf ("Different return values (%Mu, %Mu)\n", ref.retval, fun.retval); error = 1; } for (i = 0; i < NUM_DESTS; i++) { switch (tr->dst_size[i]) { case SIZE_RETVAL: case SIZE_GET_STR: d[i].size = ref.retval; break; } } for (i = 0; i < NUM_DESTS; i++) { if (! tr->dst[i]) continue; if (tr->dst_bytes[i]) { if (memcmp (ref.d[i].p, fun.d[i].p, d[i].size) != 0) { printf ("Different d[%d] data results, low diff at %ld, high diff at %ld\n", i, (long) byte_diff_lowest (ref.d[i].p, fun.d[i].p, d[i].size), (long) byte_diff_highest (ref.d[i].p, fun.d[i].p, d[i].size)); error = 1; } } else { if (d[i].size != 0 && ! refmpn_equal_anynail (ref.d[i].p, fun.d[i].p, d[i].size)) { printf ("Different d[%d] data results, low diff at %ld, high diff at %ld\n", i, (long) mpn_diff_lowest (ref.d[i].p, fun.d[i].p, d[i].size), (long) mpn_diff_highest (ref.d[i].p, fun.d[i].p, d[i].size)); error = 1; } } } if (error) { print_all(); abort(); } } /* The functions are cast if the return value should be a long rather than the default mp_limb_t. This is necessary under _LONG_LONG_LIMB. This might not be enough if some actual calling conventions checking is implemented on a long long limb system. */ void call (struct each_t *e, tryfun_t function) { switch (choice->type) { case TYPE_ADD: case TYPE_SUB: e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, size, e->s[1].p, size2); break; case TYPE_ADD_N: case TYPE_SUB_N: case TYPE_ADDLSH1_N: case TYPE_ADDLSH2_N: case TYPE_SUBLSH1_N: case TYPE_RSBLSH1_N: case TYPE_RSBLSH2_N: case TYPE_RSH1ADD_N: case TYPE_RSH1SUB_N: e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, e->s[1].p, size); break; case TYPE_ADDLSH_N: case TYPE_SUBLSH_N: case TYPE_RSBLSH_N: e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, e->s[1].p, size, shift); break; case TYPE_ADD_NC: case TYPE_SUB_NC: e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, e->s[1].p, size, carry); break; case TYPE_MUL_1: case TYPE_ADDMUL_1: case TYPE_SUBMUL_1: e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, size, multiplier); break; case TYPE_MUL_1C: case TYPE_ADDMUL_1C: case TYPE_SUBMUL_1C: e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, size, multiplier, carry); break; case TYPE_MUL_2: case TYPE_MUL_3: case TYPE_MUL_4: if (size == 1) abort (); e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, size, multiplier_N); break; case TYPE_ADDMUL_2: case TYPE_ADDMUL_3: case TYPE_ADDMUL_4: case TYPE_ADDMUL_5: case TYPE_ADDMUL_6: case TYPE_ADDMUL_7: case TYPE_ADDMUL_8: if (size == 1) abort (); e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, size, multiplier_N); break; case TYPE_AND_N: case TYPE_ANDN_N: case TYPE_NAND_N: case TYPE_IOR_N: case TYPE_IORN_N: case TYPE_NIOR_N: case TYPE_XOR_N: case TYPE_XNOR_N: CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, e->s[1].p, size); break; case TYPE_ADDSUB_N: e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->d[1].p, e->s[0].p, e->s[1].p, size); break; case TYPE_ADDSUB_NC: e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->d[1].p, e->s[0].p, e->s[1].p, size, carry); break; case TYPE_COPY: case TYPE_COPYI: case TYPE_COPYD: case TYPE_COM: CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, size); break; case TYPE_DIVEXACT_BY3: e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, size); break; case TYPE_DIVEXACT_BY3C: e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, size, carry); break; case TYPE_DIVMOD_1: case TYPE_DIVEXACT_1: e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, size, divisor); break; case TYPE_DIVMOD_1C: e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, size, divisor, carry); break; case TYPE_DIVREM_1: e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, size2, e->s[0].p, size, divisor); break; case TYPE_DIVREM_1C: e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, size2, e->s[0].p, size, divisor, carry); break; case TYPE_PREINV_DIVREM_1: { mp_limb_t dinv; unsigned shift; shift = refmpn_count_leading_zeros (divisor); dinv = refmpn_invert_limb (divisor << shift); e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, size2, e->s[0].p, size, divisor, dinv, shift); } break; case TYPE_MOD_1: case TYPE_MODEXACT_1_ODD: e->retval = CALLING_CONVENTIONS (function) (e->s[0].p, size, divisor); break; case TYPE_MOD_1C: case TYPE_MODEXACT_1C_ODD: e->retval = CALLING_CONVENTIONS (function) (e->s[0].p, size, divisor, carry); break; case TYPE_PREINV_MOD_1: e->retval = CALLING_CONVENTIONS (function) (e->s[0].p, size, divisor, refmpn_invert_limb (divisor)); break; case TYPE_MOD_34LSUB1: e->retval = CALLING_CONVENTIONS (function) (e->s[0].p, size); break; case TYPE_UDIV_QRNND: e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p[1], e->s[0].p[0], divisor); break; case TYPE_UDIV_QRNND_R: e->retval = CALLING_CONVENTIONS (function) (e->s[0].p[1], e->s[0].p[0], divisor, e->d[0].p); break; case TYPE_SBPI1_DIV_QR: { gmp_pi1_t dinv; invert_pi1 (dinv, e->s[1].p[size2-1], e->s[1].p[size2-2]); /* FIXME: use refinvert_pi1 */ refmpn_copyi (e->d[1].p, e->s[0].p, size); /* dividend */ refmpn_fill (e->d[0].p, size-size2, 0x98765432); /* quotient */ e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->d[1].p, size, e->s[1].p, size2, dinv.inv32); refmpn_zero (e->d[1].p+size2, size-size2); /* excess over remainder */ } break; case TYPE_TDIV_QR: CALLING_CONVENTIONS (function) (e->d[0].p, e->d[1].p, 0, e->s[0].p, size, e->s[1].p, size2); break; case TYPE_GCD_1: /* Must have a non-zero src, but this probably isn't the best way to do it. */ if (refmpn_zero_p (e->s[0].p, size)) e->retval = 0; else e->retval = CALLING_CONVENTIONS (function) (e->s[0].p, size, divisor); break; case TYPE_GCD: /* Sources are destroyed, so they're saved and replaced, but a general approach to this might be better. Note that it's still e->s[0].p and e->s[1].p that are passed, to get the desired alignments. */ { mp_ptr s0 = refmpn_malloc_limbs (size); mp_ptr s1 = refmpn_malloc_limbs (size2); refmpn_copyi (s0, e->s[0].p, size); refmpn_copyi (s1, e->s[1].p, size2); mprotect_region (&s[0].region, PROT_READ|PROT_WRITE); mprotect_region (&s[1].region, PROT_READ|PROT_WRITE); e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, size, e->s[1].p, size2); refmpn_copyi (e->s[0].p, s0, size); refmpn_copyi (e->s[1].p, s1, size2); free (s0); free (s1); } break; case TYPE_GCD_FINDA: { /* FIXME: do this with a flag */ mp_limb_t c[2]; c[0] = e->s[0].p[0]; c[0] += (c[0] == 0); c[1] = e->s[0].p[0]; c[1] += (c[1] == 0); e->retval = CALLING_CONVENTIONS (function) (c); } break; case TYPE_MPZ_JACOBI: case TYPE_MPZ_KRONECKER: { mpz_t a, b; PTR(a) = e->s[0].p; SIZ(a) = ((carry&1)==0 ? size : -size); PTR(b) = e->s[1].p; SIZ(b) = ((carry&2)==0 ? size2 : -size2); e->retval = CALLING_CONVENTIONS (function) (a, b); } break; case TYPE_MPZ_KRONECKER_UI: { mpz_t a; PTR(a) = e->s[0].p; SIZ(a) = (carry==0 ? size : -size); e->retval = CALLING_CONVENTIONS(function) (a, (unsigned long)multiplier); } break; case TYPE_MPZ_KRONECKER_SI: { mpz_t a; PTR(a) = e->s[0].p; SIZ(a) = (carry==0 ? size : -size); e->retval = CALLING_CONVENTIONS (function) (a, (long) multiplier); } break; case TYPE_MPZ_UI_KRONECKER: { mpz_t b; PTR(b) = e->s[0].p; SIZ(b) = (carry==0 ? size : -size); e->retval = CALLING_CONVENTIONS(function) ((unsigned long)multiplier, b); } break; case TYPE_MPZ_SI_KRONECKER: { mpz_t b; PTR(b) = e->s[0].p; SIZ(b) = (carry==0 ? size : -size); e->retval = CALLING_CONVENTIONS (function) ((long) multiplier, b); } break; case TYPE_MUL_MN: CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, size, e->s[1].p, size2); break; case TYPE_MUL_N: case TYPE_MULLO_N: CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, e->s[1].p, size); break; case TYPE_SQR: CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, size); break; case TYPE_UMUL_PPMM: e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p[0], e->s[0].p[1]); break; case TYPE_UMUL_PPMM_R: e->retval = CALLING_CONVENTIONS (function) (e->s[0].p[0], e->s[0].p[1], e->d[0].p); break; case TYPE_LSHIFT: case TYPE_LSHIFTC: case TYPE_RSHIFT: e->retval = CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, size, shift); break; case TYPE_POPCOUNT: e->retval = (* (unsigned long (*)(ANYARGS)) CALLING_CONVENTIONS (function)) (e->s[0].p, size); break; case TYPE_HAMDIST: e->retval = (* (unsigned long (*)(ANYARGS)) CALLING_CONVENTIONS (function)) (e->s[0].p, e->s[1].p, size); break; case TYPE_SQRTREM: e->retval = (* (long (*)(ANYARGS)) CALLING_CONVENTIONS (function)) (e->d[0].p, e->d[1].p, e->s[0].p, size); break; case TYPE_ZERO: CALLING_CONVENTIONS (function) (e->d[0].p, size); break; case TYPE_GET_STR: { size_t sizeinbase, fill; char *dst; MPN_SIZEINBASE (sizeinbase, e->s[0].p, size, base); ASSERT_ALWAYS (sizeinbase <= d[0].size); fill = d[0].size - sizeinbase; if (d[0].high) { memset (e->d[0].p, 0xBA, fill); dst = (char *) e->d[0].p + fill; } else { dst = (char *) e->d[0].p; memset (dst + sizeinbase, 0xBA, fill); } if (POW2_P (base)) { e->retval = CALLING_CONVENTIONS (function) (dst, base, e->s[0].p, size); } else { refmpn_copy (e->d[1].p, e->s[0].p, size); e->retval = CALLING_CONVENTIONS (function) (dst, base, e->d[1].p, size); } refmpn_zero (e->d[1].p, size); /* clobbered or unused */ } break; case TYPE_INVERT: { mp_ptr scratch; TMP_DECL; TMP_MARK; scratch = TMP_ALLOC_LIMBS (mpn_invert_itch (size)); CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, size, scratch); TMP_FREE; } break; case TYPE_BINVERT: { mp_ptr scratch; TMP_DECL; TMP_MARK; scratch = TMP_ALLOC_LIMBS (mpn_binvert_itch (size)); CALLING_CONVENTIONS (function) (e->d[0].p, e->s[0].p, size, scratch); TMP_FREE; } break; #ifdef EXTRA_CALL EXTRA_CALL #endif default: printf ("Unknown routine type %d\n", choice->type); abort (); break; } } void pointer_setup (struct each_t *e) { int i, j; for (i = 0; i < NUM_DESTS; i++) { switch (tr->dst_size[i]) { case 0: case SIZE_RETVAL: /* will be adjusted later */ d[i].size = size; break; case SIZE_1: d[i].size = 1; break; case SIZE_2: d[i].size = 2; break; case SIZE_3: d[i].size = 3; break; case SIZE_PLUS_1: d[i].size = size+1; break; case SIZE_PLUS_MSIZE_SUB_1: d[i].size = size + tr->msize - 1; break; case SIZE_SUM: if (tr->size2) d[i].size = size + size2; else d[i].size = 2*size; break; case SIZE_SIZE2: d[i].size = size2; break; case SIZE_DIFF: d[i].size = size - size2; break; case SIZE_DIFF_PLUS_1: d[i].size = size - size2 + 1; break; case SIZE_CEIL_HALF: d[i].size = (size+1)/2; break; case SIZE_GET_STR: { mp_limb_t ff = GMP_NUMB_MAX; MPN_SIZEINBASE (d[i].size, &ff - (size-1), size, base); } break; default: printf ("Unrecognised dst_size type %d\n", tr->dst_size[i]); abort (); } } /* establish e->d[].p destinations */ for (i = 0; i < NUM_DESTS; i++) { mp_size_t offset = 0; /* possible room for overlapping sources */ for (j = 0; j < numberof (overlap->s); j++) if (overlap->s[j] == i) offset = MAX (offset, s[j].align); if (d[i].high) { if (tr->dst_bytes[i]) { e->d[i].p = (mp_ptr) ((char *) (e->d[i].region.ptr + e->d[i].region.size) - d[i].size - d[i].align); } else { e->d[i].p = e->d[i].region.ptr + e->d[i].region.size - d[i].size - d[i].align; if (tr->overlap == OVERLAP_LOW_TO_HIGH) e->d[i].p -= offset; } } else { if (tr->dst_bytes[i]) { e->d[i].p = (mp_ptr) ((char *) e->d[i].region.ptr + d[i].align); } else { e->d[i].p = e->d[i].region.ptr + d[i].align; if (tr->overlap == OVERLAP_HIGH_TO_LOW) e->d[i].p += offset; } } } /* establish e->s[].p sources */ for (i = 0; i < NUM_SOURCES; i++) { int o = overlap->s[i]; switch (o) { case -1: /* no overlap */ e->s[i].p = s[i].p; break; case 0: case 1: /* overlap with d[o] */ if (tr->overlap == OVERLAP_HIGH_TO_LOW) e->s[i].p = e->d[o].p - s[i].align; else if (tr->overlap == OVERLAP_LOW_TO_HIGH) e->s[i].p = e->d[o].p + s[i].align; else if (tr->size2 == SIZE_FRACTION) e->s[i].p = e->d[o].p + size2; else e->s[i].p = e->d[o].p; break; default: abort(); break; } } } void validate_fail (void) { if (tr->reference) { trap_location = TRAP_REF; call (&ref, tr->reference); trap_location = TRAP_NOWHERE; } print_all(); abort(); } void try_one (void) { int i; if (option_spinner) spinner(); spinner_count++; trap_location = TRAP_SETUPS; if (tr->divisor == DIVISOR_NORM) divisor |= GMP_NUMB_HIGHBIT; if (tr->divisor == DIVISOR_ODD) divisor |= 1; for (i = 0; i < NUM_SOURCES; i++) { if (s[i].high) s[i].p = s[i].region.ptr + s[i].region.size - SRC_SIZE(i) - s[i].align; else s[i].p = s[i].region.ptr + s[i].align; } pointer_setup (&ref); pointer_setup (&fun); ref.retval = 0x04152637; fun.retval = 0x8C9DAEBF; t_random (multiplier_N, tr->msize); for (i = 0; i < NUM_SOURCES; i++) { if (! tr->src[i]) continue; mprotect_region (&s[i].region, PROT_READ|PROT_WRITE); t_random (s[i].p, SRC_SIZE(i)); switch (tr->data) { case DATA_NON_ZERO: if (refmpn_zero_p (s[i].p, SRC_SIZE(i))) s[i].p[0] = 1; break; case DATA_MULTIPLE_DIVISOR: /* same number of low zero bits as divisor */ s[i].p[0] &= ~ LOW_ZEROS_MASK (divisor); refmpn_sub_1 (s[i].p, s[i].p, size, refmpn_mod_1 (s[i].p, size, divisor)); break; case DATA_GCD: /* s[1] no more bits than s[0] */ if (i == 1 && size2 == size) s[1].p[size-1] &= refmpn_msbone_mask (s[0].p[size-1]); /* high limb non-zero */ s[i].p[SRC_SIZE(i)-1] += (s[i].p[SRC_SIZE(i)-1] == 0); /* odd */ s[i].p[0] |= 1; break; case DATA_SRC0_ODD: if (i == 0) s[i].p[0] |= 1; break; case DATA_SRC1_ODD: if (i == 1) s[i].p[0] |= 1; break; case DATA_SRC1_HIGHBIT: if (i == 1) { if (tr->size2) s[i].p[size2-1] |= GMP_NUMB_HIGHBIT; else s[i].p[size-1] |= GMP_NUMB_HIGHBIT; } break; case DATA_SRC0_HIGHBIT: if (i == 0) { s[i].p[size-1] |= GMP_NUMB_HIGHBIT; } break; case DATA_UDIV_QRNND: s[i].p[1] %= divisor; break; } mprotect_region (&s[i].region, PROT_READ); } for (i = 0; i < NUM_DESTS; i++) { if (! tr->dst[i]) continue; if (tr->dst0_from_src1 && i==0) { mp_size_t copy = MIN (d[0].size, SRC_SIZE(1)); mp_size_t fill = MAX (0, d[0].size - copy); MPN_COPY (fun.d[0].p, s[1].region.ptr, copy); MPN_COPY (ref.d[0].p, s[1].region.ptr, copy); refmpn_fill (fun.d[0].p + copy, fill, DEADVAL); refmpn_fill (ref.d[0].p + copy, fill, DEADVAL); } else if (tr->dst_bytes[i]) { memset (ref.d[i].p, 0xBA, d[i].size); memset (fun.d[i].p, 0xBA, d[i].size); } else { refmpn_fill (ref.d[i].p, d[i].size, DEADVAL); refmpn_fill (fun.d[i].p, d[i].size, DEADVAL); } } for (i = 0; i < NUM_SOURCES; i++) { if (! tr->src[i]) continue; if (ref.s[i].p != s[i].p) { refmpn_copyi (ref.s[i].p, s[i].p, SRC_SIZE(i)); refmpn_copyi (fun.s[i].p, s[i].p, SRC_SIZE(i)); } } if (option_print) print_all(); if (tr->validate != NULL) { trap_location = TRAP_FUN; call (&fun, choice->function); trap_location = TRAP_NOWHERE; if (! CALLING_CONVENTIONS_CHECK ()) { print_all(); abort(); } (*tr->validate) (); } else { trap_location = TRAP_REF; call (&ref, tr->reference); trap_location = TRAP_FUN; call (&fun, choice->function); trap_location = TRAP_NOWHERE; if (! CALLING_CONVENTIONS_CHECK ()) { print_all(); abort(); } compare (); } } #define SIZE_ITERATION \ for (size = MAX3 (option_firstsize, \ choice->minsize, \ (tr->size == SIZE_ALLOW_ZERO) ? 0 : 1); \ size <= option_lastsize; \ size++) #define SIZE2_FIRST \ (tr->size2 == SIZE_2 ? 2 \ : tr->size2 == SIZE_FRACTION ? option_firstsize2 \ : tr->size2 ? \ MAX (choice->minsize, (option_firstsize2 != 0 \ ? option_firstsize2 : 1)) \ : 0) #define SIZE2_LAST \ (tr->size2 == SIZE_2 ? 2 \ : tr->size2 == SIZE_FRACTION ? FRACTION_COUNT-1 \ : tr->size2 ? size \ : 0) #define SIZE2_ITERATION \ for (size2 = SIZE2_FIRST; size2 <= SIZE2_LAST; size2++) #define ALIGN_COUNT(cond) ((cond) ? ALIGNMENTS : 1) #define ALIGN_ITERATION(w,n,cond) \ for (w[n].align = 0; w[n].align < ALIGN_COUNT(cond); w[n].align++) #define HIGH_LIMIT(cond) ((cond) != 0) #define HIGH_COUNT(cond) (HIGH_LIMIT (cond) + 1) #define HIGH_ITERATION(w,n,cond) \ for (w[n].high = 0; w[n].high <= HIGH_LIMIT(cond); w[n].high++) #define SHIFT_LIMIT \ ((unsigned long) (tr->shift ? GMP_NUMB_BITS -1 : 1)) #define SHIFT_ITERATION \ for (shift = 1; shift <= SHIFT_LIMIT; shift++) void try_many (void) { int i; { unsigned long total = 1; total *= option_repetitions; total *= option_lastsize; if (tr->size2 == SIZE_FRACTION) total *= FRACTION_COUNT; else if (tr->size2) total *= (option_lastsize+1)/2; total *= SHIFT_LIMIT; total *= MULTIPLIER_COUNT; total *= DIVISOR_COUNT; total *= CARRY_COUNT; total *= T_RAND_COUNT; total *= HIGH_COUNT (tr->dst[0]); total *= HIGH_COUNT (tr->dst[1]); total *= HIGH_COUNT (tr->src[0]); total *= HIGH_COUNT (tr->src[1]); total *= ALIGN_COUNT (tr->dst[0]); total *= ALIGN_COUNT (tr->dst[1]); total *= ALIGN_COUNT (tr->src[0]); total *= ALIGN_COUNT (tr->src[1]); total *= OVERLAP_COUNT; printf ("%s %lu\n", choice->name, total); } spinner_count = 0; for (i = 0; i < option_repetitions; i++) SIZE_ITERATION SIZE2_ITERATION SHIFT_ITERATION MULTIPLIER_ITERATION DIVISOR_ITERATION CARRY_ITERATION /* must be after divisor */ T_RAND_ITERATION HIGH_ITERATION(d,0, tr->dst[0]) HIGH_ITERATION(d,1, tr->dst[1]) HIGH_ITERATION(s,0, tr->src[0]) HIGH_ITERATION(s,1, tr->src[1]) ALIGN_ITERATION(d,0, tr->dst[0]) ALIGN_ITERATION(d,1, tr->dst[1]) ALIGN_ITERATION(s,0, tr->src[0]) ALIGN_ITERATION(s,1, tr->src[1]) OVERLAP_ITERATION try_one(); printf("\n"); } /* Usually print_all() doesn't show much, but it might give a hint as to where the function was up to when it died. */ void trap (int sig) { const char *name = "noname"; switch (sig) { case SIGILL: name = "SIGILL"; break; #ifdef SIGBUS case SIGBUS: name = "SIGBUS"; break; #endif case SIGSEGV: name = "SIGSEGV"; break; case SIGFPE: name = "SIGFPE"; break; } printf ("\n\nSIGNAL TRAP: %s\n", name); switch (trap_location) { case TRAP_REF: printf (" in reference function: %s\n", tr->reference_name); break; case TRAP_FUN: printf (" in test function: %s\n", choice->name); print_all (); break; case TRAP_SETUPS: printf (" in parameter setups\n"); print_all (); break; default: printf (" somewhere unknown\n"); break; } exit (1); } void try_init (void) { #if HAVE_GETPAGESIZE /* Prefer getpagesize() over sysconf(), since on SunOS 4 sysconf() doesn't know _SC_PAGESIZE. */ pagesize = getpagesize (); #else #if HAVE_SYSCONF if ((pagesize = sysconf (_SC_PAGESIZE)) == -1) { /* According to the linux man page, sysconf doesn't set errno */ fprintf (stderr, "Cannot get sysconf _SC_PAGESIZE\n"); exit (1); } #else Error, error, cannot get page size #endif #endif printf ("pagesize is 0x%lX bytes\n", pagesize); signal (SIGILL, trap); #ifdef SIGBUS signal (SIGBUS, trap); #endif signal (SIGSEGV, trap); signal (SIGFPE, trap); { int i; for (i = 0; i < NUM_SOURCES; i++) { malloc_region (&s[i].region, 2*option_lastsize+ALIGNMENTS-1); printf ("s[%d] %p to %p (0x%lX bytes)\n", i, (void *) (s[i].region.ptr), (void *) (s[i].region.ptr + s[i].region.size), (long) s[i].region.size * BYTES_PER_MP_LIMB); } #define INIT_EACH(e,es) \ for (i = 0; i < NUM_DESTS; i++) \ { \ malloc_region (&e.d[i].region, 2*option_lastsize+ALIGNMENTS-1); \ printf ("%s d[%d] %p to %p (0x%lX bytes)\n", \ es, i, (void *) (e.d[i].region.ptr), \ (void *) (e.d[i].region.ptr + e.d[i].region.size), \ (long) e.d[i].region.size * BYTES_PER_MP_LIMB); \ } INIT_EACH(ref, "ref"); INIT_EACH(fun, "fun"); } } int strmatch_wild (const char *pattern, const char *str) { size_t plen, slen; /* wildcard at start */ if (pattern[0] == '*') { pattern++; plen = strlen (pattern); slen = strlen (str); return (plen == 0 || (slen >= plen && memcmp (pattern, str+slen-plen, plen) == 0)); } /* wildcard at end */ plen = strlen (pattern); if (plen >= 1 && pattern[plen-1] == '*') return (memcmp (pattern, str, plen-1) == 0); /* no wildcards */ return (strcmp (pattern, str) == 0); } void try_name (const char *name) { int found = 0; int i; for (i = 0; i < numberof (choice_array); i++) { if (strmatch_wild (name, choice_array[i].name)) { choice = &choice_array[i]; tr = ¶m[choice->type]; try_many (); found = 1; } } if (!found) { printf ("%s unknown\n", name); /* exit (1); */ } } void usage (const char *prog) { int col = 0; int i; printf ("Usage: %s [options] function...\n", prog); printf (" -1 use limb data 1,2,3,etc\n"); printf (" -9 use limb data all 0xFF..FFs\n"); printf (" -a zeros use limb data all zeros\n"); printf (" -a ffs use limb data all 0xFF..FFs (same as -9)\n"); printf (" -a 2fd use data 0x2FFF...FFFD\n"); printf (" -p print each case tried (try this if seg faulting)\n"); printf (" -R seed random numbers from time()\n"); printf (" -r reps set repetitions (default %d)\n", DEFAULT_REPETITIONS); printf (" -s size starting size to test\n"); printf (" -S size2 starting size2 to test\n"); printf (" -s s1-s2 range of sizes to test\n"); printf (" -W don't show the spinner (use this in gdb)\n"); printf (" -z disable mprotect() redzones\n"); printf ("Default data is refmpn_random() and refmpn_random2().\n"); printf ("\n"); printf ("Functions that can be tested:\n"); for (i = 0; i < numberof (choice_array); i++) { if (col + 1 + strlen (choice_array[i].name) > 79) { printf ("\n"); col = 0; } printf (" %s", choice_array[i].name); col += 1 + strlen (choice_array[i].name); } printf ("\n"); exit(1); } int main (int argc, char *argv[]) { int i; /* unbuffered output */ setbuf (stdout, NULL); setbuf (stderr, NULL); /* default trace in hex, and in upper-case so can paste into bc */ mp_trace_base = -16; param_init (); { unsigned long seed = 123; int opt; while ((opt = getopt(argc, argv, "19a:b:E:pRr:S:s:Wz")) != EOF) { switch (opt) { case '1': /* use limb data values 1, 2, 3, ... etc */ option_data = DATA_SEQ; break; case '9': /* use limb data values 0xFFF...FFF always */ option_data = DATA_FFS; break; case 'a': if (strcmp (optarg, "zeros") == 0) option_data = DATA_ZEROS; else if (strcmp (optarg, "seq") == 0) option_data = DATA_SEQ; else if (strcmp (optarg, "ffs") == 0) option_data = DATA_FFS; else if (strcmp (optarg, "2fd") == 0) option_data = DATA_2FD; else { fprintf (stderr, "unrecognised data option: %s\n", optarg); exit (1); } break; case 'b': mp_trace_base = atoi (optarg); break; case 'E': /* re-seed */ sscanf (optarg, "%lu", &seed); printf ("Re-seeding with %lu\n", seed); break; case 'p': option_print = 1; break; case 'R': /* randomize */ seed = time (NULL); printf ("Seeding with %lu, re-run using \"-E %lu\"\n", seed, seed); break; case 'r': option_repetitions = atoi (optarg); break; case 's': { char *p; option_firstsize = strtol (optarg, 0, 0); if ((p = strchr (optarg, '-')) != NULL) option_lastsize = strtol (p+1, 0, 0); } break; case 'S': /* -S sets the starting size for the second of a two size routine (like mpn_mul_basecase) */ option_firstsize2 = strtol (optarg, 0, 0); break; case 'W': /* use this when running in the debugger */ option_spinner = 0; break; case 'z': /* disable redzones */ option_redzones = 0; break; case '?': usage (argv[0]); break; } } gmp_randinit_default (__gmp_rands); __gmp_rands_initialized = 1; gmp_randseed_ui (__gmp_rands, seed); } try_init(); if (argc <= optind) usage (argv[0]); for (i = optind; i < argc; i++) try_name (argv[i]); return 0; }