/* test_foundation.c -- the first DECOMPOSITION.md definitions, executed. * * Section 4 says of its colon definitions that each "has been traced by hand, * but none has been executed". This file assembles the helpers, the sign and * zero tests, U< and UM* exactly as written there (plus 2DUP and - from * section 5, which U< needs) and runs them on the golden model against the C * operation each one stands for. * * Every call is made with a canary under the arguments, and the canary must * still be directly under the results afterwards: a definition that leaves * the right answer but an unbalanced stack is wrong. */ #include "v4/asm.h" #include "v4/testcode.h" #include "v4/umul.h" #include static int failures = 0, checks = 0; #define CHECK(c,...) do{checks++; if(!(c)){failures++; printf("FAIL %s:%d: ",__FILE__,__LINE__); printf(__VA_ARGS__); printf("\n");}}while(0) #define CANARY ((v4_cell)0x0C0FFEE5) #define MAXU ((v4_ucell)~(v4_ucell)0) #define FLAG(c) ((c) ? V4_ALL_ONES : (v4_cell)0) static v4_node n; static v4_exec_state es; static v4_heat h; static v4_asm as; static v4_cell w_nip, w_swap, w_or, w_negate, w_rot, w_zless, w_zequal, w_2dup, w_minus, w_uless, w_umstar; #define O(name) v4_asm_op(&as, V4_OP_##name) #define LIT(v) v4_asm_lit(&as, (v4_cell)(v)) #define CALL(w) v4_asm_branch(&as, V4_OP_CALL, (w)) static void build(void) { v4_asm_ref ref; v4_node_reset(&n); v4_asm_begin(&as, &n, 16); /* : NIP push drop pop ; */ w_nip = v4_asm_label(&as); O(PUSH); O(DROP); O(RPOP); O(SEMI); /* : SWAP over push push drop pop pop ; */ w_swap = v4_asm_label(&as); O(OVER); O(PUSH); O(PUSH); O(DROP); O(RPOP); O(RPOP); O(SEMI); /* : OR over inv and xor ; */ w_or = v4_asm_label(&as); O(OVER); O(INV); O(AND); O(XOR); O(SEMI); /* : NEGATE inv 1 + ; */ w_negate = v4_asm_label(&as); O(INV); LIT(1); O(ADD); O(SEMI); /* : ROT push SWAP pop SWAP ; */ w_rot = v4_asm_label(&as); O(PUSH); CALL(w_swap); O(RPOP); CALL(w_swap); O(SEMI); /* : 0< -if L1 drop -1 ; L1: drop 0 ; */ w_zless = v4_asm_label(&as); ref = v4_asm_branch_fwd(&as, V4_OP_MINUS_IF); O(DROP); LIT(-1); O(SEMI); v4_asm_resolve(&as, ref, v4_asm_label(&as)); O(DROP); LIT(0); O(SEMI); /* : 0= if L1 drop 0 ; L1: drop -1 ; */ w_zequal = v4_asm_label(&as); ref = v4_asm_branch_fwd(&as, V4_OP_IF); O(DROP); LIT(0); O(SEMI); v4_asm_resolve(&as, ref, v4_asm_label(&as)); O(DROP); LIT(-1); O(SEMI); /* : 2DUP over over ; (section 5.1) */ w_2dup = v4_asm_label(&as); O(OVER); O(OVER); O(SEMI); /* : - NEGATE + ; (section 5.4), NEGATE in line */ w_minus = v4_asm_label(&as); O(INV); LIT(1); O(ADD); O(ADD); O(SEMI); /* : U< 2DUP xor 0< IF NIP 0< ELSE - 0< THEN ; * with section 2's IF: the flag is dropped on both arms. */ w_uless = v4_asm_label(&as); CALL(w_2dup); O(XOR); CALL(w_zless); ref = v4_asm_branch_fwd(&as, V4_OP_IF); O(DROP); CALL(w_nip); CALL(w_zless); O(SEMI); v4_asm_resolve(&as, ref, v4_asm_label(&as)); O(DROP); CALL(w_minus); CALL(w_zless); O(SEMI); /* : UM* a! 0 31 FOR +* UNEXT push drop a pop ; * 31 is the cell width less one; written for a 32-bit cell in section 4. * The loop body is the start of its own word so that unext restarts it. */ w_umstar = v4_asm_label(&as); O(BANG_A); LIT(0); LIT(V4_CELL_BITS - 1); O(PUSH); (void)v4_asm_label(&as); O(MUL_STEP); O(UNEXT); O(PUSH); O(DROP); O(PUSH_A); O(RPOP); O(SEMI); CHECK(v4_asm_ok(&as), "foundation words assemble"); } /* Call `word` with a canary and up to three arguments on fresh stacks. */ static int call(v4_cell word, unsigned argc, v4_cell a, v4_cell b, v4_cell c) { v4_dstack_reset(&n.ds); v4_rstack_reset(&n.rs); v4_exec_reset(&es); v4_heat_reset(&h); v4_dstack_push(&n.ds, CANARY); if (argc > 0) v4_dstack_push(&n.ds, a); if (argc > 1) v4_dstack_push(&n.ds, b); if (argc > 2) v4_dstack_push(&n.ds, c); return v4_test_call(&n, &es, &h, word, 1000) > 0; } /* The results, top first, then the canary. */ static int left1(v4_cell t) { return n.ds.t == t && n.ds.s == CANARY; } static int left2(v4_cell s, v4_cell t) { if (n.ds.t != t || n.ds.s != s) return 0; (void)v4_dstack_pop(&n.ds); return n.ds.s == CANARY; } static int left3(v4_cell third, v4_cell s, v4_cell t) { if (n.ds.t != t) return 0; (void)v4_dstack_pop(&n.ds); return left2(third, s); } static const v4_cell vec[] = { 0, 1, 2, 3, -1, -2, 12345, -12345, (v4_cell)(V4_MSB - 1u), (v4_cell)V4_MSB, (v4_cell)(V4_MSB + 1u), (v4_cell)(V4_MSB >> 1), (v4_cell)((V4_MSB >> 1) - 1u), (v4_cell)(MAXU / 3u), (v4_cell)(MAXU / 3u * 2u) }; #define NVEC (sizeof vec / sizeof vec[0]) /* Does UM* as written give the true product? */ static int umstar_exact(v4_ucell u1, v4_ucell u2) { v4_ucell lo, hi; v4_umul(u1, u2, &lo, &hi); return call(w_umstar, 2, (v4_cell)u1, (v4_cell)u2, 0) && left2((v4_cell)lo, (v4_cell)hi); } int main(void) { printf("v4 foundation tests: V4_CELL_BITS=%d\n", V4_CELL_BITS); build(); for (unsigned i = 0; i < NVEC; i++) { v4_cell a = vec[i]; v4_ucell ua = (v4_ucell)a; CHECK(call(w_negate, 1, a, 0, 0) && left1((v4_cell)(0u - ua)), "NEGATE [%u]", i); CHECK(call(w_zless, 1, a, 0, 0) && left1(FLAG(ua & V4_MSB)), "0< [%u]", i); CHECK(call(w_zequal, 1, a, 0, 0) && left1(FLAG(a == 0)), "0= [%u]", i); for (unsigned j = 0; j < NVEC; j++) { v4_cell b = vec[j]; v4_ucell ub = (v4_ucell)b; CHECK(call(w_nip, 2, a, b, 0) && left1(b), "NIP [%u,%u]", i, j); CHECK(call(w_swap, 2, a, b, 0) && left2(b, a), "SWAP [%u,%u]", i, j); CHECK(call(w_or, 2, a, b, 0) && left1((v4_cell)(ua | ub)), "OR [%u,%u]", i, j); CHECK(call(w_2dup, 2, a, b, 0) && n.ds.t == b && n.ds.s == a && (v4_dstack_pop(&n.ds), v4_dstack_pop(&n.ds), left2(a, b)), "2DUP [%u,%u]", i, j); CHECK(call(w_minus, 2, a, b, 0) && left1((v4_cell)(ua - ub)), "- [%u,%u]", i, j); CHECK(call(w_uless, 2, a, b, 0) && left1(FLAG(ua < ub)), "U< [%u,%u]", i, j); for (unsigned k = 0; k < NVEC; k++) { v4_cell c = vec[k]; CHECK(call(w_rot, 3, a, b, c) && left3(b, c, a), "ROT [%u,%u,%u]", i, j, k); } /* UM* as written is exact whenever the multiplicand (u1, which * stays in S) is at most 2^(n-2): T is then always below S, so * T+S stays below 2^(n-1) and neither the lost carry nor +*'s * sign-keeping shift can touch the result. u2 is unrestricted. */ if (ua <= (V4_MSB >> 1)) CHECK(umstar_exact(ua, ub), "UM* [%u,%u]", i, j); } } /* KNOWN LIMITS of UM* as written, recorded so they cannot be forgotten. * Section 4 marks UM* "NEEDS REVISION" and gives the limit as "operands * below 2^31". The measured limit is tighter and is on u1 only. These * two checks assert that the definition is still wrong where it is known * to be wrong; when UM* is rewritten they must be turned into ordinary * exactness checks. */ CHECK(!umstar_exact(MAXU, MAXU), "UM* limit: carry out of T is lost (D-3)"); CHECK(!umstar_exact(V4_MSB - 1u, 3u), "UM* limit: u1 below 2^(n-1) still fails"); CHECK(v4_node_guards_intact(&n), "guards intact"); printf(" %d checks, %d failures\n", checks, failures); return failures ? 1 : 0; }