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/****************************************************************************/
/* Sail */
/* */
/* Sail and the Sail architecture models here, comprising all files and */
/* directories except the ASL-derived Sail code in the aarch64 directory, */
/* are subject to the BSD two-clause licence below. */
/* */
/* The ASL derived parts of the ARMv8.3 specification in */
/* aarch64/no_vector and aarch64/full are copyright ARM Ltd. */
/* */
/* Copyright (c) 2013-2021 */
/* Kathyrn Gray */
/* Shaked Flur */
/* Stephen Kell */
/* Gabriel Kerneis */
/* Robert Norton-Wright */
/* Christopher Pulte */
/* Peter Sewell */
/* Alasdair Armstrong */
/* Brian Campbell */
/* Thomas Bauereiss */
/* Anthony Fox */
/* Jon French */
/* Dominic Mulligan */
/* Stephen Kell */
/* Mark Wassell */
/* Alastair Reid (Arm Ltd) */
/* */
/* All rights reserved. */
/* */
/* This work was partially supported by EPSRC grant EP/K008528/1 <a */
/* href="http://www.cl.cam.ac.uk/users/pes20/rems">REMS: Rigorous */
/* Engineering for Mainstream Systems</a>, an ARM iCASE award, EPSRC IAA */
/* KTF funding, and donations from Arm. This project has received */
/* funding from the European Research Council (ERC) under the European */
/* Union’s Horizon 2020 research and innovation programme (grant */
/* agreement No 789108, ELVER). */
/* */
/* This software was developed by SRI International and the University of */
/* Cambridge Computer Laboratory (Department of Computer Science and */
/* Technology) under DARPA/AFRL contracts FA8650-18-C-7809 ("CIFV") */
/* and FA8750-10-C-0237 ("CTSRD"). */
/* */
/* SPDX-License-Identifier: BSD-2-Clause */
/****************************************************************************/
#ifndef _GNU_SOURCE
#define _GNU_SOURCE
#endif
#include<assert.h>
#include<inttypes.h>
#include<stdbool.h>
#include<stdio.h>
#include<stdlib.h>
#include<string.h>
#include<time.h>
#include"sail.h"
#ifdef __cplusplus
extern "C" {
#endif
// zero bits from high index, same semantics as bzhi intrinsic
uint64_t bzhi_u64(uint64_t bits, uint64_t len)
{
return bits & (UINT64_MAX >> (64 - len));
}
/*
* Temporary mpzs for use in functions below. To avoid conflicts, only
* use in functions that do not call other functions in this file.
*/
static sail_int sail_lib_tmp1, sail_lib_tmp2, sail_lib_tmp3;
static real sail_lib_tmp_real;
#define FLOAT_PRECISION 255
void setup_library(void)
{
srand(0x0);
mpz_init(sail_lib_tmp1);
mpz_init(sail_lib_tmp2);
mpz_init(sail_lib_tmp3);
mpq_init(sail_lib_tmp_real);
mpf_set_default_prec(FLOAT_PRECISION);
}
void cleanup_library(void)
{
mpz_clear(sail_lib_tmp1);
mpz_clear(sail_lib_tmp2);
mpz_clear(sail_lib_tmp3);
mpq_clear(sail_lib_tmp_real);
}
bool EQUAL(unit)(const unit a, const unit b)
{
return true;
}
unit UNDEFINED(unit)(const unit u)
{
return UNIT;
}
unit skip(const unit u)
{
return UNIT;
}
/* ***** Sail bit type ***** */
bool eq_bit(const fbits a, const fbits b)
{
return a == b;
}
/* ***** Sail booleans ***** */
bool EQUAL(bool)(const bool a, const bool b) {
return a == b;
}
bool UNDEFINED(bool)(const unit u) {
return false;
}
/* ***** Sail strings ***** */
void CREATE(sail_string)(sail_string *str)
{
char *istr = (char *) sail_malloc(1 * sizeof(char));
istr[0] = '\0';
*str = istr;
}
void RECREATE(sail_string)(sail_string *str)
{
sail_free(*str);
char *istr = (char *) sail_malloc(1 * sizeof(char));
istr[0] = '\0';
*str = istr;
}
void COPY(sail_string)(sail_string *str1, const_sail_string str2)
{
size_t len = strlen(str2);
*str1 = (sail_string)realloc(*str1, len + 1);
*str1 = strcpy(*str1, str2);
}
void KILL(sail_string)(sail_string *str)
{
sail_free(*str);
}
void dec_str(sail_string *str, const mpz_t n)
{
sail_free(*str);
gmp_asprintf(str, "%Zd", n);
}
void hex_str(sail_string *str, const mpz_t n)
{
sail_free(*str);
if (mpz_cmp_si(n, 0) < 0) {
mpz_t abs;
mpz_init(abs);
mpz_abs(abs, n);
gmp_asprintf(str, "-0x%Zx", abs);
mpz_clear(abs);
} else {
gmp_asprintf(str, "0x%Zx", n);
}
}
void hex_str_upper(sail_string *str, const mpz_t n)
{
sail_free(*str);
if (mpz_cmp_si(n, 0) < 0) {
mpz_t abs;
mpz_init(abs);
mpz_abs(abs, n);
gmp_asprintf(str, "-0x%ZX", abs);
mpz_clear(abs);
} else {
gmp_asprintf(str, "0x%ZX", n);
}
}
bool eq_string(const_sail_string str1, const_sail_string str2)
{
return strcmp(str1, str2) == 0;
}
bool EQUAL(sail_string)(const_sail_string str1, const_sail_string str2)
{
return strcmp(str1, str2) == 0;
}
void undefined_string(sail_string *str, const unit u) {}
void concat_str(sail_string *stro, const_sail_string str1, const_sail_string str2)
{
sail_string in1;
sail_string in2;
size_t in1_len = strlen(str1);
size_t in2_len = strlen(str2);
bool in1_free = false;
bool in2_free = false;
if (*stro == str1) {
in1 = (sail_string)sail_malloc(in1_len + 1);
strcpy(in1, str1);
in1_free = true;
} else {
in1 = (sail_string)str1;
}
if (*stro == str2) {
in2 = (sail_string)sail_malloc(in2_len + 1);
strcpy(in2, str2);
in2_free = true;
} else {
in2 = (sail_string)str2;
}
*stro = (sail_string)realloc(*stro, in1_len + in2_len + 1);
(*stro)[0] = '\0';
strcat(*stro, in1);
strcat(*stro, in2);
if (in1_free) sail_free(in1);
if (in2_free) sail_free(in2);
}
bool string_startswith(const_sail_string s, const_sail_string prefix)
{
return strstr(s, prefix) == s;
}
void string_length(sail_int *len, const_sail_string s)
{
mpz_set_ui(*len, strlen(s));
}
void string_drop(sail_string *dst, const_sail_string s, sail_int ns)
{
size_t len = strlen(s);
mach_int n = CREATE_OF(mach_int, sail_int)(ns);
if (len >= n) {
*dst = (sail_string)realloc(*dst, (len - n) + 1);
memcpy(*dst, s + n, len - n);
(*dst)[len - n] = '\0';
} else {
*dst = (sail_string)realloc(*dst, 1);
**dst = '\0';
}
}
void string_take(sail_string *dst, const_sail_string s, sail_int ns)
{
size_t len = strlen(s);
mach_int n = CREATE_OF(mach_int, sail_int)(ns);
mach_int to_copy;
if (len <= n) {
to_copy = len;
} else {
to_copy = n;
}
*dst = (sail_string)realloc(*dst, to_copy + 1);
memcpy(*dst, s, to_copy);
(*dst)[to_copy] = '\0';
}
/* ***** Sail integers ***** */
uint64_t sail_int_get_ui(const mpz_t op)
{
return mpz_get_ui(op);
}
bool EQUAL(mach_int)(const mach_int op1, const mach_int op2)
{
return op1 == op2;
}
#ifndef USE_INT128
void COPY(sail_int)(sail_int *rop, const sail_int op)
{
mpz_set(*rop, op);
}
void CREATE(sail_int)(sail_int *rop)
{
mpz_init(*rop);
}
void RECREATE(sail_int)(sail_int *rop)
{
mpz_set_ui(*rop, 0);
}
void KILL(sail_int)(sail_int *rop)
{
mpz_clear(*rop);
}
void CREATE_OF(sail_int, mach_int)(sail_int *rop, mach_int op)
{
mpz_init_set_si(*rop, op);
}
mach_int CREATE_OF(mach_int, sail_int)(const sail_int op)
{
return mpz_get_ui(op);
}
void RECREATE_OF(sail_int, mach_int)(sail_int *rop, mach_int op)
{
mpz_set_si(*rop, op);
}
void CREATE_OF(sail_int, sail_string)(sail_int *rop, const_sail_string str)
{
mpz_init_set_str(*rop, str, 10);
}
void CONVERT_OF(sail_int, sail_string)(sail_int *rop, const_sail_string str)
{
mpz_set_str(*rop, str, 10);
}
void RECREATE_OF(sail_int, sail_string)(mpz_t *rop, const_sail_string str)
{
mpz_set_str(*rop, str, 10);
}
mach_int CONVERT_OF(mach_int, sail_int)(const sail_int op)
{
return mpz_get_si(op);
}
void CONVERT_OF(sail_int, mach_int)(sail_int *rop, const mach_int op)
{
mpz_set_si(*rop, op);
}
bool eq_int(const sail_int op1, const sail_int op2)
{
return !abs(mpz_cmp(op1, op2));
}
bool EQUAL(sail_int)(const sail_int op1, const sail_int op2)
{
return !abs(mpz_cmp(op1, op2));
}
bool lt(const sail_int op1, const sail_int op2)
{
return mpz_cmp(op1, op2) < 0;
}
bool gt(const mpz_t op1, const mpz_t op2)
{
return mpz_cmp(op1, op2) > 0;
}
bool lteq(const mpz_t op1, const mpz_t op2)
{
return mpz_cmp(op1, op2) <= 0;
}
bool gteq(const mpz_t op1, const mpz_t op2)
{
return mpz_cmp(op1, op2) >= 0;
}
void shl_int(sail_int *rop, const sail_int op1, const sail_int op2)
{
mpz_mul_2exp(*rop, op1, mpz_get_ui(op2));
}
mach_int shl_mach_int(const mach_int op1, const mach_int op2)
{
return op1 << op2;
}
void shr_int(sail_int *rop, const sail_int op1, const sail_int op2)
{
mpz_fdiv_q_2exp(*rop, op1, mpz_get_ui(op2));
}
mach_int shr_mach_int(const mach_int op1, const mach_int op2)
{
return op1 >> op2;
}
void undefined_int(sail_int *rop, const int n)
{
mpz_set_ui(*rop, (uint64_t) n);
}
void undefined_nat(sail_int *rop, const unit u)
{
mpz_set_ui(*rop, 0);
}
void undefined_range(sail_int *rop, const sail_int l, const sail_int u)
{
mpz_set(*rop, l);
}
void add_int(sail_int *rop, const sail_int op1, const sail_int op2)
{
mpz_add(*rop, op1, op2);
}
void sub_int(sail_int *rop, const sail_int op1, const sail_int op2)
{
mpz_sub(*rop, op1, op2);
}
void sub_nat(sail_int *rop, const sail_int op1, const sail_int op2)
{
mpz_sub(*rop, op1, op2);
if (mpz_cmp_ui(*rop, 0) < 0ul) {
mpz_set_ui(*rop, 0ul);
}
}
void mult_int(sail_int *rop, const sail_int op1, const sail_int op2)
{
mpz_mul(*rop, op1, op2);
}
void ediv_int(sail_int *rop, const sail_int op1, const sail_int op2)
{
/* GMP doesn't have Euclidean division but we can emulate it using
flooring and ceiling division. */
if (mpz_sgn(op2) >= 0) {
mpz_fdiv_q(*rop, op1, op2);
} else {
mpz_cdiv_q(*rop, op1, op2);
}
}
void emod_int(sail_int *rop, const sail_int op1, const sail_int op2)
{
/* The documentation isn't that explicit but I think this is
Euclidean mod. */
mpz_mod(*rop, op1, op2);
}
void tdiv_int(sail_int *rop, const sail_int op1, const sail_int op2)
{
mpz_tdiv_q(*rop, op1, op2);
}
void tmod_int(sail_int *rop, const sail_int op1, const sail_int op2)
{
mpz_tdiv_r(*rop, op1, op2);
}
void fdiv_int(sail_int *rop, const sail_int op1, const sail_int op2)
{
mpz_fdiv_q(*rop, op1, op2);
}
void fmod_int(sail_int *rop, const sail_int op1, const sail_int op2)
{
mpz_fdiv_r(*rop, op1, op2);
}
void max_int(sail_int *rop, const sail_int op1, const sail_int op2)
{
if (lt(op1, op2)) {
mpz_set(*rop, op2);
} else {
mpz_set(*rop, op1);
}
}
void min_int(sail_int *rop, const sail_int op1, const sail_int op2)
{
if (gt(op1, op2)) {
mpz_set(*rop, op2);
} else {
mpz_set(*rop, op1);
}
}
void neg_int(sail_int *rop, const sail_int op)
{
mpz_neg(*rop, op);
}
void abs_int(sail_int *rop, const sail_int op)
{
mpz_abs(*rop, op);
}
void pow_int(sail_int *rop, const sail_int op1, const sail_int op2)
{
uint64_t n = mpz_get_ui(op2);
mpz_pow_ui(*rop, op1, n);
}
void pow2(sail_int *rop, const sail_int exp)
{
/* Assume exponent is never more than 2^64... */
uint64_t exp_ui = mpz_get_ui(exp);
mpz_t base;
mpz_init_set_ui(base, 2ul);
mpz_pow_ui(*rop, base, exp_ui);
mpz_clear(base);
}
#endif
/* ***** Sail bitvectors ***** */
bool EQUAL(fbits)(const fbits op1, const fbits op2)
{
return op1 == op2;
}
bool EQUAL(ref_fbits)(const fbits *op1, const fbits *op2)
{
return *op1 == *op2;
}
void CREATE(lbits)(lbits *rop)
{
rop->bits = (mpz_t *)sail_malloc(sizeof(mpz_t));
rop->len = 0;
mpz_init(*rop->bits);
}
void RECREATE(lbits)(lbits *rop)
{
rop->len = 0;
mpz_set_ui(*rop->bits, 0);
}
void COPY(lbits)(lbits *rop, const lbits op)
{
rop->len = op.len;
mpz_set(*rop->bits, *op.bits);
}
void KILL(lbits)(lbits *rop)
{
mpz_clear(*rop->bits);
sail_free(rop->bits);
}
void CREATE_OF(lbits, fbits)(lbits *rop, const uint64_t op, const uint64_t len, const bool direction)
{
rop->bits = (mpz_t *)sail_malloc(sizeof(mpz_t));
rop->len = len;
mpz_init_set_ui(*rop->bits, op);
}
fbits CREATE_OF(fbits, lbits)(const lbits op, const bool direction)
{
return mpz_get_ui(*op.bits);
}
sbits CREATE_OF(sbits, lbits)(const lbits op, const bool direction)
{
sbits rop;
rop.bits = mpz_get_ui(*op.bits);
rop.len = op.len;
return rop;
}
sbits CREATE_OF(sbits, fbits)(const fbits op, const uint64_t len, const bool direction)
{
sbits rop;
rop.bits = op;
rop.len = len;
return rop;
}
void RECREATE_OF(lbits, fbits)(lbits *rop, const uint64_t op, const uint64_t len, const bool direction)
{
rop->len = len;
mpz_set_ui(*rop->bits, op);
}
void CREATE_OF(lbits, sbits)(lbits *rop, const sbits op, const bool direction)
{
rop->bits = (mpz_t *)sail_malloc(sizeof(mpz_t));
rop->len = op.len;
mpz_init_set_ui(*rop->bits, op.bits);
}
void RECREATE_OF(lbits, sbits)(lbits *rop, const sbits op, const bool direction)
{
rop->len = op.len;
mpz_set_ui(*rop->bits, op.bits);
}
// Bitvector conversions
fbits CONVERT_OF(fbits, lbits)(const lbits op, const bool direction)
{
return mpz_get_ui(*op.bits);
}
fbits CONVERT_OF(fbits, sbits)(const sbits op, const bool direction)
{
return op.bits;
}
void CONVERT_OF(lbits, fbits)(lbits *rop, const fbits op, const uint64_t len, const bool direction)
{
rop->len = len;
// use safe_rshift to correctly handle the case when we have a 0-length vector.
mpz_set_ui(*rop->bits, op & safe_rshift(UINT64_MAX, 64 - len));
}
void CONVERT_OF(lbits, sbits)(lbits *rop, const sbits op, const bool direction)
{
rop->len = op.len;
mpz_set_ui(*rop->bits, op.bits & safe_rshift(UINT64_MAX, 64 - op.len));
}
sbits CONVERT_OF(sbits, fbits)(const fbits op, const uint64_t len, const bool direction)
{
sbits rop;
rop.len = len;
rop.bits = op;
return rop;
}
sbits CONVERT_OF(sbits, lbits)(const lbits op, const bool direction)
{
sbits rop;
rop.len = op.len;
rop.bits = mpz_get_ui(*op.bits);
return rop;
}
void UNDEFINED(lbits)(lbits *rop, const sail_int len)
{
zeros(rop, len);
}
fbits UNDEFINED(fbits)(const unit u) { return 0; }
sbits undefined_sbits(void)
{
sbits rop;
rop.bits = UINT64_C(0);
rop.len = UINT64_C(0);
return rop;
}
fbits safe_rshift(const fbits x, const fbits n)
{
if (n >= 64) {
return 0ul;
} else {
return x >> n;
}
}
void normalize_lbits(lbits *rop) {
/* TODO optimisation: keep a set of masks of various sizes handy */
mpz_set_ui(sail_lib_tmp1, 1);
mpz_mul_2exp(sail_lib_tmp1, sail_lib_tmp1, rop->len);
mpz_sub_ui(sail_lib_tmp1, sail_lib_tmp1, 1);
mpz_and(*rop->bits, *rop->bits, sail_lib_tmp1);
}
void append_64(lbits *rop, const lbits op, const fbits chunk)
{
rop->len = rop->len + 64ul;
mpz_mul_2exp(*rop->bits, *op.bits, 64ul);
mpz_add_ui(*rop->bits, *rop->bits, chunk);
}
void add_bits(lbits *rop, const lbits op1, const lbits op2)
{
rop->len = op1.len;
mpz_add(*rop->bits, *op1.bits, *op2.bits);
normalize_lbits(rop);
}
void sub_bits(lbits *rop, const lbits op1, const lbits op2)
{
assert(op1.len == op2.len);
rop->len = op1.len;
mpz_sub(*rop->bits, *op1.bits, *op2.bits);
normalize_lbits(rop);
}
void add_bits_int(lbits *rop, const lbits op1, const mpz_t op2)
{
rop->len = op1.len;
mpz_add(*rop->bits, *op1.bits, op2);
normalize_lbits(rop);
}
void sub_bits_int(lbits *rop, const lbits op1, const mpz_t op2)
{
rop->len = op1.len;
mpz_sub(*rop->bits, *op1.bits, op2);
normalize_lbits(rop);
}
void and_bits(lbits *rop, const lbits op1, const lbits op2)
{
assert(op1.len == op2.len);
rop->len = op1.len;
mpz_and(*rop->bits, *op1.bits, *op2.bits);
}
void or_bits(lbits *rop, const lbits op1, const lbits op2)
{
assert(op1.len == op2.len);
rop->len = op1.len;
mpz_ior(*rop->bits, *op1.bits, *op2.bits);
}
void xor_bits(lbits *rop, const lbits op1, const lbits op2)
{
assert(op1.len == op2.len);
rop->len = op1.len;
mpz_xor(*rop->bits, *op1.bits, *op2.bits);
}
void not_bits(lbits *rop, const lbits op)
{
rop->len = op.len;
mpz_set(*rop->bits, *op.bits);
for (mp_bitcnt_t i = 0; i < op.len; i++) {
mpz_combit(*rop->bits, i);
}
}
void mults_vec(lbits *rop, const lbits op1, const lbits op2)
{
mpz_t op1_int, op2_int;
mpz_init(op1_int);
mpz_init(op2_int);
sail_signed(&op1_int, op1);
sail_signed(&op2_int, op2);
rop->len = op1.len * 2;
mpz_mul(*rop->bits, op1_int, op2_int);
normalize_lbits(rop);
mpz_clear(op1_int);
mpz_clear(op2_int);
}
void mult_vec(lbits *rop, const lbits op1, const lbits op2)
{
rop->len = op1.len * 2;
mpz_mul(*rop->bits, *op1.bits, *op2.bits);
normalize_lbits(rop); /* necessary? */
}
void zeros(lbits *rop, const sail_int op)
{
rop->len = mpz_get_ui(op);
mpz_set_ui(*rop->bits, 0);
}
void zero_extend(lbits *rop, const lbits op, const sail_int len)
{
assert(op.len <= mpz_get_ui(len));
rop->len = mpz_get_ui(len);
mpz_set(*rop->bits, *op.bits);
}
fbits fast_zero_extend(const sbits op, const uint64_t n)
{
return op.bits;
}
void sign_extend(lbits *rop, const lbits op, const sail_int len)
{
assert(op.len <= mpz_get_ui(len));
rop->len = mpz_get_ui(len);
if(mpz_tstbit(*op.bits, op.len - 1)) {
mpz_set(*rop->bits, *op.bits);
for(mp_bitcnt_t i = rop->len - 1; i >= op.len; i--) {
mpz_setbit(*rop->bits, i);
}
} else {
mpz_set(*rop->bits, *op.bits);
}
}
fbits fast_sign_extend(const fbits op, const uint64_t n, const uint64_t m)
{
uint64_t rop = op;
if (op & (UINT64_C(1) << (n - 1))) {
for (uint64_t i = m - 1; i >= n; i--) {
rop = rop | (UINT64_C(1) << i);
}
return rop;
} else {
return rop;
}
}
fbits fast_sign_extend2(const sbits op, const uint64_t m)
{
uint64_t rop = op.bits;
if (op.bits & (UINT64_C(1) << (op.len - 1))) {
for (uint64_t i = m - 1; i >= op.len; i--) {
rop = rop | (UINT64_C(1) << i);
}
return rop;
} else {
return rop;
}
}
void length_lbits(sail_int *rop, const lbits op)
{
mpz_set_ui(*rop, op.len);
}
void count_leading_zeros(sail_int *rop, const lbits op)
{
if (mpz_cmp_ui(*op.bits, 0) == 0) {
mpz_set_ui(*rop, op.len);
} else {
size_t bits = mpz_sizeinbase(*op.bits, 2);
mpz_set_ui(*rop, op.len - bits);
}
}
void count_trailing_zeros(sail_int *rop, const lbits op)
{
if (mpz_cmp_ui(*op.bits, 0) == 0) {
mpz_set_ui(*rop, op.len);
} else {
mp_bitcnt_t ix = mpz_scan1(*op.bits, 0);
mpz_set_ui(*rop, ix);
}
}
bool eq_bits(const lbits op1, const lbits op2)
{
assert(op1.len == op2.len);
for (mp_bitcnt_t i = 0; i < op1.len; i++) {
if (mpz_tstbit(*op1.bits, i) != mpz_tstbit(*op2.bits, i)) return false;
}
return true;
}
bool EQUAL(lbits)(const lbits op1, const lbits op2)
{
return eq_bits(op1, op2);
}
bool EQUAL(ref_lbits)(const lbits *op1, const lbits *op2)
{
return eq_bits(*op1, *op2);
}
bool neq_bits(const lbits op1, const lbits op2)
{
assert(op1.len == op2.len);
for (mp_bitcnt_t i = 0; i < op1.len; i++) {
if (mpz_tstbit(*op1.bits, i) != mpz_tstbit(*op2.bits, i)) return true;
}
return false;
}
void vector_subrange_lbits(lbits *rop,
const lbits op,
const sail_int n_mpz,
const sail_int m_mpz)
{
uint64_t n = mpz_get_ui(n_mpz);
uint64_t m = mpz_get_ui(m_mpz);
rop->len = n - (m - 1ul);
mpz_fdiv_q_2exp(*rop->bits, *op.bits, m);
normalize_lbits(rop);
}
void vector_subrange_inc_lbits(lbits *rop,
const lbits op,
const sail_int n_mpz,
const sail_int m_mpz)
{
uint64_t n = mpz_get_ui(n_mpz);
uint64_t m = mpz_get_ui(m_mpz);
rop->len = m - (n - 1ul);
mpz_fdiv_q_2exp(*rop->bits, *op.bits, (op.len - 1) - m);
normalize_lbits(rop);
}
void sail_truncate(lbits *rop, const lbits op, const sail_int len)
{
assert(op.len >= mpz_get_ui(len));
rop->len = mpz_get_ui(len);
mpz_set(*rop->bits, *op.bits);
normalize_lbits(rop);
}
void sail_truncateLSB(lbits *rop, const lbits op, const sail_int len)
{
uint64_t rlen = mpz_get_ui(len);
assert(op.len >= rlen);
rop->len = rlen;
// similar to vector_subrange_lbits above -- right shift LSBs away
mpz_fdiv_q_2exp(*rop->bits, *op.bits, op.len - rlen);
normalize_lbits(rop);
}
fbits bitvector_access(const lbits op, const sail_int n_mpz)
{
uint64_t n = mpz_get_ui(n_mpz);
return (fbits) mpz_tstbit(*op.bits, n);
}
fbits bitvector_access_inc(const lbits op, const sail_int n_mpz)
{
uint64_t n = mpz_get_ui(n_mpz);
return (fbits) mpz_tstbit(*op.bits, (op.len - 1) - n);
}
fbits update_fbits(const fbits op, const uint64_t n, const fbits bit)
{
if ((bit & 1) == 1) {
return op | (bit << n);
} else {
return op & ~(bit << n);
}
}
void sail_unsigned(sail_int *rop, const lbits op)
{
/* Normal form of bv_t is always positive so just return the bits. */
mpz_set(*rop, *op.bits);
}
void sail_signed(sail_int *rop, const lbits op)
{
if (op.len == 0) {
mpz_set_ui(*rop, 0);
} else {
mp_bitcnt_t sign_bit = op.len - 1;
mpz_set(*rop, *op.bits);
if (mpz_tstbit(*op.bits, sign_bit) != 0) {
/* If sign bit is unset then we are done,
otherwise clear sign_bit and subtract 2**sign_bit */
mpz_set_ui(sail_lib_tmp1, 1);
mpz_mul_2exp(sail_lib_tmp1, sail_lib_tmp1, sign_bit); /* 2**sign_bit */
mpz_combit(*rop, sign_bit); /* clear sign_bit */
mpz_sub(*rop, *rop, sail_lib_tmp1);
}
}
}
mach_int fast_unsigned(const fbits op)
{
return (mach_int) op;
}
mach_int fast_signed(const fbits op, const uint64_t n)
{
if (op & (UINT64_C(1) << (n - 1))) {
uint64_t rop = op & ~(UINT64_C(1) << (n - 1));
return (mach_int) (rop - (UINT64_C(1) << (n - 1)));
} else {
return (mach_int) op;
}
}
void append(lbits *rop, const lbits op1, const lbits op2)
{
rop->len = op1.len + op2.len;
mpz_mul_2exp(*rop->bits, *op1.bits, op2.len);
mpz_ior(*rop->bits, *rop->bits, *op2.bits);
}
sbits append_sf(const sbits op1, const fbits op2, const uint64_t len)
{
sbits rop;
rop.bits = (op1.bits << len) | op2;
rop.len = op1.len + len;
return rop;
}
sbits append_fs(const fbits op1, const uint64_t len, const sbits op2)
{
sbits rop;
rop.bits = (op1 << op2.len) | op2.bits;
rop.len = len + op2.len;
return rop;
}
sbits append_ss(const sbits op1, const sbits op2)
{
sbits rop;
rop.bits = (op1.bits << op2.len) | op2.bits;
rop.len = op1.len + op2.len;
return rop;
}
void replicate_bits(lbits *rop, const lbits op1, const mpz_t op2)
{
uint64_t op2_ui = mpz_get_ui(op2);
rop->len = op1.len * op2_ui;
mpz_set_ui(*rop->bits, 0);
for (int i = 0; i < op2_ui; i++) {
mpz_mul_2exp(*rop->bits, *rop->bits, op1.len);
mpz_ior(*rop->bits, *rop->bits, *op1.bits);
}
}
uint64_t fast_replicate_bits(const uint64_t shift, const uint64_t v, const int64_t times)
{
uint64_t r = v;
for (int i = 1; i < times; ++i) {
r |= (r << shift);
}
return r;
}
// Takes a slice of the (two's complement) binary representation of
// integer n, starting at bit start, and of length len. With the
// argument in the following order:
//
// get_slice_int(len, n, start)
//
// For example:
//
// get_slice_int(8, 1680, 4) =
//
// 11 0
// V V
// get_slice_int(8, 0b0110_1001_0000, 4) = 0b0110_1001
// <-------^
// (8 bit) 4
//
void get_slice_int(lbits *rop, const sail_int len_mpz, const sail_int n, const sail_int start_mpz)
{
uint64_t start = mpz_get_ui(start_mpz);
uint64_t len = mpz_get_ui(len_mpz);
mpz_set_ui(*rop->bits, 0ul);
rop->len = len;
for (uint64_t i = 0; i < len; i++) {
if (mpz_tstbit(n, i + start)) mpz_setbit(*rop->bits, i);
}
}
// Set slice uses the same indexing scheme as get_slice_int, but it
// puts a bitvector slice into an integer rather than returning it.
void set_slice_int(sail_int *rop,
const sail_int len_mpz,
const sail_int n,
const sail_int start_mpz,
const lbits slice)
{
uint64_t start = mpz_get_ui(start_mpz);
mpz_set(*rop, n);
for (uint64_t i = 0; i < slice.len; i++) {
if (mpz_tstbit(*slice.bits, i)) {
mpz_setbit(*rop, i + start);
} else {
mpz_clrbit(*rop, i + start);
}
}
}
void update_lbits(lbits *rop, const lbits op, const sail_int n_mpz, const uint64_t bit)
{
uint64_t n = mpz_get_ui(n_mpz);
mpz_set(*rop->bits, *op.bits);
rop->len = op.len;
if (bit == UINT64_C(0)) {
mpz_clrbit(*rop->bits, n);
} else {
mpz_setbit(*rop->bits, n);
}
}
void update_lbits_inc(lbits *rop, const lbits op, const sail_int n_mpz, const uint64_t bit)
{
uint64_t n = mpz_get_ui(n_mpz);
mpz_set(*rop->bits, *op.bits);
rop->len = op.len;
if (bit == UINT64_C(0)) {
mpz_clrbit(*rop->bits, (op.len - 1) - n);
} else {
mpz_setbit(*rop->bits, (op.len - 1) - n);
}
}
void vector_update_subrange_lbits(lbits *rop,
const lbits op,
const sail_int n_mpz,
const sail_int m_mpz,
const lbits slice)
{
uint64_t n = mpz_get_ui(n_mpz);
uint64_t m = mpz_get_ui(m_mpz);
mpz_set(*rop->bits, *op.bits);
rop->len = op.len;
for (uint64_t i = 0; i < n - (m - 1ul); i++) {
if (mpz_tstbit(*slice.bits, i)) {
mpz_setbit(*rop->bits, i + m);
} else {
mpz_clrbit(*rop->bits, i + m);
}
}
}
void vector_update_subrange_inc_lbits(lbits *rop,
const lbits op,
const sail_int n_mpz,
const sail_int m_mpz,
const lbits slice)
{
uint64_t n = mpz_get_ui(n_mpz);
uint64_t m = mpz_get_ui(m_mpz);
mpz_set(*rop->bits, *op.bits);
rop->len = op.len;
for (uint64_t i = 0; i < m - (n - 1ul); i++) {
uint64_t out_bit = ((op.len - 1) - m) + i;
if (mpz_tstbit(*slice.bits, (slice.len - 1) - i)) {
mpz_setbit(*rop->bits, out_bit);
} else {
mpz_clrbit(*rop->bits, out_bit);
}
}
}
fbits fast_update_subrange(const fbits op,
const mach_int n,
const mach_int m,
const fbits slice)
{
fbits rop = op;
for (mach_int i = 0; i < n - (m - UINT64_C(1)); i++) {
uint64_t bit = UINT64_C(1) << ((uint64_t) i);
if (slice & bit) {
rop |= (bit << m);
} else {
rop &= ~(bit << m);
}
}
return rop;
}
void slice(lbits *rop, const lbits op, const sail_int start_mpz, const sail_int len_mpz)
{
assert(mpz_get_ui(start_mpz) + mpz_get_ui(len_mpz) <= op.len);
uint64_t start = mpz_get_ui(start_mpz);
uint64_t len = mpz_get_ui(len_mpz);
mpz_set_ui(*rop->bits, 0);
rop->len = len;
for (uint64_t i = 0; i < len; i++) {
if (mpz_tstbit(*op.bits, i + start)) mpz_setbit(*rop->bits, i);
}
}
void slice_inc(lbits *rop, const lbits op, const sail_int start_mpz, const sail_int len_mpz)
{
assert(mpz_get_ui(start_mpz) + mpz_get_ui(len_mpz) <= op.len);
uint64_t start = mpz_get_ui(start_mpz);
uint64_t len = mpz_get_ui(len_mpz);
mpz_set_ui(*rop->bits, 0);
rop->len = len;
for (uint64_t i = 0; i < len; i++) {
if (mpz_tstbit(*op.bits, ((op.len - 1) - start) - i)) mpz_setbit(*rop->bits, (rop->len - 1) - i);
}
}
sbits sslice(const fbits op, const mach_int start, const mach_int len)
{
sbits rop;
rop.bits = bzhi_u64(op >> start, len);
rop.len = len;
return rop;
}
void set_slice(lbits *rop,
const sail_int len_mpz,
const sail_int slen_mpz,
const lbits op,
const sail_int start_mpz,
const lbits slice)
{
uint64_t start = mpz_get_ui(start_mpz);
mpz_set(*rop->bits, *op.bits);
rop->len = op.len;
for (uint64_t i = 0; i < slice.len; i++) {
if (mpz_tstbit(*slice.bits, i)) {
mpz_setbit(*rop->bits, i + start);
} else {
mpz_clrbit(*rop->bits, i + start);
}
}
}
void shift_bits_left(lbits *rop, const lbits op1, const lbits op2)
{
rop->len = op1.len;
mpz_mul_2exp(*rop->bits, *op1.bits, mpz_get_ui(*op2.bits));
normalize_lbits(rop);
}
void shift_bits_right(lbits *rop, const lbits op1, const lbits op2)
{
rop->len = op1.len;
mpz_tdiv_q_2exp(*rop->bits, *op1.bits, mpz_get_ui(*op2.bits));
}
/* FIXME */
void shift_bits_right_arith(lbits *rop, const lbits op1, const lbits op2)
{
rop->len = op1.len;
mp_bitcnt_t shift_amt = mpz_get_ui(*op2.bits);
mp_bitcnt_t sign_bit = op1.len - 1;
mpz_fdiv_q_2exp(*rop->bits, *op1.bits, shift_amt);
if(mpz_tstbit(*op1.bits, sign_bit) != 0) {
/* */
for(; shift_amt > 0; shift_amt--) {
mpz_setbit(*rop->bits, sign_bit - shift_amt + 1);
}
}
}
void arith_shiftr(lbits *rop, const lbits op1, const sail_int op2)
{
rop->len = op1.len;
mp_bitcnt_t shift_amt = mpz_get_ui(op2);
mp_bitcnt_t sign_bit = op1.len - 1;
mpz_fdiv_q_2exp(*rop->bits, *op1.bits, shift_amt);
if(mpz_tstbit(*op1.bits, sign_bit) != 0) {
/* */
for(; shift_amt > 0; shift_amt--) {
mpz_setbit(*rop->bits, sign_bit - shift_amt + 1);
}
}
}
void shiftl(lbits *rop, const lbits op1, const sail_int op2)
{
rop->len = op1.len;
mpz_mul_2exp(*rop->bits, *op1.bits, mpz_get_ui(op2));
normalize_lbits(rop);
}
void shiftr(lbits *rop, const lbits op1, const sail_int op2)
{
rop->len = op1.len;
mpz_tdiv_q_2exp(*rop->bits, *op1.bits, mpz_get_ui(op2));
}
void reverse_endianness(lbits *rop, const lbits op)
{
rop->len = op.len;
if (rop->len == 64ul) {
uint64_t x = mpz_get_ui(*op.bits);
x = (x & 0xFFFFFFFF00000000) >> 32 | (x & 0x00000000FFFFFFFF) << 32;
x = (x & 0xFFFF0000FFFF0000) >> 16 | (x & 0x0000FFFF0000FFFF) << 16;
x = (x & 0xFF00FF00FF00FF00) >> 8 | (x & 0x00FF00FF00FF00FF) << 8;
mpz_set_ui(*rop->bits, x);
} else if (rop->len == 32ul) {
uint64_t x = mpz_get_ui(*op.bits);
x = (x & 0xFFFF0000FFFF0000) >> 16 | (x & 0x0000FFFF0000FFFF) << 16;
x = (x & 0xFF00FF00FF00FF00) >> 8 | (x & 0x00FF00FF00FF00FF) << 8;
mpz_set_ui(*rop->bits, x);
} else if (rop->len == 16ul) {
uint64_t x = mpz_get_ui(*op.bits);
x = (x & 0xFF00FF00FF00FF00) >> 8 | (x & 0x00FF00FF00FF00FF) << 8;
mpz_set_ui(*rop->bits, x);
} else if (rop->len == 8ul) {
mpz_set(*rop->bits, *op.bits);
} else {
/* For other numbers of bytes we reverse the bytes.
* XXX could use mpz_import/export for this. */
mpz_set_ui(sail_lib_tmp1, 0xff); // byte mask
mpz_set_ui(*rop->bits, 0); // reset accumulator for result
for(mp_bitcnt_t byte = 0; byte < op.len; byte+=8) {
mpz_tdiv_q_2exp(sail_lib_tmp2, *op.bits, byte); // shift byte to bottom
mpz_and(sail_lib_tmp2, sail_lib_tmp2, sail_lib_tmp1); // and with mask
mpz_mul_2exp(*rop->bits, *rop->bits, 8); // shift result left 8
mpz_ior(*rop->bits, *rop->bits, sail_lib_tmp2); // or byte into result
}
}
}
bool eq_sbits(const sbits op1, const sbits op2)
{
return op1.bits == op2.bits;
}
bool neq_sbits(const sbits op1, const sbits op2)
{
return op1.bits != op2.bits;
}
sbits not_sbits(const sbits op)
{
sbits rop;
rop.bits = (~op.bits) & bzhi_u64(UINT64_MAX, op.len);
rop.len = op.len;
return rop;
}
sbits xor_sbits(const sbits op1, const sbits op2)
{
sbits rop;
rop.bits = op1.bits ^ op2.bits;
rop.len = op1.len;
return rop;
}
sbits or_sbits(const sbits op1, const sbits op2)
{
sbits rop;
rop.bits = op1.bits | op2.bits;
rop.len = op1.len;
return rop;
}
sbits and_sbits(const sbits op1, const sbits op2)
{
sbits rop;
rop.bits = op1.bits & op2.bits;
rop.len = op1.len;
return rop;
}
sbits add_sbits(const sbits op1, const sbits op2)
{
sbits rop;
rop.bits = (op1.bits + op2.bits) & bzhi_u64(UINT64_MAX, op1.len);
rop.len = op1.len;
return rop;
}
sbits sub_sbits(const sbits op1, const sbits op2)
{
sbits rop;
rop.bits = (op1.bits - op2.bits) & bzhi_u64(UINT64_MAX, op1.len);
rop.len = op1.len;
return rop;
}
/* ***** Sail Reals ***** */
void CREATE(real)(real *rop)
{
mpq_init(*rop);
}
void RECREATE(real)(real *rop)
{
mpq_set_ui(*rop, 0, 1);
}
void KILL(real)(real *rop)
{
mpq_clear(*rop);
}
void COPY(real)(real *rop, const real op)
{
mpq_set(*rop, op);
}
void UNDEFINED(real)(real *rop, unit u)
{
mpq_set_ui(*rop, 0, 1);
}
void neg_real(real *rop, const real op)
{
mpq_neg(*rop, op);
}
void mult_real(real *rop, const real op1, const real op2) {
mpq_mul(*rop, op1, op2);
}
void sub_real(real *rop, const real op1, const real op2)
{
mpq_sub(*rop, op1, op2);
}
void add_real(real *rop, const real op1, const real op2)
{
mpq_add(*rop, op1, op2);
}
void div_real(real *rop, const real op1, const real op2)
{
mpq_div(*rop, op1, op2);
}
#define SQRT_PRECISION 30
/*
* sqrt_real first checks whether the numerator and denominator are both
* perfect squares (i.e. their square roots are integers), then it
* will return the exact square root. If that's not the case we use the
* Babylonian method to calculate the square root to SQRT_PRECISION decimal
* places.
*/
void sqrt_real(mpq_t *rop, const mpq_t op)
{
mpq_t tmp;
mpz_t tmp_z;
mpq_t p; /* previous estimate, p */
mpq_t n; /* next estimate, n */
mpq_init(tmp);
mpz_init(tmp_z);
mpq_init(p);
mpq_init(n);
/* calculate an initial guess using mpz_sqrt */
mpz_sqrt(tmp_z, mpq_numref(op));
mpq_set_num(p, tmp_z);
mpz_sqrt(tmp_z, mpq_denref(op));
mpq_set_den(p, tmp_z);
/* Check if op is a square */
mpq_mul(tmp, p, p);
if (mpq_cmp(tmp, op) == 0) {
mpq_set(*rop, p);
mpq_clear(tmp);
mpz_clear(tmp_z);
mpq_clear(p);
mpq_clear(n);
return;
}
/* initialise convergence based on SQRT_PRECISION */
/* convergence is the precision (in decimal places) we want to reach as a fraction 1/(10^precision) */
mpq_t convergence;
mpq_init(convergence);
mpz_set_ui(tmp_z, 10);
mpz_pow_ui(tmp_z, tmp_z, SQRT_PRECISION);
mpz_set_ui(mpq_numref(convergence), 1);
mpq_set_den(convergence, tmp_z);
/* if op < 1 then we switch to checking relative precision for convergence */
if (mpq_cmp_ui(op, 1, 1) < 0) {
mpq_mul(convergence, op, convergence);
}
while (true) {
// n = (p + op / p) / 2
mpq_div(tmp, op, p);
mpq_add(tmp, tmp, p);
mpq_div_2exp(n, tmp, 1);
/* calculate the difference between n and p */
mpq_sub(tmp, p, n);
mpq_abs(tmp, tmp);
/* if the difference is small enough, return */
if (mpq_cmp(tmp, convergence) < 0) {
mpq_set(*rop, n);
break;
}
mpq_swap(n, p);
}
mpq_clear(tmp);
mpz_clear(tmp_z);
mpq_clear(p);
mpq_clear(n);
mpq_clear(convergence);
}
void abs_real(real *rop, const real op)
{
mpq_abs(*rop, op);
}
void round_up(sail_int *rop, const real op)
{
mpz_cdiv_q(*rop, mpq_numref(op), mpq_denref(op));
}
void round_down(sail_int *rop, const real op)
{
mpz_fdiv_q(*rop, mpq_numref(op), mpq_denref(op));
}
void to_real(real *rop, const sail_int op)
{
mpq_set_z(*rop, op);
mpq_canonicalize(*rop);
}
bool EQUAL(real)(const real op1, const real op2)
{
return mpq_cmp(op1, op2) == 0;
}
bool lt_real(const real op1, const real op2)
{
return mpq_cmp(op1, op2) < 0;
}
bool gt_real(const real op1, const real op2)
{
return mpq_cmp(op1, op2) > 0;
}
bool lteq_real(const real op1, const real op2)
{
return mpq_cmp(op1, op2) <= 0;
}
bool gteq_real(const real op1, const real op2)
{
return mpq_cmp(op1, op2) >= 0;
}
void real_power(real *rop, const real base, const sail_int exp)
{
int64_t exp_si = mpz_get_si(exp);
mpz_set_ui(mpq_numref(*rop), 1);
mpz_set_ui(mpq_denref(*rop), 1);
real b;
mpq_init(b);
mpq_set(b, base);
int64_t pexp = llabs(exp_si);
while (pexp != 0) {
// invariant: rop * b^pexp == base^abs(exp)
if (pexp & 1) { // b^(e+1) = b * b^e
mpq_mul(*rop, *rop, b);
pexp -= 1;
} else { // b^(2e) = (b*b)^e
mpq_mul(b, b, b);
pexp >>= 1;
}
}
if (exp_si < 0) {
mpq_inv(*rop, *rop);
}
mpq_clear(b);
}
void CREATE_OF(real, sail_string)(real *rop, const_sail_string op)
{
int decimal;
int total;
mpq_init(*rop);
gmp_sscanf(op, "%Zd.%n%Zd%n", sail_lib_tmp1, &decimal, sail_lib_tmp2, &total);
int len = total - decimal;
mpz_ui_pow_ui(sail_lib_tmp3, 10, len);
mpz_set(mpq_numref(*rop), sail_lib_tmp2);
mpz_set(mpq_denref(*rop), sail_lib_tmp3);
mpq_canonicalize(*rop);
mpz_set(mpq_numref(sail_lib_tmp_real), sail_lib_tmp1);
mpz_set_ui(mpq_denref(sail_lib_tmp_real), 1);
mpq_add(*rop, *rop, sail_lib_tmp_real);
}
void CONVERT_OF(real, sail_string)(real *rop, const_sail_string op)
{
int decimal;
int total;
gmp_sscanf(op, "%Zd.%n%Zd%n", sail_lib_tmp1, &decimal, sail_lib_tmp2, &total);
int len = total - decimal;
mpz_ui_pow_ui(sail_lib_tmp3, 10, len);
mpz_set(mpq_numref(*rop), sail_lib_tmp2);
mpz_set(mpq_denref(*rop), sail_lib_tmp3);
mpq_canonicalize(*rop);
mpz_set(mpq_numref(sail_lib_tmp_real), sail_lib_tmp1);
mpz_set_ui(mpq_denref(sail_lib_tmp_real), 1);
mpq_add(*rop, *rop, sail_lib_tmp_real);
}
unit print_real(const_sail_string str, const real op)
{
gmp_printf("%s%Qd\n", str, op);
return UNIT;
}
unit prerr_real(const_sail_string str, const real op)
{
gmp_fprintf(stderr, "%s%Qd\n", str, op);
return UNIT;
}
void random_real(real *rop, const unit u)
{
if (rand() & 1) {
mpz_set_si(mpq_numref(*rop), rand());
} else {
mpz_set_si(mpq_numref(*rop), -rand());
}
mpz_set_si(mpq_denref(*rop), rand());
mpq_canonicalize(*rop);
}
/* ***** Printing functions ***** */
void string_of_int(sail_string *str, const sail_int i)
{
sail_free(*str);
gmp_asprintf(str, "%Zd", i);
}
/* asprintf is a GNU extension, but it should exist on BSD */
void string_of_fbits(sail_string *str, const fbits op)
{
sail_free(*str);
int bytes = asprintf(str, "0x%" PRIx64, op);
if (bytes == -1) {
fprintf(stderr, "Could not print bits 0x%" PRIx64 "\n", op);
}
}
void string_of_lbits(sail_string *str, const lbits op)
{
sail_free(*str);
if ((op.len % 4) == 0) {
gmp_asprintf(str, "0x%*0ZX", op.len / 4, *op.bits);
} else {
*str = (char *) sail_malloc((op.len + 3) * sizeof(char));
(*str)[0] = '0';
(*str)[1] = 'b';
for (int i = 1; i <= op.len; ++i) {
(*str)[i + 1] = mpz_tstbit(*op.bits, op.len - i) + 0x30;
}
(*str)[op.len + 2] = '\0';
}
}
void decimal_string_of_fbits(sail_string *str, const fbits op)
{
sail_free(*str);
int bytes = asprintf(str, "%" PRId64, op);
if (bytes == -1) {
fprintf(stderr, "Could not print bits %" PRId64 "\n", op);
}
}
void decimal_string_of_lbits(sail_string *str, const lbits op)
{
sail_free(*str);
gmp_asprintf(str, "%Z", *op.bits);
}
void parse_dec_bits(lbits *res, const mpz_t n, const_sail_string dec)
{
if (!valid_dec_bits(n, dec)) {
goto failure;
}
mpz_t value;
mpz_init(value);
if (mpz_set_str(value, dec, 10) == 0) {
res->len = mpz_get_ui(n);
mpz_set(*(res->bits), value);
mpz_clear(value);
return;
}
mpz_clear(value);
failure:
res->len = mpz_get_ui(n);
mpz_set_ui(*(res->bits), 0);
}
bool valid_dec_bits(const mpz_t n, const_sail_string dec)
{
size_t len = strlen(dec);
if (len < 1) {
return false;
}
for (size_t i = 0; i < len; i++) {
if (!('0' <= dec[i] && dec[i] <= '9')) {
return false;
}
}
mpz_t value;
mpz_init(value);
if (mpz_set_str(value, dec, 10) != 0) {
mpz_clear(value);
return false;
}
size_t bit_width = mpz_sizeinbase(value, 2);
bool valid = (bit_width <= mpz_get_ui(n));
mpz_clear(value);
return valid;
}
void parse_hex_bits(lbits *res, const mpz_t n, const_sail_string hex)
{
if (!valid_hex_bits(n, hex)) {
goto failure;
}
mpz_t value;
mpz_init(value);
if (mpz_set_str(value, hex + 2, 16) == 0) {
res->len = mpz_get_ui(n);
mpz_set(*res->bits, value);
mpz_clear(value);
return;
}
mpz_clear(value);
// On failure, we return a zero bitvector of the correct width
failure:
res->len = mpz_get_ui(n);
mpz_set_ui(*res->bits, 0);
}
bool valid_hex_bits(const mpz_t n, const_sail_string hex) {
// The string must be prefixed by '0x'
if (strncmp(hex, "0x", 2) != 0) {
return false;
}
size_t len = strlen(hex);
// There must be at least one character after the '0x'
if (len < 3) {
return false;
}
// Ignore any leading zeros
int non_zero = 2;
while (hex[non_zero] == '0' && non_zero < len - 1) {
non_zero++;
}
// Check how many bits we need for the first-non-zero (fnz) character.
int fnz_width;
char fnz = hex[non_zero];
if (fnz == '0') {
fnz_width = 0;
} else if (fnz == '1') {
fnz_width = 1;
} else if (fnz >= '2' && fnz <= '3') {
fnz_width = 2;
} else if (fnz >= '4' && fnz <= '7') {
fnz_width = 3;
} else {
fnz_width = 4;
}
// The width of the hex string is the width of the first non zero,
// plus 4 times the remaining hex digits
int hex_width = fnz_width + ((len - (non_zero + 1)) * 4);
if (mpz_cmp_si(n, hex_width) < 0) {
return false;
}
// All the non-zero characters must be valid hex digits
for (int i = non_zero; i < len; i++) {
char c = hex[i];
if (!((c >= '0' && c <= '9') || (c >= 'a' && c <= 'f') || (c >= 'A' && c <= 'F'))) {
return false;
}
}
return true;
}
void fprint_bits(const_sail_string pre,
const lbits op,
const_sail_string post,
FILE *stream)
{
fputs(pre, stream);
if (op.len % 4 == 0) {
fputs("0x", stream);
mpz_t buf;
mpz_init_set(buf, *op.bits);
char *hex = (char *)sail_malloc((op.len / 4) * sizeof(char));
for (int i = 0; i < op.len / 4; ++i) {
char c = (char) ((0xF & mpz_get_ui(buf)) + 0x30);
hex[i] = (c < 0x3A) ? c : c + 0x7;
mpz_fdiv_q_2exp(buf, buf, 4);
}
for (int i = op.len / 4; i > 0; --i) {
fputc(hex[i - 1], stream);
}
sail_free(hex);
mpz_clear(buf);
} else {
fputs("0b", stream);
for (int i = op.len; i > 0; --i) {
fputc(mpz_tstbit(*op.bits, i - 1) + 0x30, stream);
}
}
fputs(post, stream);
}
unit print_bits(const_sail_string str, const lbits op)
{
fprint_bits(str, op, "\n", stdout);
return UNIT;
}
unit prerr_bits(const_sail_string str, const lbits op)
{
fprint_bits(str, op, "\n", stderr);
return UNIT;
}
unit print(const_sail_string str)
{
printf("%s", str);
return UNIT;
}
unit print_endline(const_sail_string str)
{
printf("%s\n", str);
return UNIT;
}
unit prerr(const_sail_string str)
{
fprintf(stderr, "%s", str);
return UNIT;
}
unit prerr_endline(const_sail_string str)
{
fprintf(stderr, "%s\n", str);
return UNIT;
}
unit print_int(const_sail_string str, const sail_int op)
{
fputs(str, stdout);
mpz_out_str(stdout, 10, op);
putchar('\n');
return UNIT;
}
unit prerr_int(const_sail_string str, const sail_int op)
{
fputs(str, stderr);
mpz_out_str(stderr, 10, op);
fputs("\n", stderr);
return UNIT;
}
unit sail_putchar(const sail_int op)
{
char c = (char) mpz_get_ui(op);
putchar(c);
fflush(stdout);
return UNIT;
}
void get_time_ns(sail_int *rop, const unit u)
{
struct timespec t;
clock_gettime(CLOCK_REALTIME, &t);
mpz_set_si(*rop, t.tv_sec);
mpz_mul_ui(*rop, *rop, 1000000000);
mpz_add_ui(*rop, *rop, t.tv_nsec);
}
// ARM specific optimisations
void arm_align(lbits *rop, const lbits x_bv, const sail_int y_mpz)
{
uint64_t x = mpz_get_ui(*x_bv.bits);
uint64_t y = mpz_get_ui(y_mpz);
uint64_t z = y * (x / y);
mp_bitcnt_t n = x_bv.len;
mpz_set_ui(*rop->bits, safe_rshift(UINT64_MAX, 64l - (n - 1)) & z);
rop->len = n;
}
// Monomorphisation
void make_the_value(sail_int *rop, const sail_int op)
{
mpz_set(*rop, op);
}
void size_itself_int(sail_int *rop, const sail_int op)
{
mpz_set(*rop, op);
}
#ifdef __cplusplus
}
#endif
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