yosys/kernel/calc.cc

481 lines
17 KiB
C++

/*
* yosys -- Yosys Open SYnthesis Suite
*
* Copyright (C) 2012 Clifford Wolf <clifford@clifford.at>
*
* Permission to use, copy, modify, and/or distribute this software for any
* purpose with or without fee is hereby granted, provided that the above
* copyright notice and this permission notice appear in all copies.
*
* THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
* WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
* MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
* ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
* WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN
* ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
* OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*
*/
#include "kernel/log.h"
#include "kernel/rtlil.h"
#include "libs/bigint/BigIntegerLibrary.hh"
#include <assert.h>
static void extend(RTLIL::Const &arg, int width, bool is_signed)
{
RTLIL::State padding = RTLIL::State::S0;
if (arg.bits.size() > 0 && (is_signed || arg.bits.back() > RTLIL::State::S1))
padding = arg.bits.back();
while (int(arg.bits.size()) < width)
arg.bits.push_back(padding);
}
static BigInteger const2big(const RTLIL::Const &val, bool as_signed, int &undef_bit_pos)
{
BigInteger result = 0, this_bit = 1;
for (size_t i = 0; i < val.bits.size(); i++) {
if (val.bits[i] == RTLIL::State::S1) {
if (as_signed && i+1 == val.bits.size())
result -= this_bit;
else
result += this_bit;
}
else if (val.bits[i] != RTLIL::State::S0) {
if (undef_bit_pos < 0)
undef_bit_pos = i;
}
this_bit *= 2;
}
return result;
}
static RTLIL::Const big2const(const BigInteger &val, int result_len, int undef_bit_pos)
{
BigUnsigned mag = val.getMagnitude();
RTLIL::Const result(0, result_len);
if (!mag.isZero())
{
if (val.getSign() < 0)
{
mag--;
for (int i = 0; i < result_len; i++)
result.bits[i] = mag.getBit(i) ? RTLIL::State::S0 : RTLIL::State::S1;
}
else
{
for (int i = 0; i < result_len; i++)
result.bits[i] = mag.getBit(i) ? RTLIL::State::S1 : RTLIL::State::S0;
}
}
if (undef_bit_pos >= 0)
for (int i = undef_bit_pos; i < result_len; i++)
result.bits[i] = RTLIL::State::Sx;
return result;
}
static RTLIL::State logic_and(RTLIL::State a, RTLIL::State b)
{
if (a == RTLIL::State::S0) return RTLIL::State::S0;
if (b == RTLIL::State::S0) return RTLIL::State::S0;
if (a != RTLIL::State::S1) return RTLIL::State::Sx;
if (b != RTLIL::State::S1) return RTLIL::State::Sx;
return RTLIL::State::S1;
}
static RTLIL::State logic_or(RTLIL::State a, RTLIL::State b)
{
if (a == RTLIL::State::S1) return RTLIL::State::S1;
if (b == RTLIL::State::S1) return RTLIL::State::S1;
if (a != RTLIL::State::S0) return RTLIL::State::Sx;
if (b != RTLIL::State::S0) return RTLIL::State::Sx;
return RTLIL::State::S0;
}
static RTLIL::State logic_xor(RTLIL::State a, RTLIL::State b)
{
if (a != RTLIL::State::S0 && a != RTLIL::State::S1) return RTLIL::State::Sx;
if (b != RTLIL::State::S0 && b != RTLIL::State::S1) return RTLIL::State::Sx;
return a != b ? RTLIL::State::S1 : RTLIL::State::S0;
}
static RTLIL::State logic_xnor(RTLIL::State a, RTLIL::State b)
{
if (a != RTLIL::State::S0 && a != RTLIL::State::S1) return RTLIL::State::Sx;
if (b != RTLIL::State::S0 && b != RTLIL::State::S1) return RTLIL::State::Sx;
return a == b ? RTLIL::State::S1 : RTLIL::State::S0;
}
RTLIL::Const RTLIL::const_not(const RTLIL::Const &arg1, const RTLIL::Const&, bool signed1, bool, int result_len)
{
if (result_len < 0)
result_len = arg1.bits.size();
RTLIL::Const arg1_ext = arg1;
extend(arg1_ext, result_len, signed1);
RTLIL::Const result(RTLIL::State::Sx, result_len);
for (size_t i = 0; i < size_t(result_len); i++) {
if (i >= arg1_ext.bits.size())
result.bits[i] = RTLIL::State::S0;
else if (arg1_ext.bits[i] == RTLIL::State::S0)
result.bits[i] = RTLIL::State::S1;
else if (arg1_ext.bits[i] == RTLIL::State::S1)
result.bits[i] = RTLIL::State::S0;
}
return result;
}
static RTLIL::Const logic_wrapper(RTLIL::State(*logic_func)(RTLIL::State, RTLIL::State),
RTLIL::Const arg1, RTLIL::Const arg2, bool signed1, bool signed2, int result_len = -1)
{
if (result_len < 0)
result_len = std::max(arg1.bits.size(), arg2.bits.size());
extend(arg1, result_len, signed1);
extend(arg2, result_len, signed2);
RTLIL::Const result(RTLIL::State::Sx, result_len);
for (size_t i = 0; i < size_t(result_len); i++) {
RTLIL::State a = i < arg1.bits.size() ? arg1.bits[i] : RTLIL::State::S0;
RTLIL::State b = i < arg2.bits.size() ? arg2.bits[i] : RTLIL::State::S0;
result.bits[i] = logic_func(a, b);
}
return result;
}
RTLIL::Const RTLIL::const_and(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
return logic_wrapper(logic_and, arg1, arg2, signed1, signed2, result_len);
}
RTLIL::Const RTLIL::const_or(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
return logic_wrapper(logic_or, arg1, arg2, signed1, signed2, result_len);
}
RTLIL::Const RTLIL::const_xor(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
return logic_wrapper(logic_xor, arg1, arg2, signed1, signed2, result_len);
}
RTLIL::Const RTLIL::const_xnor(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
return logic_wrapper(logic_xnor, arg1, arg2, signed1, signed2, result_len);
}
static RTLIL::Const logic_reduce_wrapper(RTLIL::State initial, RTLIL::State(*logic_func)(RTLIL::State, RTLIL::State), const RTLIL::Const &arg1, int result_len)
{
RTLIL::State temp = initial;
for (size_t i = 0; i < arg1.bits.size(); i++)
temp = logic_func(temp, arg1.bits[i]);
RTLIL::Const result(temp);
while (int(result.bits.size()) < result_len)
result.bits.push_back(RTLIL::State::S0);
return result;
}
RTLIL::Const RTLIL::const_reduce_and(const RTLIL::Const &arg1, const RTLIL::Const&, bool, bool, int result_len)
{
return logic_reduce_wrapper(RTLIL::State::S1, logic_and, arg1, result_len);
}
RTLIL::Const RTLIL::const_reduce_or(const RTLIL::Const &arg1, const RTLIL::Const&, bool, bool, int result_len)
{
return logic_reduce_wrapper(RTLIL::State::S0, logic_or, arg1, result_len);
}
RTLIL::Const RTLIL::const_reduce_xor(const RTLIL::Const &arg1, const RTLIL::Const&, bool, bool, int result_len)
{
return logic_reduce_wrapper(RTLIL::State::S0, logic_xor, arg1, result_len);
}
RTLIL::Const RTLIL::const_reduce_xnor(const RTLIL::Const &arg1, const RTLIL::Const&, bool, bool, int result_len)
{
RTLIL::Const buffer = logic_reduce_wrapper(RTLIL::State::S0, logic_xor, arg1, result_len);
if (!buffer.bits.empty()) {
if (buffer.bits.front() == RTLIL::State::S0)
buffer.bits.front() = RTLIL::State::S1;
else if (buffer.bits.front() == RTLIL::State::S1)
buffer.bits.front() = RTLIL::State::S0;
}
return buffer;
}
RTLIL::Const RTLIL::const_reduce_bool(const RTLIL::Const &arg1, const RTLIL::Const&, bool, bool, int result_len)
{
return logic_reduce_wrapper(RTLIL::State::S0, logic_or, arg1, result_len);
}
RTLIL::Const RTLIL::const_logic_not(const RTLIL::Const &arg1, const RTLIL::Const&, bool signed1, bool, int result_len)
{
int undef_bit_pos_a = -1;
BigInteger a = const2big(arg1, signed1, undef_bit_pos_a);
RTLIL::Const result(a.isZero() ? undef_bit_pos_a >= 0 ? RTLIL::State::Sx : RTLIL::State::S1 : RTLIL::State::S0);
while (int(result.bits.size()) < result_len)
result.bits.push_back(RTLIL::State::S0);
return result;
}
RTLIL::Const RTLIL::const_logic_and(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
int undef_bit_pos_a = -1, undef_bit_pos_b = -1;
BigInteger a = const2big(arg1, signed1, undef_bit_pos_a);
BigInteger b = const2big(arg2, signed2, undef_bit_pos_b);
RTLIL::State bit_a = a.isZero() ? undef_bit_pos_a >= 0 ? RTLIL::State::Sx : RTLIL::State::S0 : RTLIL::State::S1;
RTLIL::State bit_b = b.isZero() ? undef_bit_pos_b >= 0 ? RTLIL::State::Sx : RTLIL::State::S0 : RTLIL::State::S1;
RTLIL::Const result(logic_and(bit_a, bit_b));
while (int(result.bits.size()) < result_len)
result.bits.push_back(RTLIL::State::S0);
return result;
}
RTLIL::Const RTLIL::const_logic_or(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
int undef_bit_pos_a = -1, undef_bit_pos_b = -1;
BigInteger a = const2big(arg1, signed1, undef_bit_pos_a);
BigInteger b = const2big(arg2, signed2, undef_bit_pos_b);
RTLIL::State bit_a = a.isZero() ? undef_bit_pos_a >= 0 ? RTLIL::State::Sx : RTLIL::State::S0 : RTLIL::State::S1;
RTLIL::State bit_b = b.isZero() ? undef_bit_pos_b >= 0 ? RTLIL::State::Sx : RTLIL::State::S0 : RTLIL::State::S1;
RTLIL::Const result(logic_or(bit_a, bit_b));
while (int(result.bits.size()) < result_len)
result.bits.push_back(RTLIL::State::S0);
return result;
}
static RTLIL::Const const_shift(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool sign_ext, int direction, int result_len)
{
int undef_bit_pos = -1;
BigInteger offset = const2big(arg2, false, undef_bit_pos) * direction;
if (result_len < 0)
result_len = arg1.bits.size();
RTLIL::Const result(RTLIL::State::Sx, result_len);
if (undef_bit_pos >= 0)
return result;
for (int i = 0; i < result_len; i++) {
BigInteger pos = BigInteger(i) + offset;
if (pos < 0)
result.bits[i] = RTLIL::State::S0;
else if (pos >= arg1.bits.size())
result.bits[i] = sign_ext ? arg1.bits.back() : RTLIL::State::S0;
else
result.bits[i] = arg1.bits[pos.toInt()];
}
return result;
}
RTLIL::Const RTLIL::const_shl(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool, int result_len)
{
RTLIL::Const arg1_ext = arg1;
extend(arg1_ext, result_len, signed1);
return const_shift(arg1_ext, arg2, false, -1, result_len);
}
RTLIL::Const RTLIL::const_shr(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool, int result_len)
{
RTLIL::Const arg1_ext = arg1;
extend(arg1_ext, result_len, signed1);
return const_shift(arg1_ext, arg2, false, +1, result_len);
}
RTLIL::Const RTLIL::const_sshl(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
if (!signed1)
return const_shl(arg1, arg2, signed1, signed2, result_len);
return const_shift(arg1, arg2, true, -1, result_len);
}
RTLIL::Const RTLIL::const_sshr(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
if (!signed1)
return const_shr(arg1, arg2, signed1, signed2, result_len);
return const_shift(arg1, arg2, true, +1, result_len);
}
RTLIL::Const RTLIL::const_lt(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
int undef_bit_pos = -1;
bool y = const2big(arg1, signed1, undef_bit_pos) < const2big(arg2, signed2, undef_bit_pos);
RTLIL::Const result(undef_bit_pos >= 0 ? RTLIL::State::Sx : y ? RTLIL::State::S1 : RTLIL::State::S0);
while (int(result.bits.size()) < result_len)
result.bits.push_back(RTLIL::State::S0);
return result;
}
RTLIL::Const RTLIL::const_le(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
int undef_bit_pos = -1;
bool y = const2big(arg1, signed1, undef_bit_pos) <= const2big(arg2, signed2, undef_bit_pos);
RTLIL::Const result(undef_bit_pos >= 0 ? RTLIL::State::Sx : y ? RTLIL::State::S1 : RTLIL::State::S0);
while (int(result.bits.size()) < result_len)
result.bits.push_back(RTLIL::State::S0);
return result;
}
RTLIL::Const RTLIL::const_eq(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
RTLIL::Const arg1_ext = arg1;
RTLIL::Const arg2_ext = arg2;
RTLIL::Const result(RTLIL::State::S0, result_len);
while (arg1_ext.bits.size() < arg2_ext.bits.size())
arg1_ext.bits.push_back(signed1 && signed2 && arg1_ext.bits.size() > 0 ? arg1_ext.bits.back() : RTLIL::State::S0);
while (arg2_ext.bits.size() < arg1_ext.bits.size())
arg2_ext.bits.push_back(signed1 && signed2 && arg2_ext.bits.size() > 0 ? arg2_ext.bits.back() : RTLIL::State::S0);
RTLIL::State matched_status = RTLIL::State::S1;
for (size_t i = 0; i < arg1_ext.bits.size(); i++) {
if (arg1_ext.bits.at(i) == RTLIL::State::S0 && arg2_ext.bits.at(i) == RTLIL::State::S1)
return result;
if (arg1_ext.bits.at(i) == RTLIL::State::S1 && arg2_ext.bits.at(i) == RTLIL::State::S0)
return result;
if (arg1_ext.bits.at(i) > RTLIL::State::S1 || arg2_ext.bits.at(i) > RTLIL::State::S1)
matched_status = RTLIL::State::Sx;
}
result.bits.front() = matched_status;
return result;
}
RTLIL::Const RTLIL::const_ne(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
RTLIL::Const result = RTLIL::const_eq(arg1, arg2, signed1, signed2, result_len);
if (result.bits.front() == RTLIL::State::S0)
result.bits.front() = RTLIL::State::S1;
else if (result.bits.front() == RTLIL::State::S1)
result.bits.front() = RTLIL::State::S0;
return result;
}
RTLIL::Const RTLIL::const_ge(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
int undef_bit_pos = -1;
bool y = const2big(arg1, signed1, undef_bit_pos) >= const2big(arg2, signed2, undef_bit_pos);
RTLIL::Const result(undef_bit_pos >= 0 ? RTLIL::State::Sx : y ? RTLIL::State::S1 : RTLIL::State::S0);
while (int(result.bits.size()) < result_len)
result.bits.push_back(RTLIL::State::S0);
return result;
}
RTLIL::Const RTLIL::const_gt(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
int undef_bit_pos = -1;
bool y = const2big(arg1, signed1, undef_bit_pos) > const2big(arg2, signed2, undef_bit_pos);
RTLIL::Const result(undef_bit_pos >= 0 ? RTLIL::State::Sx : y ? RTLIL::State::S1 : RTLIL::State::S0);
while (int(result.bits.size()) < result_len)
result.bits.push_back(RTLIL::State::S0);
return result;
}
RTLIL::Const RTLIL::const_add(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
int undef_bit_pos = -1;
BigInteger y = const2big(arg1, signed1, undef_bit_pos) + const2big(arg2, signed2, undef_bit_pos);
return big2const(y, result_len >= 0 ? result_len : std::max(arg1.bits.size(), arg2.bits.size()), undef_bit_pos);
}
RTLIL::Const RTLIL::const_sub(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
int undef_bit_pos = -1;
BigInteger y = const2big(arg1, signed1, undef_bit_pos) - const2big(arg2, signed2, undef_bit_pos);
return big2const(y, result_len >= 0 ? result_len : std::max(arg1.bits.size(), arg2.bits.size()), undef_bit_pos);
}
RTLIL::Const RTLIL::const_mul(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
int undef_bit_pos = -1;
BigInteger y = const2big(arg1, signed1, undef_bit_pos) * const2big(arg2, signed2, undef_bit_pos);
return big2const(y, result_len >= 0 ? result_len : std::max(arg1.bits.size(), arg2.bits.size()), std::min(undef_bit_pos, 0));
}
RTLIL::Const RTLIL::const_div(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
int undef_bit_pos = -1;
BigInteger a = const2big(arg1, signed1, undef_bit_pos);
BigInteger b = const2big(arg2, signed2, undef_bit_pos);
if (b.isZero())
return RTLIL::Const(RTLIL::State::Sx, result_len);
bool result_neg = (a.getSign() == BigInteger::negative) != (b.getSign() == BigInteger::negative);
a = a.getSign() == BigInteger::negative ? -a : a;
b = b.getSign() == BigInteger::negative ? -b : b;
return big2const(result_neg ? -(a / b) : (a / b), result_len >= 0 ? result_len : std::max(arg1.bits.size(), arg2.bits.size()), std::min(undef_bit_pos, 0));
}
RTLIL::Const RTLIL::const_mod(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
int undef_bit_pos = -1;
BigInteger a = const2big(arg1, signed1, undef_bit_pos);
BigInteger b = const2big(arg2, signed2, undef_bit_pos);
if (b.isZero())
return RTLIL::Const(RTLIL::State::Sx, result_len);
bool result_neg = a.getSign() == BigInteger::negative;
a = a.getSign() == BigInteger::negative ? -a : a;
b = b.getSign() == BigInteger::negative ? -b : b;
return big2const(result_neg ? -(a % b) : (a % b), result_len >= 0 ? result_len : std::max(arg1.bits.size(), arg2.bits.size()), std::min(undef_bit_pos, 0));
}
RTLIL::Const RTLIL::const_pow(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
int undef_bit_pos = -1;
BigInteger a = const2big(arg1, signed1, undef_bit_pos);
BigInteger b = const2big(arg2, signed2, undef_bit_pos);
BigInteger y = 1;
if (b < 0 || a == 0) {
y = 0;
} else {
while (b > 0) {
y = y * a;
if (y.getLength() > 0x10000) {
undef_bit_pos = 0;
break;
}
b--;
}
}
return big2const(y, result_len >= 0 ? result_len : std::max(arg1.bits.size(), arg2.bits.size()), std::min(undef_bit_pos, 0));
}
RTLIL::Const RTLIL::const_pos(const RTLIL::Const &arg1, const RTLIL::Const&, bool signed1, bool, int result_len)
{
RTLIL::Const arg1_ext = arg1;
extend(arg1_ext, result_len, signed1);
return arg1_ext;
}
RTLIL::Const RTLIL::const_neg(const RTLIL::Const &arg1, const RTLIL::Const&, bool signed1, bool, int result_len)
{
RTLIL::Const arg1_ext = arg1;
extend(arg1_ext, result_len, signed1);
RTLIL::Const zero(RTLIL::State::S0, 1);
return RTLIL::const_sub(zero, arg1_ext, false, signed1, result_len);
}