yosys/kernel/calc.cc

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/*
* yosys -- Yosys Open SYnthesis Suite
*
* Copyright (C) 2012 Claire Xenia Wolf <claire@yosyshq.com>
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*
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* 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.
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*
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* 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.
*
*/
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// [[CITE]] Power-Modulus Algorithm
// Schneier, Bruce (1996). Applied Cryptography: Protocols, Algorithms, and Source Code in C,
// Second Edition (2nd ed.). Wiley. ISBN 978-0-471-11709-4, page 244
#include "kernel/yosys.h"
#include "libs/bigint/BigIntegerLibrary.hh"
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YOSYS_NAMESPACE_BEGIN
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static void extend_u0(RTLIL::Const &arg, int width, bool is_signed)
{
RTLIL::State padding = RTLIL::State::S0;
if (arg.bits.size() > 0 && is_signed)
padding = arg.bits.back();
while (int(arg.bits.size()) < width)
arg.bits.push_back(padding);
arg.bits.resize(width);
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}
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static BigInteger const2big(const RTLIL::Const &val, bool as_signed, int &undef_bit_pos)
{
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BigUnsigned mag;
BigInteger::Sign sign = BigInteger::positive;
State inv_sign_bit = RTLIL::State::S1;
size_t num_bits = val.bits.size();
if (as_signed && num_bits && val.bits[num_bits-1] == RTLIL::State::S1) {
inv_sign_bit = RTLIL::State::S0;
sign = BigInteger::negative;
num_bits--;
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}
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for (size_t i = 0; i < num_bits; i++)
if (val.bits[i] == RTLIL::State::S0 || val.bits[i] == RTLIL::State::S1)
mag.setBit(i, val.bits[i] == inv_sign_bit);
else if (undef_bit_pos < 0)
undef_bit_pos = i;
if (sign == BigInteger::negative)
mag += 1;
return BigInteger(mag, sign);
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}
static RTLIL::Const big2const(const BigInteger &val, int result_len, int undef_bit_pos)
{
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if (undef_bit_pos >= 0)
return RTLIL::Const(RTLIL::State::Sx, result_len);
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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;
}
}
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#if 0
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if (undef_bit_pos >= 0)
for (int i = undef_bit_pos; i < result_len; i++)
result.bits[i] = RTLIL::State::Sx;
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#endif
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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)
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{
if (result_len < 0)
result_len = arg1.bits.size();
RTLIL::Const arg1_ext = arg1;
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extend_u0(arg1_ext, result_len, signed1);
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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())
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result.bits[i] = RTLIL::State::S0;
else if (arg1_ext.bits[i] == RTLIL::State::S0)
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result.bits[i] = RTLIL::State::S1;
else if (arg1_ext.bits[i] == RTLIL::State::S1)
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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)
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{
if (result_len < 0)
result_len = max(arg1.bits.size(), arg2.bits.size());
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extend_u0(arg1, result_len, signed1);
extend_u0(arg2, result_len, signed2);
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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)
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{
return logic_wrapper(logic_and, arg1, arg2, signed1, signed2, result_len);
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}
RTLIL::Const RTLIL::const_or(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
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{
return logic_wrapper(logic_or, arg1, arg2, signed1, signed2, result_len);
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}
RTLIL::Const RTLIL::const_xor(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
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{
return logic_wrapper(logic_xor, arg1, arg2, signed1, signed2, result_len);
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}
RTLIL::Const RTLIL::const_xnor(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
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{
return logic_wrapper(logic_xnor, arg1, arg2, signed1, signed2, result_len);
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}
static RTLIL::Const logic_reduce_wrapper(RTLIL::State initial, RTLIL::State(*logic_func)(RTLIL::State, RTLIL::State), const RTLIL::Const &arg1, int result_len)
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{
RTLIL::State temp = initial;
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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;
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}
RTLIL::Const RTLIL::const_reduce_and(const RTLIL::Const &arg1, const RTLIL::Const&, bool, bool, int result_len)
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{
return logic_reduce_wrapper(RTLIL::State::S1, logic_and, arg1, result_len);
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}
RTLIL::Const RTLIL::const_reduce_or(const RTLIL::Const &arg1, const RTLIL::Const&, bool, bool, int result_len)
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{
return logic_reduce_wrapper(RTLIL::State::S0, logic_or, arg1, result_len);
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}
RTLIL::Const RTLIL::const_reduce_xor(const RTLIL::Const &arg1, const RTLIL::Const&, bool, bool, int result_len)
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{
return logic_reduce_wrapper(RTLIL::State::S0, logic_xor, arg1, result_len);
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}
RTLIL::Const RTLIL::const_reduce_xnor(const RTLIL::Const &arg1, const RTLIL::Const&, bool, bool, int result_len)
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{
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;
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}
RTLIL::Const RTLIL::const_reduce_bool(const RTLIL::Const &arg1, const RTLIL::Const&, bool, bool, int result_len)
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{
return logic_reduce_wrapper(RTLIL::State::S0, logic_or, arg1, result_len);
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}
RTLIL::Const RTLIL::const_logic_not(const RTLIL::Const &arg1, const RTLIL::Const&, bool signed1, bool, int result_len)
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{
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);
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while (int(result.bits.size()) < result_len)
result.bits.push_back(RTLIL::State::S0);
return result;
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}
RTLIL::Const RTLIL::const_logic_and(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
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{
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));
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while (int(result.bits.size()) < result_len)
result.bits.push_back(RTLIL::State::S0);
return result;
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}
RTLIL::Const RTLIL::const_logic_or(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
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{
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));
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while (int(result.bits.size()) < result_len)
result.bits.push_back(RTLIL::State::S0);
return result;
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}
// Shift `arg1` by `arg2` bits.
// If `direction` is +1, `arg1` is shifted right by `arg2` bits; if `direction` is -1, `arg1` is shifted left by `arg2` bits.
// If `signed2` is true, `arg2` is interpreted as a signed integer; a negative `arg2` will cause a shift in the opposite direction.
// Any required bits outside the bounds of `arg1` are padded with `vacant_bits` unless `sign_ext` is true, in which case any bits outside the left
// bounds are filled with the leftmost bit of `arg1` (arithmetic shift).
static RTLIL::Const const_shift_worker(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool sign_ext, bool signed2, int direction, int result_len, RTLIL::State vacant_bits = RTLIL::State::S0)
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{
int undef_bit_pos = -1;
BigInteger offset = const2big(arg2, signed2, undef_bit_pos) * direction;
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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] = vacant_bits;
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else if (pos >= BigInteger(int(arg1.bits.size())))
result.bits[i] = sign_ext ? arg1.bits.back() : vacant_bits;
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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)
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{
RTLIL::Const arg1_ext = arg1;
extend_u0(arg1_ext, result_len, signed1);
return const_shift_worker(arg1_ext, arg2, false, false, -1, result_len);
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}
RTLIL::Const RTLIL::const_shr(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool, int result_len)
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{
RTLIL::Const arg1_ext = arg1;
extend_u0(arg1_ext, max(result_len, GetSize(arg1)), signed1);
return const_shift_worker(arg1_ext, arg2, false, false, +1, result_len);
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}
RTLIL::Const RTLIL::const_sshl(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool, int result_len)
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{
return const_shift_worker(arg1, arg2, signed1, false, -1, result_len);
}
RTLIL::Const RTLIL::const_sshr(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool, int result_len)
{
return const_shift_worker(arg1, arg2, signed1, false, +1, result_len);
}
RTLIL::Const RTLIL::const_shift(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
RTLIL::Const arg1_ext = arg1;
extend_u0(arg1_ext, max(result_len, GetSize(arg1)), signed1);
return const_shift_worker(arg1_ext, arg2, false, signed2, +1, result_len);
}
RTLIL::Const RTLIL::const_shiftx(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool, bool signed2, int result_len)
{
return const_shift_worker(arg1, arg2, false, signed2, +1, result_len, RTLIL::State::Sx);
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}
RTLIL::Const RTLIL::const_lt(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
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{
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;
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}
RTLIL::Const RTLIL::const_le(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
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{
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;
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}
RTLIL::Const RTLIL::const_eq(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
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{
RTLIL::Const arg1_ext = arg1;
RTLIL::Const arg2_ext = arg2;
RTLIL::Const result(RTLIL::State::S0, result_len);
int width = max(arg1_ext.bits.size(), arg2_ext.bits.size());
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extend_u0(arg1_ext, width, signed1 && signed2);
extend_u0(arg2_ext, width, signed1 && signed2);
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;
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}
RTLIL::Const RTLIL::const_ne(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
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{
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_eqx(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);
int width = max(arg1_ext.bits.size(), arg2_ext.bits.size());
extend_u0(arg1_ext, width, signed1 && signed2);
extend_u0(arg2_ext, width, signed1 && signed2);
for (size_t i = 0; i < arg1_ext.bits.size(); i++) {
if (arg1_ext.bits.at(i) != arg2_ext.bits.at(i))
return result;
}
result.bits.front() = RTLIL::State::S1;
return result;
}
RTLIL::Const RTLIL::const_nex(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
{
RTLIL::Const result = RTLIL::const_eqx(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;
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}
RTLIL::Const RTLIL::const_ge(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
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{
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;
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}
RTLIL::Const RTLIL::const_gt(const RTLIL::Const &arg1, const RTLIL::Const &arg2, bool signed1, bool signed2, int result_len)
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{
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;
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}
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 : max(arg1.bits.size(), arg2.bits.size()), undef_bit_pos);
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}
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 : max(arg1.bits.size(), arg2.bits.size()), undef_bit_pos);
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}
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 : max(arg1.bits.size(), arg2.bits.size()), min(undef_bit_pos, 0));
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}
// truncating division
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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 : max(arg1.bits.size(), arg2.bits.size()), min(undef_bit_pos, 0));
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}
// truncating modulo
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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 : max(arg1.bits.size(), arg2.bits.size()), min(undef_bit_pos, 0));
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}
RTLIL::Const RTLIL::const_divfloor(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_pos = (a.getSign() == BigInteger::negative) == (b.getSign() == BigInteger::negative);
a = a.getSign() == BigInteger::negative ? -a : a;
b = b.getSign() == BigInteger::negative ? -b : b;
BigInteger result;
if (result_pos || a == 0) {
result = a / b;
} else {
// bigint division with negative numbers is wonky, make sure we only negate at the very end
result = -((a + b - 1) / b);
}
return big2const(result, result_len >= 0 ? result_len : max(arg1.bits.size(), arg2.bits.size()), min(undef_bit_pos, 0));
}
RTLIL::Const RTLIL::const_modfloor(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);
BigInteger::Sign a_sign = a.getSign();
BigInteger::Sign b_sign = b.getSign();
a = a_sign == BigInteger::negative ? -a : a;
b = b_sign == BigInteger::negative ? -b : b;
BigInteger truncated = a_sign == BigInteger::negative ? -(a % b) : (a % b);
BigInteger modulo;
if (truncated == 0 || (a_sign == b_sign)) {
modulo = truncated;
} else {
modulo = b_sign == BigInteger::negative ? truncated - b : truncated + b;
}
return big2const(modulo, result_len >= 0 ? result_len : max(arg1.bits.size(), arg2.bits.size()), min(undef_bit_pos, 0));
}
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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;
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if (a == 0 && b < 0)
return RTLIL::Const(RTLIL::State::Sx, result_len);
if (a == 0 && b > 0)
return RTLIL::Const(RTLIL::State::S0, result_len);
if (b < 0)
{
if (a < -1 || a > 1)
y = 0;
if (a == -1)
y = (-b % 2) == 0 ? 1 : -1;
}
if (b > 0)
{
// Power-modulo with 2^result_len as modulus
BigInteger modulus = 1;
int modulus_bits = (result_len >= 0 ? result_len : 1024);
for (int i = 0; i < modulus_bits; i++)
modulus *= 2;
bool flip_result_sign = false;
if (a < 0) {
a *= -1;
if (b % 2 == 1)
flip_result_sign = true;
}
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while (b > 0) {
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if (b % 2 == 1)
y = (y * a) % modulus;
b = b / 2;
a = (a * a) % modulus;
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}
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if (flip_result_sign)
y *= -1;
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}
return big2const(y, result_len >= 0 ? result_len : max(arg1.bits.size(), arg2.bits.size()), min(undef_bit_pos, 0));
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}
RTLIL::Const RTLIL::const_pos(const RTLIL::Const &arg1, const RTLIL::Const&, bool signed1, bool, int result_len)
{
RTLIL::Const arg1_ext = arg1;
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extend_u0(arg1_ext, result_len, signed1);
return arg1_ext;
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}
RTLIL::Const RTLIL::const_buf(const RTLIL::Const &arg1, const RTLIL::Const&, bool signed1, bool, int result_len)
{
RTLIL::Const arg1_ext = arg1;
extend_u0(arg1_ext, result_len, signed1);
return arg1_ext;
}
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RTLIL::Const RTLIL::const_neg(const RTLIL::Const &arg1, const RTLIL::Const&, bool signed1, bool, int result_len)
{
RTLIL::Const arg1_ext = arg1;
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RTLIL::Const zero(RTLIL::State::S0, 1);
return RTLIL::const_sub(zero, arg1_ext, true, signed1, result_len);
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}
RTLIL::Const RTLIL::const_mux(const RTLIL::Const &arg1, const RTLIL::Const &arg2, const RTLIL::Const &arg3)
{
log_assert(arg2.size() == arg1.size());
if (arg3[0] == State::S0)
return arg1;
else if (arg3[0] == State::S1)
return arg2;
RTLIL::Const ret = arg1;
for (int i = 0; i < ret.size(); i++)
if (ret[i] != arg2[i])
ret[i] = State::Sx;
return ret;
}
RTLIL::Const RTLIL::const_pmux(const RTLIL::Const &arg1, const RTLIL::Const &arg2, const RTLIL::Const &arg3)
{
if (arg3.is_fully_zero())
return arg1;
if (!arg3.is_onehot())
return RTLIL::Const(State::Sx, arg1.size());
for (int i = 0; i < arg3.size(); i++)
if (arg3[i] == State::S1)
return RTLIL::Const(std::vector<RTLIL::State>(arg2.bits.begin() + i*arg1.bits.size(), arg2.bits.begin() + (i+1)*arg1.bits.size()));
log_abort(); // unreachable
}
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RTLIL::Const RTLIL::const_bmux(const RTLIL::Const &arg1, const RTLIL::Const &arg2)
{
std::vector<RTLIL::State> t = arg1.bits;
for (int i = GetSize(arg2)-1; i >= 0; i--)
{
RTLIL::State sel = arg2.bits.at(i);
std::vector<RTLIL::State> new_t;
if (sel == State::S0)
new_t = std::vector<RTLIL::State>(t.begin(), t.begin() + GetSize(t)/2);
else if (sel == State::S1)
new_t = std::vector<RTLIL::State>(t.begin() + GetSize(t)/2, t.end());
else
for (int j = 0; j < GetSize(t)/2; j++)
new_t.push_back(t[j] == t[j + GetSize(t)/2] ? t[j] : RTLIL::Sx);
t.swap(new_t);
}
return t;
}
RTLIL::Const RTLIL::const_demux(const RTLIL::Const &arg1, const RTLIL::Const &arg2)
{
int width = GetSize(arg1);
int s_width = GetSize(arg2);
std::vector<RTLIL::State> res;
for (int i = 0; i < (1 << s_width); i++)
{
bool ne = false;
bool x = false;
for (int j = 0; j < s_width; j++) {
bool bit = i & 1 << j;
if (arg2[j] == (bit ? RTLIL::S0 : RTLIL::S1))
ne = true;
else if (arg2[j] != RTLIL::S0 && arg2[j] != RTLIL::S1)
x = true;
}
if (ne) {
for (int j = 0; j < width; j++)
res.push_back(State::S0);
} else if (x) {
for (int j = 0; j < width; j++)
res.push_back(arg1.bits[j] == State::S0 ? State::S0 : State::Sx);
} else {
for (int j = 0; j < width; j++)
res.push_back(arg1.bits[j]);
}
}
return res;
}
RTLIL::Const RTLIL::const_bweqx(const RTLIL::Const &arg1, const RTLIL::Const &arg2)
{
log_assert(arg2.size() == arg1.size());
RTLIL::Const result(RTLIL::State::S0, arg1.size());
for (int i = 0; i < arg1.size(); i++)
result[i] = arg1[i] == arg2[i] ? State::S1 : State::S0;
return result;
}
RTLIL::Const RTLIL::const_bwmux(const RTLIL::Const &arg1, const RTLIL::Const &arg2, const RTLIL::Const &arg3)
{
log_assert(arg2.size() == arg1.size());
log_assert(arg3.size() == arg1.size());
RTLIL::Const result(RTLIL::State::Sx, arg1.size());
for (int i = 0; i < arg1.size(); i++) {
if (arg3[i] != State::Sx || arg1[i] == arg2[i])
result[i] = arg3[i] == State::S1 ? arg2[i] : arg1[i];
}
return result;
}
YOSYS_NAMESPACE_END