return binop2rtlil(this, type_name, width, left, right);
}
+ // generate cells for binary operations: $pow
+ case AST_POW:
+ {
+ int right_width;
+ bool right_signed;
+ children[1]->detectSignWidth(right_width, right_signed);
+ if (width_hint < 0)
+ detectSignWidth(width_hint, sign_hint);
+ RTLIL::SigSpec left = children[0]->genRTLIL(width_hint, sign_hint);
+ RTLIL::SigSpec right = children[1]->genRTLIL(right_width, right_signed);
+ int width = width_hint > 0 ? width_hint : left.width;
+ is_signed = children[0]->is_signed;
+ if (!flag_noopt && left.is_fully_const() && left.as_int() == 2 && !right_signed)
+ return binop2rtlil(this, "$shl", width, RTLIL::SigSpec(1, left.width), right);
+ return binop2rtlil(this, "$pow", width, left, right);
+ }
+
// generate cells for binary operations: $lt, $le, $eq, $ne, $ge, $gt
if (0) { case AST_LT: type_name = "$lt"; }
if (0) { case AST_LE: type_name = "$le"; }
return sig;
}
- // generate cells for binary operations: $add, $sub, $mul, $div, $mod, $pow
+ // generate cells for binary operations: $add, $sub, $mul, $div, $mod
if (0) { case AST_ADD: type_name = "$add"; }
if (0) { case AST_SUB: type_name = "$sub"; }
if (0) { case AST_MUL: type_name = "$mul"; }
if (0) { case AST_DIV: type_name = "$div"; }
if (0) { case AST_MOD: type_name = "$mod"; }
- if (0) { case AST_POW: type_name = "$pow"; }
{
if (width_hint < 0)
detectSignWidth(width_hint, sign_hint);
RTLIL::SigSpec left = children[0]->genRTLIL(width_hint, sign_hint);
- RTLIL::SigSpec right = type == AST_POW ? children[1]->genRTLIL() : children[1]->genRTLIL(width_hint, sign_hint);
- int width = type == AST_POW ? left.width : std::max(left.width, right.width);
+ RTLIL::SigSpec right = children[1]->genRTLIL(width_hint, sign_hint);
+ int width = std::max(left.width, right.width);
if (width > width_hint && width_hint > 0)
width = width_hint;
if (width < width_hint) {
width = width_hint;
if (type == AST_MUL)
width = std::min(left.width + right.width, width_hint);
- if (type == AST_POW)
- width = width_hint;
}
is_signed = children[0]->is_signed && children[1]->is_signed;
- if (!flag_noopt && type == AST_POW && left.is_fully_const() && left.as_int() == 2)
- return binop2rtlil(this, "$shl", width, RTLIL::SigSpec(1, left.width), right);
return binop2rtlil(this, type_name, width, left, right);
}
if (0) { case AST_SHIFT_RIGHT: const_func = RTLIL::const_shr; }
if (0) { case AST_SHIFT_SLEFT: const_func = RTLIL::const_sshl; }
if (0) { case AST_SHIFT_SRIGHT: const_func = RTLIL::const_sshr; }
+ if (0) { case AST_POW: const_func = RTLIL::const_pow; }
if (children[0]->type == AST_CONSTANT && children[1]->type == AST_CONSTANT) {
RTLIL::Const y = const_func(children[0]->bitsAsConst(width_hint, sign_hint),
- RTLIL::Const(children[1]->bits), sign_hint, false, width_hint);
+ RTLIL::Const(children[1]->bits), sign_hint, type == AST_POW ? sign_hint : false, width_hint);
newNode = mkconst_bits(y.bits, sign_hint);
}
break;
if (0) { case AST_MUL: const_func = RTLIL::const_mul; }
if (0) { case AST_DIV: const_func = RTLIL::const_div; }
if (0) { case AST_MOD: const_func = RTLIL::const_mod; }
- if (0) { case AST_POW: const_func = RTLIL::const_pow; }
if (children[0]->type == AST_CONSTANT && children[1]->type == AST_CONSTANT) {
RTLIL::Const y = const_func(children[0]->bitsAsConst(width_hint, sign_hint),
children[1]->bitsAsConst(width_hint, sign_hint), sign_hint, sign_hint, width_hint);
*
*/
+// [[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/log.h"
#include "kernel/rtlil.h"
#include "libs/bigint/BigIntegerLibrary.hh"
{
int undef_bit_pos = -1;
+ log("--POW--\n");
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 {
+ 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;
+ }
+
while (b > 0) {
- y = y * a;
- if (y.getLength() > 0x10000) {
- undef_bit_pos = 0;
- break;
- }
- b--;
+ if (b % 2 == 1)
+ y = (y * a) % modulus;
+ b = b / 2;
+ a = (a * a) % modulus;
}
+
+ if (flip_result_sign)
+ y *= -1;
}
return big2const(y, result_len >= 0 ? result_len : std::max(arg1.bits.size(), arg2.bits.size()), std::min(undef_bit_pos, 0));