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Diffstat (limited to 'src/systemc/dt/int/sc_signed.cc')
| -rw-r--r-- | src/systemc/dt/int/sc_signed.cc | 3982 |
1 files changed, 3982 insertions, 0 deletions
diff --git a/src/systemc/dt/int/sc_signed.cc b/src/systemc/dt/int/sc_signed.cc new file mode 100644 index 000000000..63a2d0330 --- /dev/null +++ b/src/systemc/dt/int/sc_signed.cc @@ -0,0 +1,3982 @@ +/***************************************************************************** + + Licensed to Accellera Systems Initiative Inc. (Accellera) under one or + more contributor license agreements. See the NOTICE file distributed + with this work for additional information regarding copyright ownership. + Accellera licenses this file to you under the Apache License, Version 2.0 + (the "License"); you may not use this file except in compliance with the + License. You may obtain a copy of the License at + + http://www.apache.org/licenses/LICENSE-2.0 + + Unless required by applicable law or agreed to in writing, software + distributed under the License is distributed on an "AS IS" BASIS, + WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or + implied. See the License for the specific language governing + permissions and limitations under the License. + + *****************************************************************************/ + +/***************************************************************************** + + sc_signed.cpp -- Arbitrary precision signed arithmetic. + + This file includes the definitions of sc_signed_bitref, + sc_signed_subref, and sc_signed classes. The first two + classes are proxy classes to reference one bit and a range + of bits of a sc_signed number, respectively. This file also + includes sc_nbcommon.cpp and sc_nbfriends.cpp, which + contain the definitions shared by sc_unsigned. + + Original Author: Ali Dasdan, Synopsys, Inc. + + *****************************************************************************/ + +/***************************************************************************** + + MODIFICATION LOG - modifiers, enter your name, affiliation, date and + changes you are making here. + + Name, Affiliation, Date: + Description of Modification: + + *****************************************************************************/ + + +// $Log: sc_signed.cpp,v $ +// Revision 1.6 2011/02/18 20:19:15 acg +// Andy Goodrich: updating Copyright notice. +// +// Revision 1.5 2008/12/10 20:38:45 acg +// Andy Goodrich: fixed conversion of double values to the digits vector. +// The bits above the radix were not being masked off. +// +// Revision 1.4 2008/06/19 17:47:56 acg +// Andy Goodrich: fixes for bugs. See 2.2.1 RELEASENOTES. +// +// Revision 1.3 2008/04/29 21:20:41 acg +// Andy Goodrich: added mask to first word transferred when processing +// a negative sc_signed value in sc_signed::concat_get_data(). +// +// Revision 1.2 2007/11/04 21:27:00 acg +// Andy Goodrich: changes to make sure the proper value is returned from +// concat_get_data(). +// +// Revision 1.1.1.1 2006/12/15 20:20:05 acg +// SystemC 2.3 +// +// Revision 1.5 2006/10/23 19:32:47 acg +// Andy Goodrich: further fix for incorrect value being returned from +// concat_get_data. This one is in the non-aligned value code. +// +// Revision 1.3 2006/01/13 18:49:32 acg +// Added $Log command so that CVS check in comments are reproduced in the +// source. +// + +#include <cctype> +#include <cmath> +#include <sstream> + +#include "systemc/ext/dt/bit/sc_bv_base.hh" +#include "systemc/ext/dt/bit/sc_lv_base.hh" +#include "systemc/ext/dt/fx/sc_fix.hh" +#include "systemc/ext/dt/fx/scfx_other_defs.hh" +#include "systemc/ext/dt/int/sc_int_base.hh" +#include "systemc/ext/dt/int/sc_signed.hh" +#include "systemc/ext/dt/int/sc_uint_base.hh" +#include "systemc/ext/dt/int/sc_unsigned.hh" +#include "systemc/ext/dt/misc/sc_concatref.hh" + +// explicit template instantiations +namespace sc_core +{ + +template class sc_vpool<sc_dt::sc_signed_bitref>; +template class sc_vpool<sc_dt::sc_signed_subref>; + +} // namespace sc_core + +namespace sc_dt +{ + +// Pool of temporary instances: + +sc_core::sc_vpool<sc_signed_bitref> sc_signed_bitref::m_pool(9); +sc_core::sc_vpool<sc_signed_subref> sc_signed_subref::m_pool(9); + +void +sc_signed::invalid_init(const char *type_name, int nb) const +{ + std::stringstream msg; + msg << "sc_signed("<< type_name << ") : nb = " << nb << " is not valid"; + SC_REPORT_ERROR("initialization failed", msg.str().c_str()); +} + +// ---------------------------------------------------------------------------- +// SECTION: Public members - Invalid selections. +// ---------------------------------------------------------------------------- + +void +sc_signed::invalid_index(int i) const +{ + std::stringstream msg; + msg << "sc_bigint bit selection: index = " << i << " violates " + "0 <= index <= " << (nbits - 1); + SC_REPORT_ERROR("out of bounds", msg.str().c_str()); + sc_core::sc_abort(); // can't recover from here +} + +void +sc_signed::invalid_range(int l, int r) const +{ + std::stringstream msg; + msg << "sc_bigint part selection: left = " << + l << ", right = " << r << "\n" + " violates either (" << (nbits-1) << " >= left >= 0) or " + "(" << (nbits-1) << " >= right >= 0)"; + SC_REPORT_ERROR("out of bounds", msg.str().c_str()); + sc_core::sc_abort(); // can't recover from here +} + + +// ---------------------------------------------------------------------------- + +// ---------------------------------------------------------------------------- +// SECTION: Public members. +// ---------------------------------------------------------------------------- + +// Most public members are included from sc_nbcommon.inc. However, some +// concatenation support appears here to optimize between the signed and +// unsigned cases. + +// Insert this object's value at the specified place in a vector of biguint +// style values. + +bool +sc_signed::concat_get_ctrl(sc_digit *dst_p, int low_i) const +{ + int dst_i; // Index to next word to set in dst_p. + int end_i; // Index of high order word to set. + int left_shift; // Amount to shift value left. + sc_digit mask; // Mask for partial word sets. + + // CALCULATE METRICS FOR DATA MOVEMENT: + dst_i = low_i / BITS_PER_DIGIT; + end_i = (low_i + nbits - 1) / BITS_PER_DIGIT; + left_shift = low_i % BITS_PER_DIGIT; + + // ALL DATA TO BE MOVED IS IN A SINGLE WORD: + mask = ~(~0U << left_shift); + dst_p[dst_i] = (dst_p[dst_i] & ~mask); + dst_i++; + + for (; dst_i <= end_i; dst_i++) + dst_p[dst_i] = 0; + + return false; +} + +bool +sc_signed::concat_get_data(sc_digit *dst_p, int low_i) const +{ + sc_digit carry; // Carry bit for complements. + int dst_i; // Index to next word to set in dst_p. + int end_i; // Index of high order word to set. + int high_i; // Index w/in word of high order bit. + int left_shift; // Amount to shift value left. + sc_digit left_word; // High word component for set. + sc_digit mask; // Mask for partial word sets. + bool result; // True if inserted non-zero data. + int right_shift; // Amount to shift value right. + sc_digit right_word; // Low word component for set. + int src_i; // Index to next word to get from digit. + + // CALCULATE METRICS FOR DATA MOVEMENT: + dst_i = low_i / BITS_PER_DIGIT; + high_i = low_i + nbits - 1; + end_i = high_i / BITS_PER_DIGIT; + left_shift = low_i % BITS_PER_DIGIT; + + switch (sgn) { + // POSITIVE SOURCE VALUE: + case SC_POS: + result = true; + + // ALL DATA TO BE MOVED IS IN A SINGLE WORD: + if (dst_i == end_i) { + mask = ~(~0U << left_shift); + dst_p[dst_i] = ((dst_p[dst_i] & mask) | + (digit[0] << left_shift)) & DIGIT_MASK; + + // DATA IS IN MORE THAN ONE WORD, BUT IS WORD ALIGNED: + } else if (left_shift == 0) { + for (src_i = 0; dst_i < end_i; dst_i++, src_i++) { + dst_p[dst_i] = digit[src_i]; + } + high_i = high_i % BITS_PER_DIGIT; + mask = ~(~1U << high_i) & DIGIT_MASK; + dst_p[dst_i] = digit[src_i] & mask; + + // DATA IS IN MORE THAN ONE WORD, AND NOT WORD ALIGNED: + } else { + high_i = high_i % BITS_PER_DIGIT; + right_shift = BITS_PER_DIGIT - left_shift; + mask = ~(~0U << left_shift); + right_word = digit[0]; + dst_p[dst_i] = (dst_p[dst_i] & mask) | + ((right_word << left_shift) & DIGIT_MASK); + for (src_i = 1, dst_i++; dst_i < end_i; dst_i++, src_i++) { + left_word = digit[src_i]; + dst_p[dst_i] = ((left_word << left_shift)&DIGIT_MASK) | + (right_word >> right_shift); + right_word = left_word; + } + left_word = (src_i < ndigits) ? digit[src_i] : 0; + mask = ~(~1U << high_i) & DIGIT_MASK; + dst_p[dst_i] = ((left_word << left_shift) | + (right_word >> right_shift)) & mask; + } + break; + + // SOURCE VALUE IS NEGATIVE: + case SC_NEG: + // ALL DATA TO BE MOVED IS IN A SINGLE WORD: + result = true; + if (dst_i == end_i) { + mask = ~(~0U << nbits); + right_word = ((digit[0] ^ DIGIT_MASK) + 1) & mask; + mask = ~(~0U << left_shift); + dst_p[dst_i] = ((dst_p[dst_i] & mask) | + (right_word << left_shift)) & DIGIT_MASK; + + // DATA IS IN MORE THAN ONE WORD, BUT IS WORD ALIGNED: + } else if (left_shift == 0) { + carry = 1; + for (src_i = 0; dst_i < end_i; dst_i++, src_i++) { + right_word = (digit[src_i] ^ DIGIT_MASK) + carry; + dst_p[dst_i] = right_word & DIGIT_MASK; + carry = right_word >> BITS_PER_DIGIT; + } + high_i = high_i % BITS_PER_DIGIT; + mask = (~(~1U << high_i)) & DIGIT_MASK; + right_word = (src_i < ndigits) ? + (digit[src_i] ^ DIGIT_MASK) + carry : DIGIT_MASK + carry; + dst_p[dst_i] = right_word & mask; + + // DATA IS IN MORE THAN ONE WORD, AND NOT WORD ALIGNED: + } else { + high_i = high_i % BITS_PER_DIGIT; + right_shift = BITS_PER_DIGIT - left_shift; + mask = ~(~0U << left_shift); + carry = 1; + right_word = (digit[0] ^ DIGIT_MASK) + carry; + dst_p[dst_i] = (dst_p[dst_i] & mask) | + ((right_word << left_shift) & DIGIT_MASK); + carry = right_word >> BITS_PER_DIGIT; + right_word &= DIGIT_MASK; + for (src_i = 1, dst_i++; dst_i < end_i; dst_i++, src_i++) { + left_word = (digit[src_i] ^ DIGIT_MASK) + carry; + dst_p[dst_i] = ((left_word << left_shift)&DIGIT_MASK) | + (right_word >> right_shift); + carry = left_word >> BITS_PER_DIGIT; + right_word = left_word & DIGIT_MASK; + } + left_word = (src_i < ndigits) ? + (digit[src_i] ^ DIGIT_MASK) + carry : carry; + mask = ~(~1U << high_i) & DIGIT_MASK; + dst_p[dst_i] = ((left_word << left_shift) | + (right_word >> right_shift)) & mask; + } + break; + + // VALUE IS ZERO: + default: + result = false; + // ALL DATA TO BE MOVED IS IN A SINGLE WORD: + if (dst_i == end_i) { + mask = ~(~0U << nbits) << left_shift; + dst_p[dst_i] = dst_p[dst_i] & ~mask; + + // DATA IS IN MORE THAN ONE WORD, BUT IS WORD ALIGNED: + } else if (left_shift == 0) { + for (src_i = 0; dst_i < end_i; dst_i++, src_i++) { + dst_p[dst_i] = 0; + } + dst_p[dst_i] = 0; + + // DATA IS IN MORE THAN ONE WORD, AND NOT WORD ALIGNED: + } else { + mask = ~(~0U << left_shift); + dst_p[dst_i] = (dst_p[dst_i] & mask); + for (dst_i++; dst_i <= end_i; dst_i++) { + dst_p[dst_i] = 0; + } + } + break; + } + return result; +} + +// Return this object instance's bits as a uint64 without sign extension. + +uint64 +sc_signed::concat_get_uint64() const +{ + uint64 result; + switch (sgn) { + case SC_POS: + result = 0; + if (ndigits > 2) + result = digit[2]; + if (ndigits > 1) + result = (result << BITS_PER_DIGIT) | digit[1]; + result = (result << BITS_PER_DIGIT) | digit[0]; + break; + case SC_NEG: + result = 0; + if (ndigits > 2) + result = digit[2]; + if (ndigits > 1) + result = (result << BITS_PER_DIGIT) | digit[1]; + result = (result << BITS_PER_DIGIT) | digit[0]; + result = -result; + if (nbits < 64) { + uint64 mask = ~0; + result = result & ~(mask << nbits); + } + break; + default: + result = 0; + break; + } + return result; +} + +// #### OPTIMIZE +void +sc_signed::concat_set(int64 src, int low_i) +{ + *this = (low_i < 64) ? src >> low_i : src >> 63; +} + +void +sc_signed::concat_set(const sc_signed &src, int low_i) +{ + if (low_i < src.length()) + *this = src >> low_i; + else + *this = (src<0) ? (int_type)-1 : 0; +} + +void +sc_signed::concat_set(const sc_unsigned &src, int low_i) +{ + if (low_i < src.length()) + *this = src >> low_i; + else + *this = 0; +} + +void +sc_signed::concat_set(uint64 src, int low_i) +{ + *this = (low_i < 64) ? src >> low_i : 0; +} + +// ---------------------------------------------------------------------------- +// SECTION: Public members - Reduction methods. +// ---------------------------------------------------------------------------- + +bool +sc_signed::and_reduce() const +{ + sc_digit current; // Current digit examining. + int i; // Index of digit examining. + + if (sgn == SC_NEG) { + current = (1 << BITS_PER_DIGIT); + for (i = 0; i < ndigits-1; i++) { + current = (current >> BITS_PER_DIGIT) + (digit[i]^DIGIT_MASK); + if ((current & DIGIT_MASK) != DIGIT_MASK) return false; + } + current = (current >> BITS_PER_DIGIT) + (digit[i]^DIGIT_MASK); + if ((current & ~(~0U << (nbits % BITS_PER_DIGIT))) == + static_cast<sc_digit>(~(~0U << (nbits % BITS_PER_DIGIT)))) { + return true; + } + } + return false; +} + +bool +sc_signed::or_reduce() const +{ + return sgn == SC_ZERO ? false : true; +} + +bool +sc_signed::xor_reduce() const +{ + int i; // Digit examining. + int odd; // Flag for odd number of digits. + + odd = 0; + for (i = 0; i < nbits; i++) + if (test(i)) + odd = ~odd; + return odd ? true : false; +} + + + +// ---------------------------------------------------------------------------- +// SECTION: Public members - Assignment operators. +// ---------------------------------------------------------------------------- + +// assignment operators + +const sc_signed & +sc_signed::operator = (const char *a) +{ + if (a == 0) { + SC_REPORT_ERROR("conversion failed", + "character string is zero"); + } else if (*a == 0) { + SC_REPORT_ERROR("conversion failed", + "character string is empty"); + } else try { + int len = length(); + sc_fix aa(a, len, len, SC_TRN, SC_WRAP, 0, SC_ON); + return this->operator = (aa); + } catch(const sc_core::sc_report &) { + std::stringstream msg; + msg << "character string '" << a << "' is not valid"; + SC_REPORT_ERROR("conversion failed", msg.str().c_str()); + } + return *this; +} + +const sc_signed & +sc_signed::operator=(int64 v) +{ + sgn = get_sign(v); + // v >= 0 now. + if (sgn == SC_ZERO) { + vec_zero(ndigits, digit); + } else { + from_uint(ndigits, digit, (uint64)v); + if (nbits <= (int)BITS_PER_INT64) + convert_SM_to_2C_to_SM(); + } + return *this; +} + +const sc_signed & +sc_signed::operator=(uint64 v) +{ + sgn = get_sign(v); + if (sgn == SC_ZERO) { + vec_zero(ndigits, digit); + } else { + from_uint(ndigits, digit, v); + if (nbits <= (int)BITS_PER_INT64) + convert_SM_to_2C_to_SM(); + } + return *this; +} + +const sc_signed & +sc_signed::operator=(long v) +{ + sgn = get_sign(v); + // v >= 0 now. + if (sgn == SC_ZERO) { + vec_zero(ndigits, digit); + } else { + from_uint(ndigits, digit, (unsigned long)v); + if (nbits <= (int)BITS_PER_LONG) + convert_SM_to_2C_to_SM(); + } + return *this; +} + +const sc_signed & +sc_signed::operator=(unsigned long v) +{ + sgn = get_sign(v); + if (sgn == SC_ZERO) { + vec_zero(ndigits, digit); + } else { + from_uint(ndigits, digit, v); + if (nbits <= (int)BITS_PER_LONG) + convert_SM_to_2C_to_SM(); + } + return *this; +} + +const sc_signed & +sc_signed::operator=(double v) +{ + is_bad_double(v); + if (v < 0) { + v = -v; + sgn = SC_NEG; + } else { + sgn = SC_POS; + } + + int i = 0; + while (std::floor(v) && (i < ndigits)) { + digit[i++] = ((sc_digit)std::floor(remainder(v, DIGIT_RADIX))) & + DIGIT_MASK; + v /= DIGIT_RADIX; + } + vec_zero(i, ndigits, digit); + convert_SM_to_2C_to_SM(); + return *this; +} + + +// ---------------------------------------------------------------------------- + +const sc_signed & +sc_signed::operator = (const sc_bv_base &v) +{ + int minlen = sc_min(nbits, v.length()); + int i = 0; + for (; i < minlen; ++i) { + safe_set(i, v.get_bit(i), digit); + } + for (; i < nbits; ++i) { + safe_set(i, 0, digit); // zero-extend + } + convert_2C_to_SM(); + return *this; +} + +const sc_signed & +sc_signed::operator = (const sc_lv_base &v) +{ + int minlen = sc_min(nbits, v.length()); + int i = 0; + for (; i < minlen; ++i) { + safe_set(i, sc_logic(v.get_bit(i)).to_bool(), digit); + } + for (; i < nbits; ++i) { + safe_set(i, 0, digit); // zero-extend + } + convert_2C_to_SM(); + return *this; +} + + +// explicit conversion to character string +const std::string +sc_signed::to_string(sc_numrep numrep) const +{ + int len = length(); + sc_fix aa(*this, len, len, SC_TRN, SC_WRAP, 0, SC_ON); + return aa.to_string(numrep); +} + +const std::string +sc_signed::to_string(sc_numrep numrep, bool w_prefix) const +{ + int len = length(); + sc_fix aa(*this, len, len, SC_TRN, SC_WRAP, 0, SC_ON); + return aa.to_string(numrep, w_prefix); +} + + +// ---------------------------------------------------------------------------- +// SECTION: Interfacing with sc_int_base +// ---------------------------------------------------------------------------- + +const sc_signed & +sc_signed::operator = (const sc_int_base &v) +{ + return operator = ((int64)v); +} + + +sc_signed +operator + (const sc_unsigned &u, const sc_int_base &v) +{ + return operator + (u, static_cast<int64>(v)); +} + +sc_signed +operator + (const sc_int_base &u, const sc_unsigned &v) +{ + return operator + (static_cast<int64>(u), v); +} + +sc_signed +operator + (const sc_signed &u, const sc_int_base &v) +{ + return operator + (u, (int64)v); +} + +sc_signed +operator + (const sc_int_base &u, const sc_signed &v) +{ + return operator + ((int64)u, v); +} + +const sc_signed & +sc_signed::operator += (const sc_int_base &v) +{ + return operator += ((int64)v); +} + + +sc_signed +operator - (const sc_unsigned &u, const sc_int_base &v) +{ + return operator - (u, (int64)v); +} + +sc_signed +operator - (const sc_int_base &u, const sc_unsigned &v) +{ + return operator - ((int64)u, v); +} + +sc_signed +operator - (const sc_signed &u, const sc_int_base &v) +{ + return operator - (u, (int64)v); +} + +sc_signed +operator - (const sc_int_base &u, const sc_signed &v) +{ + return operator - ((int64)u, v); +} + +const sc_signed & +sc_signed::operator -= (const sc_int_base &v) +{ + return operator -= ((int64)v); +} + + +sc_signed +operator * (const sc_unsigned &u, const sc_int_base &v) +{ + return operator * (u, static_cast<int64>(v)); +} + +sc_signed +operator * (const sc_int_base &u, const sc_unsigned &v) +{ + return operator * (static_cast<int64>(u), v); +} + +sc_signed +operator * (const sc_signed &u, const sc_int_base &v) +{ + return operator * (u, (int64)v); +} + +sc_signed +operator * (const sc_int_base &u, const sc_signed &v) +{ + return operator * ((int64)u, v); +} + +const sc_signed & +sc_signed::operator *= (const sc_int_base &v) +{ + return operator *= ((int64)v); +} + + +sc_signed +operator / (const sc_unsigned &u, const sc_int_base &v) +{ + return operator / (u, static_cast<int64>(v)); +} + +sc_signed +operator / (const sc_int_base &u, const sc_unsigned &v) +{ + return operator / (static_cast<int64>(u), v); +} + +sc_signed +operator / (const sc_signed &u, const sc_int_base &v) +{ + return operator / (u, (int64)v); +} + +sc_signed +operator / (const sc_int_base &u, const sc_signed &v) +{ + return operator / ((int64)u, v); +} + +const sc_signed & +sc_signed::operator /= (const sc_int_base &v) +{ + return operator /= ((int64)v); +} + + +sc_signed +operator % (const sc_unsigned &u, const sc_int_base &v) +{ + return operator % (u, static_cast<int64>(v)); +} + +sc_signed +operator % (const sc_int_base &u, const sc_unsigned &v) +{ + return operator % (static_cast<int64>(u), v); +} + +sc_signed +operator % (const sc_signed &u, const sc_int_base &v) +{ + return operator % (u, (int64)v); +} + +sc_signed +operator % (const sc_int_base &u, const sc_signed &v) +{ + return operator % ((int64)u, v); +} + +const sc_signed & +sc_signed::operator %= (const sc_int_base &v) +{ + return operator %= ((int64)v); +} + + +sc_signed +operator & (const sc_unsigned &u, const sc_int_base &v) +{ + return operator & (u, static_cast<int64>(v)); +} + +sc_signed +operator & (const sc_int_base &u, const sc_unsigned &v) +{ + return operator & (static_cast<int64>(u), v); +} + +sc_signed +operator & (const sc_signed &u, const sc_int_base &v) +{ + return operator & (u, (int64)v); +} + +sc_signed +operator & (const sc_int_base &u, const sc_signed &v) +{ + return operator & ((int64)u, v); +} + +const sc_signed & +sc_signed::operator &= (const sc_int_base &v) +{ + return operator &= ((int64)v); +} + + +sc_signed +operator | (const sc_unsigned &u, const sc_int_base &v) +{ + return operator | (u, static_cast<int64>(v)); +} + +sc_signed +operator | (const sc_int_base &u, const sc_unsigned &v) +{ + return operator | (static_cast<int64>(u), v); +} + +sc_signed +operator | (const sc_signed& u, const sc_int_base &v) +{ + return operator|(u, (int64)v); +} + +sc_signed +operator | (const sc_int_base &u, const sc_signed &v) +{ + return operator | ((int64)u, v); +} + +const sc_signed & +sc_signed::operator |= (const sc_int_base &v) +{ + return operator |= ((int64)v); +} + + +sc_signed +operator ^ (const sc_unsigned &u, const sc_int_base &v) +{ + return operator ^ (u, static_cast<int64>(v)); +} + +sc_signed +operator ^ (const sc_int_base &u, const sc_unsigned &v) +{ + return operator ^ (static_cast<int64>(u), v); +} + +sc_signed +operator ^ (const sc_signed &u, const sc_int_base &v) +{ + return operator ^ (u, (int64)v); +} + +sc_signed +operator ^ (const sc_int_base &u, const sc_signed &v) +{ + return operator ^ ((int64)u, v); +} + +const sc_signed & +sc_signed::operator ^= (const sc_int_base &v) +{ + return operator ^= ((int64)v); +} + + +sc_signed +operator << (const sc_signed &u, const sc_int_base &v) +{ + return operator << (u, (int64)v); +} + +const sc_signed & +sc_signed::operator <<= (const sc_int_base &v) +{ + return operator <<= ((int64)v); +} + + +sc_signed +operator >> (const sc_signed &u, const sc_int_base &v) +{ + return operator >> (u, (int64)v); +} + +const sc_signed & +sc_signed::operator >>= (const sc_int_base &v) +{ + return operator >>= ((int64)v); +} + + +bool +operator == (const sc_signed &u, const sc_int_base &v) +{ + return operator == (u, (int64)v); +} + +bool +operator == (const sc_int_base &u, const sc_signed &v) +{ + return operator == ((int64)u, v); +} + + +bool +operator != (const sc_signed &u, const sc_int_base &v) +{ + return operator != (u, (int64)v); +} + +bool +operator != (const sc_int_base &u, const sc_signed &v) +{ + return operator != ((int64)u, v); +} + + +bool +operator < (const sc_signed &u, const sc_int_base &v) +{ + return operator < (u, (int64)v); +} + +bool +operator < (const sc_int_base &u, const sc_signed &v) +{ + return operator < ((int64)u, v); +} + + +bool +operator <= (const sc_signed &u, const sc_int_base &v) +{ + return operator <= (u, (int64)v); +} + +bool +operator <= (const sc_int_base &u, const sc_signed &v) +{ + return operator <= ((int64)u, v); +} + + +bool +operator > (const sc_signed &u, const sc_int_base &v) +{ + return operator > (u, (int64)v); +} + +bool +operator > (const sc_int_base &u, const sc_signed &v) +{ + return operator > ((int64)u, v); +} + + +bool +operator >= (const sc_signed &u, const sc_int_base &v) +{ + return operator >= (u, (int64)v); +} + +bool +operator >= (const sc_int_base &u, const sc_signed &v) +{ + return operator >= ((int64)u, v); +} + + +// ---------------------------------------------------------------------------- +// SECTION: Interfacing with sc_uint_base +// ---------------------------------------------------------------------------- + +const sc_signed & +sc_signed::operator = (const sc_uint_base &v) +{ + return operator = ((uint64)v); +} + + +sc_signed +operator + (const sc_signed &u, const sc_uint_base &v) +{ + return operator + (u, (uint64)v); +} + +sc_signed +operator + (const sc_uint_base &u, const sc_signed &v) +{ + return operator + ((uint64)u, v); +} + +const sc_signed & +sc_signed::operator += (const sc_uint_base &v) +{ + return operator += ((uint64)v); +} + + +sc_signed +operator - (const sc_unsigned &u, const sc_uint_base &v) +{ + return operator - (u, (uint64)v); +} + +sc_signed +operator - (const sc_uint_base &u, const sc_unsigned &v) +{ + return operator - ((uint64)u, v); +} + +sc_signed +operator - (const sc_signed &u, const sc_uint_base &v) +{ + return operator - (u, (uint64)v); +} + +sc_signed +operator - (const sc_uint_base &u, const sc_signed &v) +{ + return operator - ((uint64)u, v); +} + +const sc_signed & +sc_signed::operator -= (const sc_uint_base &v) +{ + return operator -= ((uint64)v); +} + + +sc_signed +operator * (const sc_signed &u, const sc_uint_base &v) +{ + return operator * (u, (uint64)v); +} + +sc_signed +operator * (const sc_uint_base &u, const sc_signed &v) +{ + return operator * ((uint64)u, v); +} + +const sc_signed & +sc_signed::operator *= (const sc_uint_base &v) +{ + return operator *= ((uint64)v); +} + + +sc_signed +operator / (const sc_signed &u, const sc_uint_base &v) +{ + return operator / (u, (uint64)v); +} + +sc_signed +operator / (const sc_uint_base &u, const sc_signed &v) +{ + return operator / ((uint64)u, v); +} + +const sc_signed & +sc_signed::operator /= (const sc_uint_base &v) +{ + return operator /= ((uint64)v); +} + + +sc_signed +operator % (const sc_signed &u, const sc_uint_base &v) +{ + return operator % (u, (uint64)v); +} + +sc_signed +operator % (const sc_uint_base &u, const sc_signed &v) +{ + return operator % ((uint64)u, v); +} + +const sc_signed& +sc_signed::operator %= (const sc_uint_base &v) +{ + return operator %= ((uint64)v); +} + + +sc_signed +operator & (const sc_signed &u, const sc_uint_base &v) +{ + return operator & (u, (uint64)v); +} + +sc_signed +operator & (const sc_uint_base &u, const sc_signed &v) +{ + return operator & ((uint64)u, v); +} + +const sc_signed & +sc_signed::operator &= (const sc_uint_base &v) +{ + return operator &= ((uint64)v); +} + + +sc_signed +operator | (const sc_signed &u, const sc_uint_base &v) +{ + return operator | (u, (uint64)v); +} + +sc_signed +operator | (const sc_uint_base &u, const sc_signed &v) +{ + return operator | ((uint64)u, v); +} + +const sc_signed & +sc_signed::operator |= (const sc_uint_base &v) +{ + return operator |= ((uint64)v); +} + + +sc_signed +operator ^ (const sc_signed &u, const sc_uint_base &v) +{ + return operator ^ (u, (uint64)v); +} + +sc_signed +operator ^ (const sc_uint_base &u, const sc_signed &v) +{ + return operator ^ ((uint64)u, v); +} + +const sc_signed & +sc_signed::operator ^= (const sc_uint_base &v) +{ + return operator ^= ((uint64)v); +} + + +sc_signed +operator << (const sc_signed &u, const sc_uint_base &v) +{ + return operator << (u, (uint64)v); +} + +const sc_signed & +sc_signed::operator <<= (const sc_uint_base &v) +{ + return operator <<= ((uint64)v); +} + + +sc_signed +operator >> (const sc_signed& u, const sc_uint_base& v) +{ + return operator >> (u, (uint64)v); +} + +const sc_signed & +sc_signed::operator >>= (const sc_uint_base& v) +{ + return operator >>= ((uint64)v); +} + + +bool +operator == (const sc_signed &u, const sc_uint_base &v) +{ + return operator == (u, (uint64)v); +} + +bool +operator == (const sc_uint_base &u, const sc_signed &v) +{ + return operator == ((uint64)u, v); +} + + +bool +operator != (const sc_signed &u, const sc_uint_base &v) +{ + return operator != (u, (uint64)v); +} + +bool +operator != (const sc_uint_base &u, const sc_signed &v) +{ + return operator != ((uint64)u, v); +} + + +bool +operator < (const sc_signed &u, const sc_uint_base &v) +{ + return operator < (u, (uint64)v); +} + +bool +operator < (const sc_uint_base &u, const sc_signed &v) +{ + return operator < ((uint64)u, v); +} + + +bool +operator <= (const sc_signed &u, const sc_uint_base &v) +{ + return operator <= (u, (uint64)v); +} + +bool +operator <= (const sc_uint_base &u, const sc_signed &v) +{ + return operator <= ((uint64)u, v); +} + + +bool +operator > (const sc_signed &u, const sc_uint_base &v) +{ + return operator > (u, (uint64)v); +} + +bool +operator > (const sc_uint_base &u, const sc_signed &v) +{ + return operator > ((uint64)u, v); +} + + +bool +operator >= (const sc_signed &u, const sc_uint_base &v) +{ + return operator >= (u, (uint64)v); +} + +bool +operator >= (const sc_uint_base &u, const sc_signed &v) +{ + return operator >= ((uint64)u, v); +} + + +// ---------------------------------------------------------------------------- +// SECTION: Input and output operators +// ---------------------------------------------------------------------------- + +// Operators in this section are included from sc_nbcommon.cpp. + + +// ---------------------------------------------------------------------------- +// SECTION: Operator macros. +// ---------------------------------------------------------------------------- + +#define CONVERT_LONG(u) \ +small_type u ## s = get_sign(u); \ +sc_digit u ## d[DIGITS_PER_ULONG]; \ +from_uint(DIGITS_PER_ULONG, u ## d, (unsigned long) u); + +#define CONVERT_LONG_2(u) \ +sc_digit u ## d[DIGITS_PER_ULONG]; \ +from_uint(DIGITS_PER_ULONG, u ## d, (unsigned long) u); + +#define CONVERT_INT(u) \ +small_type u ## s = get_sign(u); \ +sc_digit u ## d[DIGITS_PER_UINT]; \ +from_uint(DIGITS_PER_UINT, u ## d, (unsigned int) u); + +#define CONVERT_INT_2(u) \ +sc_digit u ## d[DIGITS_PER_UINT]; \ +from_uint(DIGITS_PER_UINT, u ## d, (unsigned int) u); + +#define CONVERT_INT64(u) \ +small_type u ## s = get_sign(u); \ +sc_digit u ## d[DIGITS_PER_UINT64]; \ +from_uint(DIGITS_PER_UINT64, u ## d, (uint64) u); + +#define CONVERT_INT64_2(u) \ +sc_digit u ## d[DIGITS_PER_UINT64]; \ +from_uint(DIGITS_PER_UINT64, u ## d, (uint64) u); + + +// ---------------------------------------------------------------------------- +// SECTION: PLUS operators: +, +=, ++ +// ---------------------------------------------------------------------------- + +// Cases to consider when computing u + v: +// 1. 0 + v = v +// 2. u + 0 = u +// 3. if sgn(u) == sgn(v) +// 3.1 u + v = +(u + v) = sgn(u) * (u + v) +// 3.2 (-u) + (-v) = -(u + v) = sgn(u) * (u + v) +// 4. if sgn(u) != sgn(v) +// 4.1 u + (-v) = u - v = sgn(u) * (u - v) +// 4.2 (-u) + v = -(u - v) ==> sgn(u) * (u - v) +// +// Specialization of above cases for computing ++u or u++: +// 1. 0 + 1 = 1 +// 3. u + 1 = u + 1 = sgn(u) * (u + 1) +// 4. (-u) + 1 = -(u - 1) = sgn(u) * (u - 1) + +sc_signed +operator + (const sc_unsigned &u, const sc_signed &v) +{ + if (u.sgn == SC_ZERO) // case 1 + return sc_signed(v); + + if (v.sgn == SC_ZERO) // case 2 + return sc_signed(u); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator + (const sc_signed &u, const sc_unsigned &v) +{ + if (u.sgn == SC_ZERO) // case 1 + return sc_signed(v); + + if (v.sgn == SC_ZERO) // case 2 + return sc_signed(u); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator + (const sc_signed &u, const sc_signed &v) +{ + if (u.sgn == SC_ZERO) // case 1 + return sc_signed(v); + + if (v.sgn == SC_ZERO) // case 2 + return sc_signed(u); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator + (const sc_signed &u, int64 v) +{ + if (v == 0) // case 2 + return sc_signed(u); + + CONVERT_INT64(v); + + if (u.sgn == SC_ZERO) // case 1 + return sc_signed(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator + (int64 u, const sc_signed &v) +{ + if (u == 0) // case 1 + return sc_signed(v); + + CONVERT_INT64(u); + + if (v.sgn == SC_ZERO) // case 2 + return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false); + + // cases 3 and 4 + return add_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator + (const sc_unsigned &u, int64 v) +{ + if (v == 0) // case 2 + return sc_signed(u); + + CONVERT_INT64(v); + + if (u.sgn == SC_ZERO) // case 1 + return sc_signed(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator + (int64 u, const sc_unsigned &v) +{ + if (u == 0) // case 1 + return sc_signed(v); + + CONVERT_INT64(u); + + if (v.sgn == SC_ZERO) // case 2 + return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false); + + // cases 3 and 4 + return add_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator + (const sc_signed &u, uint64 v) +{ + if (v == 0) // case 2 + return sc_signed(u); + + CONVERT_INT64(v); + + if (u.sgn == SC_ZERO) // case 1 + return sc_signed(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator + (uint64 u, const sc_signed &v) +{ + if (u == 0) // case 1 + return sc_signed(v); + + CONVERT_INT64(u); + + if (v.sgn == SC_ZERO) // case 2 + return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false); + + // cases 3 and 4 + return add_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator + (const sc_signed &u, long v) +{ + if (v == 0) // case 2 + return sc_signed(u); + + CONVERT_LONG(v); + + if (u.sgn == SC_ZERO) // case 1 + return sc_signed(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator + (long u, const sc_signed &v) +{ + if (u == 0) // case 1 + return sc_signed(v); + + CONVERT_LONG(u); + + if (v.sgn == SC_ZERO) // case 2 + return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false); + + // cases 3 and 4 + return add_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator + (const sc_unsigned &u, long v) +{ + if (v == 0) // case 2 + return sc_signed(u); + + CONVERT_LONG(v); + + if (u.sgn == SC_ZERO) // case 1 + return sc_signed(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator + (long u, const sc_unsigned &v) +{ + if (u == 0) // case 1 + return sc_signed(v); + + CONVERT_LONG(u); + + if (v.sgn == SC_ZERO) // case 2 + return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false); + + // cases 3 and 4 + return add_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator + (const sc_signed &u, unsigned long v) +{ + if (v == 0) // case 2 + return sc_signed(u); + + CONVERT_LONG(v); + + if (u.sgn == SC_ZERO) // case 1 + return sc_signed(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator + (unsigned long u, const sc_signed &v) +{ + if (u == 0) // case 1 + return sc_signed(v); + + CONVERT_LONG(u); + + if (v.sgn == SC_ZERO) // case 2 + return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false); + + // cases 3 and 4 + return add_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + +// The rest of the operators in this section are included from +// sc_nbcommon.cpp. + +// ---------------------------------------------------------------------------- +// SECTION: MINUS operators: -, -=, -- +// ---------------------------------------------------------------------------- + +// Cases to consider when computing u + v: +// 1. u - 0 = u +// 2. 0 - v = -v +// 3. if sgn(u) != sgn(v) +// 3.1 u - (-v) = u + v = sgn(u) * (u + v) +// 3.2 (-u) - v = -(u + v) ==> sgn(u) * (u + v) +// 4. if sgn(u) == sgn(v) +// 4.1 u - v = +(u - v) = sgn(u) * (u - v) +// 4.2 (-u) - (-v) = -(u - v) = sgn(u) * (u - v) +// +// Specialization of above cases for computing --u or u--: +// 1. 0 - 1 = -1 +// 3. (-u) - 1 = -(u + 1) = sgn(u) * (u + 1) +// 4. u - 1 = u - 1 = sgn(u) * (u - 1) + +sc_signed +operator - (const sc_unsigned &u, const sc_unsigned &v) +{ + if (v.sgn == SC_ZERO) // case 1 + return sc_signed(u); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(v, -v.sgn); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + -v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator - (const sc_unsigned &u, const sc_signed &v) +{ + if (v.sgn == SC_ZERO) // case 1 + return sc_signed(u); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(v, -v.sgn); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + -v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator - (const sc_signed &u, const sc_unsigned &v) +{ + if (v.sgn == SC_ZERO) // case 1 + return sc_signed(u); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(v, -v.sgn); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + -v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator - (const sc_signed &u, const sc_signed &v) +{ + if (v.sgn == SC_ZERO) // case 1 + return sc_signed(u); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(v, -v.sgn); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + -v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator - (const sc_signed &u, int64 v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_INT64(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(-vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + -vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator - (int64 u, const sc_signed &v) +{ + if (u == 0) // case 1 + return sc_signed(v, -v.sgn); + + CONVERT_INT64(u); + + if (v.sgn == SC_ZERO) // case 2 + return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false); + + // cases 3 and 4 + return add_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + -v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator - (const sc_unsigned &u, int64 v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_INT64(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(-vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + -vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator - (int64 u, const sc_unsigned &v) +{ + if (u == 0) // case 1 + return sc_signed(v, -v.sgn); + + CONVERT_INT64(u); + + if (v.sgn == SC_ZERO) // case 2 + return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false); + + // cases 3 and 4 + return add_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + -v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator - (const sc_signed &u, uint64 v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_INT64(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(-vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false); + + // cases 3 and 4 + + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + -vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator - (uint64 u, const sc_signed &v) +{ + if (u == 0) // case 1 + return sc_signed(v, -v.sgn); + + CONVERT_INT64(u); + + if (v.sgn == SC_ZERO) // case 2 + return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false); + + // cases 3 and 4 + return add_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + -v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator - (const sc_unsigned &u, uint64 v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_INT64(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(-vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + -vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator - (uint64 u, const sc_unsigned &v) +{ + if (u == 0) // case 1 + return sc_signed(v, -v.sgn); + + CONVERT_INT64(u); + + if (v.sgn == SC_ZERO) // case 2 + return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false); + + // cases 3 and 4 + return add_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + -v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator - (const sc_signed &u, long v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_LONG(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(-vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + -vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator - (long u, const sc_signed &v) +{ + if (u == 0) // case 1 + return sc_signed(v, -v.sgn); + + CONVERT_LONG(u); + + if (v.sgn == SC_ZERO) // case 2 + return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false); + + // cases 3 and 4 + return add_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + -v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator - (const sc_unsigned &u, long v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_LONG(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(-vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + -vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator - (long u, const sc_unsigned &v) +{ + if (u == 0) // case 1 + return sc_signed(v, -v.sgn); + + CONVERT_LONG(u); + + if (v.sgn == SC_ZERO) // case 2 + return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false); + + // cases 3 and 4 + return add_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + -v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator - (const sc_signed &u, unsigned long v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_LONG(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(-vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + -vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator - (unsigned long u, const sc_signed &v) +{ + if (u == 0) // case 1 + return sc_signed(v, -v.sgn); + + CONVERT_LONG(u); + + if (v.sgn == SC_ZERO) // case 2 + return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false); + + // cases 3 and 4 + return add_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + -v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator - (const sc_unsigned &u, unsigned long v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_LONG(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(-vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false); + + // cases 3 and 4 + return add_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + -vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator - (unsigned long u, const sc_unsigned &v) +{ + if (u == 0) // case 1 + return sc_signed(v, -v.sgn); + + CONVERT_LONG(u); + + if (v.sgn == SC_ZERO) // case 2 + return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false); + + // cases 3 and 4 + return add_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + -v.sgn, v.nbits, v.ndigits, v.digit); +} + +// The rest of the operators in this section are included from +// sc_nbcommon.cpp. + + +// ---------------------------------------------------------------------------- +// SECTION: MULTIPLICATION operators: *, *= +// ---------------------------------------------------------------------------- + +// Cases to consider when computing u * v: +// 1. u * 0 = 0 * v = 0 +// 2. 1 * v = v and -1 * v = -v +// 3. u * 1 = u and u * -1 = -u +// 4. u * v = u * v + +sc_signed +operator * (const sc_unsigned &u, const sc_signed &v) +{ + small_type s = mul_signs(u.sgn, v.sgn); + + if (s == SC_ZERO) // case 1 + return sc_signed(); + + // cases 2-4 + return mul_signed_friend(s, u.nbits, u.ndigits, u.digit, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator * (const sc_signed &u, const sc_unsigned &v) +{ + small_type s = mul_signs(u.sgn, v.sgn); + + if (s == SC_ZERO) // case 1 + return sc_signed(); + + // cases 2-4 + return mul_signed_friend(s, u.nbits, u.ndigits, u.digit, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator * (const sc_signed &u, const sc_signed &v) +{ + small_type s = mul_signs(u.sgn, v.sgn); + + if (s == SC_ZERO) // case 1 + return sc_signed(); + + // cases 2-4 + return mul_signed_friend(s, u.nbits, u.ndigits, u.digit, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator * (const sc_signed &u, int64 v) +{ + small_type s = mul_signs(u.sgn, get_sign(v)); + + if (s == SC_ZERO) // case 1 + return sc_signed(); + + CONVERT_INT64_2(v); + + // cases 2-4 + return mul_signed_friend(s, u.nbits, u.ndigits, u.digit, + BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator * (int64 u, const sc_signed &v) +{ + small_type s = mul_signs(v.sgn, get_sign(u)); + + if (s == SC_ZERO) // case 1 + return sc_signed(); + + CONVERT_INT64_2(u); + + // cases 2-4 + return mul_signed_friend(s, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator * (const sc_unsigned &u, int64 v) +{ + small_type s = mul_signs(u.sgn, get_sign(v)); + + if (s == SC_ZERO) // case 1 + return sc_signed(); + + CONVERT_INT64_2(v); + + // cases 2-4 + return mul_signed_friend(s, u.nbits, u.ndigits, u.digit, + BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator * (int64 u, const sc_unsigned &v) +{ + small_type s = mul_signs(v.sgn, get_sign(u)); + + if (s == SC_ZERO) // case 1 + return sc_signed(); + + CONVERT_INT64_2(u); + + // cases 2-4 + return mul_signed_friend(s, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator * (const sc_signed &u, uint64 v) +{ + small_type s = mul_signs(u.sgn, get_sign(v)); + + if (s == SC_ZERO) // case 1 + return sc_signed(); + + CONVERT_INT64_2(v); + + // cases 2-4 + return mul_signed_friend(s, u.nbits, u.ndigits, u.digit, + BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator * (uint64 u, const sc_signed &v) +{ + small_type s = mul_signs(v.sgn, get_sign(u)); + + if (s == SC_ZERO) // case 1 + return sc_signed(); + + CONVERT_INT64_2(u); + + // cases 2-4 + return mul_signed_friend(s, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator * (const sc_signed &u, long v) +{ + small_type s = mul_signs(u.sgn, get_sign(v)); + + if (s == SC_ZERO) // case 1 + return sc_signed(); + + CONVERT_LONG_2(v); + + // cases 2-4 + return mul_signed_friend(s, u.nbits, u.ndigits, u.digit, + BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator * (long u, const sc_signed &v) +{ + small_type s = mul_signs(v.sgn, get_sign(u)); + + if (s == SC_ZERO) // case 1 + return sc_signed(); + + CONVERT_LONG_2(u); + + // cases 2-4 + return mul_signed_friend(s, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator * (const sc_unsigned &u, long v) +{ + small_type s = mul_signs(u.sgn, get_sign(v)); + + if (s == SC_ZERO) // case 1 + return sc_signed(); + + CONVERT_LONG_2(v); + + // cases 2-4 + return mul_signed_friend(s, u.nbits, u.ndigits, u.digit, + BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator * (long u, const sc_unsigned &v) +{ + small_type s = mul_signs(v.sgn, get_sign(u)); + + if (s == SC_ZERO) // case 1 + return sc_signed(); + + CONVERT_LONG_2(u); + + // cases 2-4 + return mul_signed_friend(s, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator * (const sc_signed &u, unsigned long v) +{ + small_type s = mul_signs(u.sgn, get_sign(v)); + + if (s == SC_ZERO) // case 1 + return sc_signed(); + + CONVERT_LONG_2(v); + + // else cases 2-4 + return mul_signed_friend(s, u.nbits, u.ndigits, u.digit, + BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + +sc_signed +operator * (unsigned long u, const sc_signed &v) +{ + small_type s = mul_signs(v.sgn, get_sign(u)); + + if (s == SC_ZERO) // case 1 + return sc_signed(); + + CONVERT_LONG_2(u); + + // cases 2-4 + return mul_signed_friend(s, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.nbits, v.ndigits, v.digit); +} + +// The rest of the operators in this section are included from +// sc_nbcommon.cpp. + + +// ---------------------------------------------------------------------------- +// SECTION: DIVISION operators: /, /= +// ---------------------------------------------------------------------------- + +// Cases to consider when finding the quotient q = floor(u/v): +// Note that u = q * v + r for r < q. +// 1. 0 / 0 or u / 0 => error +// 2. 0 / v => 0 = 0 * v + 0 +// 3. u / v & &u = v => u = 1 * u + 0 - u or v can be 1 or -1 +// 4. u / v & &u < v => u = 0 * v + u - u can be 1 or -1 +// 5. u / v & &u > v => u = q * v + r - v can be 1 or -1 + +sc_signed +operator / (const sc_unsigned &u, const sc_signed &v) +{ + small_type s = mul_signs(u.sgn, v.sgn); + + if (s == SC_ZERO) { + div_by_zero(v.sgn); // case 1 + return sc_signed(); // case 2 + } + + // other cases + return div_signed_friend(s, u.nbits, u.ndigits, u.digit, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator / (const sc_signed &u, const sc_unsigned &v) +{ + small_type s = mul_signs(u.sgn, v.sgn); + + if (s == SC_ZERO) { + div_by_zero(v.sgn); // case 1 + return sc_signed(); // case 2 + } + + // other cases + return div_signed_friend(s, u.nbits, u.ndigits, u.digit, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator / (const sc_signed &u, const sc_signed &v) +{ + small_type s = mul_signs(u.sgn, v.sgn); + + if (s == SC_ZERO) { + div_by_zero(v.sgn); // case 1 + return sc_signed(); // case 2 + } + + // other cases + return div_signed_friend(s, u.nbits, u.ndigits, u.digit, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator / (const sc_signed &u, int64 v) +{ + small_type s = mul_signs(u.sgn, get_sign(v)); + + if (s == SC_ZERO) { + div_by_zero(v); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_INT64_2(v); + + // other cases + return div_signed_friend(s, u.nbits, u.ndigits, u.digit, + BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator / (int64 u, const sc_signed &v) +{ + small_type s = mul_signs(v.sgn, get_sign(u)); + + if (s == SC_ZERO) { + div_by_zero(v.sgn); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_INT64_2(u); + + // other cases + return div_signed_friend(s, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator / (const sc_unsigned &u, int64 v) +{ + small_type s = mul_signs(u.sgn, get_sign(v)); + + if (s == SC_ZERO) { + div_by_zero(v); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_INT64_2(v); + + // other cases + return div_signed_friend(s, u.nbits, u.ndigits, u.digit, + BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator / (int64 u, const sc_unsigned &v) +{ + small_type s = mul_signs(v.sgn, get_sign(u)); + + if (s == SC_ZERO) { + div_by_zero(v.sgn); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_INT64_2(u); + + // other cases + return div_signed_friend(s, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator / (const sc_signed &u, uint64 v) +{ + small_type s = mul_signs(u.sgn, get_sign(v)); + + if (s == SC_ZERO) { + div_by_zero(v); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_INT64_2(v); + + // other cases + return div_signed_friend(s, u.nbits, u.ndigits, u.digit, + BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator / (uint64 u, const sc_signed &v) +{ + small_type s = mul_signs(v.sgn, get_sign(u)); + + if (s == SC_ZERO) { + div_by_zero(v.sgn); // case 1 + return sc_signed(); // case 2 + + } + + CONVERT_INT64_2(u); + + // other cases + return div_signed_friend(s, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator / (const sc_signed &u, long v) +{ + small_type s = mul_signs(u.sgn, get_sign(v)); + + if (s == SC_ZERO) { + div_by_zero(v); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_LONG_2(v); + + // other cases + return div_signed_friend(s, u.nbits, u.ndigits, u.digit, + BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator / (long u, const sc_signed &v) +{ + small_type s = mul_signs(v.sgn, get_sign(u)); + + if (s == SC_ZERO) { + div_by_zero(v.sgn); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_LONG_2(u); + + // other cases + return div_signed_friend(s, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator / (const sc_unsigned &u, long v) +{ + small_type s = mul_signs(u.sgn, get_sign(v)); + + if (s == SC_ZERO) { + div_by_zero(v); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_LONG_2(v); + + // other cases + return div_signed_friend(s, u.nbits, u.ndigits, u.digit, + BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator / (long u, const sc_unsigned &v) +{ + small_type s = mul_signs(v.sgn, get_sign(u)); + + if (s == SC_ZERO) { + div_by_zero(v.sgn); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_LONG_2(u); + + // other cases + return div_signed_friend(s, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator / (const sc_signed &u, unsigned long v) +{ + small_type s = mul_signs(u.sgn, get_sign(v)); + + if (s == SC_ZERO) { + div_by_zero(v); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_LONG_2(v); + + // other cases + return div_signed_friend(s, u.nbits, u.ndigits, u.digit, + BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator / (unsigned long u, const sc_signed &v) +{ + small_type s = mul_signs(v.sgn, get_sign(u)); + + if (s == SC_ZERO) { + div_by_zero(v.sgn); // case 1 + return sc_signed(); // case 2 + + } + + CONVERT_LONG_2(u); + + // other cases + return div_signed_friend(s, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.nbits, v.ndigits, v.digit); +} + +// The rest of the operators in this section are included from +// sc_nbcommon.cpp. + + +// ---------------------------------------------------------------------------- +// SECTION: MOD operators: %, %=. +// ---------------------------------------------------------------------------- + +// Cases to consider when finding the remainder r = u % v: +// Note that u = q * v + r for r < q. +// 1. 0 % 0 or u % 0 => error +// 2. 0 % v => 0 = 0 * v + 0 +// 3. u % v & &u = v => u = 1 * u + 0 - u or v can be 1 or -1 +// 4. u % v & &u < v => u = 0 * v + u - u can be 1 or -1 +// 5. u % v & &u > v => u = q * v + r - v can be 1 or -1 + +sc_signed +operator % (const sc_unsigned &u, const sc_signed &v) +{ + if ((u.sgn == SC_ZERO) || (v.sgn == SC_ZERO)) { + div_by_zero(v.sgn); // case 1 + return sc_signed(); // case 2 + } + + // other cases + return mod_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator % (const sc_signed &u, const sc_unsigned &v) +{ + if ((u.sgn == SC_ZERO) || (v.sgn == SC_ZERO)) { + div_by_zero(v.sgn); // case 1 + return sc_signed(); // case 2 + } + + // other cases + return mod_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator % (const sc_signed &u, const sc_signed &v) +{ + if ((u.sgn == SC_ZERO) || (v.sgn == SC_ZERO)) { + div_by_zero(v.sgn); // case 1 + return sc_signed(); // case 2 + } + + // other cases + return mod_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator % (const sc_signed &u, int64 v) +{ + small_type vs = get_sign(v); + + if ((u.sgn == SC_ZERO) || (vs == SC_ZERO)) { + div_by_zero(v); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_INT64_2(v); + + // other cases + return mod_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator % (int64 u, const sc_signed &v) +{ + small_type us = get_sign(u); + + if ((us == SC_ZERO) || (v.sgn == SC_ZERO)) { + div_by_zero(v.sgn); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_INT64_2(u); + + // other cases + return mod_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator % (const sc_unsigned &u, int64 v) +{ + small_type vs = get_sign(v); + + if ((u.sgn == SC_ZERO) || (vs == SC_ZERO)) { + div_by_zero(v); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_INT64_2(v); + + // other cases + return mod_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator % (int64 u, const sc_unsigned &v) +{ + small_type us = get_sign(u); + + if ((us == SC_ZERO) || (v.sgn == SC_ZERO)) { + div_by_zero(v.sgn); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_INT64_2(u); + + // other cases + return mod_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator % (const sc_signed &u, uint64 v) +{ + if ((u.sgn == SC_ZERO) || (v == 0)) { + div_by_zero(v); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_INT64_2(v); + + // other cases + return mod_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator % (uint64 u, const sc_signed &v) +{ + if ((u == 0) || (v.sgn == SC_ZERO)) { + div_by_zero(v.sgn); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_INT64(u); + + // other cases + return mod_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator % (const sc_signed &u, long v) +{ + small_type vs = get_sign(v); + + if ((u.sgn == SC_ZERO) || (vs == SC_ZERO)) { + div_by_zero(v); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_LONG_2(v); + + // other cases + return mod_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator % (long u, const sc_signed &v) +{ + small_type us = get_sign(u); + + if ((us == SC_ZERO) || (v.sgn == SC_ZERO)) { + div_by_zero(v.sgn); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_LONG_2(u); + + // other cases + return mod_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator % (const sc_unsigned &u, long v) +{ + + small_type vs = get_sign(v); + + if ((u.sgn == SC_ZERO) || (vs == SC_ZERO)) { + div_by_zero(v); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_LONG_2(v); + + // other cases + return mod_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator % (long u, const sc_unsigned &v) +{ + small_type us = get_sign(u); + + if ((us == SC_ZERO) || (v.sgn == SC_ZERO)) { + div_by_zero(v.sgn); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_LONG_2(u); + + // other cases + return mod_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator % (const sc_signed &u, unsigned long v) +{ + if ((u.sgn == SC_ZERO) || (v == 0)) { + div_by_zero(v); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_LONG_2(v); + + // other cases + return mod_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator % (unsigned long u, const sc_signed &v) +{ + if ((u == 0) || (v.sgn == SC_ZERO)) { + div_by_zero(v.sgn); // case 1 + return sc_signed(); // case 2 + } + + CONVERT_LONG(u); + + // other cases + return mod_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.nbits, v.ndigits, v.digit); +} + +// The rest of the operators in this section are included from +// sc_nbcommon.cpp. + + +// ---------------------------------------------------------------------------- +// SECTION: Bitwise AND operators: &, &= +// ---------------------------------------------------------------------------- + +// Cases to consider when computing u &v: +// 1. u & 0 = 0 &v = 0 +// 2. u &v => sgn = + +// 3. (-u) & (-v) => sgn = - +// 4. u & (-v) => sgn = + +// 5. (-u) &v => sgn = + + +sc_signed +operator & (const sc_unsigned &u, const sc_signed &v) +{ + if ((u.sgn == SC_ZERO) || (v.sgn == SC_ZERO)) // case 1 + return sc_signed(); + + // other cases + return and_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator & (const sc_signed &u, const sc_unsigned &v) +{ + if ((u.sgn == SC_ZERO) || (v.sgn == SC_ZERO)) // case 1 + return sc_signed(); + + // other cases + return and_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator & (const sc_signed &u, const sc_signed &v) +{ + if ((u.sgn == SC_ZERO) || (v.sgn == SC_ZERO)) // case 1 + return sc_signed(); + + // other cases + return and_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator & (const sc_signed &u, int64 v) +{ + if ((u.sgn == SC_ZERO) || (v == 0)) // case 1 + return sc_signed(); + + CONVERT_INT64(v); + + // other cases + return and_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator & (int64 u, const sc_signed &v) +{ + if ((u == 0) || (v.sgn == SC_ZERO)) // case 1 + return sc_signed(); + + CONVERT_INT64(u); + + // other cases + return and_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator & (const sc_unsigned &u, int64 v) +{ + if ((u.sgn == SC_ZERO) || (v == 0)) // case 1 + return sc_signed(); + + CONVERT_INT64(v); + + // other cases + return and_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator & (int64 u, const sc_unsigned &v) +{ + if ((u == 0) || (v.sgn == SC_ZERO)) // case 1 + return sc_signed(); + + CONVERT_INT64(u); + + // other cases + return and_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator & (const sc_signed &u, uint64 v) +{ + if ((u.sgn == SC_ZERO) || (v == 0)) // case 1 + return sc_signed(); + + CONVERT_INT64(v); + + // other cases + return and_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator & (uint64 u, const sc_signed &v) +{ + if ((u == 0) || (v.sgn == SC_ZERO)) // case 1 + return sc_signed(); + + CONVERT_INT64(u); + + // other cases + return and_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator & (const sc_signed &u, long v) +{ + if ((u.sgn == SC_ZERO) || (v == 0)) // case 1 + return sc_signed(); + + CONVERT_LONG(v); + + // other cases + return and_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator & (long u, const sc_signed &v) +{ + if ((u == 0) || (v.sgn == SC_ZERO)) // case 1 + return sc_signed(); + + CONVERT_LONG(u); + + // other cases + return and_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator & (const sc_unsigned &u, long v) +{ + if ((u.sgn == SC_ZERO) || (v == 0)) // case 1 + return sc_signed(); + + CONVERT_LONG(v); + + // other cases + return and_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator & (long u, const sc_unsigned &v) +{ + if ((u == 0) || (v.sgn == SC_ZERO)) // case 1 + return sc_signed(); + + CONVERT_LONG(u); + + // other cases + return and_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator & (const sc_signed &u, unsigned long v) +{ + if ((u.sgn == SC_ZERO) || (v == 0)) // case 1 + return sc_signed(); + + CONVERT_LONG(v); + + // other cases + return and_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator & (unsigned long u, const sc_signed &v) +{ + if ((u == 0) || (v.sgn == SC_ZERO)) // case 1 + return sc_signed(); + + CONVERT_LONG(u); + + // other cases + return and_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + +// The rest of the operators in this section are included from +// sc_nbcommon.cpp. + + +// ---------------------------------------------------------------------------- +// SECTION: Bitwise OR operators: |, |= +// ---------------------------------------------------------------------------- + +// Cases to consider when computing u | v: +// 1. u | 0 = u +// 2. 0 | v = v +// 3. u | v => sgn = + +// 4. (-u) | (-v) => sgn = - +// 5. u | (-v) => sgn = - +// 6. (-u) | v => sgn = - + +sc_signed +operator | (const sc_unsigned &u, const sc_signed &v) +{ + if (v.sgn == SC_ZERO) // case 1 + return sc_signed(u); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(v); + + // other cases + return or_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator | (const sc_signed &u, const sc_unsigned &v) +{ + if (v.sgn == SC_ZERO) // case 1 + return sc_signed(u); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(v); + + // other cases + return or_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator | (const sc_signed &u, const sc_signed &v) +{ + if (v.sgn == SC_ZERO) // case 1 + return sc_signed(u); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(v); + + // other cases + return or_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator | (const sc_signed &u, int64 v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_INT64(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false); + + // other cases + return or_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator | (int64 u, const sc_signed &v) +{ + if (u == 0) + return sc_signed(v); + + CONVERT_INT64(u); + + if (v.sgn == SC_ZERO) + return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false); + + // other cases + return or_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator | (const sc_unsigned &u, int64 v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_INT64(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false); + + // other cases + return or_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator | (int64 u, const sc_unsigned &v) +{ + if (u == 0) + return sc_signed(v); + + CONVERT_INT64(u); + + if (v.sgn == SC_ZERO) + return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false); + + // other cases + return or_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator | (const sc_signed &u, uint64 v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_INT64(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false); + + // other cases + return or_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator | (uint64 u, const sc_signed &v) +{ + if (u == 0) + return sc_signed(v); + + CONVERT_INT64(u); + + if (v.sgn == SC_ZERO) + return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false); + + // other cases + return or_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator | (const sc_signed &u, long v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_LONG(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false); + + // other cases + return or_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator | (long u, const sc_signed &v) +{ + if (u == 0) + return sc_signed(v); + + CONVERT_LONG(u); + + if (v.sgn == SC_ZERO) + return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false); + + // other cases + return or_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator | (const sc_unsigned &u, long v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_LONG(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false); + + // other cases + return or_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator | (long u, const sc_unsigned &v) +{ + if (u == 0) + return sc_signed(v); + + CONVERT_LONG(u); + + if (v.sgn == SC_ZERO) + return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false); + + // other cases + return or_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator | (const sc_signed &u, unsigned long v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_LONG(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false); + + // other cases + return or_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator | (unsigned long u, const sc_signed &v) +{ + if (u == 0) + return sc_signed(v); + + CONVERT_LONG(u); + + if (v.sgn == SC_ZERO) + return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false); + + // other cases + return or_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + +// The rest of the operators in this section are included from +// sc_nbcommon.cpp. + + +// ---------------------------------------------------------------------------- +// SECTION: Bitwise XOR operators: ^, ^= +// ---------------------------------------------------------------------------- + +// Cases to consider when computing u ^ v: +// Note that u ^ v = (~u &v) | (u & ~v). +// 1. u ^ 0 = u +// 2. 0 ^ v = v +// 3. u ^ v => sgn = + +// 4. (-u) ^ (-v) => sgn = - +// 5. u ^ (-v) => sgn = - +// 6. (-u) ^ v => sgn = + + +sc_signed +operator ^ (const sc_unsigned &u, const sc_signed &v) +{ + + if (v.sgn == SC_ZERO) // case 1 + return sc_signed(u); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(v); + + // other cases + return xor_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + v.sgn, v.nbits, v.ndigits, v.digit); + +} + + +sc_signed +operator ^ (const sc_signed &u, const sc_unsigned &v) +{ + if (v.sgn == SC_ZERO) // case 1 + return sc_signed(u); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(v); + + // other cases + return xor_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator ^ (const sc_signed &u, const sc_signed &v) +{ + if (v.sgn == SC_ZERO) // case 1 + return sc_signed(u); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(v); + + // other cases + return xor_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator ^ (const sc_signed &u, int64 v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_INT64(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false); + + // other cases + return xor_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator ^ (int64 u, const sc_signed &v) +{ + if (u == 0) + return sc_signed(v); + + CONVERT_INT64(u); + + if (v.sgn == SC_ZERO) + return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false); + + // other cases + return xor_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator ^ (const sc_unsigned &u, int64 v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_INT64(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false); + + // other cases + return xor_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + + +sc_signed +operator ^ (int64 u, const sc_unsigned &v) +{ + if (u == 0) + return sc_signed(v); + + CONVERT_INT64(u); + + if (v.sgn == SC_ZERO) + return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false); + + // other cases + return xor_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator ^ (const sc_signed &u, uint64 v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_INT64(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd, false); + + // other cases + return xor_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_UINT64, DIGITS_PER_UINT64, vd); +} + +sc_signed +operator ^ (uint64 u, const sc_signed &v) +{ + if (u == 0) + return sc_signed(v); + + CONVERT_INT64(u); + + if (v.sgn == SC_ZERO) + return sc_signed(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, false); + + // other cases + return xor_signed_friend(us, BITS_PER_UINT64, DIGITS_PER_UINT64, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator ^ (const sc_signed &u, long v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_LONG(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false); + + // other cases + return xor_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator ^ (long u, const sc_signed &v) +{ + if (u == 0) + return sc_signed(v); + + CONVERT_LONG(u); + + if (v.sgn == SC_ZERO) + return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false); + + // other cases + return xor_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator ^ (const sc_unsigned &u, long v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_LONG(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false); + + // other cases + return xor_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + + +sc_signed +operator ^ (long u, const sc_unsigned &v) +{ + if (u == 0) + return sc_signed(v); + + CONVERT_LONG(u); + + if (v.sgn == SC_ZERO) + return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false); + + // other cases + return xor_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + + +sc_signed +operator ^ (const sc_signed &u, unsigned long v) +{ + if (v == 0) // case 1 + return sc_signed(u); + + CONVERT_LONG(v); + + if (u.sgn == SC_ZERO) // case 2 + return sc_signed(vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd, false); + + // other cases + return xor_signed_friend(u.sgn, u.nbits, u.ndigits, u.digit, + vs, BITS_PER_ULONG, DIGITS_PER_ULONG, vd); +} + +sc_signed +operator ^ (unsigned long u, const sc_signed &v) +{ + if (u == 0) + return sc_signed(v); + + CONVERT_LONG(u); + + if (v.sgn == SC_ZERO) + return sc_signed(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, false); + + // other cases + return xor_signed_friend(us, BITS_PER_ULONG, DIGITS_PER_ULONG, ud, + v.sgn, v.nbits, v.ndigits, v.digit); +} + +// The rest of the operators in this section are included from +// sc_nbcommon.cpp. + + +// ---------------------------------------------------------------------------- +// SECTION: Bitwise NOT operator: ~ +// ---------------------------------------------------------------------------- + +// Operators in this section are included from sc_nbcommon.cpp. + + +// ---------------------------------------------------------------------------- +// SECTION: LEFT SHIFT operators: <<, <<= +// ---------------------------------------------------------------------------- + +sc_signed +operator << (const sc_signed &u, const sc_unsigned &v) +{ + if (v.sgn == SC_ZERO) + return sc_signed(u); + + return operator << (u, v.to_ulong()); +} + +// The rest of the operators in this section are included from +// sc_nbcommon.cpp. + + +// ---------------------------------------------------------------------------- +// SECTION: RIGHT SHIFT operators: >>, >>= +// ---------------------------------------------------------------------------- + +sc_signed +operator >> (const sc_signed &u, const sc_unsigned &v) +{ + if (v.sgn == SC_ZERO) + return sc_signed(u); + + return operator >> (u, v.to_ulong()); +} + +// The rest of the operators in this section are included from +// sc_nbcommon.cpp. + + +// ---------------------------------------------------------------------------- +// SECTION: Unary arithmetic operators. +// ---------------------------------------------------------------------------- + +sc_signed +operator + (const sc_signed &u) +{ + return sc_signed(u); +} + +sc_signed +operator - (const sc_signed &u) +{ + return sc_signed(u, -u.sgn); +} + +sc_signed +operator - (const sc_unsigned &u) +{ + return sc_signed(u, -u.sgn); +} + + +// ---------------------------------------------------------------------------- +// SECTION: EQUAL operator: == +// ---------------------------------------------------------------------------- + +bool +operator == (const sc_signed &u, const sc_signed &v) +{ + if (u.sgn != v.sgn) + return false; + + if (&u == &v) + return true; + + if (vec_skip_and_cmp(u.ndigits, u.digit, v.ndigits, v.digit) != 0) + return false; + + return true; +} + + +bool +operator == (const sc_signed &u, int64 v) +{ + CONVERT_INT64(v); + + if (u.sgn != vs) + return false; + + if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_INT64, vd) != 0) + return false; + + return true; +} + + +bool +operator == (int64 u, const sc_signed &v) +{ + CONVERT_INT64(u); + + if (us != v.sgn) + return false; + + if (vec_skip_and_cmp(DIGITS_PER_INT64, ud, v.ndigits, v.digit) != 0) + return false; + + return true; +} + + +bool +operator == (const sc_signed &u, uint64 v) +{ + CONVERT_INT64(v); + + if (u.sgn != vs) + return false; + + if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_INT64, vd) != 0) + return false; + + return true; +} + + +bool +operator == (uint64 u, const sc_signed &v) +{ + CONVERT_INT64(u); + + if (us != v.sgn) + return false; + + if (vec_skip_and_cmp(DIGITS_PER_INT64, ud, v.ndigits, v.digit) != 0) + return false; + + return true; +} + + +bool +operator == (const sc_signed &u, long v) +{ + CONVERT_LONG(v); + + if (u.sgn != vs) + return false; + + if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_LONG, vd) != 0) + return false; + + return true; +} + + +bool +operator == (long u, const sc_signed &v) +{ + CONVERT_LONG(u); + + if (us != v.sgn) + return false; + + if (vec_skip_and_cmp(DIGITS_PER_LONG, ud, v.ndigits, v.digit) != 0) + return false; + + return true; +} + + +bool +operator == (const sc_signed &u, unsigned long v) +{ + CONVERT_LONG(v); + + if (u.sgn != vs) + return false; + + if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_LONG, vd) != 0) + return false; + + return true; +} + + +bool +operator == (unsigned long u, const sc_signed &v) +{ + CONVERT_LONG(u); + + if (us != v.sgn) + return false; + + if (vec_skip_and_cmp(DIGITS_PER_LONG, ud, v.ndigits, v.digit) != 0) + return false; + + return true; +} + + +// ---------------------------------------------------------------------------- +// SECTION: NOT_EQUAL operator: != +// ---------------------------------------------------------------------------- + +// Operators in this section are included from sc_nbcommon.cpp. + + +// ---------------------------------------------------------------------------- +// SECTION: LESS THAN operator: < +// ---------------------------------------------------------------------------- + +bool +operator < (const sc_signed &u, const sc_signed &v) +{ + if (u.sgn < v.sgn) + return true; + + if (u.sgn > v.sgn) + return false; + + // u.sgn == v.sgn + + if (&u == &v) + return false; + + if (u.sgn == SC_POS) { + if (vec_skip_and_cmp(u.ndigits, u.digit, v.ndigits, v.digit) < 0) + return true; + } else if (u.sgn == SC_NEG) { + if (vec_skip_and_cmp(u.ndigits, u.digit, v.ndigits, v.digit) > 0) + return true; + } + + return false; +} + + +bool +operator < (const sc_signed &u, int64 v) +{ + CONVERT_INT64(v); + + if (u.sgn < vs) + return true; + + if (u.sgn > vs) + return false; + + // u.sgn == vs + + if (vs == SC_POS) { + if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_INT64, vd) < 0) + return true; + } else if (vs == SC_NEG) { + if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_INT64, vd) > 0) + return true; + } + + return false; +} + + +bool +operator < (int64 u, const sc_signed &v) +{ + CONVERT_INT64(u); + + if (us < v.sgn) + return true; + + if (us > v.sgn) + return false; + + // us == v.sgn + + if (us == SC_POS) { + if (vec_skip_and_cmp(DIGITS_PER_INT64, ud, v.ndigits, v.digit) < 0) + return true; + } else if (us == SC_NEG) { + if (vec_skip_and_cmp(DIGITS_PER_INT64, ud, v.ndigits, v.digit) > 0) + return true; + } + + return false; +} + + +bool +operator < (const sc_signed &u, uint64 v) +{ + CONVERT_INT64(v); + + if (u.sgn < vs) + return true; + + if (u.sgn > vs) + return false; + + // u.sgn == vs + + if (vs == SC_POS) { + if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_INT64, vd) < 0) + return true; + } + + return false; +} + + +bool +operator < (uint64 u, const sc_signed &v) +{ + CONVERT_INT64(u); + + if (us < v.sgn) + return true; + + if (us > v.sgn) + return false; + + // us == v.sgn + + if (us == SC_POS) { + if (vec_skip_and_cmp(DIGITS_PER_INT64, ud, v.ndigits, v.digit) < 0) + return true; + } + + return false; +} + + +bool +operator < (const sc_signed &u, long v) +{ + CONVERT_LONG(v); + + if (u.sgn < vs) + return true; + + if (u.sgn > vs) + return false; + + // u.sgn == vs + + if (vs == SC_POS) { + if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_LONG, vd) < 0) + return true; + + } else if (vs == SC_NEG) { + if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_LONG, vd) > 0) + return true; + } + + return false; +} + + +bool +operator < (long u, const sc_signed &v) +{ + CONVERT_LONG(u); + + if (us < v.sgn) + return true; + + if (us > v.sgn) + return false; + + // us == v.sgn + + if (us == SC_POS) { + if (vec_skip_and_cmp(DIGITS_PER_LONG, ud, v.ndigits, v.digit) < 0) + return true; + } else if (us == SC_NEG) { + if (vec_skip_and_cmp(DIGITS_PER_LONG, ud, v.ndigits, v.digit) > 0) + return true; + } + + return false; +} + + +bool +operator < (const sc_signed &u, unsigned long v) +{ + CONVERT_LONG(v); + + if (u.sgn < vs) + return true; + + if (u.sgn > vs) + return false; + + // u.sgn == vs + + if (vs == SC_POS) { + if (vec_skip_and_cmp(u.ndigits, u.digit, DIGITS_PER_LONG, vd) < 0) + return true; + } + + return false; +} + + +bool +operator < (unsigned long u, const sc_signed &v) +{ + CONVERT_LONG(u); + + if (us < v.sgn) + return true; + + if (us > v.sgn) + return false; + + // us == v.sgn + + if (us == SC_POS) { + if (vec_skip_and_cmp(DIGITS_PER_LONG, ud, v.ndigits, v.digit) < 0) + return true; + } + + return false; +} + + +// --------------------------------------------------------------------------- +// SECTION: LESS THAN or EQUAL operator: <= +// --------------------------------------------------------------------------- + +// Operators in this section are included from sc_nbcommon.cpp. + + +// --------------------------------------------------------------------------- +// SECTION: GREATER THAN operator: > +// --------------------------------------------------------------------------- + +// Operators in this section are included from sc_nbcommon.cpp. + + +// --------------------------------------------------------------------------- +// SECTION: GREATER THAN or EQUAL operator: >= +// --------------------------------------------------------------------------- + +// Operators in this section are included from sc_nbcommon.cpp. + + +// --------------------------------------------------------------------------- +// SECTION: Public members - Other utils. +// --------------------------------------------------------------------------- + +bool +sc_signed::iszero() const +{ + if (sgn == SC_ZERO) + return true; + else if (sgn != SC_NOSIGN) + return false; + else + return check_for_zero(ndigits, digit); +} + + +bool +sc_signed::sign() const +{ + if (sgn == SC_NEG) + return 1; + else if (sgn != SC_NOSIGN) + return 0; + else + return ((digit[ndigits - 1] & one_and_zeros(bit_ord(nbits - 1))) != 0); +} + +// The rest of the utils in this section are included from sc_nbcommon.cpp. + + +// ---------------------------------------------------------------------------- +// SECTION: Private members. +// ---------------------------------------------------------------------------- + +// The private members in this section are included from sc_nbcommon.cpp. + +#define CLASS_TYPE sc_signed +#define CLASS_TYPE_STR "sc_signed" + +#define ADD_HELPER add_signed_friend +#define SUB_HELPER sub_signed_friend +#define MUL_HELPER mul_signed_friend +#define DIV_HELPER div_signed_friend +#define MOD_HELPER mod_signed_friend +#define AND_HELPER and_signed_friend +#define OR_HELPER or_signed_friend +#define XOR_HELPER xor_signed_friend + +#include "sc_nbfriends.inc" + +#undef SC_UNSIGNED +#define SC_SIGNED +#define IF_SC_SIGNED 1 // 1 = sc_signed +#define CLASS_TYPE_SUBREF sc_signed_subref_r +#define OTHER_CLASS_TYPE sc_unsigned +#define OTHER_CLASS_TYPE_SUBREF sc_unsigned_subref_r + +#define MUL_ON_HELPER mul_on_help_signed +#define DIV_ON_HELPER div_on_help_signed +#define MOD_ON_HELPER mod_on_help_signed + +#include "sc_nbcommon.inc" + +#undef MOD_ON_HELPER +#undef DIV_ON_HELPER +#undef MUL_ON_HELPER + +#undef OTHER_CLASS_TYPE_SUBREF +#undef OTHER_CLASS_TYPE +#undef CLASS_TYPE_SUBREF +#undef IF_SC_SIGNED +#undef SC_SIGNED + +#undef XOR_HELPER +#undef OR_HELPER +#undef AND_HELPER +#undef MOD_HELPER +#undef DIV_HELPER +#undef MUL_HELPER +#undef SUB_HELPER +#undef ADD_HELPER + +#undef CLASS_TYPE +#undef CLASS_TYPE_STR + +#include "sc_signed_bitref.inc" +#include "sc_signed_subref.inc" + +#undef CONVERT_LONG +#undef CONVERT_LONG_2 +#undef CONVERT_INT64 +#undef CONVERT_INT64_2 + +} // namespace sc_dt |