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/*****************************************************************************
sc_nbutils.h -- External and friend functions for both sc_signed and
sc_unsigned classes.
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_nbutils.h,v $
// Revision 1.6 2011/09/08 16:12:15 acg
// Philipp A. Hartmann: fix issue with Sun machines wrt real math libraries.
//
// Revision 1.5 2011/08/26 23:00:01 acg
// Torsten Maehne: remove use of ieeefp.h.
//
// Revision 1.4 2011/08/15 16:43:24 acg
// Torsten Maehne: changes to remove unused argument warnings.
//
// Revision 1.3 2011/02/18 20:19:15 acg
// Andy Goodrich: updating Copyright notice.
//
// Revision 1.2 2010/09/06 16:35:48 acg
// Andy Goodrich: changed i386 to __i386__ in ifdef's.
//
// Revision 1.1.1.1 2006/12/15 20:20:05 acg
// SystemC 2.3
//
// Revision 1.3 2006/01/13 18:49:32 acg
// Added $Log command so that CVS check in comments are reproduced in the
// source.
//
#ifndef __SYSTEMC_EXT_DT_INT_SC_NBUTILS_HH__
#define __SYSTEMC_EXT_DT_INT_SC_NBUTILS_HH__
#include <cmath>
#include <ios>
#include <limits>
#include <ostream>
#include "../../utils/sc_report_handler.hh"
#include "../bit/messages.hh"
#include "messages.hh"
#include "sc_nbdefs.hh"
namespace sc_dt
{
//-----------------------------------------------------------------------------
//"sc_io_base"
//
// This inline function returns the type of an i/o stream's base as a SystemC
// base designator.
// stream_object = reference to the i/o stream whose base is to be returned.
//
//"sc_io_show_base"
//
// This inline function returns true if the base should be shown when a SystemC
// value is displayed via the supplied stream operator.
// stream_object = reference to the i/o stream to return showbase value for.
//-----------------------------------------------------------------------------
inline sc_numrep
sc_io_base(::std::ostream &os, sc_numrep def_base)
{
std::ios::fmtflags flags = os.flags() & std::ios::basefield;
if (flags & ::std::ios::dec) return SC_DEC;
if (flags & ::std::ios::hex) return SC_HEX;
if (flags & ::std::ios::oct) return SC_OCT;
return def_base;
}
inline bool
sc_io_show_base(::std::ostream &os)
{
return (os.flags() & ::std::ios::showbase) != 0;
}
const std::string to_string(sc_numrep);
inline ::std::ostream &
operator << (::std::ostream &os, sc_numrep numrep)
{
os << to_string(numrep);
return os;
}
// ----------------------------------------------------------------------------
// One transition of the FSM to find base and sign of a number.
extern small_type fsm_move(
char c, small_type &b, small_type &s, small_type &state);
// Parse a character string into its equivalent binary bits.
extern void parse_binary_bits(
const char *src_p, int dst_n, sc_digit *data_p, sc_digit *ctrl_p=0);
// Parse a character string into its equivalent hexadecimal bits.
extern void parse_hex_bits(
const char *src_p, int dst_n, sc_digit *data_p, sc_digit *ctrl_p=0);
// Find the base and sign of a number in v.
extern const char *get_base_and_sign(
const char *v, small_type &base, small_type &sign);
// Create a number out of v in base.
extern small_type
vec_from_str(int unb, int und, sc_digit *u,
const char *v, sc_numrep base=SC_NOBASE);
// ----------------------------------------------------------------------------
// Naming convention for the vec_ functions below:
// vec_OP(u, v, w) : computes w = u OP v.
// vec_OP_on(u, v) : computes u = u OP v if u has more digits than v.
// vec_OP_on2(u, v) : computes u = u OP v if u has fewer digits than v.
// _large : parameters are vectors.
// _small : one of the parameters is a single digit.
// Xlen : the number of digits in X.
// ----------------------------------------------------------------------------
// ----------------------------------------------------------------------------
// Functions for vector addition: w = u + v or u += v.
// ----------------------------------------------------------------------------
extern void vec_add(int ulen, const sc_digit *u,
int vlen, const sc_digit *v, sc_digit *w);
extern void vec_add_on(int ulen, sc_digit *u, int vlen, const sc_digit *v);
extern void vec_add_on2(int ulen, sc_digit *u, int vlen, const sc_digit *v);
extern void vec_add_small(int ulen, const sc_digit *u,
sc_digit v, sc_digit *w);
extern void vec_add_small_on(int ulen, sc_digit *u, sc_digit v);
// ----------------------------------------------------------------------------
// Functions for vector subtraction: w = u - v, u -= v, or u = v - u.
// ----------------------------------------------------------------------------
extern void vec_sub(int ulen, const sc_digit *u,
int vlen, const sc_digit *v, sc_digit *w);
extern void vec_sub_on(int ulen, sc_digit *u, int vlen, const sc_digit *v);
extern void vec_sub_on2(int ulen, sc_digit *u, int vlen, const sc_digit *v);
extern void vec_sub_small(int ulen, const sc_digit *u,
sc_digit v, sc_digit *w);
extern void vec_sub_small_on(int ulen, sc_digit *u, sc_digit v);
// ----------------------------------------------------------------------------
// Functions for vector multiplication: w = u * v or u *= v.
// ----------------------------------------------------------------------------
extern void vec_mul(int ulen, const sc_digit *u,
int vlen, const sc_digit *v, sc_digit *w);
extern void vec_mul_small(int ulen, const sc_digit *u,
sc_digit v, sc_digit *w);
extern void vec_mul_small_on(int ulen, sc_digit *u, sc_digit v);
// ----------------------------------------------------------------------------
// Functions for vector division: w = u / v.
// ----------------------------------------------------------------------------
extern void vec_div_large(int ulen, const sc_digit *u,
int vlen, const sc_digit *v, sc_digit *w);
extern void vec_div_small(int ulen, const sc_digit *u,
sc_digit v, sc_digit *w);
// ----------------------------------------------------------------------------
// Functions for vector remainder: w = u % v or u %= v.
// ----------------------------------------------------------------------------
extern void vec_rem_large(int ulen, const sc_digit *u,
int vlen, const sc_digit *v, sc_digit *w);
extern sc_digit vec_rem_small(int ulen, const sc_digit *u, sc_digit v);
extern sc_digit vec_rem_on_small(int ulen, sc_digit *u, sc_digit v);
// ----------------------------------------------------------------------------
// Functions to convert between vectors of char and sc_digit.
// ----------------------------------------------------------------------------
extern int vec_to_char(int ulen, const sc_digit *u, int vlen, uchar *v);
extern void vec_from_char(int ulen, const uchar *u, int vlen, sc_digit *v);
// ----------------------------------------------------------------------------
// Functions to shift left or right, or to create a mirror image of vectors.
// ----------------------------------------------------------------------------
extern void vec_shift_left(int ulen, sc_digit *u, int nsl);
extern void vec_shift_right(int vlen, sc_digit *u, int nsr, sc_digit fill=0);
extern void vec_reverse(int unb, int und, sc_digit *ud, int l, int r=0);
// ----------------------------------------------------------------------------
// Various utility functions.
// ----------------------------------------------------------------------------
// Return the low half part of d.
inline sc_digit low_half(sc_digit d) { return (d & HALF_DIGIT_MASK); }
// Return the high half part of d. The high part of the digit may have
// more bits than BITS_PER_HALF_DIGIT due to, e.g., overflow in the
// multiplication. Hence, in other functions that use high_half(),
// make sure that the result contains BITS_PER_HALF_DIGIT if
// necessary. This is done by high_half_masked().
inline sc_digit high_half(sc_digit d) { return (d >> BITS_PER_HALF_DIGIT); }
inline sc_digit
high_half_masked(sc_digit d)
{
return (high_half(d) & HALF_DIGIT_MASK);
}
// Concatenate the high part h and low part l. Assumes that h and l
// are less than or equal to HALF_DIGIT_MASK;
inline sc_digit
concat(sc_digit h, sc_digit l)
{
return ((h << BITS_PER_HALF_DIGIT) | l);
}
// Create a number with n 1's.
inline sc_digit
one_and_ones(int n)
{
return (((sc_digit) 1 << n) - 1);
}
// Create a number with one 1 and n 0's.
inline sc_digit one_and_zeros(int n) { return ((sc_digit) 1 << n); }
// ----------------------------------------------------------------------------
// Find the digit that bit i is in.
inline int digit_ord(int i) { return (i / BITS_PER_DIGIT); }
// Find the bit in digit_ord(i) that bit i corressponds to.
inline int bit_ord(int i) { return (i % BITS_PER_DIGIT); }
// ----------------------------------------------------------------------------
// Functions to compare, zero, complement vector(s).
// ----------------------------------------------------------------------------
// Compare u and v and return r
// r = 0 if u == v
// r < 0 if u < v
// r > 0 if u > v
// - Assume that all the leading zero digits are already skipped.
// - ulen and/or vlen can be zero.
// - Every digit is less than or equal to DIGIT_MASK;
inline int
vec_cmp(int ulen, const sc_digit *u,
int vlen, const sc_digit *v)
{
#ifdef DEBUG_SYSTEMC
// sc_assert((ulen <= 0) || (u != NULL));
// sc_assert((vlen <= 0) || (v != NULL));
// ulen and vlen can be equal to 0 because vec_cmp can be called
// after vec_skip_leading_zeros.
sc_assert((ulen >= 0) && (u != NULL));
sc_assert((vlen >= 0) && (v != NULL));
// If ulen > 0, then the leading digit of u must be non-zero.
sc_assert((ulen <= 0) || (u[ulen - 1] != 0));
sc_assert((vlen <= 0) || (v[vlen - 1] != 0));
#endif
if (ulen != vlen)
return (ulen - vlen);
// ulen == vlen >= 1
while ((--ulen >= 0) && (u[ulen] == v[ulen]))
{}
if (ulen < 0)
return 0;
#ifdef DEBUG_SYSTEMC
// Test to see if the result is wrong due to the presence of
// overflow bits.
sc_assert((u[ulen] & DIGIT_MASK) != (v[ulen] & DIGIT_MASK));
#endif
return (int)(u[ulen] - v[ulen]);
}
// Find the index of the first non-zero digit.
// - ulen (before) = the number of digits in u.
// - the returned value = the index of the first non-zero digit.
// A negative value of -1 indicates that every digit in u is zero.
inline int
vec_find_first_nonzero(int ulen, const sc_digit *u)
{
#ifdef DEBUG_SYSTEMC
// sc_assert((ulen <= 0) || (u != NULL));
sc_assert((ulen > 0) && (u != NULL));
#endif
while ((--ulen >= 0) && (! u[ulen]))
{}
return ulen;
}
// Skip all the leading zero digits.
// - ulen (before) = the number of digits in u.
// - the returned value = the number of non-zero digits in u.
// - the returned value is non-negative.
inline int
vec_skip_leading_zeros(int ulen, const sc_digit *u)
{
#ifdef DEBUG_SYSTEMC
// sc_assert((ulen <= 0) || (u != NULL));
sc_assert((ulen > 0) && (u != NULL));
#endif
return (1 + vec_find_first_nonzero(ulen, u));
}
// Compare u and v and return r
// r = 0 if u == v
// r < 0 if u < v
// r > 0 if u > v
inline int
vec_skip_and_cmp(int ulen, const sc_digit *u, int vlen, const sc_digit *v)
{
#ifdef DEBUG_SYSTEMC
sc_assert((ulen > 0) && (u != NULL));
sc_assert((vlen > 0) && (v != NULL));
#endif
ulen = vec_skip_leading_zeros(ulen, u);
vlen = vec_skip_leading_zeros(vlen, v);
// ulen and/or vlen can be equal to zero here.
return vec_cmp(ulen, u, vlen, v);
}
// Set u[i] = 0 where i = from ... (ulen - 1).
inline void
vec_zero(int from, int ulen, sc_digit *u)
{
#ifdef DEBUG_SYSTEMC
sc_assert((ulen > 0) && (u != NULL));
#endif
for (int i = from; i < ulen; i++)
u[i] = 0;
}
// Set u[i] = 0 where i = 0 .. (ulen - 1).
inline void vec_zero(int ulen, sc_digit *u) { vec_zero(0, ulen, u); }
// Copy n digits from v to u.
inline void
vec_copy(int n, sc_digit *u, const sc_digit *v)
{
#ifdef DEBUG_SYSTEMC
sc_assert((n > 0) && (u != NULL) && (v != NULL));
#endif
for (int i = 0; i < n; ++i)
u[i] = v[i];
}
// Copy v to u, where ulen >= vlen, and zero the rest of the digits in u.
inline void
vec_copy_and_zero(int ulen, sc_digit *u, int vlen, const sc_digit *v)
{
#ifdef DEBUG_SYSTEMC
sc_assert((ulen > 0) && (u != NULL));
sc_assert((vlen > 0) && (v != NULL));
sc_assert(ulen >= vlen);
#endif
vec_copy(vlen, u, v);
vec_zero(vlen, ulen, u);
}
// 2's-complement the digits in u.
inline void
vec_complement(int ulen, sc_digit *u)
{
#ifdef DEBUG_SYSTEMC
sc_assert((ulen > 0) && (u != NULL));
#endif
sc_digit carry = 1;
for (int i = 0; i < ulen; ++i) {
carry += (~u[i] & DIGIT_MASK);
u[i] = carry & DIGIT_MASK;
carry >>= BITS_PER_DIGIT;
}
}
// ----------------------------------------------------------------------------
// Functions to handle built-in types or signs.
// ----------------------------------------------------------------------------
// u = v
// - v is an unsigned long or uint64, and positive integer.
template<class Type>
inline void
from_uint(int ulen, sc_digit *u, Type v)
{
#ifdef DEBUG_SYSTEMC
// sc_assert((ulen <= 0) || (u != NULL));
sc_assert((ulen > 0) && (u != NULL));
sc_assert(v >= 0);
#endif
int i = 0;
while (v && (i < ulen)) {
u[i++] = static_cast<sc_digit>(v & DIGIT_MASK);
v >>= BITS_PER_DIGIT;
}
vec_zero(i, ulen, u);
}
#ifndef __GNUC__
# define SC_LIKELY_(x) !!(x)
#else
# define SC_LIKELY_(x) __builtin_expect(!!(x), 1)
#endif
// Get u's sign and return its absolute value.
// u can be long, unsigned long, int64, or uint64.
template<class Type>
inline small_type
get_sign(Type &u)
{
if (u > 0)
return SC_POS;
if (u == 0)
return SC_ZERO;
// no positive number representable for minimum value,
// leave as is to avoid Undefined Behaviour
if (SC_LIKELY_(u > (std::numeric_limits<Type>::min)()))
u = -u;
return SC_NEG;
}
#undef SC_LIKELY_
// Return us * vs:
// - Return SC_ZERO if either sign is SC_ZERO.
// - Return SC_POS if us == vs
// - Return SC_NEG if us != vs.
inline small_type
mul_signs(small_type us, small_type vs)
{
if ((us == SC_ZERO) || (vs == SC_ZERO))
return SC_ZERO;
if (us == vs)
return SC_POS;
return SC_NEG;
}
// ----------------------------------------------------------------------------
// Functions to test for errors and print out error messages.
// ----------------------------------------------------------------------------
#ifdef SC_MAX_NBITS
void test_bound_failed(int nb);
inline void
test_bound(int nb)
{
if (nb > SC_MAX_NBITS) {
test_bound_failed(nb);
sc_core::sc_abort(); // can't recover from here
}
}
#endif
template<class Type>
inline void
div_by_zero(Type s)
{
if (s == 0) {
SC_REPORT_ERROR(sc_core::SC_ID_OPERATION_FAILED_,
"div_by_zero<Type>(Type) : division by zero");
sc_core::sc_abort(); // can't recover from here
}
}
// ----------------------------------------------------------------------------
// Functions to check if a given vector is zero or make one.
// ----------------------------------------------------------------------------
// If u[i] is zero for every i = 0,..., ulen - 1, return SC_ZERO,
// else return s.
inline small_type
check_for_zero(small_type s, int ulen, const sc_digit *u)
{
#ifdef DEBUG_SYSTEMC
// sc_assert(ulen >= 0);
sc_assert((ulen > 0) && (u != NULL));
#endif
if (vec_find_first_nonzero(ulen, u) < 0)
return SC_ZERO;
return s;
}
// If u[i] is zero for every i = 0,..., ulen - 1, return true,
// else return false.
inline bool
check_for_zero(int ulen, const sc_digit *u)
{
#ifdef DEBUG_SYSTEMC
// sc_assert(ulen >= 0);
sc_assert((ulen > 0) && (u != NULL));
#endif
if (vec_find_first_nonzero(ulen, u) < 0)
return true;
return false;
}
inline small_type
make_zero(int nd, sc_digit *d)
{
vec_zero(nd, d);
return SC_ZERO;
}
// ----------------------------------------------------------------------------
// Functions for both signed and unsigned numbers to convert sign-magnitude
// (SM) and 2's complement (2C) representations.
// added = 1 => for signed.
// added = 0 => for unsigned.
// IF_SC_SIGNED can be used as 'added'.
// ----------------------------------------------------------------------------
// Trim the extra leading bits of a signed or unsigned number.
inline void
trim(small_type added, int nb, int nd, sc_digit *d)
{
#ifdef DEBUG_SYSTEMC
sc_assert((nb > 0) && (nd > 0) && (d != NULL));
#endif
d[nd - 1] &= one_and_ones(bit_ord(nb - 1) + added);
}
// Convert an (un)signed number from sign-magnitude representation to
// 2's complement representation and trim the extra bits.
inline void
convert_SM_to_2C_trimmed(small_type added,
small_type s, int nb, int nd, sc_digit *d)
{
if (s == SC_NEG) {
vec_complement(nd, d);
trim(added, nb, nd, d);
}
}
// Convert an (un)signed number from sign-magnitude representation to
// 2's complement representation but do not trim the extra bits.
inline void
convert_SM_to_2C(small_type s, int nd, sc_digit *d)
{
if (s == SC_NEG)
vec_complement(nd, d);
}
// ----------------------------------------------------------------------------
// Functions to convert between sign-magnitude (SM) and 2's complement
// (2C) representations of signed numbers.
// ----------------------------------------------------------------------------
// Trim the extra leading bits off a signed number.
inline void
trim_signed(int nb, int nd, sc_digit *d)
{
#ifdef DEBUG_SYSTEMC
sc_assert((nb > 0) && (nd > 0) && (d != NULL));
#endif
d[nd - 1] &= one_and_ones(bit_ord(nb - 1) + 1);
}
// Convert a signed number from 2's complement representation to
// sign-magnitude representation, and return its sign. nd is d's
// actual size, without zeros eliminated.
inline small_type
convert_signed_2C_to_SM(int nb, int nd, sc_digit *d)
{
#ifdef DEBUG_SYSTEMC
sc_assert((nb > 0) && (nd > 0) && (d != NULL));
#endif
small_type s;
int xnb = bit_ord(nb - 1) + 1;
// Test the sign bit.
if (d[nd - 1] & one_and_zeros(xnb - 1)) {
s = SC_NEG;
vec_complement(nd, d);
} else {
s = SC_POS;
}
// Trim the last digit.
d[nd - 1] &= one_and_ones(xnb);
// Check if the new number is zero.
if (s == SC_POS)
return check_for_zero(s, nd, d);
return s;
}
// Convert a signed number from sign-magnitude representation to 2's
// complement representation, get its sign, convert back to
// sign-magnitude representation, and return its sign. nd is d's
// actual size, without zeros eliminated.
inline small_type
convert_signed_SM_to_2C_to_SM(small_type s, int nb, int nd, sc_digit *d)
{
convert_SM_to_2C(s, nd, d);
return convert_signed_2C_to_SM(nb, nd, d);
}
// Convert a signed number from sign-magnitude representation to 2's
// complement representation and trim the extra bits.
inline void
convert_signed_SM_to_2C_trimmed(small_type s, int nb, int nd, sc_digit *d)
{
convert_SM_to_2C_trimmed(1, s, nb, nd, d);
}
// Convert a signed number from sign-magnitude representation to 2's
// complement representation but do not trim the extra bits.
inline void
convert_signed_SM_to_2C(small_type s, int nd, sc_digit *d)
{
convert_SM_to_2C(s, nd, d);
}
// ----------------------------------------------------------------------------
// Functions to convert between sign-magnitude (SM) and 2's complement
// (2C) representations of unsigned numbers.
// ----------------------------------------------------------------------------
// Trim the extra leading bits off an unsigned number.
inline void
trim_unsigned(int nb, int nd, sc_digit *d)
{
#ifdef DEBUG_SYSTEMC
sc_assert((nb > 0) && (nd > 0) && (d != NULL));
#endif
d[nd - 1] &= one_and_ones(bit_ord(nb - 1));
}
// Convert an unsigned number from 2's complement representation to
// sign-magnitude representation, and return its sign. nd is d's
// actual size, without zeros eliminated.
inline small_type
convert_unsigned_2C_to_SM(int nb, int nd, sc_digit *d)
{
trim_unsigned(nb, nd, d);
return check_for_zero(SC_POS, nd, d);
}
// Convert an unsigned number from sign-magnitude representation to
// 2's complement representation, get its sign, convert back to
// sign-magnitude representation, and return its sign. nd is d's
// actual size, without zeros eliminated.
inline small_type
convert_unsigned_SM_to_2C_to_SM(small_type s, int nb, int nd, sc_digit *d)
{
convert_SM_to_2C(s, nd, d);
return convert_unsigned_2C_to_SM(nb, nd, d);
}
// Convert an unsigned number from sign-magnitude representation to
// 2's complement representation and trim the extra bits.
inline void
convert_unsigned_SM_to_2C_trimmed(small_type s, int nb, int nd, sc_digit *d)
{
convert_SM_to_2C_trimmed(0, s, nb, nd, d);
}
// Convert an unsigned number from sign-magnitude representation to
// 2's complement representation but do not trim the extra bits.
inline void
convert_unsigned_SM_to_2C(small_type s, int nd, sc_digit *d)
{
convert_SM_to_2C(s, nd, d);
}
// ----------------------------------------------------------------------------
// Functions to copy one (un)signed number to another.
// ----------------------------------------------------------------------------
// Copy v to u.
inline void
copy_digits_signed(small_type &us,
int unb, int und, sc_digit *ud,
int vnb, int vnd, const sc_digit *vd)
{
if (und <= vnd) {
vec_copy(und, ud, vd);
if (unb <= vnb)
us = convert_signed_SM_to_2C_to_SM(us, unb, und, ud);
} else { // und > vnd
vec_copy_and_zero(und, ud, vnd, vd);
}
}
// Copy v to u.
inline void
copy_digits_unsigned(small_type &us,
int unb, int und, sc_digit *ud,
int /* vnb */, int vnd, const sc_digit *vd)
{
if (und <= vnd)
vec_copy(und, ud, vd);
else // und > vnd
vec_copy_and_zero(und, ud, vnd, vd);
us = convert_unsigned_SM_to_2C_to_SM(us, unb, und, ud);
}
// ----------------------------------------------------------------------------
// Faster set(i, v), without bound checking.
// ----------------------------------------------------------------------------
// A version of set(i, v) without bound checking.
inline void
safe_set(int i, bool v, sc_digit *d)
{
#ifdef DEBUG_SYSTEMC
sc_assert((i >= 0) && (d != NULL));
#endif
int bit_num = bit_ord(i);
int digit_num = digit_ord(i);
if (v)
d[digit_num] |= one_and_zeros(bit_num);
else
d[digit_num] &= ~(one_and_zeros(bit_num));
}
// ----------------------------------------------------------------------------
// Function to check if a double number is bad (NaN or infinite).
// ----------------------------------------------------------------------------
inline bool
is_nan(double v)
{
return std::numeric_limits<double>::has_quiet_NaN && (v != v);
}
inline bool
is_inf(double v)
{
return v == std::numeric_limits<double>::infinity() ||
v == -std::numeric_limits<double>::infinity();
}
inline void
is_bad_double(double v)
{
// Windows throws exception.
if (is_nan(v) || is_inf(v))
SC_REPORT_ERROR(sc_core::SC_ID_VALUE_NOT_VALID_,
"is_bad_double(double v) : "
"v is not finite - NaN or Inf");
}
} // namespace sc_dt
#endif // __SYSTEMC_EXT_DT_INT_SC_NBUTILS_HH__