* of special functions or implement the interface to the bignum package. */
/*
- * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany
+ * GiNaC Copyright (C) 1999-2002 Johannes Gutenberg University Mainz, Germany
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
#include <vector>
#include <stdexcept>
#include <string>
-
-#if defined(HAVE_SSTREAM)
#include <sstream>
-#elif defined(HAVE_STRSTREAM)
-#include <strstream>
-#else
-#error Need either sstream or strstream
-#endif
#include "numeric.h"
#include "ex.h"
#include "print.h"
#include "archive.h"
-#include "debugmsg.h"
+#include "tostring.h"
#include "utils.h"
// CLN should pollute the global namespace as little as possible. Hence, we
GINAC_IMPLEMENT_REGISTERED_CLASS(numeric, basic)
//////////
-// default ctor, dtor, copy ctor assignment
-// operator and helpers
+// default ctor, dtor, copy ctor, assignment operator and helpers
//////////
/** default ctor. Numerically it initializes to an integer zero. */
numeric::numeric() : basic(TINFO_numeric)
{
- debugmsg("numeric default ctor", LOGLEVEL_CONSTRUCT);
value = cln::cl_I(0);
setflag(status_flags::evaluated | status_flags::expanded);
}
numeric::numeric(int i) : basic(TINFO_numeric)
{
- debugmsg("numeric ctor from int",LOGLEVEL_CONSTRUCT);
// Not the whole int-range is available if we don't cast to long
// first. This is due to the behaviour of the cl_I-ctor, which
- // emphasizes efficiency. However, if the integer is small enough,
- // i.e. satisfies cl_immediate_p(), we save space and dereferences by
- // using an immediate type:
- if (cln::cl_immediate_p(i))
+ // emphasizes efficiency. However, if the integer is small enough
+ // we save space and dereferences by using an immediate type.
+ // (C.f. <cln/object.h>)
+ if (i < (1U<<cl_value_len-1))
value = cln::cl_I(i);
else
value = cln::cl_I((long) i);
numeric::numeric(unsigned int i) : basic(TINFO_numeric)
{
- debugmsg("numeric ctor from uint",LOGLEVEL_CONSTRUCT);
// Not the whole uint-range is available if we don't cast to ulong
// first. This is due to the behaviour of the cl_I-ctor, which
- // emphasizes efficiency. However, if the integer is small enough,
- // i.e. satisfies cl_immediate_p(), we save space and dereferences by
- // using an immediate type:
- if (cln::cl_immediate_p(i))
+ // emphasizes efficiency. However, if the integer is small enough
+ // we save space and dereferences by using an immediate type.
+ // (C.f. <cln/object.h>)
+ if (i < (1U<<cl_value_len-1))
value = cln::cl_I(i);
else
value = cln::cl_I((unsigned long) i);
numeric::numeric(long i) : basic(TINFO_numeric)
{
- debugmsg("numeric ctor from long",LOGLEVEL_CONSTRUCT);
value = cln::cl_I(i);
setflag(status_flags::evaluated | status_flags::expanded);
}
numeric::numeric(unsigned long i) : basic(TINFO_numeric)
{
- debugmsg("numeric ctor from ulong",LOGLEVEL_CONSTRUCT);
value = cln::cl_I(i);
setflag(status_flags::evaluated | status_flags::expanded);
}
* @exception overflow_error (division by zero) */
numeric::numeric(long numer, long denom) : basic(TINFO_numeric)
{
- debugmsg("numeric ctor from long/long",LOGLEVEL_CONSTRUCT);
if (!denom)
throw std::overflow_error("division by zero");
value = cln::cl_I(numer) / cln::cl_I(denom);
numeric::numeric(double d) : basic(TINFO_numeric)
{
- debugmsg("numeric ctor from double",LOGLEVEL_CONSTRUCT);
// We really want to explicitly use the type cl_LF instead of the
// more general cl_F, since that would give us a cl_DF only which
// will not be promoted to cl_LF if overflow occurs:
* notation like "2+5*I". */
numeric::numeric(const char *s) : basic(TINFO_numeric)
{
- debugmsg("numeric ctor from string",LOGLEVEL_CONSTRUCT);
cln::cl_N ctorval = 0;
// parse complex numbers (functional but not completely safe, unfortunately
// std::string does not understand regexpese):
// ss should represent a simple sum like 2+5*I
- std::string ss(s);
- // make it safe by adding explicit sign
+ std::string ss = s;
+ std::string::size_type delim;
+
+ // make this implementation safe by adding explicit sign
if (ss.at(0) != '+' && ss.at(0) != '-' && ss.at(0) != '#')
ss = '+' + ss;
- std::string::size_type delim;
+
+ // We use 'E' as exponent marker in the output, but some people insist on
+ // writing 'e' at input, so let's substitute them right at the beginning:
+ while ((delim = ss.find("e"))!=std::string::npos)
+ ss.replace(delim,1,"E");
+
+ // main parser loop:
do {
// chop ss into terms from left to right
std::string term;
bool imaginary = false;
delim = ss.find_first_of(std::string("+-"),1);
// Do we have an exponent marker like "31.415E-1"? If so, hop on!
- if ((delim != std::string::npos) && (ss.at(delim-1) == 'E'))
+ if (delim!=std::string::npos && ss.at(delim-1)=='E')
delim = ss.find_first_of(std::string("+-"),delim+1);
term = ss.substr(0,delim);
- if (delim != std::string::npos)
+ if (delim!=std::string::npos)
ss = ss.substr(delim);
// is the term imaginary?
- if (term.find("I") != std::string::npos) {
+ if (term.find("I")!=std::string::npos) {
// erase 'I':
- term = term.replace(term.find("I"),1,"");
+ term.erase(term.find("I"),1);
// erase '*':
- if (term.find("*") != std::string::npos)
- term = term.replace(term.find("*"),1,"");
+ if (term.find("*")!=std::string::npos)
+ term.erase(term.find("*"),1);
// correct for trivial +/-I without explicit factor on I:
- if (term.size() == 1)
- term += "1";
+ if (term.size()==1)
+ term += '1';
imaginary = true;
}
- if (term.find(".") != std::string::npos) {
+ if (term.find('.')!=std::string::npos || term.find('E')!=std::string::npos) {
// CLN's short type cl_SF is not very useful within the GiNaC
// framework where we are mainly interested in the arbitrary
// precision type cl_LF. Hence we go straight to the construction
// 31.4E-1 --> 31.4e-1_<Digits>
// and s on.
// No exponent marker? Let's add a trivial one.
- if (term.find("E") == std::string::npos)
+ if (term.find("E")==std::string::npos)
term += "E0";
// E to lower case
term = term.replace(term.find("E"),1,"e");
// append _<Digits> to term
-#if defined(HAVE_SSTREAM)
- std::ostringstream buf;
- buf << unsigned(Digits) << std::ends;
- term += "_" + buf.str();
-#else
- char buf[14];
- std::ostrstream(buf,sizeof(buf)) << unsigned(Digits) << std::ends;
- term += "_" + std::string(buf);
-#endif
+ term += "_" + ToString((unsigned)Digits);
// construct float using cln::cl_F(const char *) ctor.
if (imaginary)
ctorval = ctorval + cln::complex(cln::cl_I(0),cln::cl_F(term.c_str()));
else
ctorval = ctorval + cln::cl_F(term.c_str());
} else {
- // not a floating point number...
+ // this is not a floating point number...
if (imaginary)
ctorval = ctorval + cln::complex(cln::cl_I(0),cln::cl_R(term.c_str()));
else
ctorval = ctorval + cln::cl_R(term.c_str());
}
- } while(delim != std::string::npos);
+ } while (delim != std::string::npos);
value = ctorval;
setflag(status_flags::evaluated | status_flags::expanded);
}
* only. */
numeric::numeric(const cln::cl_N &z) : basic(TINFO_numeric)
{
- debugmsg("numeric ctor from cl_N", LOGLEVEL_CONSTRUCT);
value = z;
setflag(status_flags::evaluated | status_flags::expanded);
}
numeric::numeric(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
{
- debugmsg("numeric ctor from archive_node", LOGLEVEL_CONSTRUCT);
cln::cl_N ctorval = 0;
// Read number as string
std::string str;
if (n.find_string("number", str)) {
-#ifdef HAVE_SSTREAM
std::istringstream s(str);
-#else
- std::istrstream s(str.c_str(), str.size() + 1);
-#endif
cln::cl_idecoded_float re, im;
char c;
s.get(c);
inherited::archive(n);
// Write number as string
-#ifdef HAVE_SSTREAM
std::ostringstream s;
-#else
- char buf[1024];
- std::ostrstream s(buf, 1024);
-#endif
if (this->is_crational())
s << cln::the<cln::cl_N>(value);
else {
s << im.sign << " " << im.mantissa << " " << im.exponent;
}
}
-#ifdef HAVE_SSTREAM
n.add_string("number", s.str());
-#else
- s << ends;
- std::string str(buf);
- n.add_string("number", str);
-#endif
}
DEFAULT_UNARCHIVE(numeric)
* @see print_real_number() */
void numeric::print(const print_context & c, unsigned level) const
{
- debugmsg("numeric print", LOGLEVEL_PRINT);
-
if (is_a<print_tree>(c)) {
c.s << std::string(level, ' ') << cln::the<cln::cl_N>(value)
std::ios::fmtflags oldflags = c.s.flags();
c.s.setf(std::ios::scientific);
+ int oldprec = c.s.precision();
+ if (is_a<print_csrc_double>(c))
+ c.s.precision(16);
+ else
+ c.s.precision(7);
if (this->is_rational() && !this->is_integer()) {
- if (compare(_num0()) > 0) {
+ if (compare(_num0) > 0) {
c.s << "(";
if (is_a<print_csrc_cl_N>(c))
c.s << "cln::cl_F(\"" << numer().evalf() << "\")";
c.s << to_double();
}
c.s.flags(oldflags);
+ c.s.precision(oldprec);
} else {
const std::string par_open = is_a<print_latex>(c) ? "{(" : "(";
const std::string mul_sym = is_a<print_latex>(c) ? " " : "*";
const cln::cl_R r = cln::realpart(cln::the<cln::cl_N>(value));
const cln::cl_R i = cln::imagpart(cln::the<cln::cl_N>(value));
+ if (is_a<print_python_repr>(c))
+ c.s << class_name() << "('";
if (cln::zerop(i)) {
// case 1, real: x or -x
if ((precedence() <= level) && (!this->is_nonneg_integer())) {
} else {
if (cln::zerop(r)) {
// case 2, imaginary: y*I or -y*I
- if ((precedence() <= level) && (i < 0)) {
- if (i == -1) {
- c.s << par_open+imag_sym+par_close;
- } else {
+ if (i==1)
+ c.s << imag_sym;
+ else {
+ if (precedence()<=level)
c.s << par_open;
+ if (i == -1)
+ c.s << "-" << imag_sym;
+ else {
print_real_number(c, i);
- c.s << mul_sym+imag_sym+par_close;
- }
- } else {
- if (i == 1) {
- c.s << imag_sym;
- } else {
- if (i == -1) {
- c.s << "-" << imag_sym;
- } else {
- print_real_number(c, i);
- c.s << mul_sym+imag_sym;
- }
+ c.s << mul_sym+imag_sym;
}
+ if (precedence()<=level)
+ c.s << par_close;
}
} else {
// case 3, complex: x+y*I or x-y*I or -x+y*I or -x-y*I
c.s << par_close;
}
}
+ if (is_a<print_python_repr>(c))
+ c.s << "')";
}
}
return false;
}
+int numeric::degree(const ex & s) const
+{
+ return 0;
+}
+
+int numeric::ldegree(const ex & s) const
+{
+ return 0;
+}
+
+ex numeric::coeff(const ex & s, int n) const
+{
+ return n==0 ? *this : _ex0;
+}
+
/** Disassemble real part and imaginary part to scan for the occurrence of a
* single number. Also handles the imaginary unit. It ignores the sign on
* both this and the argument, which may lead to what might appear as funny
int numeric::compare_same_type(const basic &other) const
{
- GINAC_ASSERT(is_exactly_of_type(other, numeric));
+ GINAC_ASSERT(is_exactly_a<numeric>(other));
const numeric &o = static_cast<const numeric &>(other);
return this->compare(o);
bool numeric::is_equal_same_type(const basic &other) const
{
- GINAC_ASSERT(is_exactly_of_type(other,numeric));
+ GINAC_ASSERT(is_exactly_a<numeric>(other));
const numeric &o = static_cast<const numeric &>(other);
return this->is_equal(o);
const numeric numeric::add(const numeric &other) const
{
// Efficiency shortcut: trap the neutral element by pointer.
- static const numeric * _num0p = &_num0();
- if (this==_num0p)
+ if (this==_num0_p)
return other;
- else if (&other==_num0p)
+ else if (&other==_num0_p)
return *this;
return numeric(cln::the<cln::cl_N>(value)+cln::the<cln::cl_N>(other.value));
const numeric numeric::mul(const numeric &other) const
{
// Efficiency shortcut: trap the neutral element by pointer.
- static const numeric * _num1p = &_num1();
- if (this==_num1p)
+ if (this==_num1_p)
return other;
- else if (&other==_num1p)
+ else if (&other==_num1_p)
return *this;
return numeric(cln::the<cln::cl_N>(value)*cln::the<cln::cl_N>(other.value));
const numeric numeric::power(const numeric &other) const
{
// Efficiency shortcut: trap the neutral exponent by pointer.
- static const numeric * _num1p = &_num1();
- if (&other==_num1p)
+ if (&other==_num1_p)
return *this;
if (cln::zerop(cln::the<cln::cl_N>(value))) {
else if (cln::minusp(cln::realpart(cln::the<cln::cl_N>(other.value))))
throw std::overflow_error("numeric::eval(): division by zero");
else
- return _num0();
+ return _num0;
}
return numeric(cln::expt(cln::the<cln::cl_N>(value),cln::the<cln::cl_N>(other.value)));
}
const numeric &numeric::add_dyn(const numeric &other) const
{
// Efficiency shortcut: trap the neutral element by pointer.
- static const numeric * _num0p = &_num0();
- if (this==_num0p)
+ if (this==_num0_p)
return other;
- else if (&other==_num0p)
+ else if (&other==_num0_p)
return *this;
return static_cast<const numeric &>((new numeric(cln::the<cln::cl_N>(value)+cln::the<cln::cl_N>(other.value)))->
const numeric &numeric::mul_dyn(const numeric &other) const
{
// Efficiency shortcut: trap the neutral element by pointer.
- static const numeric * _num1p = &_num1();
- if (this==_num1p)
+ if (this==_num1_p)
return other;
- else if (&other==_num1p)
+ else if (&other==_num1_p)
return *this;
return static_cast<const numeric &>((new numeric(cln::the<cln::cl_N>(value)*cln::the<cln::cl_N>(other.value)))->
const numeric &numeric::power_dyn(const numeric &other) const
{
// Efficiency shortcut: trap the neutral exponent by pointer.
- static const numeric * _num1p=&_num1();
- if (&other==_num1p)
+ if (&other==_num1_p)
return *this;
if (cln::zerop(cln::the<cln::cl_N>(value))) {
else if (cln::minusp(cln::realpart(cln::the<cln::cl_N>(other.value))))
throw std::overflow_error("numeric::eval(): division by zero");
else
- return _num0();
+ return _num0;
}
return static_cast<const numeric &>((new numeric(cln::expt(cln::the<cln::cl_N>(value),cln::the<cln::cl_N>(other.value))))->
setflag(status_flags::dynallocated));
const numeric numeric::denom(void) const
{
if (this->is_integer())
- return _num1();
+ return _num1;
if (cln::instanceof(value, cln::cl_RA_ring))
return numeric(cln::denominator(cln::the<cln::cl_RA>(value)));
const cln::cl_RA r = cln::the<cln::cl_RA>(cln::realpart(cln::the<cln::cl_N>(value)));
const cln::cl_RA i = cln::the<cln::cl_RA>(cln::imagpart(cln::the<cln::cl_N>(value)));
if (cln::instanceof(r, cln::cl_I_ring) && cln::instanceof(i, cln::cl_I_ring))
- return _num1();
+ return _num1;
if (cln::instanceof(r, cln::cl_I_ring) && cln::instanceof(i, cln::cl_RA_ring))
return numeric(cln::denominator(i));
if (cln::instanceof(r, cln::cl_RA_ring) && cln::instanceof(i, cln::cl_I_ring))
return numeric(cln::lcm(cln::denominator(r), cln::denominator(i)));
}
// at least one float encountered
- return _num1();
+ return _num1;
}
{
if (!x.is_real() &&
x.real().is_zero() &&
- abs(x.imag()).is_equal(_num1()))
+ abs(x.imag()).is_equal(_num1))
throw pole_error("atan(): logarithmic pole",0);
return cln::atan(x.to_cl_N());
}
const numeric Li2(const numeric &x)
{
if (x.is_zero())
- return _num0();
+ return _num0;
// what is the desired float format?
// first guess: default format
* @exception range_error (argument must be integer >= -1) */
const numeric doublefactorial(const numeric &n)
{
- if (n.is_equal(_num_1()))
- return _num1();
+ if (n.is_equal(_num_1))
+ return _num1;
if (!n.is_nonneg_integer())
throw std::range_error("numeric::doublefactorial(): argument must be integer >= -1");
{
if (n.is_integer() && k.is_integer()) {
if (n.is_nonneg_integer()) {
- if (k.compare(n)!=1 && k.compare(_num0())!=-1)
+ if (k.compare(n)!=1 && k.compare(_num0)!=-1)
return numeric(cln::binomial(n.to_int(),k.to_int()));
else
- return _num0();
+ return _num0;
} else {
- return _num_1().power(k)*binomial(k-n-_num1(),k);
+ return _num_1.power(k)*binomial(k-n-_num1,k);
}
}
{
if (!nn.is_integer() || nn.is_negative())
throw std::range_error("numeric::bernoulli(): argument must be integer >= 0");
-
+
// Method:
//
// The Bernoulli numbers are rational numbers that may be computed using
// But if somebody works with the n'th Bernoulli number she is likely to
// also need all previous Bernoulli numbers. So we need a complete remember
// table and above divide and conquer algorithm is not suited to build one
- // up. The code below is adapted from Pari's function bernvec().
+ // up. The formula below accomplishes this. It is a modification of the
+ // defining formula above but the computation of the binomial coefficients
+ // is carried along in an inline fashion. It also honors the fact that
+ // B_n is zero when n is odd and greater than 1.
//
// (There is an interesting relation with the tangent polynomials described
- // in `Concrete Mathematics', which leads to a program twice as fast as our
- // implementation below, but it requires storing one such polynomial in
+ // in `Concrete Mathematics', which leads to a program a little faster as
+ // our implementation below, but it requires storing one such polynomial in
// addition to the remember table. This doubles the memory footprint so
// we don't use it.)
-
+
+ const unsigned n = nn.to_int();
+
// the special cases not covered by the algorithm below
- if (nn.is_equal(_num1()))
- return _num_1_2();
- if (nn.is_odd())
- return _num0();
-
+ if (n & 1)
+ return (n==1) ? _num_1_2 : _num0;
+ if (!n)
+ return _num1;
+
// store nonvanishing Bernoulli numbers here
static std::vector< cln::cl_RA > results;
- static int highest_result = 0;
- // algorithm not applicable to B(0), so just store it
- if (results.empty())
- results.push_back(cln::cl_RA(1));
-
- int n = nn.to_long();
- for (int i=highest_result; i<n/2; ++i) {
- cln::cl_RA B = 0;
- long n = 8;
- long m = 5;
- long d1 = i;
- long d2 = 2*i-1;
- for (int j=i; j>0; --j) {
- B = cln::cl_I(n*m) * (B+results[j]) / (d1*d2);
- n += 4;
- m += 2;
- d1 -= 1;
- d2 -= 2;
- }
- B = (1 - ((B+1)/(2*i+3))) / (cln::cl_I(1)<<(2*i+2));
- results.push_back(B);
- ++highest_result;
+ static unsigned next_r = 0;
+
+ // algorithm not applicable to B(2), so just store it
+ if (!next_r) {
+ results.push_back(cln::recip(cln::cl_RA(6)));
+ next_r = 4;
}
- return results[n/2];
+ if (n<next_r)
+ return results[n/2-1];
+
+ results.reserve(n/2);
+ for (unsigned p=next_r; p<=n; p+=2) {
+ cln::cl_I c = 1; // seed for binonmial coefficients
+ cln::cl_RA b = cln::cl_RA(1-p)/2;
+ const unsigned p3 = p+3;
+ const unsigned pm = p-2;
+ unsigned i, k, p_2;
+ // test if intermediate unsigned int can be represented by immediate
+ // objects by CLN (i.e. < 2^29 for 32 Bit machines, see <cln/object.h>)
+ if (p < (1UL<<cl_value_len/2)) {
+ for (i=2, k=1, p_2=p/2; i<=pm; i+=2, ++k, --p_2) {
+ c = cln::exquo(c * ((p3-i) * p_2), (i-1)*k);
+ b = b + c*results[k-1];
+ }
+ } else {
+ for (i=2, k=1, p_2=p/2; i<=pm; i+=2, ++k, --p_2) {
+ c = cln::exquo((c * (p3-i)) * p_2, cln::cl_I(i-1)*k);
+ b = b + c*results[k-1];
+ }
+ }
+ results.push_back(-b/(p+1));
+ }
+ next_r = n+2;
+ return results[n/2-1];
}
// hence
// F(2n+2) = F(n+1)*(2*F(n) + F(n+1))
if (n.is_zero())
- return _num0();
+ return _num0;
if (n.is_negative())
if (n.is_even())
return -fibonacci(-n);
return cln::mod(cln::the<cln::cl_I>(a.to_cl_N()),
cln::the<cln::cl_I>(b.to_cl_N()));
else
- return _num0();
+ return _num0;
}
return cln::mod(cln::the<cln::cl_I>(a.to_cl_N()) + b2,
cln::the<cln::cl_I>(b.to_cl_N())) - b2;
} else
- return _num0();
+ return _num0;
}
* In general, mod(a,b) has the sign of b or is zero, and irem(a,b) has the
* sign of a or is zero.
*
- * @return remainder of a/b if both are integer, 0 otherwise. */
+ * @return remainder of a/b if both are integer, 0 otherwise.
+ * @exception overflow_error (division by zero) if b is zero. */
const numeric irem(const numeric &a, const numeric &b)
{
+ if (b.is_zero())
+ throw std::overflow_error("numeric::irem(): division by zero");
if (a.is_integer() && b.is_integer())
return cln::rem(cln::the<cln::cl_I>(a.to_cl_N()),
cln::the<cln::cl_I>(b.to_cl_N()));
else
- return _num0();
+ return _num0;
}
* and irem(a,b) has the sign of a or is zero.
*
* @return remainder of a/b and quotient stored in q if both are integer,
- * 0 otherwise. */
+ * 0 otherwise.
+ * @exception overflow_error (division by zero) if b is zero. */
const numeric irem(const numeric &a, const numeric &b, numeric &q)
{
+ if (b.is_zero())
+ throw std::overflow_error("numeric::irem(): division by zero");
if (a.is_integer() && b.is_integer()) {
const cln::cl_I_div_t rem_quo = cln::truncate2(cln::the<cln::cl_I>(a.to_cl_N()),
cln::the<cln::cl_I>(b.to_cl_N()));
q = rem_quo.quotient;
return rem_quo.remainder;
} else {
- q = _num0();
- return _num0();
+ q = _num0;
+ return _num0;
}
}
/** Numeric integer quotient.
* Equivalent to Maple's iquo as far as sign conventions are concerned.
*
- * @return truncated quotient of a/b if both are integer, 0 otherwise. */
+ * @return truncated quotient of a/b if both are integer, 0 otherwise.
+ * @exception overflow_error (division by zero) if b is zero. */
const numeric iquo(const numeric &a, const numeric &b)
{
+ if (b.is_zero())
+ throw std::overflow_error("numeric::iquo(): division by zero");
if (a.is_integer() && b.is_integer())
return cln::truncate1(cln::the<cln::cl_I>(a.to_cl_N()),
cln::the<cln::cl_I>(b.to_cl_N()));
else
- return _num0();
+ return _num0;
}
* r == a - iquo(a,b,r)*b.
*
* @return truncated quotient of a/b and remainder stored in r if both are
- * integer, 0 otherwise. */
+ * integer, 0 otherwise.
+ * @exception overflow_error (division by zero) if b is zero. */
const numeric iquo(const numeric &a, const numeric &b, numeric &r)
{
+ if (b.is_zero())
+ throw std::overflow_error("numeric::iquo(): division by zero");
if (a.is_integer() && b.is_integer()) {
const cln::cl_I_div_t rem_quo = cln::truncate2(cln::the<cln::cl_I>(a.to_cl_N()),
cln::the<cln::cl_I>(b.to_cl_N()));
r = rem_quo.remainder;
return rem_quo.quotient;
} else {
- r = _num0();
- return _num0();
+ r = _num0;
+ return _num0;
}
}
return cln::gcd(cln::the<cln::cl_I>(a.to_cl_N()),
cln::the<cln::cl_I>(b.to_cl_N()));
else
- return _num1();
+ return _num1;
}
cln::isqrt(cln::the<cln::cl_I>(x.to_cl_N()), &root);
return root;
} else
- return _num0();
+ return _num0;
}
/** Append global Digits object to ostream. */
void _numeric_digits::print(std::ostream &os) const
{
- debugmsg("_numeric_digits print", LOGLEVEL_PRINT);
os << digits;
}
git://www.ginac.de / ginac.git / blobdiff