#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
// 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()));
// 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)
//////////
-// functions overriding virtual functions from bases classes
+// functions overriding virtual functions from base classes
//////////
/** Helper function to print a real number in a nicer way than is CLN's
* want to visibly distinguish from cl_LF.
*
* @see numeric::print() */
-static void print_real_number(std::ostream &os, const cln::cl_R &num)
+static void print_real_number(const print_context & c, const cln::cl_R &x)
{
cln::cl_print_flags ourflags;
- if (cln::instanceof(num, cln::cl_RA_ring)) {
- // case 1: integer or rational, nothing special to do:
- cln::print_real(os, ourflags, num);
+ if (cln::instanceof(x, cln::cl_RA_ring)) {
+ // case 1: integer or rational
+ if (cln::instanceof(x, cln::cl_I_ring) ||
+ !is_a<print_latex>(c)) {
+ cln::print_real(c.s, ourflags, x);
+ } else { // rational output in LaTeX context
+ c.s << "\\frac{";
+ cln::print_real(c.s, ourflags, cln::numerator(cln::the<cln::cl_RA>(x)));
+ c.s << "}{";
+ cln::print_real(c.s, ourflags, cln::denominator(cln::the<cln::cl_RA>(x)));
+ c.s << '}';
+ }
} else {
// case 2: float
// make CLN believe this number has default_float_format, so it prints
// 'E' as exponent marker instead of 'L':
- ourflags.default_float_format = cln::float_format(cln::the<cln::cl_F>(num));
- cln::print_real(os, ourflags, num);
+ ourflags.default_float_format = cln::float_format(cln::the<cln::cl_F>(x));
+ cln::print_real(c.s, ourflags, x);
}
- return;
}
/** This method adds to the output so it blends more consistently together
std::ios::fmtflags oldflags = c.s.flags();
c.s.setf(std::ios::scientific);
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() << "\")";
// case 1, real: x or -x
if ((precedence() <= level) && (!this->is_nonneg_integer())) {
c.s << par_open;
- print_real_number(c.s, r);
+ print_real_number(c, r);
c.s << par_close;
} else {
- print_real_number(c.s, r);
+ print_real_number(c, r);
}
} else {
if (cln::zerop(r)) {
c.s << par_open+imag_sym+par_close;
} else {
c.s << par_open;
- print_real_number(c.s, i);
+ print_real_number(c, i);
c.s << mul_sym+imag_sym+par_close;
}
} else {
if (i == -1) {
c.s << "-" << imag_sym;
} else {
- print_real_number(c.s, i);
+ print_real_number(c, i);
c.s << mul_sym+imag_sym;
}
}
// case 3, complex: x+y*I or x-y*I or -x+y*I or -x-y*I
if (precedence() <= level)
c.s << par_open;
- print_real_number(c.s, r);
+ print_real_number(c, r);
if (i < 0) {
if (i == -1) {
c.s << "-"+imag_sym;
} else {
- print_real_number(c.s, i);
+ print_real_number(c, i);
c.s << mul_sym+imag_sym;
}
} else {
c.s << "+"+imag_sym;
} else {
c.s << "+";
- print_real_number(c.s, i);
+ print_real_number(c, i);
c.s << mul_sym+imag_sym;
}
}
* sign as a multiplicative factor. */
bool numeric::has(const ex &other) const
{
- if (!is_exactly_of_type(*other.bp, numeric))
+ if (!is_ex_exactly_of_type(other, numeric))
return false;
- const numeric &o = static_cast<const numeric &>(*other.bp);
+ const numeric &o = ex_to<numeric>(other);
if (this->is_equal(o) || this->is_equal(-o))
return true;
if (o.imag().is_zero()) // e.g. scan for 3 in -3*I
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
if (cln::zerop(x.to_cl_N()-aux))
return cln::zeta(aux);
}
- std::clog << "zeta(" << x
- << "): Does anybody know a good way to calculate this numerically?"
- << std::endl;
- return numeric(0);
+ throw dunno();
}
* This is only a stub! */
const numeric lgamma(const numeric &x)
{
- std::clog << "lgamma(" << x
- << "): Does anybody know a good way to calculate this numerically?"
- << std::endl;
- return numeric(0);
+ throw dunno();
}
const numeric tgamma(const numeric &x)
{
- std::clog << "tgamma(" << x
- << "): Does anybody know a good way to calculate this numerically?"
- << std::endl;
- return numeric(0);
+ throw dunno();
}
* This is only a stub! */
const numeric psi(const numeric &x)
{
- std::clog << "psi(" << x
- << "): Does anybody know a good way to calculate this numerically?"
- << std::endl;
- return numeric(0);
+ throw dunno();
}
* This is only a stub! */
const numeric psi(const numeric &n, const numeric &x)
{
- std::clog << "psi(" << n << "," << x
- << "): Does anybody know a good way to calculate this numerically?"
- << std::endl;
- return numeric(0);
+ throw dunno();
}
* @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);
}
}
// we don't use it.)
// the special cases not covered by the algorithm below
- if (nn.is_equal(_num1()))
- return _num_1_2();
+ if (nn.is_equal(_num1))
+ return _num_1_2;
if (nn.is_odd())
- return _num0();
+ return _num0;
// 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.size()==0)
+ if (results.empty())
results.push_back(cln::cl_RA(1));
int n = nn.to_long();
// 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;
}
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;
}
q = rem_quo.quotient;
return rem_quo.remainder;
} else {
- q = _num0();
- return _num0();
+ q = _num0;
+ return _num0;
}
}
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 = 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;
}
git://www.ginac.de / ginac.git / blobdiff