#include "numeric.h"
#include "ex.h"
+#include "print.h"
#include "archive.h"
#include "debugmsg.h"
#include "utils.h"
// operator and helpers
//////////
-// public
-
/** default ctor. Numerically it initializes to an integer zero. */
numeric::numeric() : basic(TINFO_numeric)
{
setflag(status_flags::evaluated | status_flags::expanded);
}
-// protected
-
-/** For use by copy ctor and assignment operator. */
void numeric::copy(const numeric &other)
{
inherited::copy(other);
value = other.value;
}
-void numeric::destroy(bool call_parent)
-{
- if (call_parent) inherited::destroy(call_parent);
-}
+DEFAULT_DESTROY(numeric)
//////////
// other ctors
#else
char buf[14];
std::ostrstream(buf,sizeof(buf)) << unsigned(Digits) << std::ends;
- term += "_" + string(buf);
+ term += "_" + std::string(buf);
#endif
// construct float using cln::cl_F(const char *) ctor.
if (imaginary)
// archiving
//////////
-/** Construct object from archive_node. */
numeric::numeric(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
{
debugmsg("numeric ctor from archive_node", LOGLEVEL_CONSTRUCT);
setflag(status_flags::evaluated | status_flags::expanded);
}
-/** Unarchive the object. */
-ex numeric::unarchive(const archive_node &n, const lst &sym_lst)
-{
- return (new numeric(n, sym_lst))->setflag(status_flags::dynallocated);
-}
-
-/** Archive the object. */
void numeric::archive(archive_node &n) const
{
inherited::archive(n);
#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
* with the other routines and produces something compatible to ginsh input.
*
* @see print_real_number() */
-void numeric::print(std::ostream &os, unsigned upper_precedence) const
+void numeric::print(const print_context & c, unsigned level) const
{
debugmsg("numeric print", LOGLEVEL_PRINT);
- cln::cl_R r = cln::realpart(cln::the<cln::cl_N>(value));
- cln::cl_R i = cln::imagpart(cln::the<cln::cl_N>(value));
- if (cln::zerop(i)) {
- // case 1, real: x or -x
- if ((precedence<=upper_precedence) && (!this->is_nonneg_integer())) {
- os << "(";
- print_real_number(os, r);
- os << ")";
+
+ if (is_a<print_tree>(c)) {
+
+ c.s << std::string(level, ' ') << cln::the<cln::cl_N>(value)
+ << " (" << class_name() << ")"
+ << std::hex << ", hash=0x" << hashvalue << ", flags=0x" << flags << std::dec
+ << std::endl;
+
+ } else if (is_a<print_csrc>(c)) {
+
+ std::ios::fmtflags oldflags = c.s.flags();
+ c.s.setf(std::ios::scientific);
+ if (this->is_rational() && !this->is_integer()) {
+ if (compare(_num0()) > 0) {
+ c.s << "(";
+ if (is_a<print_csrc_cl_N>(c))
+ c.s << "cln::cl_F(\"" << numer().evalf() << "\")";
+ else
+ c.s << numer().to_double();
+ } else {
+ c.s << "-(";
+ if (is_a<print_csrc_cl_N>(c))
+ c.s << "cln::cl_F(\"" << -numer().evalf() << "\")";
+ else
+ c.s << -numer().to_double();
+ }
+ c.s << "/";
+ if (is_a<print_csrc_cl_N>(c))
+ c.s << "cln::cl_F(\"" << denom().evalf() << "\")";
+ else
+ c.s << denom().to_double();
+ c.s << ")";
} else {
- print_real_number(os, r);
+ if (is_a<print_csrc_cl_N>(c))
+ c.s << "cln::cl_F(\"" << evalf() << "\")";
+ else
+ c.s << to_double();
}
+ c.s.flags(oldflags);
+
} else {
- if (cln::zerop(r)) {
- // case 2, imaginary: y*I or -y*I
- if ((precedence<=upper_precedence) && (i < 0)) {
- if (i == -1) {
- os << "(-I)";
- } else {
- os << "(";
- print_real_number(os, i);
- os << "*I)";
- }
+ const std::string par_open = is_a<print_latex>(c) ? "{(" : "(";
+ const std::string par_close = is_a<print_latex>(c) ? ")}" : ")";
+ const std::string imag_sym = is_a<print_latex>(c) ? "i" : "I";
+ 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 (cln::zerop(i)) {
+ // case 1, real: x or -x
+ if ((precedence() <= level) && (!this->is_nonneg_integer())) {
+ c.s << par_open;
+ print_real_number(c, r);
+ c.s << par_close;
} else {
- if (i == 1) {
- os << "I";
- } else {
+ print_real_number(c, r);
+ }
+ } else {
+ if (cln::zerop(r)) {
+ // case 2, imaginary: y*I or -y*I
+ if ((precedence() <= level) && (i < 0)) {
if (i == -1) {
- os << "-I";
+ c.s << par_open+imag_sym+par_close;
} else {
- print_real_number(os, i);
- os << "*I";
+ c.s << par_open;
+ print_real_number(c, i);
+ c.s << mul_sym+imag_sym+par_close;
}
- }
- }
- } else {
- // case 3, complex: x+y*I or x-y*I or -x+y*I or -x-y*I
- if (precedence <= upper_precedence)
- os << "(";
- print_real_number(os, r);
- if (i < 0) {
- if (i == -1) {
- os << "-I";
} else {
- print_real_number(os, i);
- os << "*I";
+ 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;
+ }
+ }
}
} else {
- if (i == 1) {
- os << "+I";
+ // 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, r);
+ if (i < 0) {
+ if (i == -1) {
+ c.s << "-"+imag_sym;
+ } else {
+ print_real_number(c, i);
+ c.s << mul_sym+imag_sym;
+ }
} else {
- os << "+";
- print_real_number(os, i);
- os << "*I";
+ if (i == 1) {
+ c.s << "+"+imag_sym;
+ } else {
+ c.s << "+";
+ print_real_number(c, i);
+ c.s << mul_sym+imag_sym;
+ }
}
+ if (precedence() <= level)
+ c.s << par_close;
}
- if (precedence <= upper_precedence)
- os << ")";
}
}
}
-
-void numeric::printraw(std::ostream &os) const
-{
- // The method printraw doesn't do much, it simply uses CLN's operator<<()
- // for output, which is ugly but reliable. e.g: 2+2i
- debugmsg("numeric printraw", LOGLEVEL_PRINT);
- os << class_name() << "(" << cln::the<cln::cl_N>(value) << ")";
-}
-
-
-void numeric::printtree(std::ostream &os, unsigned indent) const
-{
- debugmsg("numeric printtree", LOGLEVEL_PRINT);
- os << std::string(indent,' ') << cln::the<cln::cl_N>(value)
- << " (numeric): "
- << "hash=" << hashvalue
- << " (0x" << std::hex << hashvalue << std::dec << ")"
- << ", flags=" << flags << std::endl;
-}
-
-
-void numeric::printcsrc(std::ostream &os, unsigned type, unsigned upper_precedence) const
-{
- debugmsg("numeric print csrc", LOGLEVEL_PRINT);
- std::ios::fmtflags oldflags = os.flags();
- os.setf(std::ios::scientific);
- if (this->is_rational() && !this->is_integer()) {
- if (compare(_num0()) > 0) {
- os << "(";
- if (type == csrc_types::ctype_cl_N)
- os << "cln::cl_F(\"" << numer().evalf() << "\")";
- else
- os << numer().to_double();
- } else {
- os << "-(";
- if (type == csrc_types::ctype_cl_N)
- os << "cln::cl_F(\"" << -numer().evalf() << "\")";
- else
- os << -numer().to_double();
- }
- os << "/";
- if (type == csrc_types::ctype_cl_N)
- os << "cln::cl_F(\"" << denom().evalf() << "\")";
- else
- os << denom().to_double();
- os << ")";
- } else {
- if (type == csrc_types::ctype_cl_N)
- os << "cln::cl_F(\"" << evalf() << "\")";
- else
- os << to_double();
- }
- os.flags(oldflags);
-}
-
-
bool numeric::info(unsigned inf) const
{
switch (inf) {
{
if (!is_exactly_of_type(*other.bp, numeric))
return false;
- const numeric &o = static_cast<numeric &>(const_cast<basic &>(*other.bp));
+ const numeric &o = static_cast<const numeric &>(*other.bp);
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));
- const numeric &o = static_cast<numeric &>(const_cast<basic &>(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));
- const numeric *o = static_cast<const numeric *>(&other);
+ const numeric &o = static_cast<const numeric &>(other);
- return this->is_equal(*o);
+ return this->is_equal(o);
}
bool numeric::operator==(const numeric &other) const
{
- return equal(cln::the<cln::cl_N>(value), cln::the<cln::cl_N>(other.value));
+ return cln::equal(cln::the<cln::cl_N>(value), cln::the<cln::cl_N>(other.value));
}
bool numeric::operator!=(const numeric &other) const
{
- return !equal(cln::the<cln::cl_N>(value), cln::the<cln::cl_N>(other.value));
+ return !cln::equal(cln::the<cln::cl_N>(value), cln::the<cln::cl_N>(other.value));
}
if (this->is_integer())
return _num1();
- if (instanceof(value, cln::cl_RA_ring))
+ if (cln::instanceof(value, cln::cl_RA_ring))
return numeric(cln::denominator(cln::the<cln::cl_RA>(value)));
if (!this->is_real()) { // complex case, handle Q(i):
return 0;
}
-
-//////////
-// static member variables
-//////////
-
-// protected
-
-unsigned numeric::precedence = 30;
-
//////////
// global constants
//////////
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();
const numeric iquo(const numeric &a, const numeric &b)
{
if (a.is_integer() && b.is_integer())
- return truncate1(cln::the<cln::cl_I>(a.to_cl_N()),
- cln::the<cln::cl_I>(b.to_cl_N()));
+ return cln::truncate1(cln::the<cln::cl_I>(a.to_cl_N()),
+ cln::the<cln::cl_I>(b.to_cl_N()));
else
return _num0();
}
git://www.ginac.de / ginac.git / blobdiff