#include "inifcns.h"
#include "relational.h"
#include "symbol.h"
+#include "print.h"
#include "archive.h"
#include "debugmsg.h"
#include "utils.h"
// default ctor, dtor, copy ctor assignment operator and helpers
//////////
-// public
-
power::power() : basic(TINFO_power)
{
debugmsg("power default ctor",LOGLEVEL_CONSTRUCT);
}
-// protected
-
void power::copy(const power & other)
{
inherited::copy(other);
exponent = other.exponent;
}
-void power::destroy(bool call_parent)
-{
- if (call_parent) inherited::destroy(call_parent);
-}
+DEFAULT_DESTROY(power)
//////////
// other ctors
//////////
-// public
-
power::power(const ex & lh, const ex & rh) : basic(TINFO_power), basis(lh), exponent(rh)
{
debugmsg("power ctor from ex,ex",LOGLEVEL_CONSTRUCT);
GINAC_ASSERT(basis.return_type()==return_types::commutative);
}
+/** Ctor from an ex and a bare numeric. This is somewhat more efficient than
+ * the normal ctor from two ex whenever it can be used. */
power::power(const ex & lh, const numeric & rh) : basic(TINFO_power), basis(lh), exponent(rh)
{
debugmsg("power ctor from ex,numeric",LOGLEVEL_CONSTRUCT);
// archiving
//////////
-/** Construct object from archive_node. */
power::power(const archive_node &n, const lst &sym_lst) : inherited(n, sym_lst)
{
debugmsg("power ctor from archive_node", LOGLEVEL_CONSTRUCT);
n.find_ex("exponent", exponent, sym_lst);
}
-/** Unarchive the object. */
-ex power::unarchive(const archive_node &n, const lst &sym_lst)
-{
- return (new power(n, sym_lst))->setflag(status_flags::dynallocated);
-}
-
-/** Archive the object. */
void power::archive(archive_node &n) const
{
inherited::archive(n);
n.add_ex("exponent", exponent);
}
+DEFAULT_UNARCHIVE(power)
+
//////////
// functions overriding virtual functions from bases classes
//////////
// public
-void power::print(std::ostream & os, unsigned upper_precedence) const
-{
- debugmsg("power print",LOGLEVEL_PRINT);
- if (exponent.is_equal(_ex1_2())) {
- os << "sqrt(" << basis << ")";
- } else {
- if (precedence<=upper_precedence) os << "(";
- basis.print(os,precedence);
- os << "^";
- exponent.print(os,precedence);
- if (precedence<=upper_precedence) os << ")";
- }
-}
-
-void power::printraw(std::ostream & os) const
-{
- debugmsg("power printraw",LOGLEVEL_PRINT);
-
- os << class_name() << "(";
- basis.printraw(os);
- os << ",";
- exponent.printraw(os);
- os << ",hash=" << hashvalue << ",flags=" << flags << ")";
-}
-
-void power::printtree(std::ostream & os, unsigned indent) const
-{
- debugmsg("power printtree",LOGLEVEL_PRINT);
-
- os << std::string(indent,' ') << class_name()
- << ", hash=" << hashvalue
- << " (0x" << std::hex << hashvalue << std::dec << ")"
- << ", flags=" << flags << std::endl;
- basis.printtree(os, indent+delta_indent);
- exponent.printtree(os, indent+delta_indent);
-}
-
-static void print_sym_pow(std::ostream & os, unsigned type, const symbol &x, int exp)
+static void print_sym_pow(const print_context & c, const symbol &x, int exp)
{
// Optimal output of integer powers of symbols to aid compiler CSE.
// C.f. ISO/IEC 14882:1998, section 1.9 [intro execution], paragraph 15
// to learn why such a hack is really necessary.
if (exp == 1) {
- x.printcsrc(os, type, 0);
+ x.print(c);
} else if (exp == 2) {
- x.printcsrc(os, type, 0);
- os << "*";
- x.printcsrc(os, type, 0);
+ x.print(c);
+ c.s << "*";
+ x.print(c);
} else if (exp & 1) {
- x.printcsrc(os, 0);
- os << "*";
- print_sym_pow(os, type, x, exp-1);
+ x.print(c);
+ c.s << "*";
+ print_sym_pow(c, x, exp-1);
} else {
- os << "(";
- print_sym_pow(os, type, x, exp >> 1);
- os << ")*(";
- print_sym_pow(os, type, x, exp >> 1);
- os << ")";
+ c.s << "(";
+ print_sym_pow(c, x, exp >> 1);
+ c.s << ")*(";
+ print_sym_pow(c, x, exp >> 1);
+ c.s << ")";
}
}
-void power::printcsrc(std::ostream & os, unsigned type, unsigned upper_precedence) const
+void power::print(const print_context & c, unsigned level) const
{
- debugmsg("power print csrc", LOGLEVEL_PRINT);
-
- // Integer powers of symbols are printed in a special, optimized way
- if (exponent.info(info_flags::integer)
- && (is_ex_exactly_of_type(basis, symbol) || is_ex_exactly_of_type(basis, constant))) {
- int exp = ex_to_numeric(exponent).to_int();
- if (exp > 0)
- os << "(";
- else {
- exp = -exp;
- if (type == csrc_types::ctype_cl_N)
- os << "recip(";
+ debugmsg("power print", LOGLEVEL_PRINT);
+
+ if (is_of_type(c, print_tree)) {
+
+ inherited::print(c, level);
+
+ } else if (is_of_type(c, print_csrc)) {
+
+ // Integer powers of symbols are printed in a special, optimized way
+ if (exponent.info(info_flags::integer)
+ && (is_ex_exactly_of_type(basis, symbol) || is_ex_exactly_of_type(basis, constant))) {
+ int exp = ex_to_numeric(exponent).to_int();
+ if (exp > 0)
+ c.s << '(';
+ else {
+ exp = -exp;
+ if (is_of_type(c, print_csrc_cl_N))
+ c.s << "recip(";
+ else
+ c.s << "1.0/(";
+ }
+ print_sym_pow(c, ex_to_symbol(basis), exp);
+ c.s << ')';
+
+ // <expr>^-1 is printed as "1.0/<expr>" or with the recip() function of CLN
+ } else if (exponent.compare(_num_1()) == 0) {
+ if (is_of_type(c, print_csrc_cl_N))
+ c.s << "recip(";
else
- os << "1.0/(";
- }
- print_sym_pow(os, type, static_cast<const symbol &>(*basis.bp), exp);
- os << ")";
+ c.s << "1.0/(";
+ basis.print(c);
+ c.s << ')';
- // <expr>^-1 is printed as "1.0/<expr>" or with the recip() function of CLN
- } else if (exponent.compare(_num_1()) == 0) {
- if (type == csrc_types::ctype_cl_N)
- os << "recip(";
- else
- os << "1.0/(";
- basis.bp->printcsrc(os, type, 0);
- os << ")";
+ // Otherwise, use the pow() or expt() (CLN) functions
+ } else {
+ if (is_of_type(c, print_csrc_cl_N))
+ c.s << "expt(";
+ else
+ c.s << "pow(";
+ basis.print(c);
+ c.s << ',';
+ exponent.print(c);
+ c.s << ')';
+ }
- // Otherwise, use the pow() or expt() (CLN) functions
} else {
- if (type == csrc_types::ctype_cl_N)
- os << "expt(";
- else
- os << "pow(";
- basis.bp->printcsrc(os, type, 0);
- os << ",";
- exponent.bp->printcsrc(os, type, 0);
- os << ")";
+
+ if (exponent.is_equal(_ex1_2())) {
+ if (is_of_type(c, print_latex))
+ c.s << "\\sqrt{";
+ else
+ c.s << "sqrt(";
+ basis.print(c);
+ if (is_of_type(c, print_latex))
+ c.s << '}';
+ else
+ c.s << ')';
+ } else {
+ if (precedence() <= level) {
+ if (is_of_type(c, print_latex))
+ c.s << "{(";
+ else
+ c.s << "(";
+ }
+ basis.print(c, precedence());
+ c.s << '^';
+ if (is_of_type(c, print_latex))
+ c.s << '{';
+ exponent.print(c, precedence());
+ if (is_of_type(c, print_latex))
+ c.s << '}';
+ if (precedence() <= level) {
+ if (is_of_type(c, print_latex))
+ c.s << ")}";
+ else
+ c.s << ')';
+ }
+ }
}
}
return i==0 ? basis : exponent;
}
-int power::degree(const symbol & s) const
+int power::degree(const ex & s) const
{
if (is_exactly_of_type(*exponent.bp,numeric)) {
- if ((*basis.bp).compare(s)==0) {
+ if (basis.is_equal(s)) {
if (ex_to_numeric(exponent).is_integer())
return ex_to_numeric(exponent).to_int();
else
return 0;
}
-int power::ldegree(const symbol & s) const
+int power::ldegree(const ex & s) const
{
if (is_exactly_of_type(*exponent.bp,numeric)) {
- if ((*basis.bp).compare(s)==0) {
+ if (basis.is_equal(s)) {
if (ex_to_numeric(exponent).is_integer())
return ex_to_numeric(exponent).to_int();
else
return 0;
}
-ex power::coeff(const symbol & s, int n) const
+ex power::coeff(const ex & s, int n) const
{
- if ((*basis.bp).compare(s)!=0) {
+ if (!basis.is_equal(s)) {
// basis not equal to s
if (n == 0)
return *this;
return power(ebasis,eexponent);
}
-ex power::subs(const lst & ls, const lst & lr) const
+ex power::subs(const lst & ls, const lst & lr, bool no_pattern) const
{
- const ex & subsed_basis=basis.subs(ls,lr);
- const ex & subsed_exponent=exponent.subs(ls,lr);
+ const ex &subsed_basis = basis.subs(ls, lr, no_pattern);
+ const ex &subsed_exponent = exponent.subs(ls, lr, no_pattern);
- if (are_ex_trivially_equal(basis,subsed_basis)&&
- are_ex_trivially_equal(exponent,subsed_exponent)) {
- return *this;
- }
-
- return power(subsed_basis, subsed_exponent);
+ if (are_ex_trivially_equal(basis, subsed_basis)
+ && are_ex_trivially_equal(exponent, subsed_exponent))
+ return basic::subs(ls, lr, no_pattern);
+ else
+ return ex(power(subsed_basis, subsed_exponent)).bp->basic::subs(ls, lr, no_pattern);
}
ex power::simplify_ncmul(const exvector & v) const
cout << "k_cum[" << i << "]=" << k_cum[i] << endl;
cout << "upper_limit[" << i << "]=" << upper_limit[i] << endl;
}
- for (exvector::const_iterator cit=term.begin(); cit!=term.end(); ++cit) {
- cout << *cit << endl;
- }
+ for_each(term.begin(), term.end(), ostream_iterator<ex>(cout, "\n"));
cout << "end term" << endl;
*/
}
*/
-//////////
-// static member variables
-//////////
-
-// protected
-
-unsigned power::precedence = 60;
-
// helper function
ex sqrt(const ex & a)
git://www.ginac.de / ginac.git / blobdiff