X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Fnumeric.cpp;h=49951470475de6ccf9de61b97b9f76e03a259d88;hp=69a787b5d985b5e174ea61a6f38c7b89f2bb3a2c;hb=5e9875d5f67a68d2cb680454ff4de480bad1b6f1;hpb=a7693a0f710b49494f95ce5a4a0953752e69c7f9;ds=sidebyside diff --git a/ginac/numeric.cpp b/ginac/numeric.cpp index 69a787b5..49951470 100644 --- a/ginac/numeric.cpp +++ b/ginac/numeric.cpp @@ -255,60 +255,120 @@ numeric::numeric(const cln::cl_N &z) : basic(&numeric::tinfo_static) // archiving ////////// -numeric::numeric(const archive_node &n, lst &sym_lst) : inherited(n, sym_lst) +/** + * Construct a floating point number from sign, mantissa, and exponent + */ +static const cln::cl_F make_real_float(const cln::cl_idecoded_float& dec) { - cln::cl_N ctorval = 0; + cln::cl_F x = cln::cl_float(dec.mantissa, cln::default_float_format); + x = cln::scale_float(x, dec.exponent); + cln::cl_F sign = cln::cl_float(dec.sign, cln::default_float_format); + x = cln::float_sign(sign, x); + return x; +} + +/** + * Read serialized floating point number + */ +static const cln::cl_F read_real_float(std::istream& s) +{ + cln::cl_idecoded_float dec; + s >> dec.sign >> dec.mantissa >> dec.exponent; + const cln::cl_F x = make_real_float(dec); + return x; +} +numeric::numeric(const archive_node &n, lst &sym_lst) : inherited(n, sym_lst) +{ + value = 0; + // Read number as string std::string str; if (n.find_string("number", str)) { std::istringstream s(str); - cln::cl_idecoded_float re, im; + cln::cl_R re, im; char c; s.get(c); switch (c) { - case 'R': // Integer-decoded real number - s >> re.sign >> re.mantissa >> re.exponent; - ctorval = re.sign * re.mantissa * cln::expt(cln::cl_float(2.0, cln::default_float_format), re.exponent); + case 'R': + // real FP (floating point) number + re = read_real_float(s); + value = re; + break; + case 'C': + // both real and imaginary part are FP numbers + re = read_real_float(s); + im = read_real_float(s); + value = cln::complex(re, im); + break; + case 'H': + // real part is a rational number, + // imaginary part is a FP number + s >> re; + im = read_real_float(s); + value = cln::complex(re, im); break; - case 'C': // Integer-decoded complex number - s >> re.sign >> re.mantissa >> re.exponent; - s >> im.sign >> im.mantissa >> im.exponent; - ctorval = cln::complex(re.sign * re.mantissa * cln::expt(cln::cl_float(2.0, cln::default_float_format), re.exponent), - im.sign * im.mantissa * cln::expt(cln::cl_float(2.0, cln::default_float_format), im.exponent)); + case 'J': + // real part is a FP number, + // imaginary part is a rational number + re = read_real_float(s); + s >> im; + value = cln::complex(re, im); break; - default: // Ordinary number + default: + // both real and imaginary parts are rational s.putback(c); - s >> ctorval; + s >> value; break; } } - value = ctorval; setflag(status_flags::evaluated | status_flags::expanded); } +static void write_real_float(std::ostream& s, const cln::cl_R& n) +{ + const cln::cl_idecoded_float dec = cln::integer_decode_float(cln::the(n)); + s << dec.sign << ' ' << dec.mantissa << ' ' << dec.exponent; +} + void numeric::archive(archive_node &n) const { inherited::archive(n); // Write number as string + + const cln::cl_R re = cln::realpart(value); + const cln::cl_R im = cln::imagpart(value); + const bool re_rationalp = cln::instanceof(re, cln::cl_RA_ring); + const bool im_rationalp = cln::instanceof(im, cln::cl_RA_ring); + + // Non-rational numbers are written in an integer-decoded format + // to preserve the precision std::ostringstream s; - if (this->is_crational()) + if (re_rationalp && im_rationalp) s << value; - else { - // Non-rational numbers are written in an integer-decoded format - // to preserve the precision - if (this->is_real()) { - cln::cl_idecoded_float re = cln::integer_decode_float(cln::the(value)); - s << "R"; - s << re.sign << " " << re.mantissa << " " << re.exponent; - } else { - cln::cl_idecoded_float re = cln::integer_decode_float(cln::the(cln::realpart(cln::the(value)))); - cln::cl_idecoded_float im = cln::integer_decode_float(cln::the(cln::imagpart(cln::the(value)))); - s << "C"; - s << re.sign << " " << re.mantissa << " " << re.exponent << " "; - s << im.sign << " " << im.mantissa << " " << im.exponent; - } + else if (zerop(im)) { + // real FP (floating point) number + s << 'R'; + write_real_float(s, re); + } else if (re_rationalp) { + s << 'H'; // just any unique character + // real part is a rational number, + // imaginary part is a FP number + s << re << ' '; + write_real_float(s, im); + } else if (im_rationalp) { + s << 'J'; + // real part is a FP number, + // imaginary part is a rational number + write_real_float(s, re); + s << ' ' << im; + } else { + // both real and imaginary parts are floating point + s << 'C'; + write_real_float(s, re); + s << ' '; + write_real_float(s, im); } n.add_string("number", s.str()); }