X-Git-Url: https://www.ginac.de/ginac.git//ginac.git?p=ginac.git;a=blobdiff_plain;f=ginac%2Futils.h;h=e654bf885472028f58682aef9c0c55c1933cbca8;hp=e278f36e67de26afc2f2223a358b6f1a1862870c;hb=1ed8f877ea0ca066c276d5bea08f2e775559aa81;hpb=dc074d042a23f07350f0c2c68a2477763a5aaba0 diff --git a/ginac/utils.h b/ginac/utils.h index e278f36e..e654bf88 100644 --- a/ginac/utils.h +++ b/ginac/utils.h @@ -4,7 +4,7 @@ * of any interest to the user of the library. */ /* - * GiNaC Copyright (C) 1999-2001 Johannes Gutenberg University Mainz, Germany + * GiNaC Copyright (C) 1999-2003 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 @@ -24,154 +24,258 @@ #ifndef __GINAC_UTILS_H__ #define __GINAC_UTILS_H__ -#include -#include -#include #include "config.h" -#include "assertion.h" -#ifndef NO_NAMESPACE_GINAC -namespace GiNaC { -#endif // ndef NO_NAMESPACE_GINAC +#include +#include -// This should be obsoleted once is widely available. -template -std::string ToString(const T & t) -{ - char buf[256]; - std::ostrstream(buf,sizeof(buf)) << t << std::ends; - return buf; -} +#include "assertion.h" -/** Exception class thrown by classes which provide their own series expansion - * to signal that ordinary Taylor expansion is safe. */ -class do_taylor {}; +namespace GiNaC { -/** Exception class thrown when a singularity is encountered. */ -class pole_error : public std::domain_error { -public: - explicit pole_error(const std::string& what_arg, int degree); - int degree(void) const; -private: - int deg; -}; +/** Exception class thrown by functions to signal unimplemented functionality + * so the expression may just be .hold() */ +class dunno {}; // some compilers (e.g. cygwin) define a macro log2, causing confusion #ifndef log2 unsigned log2(unsigned n); #endif -int compare_pointers(const void * a, const void * b); - -/** Rotate lower 31 bits of unsigned value by one bit to the left - * (upper bits get cleared). */ -inline unsigned rotate_left_31(unsigned n) +/** Compare two pointers (just to establish some sort of canonical order). + * @return -1, 0, or 1 */ +template +inline int compare_pointers(const T * a, const T * b) { - // clear highest bit and shift 1 bit to the left - n=(n & 0x7FFFFFFFU) << 1; - - // overflow? clear highest bit and set lowest bit - if (n & 0x80000000U) { - n=(n & 0x7FFFFFFFU) | 0x00000001U; - } - GINAC_ASSERT(n<0x80000000U); + // '<' is not defined for pointers that don't point to the same array, + // but std::less is. + if (std::less()(a, b)) + return -1; + else if (std::less()(b, a)) + return 1; + return 0; +} - return n; +/** Rotate bits of unsigned value by one bit to the left. */ +inline unsigned rotate_left(unsigned n) +{ + return (n & 0x80000000U) ? (n << 1 | 0x00000001U) : (n << 1); } -/** Golden ratio hash function. */ +/** Truncated multiplication with golden ratio, for computing hash values. */ inline unsigned golden_ratio_hash(unsigned n) { - // This function requires arithmetic with at least 64 significant bits -#if SIZEOF_LONG_DOUBLE > 8 - // If "long double" is bigger than 64 bits, we assume that the mantissa - // has at least 64 bits. This is not guaranteed but it's a good guess. - const static long double golden_ratio = .618033988749894848204586834370; - long double m = golden_ratio * n; - return unsigned((m - int(m)) * 0x80000000); -#elif SIZEOF_LONG >= 8 - // "long" has 64 bits, so we prefer it because it might be more efficient - // than "long long" - unsigned long l = n * 0x4f1bbcddL; - return (l & 0x7fffffffU) ^ (l >> 32); + // This function works much better when fast arithmetic with at + // least 64 significant bits is available. +#if SIZEOF_LONG >= 8 + // So 'long' has 64 bits. Excellent! We prefer it because it might be + // more efficient than 'long long'. + unsigned long l = n * 0x4f1bbcddUL; + return (unsigned)l; #elif SIZEOF_LONG_LONG >= 8 - // This requires ´long long´ (or an equivalent 64 bit type)---which is, - // unfortunately, not ANSI-compliant: - unsigned long long l = n * 0x4f1bbcddLL; - return (l & 0x7fffffffU) ^ (l >> 32); + // This requires 'long long' (or an equivalent 64 bit type)---which is, + // unfortunately, not ANSI-C++-compliant. + // (Yet C99 demands it, which is reason for hope.) + unsigned long long l = n * 0x4f1bbcddULL; + return (unsigned)l; #else -#error "No 64 bit data type. You lose." + // Without a type with 64 significant bits do the multiplication manually + // by splitting n up into the lower and upper two bytes. + const unsigned n0 = (n & 0x0000ffffU); + const unsigned n1 = (n & 0xffff0000U) >> 16; + return (n0 * 0x0000bcddU) + ((n1 * 0x0000bcddU + n0 * 0x00004f1bU) << 16); #endif } -// modified from stl_algo.h: always do com(*first1,*first2) instead of comp(*first2,*first1) -template -OutputIterator mymerge(InputIterator1 first1, InputIterator1 last1, - InputIterator2 first2, InputIterator2 last2, - OutputIterator result, Compare comp) { - while (first1 != last1 && first2 != last2) { - if (comp(*first1, *first2)) { - *result = *first1; - ++first1; +/* Compute the sign of a permutation of a container, with and without an + explicitly supplied comparison function. If the sign returned is 1 or -1, + the container is sorted after the operation. */ +template +int permutation_sign(It first, It last) +{ + if (first == last) + return 0; + --last; + if (first == last) + return 0; + It flag = first; + int sign = 1; + + do { + It i = last, other = last; + --other; + bool swapped = false; + while (i != first) { + if (*i < *other) { + std::iter_swap(other, i); + flag = other; + swapped = true; + sign = -sign; + } else if (!(*other < *i)) + return 0; + --i; --other; } - else { - *result = *first2; - ++first2; + if (!swapped) + return sign; + ++flag; + if (flag == last) + return sign; + first = flag; + i = first; other = first; + ++other; + swapped = false; + while (i != last) { + if (*other < *i) { + std::iter_swap(i, other); + flag = other; + swapped = true; + sign = -sign; + } else if (!(*i < *other)) + return 0; + ++i; ++other; } - ++result; - } - return copy(first2, last2, copy(first1, last1, result)); + if (!swapped) + return sign; + last = flag; + --last; + } while (first != last); + + return sign; } -// like merge(), but three lists with *last2<*first3 -template -OutputIterator mymerge3(InputIterator1 first1, InputIterator1 last1, - InputIterator2 first2, InputIterator2 last2, - InputIterator3 first3, InputIterator3 last3, - OutputIterator result, Compare comp) { - while (first1 != last1 && first2 != last2) { - if (comp(*first1, *first2)) { - *result = *first1; - ++first1; +template +int permutation_sign(It first, It last, Cmp comp, Swap swapit) +{ + if (first == last) + return 0; + --last; + if (first == last) + return 0; + It flag = first; + int sign = 1; + + do { + It i = last, other = last; + --other; + bool swapped = false; + while (i != first) { + if (comp(*i, *other)) { + swapit(*other, *i); + flag = other; + swapped = true; + sign = -sign; + } else if (!comp(*other, *i)) + return 0; + --i; --other; } - else { - *result = *first2; - ++first2; + if (!swapped) + return sign; + ++flag; + if (flag == last) + return sign; + first = flag; + i = first; other = first; + ++other; + swapped = false; + while (i != last) { + if (comp(*other, *i)) { + swapit(*i, *other); + flag = other; + swapped = true; + sign = -sign; + } else if (!comp(*i, *other)) + return 0; + ++i; ++other; } - ++result; - } - - if (first1==last1) { - // list1 empty, copy rest of list2, then list3 - return copy(first3, last3, copy(first2, last2, result)); - } else { - // list2 empty, merge rest of list1 with list3 - return mymerge(first1,last1,first3,last3,result,comp); - } + if (!swapped) + return sign; + last = flag; + --last; + } while (first != last); + + return sign; } -// Compute the sign of a permutation of a vector of things. -template -int permutation_sign(std::vector s) +/* Implementation of shaker sort, only compares adjacent elements. */ +template +void shaker_sort(It first, It last, Cmp comp, Swap swapit) { - if (s.size() < 2) - return 0; - int sigma = 1; - for (typename std::vector::iterator i=s.begin(); i!=s.end()-1; ++i) { - for (typename std::vector::iterator j=i+1; j!=s.end(); ++j) { - if (*i == *j) - return 0; - if (*i > *j) { - iter_swap(i,j); - sigma = -sigma; + if (first == last) + return; + --last; + if (first == last) + return; + It flag = first; + + do { + It i = last, other = last; + --other; + bool swapped = false; + while (i != first) { + if (comp(*i, *other)) { + swapit(*other, *i); + flag = other; + swapped = true; + } + --i; --other; + } + if (!swapped) + return; + ++flag; + if (flag == last) + return; + first = flag; + i = first; other = first; + ++other; + swapped = false; + while (i != last) { + if (comp(*other, *i)) { + swapit(*i, *other); + flag = other; + swapped = true; } + ++i; ++other; } + if (!swapped) + return; + last = flag; + --last; + } while (first != last); +} + +/* In-place cyclic permutation of a container (no copying, only swapping). */ +template +void cyclic_permutation(It first, It last, It new_first, Swap swapit) +{ + unsigned num = last - first; +again: + if (first == new_first || num < 2) + return; + + unsigned num1 = new_first - first, num2 = last - new_first; + if (num1 >= num2) { + It a = first, b = new_first; + while (b != last) { + swapit(*a, *b); + ++a; ++b; + } + if (num1 > num2) { + first += num2; + num = num1; + goto again; + } + } else { + It a = new_first, b = last; + do { + --a; --b; + swapit(*a, *b); + } while (a != first); + last -= num1; + num = num2; + goto again; } - return sigma; } -void append_exvector_to_exvector(exvector & dest, const exvector & source); // Collection of `construct on first use' wrappers for safely avoiding // internal object replication without running into the `static @@ -179,110 +283,198 @@ void append_exvector_to_exvector(exvector & dest, const exvector & source); // the library but should not be used outside it since it is // potentially confusing. -class numeric; class ex; -const numeric & _num_120(void); // -120 -const ex & _ex_120(void); -const numeric & _num_60(void); // -60 -const ex & _ex_60(void); -const numeric & _num_48(void); // -48 -const ex & _ex_48(void); -const numeric & _num_30(void); // -30 -const ex & _ex_30(void); -const numeric & _num_25(void); // -25 -const ex & _ex_25(void); -const numeric & _num_24(void); // -24 -const ex & _ex_24(void); -const numeric & _num_20(void); // -20 -const ex & _ex_20(void); -const numeric & _num_18(void); // -18 -const ex & _ex_18(void); -const numeric & _num_15(void); // -15 -const ex & _ex_15(void); -const numeric & _num_12(void); // -12 -const ex & _ex_12(void); -const numeric & _num_11(void); // -11 -const ex & _ex_11(void); -const numeric & _num_10(void); // -10 -const ex & _ex_10(void); -const numeric & _num_9(void); // -9 -const ex & _ex_9(void); -const numeric & _num_8(void); // -8 -const ex & _ex_8(void); -const numeric & _num_7(void); // -7 -const ex & _ex_7(void); -const numeric & _num_6(void); // -6 -const ex & _ex_6(void); -const numeric & _num_5(void); // -5 -const ex & _ex_5(void); -const numeric & _num_4(void); // -4 -const ex & _ex_4(void); -const numeric & _num_3(void); // -3 -const ex & _ex_3(void); -const numeric & _num_2(void); // -2 -const ex & _ex_2(void); -const numeric & _num_1(void); // -1 -const ex & _ex_1(void); -const numeric & _num_1_2(void); // -1/2 -const ex & _ex_1_2(void); -const numeric & _num_1_3(void); // -1/3 -const ex & _ex_1_3(void); -const numeric & _num_1_4(void); // -1/4 -const ex & _ex_1_4(void); -const numeric & _num0(void); // 0 -const ex & _ex0(void); -const numeric & _num1_4(void); // 1/4 -const ex & _ex1_4(void); -const numeric & _num1_3(void); // 1/3 -const ex & _ex1_3(void); -const numeric & _num1_2(void); // 1/2 -const ex & _ex1_2(void); -const numeric & _num1(void); // 1 -const ex & _ex1(void); -const numeric & _num2(void); // 2 -const ex & _ex2(void); -const numeric & _num3(void); // 3 -const ex & _ex3(void); -const numeric & _num4(void); // 4 -const ex & _ex4(void); -const numeric & _num5(void); // 5 -const ex & _ex5(void); -const numeric & _num6(void); // 6 -const ex & _ex6(void); -const numeric & _num7(void); // 7 -const ex & _ex7(void); -const numeric & _num8(void); // 8 -const ex & _ex8(void); -const numeric & _num9(void); // 9 -const ex & _ex9(void); -const numeric & _num10(void); // 10 -const ex & _ex10(void); -const numeric & _num11(void); // 11 -const ex & _ex11(void); -const numeric & _num12(void); // 12 -const ex & _ex12(void); -const numeric & _num15(void); // 15 -const ex & _ex15(void); -const numeric & _num18(void); // 18 -const ex & _ex18(void); -const numeric & _num20(void); // 20 -const ex & _ex20(void); -const numeric & _num24(void); // 24 -const ex & _ex24(void); -const numeric & _num25(void); // 25 -const ex & _ex25(void); -const numeric & _num30(void); // 30 -const ex & _ex30(void); -const numeric & _num48(void); // 48 -const ex & _ex48(void); -const numeric & _num60(void); // 60 -const ex & _ex60(void); -const numeric & _num120(void); // 120 -const ex & _ex120(void); - -#ifndef NO_NAMESPACE_GINAC +extern const numeric *_num_120_p; +extern const numeric &_num_120; +extern const ex _ex_120; +extern const numeric *_num_60_p; +extern const numeric &_num_60; +extern const ex _ex_60; +extern const numeric *_num_48_p; +extern const numeric &_num_48; +extern const ex _ex_48; +extern const numeric *_num_30_p; +extern const numeric &_num_30; +extern const ex _ex_30; +extern const numeric *_num_25_p; +extern const numeric &_num_25; +extern const ex _ex_25; +extern const numeric *_num_24_p; +extern const numeric &_num_24; +extern const ex _ex_24; +extern const numeric *_num_20_p; +extern const numeric &_num_20; +extern const ex _ex_20; +extern const numeric *_num_18_p; +extern const numeric &_num_18; +extern const ex _ex_18; +extern const numeric *_num_15_p; +extern const numeric &_num_15; +extern const ex _ex_15; +extern const numeric *_num_12_p; +extern const numeric &_num_12; +extern const ex _ex_12; +extern const numeric *_num_11_p; +extern const numeric &_num_11; +extern const ex _ex_11; +extern const numeric *_num_10_p; +extern const numeric &_num_10; +extern const ex _ex_10; +extern const numeric *_num_9_p; +extern const numeric &_num_9; +extern const ex _ex_9; +extern const numeric *_num_8_p; +extern const numeric &_num_8; +extern const ex _ex_8; +extern const numeric *_num_7_p; +extern const numeric &_num_7; +extern const ex _ex_7; +extern const numeric *_num_6_p; +extern const numeric &_num_6; +extern const ex _ex_6; +extern const numeric *_num_5_p; +extern const numeric &_num_5; +extern const ex _ex_5; +extern const numeric *_num_4_p; +extern const numeric &_num_4; +extern const ex _ex_4; +extern const numeric *_num_3_p; +extern const numeric &_num_3; +extern const ex _ex_3; +extern const numeric *_num_2_p; +extern const numeric &_num_2; +extern const ex _ex_2; +extern const numeric *_num_1_p; +extern const numeric &_num_1; +extern const ex _ex_1; +extern const numeric *_num_1_2_p; +extern const numeric &_num_1_2; +extern const ex _ex_1_2; +extern const numeric *_num_1_3_p; +extern const numeric &_num_1_3; +extern const ex _ex_1_3; +extern const numeric *_num_1_4_p; +extern const numeric &_num_1_4; +extern const ex _ex_1_4; +extern const numeric *_num0_p; +extern const basic *_num0_bp; +extern const numeric &_num0; +extern const ex _ex0; +extern const numeric *_num1_4_p; +extern const numeric &_num1_4; +extern const ex _ex1_4; +extern const numeric *_num1_3_p; +extern const numeric &_num1_3; +extern const ex _ex1_3; +extern const numeric *_num1_2_p; +extern const numeric &_num1_2; +extern const ex _ex1_2; +extern const numeric *_num1_p; +extern const numeric &_num1; +extern const ex _ex1; +extern const numeric *_num2_p; +extern const numeric &_num2; +extern const ex _ex2; +extern const numeric *_num3_p; +extern const numeric &_num3; +extern const ex _ex3; +extern const numeric *_num4_p; +extern const numeric &_num4; +extern const ex _ex4; +extern const numeric *_num5_p; +extern const numeric &_num5; +extern const ex _ex5; +extern const numeric *_num6_p; +extern const numeric &_num6; +extern const ex _ex6; +extern const numeric *_num7_p; +extern const numeric &_num7; +extern const ex _ex7; +extern const numeric *_num8_p; +extern const numeric &_num8; +extern const ex _ex8; +extern const numeric *_num9_p; +extern const numeric &_num9; +extern const ex _ex9; +extern const numeric *_num10_p; +extern const numeric &_num10; +extern const ex _ex10; +extern const numeric *_num11_p; +extern const numeric &_num11; +extern const ex _ex11; +extern const numeric *_num12_p; +extern const numeric &_num12; +extern const ex _ex12; +extern const numeric *_num15_p; +extern const numeric &_num15; +extern const ex _ex15; +extern const numeric *_num18_p; +extern const numeric &_num18; +extern const ex _ex18; +extern const numeric *_num20_p; +extern const numeric &_num20; +extern const ex _ex20; +extern const numeric *_num24_p; +extern const numeric &_num24; +extern const ex _ex24; +extern const numeric *_num25_p; +extern const numeric &_num25; +extern const ex _ex25; +extern const numeric *_num30_p; +extern const numeric &_num30; +extern const ex _ex30; +extern const numeric *_num48_p; +extern const numeric &_num48; +extern const ex _ex48; +extern const numeric *_num60_p; +extern const numeric &_num60; +extern const ex _ex60; +extern const numeric *_num120_p; +extern const numeric &_num120; +extern const ex _ex120; + + +// Helper macros for class implementations (mostly useful for trivial classes) + +#define DEFAULT_CTOR(classname) \ +classname::classname() : inherited(TINFO_##classname) {} + +#define DEFAULT_UNARCHIVE(classname) \ +ex classname::unarchive(const archive_node &n, lst &sym_lst) \ +{ \ + return (new classname(n, sym_lst))->setflag(status_flags::dynallocated); \ +} + +#define DEFAULT_ARCHIVING(classname) \ +classname::classname(const archive_node &n, lst &sym_lst) : inherited(n, sym_lst) {} \ +DEFAULT_UNARCHIVE(classname) \ +void classname::archive(archive_node &n) const \ +{ \ + inherited::archive(n); \ +} + +#define DEFAULT_COMPARE(classname) \ +int classname::compare_same_type(const basic & other) const \ +{ \ + /* by default, the objects are always identical */ \ + return 0; \ +} + +#define DEFAULT_PRINT(classname, text) \ +void classname::do_print(const print_context & c, unsigned level) const \ +{ \ + c.s << text; \ +} + +#define DEFAULT_PRINT_LATEX(classname, text, latex) \ +DEFAULT_PRINT(classname, text) \ +void classname::do_print_latex(const print_latex & c, unsigned level) const \ +{ \ + c.s << latex; \ +} + } // namespace GiNaC -#endif // ndef NO_NAMESPACE_GINAC + #endif // ndef __GINAC_UTILS_H__