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2006-04-25 Bruno Haible <bruno@clisp.org> Richard B. Kreckel <kreckel@ginac.de> Make it theoretically possible to use bignums and long-floats with more than 2^32 significant digits or bits. * doc/cln.tex (logcount): Change return type to uintC. (struct cl_byte): Change elements to uintC. (integer_length, ord2, power2p): Change return type to uintC. (scale_float): Change argument type to sintC. (float_digits, float_precision): Change return type to uintC. * examples/atan_recip.cc: Use uintC instead of uintL where appropriate. * examples/atanh_recip.cc: Likewise. * include/cln/GV.h: Likewise. * include/cln/GV_complex.h: Likewise. * include/cln/GV_integer.h: Likewise. * include/cln/GV_modinteger.h: Likewise. * include/cln/GV_number.h: Likewise. * include/cln/GV_rational.h: Likewise. * include/cln/GV_real.h: Likewise. * include/cln/SV.h: Likewise. * include/cln/SV_complex.h: Likewise. * include/cln/SV_integer.h: Likewise. * include/cln/SV_number.h: Likewise. * include/cln/SV_rational.h: Likewise. * include/cln/SV_real.h: Likewise. * include/cln/SV_ringelt.h: Likewise. * include/cln/dfloat.h: Likewise. * include/cln/ffloat.h: Likewise. * include/cln/float.h: Likewise. * include/cln/integer.h: Likewise. * include/cln/lfloat.h: Likewise. * include/cln/modinteger.h: Likewise. * include/cln/sfloat.h: Likewise. * src/base/cl_low.h (integerlengthC): New macro. * src/base/digitseq/cl_2DS_div.cc: Use uintC instead of uintL where appropriate. * src/base/digitseq/cl_2DS_recip.cc: Likewise. * src/base/digitseq/cl_DS.h: Likewise. * src/base/digitseq/cl_DS_mul.c: Likewise. * src/base/digitseq/cl_DS_mul_fftc.h: Likewise. * src/base/digitseq/cl_DS_mul_fftcs.h: Likewise. * src/base/digitseq/cl_DS_mul_fftm.h: Likewise. * src/base/digitseq/cl_DS_mul_fftp.h: Likewise. * src/base/digitseq/cl_DS_mul_fftp3.h: Likewise. * src/base/digitseq/cl_DS_mul_fftp3m.h: Likewise. * src/base/digitseq/cl_DS_mul_fftr.h: Likewise. * src/base/digitseq/cl_DS_mul_kara.h: Likewise. * src/base/digitseq/cl_DS_mul_nuss.h: Likewise. * src/base/digitseq/cl_DS_recip.cc: Likewise. * src/base/digitseq/cl_DS_recipsqrt.cc: Likewise. * src/base/digitseq/cl_DS_sqrt.cc: Likewise. * src/base/digitseq/cl_DS_trandom.cc: Likewise. * src/complex/input/cl_N_read.cc: Likewise. * src/complex/transcendental/cl_C_asinh_aux.cc: Likewise. * src/complex/transcendental/cl_C_expt_C.cc: Likewise. * src/float/cl_F.h: Likewise. * src/float/conv/cl_F_from_F_f.cc: Likewise. * src/float/conv/cl_F_from_I_f.cc: Likewise. * src/float/conv/cl_F_from_RA_f.cc: Likewise. * src/float/dfloat/conv/cl_I_to_double.cc: Likewise. * src/float/dfloat/conv/cl_RA_to_double.cc: Likewise. * src/float/dfloat/elem/cl_DF_from_I.cc: Likewise. * src/float/dfloat/elem/cl_DF_from_RA.cc: Likewise. * src/float/dfloat/elem/cl_DF_scale.cc: Likewise. * src/float/dfloat/misc/cl_DF_digits.cc: Likewise. * src/float/dfloat/misc/cl_DF_precision.cc: Likewise. * src/float/elem/cl_F_scale.cc: Likewise. * src/float/ffloat/conv/cl_I_to_float.cc: Likewise. * src/float/ffloat/conv/cl_RA_to_float.cc: Likewise. * src/float/ffloat/elem/cl_FF_from_I.cc: Likewise. * src/float/ffloat/elem/cl_FF_from_RA.cc: Likewise. * src/float/ffloat/elem/cl_FF_scale.cc: Likewise. * src/float/ffloat/misc/cl_FF_digits.cc: Likewise. * src/float/ffloat/misc/cl_FF_precision.cc: Likewise. * src/float/input/cl_F_read.cc: Likewise. * src/float/lfloat/algebraic/cl_LF_sqrt.cc: Likewise. * src/float/lfloat/elem/cl_LF_1plus.cc: Likewise. * src/float/lfloat/elem/cl_LF_I_div.cc: Likewise. * src/float/lfloat/elem/cl_LF_I_mul.cc: Likewise. * src/float/lfloat/elem/cl_LF_div.cc: Likewise. * src/float/lfloat/elem/cl_LF_from_I.cc: Likewise. * src/float/lfloat/elem/cl_LF_from_RA.cc: Likewise. * src/float/lfloat/elem/cl_LF_fround.cc: Likewise. * src/float/lfloat/elem/cl_LF_ftrunc.cc: Likewise. * src/float/lfloat/elem/cl_LF_futrunc.cc: Likewise. * src/float/lfloat/elem/cl_LF_scale.cc: Likewise. * src/float/lfloat/elem/cl_LF_to_I.cc: Likewise. * src/float/lfloat/misc/cl_LF_digits.cc: Likewise. * src/float/lfloat/misc/cl_LF_idecode.cc: Likewise. * src/float/lfloat/misc/cl_LF_leninc.cc: Likewise. * src/float/lfloat/misc/cl_LF_lenincx.cc: Likewise. * src/float/lfloat/misc/cl_LF_precision.cc: Likewise. * src/float/lfloat/misc/cl_LF_shortenrel.cc: Likewise. * src/float/lfloat/misc/cl_LF_shortenwith.cc: Likewise. * src/float/misc/cl_F_digits.cc: Likewise. * src/float/misc/cl_F_epsneg.cc: Likewise. * src/float/misc/cl_F_epspos.cc: Likewise. * src/float/misc/cl_F_leastneg.cc: Likewise. * src/float/misc/cl_F_leastpos.cc: Likewise. * src/float/misc/cl_F_mostneg.cc: Likewise. * src/float/misc/cl_F_mostpos.cc: Likewise. * src/float/misc/cl_F_precision.cc: Likewise. * src/float/misc/cl_F_rational.cc: Likewise. * src/float/misc/cl_F_shortenrel.cc: Likewise. * src/float/output/cl_F_dprint.cc: Likewise. * src/float/random/cl_F_random.cc: Likewise. * src/float/sfloat/elem/cl_SF_from_I.cc: Likewise. * src/float/sfloat/elem/cl_SF_from_RA.cc: Likewise. * src/float/sfloat/elem/cl_SF_scale.cc: Likewise. * src/float/sfloat/misc/cl_SF_digits.cc: Likewise. * src/float/sfloat/misc/cl_SF_precision.cc: Likewise. * src/float/transcendental/cl_F_atanhx.cc: Likewise. * src/float/transcendental/cl_F_atanx.cc: Likewise. * src/float/transcendental/cl_F_catalanconst_f.cc: Likewise. * src/float/transcendental/cl_F_cos.cc: Likewise. * src/float/transcendental/cl_F_cosh.cc: Likewise. * src/float/transcendental/cl_F_coshsinh.cc: Likewise. * src/float/transcendental/cl_F_cossin.cc: Likewise. * src/float/transcendental/cl_F_eulerconst_f.cc: Likewise. * src/float/transcendental/cl_F_exp1_f.cc: Likewise. * src/float/transcendental/cl_F_expx.cc: Likewise. * src/float/transcendental/cl_F_ln10_f.cc: Likewise. * src/float/transcendental/cl_F_ln2_f.cc: Likewise. * src/float/transcendental/cl_F_lnx.cc: Likewise. * src/float/transcendental/cl_F_pi_f.cc: Likewise. * src/float/transcendental/cl_F_sin.cc: Likewise. * src/float/transcendental/cl_F_sinh.cc: Likewise. * src/float/transcendental/cl_F_sinhx.cc: Likewise. * src/float/transcendental/cl_F_sinx.cc: Likewise. * src/float/transcendental/cl_F_tran.h: Likewise. * src/float/transcendental/cl_F_zeta_int_f.cc: Likewise. * src/float/transcendental/cl_LF_atan_recip.cc: Likewise. * src/float/transcendental/cl_LF_atanh_recip.cc: Likewise. * src/float/transcendental/cl_LF_catalanconst.cc: Likewise. * src/float/transcendental/cl_LF_coshsinh_aux.cc: Likewise. * src/float/transcendental/cl_LF_cossin_aux.cc: Likewise. * src/float/transcendental/cl_LF_eulerconst.cc: Likewise. * src/float/transcendental/cl_LF_exp1.cc: Likewise. * src/float/transcendental/cl_LF_exp_aux.cc: Likewise. * src/float/transcendental/cl_LF_pi.cc: Likewise. * src/float/transcendental/cl_LF_ratseries.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_a.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_ab.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_b.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_p.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_pa.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_pab.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_pb.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_pq.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_pqa.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_pqab.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_pqb.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_q.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_qa.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_qab.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_qb.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_stream_pq.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_stream_pqa.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_stream_pqab.cc: Likewise. * src/float/transcendental/cl_LF_ratseries_stream_pqb.cc: Likewise. * src/float/transcendental/cl_LF_ratsumseries_pqcd.cc: Likewise. * src/float/transcendental/cl_LF_ratsumseries_pqcd_aux.cc: Likewise. * src/float/transcendental/cl_LF_ratsumseries_pqd.cc: Likewise. * src/float/transcendental/cl_LF_ratsumseries_pqd_aux.cc: Likewise. * src/float/transcendental/cl_LF_tran.h: Likewise. * src/float/transcendental/cl_LF_zeta3.cc: Likewise. * src/float/transcendental/cl_LF_zeta_int.cc: Likewise. * src/integer/algebraic/cl_I_rootp_I.cc: Likewise. * src/integer/algebraic/cl_I_rootp_aux.cc: Likewise. * src/integer/bitwise/cl_I_ash.cc: Likewise. * src/integer/bitwise/cl_I_ash_I.cc: Likewise. * src/integer/bitwise/cl_I_byte.h: Likewise. * src/integer/bitwise/cl_I_fullbyte.cc: Likewise. * src/integer/bitwise/cl_I_ilength.cc: Likewise. * src/integer/bitwise/cl_I_ldb.cc: Likewise. * src/integer/bitwise/cl_I_ldbtest.cc: Likewise. * src/integer/bitwise/cl_I_ldbx.cc: Likewise. * src/integer/bitwise/cl_I_ldbxtest.cc: Likewise. * src/integer/bitwise/cl_I_logbitp.cc: Likewise. * src/integer/bitwise/cl_I_logbitp_I.cc: Likewise. * src/integer/bitwise/cl_I_logcount.cc: Likewise. * src/integer/bitwise/cl_I_mkf.cc: Likewise. * src/integer/bitwise/cl_I_mkfx.cc: Likewise. * src/integer/cl_I.h: Likewise. * src/integer/conv/cl_I_to_digits.cc: Likewise. * src/integer/conv/cl_I_digits_need.cc: Likewise. * src/integer/conv/cl_I_from_digits.cc: Likewise. * src/integer/gcd/cl_I_gcd.cc: Likewise. * src/integer/gcd/cl_I_xgcd.cc: Likewise. * src/integer/misc/cl_I_eqhashcode.cc: Likewise. * src/integer/misc/cl_I_ord2.cc: Likewise. * src/integer/misc/cl_I_power2p.cc: Likewise. * src/integer/output/cl_I_cached_power.h (cached_power_table): allow for 40 elements. * src/integer/output/cl_I_decstring.cc: Use uintC instead of uintL where appropriate. * src/integer/output/cl_I_print.cc: Likewise. * src/integer/output/cl_I_print_string.cc: Likewise. * src/modinteger/cl_MI.cc: Likewise. * src/modinteger/cl_MI_lshift.cc: Likewise. * src/modinteger/cl_MI_montgom.h: Likewise. * src/modinteger/cl_MI_pow2.h: Likewise. * src/modinteger/cl_MI_pow2m1.h: Likewise. * src/modinteger/cl_MI_pow2p1.h: Likewise. * src/modinteger/cl_MI_rshift.cc: Likewise. * src/modinteger/cl_MI_std.h: Likewise. * src/numtheory/cl_IF_millerrabin.cc: Likewise. * src/numtheory/cl_nt_isprobprime.cc: Likewise. * src/numtheory/cl_nt_sqrtmodp.cc: Likewise. * src/polynomial/elem/cl_UP_GF2.h: Likewise. * src/real/conv/cl_F_from_R_f.cc: Likewise. * src/real/format-output/cl_fmt_floatstring.cc: Likewise. * src/real/input/cl_R_read.cc: Likewise. * src/vector/cl_GV_I.cc: Likewise. * src/vector/cl_GV_I_copy.cc: Likewise. * src/vector/cl_GV_number.cc: Likewise. * src/vector/cl_GV_number_copy.cc: Likewise. * src/vector/cl_SV_copy.cc: Likewise. * src/vector/cl_SV_number.cc: Likewise. * src/vector/cl_SV_ringelt.cc: Likewise. * tests/main.cc: Likewise. * tests/test_I_ilength.cc: Likewise. * tests/test_I_ord2.cc: Likewise.
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  1. //#define WANT_OBFUSCATING_OPERATORS
  2. #include <cln/number.h>
  3. #include <cln/io.h>
  4. //#include <cln/complex.h>
  5. //#include <cln/real.h>
  6. //#include <cln/real_io.h>
  7. //#include <cln/output.h>
  8. //#include <cln/ffloat.h>
  9. #include <cln/integer.h>
  10. #include <cln/integer_io.h>
  11. //#include <cln/modinteger.h>
  12. //#include <cln/numtheory.h>
  13. #include <cln/timing.h>
  14. using namespace cln;
  15. #include <iostream>
  16. using namespace std;
  17. #define DUMP(expr) \
  18. fprint(cout, #expr" = "); fprint(cout, expr); fprint(cout, "\n");
  19. int main (int argc, char* argv[])
  20. {
  21. (void)argc; (void)argv;
  22. #if 0
  23. cl_F archimedes = pi((float_format_t)10000);
  24. fprint(cout, archimedes);
  25. fprint(cout, "\n");
  26. #endif
  27. #if 0
  28. cl_FF a;
  29. cl_FF x1 = "-0.2173f0";
  30. cl_FF x2 = "5.5084f9";
  31. cl_FF y = "-1.19698f9";
  32. fprint(cout, "x1 = "); print_float_binary(cout,x1); fprint(cout, " = "); fprint(cout,x1); fprint(cout, "\n");
  33. fprint(cout, "x2 = "); print_float_binary(cout,x2); fprint(cout, " = "); fprint(cout,x2); fprint(cout, "\n");
  34. fprint(cout, "y = "); print_float_binary(cout,y); fprint(cout, " = "); fprint(cout,y); fprint(cout, "\n");
  35. cl_FF x = x1*x2;
  36. fprint(cout, "x1*x2 = "); print_float_binary(cout,x); fprint(cout, " = "); fprint(cout,x); fprint(cout, "\n");
  37. #endif
  38. #if 0
  39. cl_I x = 10;
  40. cl_I y = ++x;
  41. x *= 2;
  42. x++;
  43. fprint(cout, "x = "); fprint(cout, x); fprint(cout, "\n");
  44. fprint(cout, "y = "); fprint(cout, y); fprint(cout, "\n");
  45. #endif
  46. #if 0
  47. cl_I a = "77371252437321868671713407";
  48. cl_I w;
  49. bool squarep = isqrt(a,&w);
  50. DUMP(squarep);
  51. DUMP(w);
  52. DUMP(expt_pos(w,2) <= a);
  53. DUMP(a < expt_pos(w+1,2));
  54. #endif
  55. #if 0
  56. cl_I m = "79228162513111556826425457664";
  57. cl_I a = "19787815858762768436681494528";
  58. cl_modint_ring R = find_modint_ring(m);
  59. cl_I b = R->retract(R->canonhom(a));
  60. cl_I c = mod(a,abs(m));
  61. DUMP(b);
  62. DUMP(c);
  63. DUMP(b==c);
  64. #endif
  65. #if 0
  66. cl_N x = argv[1];
  67. cl_N y = sinh(x);
  68. { CL_TIMING; y = sinh(x); }
  69. cout << y << endl;
  70. #endif
  71. #if 0
  72. cl_I x = argv[1];
  73. cout << x << " is " << (isprobprime(x) ? "" : "not ") << "prime" << endl;
  74. #endif
  75. #if 0
  76. float_format_t f = float_format(atoi(argv[1]));
  77. extern cl_LF zeta3 (uintC len);
  78. uintC len = (uintC)f/intDsize+1;
  79. { CL_TIMING; cout << zeta(2,f) << endl; }
  80. { CL_TIMING; cout << expt(pi(f),2)/6 << endl; }
  81. { CL_TIMING; cout << zeta(3,f) << endl; }
  82. { CL_TIMING; cout << zeta3(len) << endl; }
  83. { CL_TIMING; cout << zeta(4,f) << endl; }
  84. #endif
  85. cl_I a = cl_I(argv[1]);
  86. cl_I b = cl_I(argv[2]);
  87. cl_I u;
  88. cl_I v;
  89. cl_I g = xgcd(a,b,&u,&v);
  90. cout << "a = " << a << endl;
  91. cout << "b = " << b << endl;
  92. cout << "gcd = " << gcd(a,b) << endl;
  93. cout << "g = " << g << endl;
  94. cout << "u = " << u << endl;
  95. cout << "v = " << v << endl;
  96. #if 0
  97. cl_F x = argv[1];
  98. cout << x << endl;
  99. #endif
  100. }