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Groups > comp.lang.c++ > #121283

Re: constexpr is really very smart!

From Michael S <already5chosen@yahoo.com>
Newsgroups comp.lang.c++
Subject Re: constexpr is really very smart!
Date 2024-12-22 00:07 +0200
Organization A noiseless patient Spider
Message-ID <20241222000708.000007ef@yahoo.com> (permalink)
References (3 earlier) <20241218013342.0000518a@yahoo.com> <20241218135131.00000006@yahoo.com> <86zfksf4lb.fsf@linuxsc.com> <20241220021703.00003e9e@yahoo.com> <86msgqezb8.fsf@linuxsc.com>

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On Fri, 20 Dec 2024 14:59:07 -0800
Tim Rentsch <tr.17687@z991.linuxsc.com> wrote:

>
> I ran a python version to compute fibonacci( 10000000 ).  This code
> ran 30% faster than the previous version, which I would be is
> almost entirely due to the expression factoring with 'c'.  Great!
>

This one does fib(10M) in 89 msec on my very old home PC.

#include "gmp.h"

void fib(mpz_t rop, long n)
{
  if (n <= 0) {
    mpz_set_ui(rop, 0);
    return;
  }

  // find MS bit
  unsigned long tmp = n;
  unsigned long bit = 1;
  while (tmp > 1) {
    bit += bit;
    tmp /= 2;
  }
  // for n > 0
  // fib(n*2)   = (fib(n-1)+fib(n+1))*fib(n)
  // fib(n*2+1) = fib(n)*fib(n)+fib(n+1)*fib(n+1)
  mpz_t a, b, aa, bb;
  mpz_init_set_si(a, 0);
  mpz_init_set_si(b, 1);
  mpz_init(aa);
  mpz_init(bb);
  while (bit > 1) {
    mpz_mul(aa, a, a);
    mpz_mul(bb, b, b);
    mpz_add(aa, aa, bb); // aa = a*a+b*b

    mpz_add(a, a, a);
    mpz_add(a, a, b);
    mpz_mul(bb, a, b); // bb = (a*2+b)*b

    bit /= 2;
    if (n & bit) {
      mpz_add(aa, aa, bb);
      mpz_swap(aa, bb);
    }
    mpz_swap(a, aa);
    mpz_swap(b, bb);
  }
  mpz_swap(rop, b);
  mpz_clear(a);
  mpz_clear(b);
  mpz_clear(aa);
  mpz_clear(bb);
}

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Thread

constexpr is really very smart! Student Project <student@invalid.invalid> - 2024-12-15 20:20 +0000
  Re: constexpr is really very smart! Michael S <already5chosen@yahoo.com> - 2024-12-16 11:28 +0200
    Re: constexpr is really very smart! David Brown <david.brown@hesbynett.no> - 2024-12-16 11:18 +0100
      Re: constexpr is really very smart! Michael S <already5chosen@yahoo.com> - 2024-12-16 13:23 +0200
        Re: constexpr is really very smart! David Brown <david.brown@hesbynett.no> - 2024-12-16 13:43 +0100
          Re: constexpr is really very smart! Michael S <already5chosen@yahoo.com> - 2024-12-17 11:08 +0200
            Re: constexpr is really very smart! David Brown <david.brown@hesbynett.no> - 2024-12-17 11:10 +0100
        Re: constexpr is really very smart! Tim Rentsch <tr.17687@z991.linuxsc.com> - 2024-12-18 03:26 -0800
          Re: constexpr is really very smart! Michael S <already5chosen@yahoo.com> - 2024-12-18 14:39 +0200
            Re: constexpr is really very smart! Tim Rentsch <tr.17687@z991.linuxsc.com> - 2024-12-18 07:42 -0800
    Re: constexpr is really very smart! Tim Rentsch <tr.17687@z991.linuxsc.com> - 2024-12-17 12:54 -0800
      Re: constexpr is really very smart! Michael S <already5chosen@yahoo.com> - 2024-12-18 01:33 +0200
        Re: constexpr is really very smart! Michael S <already5chosen@yahoo.com> - 2024-12-18 13:51 +0200
          Re: constexpr is really very smart! Tim Rentsch <tr.17687@z991.linuxsc.com> - 2024-12-19 00:40 -0800
            Re: constexpr is really very smart! Michael S <already5chosen@yahoo.com> - 2024-12-20 02:17 +0200
              Re: constexpr is really very smart! Tim Rentsch <tr.17687@z991.linuxsc.com> - 2024-12-20 14:59 -0800
                Re: constexpr is really very smart! Michael S <already5chosen@yahoo.com> - 2024-12-22 00:07 +0200
                Re: constexpr is really very smart! Tim Rentsch <tr.17687@z991.linuxsc.com> - 2024-12-22 10:25 -0800
                Re: constexpr is really very smart! Michael S <already5chosen@yahoo.com> - 2024-12-23 17:47 +0200
                Re: constexpr is really very smart! Tim Rentsch <tr.17687@z991.linuxsc.com> - 2024-12-24 05:21 -0800
                Bignum multiplication in Python vs GMP (was: constexpr is really very smart!) Michael S <already5chosen@yahoo.com> - 2024-12-25 11:05 +0200
                Re: Bignum multiplication in Python vs GMP (was: constexpr is really very smart!) Michael S <already5chosen@yahoo.com> - 2024-12-25 13:33 +0200
                Re: Bignum multiplication in Python vs GMP (was: constexpr is really very smart!) Tim Rentsch <tr.17687@z991.linuxsc.com> - 2024-12-26 18:54 -0800
                Re: Bignum multiplication in Python vs GMP (was: constexpr is really very smart!) Tim Rentsch <tr.17687@z991.linuxsc.com> - 2024-12-26 18:42 -0800
          Re: constexpr is really very smart! Student Project <student@invalid.invalid> - 2024-12-19 19:14 +0000
        Re: constexpr is really very smart! Tim Rentsch <tr.17687@z991.linuxsc.com> - 2024-12-18 09:45 -0800
          Re: constexpr is really very smart! Michael S <already5chosen@yahoo.com> - 2024-12-18 22:00 +0200
            Re: constexpr is really very smart! Tim Rentsch <tr.17687@z991.linuxsc.com> - 2024-12-19 00:57 -0800
              Re: constexpr is really very smart! Michael S <already5chosen@yahoo.com> - 2024-12-19 23:45 +0200
                Re: constexpr is really very smart! Tim Rentsch <tr.17687@z991.linuxsc.com> - 2024-12-20 14:31 -0800
                Re: constexpr is really very smart! Michael S <already5chosen@yahoo.com> - 2024-12-22 00:14 +0200
                Re: constexpr is really very smart! James Kuyper <jameskuyper@alumni.caltech.edu> - 2024-12-21 17:55 -0500
                Re: constexpr is really very smart! Michael S <already5chosen@yahoo.com> - 2024-12-22 02:22 +0200
                Re: constexpr is really very smart! Tim Rentsch <tr.17687@z991.linuxsc.com> - 2024-12-22 10:33 -0800
                Re: constexpr is really very smart! Michael S <already5chosen@yahoo.com> - 2024-12-23 00:05 +0200
                Re: constexpr is really very smart! Tim Rentsch <tr.17687@z991.linuxsc.com> - 2024-12-22 17:17 -0800
  Re: constexpr is really very smart! Keith Thompson <Keith.S.Thompson+u@gmail.com> - 2024-12-17 12:20 -0800
    Re: constexpr is really very smart! Student Project <student@invalid.invalid> - 2024-12-18 04:45 +0000
      Re: constexpr is really very smart! Michael S <already5chosen@yahoo.com> - 2024-12-18 14:17 +0200

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