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From: Colin Paul Gloster <Colin_Paul_Gloster@ACM.org>
Subject: Re: Is there an Ada compiler whose Ada.Numerics.Generic_Elementary_Functions.Log(Base=>10, X=>variable) is efficient?
Date: Tue, 16 Feb 2010 17:33:44 +0000
Date: 2010-02-16T17:33:44+00:00	[thread overview]
Message-ID: <alpine.LNX.2.00.1002161654110.21651@Bluewhite64.example.net> (raw)
In-Reply-To: <C79F4257.1365BE%yaldnif.w@blueyonder.co.uk>

On Mon, 15 Feb 2010, William Findlay posted:

|------------------------------------------------------------------------|
|"On 15/02/2010 10:58, in article                                        |
|alpine.LNX.2.00.1002151055530.17315@Bluewhite64.example.net, "Colin Paul|
|Gloster" <Colin_Paul_Gloster@ACM.org> wrote:                            |
|                                                                        |
|> Of the two programs shown, the fastest C++ implementation on one test |
|> platform took less than one millisecond and the fastest Ada           |
|> implementation took one minute and 31 seconds and 874 milliseconds on |
|> the same platform. Both g++ and gnatmake were from the same           |
|> installation of GCC 4.1.2 20080704 (Red Hat 4.1.2-44).                |
|                                                                        |
|Is that 1 millisecond for 1e6 calls?"                                   |
|------------------------------------------------------------------------|

No, that was less than one millisecond for 500 * 10**6 C++ calls.

|------------------------------------------------------------------------|
|" This implies 1ns per call in C++.                                     |
|I find it incredible that a log function could be so fast.              |
|I think the loop body must be evaluated at compile-time in C++."        |
|------------------------------------------------------------------------|

The C++ compiler did manage to eliminate almost everything.

|------------------------------------------------------------------------|
|"On my system your Ada code gives:                                      |
|                                                                        |
|6.34086408536266E+08                                                    |
|                                                                        |
|real    0m33.918s                                                       |
|user    0m33.864s                                                       |
|sys     0m0.025s                                                        |
|                                                                        |
|And your original C++ code gives:                                       |
|                                                                        |
|6.34086e+08                                                             |
|real    0m0.110s                                                        |
|user    0m0.003s                                                        |
|sys     0m0.003s                                                        |
|                                                                        |
|But if I replace the C++ loop body by:                                  |
|                                                                        |
|      for(int j=1; j<=500; ++j)                                         |
|         answer += std::log10(j*0.100000000000000000000);               |
|It now gives:                                                           |
|                                                                        |
|6.34086e+08                                                             |
|real    0m18.112s                                                       |
|user    0m18.082s                                                       |
|sys    0m0.015s                                                         |
|                                                                        |
|This less than twice as fast as the more generalized Ada code.          |
|                                                                        |
|[..]"                                                                   |
|------------------------------------------------------------------------|

Thank you for exposing this flaw in the C++ code.

with Ada.Numerics.Generic_Elementary_Functions;
with Interfaces.C;
with Ada.Text_IO;
procedure Logarithmic_Work_In_Ada_with_a_Findlay_loop is
    answer : Interfaces.C.double := 0.0;
    package double_library is new Ada.Numerics.Generic_Elementary_Functions(Interfaces.C.double);
    package double_output_library is new Ada.Text_IO.Float_IO(Interfaces.C.double);
begin

    for I in 1 .. 1_000_000 loop
       for J in 1 .. 500 loop
          answer := Interfaces.C."+"(
                                     answer, double_library.log(
                                                                Interfaces.C."*"(
                                                                                 Interfaces.C.double(J),
                                                                                 0.100000000000000000000
                                                                                )
                                                                ,
                                                                10.0
                                                               )
                                    );
       end loop;
    end loop;

    double_output_library.Put(answer);
end;

gnatmake -O3 -ffast-math Logarithmic_Work_In_Ada_with_a_Findlay_loop.adb -o Logarithmic_Work_In_Ada_with_a_Findlay_loop_compiled_by_GCC4.4.3_with_-ffast-math

time ./Logarithmic_Work_In_Ada_with_a_Findlay_loop_compiled_by_GCC4.4.3_with_-ffast-math
  6.34086408606382E+08

real    0m31.091s
user    0m31.090s
sys     0m0.004s

time ./Logarithmic_Work_In_Ada_with_a_Findlay_loop_compiled_by_GCC4.4.3_with_-ffast-math
  6.34086408606382E+08

real    0m31.094s
user    0m31.094s
sys     0m0.004s


gnatmake -O3 Logarithmic_Work_In_Ada_with_a_Findlay_loop.adb -o Logarithmic_Work_In_Ada_with_a_Findlay_loop_compiled_by_GCC4.4.3

  6.34086408606382E+08

real    0m31.388s
user    0m31.378s
sys     0m0.008s


g++ -O3 -ffast-math logarithmic_work_in_CPlusPlus_with_a_Findlay_loop.cc -o logarithmic_work_in_CPlusPlus_with_a_Findlay_loop_compiled_by_GCC4.4.3_with_-ffast-math

  time ./logarithmic_work_in_CPlusPlus_with_a_Findlay_loop_compiled_by_GCC4.4.3_with_-ffast-math
6.34086e+08
real    0m38.388s
user    0m38.390s
sys     0m0.000s

time ./logarithmic_work_in_CPlusPlus_with_a_Findlay_loop_compiled_by_GCC4.4.3_with_-ffast-math
6.34086e+08
real    0m38.547s
user    0m38.546s
sys     0m0.000s


g++ -O3 logarithmic_work_in_CPlusPlus_with_a_Findlay_loop.cc -o logarithmic_work_in_CPlusPlus_with_a_Findlay_loop_compiled_by_GCC4.4.3

time ./logarithmic_work_in_CPlusPlus_with_a_Findlay_loop_compiled_by_GCC4.4.3
6.34086e+08
real    0m38.428s
user    0m38.426s
sys     0m0.004s






with Ada.Numerics.Generic_Elementary_Functions;
with Interfaces.C;
with Ada.Text_IO;
procedure Logarithmic_Work_In_Ada_with_a_Findlay_loop_with_a_Parker_GNATism is
    Log_Base_10_Of_The_Base_Of_The_Natural_Logarithm : constant Interfaces.C.Double := 0.434_294_481_903_251_827_651_129;

    answer : Interfaces.C.double := 0.0;
    package double_library is new Ada.Numerics.Generic_Elementary_Functions(Interfaces.C.double);
    package double_output_library is new Ada.Text_IO.Float_IO(Interfaces.C.double);
begin

    for I in 1 .. 1_000_000 loop
       for J in 1 .. 500 loop
          answer := Interfaces.C."+"
                                   (
                                     answer, Interfaces.C."*"
                                                            (
                                                              double_library.Log
                                                                               (
                                                                                 Interfaces.C."*"
                                                                                                (
                                                                                                  Interfaces.C.double(J),
                                                                                                  0.100000000000000000000
                                                                                                )
                                                                               )
                                                              ,
                                                              Log_Base_10_Of_The_Base_Of_The_Natural_Logarithm
                                                            )
                                   );
       end loop;
    end loop;

    double_output_library.Put(answer);
end;



gnatmake -O3 -ffast-math   Logarithmic_Work_In_Ada_with_a_Findlay_loop_with_a_Parker_GNATism_compiled_by_GCC4.4.3_with_-ffast-math.adb -o   Logarithmic_Work_In_Ada_with_a_Findlay_loop_with_a_Parker_GNATism_compiled_by_GCC4.4.3_with_-ffast-math

  time ./Logarithmic_Work_In_Ada_with_a_Findlay_loop_with_a_Parker_GNATism_compiled_by_GCC4.4.3_with_-ffast-math
  6.34086408606382E+08

real    0m14.434s
user    0m14.433s
sys     0m0.004s
-bash bluewhite64 /home/Colin_Paul/logarithms $


-bash bluewhite64 /home/Colin_Paul/logarithms $
  gnatmake -O3 Logarithmic_Work_In_Ada_with_a_Findlay_loop_with_a_Parker_GNATism.adb -o Logarithmic_Work_In_Ada_with_a_Findlay_loop_with_a_Parker_GNATism_compiled_by_GCC4.4.3

  time ./Logarithmic_Work_In_Ada_with_a_Findlay_loop_with_a_Parker_GNATism_compiled_by_GCC4.4.3
  6.34086408606382E+08

real    0m14.450s
user    0m14.453s
sys     0m0.000s



  parent reply	other threads:[~2010-02-16 17:33 UTC|newest]

Thread overview: 21+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2010-02-15 10:58 Is there an Ada compiler whose Ada.Numerics.Generic_Elementary_Functions.Log(Base=>10, X=>variable) is efficient? Colin Paul Gloster
2010-02-15 13:02 ` John B. Matthews
2010-02-15 14:17   ` Colin Paul Gloster
2010-02-15 17:19     ` John B. Matthews
2010-02-15 14:54 ` jonathan
2010-02-15 15:04   ` jonathan
2010-02-15 19:50     ` sjw
2010-02-16 16:50       ` Colin Paul Gloster
2010-02-15 18:26 ` (see below)
2010-02-15 18:51   ` jonathan
2010-02-15 20:00   ` sjw
2010-02-15 21:17     ` jonathan
2010-02-16  0:09       ` jonathan
2010-02-16 17:33   ` Colin Paul Gloster [this message]
2010-02-24 10:07     ` Colin Paul Gloster
2010-02-15 23:04 ` Jeffrey R. Carter
2010-02-16 14:54   ` Colin Paul Gloster
2010-02-16 15:24     ` Colin Paul Gloster
2010-02-16 19:01     ` Jeffrey R. Carter
2010-02-17 10:25       ` Colin Paul Gloster
2010-02-15 23:20 ` Randy Brukardt
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