Posts for the month of January 2012

C/C++ trick: static string hash generation

I am always interested in having the compiler do more things for me, without giving away code clarity or performance for the convenience. Today a colleague linked me to Pope Kim's Compile-Time Hash String Generation article which is a perfect example of the things I like: hidden syntactic sugar that does useful things.

Inline hash function

The goal: for a given hash function, write something like HASH_STRING("funny_bone") in the code, and have the compiler directly replace it with the result, 0xf1c6fd7f.

The solution: inline the function and hope that the compiler will be clever enough.

#include <string.h>
#define HASH(str) generateHash(str, strlen(str))

inline unsigned int generateHash(const char *string, size_t len)
    unsigned int hash = 0;
    for(size_t i = 0; i < len; ++i)
        hash = 65599 * hash + string[i];
    return hash ^ (hash >> 16);

Unfortunately Pope ran into several very problematic issues:

  • requires heavy optimisation flags (/O2 with Visual Studio, -O3 with g++)
  • limited to 10-character strings with Visual Studio
  • limited to 17-character strings with g++

I could personally reproduce the g++ limitations. I believe they are more related to loop unrolling limits than to the actual string size, but they indeed make the technique unusable in practice.

Macro-based hash function

If you read my previous article about C/C++ preprocessor LUT generation, you may remember that it used preprocessor tricks to do loop unrolling.

Hence the following implementation:

#include <string.h>
#include <stdint.h>
#include <stdio.h>

#define H1(s,i,x)   (x*65599u+(uint8_t)s[(i)<strlen(s)?strlen(s)-1-(i):strlen(s)])
#define H4(s,i,x)   H1(s,i,H1(s,i+1,H1(s,i+2,H1(s,i+3,x))))
#define H16(s,i,x)  H4(s,i,H4(s,i+4,H4(s,i+8,H4(s,i+12,x))))
#define H64(s,i,x)  H16(s,i,H16(s,i+16,H16(s,i+32,H16(s,i+48,x))))
#define H256(s,i,x) H64(s,i,H64(s,i+64,H64(s,i+128,H64(s,i+192,x))))

#define HASH(s)    ((uint32_t)(H256(s,0,0)^(H256(s,0,0)>>16)))

It has the following properties:

  • works in C in addition to C++
  • strings are always optimised away by gcc or g++ (but not always the computation itself)
  • hash computation is optimised away by gcc or g++ even with -O, -O1 or -Os
  • string size limit is 256 characters (probably more than enough for most uses) and can be manually increased or decreased

The following code:

int main(void)
    printf("%08x\n", HASH("funny_bone"));
    printf("%08x\n", HASH("incredibly_large_string_that_gcc_groks_easily"));

Is (correctly) optimised to this with gcc -Os:

  movl    $-238617217, %esi
  movl    $.LC0, %edi
  xorl    %eax, %eax
  call    printf
  movl    $-453669173, %esi
  movl    $.LC0, %edi
  xorl    %eax, %eax
  call    printf

I haven't tested it with Visual Studio. Feedback from this compiler would be very appreciated!

  • Posted: 2012-01-12 18:05 (Updated: 2012-01-12 18:07)
  • Author: sam
  • Categories: code tip
  • Comments (3944)

Announce: LolRemez 0.2 released

A new version of our high precision polynomial approximation solver, LolRemez 0.2, is available.

The changes, taking into account all the feedback users provided, are as follows:

  • significant performance and accuracy improvements thanks to various bugfixes and a better extrema finder for the error function.
  • user can now define accuracy of the final result.
  • exp, sin, cos and tan are now about 20% faster.
  • multiplying a real number by an integer power of two is now a virtually free operation.
  • fixed a rounding bug in the real number printing routine.

You can visit the software homepage to download LolRemez and, more importantly, the comprehensive documentation featuring a step-by-step tutorial.