`WATER_HASH`

is a translation to Fortran 2008 of the `waterhash`

algorithm
of Tommy Ettinger. Tommy Ettinger's original C++ code, `waterhash.h`

, is
available at the URL: https://github.com/tommyettinger/waterhash under the
`unlicense`

, https://github.com/tommyettinger/waterhash/blob/master/LICENSE.
"`waterhash`

is a variant on Wang Yi's `wyhash`

, with 32 bit output,
using at most 64 bit arithmetic. `wyhash`

is available at the URL:
`https://github.com/wangyi-fudan/wyhash`

also under the unlicense:
`https://github.com/wangyi-fudan/wyhash/blob/master/LICENSE`

.
Original Author: Wang Yi godspeed_china@yeah.net
Waterhash Variant Author: Tommy Ettinger tommy.ettinger@gmail.com

The `unlicense`

reads as follows:
This is free and unencumbered software released into the public domain.

Anyone is free to copy, modify, publish, use, compile, sell, or distribute this software, either in source code form or as a compiled binary, for any purpose, commercial or non-commercial, and by any means.

In jurisdictions that recognize copyright laws, the author or authors of this software dedicate any and all copyright interest in the software to the public domain. We make this dedication for the benefit of the public at large and to the detriment of our heirs and successors. We intend this dedication to be an overt act of relinquishment in perpetuity of all present and future rights to this software under copyright law.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.

For more information, please refer to http://unlicense.org

`WATER_HASH`

is distributed as part of the `stdlib_32_bit_hash_functions.f90`

module and its `stdlib_hash_32bit_water.f90`

submodule with the Fortran
Standard Library at URL: https://github.com/fortran-lang/stdlib.
The Fortran Standard Library, including this code, is distributed under the
MIT License as described in the `LICENSE`

file distributed with the library.
`WATER_HASH`

differs from `waterhash.h`

not only in its use of Fortran,
but also in its use of signed two's complement arithmetic in contrast to
the unsigned arithmetic of Ettinger and Wang Yi, and in making some of the
uses of `TRANSFER`

endian dependent, in an attempt to make the quality of
the hash endian independent. The use of signed arithmetic may change with
the planned introduction of the unsigned BITS datatype in what is currently
known as Fortran 202X.

To be useful this code must be processed by a processor that implements two
Fortran 2008 extensions to Fortran 2003: submodules, and 64 bit (`INT64`

)
integers. The processor must also use two's complement integers
(all Fortran 95+ processors use two's complement arithmetic) with
wrap around overflow at runtime and for BOZ constants. The latest releases
of the following processors are known to implement the required Fortran
2008 extensions and default to runtime wrap around overflow: FLANG,
gfortran, ifort, and NAG Fortran. Older versions of gfortran will require
the compiler flag, `-fno-range-check`

, to ensure wrap around semantics
for BOZ constants, and only versions of the NAG compiler starting with
version 17, have implemented submodules. The latest releases of Cray
Fortran and IBM Fortran are known to implement the Fortran 2008 extensions,
but whether they also implement wrap around overflow is unknown.

This implementation has only been tested on little endian processors. It will generate different hashes on big endian processors, but they are believed to be of comparable quality to those generated for little endian processors.

!!------------------------------------------------------------------------------ !! `WATER_HASH` is a translation to Fortran 2008 of the `waterhash` algorithm !! of Tommy Ettinger. Tommy Ettinger's original C++ code, `waterhash.h`, is !! available at the URL: https://github.com/tommyettinger/waterhash under the !! `unlicense`, https://github.com/tommyettinger/waterhash/blob/master/LICENSE. !! "`waterhash` is a variant on Wang Yi's `wyhash`, with 32 bit output, !! using at most 64 bit arithmetic. `wyhash` is available at the URL: !! `https://github.com/wangyi-fudan/wyhash` also under the unlicense: !! `https://github.com/wangyi-fudan/wyhash/blob/master/LICENSE`. !! Original Author: Wang Yi <godspeed_china@yeah.net> !! Waterhash Variant Author: Tommy Ettinger <tommy.ettinger@gmail.com> !! !! The `unlicense` reads as follows: !! This is free and unencumbered software released into the public domain. !! !! Anyone is free to copy, modify, publish, use, compile, sell, or !! distribute this software, either in source code form or as a compiled !! binary, for any purpose, commercial or non-commercial, and by any !! means. !! !! In jurisdictions that recognize copyright laws, the author or authors !! of this software dedicate any and all copyright interest in the !! software to the public domain. We make this dedication for the benefit !! of the public at large and to the detriment of our heirs and !! successors. We intend this dedication to be an overt act of !! relinquishment in perpetuity of all present and future rights to this !! software under copyright law. !! !! THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, !! EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF !! MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. !! IN NO EVENT SHALL THE AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR !! OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, !! ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR !! OTHER DEALINGS IN THE SOFTWARE. !! !! For more information, please refer to <http://unlicense.org> !! !! `WATER_HASH` is distributed as part of the `stdlib_32_bit_hash_functions.f90` !! module and its `stdlib_hash_32bit_water.f90` submodule with the Fortran !! Standard Library at URL: https://github.com/fortran-lang/stdlib. !! The Fortran Standard Library, including this code, is distributed under the !! MIT License as described in the `LICENSE` file distributed with the library. !! `WATER_HASH` differs from `waterhash.h` not only in its use of Fortran, !! but also in its use of signed two's complement arithmetic in contrast to !! the unsigned arithmetic of Ettinger and Wang Yi, and in making some of the !! uses of `TRANSFER` endian dependent, in an attempt to make the quality of !! the hash endian independent. The use of signed arithmetic may change with !! the planned introduction of the unsigned BITS datatype in what is currently !! known as Fortran 202X. !! !! To be useful this code must be processed by a processor that implements two !! Fortran 2008 extensions to Fortran 2003: submodules, and 64 bit (`INT64`) !! integers. The processor must also use two's complement integers !! (all Fortran 95+ processors use two's complement arithmetic) with !! wrap around overflow at runtime and for BOZ constants. The latest releases !! of the following processors are known to implement the required Fortran !! 2008 extensions and default to runtime wrap around overflow: FLANG, !! gfortran, ifort, and NAG Fortran. Older versions of gfortran will require !! the compiler flag, `-fno-range-check`, to ensure wrap around semantics !! for BOZ constants, and only versions of the NAG compiler starting with !! version 17, have implemented submodules. The latest releases of Cray !! Fortran and IBM Fortran are known to implement the Fortran 2008 extensions, !! but whether they also implement wrap around overflow is unknown. !! !! This implementation has only been tested on little endian processors. It !! will generate different hashes on big endian processors, but they are !! believed to be of comparable quality to those generated for little endian !! processors. !! !! No version of this hash is suitable as a cryptographic hash. !!------------------------------------------------------------------------------ #! Integer kinds to be considered during templating #:set INT_KINDS = ["int16", "int32", "int64"] submodule(stdlib_hash_32bit) stdlib_hash_32bit_water implicit none contains pure module function int8_water_hash( key, seed ) result(hash_code) integer(int32) :: hash_code integer(int8), intent(in) :: key(0:) integer(int64), intent(in) :: seed integer(int32) :: dummy(2) integer(int64) :: h integer(int64) :: i integer(int64) :: len integer(int64), parameter :: & waterp0 = int(z'a0761d65', kind=int64), & waterp1 = int(z'e7037ed1', kind=int64), & waterp2 = int(z'8ebc6af1', kind=int64), & waterp3 = int(z'589965cd', kind=int64), & waterp4 = int(z'1d8e4e27', kind=int64), & waterp5 = int(z'eb44accb', kind=int64) len = size(key, kind=int64) h = seed do i = 0_int64, len-16, 16 h = watermum(watermum(ieor(waterr32(key(i:)),waterp1), & ieor(waterr32(key(i+4:)),waterp2)) + h, & watermum(ieor(waterr32(key(i+8:)),waterp3), & ieor(waterr32(key(i+12:)),waterp4))) end do h = h + waterp5 select case( iand(len, 15_int64) ) case(1) h = watermum(ieor(waterp2, h), & ieor(waterr08(key(i:)), waterp1)) case(2) h = watermum(ieor(waterp3, h), & ieor(waterr16(key(i:)), waterp4)) case(3) h = watermum(ieor(waterr16(key(i:)), h), & ieor(waterr08(key(i+2:)), waterp2)) case(4) h = watermum(ieor(waterr16(key(i:)), h), & ieor(waterr16(key(i+2:)), waterp3)) case(5) h = watermum(ieor(waterr32(key(i:)), h), & ieor(waterr08(key(i+4:)), waterp1)) case(6) h = watermum(ieor(waterr32(key(i:)), h), & ieor(waterr16(key(i+4:)), waterp1)) case(7) h = watermum(ieor(waterr32(key(i:)), h), & ieor(ior(ishft(waterr16(key(i+4:)), 8), & waterr08(key(i+6:))), waterp1)) case(8) h = watermum(ieor(waterr32(key(i:)), h), & ieor(waterr32(key(i+4:)), waterp0)) case(9) h = ieor(watermum(ieor(waterr32(key(i:)), h), & ieor(waterr32(key(i+4:)), waterp2)), & watermum(ieor(h, waterp4), & ieor(waterr08(key(i+8:)), waterp3))) case(10) h = ieor(watermum(ieor(waterr32(key(i:)), h), & ieor(waterr32(key(i+4:)), waterp2)), & watermum(h, ieor(waterr16(key(i+8:)), waterp3))) case(11) h = ieor(watermum(ieor(waterr32(key(i:)), h), & ieor(waterr32(key(i+4:)), waterp2)), & watermum(h, & ieor(ior(ishft(waterr16(key(i+8:)),8), & waterr08(key(i+10:))), & waterp3))) case(12) h = ieor(watermum(ieor(waterr32(key(i:)), h), & ieor(waterr32(key(i+4:)), waterp2)), & watermum(ieor(h, waterr32(key(i+8:))), & waterp4)) case(13) h = ieor(watermum(ieor(waterr32(key(i:)), h), & ieor(waterr32(key(i+4:)), waterp2)), & watermum(ieor(h, waterr32(key(i+8:))), & ieor(waterr08(key(i+12:)), waterp4))) case(14) h = ieor(watermum(ieor(waterr32(key(i:)), h), & ieor(waterr32(key(i+4:)), waterp2)), & watermum(ieor(h, waterr32(key(i+8:))), & ieor(waterr16(key(i+12:)), waterp4))) case(15) h = ieor(watermum(ieor(waterr32(key(i:)), h), & ieor(waterr32(key(i+4:)), waterp2)), & watermum(ieor(h, waterr32(key(i+8:))), & ieor(ior(ishft(waterr16(key(i+12:)),8), & waterr08(key(i+14:))), & waterp4))) end select h = ieor( h, ishft(h,16) ) * ieor( len, waterp0 ) h = h - ishft( h, -32 ) dummy(1:2) = transfer(h, dummy, 2) if (little_endian) then hash_code = dummy(1) else hash_code = dummy(2) end if contains pure function watermum( a, b ) result(r) integer(int64) :: r integer(int64), intent(in) :: a, b r = a * b r = r - ishft(r, -32) end function watermum pure function waterr08( p ) result(v) integer(int64) :: v integer(int8), intent(in) :: p(:) if (little_endian) then v = transfer( [ p(1), 0_int8, 0_int8, 0_int8, & 0_int8, 0_int8, 0_int8, 0_int8 ], v ) else v = transfer( [ 0_int8, 0_int8, 0_int8, 0_int8, & 0_int8, 0_int8, 0_int8, p(1) ], v ) end if end function waterr08 pure function waterr16( p ) result(v) integer(int64) :: v integer(int8), intent(in) :: p(:) if (little_endian) then v = transfer( [ p(1), p(2), 0_int8, 0_int8, & 0_int8, 0_int8, 0_int8, 0_int8 ], v ) else v = transfer( [ 0_int8, 0_int8, 0_int8, 0_int8, & 0_int8, 0_int8, p(2), p(1) ], v ) end if end function waterr16 pure function waterr32( p ) result(v) integer(int64) :: v integer(int8), intent(in) :: p(:) if (little_endian) then v = transfer( [ p(1), p(2), p(3), p(4), & 0_int8, 0_int8, 0_int8, 0_int8 ], v ) else v = transfer( [ 0_int8, 0_int8, 0_int8, 0_int8, & p(4), p(3), p(2), p(1) ], v ) end if end function waterr32 end function int8_water_hash #:for k1 in INT_KINDS pure module function ${k1}$_water_hash( key, seed ) result(hash_code) integer(${k1}$), intent(in) :: key(:) integer(int64), intent(in) :: seed integer(int_hash) :: hash_code hash_code = int8_water_hash( transfer( key, 0_int8, & bytes_${k1}$*size(key, kind=int64) ), seed) end function ${k1}$_water_hash #:endfor elemental module function character_water_hash( key, seed ) & result(hash_code) character(*), intent(in) :: key integer(int64), intent(in) :: seed integer(int_hash) :: hash_code hash_code = int8_water_hash( transfer( key, 0_int8, & bytes_char*len(key, kind=int64) ), seed) end function character_water_hash module subroutine new_water_hash_seed( seed ) integer(int64), intent(inout) :: seed integer(int64) :: old_seed real(dp) :: sample(2) integer(int32) :: part(2) old_seed = seed find_seed:do call random_number( sample ) part = int( floor( sample * 2_int64**32, int64 ) - 2_int64**31, & int32 ) seed = transfer( part, seed ) if ( seed /= old_seed ) return end do find_seed end subroutine new_water_hash_seed end submodule stdlib_hash_32bit_water