Copyright 2000-2004, 2006, 2008, 2009 Free Software Foundation, Inc.
This file is part of the GNU MP Library.
The GNU MP Library is free software; you can redistribute it and/or modify
it under the terms of either:
* the GNU Lesser General Public License as published by the Free
Software Foundation; either version 3 of the License, or (at your
option) any later version.
or
* the GNU General Public License as published by the Free Software
Foundation; either version 2 of the License, or (at your option) any
later version.
or both in parallel, as here.
The GNU MP Library is distributed in the hope that it will be useful, but
WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received copies of the GNU General Public License and the
GNU Lesser General Public License along with the GNU MP Library. If not,
see https://www.gnu.org/licenses/.
These are itemized GMP development tasks. Not all the tasks listed here are suitable for volunteers, but many of them are. Please see the projects file for more sizeable projects.
CAUTION: This file needs updating. Many of the tasks here have either already been taken care of, or have become irrelevant.
_LONG_LONG_LIMB in gmp.h is not namespace clean. Reported
by Patrick Pelissier.
_LONG_LONG_LIMB in past releases, so
need to be careful about changing it. It used to be a define
applications had to set for long long limb systems, but that in
particular is no longer relevant now that it's established automatically.
_mpz_realloc with a small (1 limb) size.
mpz_XXX(a,a,a).
mpf_eq is not always correct, when one operand is
1000000000... and the other operand is 0111111111..., i.e., extremely
close. There is a special case in mpf_sub for this
situation; put similar code in mpf_eq. [In progress.]
mpf_eq doesn't implement what gmp.texi specifies. It should
not use just whole limbs, but partial limbs. [In progress.]
mpf_set_str doesn't validate it's exponent, for instance
garbage 123.456eX789X is accepted (and an exponent 0 used), and overflow
of a long is not detected.
mpf_add doesn't check for a carry from truncated portions of
the inputs, and in that respect doesn't implement the "infinite precision
followed by truncate" specified in the manual.
mpz_add etc, which doesn't work
when those routines are coming from a DLL (because they're effectively
function pointer global variables themselves). Need to rearrange perhaps
to a set of calls to a test function rather than iterating over an array.
mpz_pow_ui: Detect when the result would be more memory than
a size_t can represent and raise some suitable exception,
probably an alloc call asking for SIZE_T_MAX, and if that
somehow succeeds then an abort. Various size overflows of
this kind are not handled gracefully, probably resulting in segvs.
mpz_n_pow_ui, detect when the count of low zero bits
exceeds an unsigned long. There's a (small) chance of this
happening but still having enough memory to represent the value.
Reported by Winfried Dreckmann in for instance mpz_ui_pow_ui (x,
4UL, 1431655766UL).
mpf: Detect exponent overflow and raise some exception.
It'd be nice to allow the full mp_exp_t range since that's
how it's been in the past, but maybe dropping one bit would make it
easier to test if e1+e2 goes out of bounds.
mpf_cmp: For better cache locality, don't test for low zero
limbs until the high limbs fail to give an ordering. Reduce code size by
turning the three mpn_cmp's into a single loop stopping when
the end of one operand is reached (and then looking for a non-zero in the
rest of the other).
mpf_mul_2exp, mpf_div_2exp: The use of
mpn_lshift for any size<=prec means repeated
mul_2exp and div_2exp calls accumulate low zero
limbs until size==prec+1 is reached. Those zeros will slow down
subsequent operations, especially if the value is otherwise only small.
If low bits of the low limb are zero, use mpn_rshift so as
to not increase the size.
mpn_dc_sqrtrem, mpn_sqrtrem2: Don't use
mpn_add_1 and mpn_sub_1 for 1 limb operations,
instead ADDC_LIMB and SUBC_LIMB.
mpn_sqrtrem2: Use plain variables for sp[0] and
rp[0] calculations, so the compiler needn't worry about
aliasing between sp and rp.
mpn_sqrtrem: Some work can be saved in the last step when
the remainder is not required, as noted in Paul's paper.
mpq_add, mpq_sub: The gcd fits a single limb
with high probability and in this case binvert_limb could
be used to calculate the inverse just once for the two exact divisions
"op1.den / gcd" and "op2.den / gcd", rather than letting
mpn_bdiv_q_1 do it each time. This would require calling
mpn_pi1_bdiv_q_1.
mpn_gcdext: Don't test count_leading_zeros for
zero, instead check the high bit of the operand and avoid invoking
count_leading_zeros. This is an optimization on all
machines, and significant on machines with slow
count_leading_zeros, though it's possible an already
normalized operand might not be encountered very often.
umul_ppmm to use floating-point for generating the
most significant limb (if GMP_LIMB_BITS <= 52 bits).
(Peter Montgomery has some ideas on this subject.)
umul_ppmm code in longlong.h: Add partial
products with fewer operations.
mpz_set_ui. This would be both small and
fast, especially for compile-time constants, but would make application
binaries depend on having 1 limb allocated to an mpz_t,
preventing the "lazy" allocation scheme below.
mpz_[cft]div_ui and maybe
mpz_[cft]div_r_ui. A __gmp_divide_by_zero
would be needed for the divide by zero test, unless that could be left to
mpn_mod_1 (not sure currently whether all the risc chips
provoke the right exception there if using mul-by-inverse).
mpz_fits_s*_p. The setups for
LONG_MAX etc would need to go into gmp.h, and on Cray it
might, unfortunately, be necessary to forcibly include <limits.h>
since there's no apparent way to get SHRT_MAX with an
expression (since short and unsigned short can
be different sizes).
mpz_powm and mpz_powm_ui aren't very fast on one
or two limb moduli, due to a lot of function call overheads. These could
perhaps be handled as special cases.
mpz_powm_ui is never slower than the corresponding
computation using mpz_powm.
mpz_powm REDC should do multiplications by g[]
using the division method when they're small, since the REDC form of a
small multiplier is normally a full size product. Probably would need a
new tuned parameter to say what size multiplier is "small", as a function
of the size of the modulus.
mpn_gcd might be able to be sped up on small to moderate
sizes by improving find_a, possibly just by providing an
alternate implementation for CPUs with slowish
count_leading_zeros.
mpf_set_str produces low zero limbs when a string has a
fraction but is exactly representable, eg. 0.5 in decimal. These could be
stripped to save work in later operations.
mpz_and, mpz_ior and mpz_xor should
use mpn_and_n etc for the benefit of the small number of
targets with native versions of those routines. Need to be careful not to
pass size==0. Is some code sharing possible between the mpz
routines?
mpf_add: Don't do a copy to avoid overlapping operands
unless it's really necessary (currently only sizes are tested, not
whether r really is u or v).
mpf_add: Under the check for v having no effect on the
result, perhaps test for r==u and do nothing in that case, rather than
currently it looks like an MPN_COPY_INCR will be done to
reduce prec+1 limbs to prec.
mpf_div_ui: Instead of padding with low zeros, call
mpn_divrem_1 asking for fractional quotient limbs.
mpf_div_ui: Eliminate TMP_ALLOC. When r!=u
there's no overlap and the division can be called on those operands.
When r==u and is prec+1 limbs, then it's an in-place division. If r==u
and not prec+1 limbs, then move the available limbs up to prec+1 and do
an in-place there.
mpf_div_ui: Whether the high quotient limb is zero can be
determined by testing the dividend for high<divisor. When non-zero, the
division can be done on prec dividend limbs instead of prec+1. The result
size is also known before the division, so that can be a tail call (once
the TMP_ALLOC is eliminated).
mpn_divrem_2 could usefully accept unnormalized divisors and
shift the dividend on-the-fly, since this should cost nothing on
superscalar processors and avoid the need for temporary copying in
mpn_tdiv_qr.
mpf_sqrt: If r!=u, and if u doesn't need to be padded with
zeros, then there's no need for the tp temporary.
mpq_cmp_ui could form the num1*den2 and
num2*den1 products limb-by-limb from high to low and look at
each step for values differing by more than the possible carry bit from
the uncalculated portion.
mpq_cmp could do the same high-to-low progressive multiply
and compare. The benefits of karatsuba and higher multiplication
algorithms are lost, but if it's assumed only a few high limbs will be
needed to determine an order then that's fine.
mpn_add_1, mpn_sub_1, mpn_add,
mpn_sub: Internally use __GMPN_ADD_1 etc
instead of the functions, so they get inlined on all compilers, not just
gcc and others with inline recognised in gmp.h.
__GMPN_ADD_1 etc are meant mostly to support application
inline mpn_add_1 etc and if they don't come out good for
internal uses then special forms can be introduced, for instance many
internal uses are in-place. Sometimes a block of code is executed based
on the carry-out, rather than using it arithmetically, and those places
might want to do their own loops entirely.
__gmp_extract_double on 64-bit systems could use just one
bitfield for the mantissa extraction, not two, when endianness permits.
Might depend on the compiler allowing long long bit fields
when that's the only actual 64-bit type.
TMP_FREE releases all memory, so
there's an allocate and free every time a top-level function using
TMP is called. Would need
mp_set_memory_functions to tell tal-notreent.c to release
any cached memory when changing allocation functions though.
__gmp_tmp_alloc from tal-notreent.c could be partially
inlined. If the current chunk has enough room then a couple of pointers
can be updated. Only if more space is required then a call to some sort
of __gmp_tmp_increase would be needed. The requirement that
TMP_ALLOC is an expression might make the implementation a
bit ugly and/or a bit sub-optimal.
#define TMP_ALLOC(n)
((ROUND_UP(n) > current->end - current->point ?
__gmp_tmp_increase (ROUND_UP (n)) : 0),
current->point += ROUND_UP (n),
current->point - ROUND_UP (n))
__mp_bases has a lot of data for bases which are pretty much
never used. Perhaps the table should just go up to base 16, and have
code to generate data above that, if and when required. Naturally this
assumes the code would be smaller than the data saved.
__mp_bases field big_base_inverted is only used
if USE_PREINV_DIVREM_1 is true, and could be omitted
otherwise, to save space.
mpz_get_str, mtox: For power-of-2 bases, which
are of course fast, it seems a little silly to make a second pass over
the mpn_get_str output to convert to ASCII. Perhaps combine
that with the bit extractions.
mpz_gcdext: If the caller requests only the S cofactor (of
A), and A<B, then the code ends up generating the cofactor T (of B) and
deriving S from that. Perhaps it'd be possible to arrange to get S in
the first place by calling mpn_gcdext with A+B,B. This
might only be an advantage if A and B are about the same size.
mpz_n_pow_ui does a good job with small bases and stripping
powers of 2, but it's perhaps a bit too complicated for what it gains.
The simpler mpn_pow_1 is a little faster on small exponents.
(Note some of the ugliness in mpz_n_pow_ui is due to
supporting mpn_mul_2.)
mpz_n_pow_ui should be
confined to single limb operands for simplicity and since that's where
the greatest gain would be.
mpn_pow_1 and mpz_n_pow_ui would be
merged. The reason mpz_n_pow_ui writes to an
mpz_t is that its callers leave it to make a good estimate
of the result size. Callers of mpn_pow_1 already know the
size by separate means (mp_bases).
mpz_invert should call mpn_gcdext directly.
invert_limb on various processors might benefit from the
little Newton iteration done for alpha and ia64.
mpn_addlsh1_n could be implemented with
mpn_addmul_1, since that code at 3.5 is a touch faster than
a separate lshift and add_n at
1.75+2.125=3.875. Or very likely some specific addlsh1_n
code could beat both.
mpn_mul_1,
mpn_addmul_1, and mpn_submul_1.
mpn_mul_1, mpn_addmul_1,
and mpn_submul_1 for the 21164. This should use both integer
multiplies and floating-point multiplies. For the floating-point
operations, the single-limb multiplier should be split into three 21-bit
chunks, or perhaps even better in four 16-bit chunks. Probably possible
to reach 9 cycles/limb.
__builtin_ctzl,
__builtin_clzl and __builtin_popcountl using
the corresponding CIX ct instructions, and
__builtin_alpha_cmpbge. These should give GCC more
information about scheduling etc than the asm blocks
currently used in longlong.h and gmp-impl.h.
alloca on this system,
making configure choose the slower
malloc-reentrant allocation method. Is there a better way?
Maybe variable-length arrays per notes below.
.align is not used since it pads
with garbage. Does the code get the intended slotting required for the
claimed speeds? .align at the start of a function would
presumably be safe no matter how it pads.
count_leading_zeros can use the clz
instruction. For GCC 3.4 and up, do this via __builtin_clzl
since then gcc knows it's "predicable".
__builtin_popcount which can be
used instead of an asm block. The builtin should give gcc
more opportunities for scheduling, bundling and predication.
__builtin_ctz similarly (it just uses popcount as per
current longlong.h).
mpn_mul_1, mpn_addmul_1,
for s2 < 2^32 (or perhaps for any zero 16-bit s2 chunk). Not sure how
much this can improve the speed, though, since the symmetry that we rely
on is lost. Perhaps we can just gain cycles when s2 < 2^16, or more
accurately, when two 16-bit s2 chunks which are 16 bits apart are zero.
mpn_submul_1, analogous to
mpn_addmul_1.
umul_ppmm. Using four
"mulx"s either with an asm block or via the generic C code is
about 90 cycles. Try using fp operations, and also try using karatsuba
for just three "mulx"s.
mpn_lshift, mpn_rshift.
Will give 2 cycles/limb. Trivial modifications of mpn/sparc64 should do.
mulx for umul_ppmm if
possible (see commented out code in longlong.h). This is unlikely to
save more than a couple of cycles, so perhaps isn't worth bothering with.
__sparc_v9__
or anything to indicate V9 support when -mcpu=v9 is selected. See
gcc/config/sol2-sld-64.h. Will need to pass something through from
./configure to select the right code in longlong.h. (Currently nothing
is lost because mulx for multiplying is commented out.)
mpn_divexact_1 and
mpn_modexact_1c_odd can use a 64-bit inverse and take
64-bits at a time from the dividend, as per the 32-bit divisor case in
mpn/sparc64/mode1o.c. This must be done in assembler, since the full
64-bit registers (%gN) are not available from C.
mpn_divexact_by3c can work 64-bits at a time
using mulx, in assembler. This would be the same as for
sparc64.
binvert_limb might save a few cycles from
masking down to just the useful bits at each point in the calculation,
since mulx speed depends on the highest bit set. Either
explicit masks or small types like short and
int ought to work.
popc: This chip reputedly implements
popc properly (see gcc sparc.md). Would need to recognise
it as sparchalr1 or something in configure / config.sub /
config.guess. popc_limb in gmp-impl.h could use this (per
commented out code). count_trailing_zeros could use it too.
mpn_addmul_1, mpn_submul_1, and
mpn_mul_1. The current code runs at 11 cycles/limb. It
should be possible to saturate the cache, which will happen at 8
cycles/limb (7.5 for mpn_mul_1). Write special loops for s2 < 2^32;
it should be possible to make them run at about 5 cycles/limb.
powerpc*.
mpn_addmul_1, mpn_submul_1, and
mpn_mul_1. Use both integer and floating-point operations,
possibly two floating-point and one integer limb per loop. Split operands
into four 16-bit chunks for fast fp operations. Should easily reach 9
cycles/limb (using one int + one fp), but perhaps even 7 cycles/limb
(using one int + two fp).
mpn_rshift could do the same sort of unrolled loop
as mpn_lshift. Some judicious use of m4 might let the two
share source code, or with a register to control the loop direction
perhaps even share object code.
mpn_mul_basecase and mpn_sqr_basecase
for important machines. Helping the generic sqr_basecase.c with an
mpn_sqr_diagonal might be enough for some of the RISCs.
mpn_lshift/mpn_rshift.
Will bring time from 1.75 to 1.25 cycles/limb.
mpn_lshift for shifts by 1. (See
Pentium code.)
rep
movs would upset GCC register allocation for the whole function.
Is this still true in GCC 3? It uses rep movs itself for
__builtin_memcpy. Examine the code for some simple and
complex functions to find out. Inlining rep movs would be
desirable, it'd be both smaller and faster.
mpn_lshift and mpn_rshift can come
down from 6.0 c/l to 5.5 or 5.375 by paying attention to pairing after
shrdl and shldl, see mpn/x86/pentium/README.
mpn_lshift and mpn_rshift
might benefit from some destination prefetching.
mpn_divrem_1 might be able to use a
mul-by-inverse, hoping for maybe 30 c/l.
mpn_lshift and mpn_rshift might be able to
do something branch-free for unaligned startups, and shaving one insn
from the loop with alternative indexing might save a cycle.
mpn_lshift.
The pipeline is now extremely deep, perhaps unnecessarily deep.
mpn_mul_basecase and
mpn_sqr_basecase. This should use a "vertical multiplication
method", to avoid carry propagation. splitting one of the operands in
11-bit chunks.
mpn_lshift by 31 should use the special rshift
by 1 code, and vice versa mpn_rshift by 31 should use the
special lshift by 1. This would be best as a jump across to the other
routine, could let both live in lshift.asm and omit rshift.asm on finding
mpn_rshift already provided.
mpn_com and mpn_and_n etc very probably
wants a pragma like MPN_COPY_INCR.
mpn_lshift, mpn_rshift,
mpn_popcount and mpn_hamdist are nice and small
and could be inlined to avoid function calls.
TMP_ALLOC to use them, or introduce a new scheme. Memory
blocks wanted unconditionally are easy enough, those wanted only
sometimes are a problem. Perhaps a special size calculation to ask for a
dummy length 1 when unwanted, or perhaps an inlined subroutine
duplicating code under each conditional. Don't really want to turn
everything into a dog's dinner just because Cray don't offer an
alloca.
mpn_get_str on power-of-2 bases ought to vectorize.
Does it? bits_per_digit and the inner loop over bits in a
limb might prevent it. Perhaps special cases for binary, octal and hex
would be worthwhile (very possibly for all processors too).
BSWAP_LIMB_FETCH looks like it could be done with
lrvg, as per glibc sysdeps/s390/s390-64/bits/byteswap.h.
This is only for 64-bit mode or something is it, since 32-bit mode has
other code? Also, is it worth using for BSWAP_LIMB too, or
would that mean a store and re-fetch? Presumably that's what comes out
in glibc.
count_leading_zeros for 64-bit machines:
if ((x >> 32) == 0) { x <<= 32; cnt += 32; }
if ((x >> 48) == 0) { x <<= 16; cnt += 16; }
...
__inline which could perhaps
be used in __GMP_EXTERN_INLINE. What would be the right way
to identify suitable versions of that compiler?
cc is rumoured to have an _int_mult_upper
(in <intrinsics.h> like Cray), but it didn't seem to
exist on some IRIX 6.5 systems tried. If it does actually exist
somewhere it would very likely be an improvement over a function call to
umul.asm.
mpn_get_str final divisions by the base with
udiv_qrnd_unnorm could use some sort of multiply-by-inverse
on suitable machines. This ends up happening for decimal by presenting
the compiler with a run-time constant, but the same for other bases would
be good. Perhaps use could be made of the fact base<256.
mpn_umul_ppmm, mpn_udiv_qrnnd: Return a
structure like div_t to avoid going through memory, in
particular helping RISCs that don't do store-to-load forwarding. Clearly
this is only possible if the ABI returns a structure of two
mp_limb_ts in registers.
mpz_crr (Chinese Remainder Reconstruction).
mpz_init and mpq_init could do lazy allocation.
Set ALLOC(var) to 0 to indicate nothing allocated, and let
_mpz_realloc do the initial alloc. Set
z->_mp_d to a dummy that mpz_get_ui and
similar can unconditionally fetch from. Niels Möller has had a go at
this.
mpz_init and then
more or less immediately reallocating.
mpz_init would only store magic values in the
mpz_t fields, and could be inlined.
mpz_t z = MPZ_INITIALIZER;, which might be convenient
for globals.
mpz_set_ui and other similar routines needn't check the
size allocated and can just store unconditionally.
mpz_set_ui and perhaps others like
mpz_tdiv_r_ui and a prospective
mpz_set_ull could be inlined.
mpf_out_raw and mpf_inp_raw. Make sure
format is portable between 32-bit and 64-bit machines, and between
little-endian and big-endian machines. A format which MPFR can use too
would be good.
mpn_and_n ... mpn_copyd: Perhaps make the mpn
logops and copys available in gmp.h, either as library functions or
inlines, with the availability of library functions instantiated in the
generated gmp.h at build time.
mpz_set_str etc variants taking string lengths rather than
null-terminators.
mpz_andn, mpz_iorn, mpz_nand,
mpz_nior, mpz_xnor might be useful additions,
if they could share code with the current such functions (which should be
possible).
mpz_and_ui etc might be of use sometimes. Suggested by
Niels Möller.
mpf_set_str and mpf_inp_str could usefully
accept 0x, 0b etc when base==0. Perhaps the exponent could default to
decimal in this case, with a further 0x, 0b etc allowed there.
Eg. 0xFFAA@0x5A. A leading "0" for octal would match the integers, but
probably something like "0.123" ought not mean octal.
GMP_LONG_LONG_LIMB or some such could become a documented
feature of gmp.h, so applications could know whether to
printf a limb using %lu or %Lu.
GMP_PRIdMP_LIMB and similar defines following C99
<inttypes.h> might be of use to applications printing limbs. But
if GMP_LONG_LONG_LIMB or whatever is added then perhaps this
can easily enough be left to applications.
gmp_printf could accept %b for binary output.
It'd be nice if it worked for plain int etc too, not just
mpz_t etc.
gmp_printf in fact could usefully accept an arbitrary base,
for both integer and float conversions. A base either in the format
string or as a parameter with * should be allowed. Maybe
&13b (b for base) or something like that.
gmp_printf could perhaps accept mpq_t for float
conversions, eg. "%.4Qf". This would be merely for
convenience, but still might be useful. Rounding would be the same as
for an mpf_t (ie. currently round-to-nearest, but not
actually documented). Alternately, perhaps a separate
mpq_get_str_point or some such might be more use. Suggested
by Pedro Gimeno.
mpz_rscan0 or mpz_revscan0 or some such
searching towards the low end of an integer might match
mpz_scan0 nicely. Likewise for scan1.
Suggested by Roberto Bagnara.
mpz_bit_subset or some such to test whether one integer is a
bitwise subset of another might be of use. Some sort of return value
indicating whether it's a proper or non-proper subset would be good and
wouldn't cost anything in the implementation. Suggested by Roberto
Bagnara.
mpf_get_ld, mpf_set_ld: Conversions between
mpf_t and long double, suggested by Dan
Christensen. Other long double routines might be desirable
too, but mpf would be a start.
long double is an ANSI-ism, so everything involving it would
need to be suppressed on a K&R compiler.
configure to recognise
the format in use, MPFR has a start on this. Often long
double is the same as double, which is easy but
pretty pointless. A single float format detector macro could look at
double then long double
long
double, eg. xlc on AIX can use either 64-bit or 128-bit. It's
probably simplest to regard this as a compiler compatibility issue, and
leave it to users or sysadmins to ensure application and library code is
built the same.
mpz_sqrt_if_perfect_square: When
mpz_perfect_square_p does its tests it calculates a square
root and then discards it. For some applications it might be useful to
return that root. Suggested by Jason Moxham.
mpz_get_ull, mpz_set_ull,
mpz_get_sll, mpz_get_sll: Conversions for
long long. These would aid interoperability, though a
mixture of GMP and long long would probably not be too
common. Since long long is not always available (it's in
C99 and GCC though), disadvantages of using long long in
libgmp.a would be
#ifdef block to decide if the
application compiler could take the long long
prototypes.
LIBGMP_HAS_LONGLONG might be wanted to
indicate whether the functions are available. (Applications using
autoconf could probe the library too.)
long long to
application compile time, by having something like
mpz_set_2ui called with two halves of a long
long. Disadvantages of this would be,
long
long is normally passed as two halves anyway.
mpz_get_ull would be a rather big inline, or would have
to be two function calls.
mpz_get_sll would be a worse inline, and would put the
treatment of -0x10..00 into applications (see
mpz_get_si correctness above).
long long is probably the lesser evil, if only
because it makes best use of gcc. In fact perhaps it would suffice to
guarantee long long conversions only when using GCC for both
application and library. That would cover free software, and we can
worry about selected vendor compilers later.
long long should be available always. We'd probably prefer
to have the C and C++ the same in respect of long long
support, but it would be possible to have it unconditionally in gmpxx.h,
by some means or another.
mpz_strtoz parsing the same as strtol.
Suggested by Alexander Kruppa.
umul_ppmm in longlong.h always uses umull,
but is that available only for M series chips or some such? Perhaps it
should be configured in some way.
-mschedule=7200 etc parameter,
which could be driven by an exact hppa cpu type.
AC_C_BIGENDIAN seems the best way to handle that for GMP.
*-*-aix*. It might be more reliable to do some sort of
feature test, examining the compiler output perhaps. It might also be
nice to merge the aix.m4 files into powerpc-defs.m4.
AC_OUTPUT
would work, but it might upset "make" to have things like L$
get into the Makefiles through AC_SUBST.
AC_CONFIG_COMMANDS would be the alternative. With some
careful m4 quoting the changequote calls might not be
needed, which might free up the order in which things had to be output.
CCAS, CCASFLAGS
scheme. Though we probably wouldn't be using its assembler support we
could try to use those variables in compatible ways.
GMP_LDFLAGS could probably be done with plain
LDFLAGS already used by automake for all linking. But with
a bit of luck the next libtool will pass pretty much all
CFLAGS through to the compiler when linking, making
GMP_LDFLAGS unnecessary.
-c and -o together in the
.S and .asm rules, but apparently that isn't completely portable (there's
an autoconf AC_PROG_CC_C_O test for it). So far we've not
had problems, but perhaps the rules could be rewritten to use "foo.s" as
the temporary, or to do a suitable "mv" of the result. The only danger
from using foo.s would be if a compile failed and the temporary foo.s
then looked like the primary source. Hopefully if the
SUFFIXES are ordered to have .S and .asm ahead of .s that
wouldn't happen. Might need to check.
_gmp_rand is not particularly fast on the linear
congruential algorithm and could stand various improvements.
gmp_randstate_t (or
_mp_algdata rather) to save some copying.
2exp modulus, to
avoid mpn_mul calls. Perhaps the same for two limbs.
lc code, to avoid a function call and
TMP_ALLOC for every chunk.
2exp and general LC cases should be split,
for clarity (if the general case is retained).
gmp_randstate_t used for parameters perhaps should become
gmp_randstate_ptr the same as other types.
mpz_class(string), etc: Use the C++ global locale to
identify whitespace.
mpf_class(string): Use the C++ global locale decimal point,
rather than the C one.
mpz_set_str etc forms
available for mpz_t too, not just mpz_class
etc.
mpq_class operator+=: Don't emit an unnecessary
mpq_set(q,q) before mpz_addmul etc.
mpz_class(const char *), etc: since they're normally
not fast anyway, and we can hide the exception throw.
mpz_class(string), etc: to hide the cstr
needed to get to the C conversion function.
mpz_class string, char* etc constructors: likewise to
hide the throws and conversions.
mpz_class::get_str, etc: to hide the char*
to string conversion and free. Perhaps
mpz_get_str can write directly into a
string, to avoid copying.
string returning variants
available for use with plain mpz_t etc too.
mpz_gcdext and mpn_gcdext ought to document
what range of values the generated cofactors can take, and preferably
ensure the definition uniquely specifies the cofactors for given inputs.
A basic extended Euclidean algorithm or multi-step variant leads to
|x|<|b| and |y|<|a| or something like that, but there's probably
two solutions under just those restrictions.
mpz_divisible_ui_p rather than
mpz_tdiv_qr_ui. (Of course dividing multiple primes at a
time would be better still.)
libgmp. This establishes good cross-checks, but it might be
better to use simple reference routines where possible. Where it's not
possible some attention could be paid to the order of the tests, so a
libgmp routine is only used for tests once it seems to be
good.
MUL_FFT_THRESHOLD etc: the FFT thresholds should allow a
return to a previous k at certain sizes. This arises basically due to
the step effect caused by size multiples effectively used for each k.
Looking at a graph makes it fairly clear.
__gmp_doprnt_mpf does a rather unattractive round-to-nearest
on the string returned by mpf_get_str. Perhaps some variant
of mpf_get_str could be made which would better suit.
ASSERTs at the start of each user-visible mpz/mpq/mpf
function to check the validity of each mp?_t parameter, in
particular to check they've been mp?_inited. This might
catch elementary mistakes in user programs. Care would need to be taken
over MPZ_TMP_INITed variables used internally. If nothing
else then consistency checks like size<=alloc, ptr not
NULL and ptr+size not wrapping around the address space,
would be possible. A more sophisticated scheme could track
_mp_d pointers and ensure only a valid one is used. Such a
scheme probably wouldn't be reentrant, not without some help from the
system.
getrusage and gettimeofday are reliable.
Currently we pretend in configure that the dodgy m68k netbsd 1.4.1
getrusage doesn't exist. If a test might take a long time
to run then perhaps cache the result in a file somewhere.
speed_unittime determined, independent of the method in use.
sysconf(_SC_CLK_TCK), since it seems to be clock cycle
based. Is this true for all Cray systems? Would like some documentation
or something to confirm.
mpz_inp_str (etc) doesn't say when it stops reading digits.
mpn_get_str isn't terribly clear about how many digits it
produces. It'd probably be possible to say at most one leading zero,
which is what both it and mpz_get_str currently do. But
want to be careful not to bind ourselves to something that might not suit
another implementation.
va_arg doesn't do the right thing with mpz_t
etc directly, but instead needs a pointer type like MP_INT*.
It'd be good to show how to do this, but we'd either need to document
mpz_ptr and friends, or perhaps fallback on something
slightly nasty with void*.
The following may or may not be feasible, and aren't likely to get done in the near future, but are at least worth thinking about.
mpn_umul_ppmm, and the corresponding umul.asm file could be
included in libgmp only in that case, the same as is effectively done for
__clz_tab. Likewise udiv.asm and perhaps cntlz.asm. This
would only be a very small space saving, so perhaps not worth the
complexity.
mpz_get_si returns 0x80000000 for -0x100000000, whereas it's
sort of supposed to return the low 31 (or 63) bits. But this is
undocumented, and perhaps not too important.
mpz_init_set* and mpz_realloc could allocate
say an extra 16 limbs over what's needed, so as to reduce the chance of
having to do a reallocate if the mpz_t grows a bit more.
This could only be an option, since it'd badly bloat memory usage in
applications using many small values.
mpq functions could perhaps check for numerator or
denominator equal to 1, on the assumption that integers or
denominator-only values might be expected to occur reasonably often.
count_trailing_zeros is used on more or less uniformly
distributed numbers in a couple of places. For some CPUs
count_trailing_zeros is slow and it's probably worth handling
the frequently occurring 0 to 2 trailing zeros cases specially.
mpf_t might like to let the exponent be undefined when
size==0, instead of requiring it 0 as now. It should be possible to do
size==0 tests before paying attention to the exponent. The advantage is
not needing to set exp in the various places a zero result can arise,
which avoids some tedium but is otherwise perhaps not too important.
Currently mpz_set_f and mpf_cmp_ui depend on
exp==0, maybe elsewhere too.
__gmp_allocate_func: Could use GCC __attribute__
((malloc)) on this, though don't know if it'd do much. GCC 3.0
allows that attribute on functions, but not function pointers (see info
node "Attribute Syntax"), so would need a new autoconf test. This can
wait until there's a GCC that supports it.
mpz_add_ui contains two __GMPN_COPYs, one from
mpn_add_1 and one from mpn_sub_1. If those two
routines were opened up a bit maybe that code could be shared. When a
copy needs to be done there's no carry to append for the add, and if the
copy is non-empty no high zero for the sub.
The following tasks apply to chips or systems that are old and/or obsolete. It's unlikely anything will be done about them unless anyone is actively using them.
configure --nfp but that option is gone now that autoconf is
used. The file could go somewhere suitable in the mpn search if any
chips might benefit from it, though it's possible we don't currently
differentiate enough exact cpu types to do this properly.
double floats are straightforward and
could perhaps be handled directly in __gmp_extract_double
and maybe in mpn_get_d, rather than falling back on the
generic code. (Both formats are detected by configure.)