diff options
author | charlet <charlet@138bc75d-0d04-0410-961f-82ee72b054a4> | 2003-10-21 13:42:24 +0000 |
---|---|---|
committer | charlet <charlet@138bc75d-0d04-0410-961f-82ee72b054a4> | 2003-10-21 13:42:24 +0000 |
commit | 9dfe12ae5b94d03c997ea2903022a5d2d5c5f266 (patch) | |
tree | bdfc70477b60f1220cb05dd233a4570dd9c6bb5c /gcc/ada/a-tifiio.adb | |
parent | 1c662558a1113238a624245a45382d3df90ccf13 (diff) | |
download | gcc-9dfe12ae5b94d03c997ea2903022a5d2d5c5f266.tar.gz |
2003-10-21 Arnaud Charlet <charlet@act-europe.fr>
* 3psoccon.ads, 3veacodu.adb, 3vexpect.adb, 3vsoccon.ads,
3vsocthi.adb, 3vsocthi.ads, 3vtrasym.adb, 3zsoccon.ads,
3zsocthi.adb, 3zsocthi.ads, 50system.ads, 51system.ads,
55system.ads, 56osinte.adb, 56osinte.ads, 56taprop.adb,
56taspri.ads, 56tpopsp.adb, 57system.ads, 58system.ads,
59system.ads, 5aml-tgt.adb, 5bml-tgt.adb, 5csystem.ads,
5dsystem.ads, 5fosinte.adb, 5gml-tgt.adb, 5hml-tgt.adb,
5isystem.ads, 5lparame.adb, 5msystem.ads, 5psystem.ads,
5sml-tgt.adb, 5sosprim.adb, 5stpopsp.adb, 5tsystem.ads,
5usystem.ads, 5vml-tgt.adb, 5vsymbol.adb, 5vtraent.adb,
5vtraent.ads, 5wml-tgt.adb, 5xparame.ads, 5xsystem.ads,
5xvxwork.ads, 5yparame.ads, 5ytiitho.adb, 5zinit.adb,
5zml-tgt.adb, 5zparame.ads, 5ztaspri.ads, 5ztfsetr.adb,
5zthrini.adb, 5ztiitho.adb, 5ztpopsp.adb, 7stfsetr.adb,
7straces.adb, 7strafor.adb, 7strafor.ads, 7stratas.adb,
a-excach.adb, a-exexda.adb, a-exexpr.adb, a-exextr.adb,
a-exstat.adb, a-strsup.adb, a-strsup.ads, a-stwisu.adb,
a-stwisu.ads, bld.adb, bld.ads, bld-io.adb,
bld-io.ads, clean.adb, clean.ads, ctrl_c.c,
erroutc.adb, erroutc.ads, errutil.adb, errutil.ads,
err_vars.ads, final.c, g-arrspl.adb, g-arrspl.ads,
g-boubuf.adb, g-boubuf.ads, g-boumai.ads, g-bubsor.adb,
g-bubsor.ads, g-comver.adb, g-comver.ads, g-ctrl_c.ads,
g-dynhta.adb, g-dynhta.ads, g-eacodu.adb, g-excact.adb,
g-excact.ads, g-heasor.adb, g-heasor.ads, g-memdum.adb,
g-memdum.ads, gnatclean.adb, gnatsym.adb, g-pehage.adb,
g-pehage.ads, g-perhas.ads, gpr2make.adb, gpr2make.ads,
gprcmd.adb, gprep.adb, gprep.ads, g-semaph.adb,
g-semaph.ads, g-string.adb, g-string.ads, g-strspl.ads,
g-wistsp.ads, i-vthrea.adb, i-vthrea.ads, i-vxwoio.adb,
i-vxwoio.ads, Makefile.generic, Makefile.prolog, Makefile.rtl,
prep.adb, prep.ads, prepcomp.adb, prepcomp.ads,
prj-err.adb, prj-err.ads, s-boarop.ads, s-carsi8.adb,
s-carsi8.ads, s-carun8.adb, s-carun8.ads, s-casi16.adb,
s-casi16.ads, s-casi32.adb, s-casi32.ads, s-casi64.adb,
s-casi64.ads, s-casuti.adb, s-casuti.ads, s-caun16.adb,
s-caun16.ads, s-caun32.adb, s-caun32.ads, s-caun64.adb,
s-caun64.ads, scng.adb, scng.ads, s-exnint.adb,
s-exnllf.adb, s-exnlli.adb, s-expint.adb, s-explli.adb,
s-geveop.adb, s-geveop.ads, s-hibaen.ads, s-htable.adb,
s-htable.ads, sinput-c.adb, sinput-c.ads, s-memcop.ads,
socket.c, s-purexc.ads, s-scaval.adb, s-stopoo.adb,
s-strcom.adb, s-strcom.ads, s-strxdr.adb, s-rident.ads,
s-thread.adb, s-thread.ads, s-tpae65.adb, s-tpae65.ads,
s-tporft.adb, s-traent.adb, s-traent.ads, styleg.adb,
styleg.ads, styleg-c.adb, styleg-c.ads, s-veboop.adb,
s-veboop.ads, s-vector.ads, symbols.adb, symbols.ads,
tb-alvms.c, tb-alvxw.c, tempdir.adb, tempdir.ads,
vms_conv.ads, vms_conv.adb, vms_data.ads,
vxaddr2line.adb: Files added. Merge with ACT tree.
* 4dintnam.ads, 4mintnam.ads, 4uintnam.ads, 52system.ads,
5dosinte.ads, 5etpopse.adb, 5mosinte.ads, 5qosinte.adb,
5qosinte.ads, 5qstache.adb, 5qtaprop.adb, 5qtaspri.ads,
5stpopse.adb, 5uintman.adb, 5uosinte.ads, adafinal.c,
g-enblsp.adb, io-aux.c, scn-nlit.adb, scn-slit.adb,
s-exnflt.ads, s-exngen.adb, s-exngen.ads, s-exnlfl.ads,
s-exnlin.ads, s-exnsfl.ads, s-exnsin.ads, s-exnssi.ads,
s-expflt.ads, s-expgen.adb, s-expgen.ads, s-explfl.ads,
s-explin.ads, s-expllf.ads, s-expsfl.ads, s-expsin.ads,
s-expssi.ads, style.adb: Files removed. Merge with ACT tree.
* 1ic.ads, 31soccon.ads, 31soliop.ads, 3asoccon.ads,
3bsoccon.ads, 3gsoccon.ads, 3hsoccon.ads, 3ssoccon.ads,
3ssoliop.ads, 3wsoccon.ads, 3wsocthi.adb, 3wsocthi.ads,
3wsoliop.ads, 41intnam.ads, 42intnam.ads, 4aintnam.ads,
4cintnam.ads, 4gintnam.ads, 4hexcpol.adb, 4hintnam.ads,
4lintnam.ads, 4nintnam.ads, 4ointnam.ads, 4onumaux.ads,
4pintnam.ads, 4sintnam.ads, 4vcaldel.adb, 4vcalend.adb,
4vintnam.ads, 4wexcpol.adb, 4wintnam.ads, 4zintnam.ads,
51osinte.adb, 51osinte.ads, 52osinte.adb, 52osinte.ads,
53osinte.ads, 54osinte.ads, 5aosinte.adb, 5aosinte.ads,
5asystem.ads, 5ataprop.adb, 5atasinf.ads, 5ataspri.ads,
5atpopsp.adb, 5avxwork.ads, 5bosinte.adb, 5bosinte.ads,
5bsystem.ads, 5cosinte.ads, 5esystem.ads, 5fintman.adb,
5fosinte.ads, 5fsystem.ads, 5ftaprop.adb, 5ftasinf.ads,
5ginterr.adb, 5gintman.adb, 5gmastop.adb, 5gosinte.ads,
5gproinf.ads, 5gsystem.ads, 5gtaprop.adb, 5gtasinf.ads,
5gtpgetc.adb, 5hosinte.adb, 5hosinte.ads, 5hsystem.ads,
5htaprop.adb, 5htaspri.ads, 5htraceb.adb, 5iosinte.adb,
5itaprop.adb, 5itaspri.ads, 5ksystem.ads, 5kvxwork.ads,
5lintman.adb, 5lml-tgt.adb, 5losinte.ads, 5lsystem.ads,
5mvxwork.ads, 5ninmaop.adb, 5nintman.adb, 5nosinte.ads,
5ntaprop.adb, 5ntaspri.ads, 5ointerr.adb, 5omastop.adb,
5oosinte.adb, 5oosinte.ads, 5oosprim.adb, 5oparame.adb,
5osystem.ads, 5otaprop.adb, 5otaspri.ads, 5posinte.ads,
5posprim.adb, 5pvxwork.ads, 5sintman.adb, 5sosinte.adb,
5sosinte.ads, 5ssystem.ads, 5staprop.adb, 5stasinf.ads,
5staspri.ads, 5svxwork.ads, 5tosinte.ads, 5vasthan.adb,
5vinmaop.adb, 5vinterr.adb, 5vintman.adb, 5vintman.ads,
5vmastop.adb, 5vosinte.adb, 5vosinte.ads, 5vosprim.adb,
5vsystem.ads, 5vtaprop.adb, 5vtaspri.ads, 5vtpopde.adb,
5vtpopde.ads, 5wgloloc.adb, 5wintman.adb, 5wmemory.adb,
5wosprim.adb, 5wsystem.ads, 5wtaprop.adb, 5wtaspri.ads,
5ysystem.ads, 5zinterr.adb, 5zintman.adb, 5zosinte.adb,
5zosinte.ads, 5zosprim.adb, 5zsystem.ads, 5ztaprop.adb,
6vcpp.adb, 6vcstrea.adb, 6vinterf.ads, 7sinmaop.adb,
7sintman.adb, 7sosinte.adb, 7sosprim.adb, 7staprop.adb,
7staspri.ads, 7stpopsp.adb, 7straceb.adb, 9drpc.adb,
a-caldel.adb, a-caldel.ads, a-charac.ads, a-colien.ads,
a-comlin.adb, adaint.c, adaint.h, ada-tree.def,
a-diocst.adb, a-diocst.ads, a-direio.adb, a-except.adb,
a-except.ads, a-excpol.adb, a-exctra.adb, a-exctra.ads,
a-filico.adb, a-interr.adb, a-intsig.adb, a-intsig.ads,
ali.adb, ali.ads, ali-util.adb, ali-util.ads,
a-ngcefu.adb, a-ngcoty.adb, a-ngelfu.adb, a-nudira.adb,
a-nudira.ads, a-nuflra.adb, a-nuflra.ads, a-reatim.adb,
a-reatim.ads, a-retide.ads, a-sequio.adb, a-siocst.adb,
a-siocst.ads, a-ssicst.adb, a-ssicst.ads, a-strbou.adb,
a-strbou.ads, a-strfix.adb, a-strmap.adb, a-strsea.ads,
a-strunb.adb, a-strunb.ads, a-ststio.adb, a-stunau.adb,
a-stunau.ads, a-stwibo.adb, a-stwibo.ads, a-stwifi.adb,
a-stwima.adb, a-stwiun.adb, a-stwiun.ads, a-tags.adb,
a-tags.ads, a-tasatt.adb, a-taside.adb, a-teioed.adb,
a-textio.adb, a-textio.ads, a-tienau.adb, a-tifiio.adb,
a-tiflau.adb, a-tiflio.adb, a-tigeau.adb, a-tigeau.ads,
a-tiinau.adb, a-timoau.adb, a-tiocst.adb, a-tiocst.ads,
atree.adb, atree.ads, a-witeio.adb, a-witeio.ads,
a-wtcstr.adb, a-wtcstr.ads, a-wtdeio.adb, a-wtedit.adb,
a-wtenau.adb, a-wtflau.adb, a-wtinau.adb, a-wtmoau.adb,
bcheck.adb, binde.adb, bindgen.adb, bindusg.adb,
checks.adb, checks.ads, cio.c, comperr.adb,
comperr.ads, csets.adb, cstand.adb, cstreams.c,
debug_a.adb, debug_a.ads, debug.adb, decl.c,
einfo.adb, einfo.ads, errout.adb, errout.ads,
eval_fat.adb, eval_fat.ads, exp_aggr.adb, expander.adb,
expander.ads, exp_attr.adb, exp_ch11.adb, exp_ch13.adb,
exp_ch2.adb, exp_ch3.adb, exp_ch3.ads, exp_ch4.adb,
exp_ch5.adb, exp_ch6.adb, exp_ch7.adb, exp_ch7.ads,
exp_ch8.adb, exp_ch9.adb, exp_code.adb, exp_dbug.adb,
exp_dbug.ads, exp_disp.adb, exp_dist.adb, expect.c,
exp_fixd.adb, exp_imgv.adb, exp_intr.adb, exp_pakd.adb,
exp_prag.adb, exp_strm.adb, exp_strm.ads, exp_tss.adb,
exp_tss.ads, exp_util.adb, exp_util.ads, exp_vfpt.adb,
fe.h, fmap.adb, fmap.ads, fname.adb,
fname.ads, fname-uf.adb, fname-uf.ads, freeze.adb,
freeze.ads, frontend.adb, g-awk.adb, g-awk.ads,
g-busora.adb, g-busora.ads, g-busorg.adb, g-busorg.ads,
g-casuti.adb, g-casuti.ads, g-catiio.adb, g-catiio.ads,
g-cgi.adb, g-cgi.ads, g-cgicoo.adb, g-cgicoo.ads,
g-cgideb.adb, g-cgideb.ads, g-comlin.adb, g-comlin.ads,
g-crc32.adb, g-crc32.ads, g-debpoo.adb, g-debpoo.ads,
g-debuti.adb, g-debuti.ads, g-diopit.adb, g-diopit.ads,
g-dirope.adb, g-dirope.ads, g-dyntab.adb, g-dyntab.ads,
g-except.ads, g-exctra.adb, g-exctra.ads, g-expect.adb,
g-expect.ads, g-hesora.adb, g-hesora.ads, g-hesorg.adb,
g-hesorg.ads, g-htable.adb, g-htable.ads, gigi.h,
g-io.adb, g-io.ads, g-io_aux.adb, g-io_aux.ads,
g-locfil.adb, g-locfil.ads, g-md5.adb, g-md5.ads,
gmem.c, gnat1drv.adb, gnatbind.adb, gnatchop.adb,
gnatcmd.adb, gnatfind.adb, gnatkr.adb, gnatlbr.adb,
gnatlink.adb, gnatls.adb, gnatmake.adb, gnatmem.adb,
gnatname.adb, gnatprep.adb, gnatprep.ads, gnatpsta.adb,
gnatxref.adb, g-os_lib.adb, g-os_lib.ads, g-regexp.adb,
g-regexp.ads, g-regist.adb, g-regist.ads, g-regpat.adb,
g-regpat.ads, g-soccon.ads, g-socket.adb, g-socket.ads,
g-socthi.adb, g-socthi.ads, g-soliop.ads, g-souinf.ads,
g-speche.adb, g-speche.ads, g-spipat.adb, g-spipat.ads,
g-spitbo.adb, g-spitbo.ads, g-sptabo.ads, g-sptain.ads,
g-sptavs.ads, g-table.adb, g-table.ads, g-tasloc.adb,
g-tasloc.ads, g-thread.adb, g-thread.ads, g-traceb.adb,
g-traceb.ads, g-trasym.adb, g-trasym.ads, hostparm.ads,
i-c.ads, i-cobol.adb, i-cpp.adb, i-cstrea.ads,
i-cstrin.adb, i-cstrin.ads, impunit.adb, init.c,
inline.adb, interfac.ads, i-pacdec.ads, itypes.adb,
itypes.ads, i-vxwork.ads, lang.opt, lang-specs.h,
layout.adb, lib.adb, lib.ads, lib-list.adb,
lib-load.adb, lib-load.ads, lib-sort.adb, lib-util.adb,
lib-writ.adb, lib-writ.ads, lib-xref.adb, lib-xref.ads,
link.c, live.adb, make.adb, make.ads,
Makefile.adalib, Makefile.in, Make-lang.in, makeusg.adb,
mdll.adb, mdll-fil.adb, mdll-fil.ads, mdll-utl.adb,
mdll-utl.ads, memroot.adb, memroot.ads, memtrack.adb,
misc.c, mkdir.c, mlib.adb, mlib.ads,
mlib-fil.adb, mlib-fil.ads, mlib-prj.adb, mlib-prj.ads,
mlib-tgt.adb, mlib-tgt.ads, mlib-utl.adb, mlib-utl.ads,
namet.adb, namet.ads, namet.h, nlists.ads,
nlists.h, nmake.adt, opt.adb, opt.ads,
osint.adb, osint.ads, osint-b.adb, osint-c.adb,
par.adb, par-ch10.adb, par-ch11.adb, par-ch2.adb,
par-ch3.adb, par-ch4.adb, par-ch5.adb, par-ch6.adb,
par-ch9.adb, par-endh.adb, par-labl.adb, par-load.adb,
par-prag.adb, par-sync.adb, par-tchk.adb, par-util.adb,
prj.adb, prj.ads, prj-attr.adb, prj-attr.ads,
prj-com.adb, prj-com.ads, prj-dect.adb, prj-dect.ads,
prj-env.adb, prj-env.ads, prj-ext.adb, prj-ext.ads,
prj-makr.adb, prj-makr.ads, prj-nmsc.adb, prj-nmsc.ads,
prj-pars.adb, prj-pars.ads, prj-part.adb, prj-part.ads,
prj-pp.adb, prj-pp.ads, prj-proc.adb, prj-proc.ads,
prj-strt.adb, prj-strt.ads, prj-tree.adb, prj-tree.ads,
prj-util.adb, prj-util.ads, raise.c, raise.h,
repinfo.adb, repinfo.h, restrict.adb, restrict.ads,
rident.ads, rtsfind.adb, rtsfind.ads, s-addima.ads,
s-arit64.adb, s-assert.adb, s-assert.ads, s-atacco.adb,
s-atacco.ads, s-auxdec.adb, s-auxdec.ads, s-bitops.adb,
scans.ads, scn.adb, scn.ads, s-crc32.adb,
s-crc32.ads, s-direio.adb, sem.adb, sem.ads,
sem_aggr.adb, sem_attr.adb, sem_attr.ads, sem_case.adb,
sem_case.ads, sem_cat.adb, sem_cat.ads, sem_ch10.adb,
sem_ch11.adb, sem_ch12.adb, sem_ch12.ads, sem_ch13.adb,
sem_ch13.ads, sem_ch3.adb, sem_ch3.ads, sem_ch4.adb,
sem_ch5.adb, sem_ch5.ads, sem_ch6.adb, sem_ch6.ads,
sem_ch7.adb, sem_ch7.ads, sem_ch8.adb, sem_ch8.ads,
sem_ch9.adb, sem_disp.adb, sem_disp.ads, sem_dist.adb,
sem_elab.adb, sem_eval.adb, sem_eval.ads, sem_intr.adb,
sem_maps.adb, sem_mech.adb, sem_prag.adb, sem_prag.ads,
sem_res.adb, sem_res.ads, sem_type.adb, sem_type.ads,
sem_util.adb, sem_util.ads, sem_warn.adb, s-errrep.adb,
s-errrep.ads, s-exctab.adb, s-exctab.ads, s-exnint.ads,
s-exnllf.ads, s-exnlli.ads, s-expint.ads, s-explli.ads,
s-expuns.ads, s-fatflt.ads, s-fatgen.adb, s-fatgen.ads,
s-fatlfl.ads, s-fatllf.ads, s-fatsfl.ads, s-fileio.adb,
s-fileio.ads, s-finimp.adb, s-finimp.ads, s-finroo.adb,
s-finroo.ads, sfn_scan.adb, s-gloloc.adb, s-gloloc.ads,
s-imgdec.adb, s-imgenu.adb, s-imgrea.adb, s-imgwch.adb,
sinfo.adb, sinfo.ads, s-inmaop.ads, sinput.adb,
sinput.ads, sinput-d.adb, sinput-l.adb, sinput-l.ads,
sinput-p.adb, sinput-p.ads, s-interr.adb, s-interr.ads,
s-intman.ads, s-maccod.ads, s-mastop.adb, s-mastop.ads,
s-memory.adb, s-memory.ads, snames.adb, snames.ads,
snames.h, s-osprim.ads, s-parame.ads, s-parint.ads,
s-pooloc.adb, s-pooloc.ads, s-poosiz.adb, sprint.adb,
s-proinf.ads, s-scaval.ads, s-secsta.adb, s-secsta.ads,
s-sequio.adb, s-shasto.adb, s-shasto.ads, s-soflin.ads,
s-stache.adb, s-stache.ads, s-stalib.adb, s-stalib.ads,
s-stoele.ads, s-stopoo.ads, s-stratt.adb, s-stratt.ads,
s-strops.adb, s-strops.ads, s-taasde.adb, s-taasde.ads,
s-tadeca.adb, s-tadeca.ads, s-tadert.adb, s-tadert.ads,
s-taenca.adb, s-taenca.ads, s-taprob.adb, s-taprob.ads,
s-taprop.ads, s-tarest.adb, s-tarest.ads, s-tasdeb.adb,
s-tasdeb.ads, s-tasinf.adb, s-tasinf.ads, s-tasini.adb,
s-tasini.ads, s-taskin.adb, s-taskin.ads, s-tasque.adb,
s-tasque.ads, s-tasren.adb, s-tasren.ads, s-tasres.ads,
s-tassta.adb, s-tassta.ads, s-tasuti.adb, s-tasuti.ads,
s-tataat.adb, s-tataat.ads, s-tpinop.adb, s-tpinop.ads,
s-tpoben.adb, s-tpoben.ads, s-tpobop.adb, s-tpobop.ads,
s-tposen.adb, s-tposen.ads, s-traceb.adb, s-traceb.ads,
stringt.adb, stringt.ads, stringt.h, style.ads,
stylesw.adb, stylesw.ads, s-unstyp.ads, s-vaflop.ads,
s-valrea.adb, s-valuti.adb, s-vercon.adb, s-vmexta.adb,
s-wchcnv.ads, s-wchcon.ads, s-widcha.adb, switch.adb,
switch.ads, switch-b.adb, switch-c.adb, switch-m.adb,
s-wwdcha.adb, s-wwdwch.adb, sysdep.c, system.ads,
table.adb, table.ads, targparm.adb, targparm.ads,
targtyps.c, tbuild.adb, tbuild.ads, tracebak.c,
trans.c, tree_io.adb, treepr.adb, treeprs.adt,
ttypes.ads, types.ads, types.h, uintp.adb,
uintp.ads, uintp.h, uname.adb, urealp.adb,
urealp.ads, urealp.h, usage.adb, utils2.c,
utils.c, validsw.adb, validsw.ads, widechar.adb,
xeinfo.adb, xnmake.adb, xref_lib.adb, xref_lib.ads,
xr_tabls.adb, xr_tabls.ads, xtreeprs.adb, xsnames.adb,
einfo.h, sinfo.h, treeprs.ads, nmake.ads, nmake.adb,
gnatvsn.ads: Merge with ACT tree.
* gnatvsn.adb: Rewritten in a simpler and more efficient way.
git-svn-id: svn+ssh://gcc.gnu.org/svn/gcc/trunk@72751 138bc75d-0d04-0410-961f-82ee72b054a4
Diffstat (limited to 'gcc/ada/a-tifiio.adb')
-rw-r--r-- | gcc/ada/a-tifiio.adb | 555 |
1 files changed, 545 insertions, 10 deletions
diff --git a/gcc/ada/a-tifiio.adb b/gcc/ada/a-tifiio.adb index a1b3badd96b..52f8e706458 100644 --- a/gcc/ada/a-tifiio.adb +++ b/gcc/ada/a-tifiio.adb @@ -6,7 +6,7 @@ -- -- -- B o d y -- -- -- --- Copyright (C) 1992-1999 Free Software Foundation, Inc. -- +-- Copyright (C) 1992-2003 Free Software Foundation, Inc. -- -- -- -- GNAT is free software; you can redistribute it and/or modify it under -- -- terms of the GNU General Public License as published by the Free Soft- -- @@ -31,19 +31,284 @@ -- -- ------------------------------------------------------------------------------ +-- Fixed point I/O +-- --------------- + +-- The following documents implementation details of the fixed point +-- input/output routines in the GNAT run time. The first part describes +-- general properties of fixed point types as defined by the Ada 95 standard, +-- including the Information Systems Annex. + +-- Subsequently these are reduced to implementation constraints and the impact +-- of these constraints on a few possible approaches to I/O are given. +-- Based on this analysis, a specific implementation is selected for use in +-- the GNAT run time. Finally, the chosen algorithm is analyzed numerically in +-- order to provide user-level documentation on limits for range and precision +-- of fixed point types as well as accuracy of input/output conversions. + +-- ------------------------------------------- +-- - General Properties of Fixed Point Types - +-- ------------------------------------------- + +-- Operations on fixed point values, other than input and output, are not +-- important for the purposes of this document. Only the set of values that a +-- fixed point type can represent and the input and output operations are +-- significant. + +-- Values +-- ------ + +-- Set set of values of a fixed point type comprise the integral +-- multiples of a number called the small of the type. The small can +-- either be a power of ten, a power of two or (if the implementation +-- allows) an arbitrary strictly positive real value. + +-- Implementations need to support fixed-point types with a precision +-- of at least 24 bits, and (in order to comply with the Information +-- Systems Annex) decimal types need to support at least digits 18. +-- For the rest, however, no requirements exist for the minimal small +-- and range that need to be supported. + +-- Operations +-- ---------- + +-- 'Image and 'Wide_Image (see RM 3.5(34)) + +-- These attributes return a decimal real literal best approximating +-- the value (rounded away from zero if halfway between) with a +-- single leading character that is either a minus sign or a space, +-- one or more digits before the decimal point (with no redundant +-- leading zeros), a decimal point, and N digits after the decimal +-- point. For a subtype S, the value of N is S'Aft, the smallest +-- positive integer such that (10**N)*S'Delta is greater or equal to +-- one, see RM 3.5.10(5). + +-- For an arbitrary small, this means large number arithmetic needs +-- to be performed. + +-- Put (see RM A.10.9(22-26)) + +-- The requirements for Put add no extra constraints over the image +-- attributes, although it would be nice to be able to output more +-- than S'Aft digits after the decimal point for values of subtype S. + +-- 'Value and 'Wide_Value attribute (RM 3.5(40-55)) + +-- Since the input can be given in any base in the range 2..16, +-- accurate conversion to a fixed point number may require +-- arbitrary precision arithmetic if there is no limit on the +-- magnitude of the small of the fixed point type. + +-- Get (see RM A.10.9(12-21)) + +-- The requirements for Get are identical to those of the Value +-- attribute. + +-- ------------------------------ +-- - Implementation Constraints - +-- ------------------------------ + +-- The requirements listed above for the input/output operations lead to +-- significant complexity, if no constraints are put on supported smalls. + +-- Implementation Strategies +-- ------------------------- + +-- * Float arithmetic +-- * Arbitrary-precision integer arithmetic +-- * Fixed-precision integer arithmetic + +-- Although it seems convenient to convert fixed point numbers to floating- +-- point and then print them, this leads to a number of restrictions. +-- The first one is precision. The widest floating-point type generally +-- available has 53 bits of mantissa. This means that Fine_Delta cannot +-- be less than 2.0**(-53). + +-- In GNAT, Fine_Delta is 2.0**(-63), and Duration for example is a +-- 64-bit type. It would still be possible to use multi-precision +-- floating-point to perform calculations using longer mantissas, +-- but this is a much harder approach. + +-- The base conversions needed for input and output of (non-decimal) +-- fixed point types can be seen as pairs of integer multiplications +-- and divisions. + +-- Arbitrary-precision integer arithmetic would be suitable for the job +-- at hand, but has the draw-back that it is very heavy implementation-wise. +-- Especially in embedded systems, where fixed point types are often used, +-- it may not be desirable to require large amounts of storage and time +-- for fixed I/O operations. + +-- Fixed-precision integer arithmetic has the advantage of simplicity and +-- speed. For the most common fixed point types this would be a perfect +-- solution. The downside however may be a too limited set of acceptable +-- fixed point types. + +-- Extra Precision +-- --------------- + +-- Using a scaled divide which truncates and returns a remainder R, +-- another E trailing digits can be calculated by computing the value +-- (R * (10.0**E)) / Z using another scaled divide. This procedure +-- can be repeated to compute an arbitrary number of digits in linear +-- time and storage. The last scaled divide should be rounded, with +-- a possible carry propagating to the more significant digits, to +-- ensure correct rounding of the unit in the last place. + +-- An extension of this technique is to limit the value of Q to 9 decimal +-- digits, since 32-bit integers can be much more efficient than 64-bit +-- integers to output. + +with Interfaces; use Interfaces; +with System.Arith_64; use System.Arith_64; +with System.Img_Real; use System.Img_Real; +with Ada.Text_IO; use Ada.Text_IO; with Ada.Text_IO.Float_Aux; +with Ada.Text_IO.Generic_Aux; package body Ada.Text_IO.Fixed_IO is - -- Note: we use the floating-point I/O routines for input/output of - -- ordinary fixed-point. This works fine for fixed-point declarations - -- whose mantissa is no longer than the mantissa of Long_Long_Float, - -- and we simply consider that we have only partial support for fixed- - -- point types with larger mantissas (this situation will not arise on - -- the x86, but it will rise on machines only supporting IEEE long). + -- Note: we still use the floating-point I/O routines for input of + -- ordinary fixed-point and output using exponent format. This will + -- result in inaccuracies for fixed point types with a small that is + -- not a power of two, and for types that require more precision than + -- is available in Long_Long_Float. package Aux renames Ada.Text_IO.Float_Aux; + Extra_Layout_Space : constant Field := 5 + Num'Fore; + -- Extra space that may be needed for output of sign, decimal point, + -- exponent indication and mandatory decimals after and before the + -- decimal point. A string with length + + -- Fore + Aft + Exp + Extra_Layout_Space + + -- is always long enough for formatting any fixed point number. + + -- Implementation of Put routines + + -- The following section describes a specific implementation choice for + -- performing base conversions needed for output of values of a fixed + -- point type T with small T'Small. The goal is to be able to output + -- all values of types with a precision of 64 bits and a delta of at + -- least 2.0**(-63), as these are current GNAT limitations already. + + -- The chosen algorithm uses fixed precision integer arithmetic for + -- reasons of simplicity and efficiency. It is important to understand + -- in what ways the most simple and accurate approach to fixed point I/O + -- is limiting, before considering more complicated schemes. + + -- Without loss of generality assume T has a range (-2.0**63) * T'Small + -- .. (2.0**63 - 1) * T'Small, and is output with Aft digits after the + -- decimal point and T'Fore - 1 before. If T'Small is integer, or + -- 1.0 / T'Small is integer, let S = T'Small and E = 0. For other T'Small, + -- let S and E be integers such that S / 10**E best approximates T'Small + -- and S is in the range 10**17 .. 10**18 - 1. The extra decimal scaling + -- factor 10**E can be trivially handled during final output, by adjusting + -- the decimal point or exponent. + + -- Convert a value X * S of type T to a 64-bit integer value Q equal + -- to 10.0**D * (X * S) rounded to the nearest integer. + -- This conversion is a scaled integer divide of the form + + -- Q := (X * Y) / Z, + + -- where all variables are 64-bit signed integers using 2's complement, + -- and both the multiplication and division are done using full + -- intermediate precision. The final decimal value to be output is + + -- Q * 10**(E-D) + + -- This value can be written to the output file or to the result string + -- according to the format described in RM A.3.10. The details of this + -- operation are omitted here. + + -- A 64-bit value can contain all integers with 18 decimal digits, but + -- not all with 19 decimal digits. If the total number of requested output + -- digits (Fore - 1) + Aft is greater than 18, for purposes of the + -- conversion Aft is adjusted to 18 - (Fore - 1). In that case, or + -- when Fore > 19, trailing zeros can complete the output after writing + -- the first 18 significant digits, or the technique described in the + -- next section can be used. + + -- The final expression for D is + + -- D := Integer'Max (-18, Integer'Min (Aft, 18 - (Fore - 1))); + + -- For Y and Z the following expressions can be derived: + + -- Q / (10.0**D) = X * S + + -- Q = X * S * (10.0**D) = (X * Y) / Z + + -- S * 10.0**D = Y / Z; + + -- If S is an integer greater than or equal to one, then Fore must be at + -- least 20 in order to print T'First, which is at most -2.0**63. + -- This means D < 0, so use + + -- (1) Y = -S and Z = -10**(-D). + + -- If 1.0 / S is an integer greater than one, use + + -- (2) Y = -10**D and Z = -(1.0 / S), for D >= 0 + + -- or + + -- (3) Y = 1 and Z = (1.0 / S) * 10**(-D), for D < 0 + + -- Negative values are used for nominator Y and denominator Z, so that S + -- can have a maximum value of 2.0**63 and a minimum of 2.0**(-63). + -- For Z in -1 .. -9, Fore will still be 20, and D will be negative, as + -- (-2.0**63) / -9 is greater than 10**18. In these cases there is room + -- in the denominator for the extra decimal scaling required, so case (3) + -- will not overflow. + + pragma Assert (System.Fine_Delta >= 2.0**(-63)); + pragma Assert (Num'Small in 2.0**(-63) .. 2.0**63); + pragma Assert (Num'Fore <= 37); + -- These assertions need to be relaxed to allow for a Small of + -- 2.0**(-64) at least, since there is an ACATS test for this ??? + + Max_Digits : constant := 18; + -- Maximum number of decimal digits that can be represented in a + -- 64-bit signed number, see above + + -- The constants E0 .. E5 implement a binary search for the appropriate + -- power of ten to scale the small so that it has one digit before the + -- decimal point. + + subtype Int is Integer; + E0 : constant Int := -20 * Boolean'Pos (Num'Small >= 1.0E1); + E1 : constant Int := E0 + 10 * Boolean'Pos (Num'Small * 10.0**E0 < 1.0E-10); + E2 : constant Int := E1 + 5 * Boolean'Pos (Num'Small * 10.0**E1 < 1.0E-5); + E3 : constant Int := E2 + 3 * Boolean'Pos (Num'Small * 10.0**E2 < 1.0E-3); + E4 : constant Int := E3 + 2 * Boolean'Pos (Num'Small * 10.0**E3 < 1.0E-1); + E5 : constant Int := E4 + 1 * Boolean'Pos (Num'Small * 10.0**E4 < 1.0E-0); + + Scale : constant Integer := E5; + + pragma Assert (Num'Small * 10.0**Scale >= 1.0 + and then Num'Small * 10.0**Scale < 10.0); + + Exact : constant Boolean := + Float'Floor (Num'Small) = Float'Ceiling (Num'Small) + or Float'Floor (1.0 / Num'Small) = Float'Ceiling (1.0 / Num'Small) + or Num'Small >= 10.0**Max_Digits; + -- True iff a numerator and denominator can be calculated such that + -- their ratio exactly represents the small of Num + + -- Local Subprograms + + procedure Put + (To : out String; + Last : out Natural; + Item : Num; + Fore : Field; + Aft : Field; + Exp : Field); + -- Actual output function, used internally by all other Put routines + --------- -- Get -- --------- @@ -100,8 +365,11 @@ package body Ada.Text_IO.Fixed_IO is Aft : in Field := Default_Aft; Exp : in Field := Default_Exp) is + S : String (1 .. Fore + Aft + Exp + Extra_Layout_Space); + Last : Natural; begin - Aux.Put (File, Long_Long_Float (Item), Fore, Aft, Exp); + Put (S, Last, Item, Fore, Aft, Exp); + Generic_Aux.Put_Item (File, S (1 .. Last)); end Put; procedure Put @@ -110,8 +378,11 @@ package body Ada.Text_IO.Fixed_IO is Aft : in Field := Default_Aft; Exp : in Field := Default_Exp) is + S : String (1 .. Fore + Aft + Exp + Extra_Layout_Space); + Last : Natural; begin - Aux.Put (Current_Out, Long_Long_Float (Item), Fore, Aft, Exp); + Put (S, Last, Item, Fore, Aft, Exp); + Generic_Aux.Put_Item (Text_IO.Current_Out, S (1 .. Last)); end Put; procedure Put @@ -120,8 +391,272 @@ package body Ada.Text_IO.Fixed_IO is Aft : in Field := Default_Aft; Exp : in Field := Default_Exp) is + Fore : constant Integer := To'Length + - 1 -- Decimal point + - Field'Max (1, Aft) -- Decimal part + - Boolean'Pos (Exp /= 0) -- Exponent indicator + - Exp; -- Exponent + Last : Natural; + begin - Aux.Puts (To, Long_Long_Float (Item), Aft, Exp); + if Fore not in Field'Range then + raise Layout_Error; + end if; + + Put (To, Last, Item, Fore, Aft, Exp); + + if Last /= To'Last then + raise Layout_Error; + end if; + end Put; + + procedure Put + (To : out String; + Last : out Natural; + Item : Num; + Fore : Field; + Aft : Field; + Exp : Field) + is + subtype Digit is Int64 range 0 .. 9; + X : constant Int64 := Int64'Integer_Value (Item); + A : constant Field := Field'Max (Aft, 1); + Neg : constant Boolean := (Item < 0.0); + Pos : Integer; -- Next digit X has value X * 10.0**Pos; + + Y, Z : Int64; + E : constant Integer := Boolean'Pos (not Exact) + * (Max_Digits - 1 + Scale); + D : constant Integer := Boolean'Pos (Exact) + * Integer'Min (A, Max_Digits - (Num'Fore - 1)) + + Boolean'Pos (not Exact) + * (Scale - 1); + + + procedure Put_Character (C : Character); + pragma Inline (Put_Character); + -- Add C to the output string To, updating Last + + procedure Put_Digit (X : Digit); + -- Add digit X to the output string (going from left to right), + -- updating Last and Pos, and inserting the sign, leading zeroes + -- or a decimal point when necessary. After outputting the first + -- digit, Pos must not be changed outside Put_Digit anymore + + procedure Put_Int64 (X : Int64; Scale : Integer); + -- Output the decimal number X * 10**Scale + + procedure Put_Scaled + (X, Y, Z : Int64; + A : Field; + E : Integer); + -- Output the decimal number (X * Y / Z) * 10**E, producing A digits + -- after the decimal point and rounding the final digit. The value + -- X * Y / Z is computed with full precision, but must be in the + -- range of Int64. + + ------------------- + -- Put_Character -- + ------------------- + + procedure Put_Character (C : Character) is + begin + Last := Last + 1; + To (Last) := C; + end Put_Character; + + --------------- + -- Put_Digit -- + --------------- + + procedure Put_Digit (X : Digit) is + Digs : constant array (Digit) of Character := "0123456789"; + begin + if Last = 0 then + if X /= 0 or Pos <= 0 then + -- Before outputting first digit, include leading space, + -- posible minus sign and, if the first digit is fractional, + -- decimal seperator and leading zeros. + + -- The Fore part has Pos + 1 + Boolean'Pos (Neg) characters, + -- if Pos >= 0 and otherwise has a single zero digit plus minus + -- sign if negative. Add leading space if necessary. + + for J in Integer'Max (0, Pos) + 2 + Boolean'Pos (Neg) .. Fore + loop + Put_Character (' '); + end loop; + + -- Output minus sign, if number is negative + + if Neg then + Put_Character ('-'); + end if; + + -- If starting with fractional digit, output leading zeros + + if Pos < 0 then + Put_Character ('0'); + Put_Character ('.'); + + for J in Pos .. -2 loop + Put_Character ('0'); + end loop; + end if; + + Put_Character (Digs (X)); + end if; + + else + -- This is not the first digit to be output, so the only + -- special handling is that for the decimal point + + if Pos = -1 then + Put_Character ('.'); + end if; + + Put_Character (Digs (X)); + end if; + + Pos := Pos - 1; + end Put_Digit; + + --------------- + -- Put_Int64 -- + --------------- + + procedure Put_Int64 (X : Int64; Scale : Integer) is + begin + if X = 0 then + return; + end if; + + Pos := Scale; + + if X not in -9 .. 9 then + Put_Int64 (X / 10, Scale + 1); + end if; + + Put_Digit (abs (X rem 10)); + end Put_Int64; + + ---------------- + -- Put_Scaled -- + ---------------- + + procedure Put_Scaled + (X, Y, Z : Int64; + A : Field; + E : Integer) + is + N : constant Natural := (A + Max_Digits - 1) / Max_Digits + 1; + pragma Debug (Put_Line ("N =" & N'Img)); + Q : array (1 .. N) of Int64 := (others => 0); + + XX : Int64 := X; + YY : Int64 := Y; + AA : Field := A; + + begin + for J in Q'Range loop + exit when XX = 0; + + Scaled_Divide (XX, YY, Z, Q (J), XX, Round => AA = 0); + + -- As the last block of digits is rounded, a carry may have to + -- be propagated to the more significant digits. Since the last + -- block may have less than Max_Digits, the test for this block + -- is specialized. + + -- The absolute value of the left-most digit block may equal + -- 10*Max_Digits, as no carry can be propagated from there. + -- The final output routines need to be prepared to handle + -- this specific case. + + if (Q (J) = YY or -Q (J) = YY) and then J > Q'First then + if Q (J) < 0 then + Q (J - 1) := Q (J - 1) + 1; + else + Q (J - 1) := Q (J - 1) - 1; + end if; + + Q (J) := 0; + + Propagate_Carry : + for J in reverse Q'First + 1 .. Q'Last loop + if Q (J) >= 10**Max_Digits then + Q (J - 1) := Q (J - 1) + 1; + Q (J) := Q (J) - 10**Max_Digits; + + elsif Q (J) <= -10**Max_Digits then + Q (J - 1) := Q (J - 1) - 1; + Q (J) := Q (J) + 10**Max_Digits; + end if; + end loop Propagate_Carry; + end if; + + YY := -10**Integer'Min (Max_Digits, AA); + AA := AA - Integer'Min (Max_Digits, AA); + end loop; + + for J in Q'First .. Q'Last - 1 loop + Put_Int64 (Q (J), E - (J - Q'First) * Max_Digits); + end loop; + + Put_Int64 (Q (Q'Last), E - A); + end Put_Scaled; + + -- Start of processing for Put + + begin + Last := To'First - 1; + + if Exp /= 0 then + + -- With the Exp format, it is not known how many output digits to + -- generate, as leading zeros must be ignored. Computing too many + -- digits and then truncating the output will not give the closest + -- output, it is necessary to round at the correct digit. + + -- The general approach is as follows: as long as no digits have + -- been generated, compute the Aft next digits (without rounding). + -- Once a non-zero digit is generated, determine the exact number + -- of digits remaining and compute them with rounding. + -- Since a large number of iterations might be necessary in case + -- of Aft = 1, the following optimization would be desirable. + -- Count the number Z of leading zero bits in the integer + -- representation of X, and start with producing + -- Aft + Z * 1000 / 3322 digits in the first scaled division. + + -- However, the floating-point routines are still used now ??? + + System.Img_Real.Set_Image_Real (Long_Long_Float (Item), To, Last, + Fore, Aft, Exp); + return; + end if; + + if Exact then + Y := Int64'Min (Int64 (-Num'Small), -1) * 10**Integer'Max (0, D); + Z := Int64'Min (Int64 (-1.0 / Num'Small), -1) + * 10**Integer'Max (0, -D); + else + Y := Int64 (-Num'Small * 10.0**E); + Z := -10**Max_Digits; + end if; + + Put_Scaled (X, Y, Z, A - D, -D); + + -- If only zero digits encountered, unit digit has not been output yet + + if Last < To'First then + Pos := 0; + end if; + + -- Always output digits up to the first one after the decimal point + + while Pos >= -A loop + Put_Digit (0); + end loop; end Put; end Ada.Text_IO.Fixed_IO; |