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author | Nicolas Roche <roche@adacore.com> | 2017-09-08 15:12:17 +0000 |
---|---|---|
committer | Arnaud Charlet <charlet@gcc.gnu.org> | 2017-09-08 17:12:17 +0200 |
commit | edcc77dbd9f95301a8be1a2f2b0d774680b46a1a (patch) | |
tree | 4c2dd8030802ada53aad734af16a8b591a2a2e86 /gcc/ada/s-arit64.adb | |
parent | 9f00251a8e71aa96e243cb1e95dadbdbad8ada4f (diff) | |
download | gcc-edcc77dbd9f95301a8be1a2f2b0d774680b46a1a.zip gcc-edcc77dbd9f95301a8be1a2f2b0d774680b46a1a.tar.gz gcc-edcc77dbd9f95301a8be1a2f2b0d774680b46a1a.tar.bz2 |
Make-lang.in, [...]: Find runtime source in libgnat/
2017-09-08 Nicolas Roche <roche@adacore.com>
* gcc-interface/Make-lang.in, gcc-interface/Makefile.in: Find runtime
source in libgnat/
* a-lfztio.ads, g-timsta.ads, g-sercom-linux.adb, s-osprim-solaris.adb,
a-inteio.ads, s-stchop-rtems.adb, s-casuti.adb, s-pack39.adb,
i-vxwork-x86.ads, a-strbou.adb, a-stzmap.adb, s-assert.adb,
a-sfecin.ads, a-cohama.adb, s-casuti.ads, a-suenco.adb, s-pack39.ads,
a-stzmap.ads, a-strbou.ads, s-stalib.adb, s-trasym.adb, g-comver.adb,
s-assert.ads, s-vector.ads, g-cgi.adb, a-cohama.ads, s-wchcnv.adb,
a-titest.adb, s-pack48.adb, a-suenco.ads, a-strunb.adb, s-stalib.ads,
s-trasym.ads, a-nudira.adb, g-comver.ads, a-nuflra.adb, g-cgi.ads,
a-chacon.adb, s-wchcnv.ads, a-excach.adb, s-pack48.ads, a-titest.ads,
a-strunb.ads, s-dwalin.adb, a-nudira.ads, a-chtgbo.adb, s-resfil.adb,
a-scteio.ads, a-nuflra.ads, g-soliop-mingw.ads, s-pack57.adb,
a-chacon.ads, s-bytswa.ads, s-pooloc.adb, g-os_lib.adb, s-dwalin.ads,
a-szuzha.adb, s-resfil.ads, a-chtgbo.ads, s-spsufi.adb, s-pack57.ads,
s-pooloc.ads, g-os_lib.ads, a-stfiha.ads, a-lcteio.ads, a-wtcoau.adb,
a-szuzha.ads, s-mmosin-unix.adb, a-stmaco.ads, s-spsufi.ads,
s-stchop-limit.ads, a-wtcoau.ads, a-exctra.adb, s-mmosin-unix.ads,
s-sequio.adb, s-conca2.adb, g-table.adb, s-imglli.adb,
a-numaux-x86.adb, a-strsea.adb, s-wchstw.adb, a-clrefi.adb,
a-wwboio.adb, a-exctra.ads, s-sequio.ads, s-conca2.ads, a-wwunio.ads,
system-linux-hppa.ads, g-table.ads, s-dimkio.ads, s-imglli.ads,
a-cofove.adb, a-numaux-x86.ads, s-wchstw.ads, a-strsea.ads,
a-clrefi.ads, a-wwboio.ads, s-stratt-xdr.adb, s-crc32.adb,
s-excmac-arm.adb, g-busora.adb, a-cofove.ads, s-osprim-unix.adb,
g-io.adb, s-pack49.adb, s-crc32.ads, s-excmac-arm.ads, a-fzteio.ads,
g-busora.ads, s-stausa.adb, system-linux-mips.ads, sequenio.ads,
g-exctra.adb, g-rewdat.adb, a-cgaaso.adb, g-io.ads, s-pack49.ads,
a-wtflau.adb, a-undesu.adb, s-stausa.ads, a-ztenau.adb, g-enutst.ads,
calendar.ads, s-pack58.adb, g-rewdat.ads, g-exctra.ads, s-ststop.adb,
a-cgaaso.ads, a-strfix.adb, a-comlin.adb, a-strunb-shared.adb,
a-wtflau.ads, a-undesu.ads, a-cbhase.adb, a-ztenau.ads, s-os_lib.adb,
a-coorse.adb, a-chlat1.ads, s-pack58.ads, s-ststop.ads, a-strfix.ads,
a-comlin.ads, a-strunb-shared.ads, a-nscefu.ads, s-valboo.adb,
directio.ads, a-chtgke.adb, a-cbhase.ads, a-wtinau.adb,
system-linux-alpha.ads, s-os_lib.ads, a-coorse.ads,
system-linux-s390.ads, s-imgwiu.adb, a-chtgop.adb, s-valboo.ads,
a-chtgke.ads, a-tienio.adb, s-conca3.adb, a-wtinau.ads,
system-darwin-ppc.ads, i-c.adb, s-expllu.adb, g-expect.adb,
g-sha256.ads, s-vallld.adb, s-imgwiu.ads, a-chtgop.ads, a-strmap.adb,
a-tienio.ads, s-conca3.ads, s-imgint.adb, i-c.ads, s-expllu.ads,
s-osprim-darwin.adb, a-cogeso.adb, g-expect.ads, a-iwteio.ads,
s-vallld.ads, a-coinho-shared.adb, g-shsh64.adb, a-strmap.ads,
g-comlin.adb, a-excpol.adb, s-imgint.ads, a-ztdeau.adb, a-cogeso.ads,
a-coinho-shared.ads, g-shsh64.ads, g-comlin.ads, a-stzsup.adb,
a-rbtgbk.adb, a-wtmoau.adb, a-ztdeau.ads, s-exnlli.adb, g-tty.adb,
g-heasor.adb, g-socthi-dummy.adb, s-llflex.ads, a-zchara.ads,
a-stzsup.ads, a-ztcstr.adb, a-rbtgbk.ads, a-sfwtio.ads, a-wtmoau.ads,
a-sulcin.adb, s-exnlli.ads, system-freebsd.ads, a-stunha.adb,
a-charac.ads, g-tty.ads, g-heasor.ads, s-exctra.adb,
g-socthi-dummy.ads, a-coboho.adb, a-ztcstr.ads, a-tideio.adb,
a-sulcin.ads, a-wrstfi.adb, g-alleve.adb, s-pack59.adb, a-ngrear.adb,
a-stboha.adb, a-stunau-shared.adb, a-stunha.ads, a-lfwtio.ads,
s-fileio.adb, s-exctra.ads, a-coboho.ads, a-ioexce.ads, a-tideio.ads,
a-ngrear.ads, a-wrstfi.ads, s-pack59.ads, g-alleve.ads, a-stboha.ads,
s-poosiz.adb, g-traceb.adb, g-rannum.adb, machcode.ads, s-purexc.ads,
s-fileio.ads, a-cfinve.adb, a-crbtgk.adb, system-solaris-x86.ads,
s-poosiz.ads, g-rannum.ads, g-traceb.ads, a-except.adb, s-conca4.adb,
a-stream.adb, a-cfinve.ads, a-crbtgk.ads, s-wchwts.adb,
system-mingw.ads, a-except.ads, s-conca4.ads, a-chzla9.ads,
s-valenu.adb, s-soflin.adb, a-stream.ads, a-cgarso.adb, s-valllu.adb,
g-crc32.adb, s-wchwts.ads, s-fatflt.ads, s-imguns.adb, s-strcom.adb,
g-decstr.adb, s-valenu.ads, s-soflin.ads, a-cgarso.ads, a-cwila1.ads,
s-valllu.ads, g-crc32.ads, s-imguns.ads, g-spipat.adb, s-valwch.adb,
s-strcom.ads, g-decstr.ads, text_io.ads, g-debuti.adb, s-stchop.adb,
g-spipat.ads, s-valwch.ads, a-string.ads, s-exnint.adb, g-awk.adb,
g-tasloc.adb, s-wwdenu.adb, s-boustr.adb, a-zchuni.adb, s-stchop.ads,
g-debuti.ads, s-stopoo.adb, system-dragonfly-x86_64.ads,
system-linux-x86.ads, s-exnint.ads, g-awk.ads, a-stzhas.adb,
g-tasloc.ads, s-wwdenu.ads, g-debpoo.adb, g-except.ads,
g-sse.ads, s-boustr.ads, a-zchuni.ads, s-bitops.adb, s-wwdwch.adb,
s-stopoo.ads, a-catizo.adb, a-stzhas.ads, a-nlcefu.ads, g-debpoo.ads,
i-vxwoio.adb, s-bitops.ads, g-io-put-vxworks.adb, s-wwdwch.ads,
g-sehamd.adb, a-ssicst.adb, a-catizo.ads, s-mmap.adb, g-string.adb,
s-traceb.adb, a-swunau.adb, s-rannum.adb, a-ticoau.adb, i-vxwoio.ads,
g-sehamd.ads, a-stwiun.adb, a-ssicst.ads, s-conca5.adb, a-ssitio.ads,
s-mmap.ads, a-zttest.adb, g-string.ads, g-sercom.adb, a-cdlili.adb,
a-swunau.ads, s-traceb.ads, s-rannum.ads, a-ticoau.ads, system-aix.ads,
a-cforma.adb, a-stwiun.ads, s-conca5.ads, s-carsi8.adb, a-zttest.ads,
g-sercom.ads, a-cdlili.ads, a-cihama.adb, g-sptain.ads, a-cforma.ads,
s-maccod.ads, s-carsi8.ads, a-strsup.adb, g-sha1.adb, a-cihama.ads,
g-stseme.adb, s-traent.adb, s-valcha.adb, g-curexc.ads, a-strsup.ads,
g-sha1.ads, a-sflcin.ads, s-traent.ads, s-pack10.adb, s-valcha.ads,
a-coteio.ads, s-tasloc.adb, g-utf_32.adb, a-suteio.adb, s-except.adb,
a-direct.adb, g-stsifd-sockets.adb, a-numaux-vxworks.ads, s-winext.ads,
s-pack10.ads, a-ztexio.adb, a-tiflau.adb, system-vxworks-arm.ads,
s-tasloc.ads, a-suteio.ads, g-utf_32.ads, s-except.ads,
a-direct.ads, a-swbwha.adb, g-hesorg.adb, s-wwdcha.adb, a-wtedit.adb,
a-ztexio.ads, a-wtcoio.adb, a-tiflau.ads, a-ssizti.ads, s-casi32.adb,
a-swbwha.ads, s-veboop.adb, g-hesorg.ads, s-parame-rtems.adb,
s-wwdcha.ads, a-wtedit.ads, a-stuten.adb, a-coinve.adb, a-wtcoio.ads,
s-casi32.ads, s-string.adb, a-tiinau.adb, a-cusyqu.adb, s-conca6.adb,
s-veboop.ads, a-cgcaso.adb, a-numaux-darwin.adb, a-envvar.adb,
a-stuten.ads, s-secsta.adb, a-coinve.ads, s-string.ads, a-cusyqu.ads,
a-tiinau.ads, s-osprim-vxworks.adb, s-conca6.ads, g-spchge.adb,
s-parint.adb, a-cuprqu.adb, a-cgcaso.ads, a-numaux-darwin.ads,
a-envvar.ads, s-secsta.ads, g-spchge.ads, s-parint.ads, a-cuprqu.ads,
a-swuwti.adb, a-flteio.ads, a-sbhcin.adb, a-coprnu.adb, g-u3spch.adb,
s-atocou.adb, g-ctrl_c.adb, a-swuwti.ads, a-calend.adb, a-sbhcin.ads,
a-coprnu.ads, g-dirope.adb, g-sha512.ads, g-u3spch.ads, s-atocou.ads,
g-ctrl_c.ads, a-timoau.adb, a-witeio.adb, s-pack11.adb, a-strhas.adb,
a-wtflio.adb, g-spitbo.adb, a-calend.ads, a-ztenio.adb, g-dirope.ads,
a-slcain.adb, g-sechas.adb, a-timoau.ads, a-witeio.ads, s-pack11.ads,
s-shasto.adb, s-traceb-mastop.adb, a-ciorse.adb, s-utf_32.adb,
a-strhas.ads, a-wtflio.ads, g-spitbo.ads, a-ztenio.ads, a-slcain.ads,
g-sechas.ads, s-gearop.adb, a-siztio.ads, s-pack20.adb, s-shasto.ads,
a-ciorse.ads, s-utf_32.ads, s-crtl.ads, a-wtinio.adb, s-elaall.adb,
s-explli.adb, s-chepoo.ads, s-gearop.ads, a-einuoc.adb, s-pack20.ads,
system-linux-ia64.ads, a-swunau-shared.adb, a-wtinio.ads, g-alvety.ads,
a-liztio.ads, g-calend.adb, s-conca7.adb, s-elaall.ads, s-explli.ads,
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s-conca7.ads, a-llitio.ads, i-cexten.ads, a-coorma.adb, s-widboo.ads,
s-diflio.adb, g-souinf.ads, s-imgdec.ads, g-strhas.ads, a-cbhama.ads,
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a-locale.ads, a-tirsfi.ads, s-pack12.ads, s-valuti.adb, g-cppexc.adb,
system-vxworks-ppc.ads, g-memdum.adb, a-lfteio.ads, s-pack21.adb,
s-unstyp.ads, s-valuti.ads, g-cppexc.ads, system-hpux-ia64.ads,
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a-llizti.ads, a-numaux-libc-x86.ads, s-expint.adb, s-conca8.adb,
a-crbtgo.ads, s-pack30.adb, s-vallli.adb, s-geveop.adb, s-expint.ads,
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s-strhas.adb, s-geveop.ads, g-md5.adb, a-direio.ads, a-numaux.ads,
s-ransee.adb, a-szbzha.adb, i-cobol.adb, g-busorg.adb, s-strhas.ads,
g-md5.ads, s-widenu.adb, s-ransee.ads, s-widllu.adb, a-szbzha.ads,
a-ststio.adb, i-cobol.ads, g-busorg.ads, g-regpat.adb, s-widenu.ads,
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a-secain.ads, s-pack13.ads, g-encstr.ads, a-ztcoau.ads, s-widwch.ads,
g-io_aux.adb, s-atacco.ads, a-ncelfu.ads, interfac.ads, a-cborse.ads,
g-regexp.adb, s-pack22.adb, a-szuzti.adb, g-io_aux.ads, s-caun32.adb,
a-nselfu.ads, g-regexp.ads, s-pack22.ads, a-ticoio.adb, a-szuzti.ads,
g-diopit.adb, s-caun32.ads, s-conca9.adb, a-tags.adb, a-swmwco.ads,
a-sbecin.adb, s-pack31.adb, s-expuns.adb, a-ticoio.ads, s-valint.adb,
s-conca9.ads, g-diopit.ads, a-tags.ads, a-nllcef.ads, a-izteio.ads,
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s-flocon-none.adb, s-valint.ads, a-ssiwti.ads, s-mmosin-mingw.adb,
s-pack40.adb, s-pack05.adb, a-ztflau.adb, g-dyntab.ads,
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s-pack40.ads, a-diocst.adb, a-ztflau.ads, s-pack05.ads, a-nlcoty.ads,
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g-mbflra.adb, a-ztinau.adb, s-dim.ads, s-mantis.adb, a-stwisu.ads,
g-byorma.ads, s-atopri.adb, g-wistsp.ads, a-uncdea.ads, s-widcha.adb,
a-caldel.adb, s-regpat.ads, g-mbdira.ads, a-tiflio.adb, s-pack14.ads,
s-parame.adb, a-liwtio.ads, s-memory.adb, g-mbflra.ads, a-ztinau.ads,
a-wtgeau.adb, s-direio.adb, s-mantis.ads, s-atopri.ads, s-widcha.ads,
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s-regexp.ads, a-wtfiio.adb, a-comutr.adb, a-exexpr.adb, a-tiinio.ads,
a-ztmoau.adb, a-cohata.ads, a-wtfiio.ads, s-imgrea.adb, ada.ads,
a-szunau-shared.adb, a-comutr.ads, s-valuns.adb, a-ztmoau.ads,
system-linux-arm.ads, s-osprim-x32.adb, s-pack41.adb, s-pack06.adb,
s-imgrea.ads, s-valuns.ads, s-finroo.adb, s-caun16.adb, s-pooglo.adb,
a-zrstfi.adb, a-suenst.adb, s-pack41.ads, g-binenv.adb, s-pack06.ads,
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From-SVN: r251902
Diffstat (limited to 'gcc/ada/s-arit64.adb')
-rw-r--r-- | gcc/ada/s-arit64.adb | 605 |
1 files changed, 0 insertions, 605 deletions
diff --git a/gcc/ada/s-arit64.adb b/gcc/ada/s-arit64.adb deleted file mode 100644 index cbefe31..0000000 --- a/gcc/ada/s-arit64.adb +++ /dev/null @@ -1,605 +0,0 @@ ------------------------------------------------------------------------------- --- -- --- GNAT RUN-TIME COMPONENTS -- --- -- --- S Y S T E M . A R I T H _ 6 4 -- --- -- --- B o d y -- --- -- --- Copyright (C) 1992-2015, 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- -- --- ware Foundation; either version 3, or (at your option) any later ver- -- --- sion. GNAT is distributed in the hope that it will be useful, but WITH- -- --- OUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY -- --- or FITNESS FOR A PARTICULAR PURPOSE. -- --- -- --- As a special exception under Section 7 of GPL version 3, you are granted -- --- additional permissions described in the GCC Runtime Library Exception, -- --- version 3.1, as published by the Free Software Foundation. -- --- -- --- You should have received a copy of the GNU General Public License and -- --- a copy of the GCC Runtime Library Exception along with this program; -- --- see the files COPYING3 and COPYING.RUNTIME respectively. If not, see -- --- <http://www.gnu.org/licenses/>. -- --- -- --- GNAT was originally developed by the GNAT team at New York University. -- --- Extensive contributions were provided by Ada Core Technologies Inc. -- --- -- ------------------------------------------------------------------------------- - -with Interfaces; use Interfaces; - -with Ada.Unchecked_Conversion; - -package body System.Arith_64 is - - pragma Suppress (Overflow_Check); - pragma Suppress (Range_Check); - - subtype Uns64 is Unsigned_64; - function To_Uns is new Ada.Unchecked_Conversion (Int64, Uns64); - function To_Int is new Ada.Unchecked_Conversion (Uns64, Int64); - - subtype Uns32 is Unsigned_32; - - ----------------------- - -- Local Subprograms -- - ----------------------- - - function "+" (A, B : Uns32) return Uns64 is (Uns64 (A) + Uns64 (B)); - function "+" (A : Uns64; B : Uns32) return Uns64 is (A + Uns64 (B)); - -- Length doubling additions - - function "*" (A, B : Uns32) return Uns64 is (Uns64 (A) * Uns64 (B)); - -- Length doubling multiplication - - function "/" (A : Uns64; B : Uns32) return Uns64 is (A / Uns64 (B)); - -- Length doubling division - - function "&" (Hi, Lo : Uns32) return Uns64 is - (Shift_Left (Uns64 (Hi), 32) or Uns64 (Lo)); - -- Concatenate hi, lo values to form 64-bit result - - function "abs" (X : Int64) return Uns64 is - (if X = Int64'First then 2**63 else Uns64 (Int64'(abs X))); - -- Convert absolute value of X to unsigned. Note that we can't just use - -- the expression of the Else, because it overflows for X = Int64'First. - - function "rem" (A : Uns64; B : Uns32) return Uns64 is (A rem Uns64 (B)); - -- Length doubling remainder - - function Le3 (X1, X2, X3 : Uns32; Y1, Y2, Y3 : Uns32) return Boolean; - -- Determines if 96 bit value X1&X2&X3 <= Y1&Y2&Y3 - - function Lo (A : Uns64) return Uns32 is (Uns32 (A and 16#FFFF_FFFF#)); - -- Low order half of 64-bit value - - function Hi (A : Uns64) return Uns32 is (Uns32 (Shift_Right (A, 32))); - -- High order half of 64-bit value - - procedure Sub3 (X1, X2, X3 : in out Uns32; Y1, Y2, Y3 : Uns32); - -- Computes X1&X2&X3 := X1&X2&X3 - Y1&Y1&Y3 with mod 2**96 wrap - - function To_Neg_Int (A : Uns64) return Int64 with Inline; - -- Convert to negative integer equivalent. If the input is in the range - -- 0 .. 2 ** 63, then the corresponding negative signed integer (obtained - -- by negating the given value) is returned, otherwise constraint error - -- is raised. - - function To_Pos_Int (A : Uns64) return Int64 with Inline; - -- Convert to positive integer equivalent. If the input is in the range - -- 0 .. 2 ** 63-1, then the corresponding non-negative signed integer is - -- returned, otherwise constraint error is raised. - - procedure Raise_Error with Inline; - pragma No_Return (Raise_Error); - -- Raise constraint error with appropriate message - - -------------------------- - -- Add_With_Ovflo_Check -- - -------------------------- - - function Add_With_Ovflo_Check (X, Y : Int64) return Int64 is - R : constant Int64 := To_Int (To_Uns (X) + To_Uns (Y)); - - begin - if X >= 0 then - if Y < 0 or else R >= 0 then - return R; - end if; - - else -- X < 0 - if Y > 0 or else R < 0 then - return R; - end if; - end if; - - Raise_Error; - end Add_With_Ovflo_Check; - - ------------------- - -- Double_Divide -- - ------------------- - - procedure Double_Divide - (X, Y, Z : Int64; - Q, R : out Int64; - Round : Boolean) - is - Xu : constant Uns64 := abs X; - Yu : constant Uns64 := abs Y; - - Yhi : constant Uns32 := Hi (Yu); - Ylo : constant Uns32 := Lo (Yu); - - Zu : constant Uns64 := abs Z; - Zhi : constant Uns32 := Hi (Zu); - Zlo : constant Uns32 := Lo (Zu); - - T1, T2 : Uns64; - Du, Qu, Ru : Uns64; - Den_Pos : Boolean; - - begin - if Yu = 0 or else Zu = 0 then - Raise_Error; - end if; - - -- Compute Y * Z. Note that if the result overflows 64 bits unsigned, - -- then the rounded result is clearly zero (since the dividend is at - -- most 2**63 - 1, the extra bit of precision is nice here). - - if Yhi /= 0 then - if Zhi /= 0 then - Q := 0; - R := X; - return; - else - T2 := Yhi * Zlo; - end if; - - else - T2 := (if Zhi /= 0 then Ylo * Zhi else 0); - end if; - - T1 := Ylo * Zlo; - T2 := T2 + Hi (T1); - - if Hi (T2) /= 0 then - Q := 0; - R := X; - return; - end if; - - Du := Lo (T2) & Lo (T1); - - -- Set final signs (RM 4.5.5(27-30)) - - Den_Pos := (Y < 0) = (Z < 0); - - -- Check overflow case of largest negative number divided by 1 - - if X = Int64'First and then Du = 1 and then not Den_Pos then - Raise_Error; - end if; - - -- Perform the actual division - - Qu := Xu / Du; - Ru := Xu rem Du; - - -- Deal with rounding case - - if Round and then Ru > (Du - Uns64'(1)) / Uns64'(2) then - Qu := Qu + Uns64'(1); - end if; - - -- Case of dividend (X) sign positive - - if X >= 0 then - R := To_Int (Ru); - Q := (if Den_Pos then To_Int (Qu) else -To_Int (Qu)); - - -- Case of dividend (X) sign negative - - else - R := -To_Int (Ru); - Q := (if Den_Pos then -To_Int (Qu) else To_Int (Qu)); - end if; - end Double_Divide; - - --------- - -- Le3 -- - --------- - - function Le3 (X1, X2, X3 : Uns32; Y1, Y2, Y3 : Uns32) return Boolean is - begin - if X1 < Y1 then - return True; - elsif X1 > Y1 then - return False; - elsif X2 < Y2 then - return True; - elsif X2 > Y2 then - return False; - else - return X3 <= Y3; - end if; - end Le3; - - ------------------------------- - -- Multiply_With_Ovflo_Check -- - ------------------------------- - - function Multiply_With_Ovflo_Check (X, Y : Int64) return Int64 is - Xu : constant Uns64 := abs X; - Xhi : constant Uns32 := Hi (Xu); - Xlo : constant Uns32 := Lo (Xu); - - Yu : constant Uns64 := abs Y; - Yhi : constant Uns32 := Hi (Yu); - Ylo : constant Uns32 := Lo (Yu); - - T1, T2 : Uns64; - - begin - if Xhi /= 0 then - if Yhi /= 0 then - Raise_Error; - else - T2 := Xhi * Ylo; - end if; - - elsif Yhi /= 0 then - T2 := Xlo * Yhi; - - else -- Yhi = Xhi = 0 - T2 := 0; - end if; - - -- Here we have T2 set to the contribution to the upper half of the - -- result from the upper halves of the input values. - - T1 := Xlo * Ylo; - T2 := T2 + Hi (T1); - - if Hi (T2) /= 0 then - Raise_Error; - end if; - - T2 := Lo (T2) & Lo (T1); - - if X >= 0 then - if Y >= 0 then - return To_Pos_Int (T2); - else - return To_Neg_Int (T2); - end if; - else -- X < 0 - if Y < 0 then - return To_Pos_Int (T2); - else - return To_Neg_Int (T2); - end if; - end if; - - end Multiply_With_Ovflo_Check; - - ----------------- - -- Raise_Error -- - ----------------- - - procedure Raise_Error is - begin - raise Constraint_Error with "64-bit arithmetic overflow"; - end Raise_Error; - - ------------------- - -- Scaled_Divide -- - ------------------- - - procedure Scaled_Divide - (X, Y, Z : Int64; - Q, R : out Int64; - Round : Boolean) - is - Xu : constant Uns64 := abs X; - Xhi : constant Uns32 := Hi (Xu); - Xlo : constant Uns32 := Lo (Xu); - - Yu : constant Uns64 := abs Y; - Yhi : constant Uns32 := Hi (Yu); - Ylo : constant Uns32 := Lo (Yu); - - Zu : Uns64 := abs Z; - Zhi : Uns32 := Hi (Zu); - Zlo : Uns32 := Lo (Zu); - - D : array (1 .. 4) of Uns32; - -- The dividend, four digits (D(1) is high order) - - Qd : array (1 .. 2) of Uns32; - -- The quotient digits, two digits (Qd(1) is high order) - - S1, S2, S3 : Uns32; - -- Value to subtract, three digits (S1 is high order) - - Qu : Uns64; - Ru : Uns64; - -- Unsigned quotient and remainder - - Scale : Natural; - -- Scaling factor used for multiple-precision divide. Dividend and - -- Divisor are multiplied by 2 ** Scale, and the final remainder is - -- divided by the scaling factor. The reason for this scaling is to - -- allow more accurate estimation of quotient digits. - - T1, T2, T3 : Uns64; - -- Temporary values - - begin - -- First do the multiplication, giving the four digit dividend - - T1 := Xlo * Ylo; - D (4) := Lo (T1); - D (3) := Hi (T1); - - if Yhi /= 0 then - T1 := Xlo * Yhi; - T2 := D (3) + Lo (T1); - D (3) := Lo (T2); - D (2) := Hi (T1) + Hi (T2); - - if Xhi /= 0 then - T1 := Xhi * Ylo; - T2 := D (3) + Lo (T1); - D (3) := Lo (T2); - T3 := D (2) + Hi (T1); - T3 := T3 + Hi (T2); - D (2) := Lo (T3); - D (1) := Hi (T3); - - T1 := (D (1) & D (2)) + Uns64'(Xhi * Yhi); - D (1) := Hi (T1); - D (2) := Lo (T1); - - else - D (1) := 0; - end if; - - else - if Xhi /= 0 then - T1 := Xhi * Ylo; - T2 := D (3) + Lo (T1); - D (3) := Lo (T2); - D (2) := Hi (T1) + Hi (T2); - - else - D (2) := 0; - end if; - - D (1) := 0; - end if; - - -- Now it is time for the dreaded multiple precision division. First an - -- easy case, check for the simple case of a one digit divisor. - - if Zhi = 0 then - if D (1) /= 0 or else D (2) >= Zlo then - Raise_Error; - - -- Here we are dividing at most three digits by one digit - - else - T1 := D (2) & D (3); - T2 := Lo (T1 rem Zlo) & D (4); - - Qu := Lo (T1 / Zlo) & Lo (T2 / Zlo); - Ru := T2 rem Zlo; - end if; - - -- If divisor is double digit and too large, raise error - - elsif (D (1) & D (2)) >= Zu then - Raise_Error; - - -- This is the complex case where we definitely have a double digit - -- divisor and a dividend of at least three digits. We use the classical - -- multiple division algorithm (see section (4.3.1) of Knuth's "The Art - -- of Computer Programming", Vol. 2 for a description (algorithm D). - - else - -- First normalize the divisor so that it has the leading bit on. - -- We do this by finding the appropriate left shift amount. - - Scale := 0; - - if (Zhi and 16#FFFF0000#) = 0 then - Scale := 16; - Zu := Shift_Left (Zu, 16); - end if; - - if (Hi (Zu) and 16#FF00_0000#) = 0 then - Scale := Scale + 8; - Zu := Shift_Left (Zu, 8); - end if; - - if (Hi (Zu) and 16#F000_0000#) = 0 then - Scale := Scale + 4; - Zu := Shift_Left (Zu, 4); - end if; - - if (Hi (Zu) and 16#C000_0000#) = 0 then - Scale := Scale + 2; - Zu := Shift_Left (Zu, 2); - end if; - - if (Hi (Zu) and 16#8000_0000#) = 0 then - Scale := Scale + 1; - Zu := Shift_Left (Zu, 1); - end if; - - Zhi := Hi (Zu); - Zlo := Lo (Zu); - - -- Note that when we scale up the dividend, it still fits in four - -- digits, since we already tested for overflow, and scaling does - -- not change the invariant that (D (1) & D (2)) >= Zu. - - T1 := Shift_Left (D (1) & D (2), Scale); - D (1) := Hi (T1); - T2 := Shift_Left (0 & D (3), Scale); - D (2) := Lo (T1) or Hi (T2); - T3 := Shift_Left (0 & D (4), Scale); - D (3) := Lo (T2) or Hi (T3); - D (4) := Lo (T3); - - -- Loop to compute quotient digits, runs twice for Qd(1) and Qd(2) - - for J in 0 .. 1 loop - - -- Compute next quotient digit. We have to divide three digits by - -- two digits. We estimate the quotient by dividing the leading - -- two digits by the leading digit. Given the scaling we did above - -- which ensured the first bit of the divisor is set, this gives - -- an estimate of the quotient that is at most two too high. - - Qd (J + 1) := (if D (J + 1) = Zhi - then 2 ** 32 - 1 - else Lo ((D (J + 1) & D (J + 2)) / Zhi)); - - -- Compute amount to subtract - - T1 := Qd (J + 1) * Zlo; - T2 := Qd (J + 1) * Zhi; - S3 := Lo (T1); - T1 := Hi (T1) + Lo (T2); - S2 := Lo (T1); - S1 := Hi (T1) + Hi (T2); - - -- Adjust quotient digit if it was too high - - loop - exit when Le3 (S1, S2, S3, D (J + 1), D (J + 2), D (J + 3)); - Qd (J + 1) := Qd (J + 1) - 1; - Sub3 (S1, S2, S3, 0, Zhi, Zlo); - end loop; - - -- Now subtract S1&S2&S3 from D1&D2&D3 ready for next step - - Sub3 (D (J + 1), D (J + 2), D (J + 3), S1, S2, S3); - end loop; - - -- The two quotient digits are now set, and the remainder of the - -- scaled division is in D3&D4. To get the remainder for the - -- original unscaled division, we rescale this dividend. - - -- We rescale the divisor as well, to make the proper comparison - -- for rounding below. - - Qu := Qd (1) & Qd (2); - Ru := Shift_Right (D (3) & D (4), Scale); - Zu := Shift_Right (Zu, Scale); - end if; - - -- Deal with rounding case - - if Round and then Ru > (Zu - Uns64'(1)) / Uns64'(2) then - Qu := Qu + Uns64 (1); - end if; - - -- Set final signs (RM 4.5.5(27-30)) - - -- Case of dividend (X * Y) sign positive - - if (X >= 0 and then Y >= 0) or else (X < 0 and then Y < 0) then - R := To_Pos_Int (Ru); - Q := (if Z > 0 then To_Pos_Int (Qu) else To_Neg_Int (Qu)); - - -- Case of dividend (X * Y) sign negative - - else - R := To_Neg_Int (Ru); - Q := (if Z > 0 then To_Neg_Int (Qu) else To_Pos_Int (Qu)); - end if; - end Scaled_Divide; - - ---------- - -- Sub3 -- - ---------- - - procedure Sub3 (X1, X2, X3 : in out Uns32; Y1, Y2, Y3 : Uns32) is - begin - if Y3 > X3 then - if X2 = 0 then - X1 := X1 - 1; - end if; - - X2 := X2 - 1; - end if; - - X3 := X3 - Y3; - - if Y2 > X2 then - X1 := X1 - 1; - end if; - - X2 := X2 - Y2; - X1 := X1 - Y1; - end Sub3; - - ------------------------------- - -- Subtract_With_Ovflo_Check -- - ------------------------------- - - function Subtract_With_Ovflo_Check (X, Y : Int64) return Int64 is - R : constant Int64 := To_Int (To_Uns (X) - To_Uns (Y)); - - begin - if X >= 0 then - if Y > 0 or else R >= 0 then - return R; - end if; - - else -- X < 0 - if Y <= 0 or else R < 0 then - return R; - end if; - end if; - - Raise_Error; - end Subtract_With_Ovflo_Check; - - ---------------- - -- To_Neg_Int -- - ---------------- - - function To_Neg_Int (A : Uns64) return Int64 is - R : constant Int64 := (if A = 2**63 then Int64'First else -To_Int (A)); - -- Note that we can't just use the expression of the Else, because it - -- overflows for A = 2**63. - begin - if R <= 0 then - return R; - else - Raise_Error; - end if; - end To_Neg_Int; - - ---------------- - -- To_Pos_Int -- - ---------------- - - function To_Pos_Int (A : Uns64) return Int64 is - R : constant Int64 := To_Int (A); - begin - if R >= 0 then - return R; - else - Raise_Error; - end if; - end To_Pos_Int; - -end System.Arith_64; |