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authorNicolas Roche <roche@adacore.com>2017-09-08 15:12:17 +0000
committerArnaud Charlet <charlet@gcc.gnu.org>2017-09-08 17:12:17 +0200
commitedcc77dbd9f95301a8be1a2f2b0d774680b46a1a (patch)
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parent9f00251a8e71aa96e243cb1e95dadbdbad8ada4f (diff)
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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, 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diff --git a/gcc/ada/s-arit64.adb b/gcc/ada/s-arit64.adb
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-------------------------------------------------------------------------------
--- --
--- 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;