aboutsummaryrefslogtreecommitdiffstats
path: root/gcc-4.9/libgcc/config/libbid/bid_div_macros.h
diff options
context:
space:
mode:
Diffstat (limited to 'gcc-4.9/libgcc/config/libbid/bid_div_macros.h')
-rw-r--r--gcc-4.9/libgcc/config/libbid/bid_div_macros.h540
1 files changed, 540 insertions, 0 deletions
diff --git a/gcc-4.9/libgcc/config/libbid/bid_div_macros.h b/gcc-4.9/libgcc/config/libbid/bid_div_macros.h
new file mode 100644
index 000000000..e8404f364
--- /dev/null
+++ b/gcc-4.9/libgcc/config/libbid/bid_div_macros.h
@@ -0,0 +1,540 @@
+/* Copyright (C) 2007-2014 Free Software Foundation, Inc.
+
+This file is part of GCC.
+
+GCC is free software; you can redistribute it and/or modify it under
+the terms of the GNU General Public License as published by the Free
+Software Foundation; either version 3, or (at your option) any later
+version.
+
+GCC 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.
+
+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/>. */
+
+#ifndef _DIV_MACROS_H_
+#define _DIV_MACROS_H_
+
+#include "bid_internal.h"
+
+#define FENCE __fence
+//#define FENCE
+
+//#define DOUBLE_EXTENDED_ON
+
+#if DOUBLE_EXTENDED_ON
+
+
+__BID_INLINE__ void
+__div_128_by_128 (UINT128 * pCQ, UINT128 * pCR, UINT128 CX, UINT128 CY) {
+ UINT128 CB, CB2, CB4, CB8, CQB, CA;
+ int_double d64, dm64, ds;
+ int_float t64;
+ double dx, dq, dqh;
+ BINARY80 lq, lx, ly;
+ UINT64 Rh, R, B2, B4, Ph, Ql, Ql2, carry, Qh;
+
+ if (!CY.w[1]) {
+ pCR->w[1] = 0;
+
+ if (!CX.w[1]) {
+ pCQ->w[0] = CX.w[0] / CY.w[0];
+ pCQ->w[1] = 0;
+ pCR->w[1] = 0;
+ pCR->w[0] = CX.w[0] - pCQ->w[0] * CY.w[0];
+ } else {
+
+ // This path works for CX<2^116 only
+
+ // 2^64
+ d64.i = 0x43f0000000000000;
+ // 2^64
+ dm64.i = 0x3bf0000000000000;
+ // 1.5*2^(-52)
+ ds.i = 0x3cb8000000000000;
+ dx = (BINARY80) CX.w[1] * d64.d + (BINARY80) CX.w[0];
+ dq = dx / (BINARY80) CY.w[0];
+ dq -= dq * (ds.d);
+ dqh = dq * dm64.d;
+ Qh = (UINT64) dqh;
+ Ql = (UINT64) (dq - ((double) Qh) * d64.d);
+
+ Rh = CX.w[0] - Ql * CY.w[0];
+ Ql2 = Rh / CY.w[0];
+ pCR->w[0] = Rh - Ql2 * CY.w[0];
+ __add_carry_out ((pCQ->w[0]), carry, Ql, Ql2);
+ pCQ->w[1] = Qh + carry;
+
+ }
+ return;
+ }
+ // now CY.w[1] > 0
+
+ // 2^64
+ t64.i = 0x5f800000;
+ lx = (BINARY80) CX.w[1] * (BINARY80) t64.d + (BINARY80) CX.w[0];
+ ly = (BINARY80) CY.w[1] * (BINARY80) t64.d + (BINARY80) CY.w[0];
+ lq = lx / ly;
+ pCQ->w[0] = (UINT64) lq;
+
+ pCQ->w[1] = 0;
+
+ if (!pCQ->w[0]) {
+ /*if(__unsigned_compare_ge_128(CX,CY))
+ {
+ pCQ->w[0] = 1;
+ __sub_128_128((*pCR), CX, CY);
+ }
+ else */
+ {
+ pCR->w[1] = CX.w[1];
+ pCR->w[0] = CX.w[0];
+ }
+ return;
+ }
+
+ if (CY.w[1] >= 16 || pCQ->w[0] <= 0x1000000000000000ull) {
+ pCQ->w[0] = (UINT64) lq - 1;
+ __mul_64x128_full (Ph, CQB, (pCQ->w[0]), CY);
+ __sub_128_128 (CA, CX, CQB);
+ if (__unsigned_compare_ge_128 (CA, CY)) {
+ __sub_128_128 (CA, CA, CY);
+ pCQ->w[0]++;
+ if (__unsigned_compare_ge_128 (CA, CY)) {
+ __sub_128_128 (CA, CA, CY);
+ pCQ->w[0]++;
+ }
+ }
+ pCR->w[1] = CA.w[1];
+ pCR->w[0] = CA.w[0];
+ } else {
+ pCQ->w[0] = (UINT64) lq - 6;
+
+ __mul_64x128_full (Ph, CQB, (pCQ->w[0]), CY);
+ __sub_128_128 (CA, CX, CQB);
+
+ CB8.w[1] = (CY.w[1] << 3) | (CY.w[0] >> 61);
+ CB8.w[0] = CY.w[0] << 3;
+ CB4.w[1] = (CY.w[1] << 2) | (CY.w[0] >> 62);
+ CB4.w[0] = CY.w[0] << 2;
+ CB2.w[1] = (CY.w[1] << 1) | (CY.w[0] >> 63);
+ CB2.w[0] = CY.w[0] << 1;
+
+ if (__unsigned_compare_ge_128 (CA, CB8)) {
+ pCQ->w[0] += 8;
+ __sub_128_128 (CA, CA, CB8);
+ }
+ if (__unsigned_compare_ge_128 (CA, CB4)) {
+ pCQ->w[0] += 4;
+ __sub_128_128 (CA, CA, CB4);
+ }
+ if (__unsigned_compare_ge_128 (CA, CB2)) {
+ pCQ->w[0] += 2;
+ __sub_128_128 (CA, CA, CB2);
+ }
+ if (__unsigned_compare_ge_128 (CA, CY)) {
+ pCQ->w[0] += 1;
+ __sub_128_128 (CA, CA, CY);
+ }
+
+ pCR->w[1] = CA.w[1];
+ pCR->w[0] = CA.w[0];
+ }
+}
+
+
+
+
+
+
+__BID_INLINE__ void
+__div_256_by_128 (UINT128 * pCQ, UINT256 * pCA4, UINT128 CY) {
+ UINT256 CQ2Y;
+ UINT128 CQ2, CQ3Y;
+ UINT64 Q3, carry64;
+ int_double d64;
+ BINARY80 lx, ly, lq, l64, l128;
+
+ // 2^64
+ d64.i = 0x43f0000000000000ull;
+ l64 = (BINARY80) d64.d;
+ // 2^128
+ l128 = l64 * l64;
+
+ lx =
+ ((BINARY80) (*pCA4).w[3] * l64 +
+ (BINARY80) (*pCA4).w[2]) * l128 +
+ (BINARY80) (*pCA4).w[1] * l64 + (BINARY80) (*pCA4).w[0];
+ ly = (BINARY80) CY.w[1] * l128 + (BINARY80) CY.w[0] * l64;
+
+ lq = lx / ly;
+ CQ2.w[1] = (UINT64) lq;
+ lq = (lq - CQ2.w[1]) * l64;
+ CQ2.w[0] = (UINT64) lq;
+
+ // CQ2*CY
+ __mul_128x128_to_256 (CQ2Y, CY, CQ2);
+
+ // CQ2Y <= (*pCA4) ?
+ if (CQ2Y.w[3] < (*pCA4).w[3]
+ || (CQ2Y.w[3] == (*pCA4).w[3]
+ && (CQ2Y.w[2] < (*pCA4).w[2]
+ || (CQ2Y.w[2] == (*pCA4).w[2]
+ && (CQ2Y.w[1] < (*pCA4).w[1]
+ || (CQ2Y.w[1] == (*pCA4).w[1]
+ && (CQ2Y.w[0] <= (*pCA4).w[0]))))))) {
+
+ // (*pCA4) -CQ2Y, guaranteed below 5*2^49*CY < 5*2^(49+128)
+ __sub_borrow_out ((*pCA4).w[0], carry64, (*pCA4).w[0], CQ2Y.w[0]);
+ __sub_borrow_in_out ((*pCA4).w[1], carry64, (*pCA4).w[1], CQ2Y.w[1],
+ carry64);
+ (*pCA4).w[2] = (*pCA4).w[2] - CQ2Y.w[2] - carry64;
+
+ lx = ((BINARY80) (*pCA4).w[2] * l128 +
+ ((BINARY80) (*pCA4).w[1] * l64 +
+ (BINARY80) (*pCA4).w[0])) * l64;
+ lq = lx / ly;
+ Q3 = (UINT64) lq;
+
+ if (Q3) {
+ Q3--;
+ __mul_64x128_short (CQ3Y, Q3, CY);
+ __sub_borrow_out ((*pCA4).w[0], carry64, (*pCA4).w[0], CQ3Y.w[0]);
+ (*pCA4).w[1] = (*pCA4).w[1] - CQ3Y.w[1] - carry64;
+
+ if ((*pCA4).w[1] > CY.w[1]
+ || ((*pCA4).w[1] == CY.w[1] && (*pCA4).w[0] >= CY.w[0])) {
+ Q3++;
+ __sub_borrow_out ((*pCA4).w[0], carry64, (*pCA4).w[0], CY.w[0]);
+ (*pCA4).w[1] = (*pCA4).w[1] - CY.w[1] - carry64;
+ if ((*pCA4).w[1] > CY.w[1]
+ || ((*pCA4).w[1] == CY.w[1] && (*pCA4).w[0] >= CY.w[0])) {
+ Q3++;
+ __sub_borrow_out ((*pCA4).w[0], carry64, (*pCA4).w[0],
+ CY.w[0]);
+ (*pCA4).w[1] = (*pCA4).w[1] - CY.w[1] - carry64;
+ }
+ }
+ // add Q3 to Q2
+ __add_carry_out (CQ2.w[0], carry64, Q3, CQ2.w[0]);
+ CQ2.w[1] += carry64;
+ }
+ } else {
+ // CQ2Y - (*pCA4), guaranteed below 5*2^(49+128)
+ __sub_borrow_out ((*pCA4).w[0], carry64, CQ2Y.w[0], (*pCA4).w[0]);
+ __sub_borrow_in_out ((*pCA4).w[1], carry64, CQ2Y.w[1], (*pCA4).w[1],
+ carry64);
+ (*pCA4).w[2] = CQ2Y.w[2] - (*pCA4).w[2] - carry64;
+
+ lx =
+ ((BINARY80) (*pCA4).w[2] * l128 +
+ (BINARY80) (*pCA4).w[1] * l64 + (BINARY80) (*pCA4).w[0]) * l64;
+ lq = lx / ly;
+ Q3 = 1 + (UINT64) lq;
+
+ __mul_64x128_short (CQ3Y, Q3, CY);
+ __sub_borrow_out ((*pCA4).w[0], carry64, CQ3Y.w[0], (*pCA4).w[0]);
+ (*pCA4).w[1] = CQ3Y.w[1] - (*pCA4).w[1] - carry64;
+
+ if ((SINT64) (*pCA4).w[1] > (SINT64) CY.w[1]
+ || ((*pCA4).w[1] == CY.w[1] && (*pCA4).w[0] >= CY.w[0])) {
+ Q3--;
+ __sub_borrow_out ((*pCA4).w[0], carry64, (*pCA4).w[0], CY.w[0]);
+ (*pCA4).w[1] = (*pCA4).w[1] - CY.w[1] - carry64;
+ } else if ((SINT64) (*pCA4).w[1] < 0) {
+ Q3++;
+ __add_carry_out ((*pCA4).w[0], carry64, (*pCA4).w[0], CY.w[0]);
+ (*pCA4).w[1] = (*pCA4).w[1] + CY.w[1] + carry64;
+ }
+ // subtract Q3 from Q2
+ __sub_borrow_out (CQ2.w[0], carry64, CQ2.w[0], Q3);
+ CQ2.w[1] -= carry64;
+ }
+
+ // (*pCQ) + CQ2 + carry
+ __add_carry_out ((*pCQ).w[0], carry64, CQ2.w[0], (*pCQ).w[0]);
+ (*pCQ).w[1] = (*pCQ).w[1] + CQ2.w[1] + carry64;
+
+
+}
+#else
+
+__BID_INLINE__ void
+__div_128_by_128 (UINT128 * pCQ, UINT128 * pCR, UINT128 CX0, UINT128 CY) {
+ UINT128 CY36, CY51, CQ, A2, CX, CQT;
+ UINT64 Q;
+ int_double t64, d49, d60;
+ double lx, ly, lq;
+
+ if (!CX0.w[1] && !CY.w[1]) {
+ pCQ->w[0] = CX0.w[0] / CY.w[0];
+ pCQ->w[1] = 0;
+ pCR->w[1] = pCR->w[0] = 0;
+ pCR->w[0] = CX0.w[0] - pCQ->w[0] * CY.w[0];
+ return;
+ }
+
+ CX.w[1] = CX0.w[1];
+ CX.w[0] = CX0.w[0];
+
+ // 2^64
+ t64.i = 0x43f0000000000000ull;
+ lx = (double) CX.w[1] * t64.d + (double) CX.w[0];
+ ly = (double) CY.w[1] * t64.d + (double) CY.w[0];
+ lq = lx / ly;
+
+ CY36.w[1] = CY.w[0] >> (64 - 36);
+ CY36.w[0] = CY.w[0] << 36;
+
+ CQ.w[1] = CQ.w[0] = 0;
+
+ // Q >= 2^100 ?
+ if (!CY.w[1] && !CY36.w[1] && (CX.w[1] >= CY36.w[0])) {
+ // then Q >= 2^100
+
+ // 2^(-60)*CX/CY
+ d60.i = 0x3c30000000000000ull;
+ lq *= d60.d;
+ Q = (UINT64) lq - 4ull;
+
+ // Q*CY
+ __mul_64x64_to_128 (A2, Q, CY.w[0]);
+
+ // A2 <<= 60
+ A2.w[1] = (A2.w[1] << 60) | (A2.w[0] >> (64 - 60));
+ A2.w[0] <<= 60;
+
+ __sub_128_128 (CX, CX, A2);
+
+ lx = (double) CX.w[1] * t64.d + (double) CX.w[0];
+ lq = lx / ly;
+
+ CQ.w[1] = Q >> (64 - 60);
+ CQ.w[0] = Q << 60;
+ }
+
+
+ CY51.w[1] = (CY.w[1] << 51) | (CY.w[0] >> (64 - 51));
+ CY51.w[0] = CY.w[0] << 51;
+
+ if (CY.w[1] < (UINT64) (1 << (64 - 51))
+ && (__unsigned_compare_gt_128 (CX, CY51))) {
+ // Q > 2^51
+
+ // 2^(-49)*CX/CY
+ d49.i = 0x3ce0000000000000ull;
+ lq *= d49.d;
+
+ Q = (UINT64) lq - 1ull;
+
+ // Q*CY
+ __mul_64x64_to_128 (A2, Q, CY.w[0]);
+ A2.w[1] += Q * CY.w[1];
+
+ // A2 <<= 49
+ A2.w[1] = (A2.w[1] << 49) | (A2.w[0] >> (64 - 49));
+ A2.w[0] <<= 49;
+
+ __sub_128_128 (CX, CX, A2);
+
+ CQT.w[1] = Q >> (64 - 49);
+ CQT.w[0] = Q << 49;
+ __add_128_128 (CQ, CQ, CQT);
+
+ lx = (double) CX.w[1] * t64.d + (double) CX.w[0];
+ lq = lx / ly;
+ }
+
+ Q = (UINT64) lq;
+
+ __mul_64x64_to_128 (A2, Q, CY.w[0]);
+ A2.w[1] += Q * CY.w[1];
+
+ __sub_128_128 (CX, CX, A2);
+ if ((SINT64) CX.w[1] < 0) {
+ Q--;
+ CX.w[0] += CY.w[0];
+ if (CX.w[0] < CY.w[0])
+ CX.w[1]++;
+ CX.w[1] += CY.w[1];
+ if ((SINT64) CX.w[1] < 0) {
+ Q--;
+ CX.w[0] += CY.w[0];
+ if (CX.w[0] < CY.w[0])
+ CX.w[1]++;
+ CX.w[1] += CY.w[1];
+ }
+ } else if (__unsigned_compare_ge_128 (CX, CY)) {
+ Q++;
+ __sub_128_128 (CX, CX, CY);
+ }
+
+ __add_128_64 (CQ, CQ, Q);
+
+
+ pCQ->w[1] = CQ.w[1];
+ pCQ->w[0] = CQ.w[0];
+ pCR->w[1] = CX.w[1];
+ pCR->w[0] = CX.w[0];
+ return;
+}
+
+
+__BID_INLINE__ void
+__div_256_by_128 (UINT128 * pCQ, UINT256 * pCA4, UINT128 CY) {
+ UINT256 CA4, CA2, CY51, CY36;
+ UINT128 CQ, A2, A2h, CQT;
+ UINT64 Q, carry64;
+ int_double t64, d49, d60;
+ double lx, ly, lq, d128, d192;
+
+ // the quotient is assumed to be at most 113 bits,
+ // as needed by BID128 divide routines
+
+ // initial dividend
+ CA4.w[3] = (*pCA4).w[3];
+ CA4.w[2] = (*pCA4).w[2];
+ CA4.w[1] = (*pCA4).w[1];
+ CA4.w[0] = (*pCA4).w[0];
+ CQ.w[1] = (*pCQ).w[1];
+ CQ.w[0] = (*pCQ).w[0];
+
+ // 2^64
+ t64.i = 0x43f0000000000000ull;
+ d128 = t64.d * t64.d;
+ d192 = d128 * t64.d;
+ lx = (double) CA4.w[3] * d192 + ((double) CA4.w[2] * d128 +
+ ((double) CA4.w[1] * t64.d +
+ (double) CA4.w[0]));
+ ly = (double) CY.w[1] * t64.d + (double) CY.w[0];
+ lq = lx / ly;
+
+ CY36.w[2] = CY.w[1] >> (64 - 36);
+ CY36.w[1] = (CY.w[1] << 36) | (CY.w[0] >> (64 - 36));
+ CY36.w[0] = CY.w[0] << 36;
+
+ CQ.w[1] = (*pCQ).w[1];
+ CQ.w[0] = (*pCQ).w[0];
+
+ // Q >= 2^100 ?
+ if (CA4.w[3] > CY36.w[2]
+ || (CA4.w[3] == CY36.w[2]
+ && (CA4.w[2] > CY36.w[1]
+ || (CA4.w[2] == CY36.w[1] && CA4.w[1] >= CY36.w[0])))) {
+ // 2^(-60)*CA4/CY
+ d60.i = 0x3c30000000000000ull;
+ lq *= d60.d;
+ Q = (UINT64) lq - 4ull;
+
+ // Q*CY
+ __mul_64x128_to_192 (CA2, Q, CY);
+
+ // CA2 <<= 60
+ // CA2.w[3] = CA2.w[2] >> (64-60);
+ CA2.w[2] = (CA2.w[2] << 60) | (CA2.w[1] >> (64 - 60));
+ CA2.w[1] = (CA2.w[1] << 60) | (CA2.w[0] >> (64 - 60));
+ CA2.w[0] <<= 60;
+
+ // CA4 -= CA2
+ __sub_borrow_out (CA4.w[0], carry64, CA4.w[0], CA2.w[0]);
+ __sub_borrow_in_out (CA4.w[1], carry64, CA4.w[1], CA2.w[1],
+ carry64);
+ CA4.w[2] = CA4.w[2] - CA2.w[2] - carry64;
+
+ lx = ((double) CA4.w[2] * d128 +
+ ((double) CA4.w[1] * t64.d + (double) CA4.w[0]));
+ lq = lx / ly;
+
+ CQT.w[1] = Q >> (64 - 60);
+ CQT.w[0] = Q << 60;
+ __add_128_128 (CQ, CQ, CQT);
+ }
+
+ CY51.w[2] = CY.w[1] >> (64 - 51);
+ CY51.w[1] = (CY.w[1] << 51) | (CY.w[0] >> (64 - 51));
+ CY51.w[0] = CY.w[0] << 51;
+
+ if (CA4.w[2] > CY51.w[2] || ((CA4.w[2] == CY51.w[2])
+ &&
+ (__unsigned_compare_gt_128 (CA4, CY51))))
+ {
+ // Q > 2^51
+
+ // 2^(-49)*CA4/CY
+ d49.i = 0x3ce0000000000000ull;
+ lq *= d49.d;
+
+ Q = (UINT64) lq - 1ull;
+
+ // Q*CY
+ __mul_64x64_to_128 (A2, Q, CY.w[0]);
+ __mul_64x64_to_128 (A2h, Q, CY.w[1]);
+ A2.w[1] += A2h.w[0];
+ if (A2.w[1] < A2h.w[0])
+ A2h.w[1]++;
+
+ // A2 <<= 49
+ CA2.w[2] = (A2h.w[1] << 49) | (A2.w[1] >> (64 - 49));
+ CA2.w[1] = (A2.w[1] << 49) | (A2.w[0] >> (64 - 49));
+ CA2.w[0] = A2.w[0] << 49;
+
+ __sub_borrow_out (CA4.w[0], carry64, CA4.w[0], CA2.w[0]);
+ __sub_borrow_in_out (CA4.w[1], carry64, CA4.w[1], CA2.w[1],
+ carry64);
+ CA4.w[2] = CA4.w[2] - CA2.w[2] - carry64;
+
+ CQT.w[1] = Q >> (64 - 49);
+ CQT.w[0] = Q << 49;
+ __add_128_128 (CQ, CQ, CQT);
+
+ lx = ((double) CA4.w[2] * d128 +
+ ((double) CA4.w[1] * t64.d + (double) CA4.w[0]));
+ lq = lx / ly;
+ }
+
+ Q = (UINT64) lq;
+ __mul_64x64_to_128 (A2, Q, CY.w[0]);
+ A2.w[1] += Q * CY.w[1];
+
+ __sub_128_128 (CA4, CA4, A2);
+ if ((SINT64) CA4.w[1] < 0) {
+ Q--;
+ CA4.w[0] += CY.w[0];
+ if (CA4.w[0] < CY.w[0])
+ CA4.w[1]++;
+ CA4.w[1] += CY.w[1];
+ if ((SINT64) CA4.w[1] < 0) {
+ Q--;
+ CA4.w[0] += CY.w[0];
+ if (CA4.w[0] < CY.w[0])
+ CA4.w[1]++;
+ CA4.w[1] += CY.w[1];
+ }
+ } else if (__unsigned_compare_ge_128 (CA4, CY)) {
+ Q++;
+ __sub_128_128 (CA4, CA4, CY);
+ }
+
+ __add_128_64 (CQ, CQ, Q);
+
+ pCQ->w[1] = CQ.w[1];
+ pCQ->w[0] = CQ.w[0];
+ pCA4->w[1] = CA4.w[1];
+ pCA4->w[0] = CA4.w[0];
+ return;
+
+
+
+}
+
+#endif
+#endif
generated by cgit v1.2.3 (git 2.25.1) at 2024-04-19 01:36:03 +0000