--- /dev/null
+/* Copyright (C) 2007, 2009 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/>. */
+
+#include "bid_internal.h"
+
+/*****************************************************************************
+ * BID64_round_integral_exact
+ ****************************************************************************/
+
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_from_int32 (UINT64 * pres,
+ int *px _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ int x = *px;
+#else
+UINT64
+bid64_from_int32 (int x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ UINT64 res;
+
+ // if integer is negative, put the absolute value
+ // in the lowest 32bits of the result
+ if ((x & SIGNMASK32) == SIGNMASK32) {
+ // negative int32
+ x = ~x + 1; // 2's complement of x
+ res = (unsigned int) x | 0xb1c0000000000000ull;
+ // (exp << 53)) = biased exp. is 0
+ } else { // positive int32
+ res = x | 0x31c0000000000000ull; // (exp << 53)) = biased exp. is 0
+ }
+ BID_RETURN (res);
+}
+
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_from_uint32 (UINT64 * pres, unsigned int *px
+ _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ unsigned int x = *px;
+#else
+UINT64
+bid64_from_uint32 (unsigned int x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ UINT64 res;
+
+ res = x | 0x31c0000000000000ull; // (exp << 53)) = biased exp. is 0
+ BID_RETURN (res);
+}
+
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_from_int64 (UINT64 * pres, SINT64 * px
+ _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
+ _EXC_INFO_PARAM) {
+ SINT64 x = *px;
+#if !DECIMAL_GLOBAL_ROUNDING
+ unsigned int rnd_mode = *prnd_mode;
+#endif
+#else
+UINT64
+bid64_from_int64 (SINT64 x
+ _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
+ _EXC_INFO_PARAM) {
+#endif
+
+ UINT64 res;
+ UINT64 x_sign, C;
+ unsigned int q, ind;
+ int incr_exp = 0;
+ int is_midpoint_lt_even = 0, is_midpoint_gt_even = 0;
+ int is_inexact_lt_midpoint = 0, is_inexact_gt_midpoint = 0;
+
+ x_sign = x & 0x8000000000000000ull;
+ // if the integer is negative, use the absolute value
+ if (x_sign)
+ C = ~((UINT64) x) + 1;
+ else
+ C = x;
+ if (C <= BID64_SIG_MAX) { // |C| <= 10^16-1 and the result is exact
+ if (C < 0x0020000000000000ull) { // C < 2^53
+ res = x_sign | 0x31c0000000000000ull | C;
+ } else { // C >= 2^53
+ res =
+ x_sign | 0x6c70000000000000ull | (C & 0x0007ffffffffffffull);
+ }
+ } else { // |C| >= 10^16 and the result may be inexact
+ // the smallest |C| is 10^16 which has 17 decimal digits
+ // the largest |C| is 0x8000000000000000 = 9223372036854775808 w/ 19 digits
+ if (C < 0x16345785d8a0000ull) { // x < 10^17
+ q = 17;
+ ind = 1; // number of digits to remove for q = 17
+ } else if (C < 0xde0b6b3a7640000ull) { // C < 10^18
+ q = 18;
+ ind = 2; // number of digits to remove for q = 18
+ } else { // C < 10^19
+ q = 19;
+ ind = 3; // number of digits to remove for q = 19
+ }
+ // overflow and underflow are not possible
+ // Note: performace can be improved by inlining this call
+ round64_2_18 ( // will work for 19 digits too if C fits in 64 bits
+ q, ind, C, &res, &incr_exp,
+ &is_midpoint_lt_even, &is_midpoint_gt_even,
+ &is_inexact_lt_midpoint, &is_inexact_gt_midpoint);
+ if (incr_exp)
+ ind++;
+ // set the inexact flag
+ if (is_inexact_lt_midpoint || is_inexact_gt_midpoint ||
+ is_midpoint_lt_even || is_midpoint_gt_even)
+ *pfpsf |= INEXACT_EXCEPTION;
+ // general correction from RN to RA, RM, RP, RZ; result uses ind for exp
+ if (rnd_mode != ROUNDING_TO_NEAREST) {
+ if ((!x_sign
+ && ((rnd_mode == ROUNDING_UP && is_inexact_lt_midpoint)
+ ||
+ ((rnd_mode == ROUNDING_TIES_AWAY
+ || rnd_mode == ROUNDING_UP) && is_midpoint_gt_even)))
+ || (x_sign
+ && ((rnd_mode == ROUNDING_DOWN && is_inexact_lt_midpoint)
+ ||
+ ((rnd_mode == ROUNDING_TIES_AWAY
+ || rnd_mode == ROUNDING_DOWN)
+ && is_midpoint_gt_even)))) {
+ res = res + 1;
+ if (res == 0x002386f26fc10000ull) { // res = 10^16 => rounding overflow
+ res = 0x00038d7ea4c68000ull; // 10^15
+ ind = ind + 1;
+ }
+ } else if ((is_midpoint_lt_even || is_inexact_gt_midpoint) &&
+ ((x_sign && (rnd_mode == ROUNDING_UP ||
+ rnd_mode == ROUNDING_TO_ZERO)) ||
+ (!x_sign && (rnd_mode == ROUNDING_DOWN ||
+ rnd_mode == ROUNDING_TO_ZERO)))) {
+ res = res - 1;
+ // check if we crossed into the lower decade
+ if (res == 0x00038d7ea4c67fffull) { // 10^15 - 1
+ res = 0x002386f26fc0ffffull; // 10^16 - 1
+ ind = ind - 1;
+ }
+ } else {
+ ; // exact, the result is already correct
+ }
+ }
+ if (res < 0x0020000000000000ull) { // res < 2^53
+ res = x_sign | (((UINT64) ind + 398) << 53) | res;
+ } else { // res >= 2^53
+ res =
+ x_sign | 0x6000000000000000ull | (((UINT64) ind + 398) << 51) |
+ (res & 0x0007ffffffffffffull);
+ }
+ }
+ BID_RETURN (res);
+}
+
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid64_from_uint64 (UINT64 * pres, UINT64 * px
+ _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
+ _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+#if !DECIMAL_GLOBAL_ROUNDING
+ unsigned int rnd_mode = *prnd_mode;
+#endif
+#else
+UINT64
+bid64_from_uint64 (UINT64 x
+ _RND_MODE_PARAM _EXC_FLAGS_PARAM _EXC_MASKS_PARAM
+ _EXC_INFO_PARAM) {
+#endif
+
+ UINT64 res;
+ UINT128 x128, res128;
+ unsigned int q, ind;
+ int incr_exp = 0;
+ int is_midpoint_lt_even = 0, is_midpoint_gt_even = 0;
+ int is_inexact_lt_midpoint = 0, is_inexact_gt_midpoint = 0;
+
+ if (x <= BID64_SIG_MAX) { // x <= 10^16-1 and the result is exact
+ if (x < 0x0020000000000000ull) { // x < 2^53
+ res = 0x31c0000000000000ull | x;
+ } else { // x >= 2^53
+ res = 0x6c70000000000000ull | (x & 0x0007ffffffffffffull);
+ }
+ } else { // x >= 10^16 and the result may be inexact
+ // the smallest x is 10^16 which has 17 decimal digits
+ // the largest x is 0xffffffffffffffff = 18446744073709551615 w/ 20 digits
+ if (x < 0x16345785d8a0000ull) { // x < 10^17
+ q = 17;
+ ind = 1; // number of digits to remove for q = 17
+ } else if (x < 0xde0b6b3a7640000ull) { // x < 10^18
+ q = 18;
+ ind = 2; // number of digits to remove for q = 18
+ } else if (x < 0x8ac7230489e80000ull) { // x < 10^19
+ q = 19;
+ ind = 3; // number of digits to remove for q = 19
+ } else { // x < 10^20
+ q = 20;
+ ind = 4; // number of digits to remove for q = 20
+ }
+ // overflow and underflow are not possible
+ // Note: performace can be improved by inlining this call
+ if (q <= 19) {
+ round64_2_18 ( // will work for 20 digits too if x fits in 64 bits
+ q, ind, x, &res, &incr_exp,
+ &is_midpoint_lt_even, &is_midpoint_gt_even,
+ &is_inexact_lt_midpoint, &is_inexact_gt_midpoint);
+ } else { // q = 20
+ x128.w[1] = 0x0;
+ x128.w[0] = x;
+ round128_19_38 (q, ind, x128, &res128, &incr_exp,
+ &is_midpoint_lt_even, &is_midpoint_gt_even,
+ &is_inexact_lt_midpoint, &is_inexact_gt_midpoint);
+ res = res128.w[0]; // res.w[1] is 0
+ }
+ if (incr_exp)
+ ind++;
+ // set the inexact flag
+ if (is_inexact_lt_midpoint || is_inexact_gt_midpoint ||
+ is_midpoint_lt_even || is_midpoint_gt_even)
+ *pfpsf |= INEXACT_EXCEPTION;
+ // general correction from RN to RA, RM, RP, RZ; result uses ind for exp
+ if (rnd_mode != ROUNDING_TO_NEAREST) {
+ if ((rnd_mode == ROUNDING_UP && is_inexact_lt_midpoint) ||
+ ((rnd_mode == ROUNDING_TIES_AWAY || rnd_mode == ROUNDING_UP)
+ && is_midpoint_gt_even)) {
+ res = res + 1;
+ if (res == 0x002386f26fc10000ull) { // res = 10^16 => rounding overflow
+ res = 0x00038d7ea4c68000ull; // 10^15
+ ind = ind + 1;
+ }
+ } else if ((is_midpoint_lt_even || is_inexact_gt_midpoint) &&
+ (rnd_mode == ROUNDING_DOWN ||
+ rnd_mode == ROUNDING_TO_ZERO)) {
+ res = res - 1;
+ // check if we crossed into the lower decade
+ if (res == 0x00038d7ea4c67fffull) { // 10^15 - 1
+ res = 0x002386f26fc0ffffull; // 10^16 - 1
+ ind = ind - 1;
+ }
+ } else {
+ ; // exact, the result is already correct
+ }
+ }
+ if (res < 0x0020000000000000ull) { // res < 2^53
+ res = (((UINT64) ind + 398) << 53) | res;
+ } else { // res >= 2^53
+ res = 0x6000000000000000ull | (((UINT64) ind + 398) << 51) |
+ (res & 0x0007ffffffffffffull);
+ }
+ }
+ BID_RETURN (res);
+}
+
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid128_from_int32 (UINT128 * pres,
+ int *px _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ int x = *px;
+#else
+UINT128
+bid128_from_int32 (int x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ UINT128 res;
+
+ // if integer is negative, use the absolute value
+ if ((x & SIGNMASK32) == SIGNMASK32) {
+ res.w[HIGH_128W] = 0xb040000000000000ull;
+ res.w[LOW_128W] = ~((unsigned int) x) + 1; // 2's complement of x
+ } else {
+ res.w[HIGH_128W] = 0x3040000000000000ull;
+ res.w[LOW_128W] = (unsigned int) x;
+ }
+ BID_RETURN (res);
+}
+
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid128_from_uint32 (UINT128 * pres, unsigned int *px
+ _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ unsigned int x = *px;
+#else
+UINT128
+bid128_from_uint32 (unsigned int x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+ UINT128 res;
+
+ res.w[HIGH_128W] = 0x3040000000000000ull;
+ res.w[LOW_128W] = x;
+ BID_RETURN (res);
+}
+
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid128_from_int64 (UINT128 * pres, SINT64 * px
+ _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ SINT64 x = *px;
+#else
+UINT128
+bid128_from_int64 (SINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+
+ UINT128 res;
+
+ // if integer is negative, use the absolute value
+ if ((x & SIGNMASK64) == SIGNMASK64) {
+ res.w[HIGH_128W] = 0xb040000000000000ull;
+ res.w[LOW_128W] = ~x + 1; // 2's complement of x
+ } else {
+ res.w[HIGH_128W] = 0x3040000000000000ull;
+ res.w[LOW_128W] = x;
+ }
+ BID_RETURN (res);
+}
+
+#if DECIMAL_CALL_BY_REFERENCE
+void
+bid128_from_uint64 (UINT128 * pres, UINT64 * px
+ _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+ UINT64 x = *px;
+#else
+UINT128
+bid128_from_uint64 (UINT64 x _EXC_MASKS_PARAM _EXC_INFO_PARAM) {
+#endif
+
+ UINT128 res;
+
+ res.w[HIGH_128W] = 0x3040000000000000ull;
+ res.w[LOW_128W] = x;
+ BID_RETURN (res);
+}
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