Introduce Virtio-loopback epsilon release:

Epsilon release introduces a new compatibility layer which make virtio-loopback
design to work with QEMU and rust-vmm vhost-user backend without require any
changes.

Signed-off-by: Timos Ampelikiotis <t.ampelikiotis@virtualopensystems.com>
Change-Id: I52e57563e08a7d0bdc002f8e928ee61ba0c53dd9

1 files changed, 1324 insertions, 0 deletions

diff --git a/include/fpu/softfloat.h b/include/fpu/softfloat.h
new file mode 100644
index 000000000..a249991e6
--- /dev/null
+++ b/include/fpu/softfloat.h
@@ -0,0 +1,1324 @@
+/*
+ * QEMU float support
+ *
+ * The code in this source file is derived from release 2a of the SoftFloat
+ * IEC/IEEE Floating-point Arithmetic Package. Those parts of the code (and
+ * some later contributions) are provided under that license, as detailed below.
+ * It has subsequently been modified by contributors to the QEMU Project,
+ * so some portions are provided under:
+ *  the SoftFloat-2a license
+ *  the BSD license
+ *  GPL-v2-or-later
+ *
+ * Any future contributions to this file after December 1st 2014 will be
+ * taken to be licensed under the Softfloat-2a license unless specifically
+ * indicated otherwise.
+ */
+
+/*
+===============================================================================
+This C header file is part of the SoftFloat IEC/IEEE Floating-point
+Arithmetic Package, Release 2a.
+
+Written by John R. Hauser.  This work was made possible in part by the
+International Computer Science Institute, located at Suite 600, 1947 Center
+Street, Berkeley, California 94704.  Funding was partially provided by the
+National Science Foundation under grant MIP-9311980.  The original version
+of this code was written as part of a project to build a fixed-point vector
+processor in collaboration with the University of California at Berkeley,
+overseen by Profs. Nelson Morgan and John Wawrzynek.  More information
+is available through the Web page `http://HTTP.CS.Berkeley.EDU/~jhauser/
+arithmetic/SoftFloat.html'.
+
+THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE.  Although reasonable effort
+has been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT
+TIMES RESULT IN INCORRECT BEHAVIOR.  USE OF THIS SOFTWARE IS RESTRICTED TO
+PERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY
+AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE.
+
+Derivative works are acceptable, even for commercial purposes, so long as
+(1) they include prominent notice that the work is derivative, and (2) they
+include prominent notice akin to these four paragraphs for those parts of
+this code that are retained.
+
+===============================================================================
+*/
+
+/* BSD licensing:
+ * Copyright (c) 2006, Fabrice Bellard
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are met:
+ *
+ * 1. Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the following disclaimer.
+ *
+ * 2. Redistributions in binary form must reproduce the above copyright notice,
+ * this list of conditions and the following disclaimer in the documentation
+ * and/or other materials provided with the distribution.
+ *
+ * 3. Neither the name of the copyright holder nor the names of its contributors
+ * may be used to endorse or promote products derived from this software without
+ * specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+ * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+ * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE
+ * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+ * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+ * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
+ * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
+ * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
+ * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF
+ * THE POSSIBILITY OF SUCH DAMAGE.
+ */
+
+/* Portions of this work are licensed under the terms of the GNU GPL,
+ * version 2 or later. See the COPYING file in the top-level directory.
+ */
+
+#ifndef SOFTFLOAT_H
+#define SOFTFLOAT_H
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE floating-point ordering relations
+*----------------------------------------------------------------------------*/
+
+typedef enum {
+    float_relation_less      = -1,
+    float_relation_equal     =  0,
+    float_relation_greater   =  1,
+    float_relation_unordered =  2
+} FloatRelation;
+
+#include "fpu/softfloat-types.h"
+#include "fpu/softfloat-helpers.h"
+
+/*----------------------------------------------------------------------------
+| Routine to raise any or all of the software IEC/IEEE floating-point
+| exception flags.
+*----------------------------------------------------------------------------*/
+static inline void float_raise(uint8_t flags, float_status *status)
+{
+    status->float_exception_flags |= flags;
+}
+
+/*----------------------------------------------------------------------------
+| If `a' is denormal and we are in flush-to-zero mode then set the
+| input-denormal exception and return zero. Otherwise just return the value.
+*----------------------------------------------------------------------------*/
+float16 float16_squash_input_denormal(float16 a, float_status *status);
+float32 float32_squash_input_denormal(float32 a, float_status *status);
+float64 float64_squash_input_denormal(float64 a, float_status *status);
+bfloat16 bfloat16_squash_input_denormal(bfloat16 a, float_status *status);
+
+/*----------------------------------------------------------------------------
+| Options to indicate which negations to perform in float*_muladd()
+| Using these differs from negating an input or output before calling
+| the muladd function in that this means that a NaN doesn't have its
+| sign bit inverted before it is propagated.
+| We also support halving the result before rounding, as a special
+| case to support the ARM fused-sqrt-step instruction FRSQRTS.
+*----------------------------------------------------------------------------*/
+enum {
+    float_muladd_negate_c = 1,
+    float_muladd_negate_product = 2,
+    float_muladd_negate_result = 4,
+    float_muladd_halve_result = 8,
+};
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE integer-to-floating-point conversion routines.
+*----------------------------------------------------------------------------*/
+
+float16 int16_to_float16_scalbn(int16_t a, int, float_status *status);
+float16 int32_to_float16_scalbn(int32_t a, int, float_status *status);
+float16 int64_to_float16_scalbn(int64_t a, int, float_status *status);
+float16 uint16_to_float16_scalbn(uint16_t a, int, float_status *status);
+float16 uint32_to_float16_scalbn(uint32_t a, int, float_status *status);
+float16 uint64_to_float16_scalbn(uint64_t a, int, float_status *status);
+
+float16 int8_to_float16(int8_t a, float_status *status);
+float16 int16_to_float16(int16_t a, float_status *status);
+float16 int32_to_float16(int32_t a, float_status *status);
+float16 int64_to_float16(int64_t a, float_status *status);
+float16 uint8_to_float16(uint8_t a, float_status *status);
+float16 uint16_to_float16(uint16_t a, float_status *status);
+float16 uint32_to_float16(uint32_t a, float_status *status);
+float16 uint64_to_float16(uint64_t a, float_status *status);
+
+float32 int16_to_float32_scalbn(int16_t, int, float_status *status);
+float32 int32_to_float32_scalbn(int32_t, int, float_status *status);
+float32 int64_to_float32_scalbn(int64_t, int, float_status *status);
+float32 uint16_to_float32_scalbn(uint16_t, int, float_status *status);
+float32 uint32_to_float32_scalbn(uint32_t, int, float_status *status);
+float32 uint64_to_float32_scalbn(uint64_t, int, float_status *status);
+
+float32 int16_to_float32(int16_t, float_status *status);
+float32 int32_to_float32(int32_t, float_status *status);
+float32 int64_to_float32(int64_t, float_status *status);
+float32 uint16_to_float32(uint16_t, float_status *status);
+float32 uint32_to_float32(uint32_t, float_status *status);
+float32 uint64_to_float32(uint64_t, float_status *status);
+
+float64 int16_to_float64_scalbn(int16_t, int, float_status *status);
+float64 int32_to_float64_scalbn(int32_t, int, float_status *status);
+float64 int64_to_float64_scalbn(int64_t, int, float_status *status);
+float64 uint16_to_float64_scalbn(uint16_t, int, float_status *status);
+float64 uint32_to_float64_scalbn(uint32_t, int, float_status *status);
+float64 uint64_to_float64_scalbn(uint64_t, int, float_status *status);
+
+float64 int16_to_float64(int16_t, float_status *status);
+float64 int32_to_float64(int32_t, float_status *status);
+float64 int64_to_float64(int64_t, float_status *status);
+float64 uint16_to_float64(uint16_t, float_status *status);
+float64 uint32_to_float64(uint32_t, float_status *status);
+float64 uint64_to_float64(uint64_t, float_status *status);
+
+floatx80 int32_to_floatx80(int32_t, float_status *status);
+floatx80 int64_to_floatx80(int64_t, float_status *status);
+
+float128 int32_to_float128(int32_t, float_status *status);
+float128 int64_to_float128(int64_t, float_status *status);
+float128 uint64_to_float128(uint64_t, float_status *status);
+
+/*----------------------------------------------------------------------------
+| Software half-precision conversion routines.
+*----------------------------------------------------------------------------*/
+
+float16 float32_to_float16(float32, bool ieee, float_status *status);
+float32 float16_to_float32(float16, bool ieee, float_status *status);
+float16 float64_to_float16(float64 a, bool ieee, float_status *status);
+float64 float16_to_float64(float16 a, bool ieee, float_status *status);
+
+int8_t  float16_to_int8_scalbn(float16, FloatRoundMode, int,
+                               float_status *status);
+int16_t float16_to_int16_scalbn(float16, FloatRoundMode, int, float_status *);
+int32_t float16_to_int32_scalbn(float16, FloatRoundMode, int, float_status *);
+int64_t float16_to_int64_scalbn(float16, FloatRoundMode, int, float_status *);
+
+int8_t  float16_to_int8(float16, float_status *status);
+int16_t float16_to_int16(float16, float_status *status);
+int32_t float16_to_int32(float16, float_status *status);
+int64_t float16_to_int64(float16, float_status *status);
+
+int16_t float16_to_int16_round_to_zero(float16, float_status *status);
+int32_t float16_to_int32_round_to_zero(float16, float_status *status);
+int64_t float16_to_int64_round_to_zero(float16, float_status *status);
+
+uint8_t float16_to_uint8_scalbn(float16 a, FloatRoundMode,
+                                int, float_status *status);
+uint16_t float16_to_uint16_scalbn(float16 a, FloatRoundMode,
+                                  int, float_status *status);
+uint32_t float16_to_uint32_scalbn(float16 a, FloatRoundMode,
+                                  int, float_status *status);
+uint64_t float16_to_uint64_scalbn(float16 a, FloatRoundMode,
+                                  int, float_status *status);
+
+uint8_t  float16_to_uint8(float16 a, float_status *status);
+uint16_t float16_to_uint16(float16 a, float_status *status);
+uint32_t float16_to_uint32(float16 a, float_status *status);
+uint64_t float16_to_uint64(float16 a, float_status *status);
+
+uint16_t float16_to_uint16_round_to_zero(float16 a, float_status *status);
+uint32_t float16_to_uint32_round_to_zero(float16 a, float_status *status);
+uint64_t float16_to_uint64_round_to_zero(float16 a, float_status *status);
+
+/*----------------------------------------------------------------------------
+| Software half-precision operations.
+*----------------------------------------------------------------------------*/
+
+float16 float16_round_to_int(float16, float_status *status);
+float16 float16_add(float16, float16, float_status *status);
+float16 float16_sub(float16, float16, float_status *status);
+float16 float16_mul(float16, float16, float_status *status);
+float16 float16_muladd(float16, float16, float16, int, float_status *status);
+float16 float16_div(float16, float16, float_status *status);
+float16 float16_scalbn(float16, int, float_status *status);
+float16 float16_min(float16, float16, float_status *status);
+float16 float16_max(float16, float16, float_status *status);
+float16 float16_minnum(float16, float16, float_status *status);
+float16 float16_maxnum(float16, float16, float_status *status);
+float16 float16_minnummag(float16, float16, float_status *status);
+float16 float16_maxnummag(float16, float16, float_status *status);
+float16 float16_minimum_number(float16, float16, float_status *status);
+float16 float16_maximum_number(float16, float16, float_status *status);
+float16 float16_sqrt(float16, float_status *status);
+FloatRelation float16_compare(float16, float16, float_status *status);
+FloatRelation float16_compare_quiet(float16, float16, float_status *status);
+
+bool float16_is_quiet_nan(float16, float_status *status);
+bool float16_is_signaling_nan(float16, float_status *status);
+float16 float16_silence_nan(float16, float_status *status);
+
+static inline bool float16_is_any_nan(float16 a)
+{
+    return ((float16_val(a) & ~0x8000) > 0x7c00);
+}
+
+static inline bool float16_is_neg(float16 a)
+{
+    return float16_val(a) >> 15;
+}
+
+static inline bool float16_is_infinity(float16 a)
+{
+    return (float16_val(a) & 0x7fff) == 0x7c00;
+}
+
+static inline bool float16_is_zero(float16 a)
+{
+    return (float16_val(a) & 0x7fff) == 0;
+}
+
+static inline bool float16_is_zero_or_denormal(float16 a)
+{
+    return (float16_val(a) & 0x7c00) == 0;
+}
+
+static inline bool float16_is_normal(float16 a)
+{
+    return (((float16_val(a) >> 10) + 1) & 0x1f) >= 2;
+}
+
+static inline float16 float16_abs(float16 a)
+{
+    /* Note that abs does *not* handle NaN specially, nor does
+     * it flush denormal inputs to zero.
+     */
+    return make_float16(float16_val(a) & 0x7fff);
+}
+
+static inline float16 float16_chs(float16 a)
+{
+    /* Note that chs does *not* handle NaN specially, nor does
+     * it flush denormal inputs to zero.
+     */
+    return make_float16(float16_val(a) ^ 0x8000);
+}
+
+static inline float16 float16_set_sign(float16 a, int sign)
+{
+    return make_float16((float16_val(a) & 0x7fff) | (sign << 15));
+}
+
+static inline bool float16_eq(float16 a, float16 b, float_status *s)
+{
+    return float16_compare(a, b, s) == float_relation_equal;
+}
+
+static inline bool float16_le(float16 a, float16 b, float_status *s)
+{
+    return float16_compare(a, b, s) <= float_relation_equal;
+}
+
+static inline bool float16_lt(float16 a, float16 b, float_status *s)
+{
+    return float16_compare(a, b, s) < float_relation_equal;
+}
+
+static inline bool float16_unordered(float16 a, float16 b, float_status *s)
+{
+    return float16_compare(a, b, s) == float_relation_unordered;
+}
+
+static inline bool float16_eq_quiet(float16 a, float16 b, float_status *s)
+{
+    return float16_compare_quiet(a, b, s) == float_relation_equal;
+}
+
+static inline bool float16_le_quiet(float16 a, float16 b, float_status *s)
+{
+    return float16_compare_quiet(a, b, s) <= float_relation_equal;
+}
+
+static inline bool float16_lt_quiet(float16 a, float16 b, float_status *s)
+{
+    return float16_compare_quiet(a, b, s) < float_relation_equal;
+}
+
+static inline bool float16_unordered_quiet(float16 a, float16 b,
+                                           float_status *s)
+{
+    return float16_compare_quiet(a, b, s) == float_relation_unordered;
+}
+
+#define float16_zero make_float16(0)
+#define float16_half make_float16(0x3800)
+#define float16_one make_float16(0x3c00)
+#define float16_one_point_five make_float16(0x3e00)
+#define float16_two make_float16(0x4000)
+#define float16_three make_float16(0x4200)
+#define float16_infinity make_float16(0x7c00)
+
+/*----------------------------------------------------------------------------
+| Software bfloat16 conversion routines.
+*----------------------------------------------------------------------------*/
+
+bfloat16 bfloat16_round_to_int(bfloat16, float_status *status);
+bfloat16 float32_to_bfloat16(float32, float_status *status);
+float32 bfloat16_to_float32(bfloat16, float_status *status);
+bfloat16 float64_to_bfloat16(float64 a, float_status *status);
+float64 bfloat16_to_float64(bfloat16 a, float_status *status);
+
+int16_t bfloat16_to_int16_scalbn(bfloat16, FloatRoundMode,
+                                 int, float_status *status);
+int32_t bfloat16_to_int32_scalbn(bfloat16, FloatRoundMode,
+                                 int, float_status *status);
+int64_t bfloat16_to_int64_scalbn(bfloat16, FloatRoundMode,
+                                 int, float_status *status);
+
+int16_t bfloat16_to_int16(bfloat16, float_status *status);
+int32_t bfloat16_to_int32(bfloat16, float_status *status);
+int64_t bfloat16_to_int64(bfloat16, float_status *status);
+
+int16_t bfloat16_to_int16_round_to_zero(bfloat16, float_status *status);
+int32_t bfloat16_to_int32_round_to_zero(bfloat16, float_status *status);
+int64_t bfloat16_to_int64_round_to_zero(bfloat16, float_status *status);
+
+uint16_t bfloat16_to_uint16_scalbn(bfloat16 a, FloatRoundMode,
+                                   int, float_status *status);
+uint32_t bfloat16_to_uint32_scalbn(bfloat16 a, FloatRoundMode,
+                                   int, float_status *status);
+uint64_t bfloat16_to_uint64_scalbn(bfloat16 a, FloatRoundMode,
+                                   int, float_status *status);
+
+uint16_t bfloat16_to_uint16(bfloat16 a, float_status *status);
+uint32_t bfloat16_to_uint32(bfloat16 a, float_status *status);
+uint64_t bfloat16_to_uint64(bfloat16 a, float_status *status);
+
+uint16_t bfloat16_to_uint16_round_to_zero(bfloat16 a, float_status *status);
+uint32_t bfloat16_to_uint32_round_to_zero(bfloat16 a, float_status *status);
+uint64_t bfloat16_to_uint64_round_to_zero(bfloat16 a, float_status *status);
+
+bfloat16 int16_to_bfloat16_scalbn(int16_t a, int, float_status *status);
+bfloat16 int32_to_bfloat16_scalbn(int32_t a, int, float_status *status);
+bfloat16 int64_to_bfloat16_scalbn(int64_t a, int, float_status *status);
+bfloat16 uint16_to_bfloat16_scalbn(uint16_t a, int, float_status *status);
+bfloat16 uint32_to_bfloat16_scalbn(uint32_t a, int, float_status *status);
+bfloat16 uint64_to_bfloat16_scalbn(uint64_t a, int, float_status *status);
+
+bfloat16 int16_to_bfloat16(int16_t a, float_status *status);
+bfloat16 int32_to_bfloat16(int32_t a, float_status *status);
+bfloat16 int64_to_bfloat16(int64_t a, float_status *status);
+bfloat16 uint16_to_bfloat16(uint16_t a, float_status *status);
+bfloat16 uint32_to_bfloat16(uint32_t a, float_status *status);
+bfloat16 uint64_to_bfloat16(uint64_t a, float_status *status);
+
+/*----------------------------------------------------------------------------
+| Software bfloat16 operations.
+*----------------------------------------------------------------------------*/
+
+bfloat16 bfloat16_add(bfloat16, bfloat16, float_status *status);
+bfloat16 bfloat16_sub(bfloat16, bfloat16, float_status *status);
+bfloat16 bfloat16_mul(bfloat16, bfloat16, float_status *status);
+bfloat16 bfloat16_div(bfloat16, bfloat16, float_status *status);
+bfloat16 bfloat16_muladd(bfloat16, bfloat16, bfloat16, int,
+                         float_status *status);
+float16 bfloat16_scalbn(bfloat16, int, float_status *status);
+bfloat16 bfloat16_min(bfloat16, bfloat16, float_status *status);
+bfloat16 bfloat16_max(bfloat16, bfloat16, float_status *status);
+bfloat16 bfloat16_minnum(bfloat16, bfloat16, float_status *status);
+bfloat16 bfloat16_maxnum(bfloat16, bfloat16, float_status *status);
+bfloat16 bfloat16_minnummag(bfloat16, bfloat16, float_status *status);
+bfloat16 bfloat16_maxnummag(bfloat16, bfloat16, float_status *status);
+bfloat16 bfloat16_minimum_number(bfloat16, bfloat16, float_status *status);
+bfloat16 bfloat16_maximum_number(bfloat16, bfloat16, float_status *status);
+bfloat16 bfloat16_sqrt(bfloat16, float_status *status);
+FloatRelation bfloat16_compare(bfloat16, bfloat16, float_status *status);
+FloatRelation bfloat16_compare_quiet(bfloat16, bfloat16, float_status *status);
+
+bool bfloat16_is_quiet_nan(bfloat16, float_status *status);
+bool bfloat16_is_signaling_nan(bfloat16, float_status *status);
+bfloat16 bfloat16_silence_nan(bfloat16, float_status *status);
+bfloat16 bfloat16_default_nan(float_status *status);
+
+static inline bool bfloat16_is_any_nan(bfloat16 a)
+{
+    return ((a & ~0x8000) > 0x7F80);
+}
+
+static inline bool bfloat16_is_neg(bfloat16 a)
+{
+    return a >> 15;
+}
+
+static inline bool bfloat16_is_infinity(bfloat16 a)
+{
+    return (a & 0x7fff) == 0x7F80;
+}
+
+static inline bool bfloat16_is_zero(bfloat16 a)
+{
+    return (a & 0x7fff) == 0;
+}
+
+static inline bool bfloat16_is_zero_or_denormal(bfloat16 a)
+{
+    return (a & 0x7F80) == 0;
+}
+
+static inline bool bfloat16_is_normal(bfloat16 a)
+{
+    return (((a >> 7) + 1) & 0xff) >= 2;
+}
+
+static inline bfloat16 bfloat16_abs(bfloat16 a)
+{
+    /* Note that abs does *not* handle NaN specially, nor does
+     * it flush denormal inputs to zero.
+     */
+    return a & 0x7fff;
+}
+
+static inline bfloat16 bfloat16_chs(bfloat16 a)
+{
+    /* Note that chs does *not* handle NaN specially, nor does
+     * it flush denormal inputs to zero.
+     */
+    return a ^ 0x8000;
+}
+
+static inline bfloat16 bfloat16_set_sign(bfloat16 a, int sign)
+{
+    return (a & 0x7fff) | (sign << 15);
+}
+
+static inline bool bfloat16_eq(bfloat16 a, bfloat16 b, float_status *s)
+{
+    return bfloat16_compare(a, b, s) == float_relation_equal;
+}
+
+static inline bool bfloat16_le(bfloat16 a, bfloat16 b, float_status *s)
+{
+    return bfloat16_compare(a, b, s) <= float_relation_equal;
+}
+
+static inline bool bfloat16_lt(bfloat16 a, bfloat16 b, float_status *s)
+{
+    return bfloat16_compare(a, b, s) < float_relation_equal;
+}
+
+static inline bool bfloat16_unordered(bfloat16 a, bfloat16 b, float_status *s)
+{
+    return bfloat16_compare(a, b, s) == float_relation_unordered;
+}
+
+static inline bool bfloat16_eq_quiet(bfloat16 a, bfloat16 b, float_status *s)
+{
+    return bfloat16_compare_quiet(a, b, s) == float_relation_equal;
+}
+
+static inline bool bfloat16_le_quiet(bfloat16 a, bfloat16 b, float_status *s)
+{
+    return bfloat16_compare_quiet(a, b, s) <= float_relation_equal;
+}
+
+static inline bool bfloat16_lt_quiet(bfloat16 a, bfloat16 b, float_status *s)
+{
+    return bfloat16_compare_quiet(a, b, s) < float_relation_equal;
+}
+
+static inline bool bfloat16_unordered_quiet(bfloat16 a, bfloat16 b,
+                                           float_status *s)
+{
+    return bfloat16_compare_quiet(a, b, s) == float_relation_unordered;
+}
+
+#define bfloat16_zero 0
+#define bfloat16_half 0x3f00
+#define bfloat16_one 0x3f80
+#define bfloat16_one_point_five 0x3fc0
+#define bfloat16_two 0x4000
+#define bfloat16_three 0x4040
+#define bfloat16_infinity 0x7f80
+
+/*----------------------------------------------------------------------------
+| The pattern for a default generated half-precision NaN.
+*----------------------------------------------------------------------------*/
+float16 float16_default_nan(float_status *status);
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE single-precision conversion routines.
+*----------------------------------------------------------------------------*/
+
+int16_t float32_to_int16_scalbn(float32, FloatRoundMode, int, float_status *);
+int32_t float32_to_int32_scalbn(float32, FloatRoundMode, int, float_status *);
+int64_t float32_to_int64_scalbn(float32, FloatRoundMode, int, float_status *);
+
+int16_t float32_to_int16(float32, float_status *status);
+int32_t float32_to_int32(float32, float_status *status);
+int64_t float32_to_int64(float32, float_status *status);
+
+int16_t float32_to_int16_round_to_zero(float32, float_status *status);
+int32_t float32_to_int32_round_to_zero(float32, float_status *status);
+int64_t float32_to_int64_round_to_zero(float32, float_status *status);
+
+uint16_t float32_to_uint16_scalbn(float32, FloatRoundMode, int, float_status *);
+uint32_t float32_to_uint32_scalbn(float32, FloatRoundMode, int, float_status *);
+uint64_t float32_to_uint64_scalbn(float32, FloatRoundMode, int, float_status *);
+
+uint16_t float32_to_uint16(float32, float_status *status);
+uint32_t float32_to_uint32(float32, float_status *status);
+uint64_t float32_to_uint64(float32, float_status *status);
+
+uint16_t float32_to_uint16_round_to_zero(float32, float_status *status);
+uint32_t float32_to_uint32_round_to_zero(float32, float_status *status);
+uint64_t float32_to_uint64_round_to_zero(float32, float_status *status);
+
+float64 float32_to_float64(float32, float_status *status);
+floatx80 float32_to_floatx80(float32, float_status *status);
+float128 float32_to_float128(float32, float_status *status);
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE single-precision operations.
+*----------------------------------------------------------------------------*/
+float32 float32_round_to_int(float32, float_status *status);
+float32 float32_add(float32, float32, float_status *status);
+float32 float32_sub(float32, float32, float_status *status);
+float32 float32_mul(float32, float32, float_status *status);
+float32 float32_div(float32, float32, float_status *status);
+float32 float32_rem(float32, float32, float_status *status);
+float32 float32_muladd(float32, float32, float32, int, float_status *status);
+float32 float32_sqrt(float32, float_status *status);
+float32 float32_exp2(float32, float_status *status);
+float32 float32_log2(float32, float_status *status);
+FloatRelation float32_compare(float32, float32, float_status *status);
+FloatRelation float32_compare_quiet(float32, float32, float_status *status);
+float32 float32_min(float32, float32, float_status *status);
+float32 float32_max(float32, float32, float_status *status);
+float32 float32_minnum(float32, float32, float_status *status);
+float32 float32_maxnum(float32, float32, float_status *status);
+float32 float32_minnummag(float32, float32, float_status *status);
+float32 float32_maxnummag(float32, float32, float_status *status);
+float32 float32_minimum_number(float32, float32, float_status *status);
+float32 float32_maximum_number(float32, float32, float_status *status);
+bool float32_is_quiet_nan(float32, float_status *status);
+bool float32_is_signaling_nan(float32, float_status *status);
+float32 float32_silence_nan(float32, float_status *status);
+float32 float32_scalbn(float32, int, float_status *status);
+
+static inline float32 float32_abs(float32 a)
+{
+    /* Note that abs does *not* handle NaN specially, nor does
+     * it flush denormal inputs to zero.
+     */
+    return make_float32(float32_val(a) & 0x7fffffff);
+}
+
+static inline float32 float32_chs(float32 a)
+{
+    /* Note that chs does *not* handle NaN specially, nor does
+     * it flush denormal inputs to zero.
+     */
+    return make_float32(float32_val(a) ^ 0x80000000);
+}
+
+static inline bool float32_is_infinity(float32 a)
+{
+    return (float32_val(a) & 0x7fffffff) == 0x7f800000;
+}
+
+static inline bool float32_is_neg(float32 a)
+{
+    return float32_val(a) >> 31;
+}
+
+static inline bool float32_is_zero(float32 a)
+{
+    return (float32_val(a) & 0x7fffffff) == 0;
+}
+
+static inline bool float32_is_any_nan(float32 a)
+{
+    return ((float32_val(a) & ~(1 << 31)) > 0x7f800000UL);
+}
+
+static inline bool float32_is_zero_or_denormal(float32 a)
+{
+    return (float32_val(a) & 0x7f800000) == 0;
+}
+
+static inline bool float32_is_normal(float32 a)
+{
+    return (((float32_val(a) >> 23) + 1) & 0xff) >= 2;
+}
+
+static inline bool float32_is_denormal(float32 a)
+{
+    return float32_is_zero_or_denormal(a) && !float32_is_zero(a);
+}
+
+static inline bool float32_is_zero_or_normal(float32 a)
+{
+    return float32_is_normal(a) || float32_is_zero(a);
+}
+
+static inline float32 float32_set_sign(float32 a, int sign)
+{
+    return make_float32((float32_val(a) & 0x7fffffff) | (sign << 31));
+}
+
+static inline bool float32_eq(float32 a, float32 b, float_status *s)
+{
+    return float32_compare(a, b, s) == float_relation_equal;
+}
+
+static inline bool float32_le(float32 a, float32 b, float_status *s)
+{
+    return float32_compare(a, b, s) <= float_relation_equal;
+}
+
+static inline bool float32_lt(float32 a, float32 b, float_status *s)
+{
+    return float32_compare(a, b, s) < float_relation_equal;
+}
+
+static inline bool float32_unordered(float32 a, float32 b, float_status *s)
+{
+    return float32_compare(a, b, s) == float_relation_unordered;
+}
+
+static inline bool float32_eq_quiet(float32 a, float32 b, float_status *s)
+{
+    return float32_compare_quiet(a, b, s) == float_relation_equal;
+}
+
+static inline bool float32_le_quiet(float32 a, float32 b, float_status *s)
+{
+    return float32_compare_quiet(a, b, s) <= float_relation_equal;
+}
+
+static inline bool float32_lt_quiet(float32 a, float32 b, float_status *s)
+{
+    return float32_compare_quiet(a, b, s) < float_relation_equal;
+}
+
+static inline bool float32_unordered_quiet(float32 a, float32 b,
+                                           float_status *s)
+{
+    return float32_compare_quiet(a, b, s) == float_relation_unordered;
+}
+
+#define float32_zero make_float32(0)
+#define float32_half make_float32(0x3f000000)
+#define float32_one make_float32(0x3f800000)
+#define float32_one_point_five make_float32(0x3fc00000)
+#define float32_two make_float32(0x40000000)
+#define float32_three make_float32(0x40400000)
+#define float32_infinity make_float32(0x7f800000)
+
+/*----------------------------------------------------------------------------
+| Packs the sign `zSign', exponent `zExp', and significand `zSig' into a
+| single-precision floating-point value, returning the result.  After being
+| shifted into the proper positions, the three fields are simply added
+| together to form the result.  This means that any integer portion of `zSig'
+| will be added into the exponent.  Since a properly normalized significand
+| will have an integer portion equal to 1, the `zExp' input should be 1 less
+| than the desired result exponent whenever `zSig' is a complete, normalized
+| significand.
+*----------------------------------------------------------------------------*/
+
+static inline float32 packFloat32(bool zSign, int zExp, uint32_t zSig)
+{
+    return make_float32(
+          (((uint32_t)zSign) << 31) + (((uint32_t)zExp) << 23) + zSig);
+}
+
+/*----------------------------------------------------------------------------
+| The pattern for a default generated single-precision NaN.
+*----------------------------------------------------------------------------*/
+float32 float32_default_nan(float_status *status);
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE double-precision conversion routines.
+*----------------------------------------------------------------------------*/
+
+int16_t float64_to_int16_scalbn(float64, FloatRoundMode, int, float_status *);
+int32_t float64_to_int32_scalbn(float64, FloatRoundMode, int, float_status *);
+int64_t float64_to_int64_scalbn(float64, FloatRoundMode, int, float_status *);
+
+int16_t float64_to_int16(float64, float_status *status);
+int32_t float64_to_int32(float64, float_status *status);
+int64_t float64_to_int64(float64, float_status *status);
+
+int16_t float64_to_int16_round_to_zero(float64, float_status *status);
+int32_t float64_to_int32_round_to_zero(float64, float_status *status);
+int64_t float64_to_int64_round_to_zero(float64, float_status *status);
+
+uint16_t float64_to_uint16_scalbn(float64, FloatRoundMode, int, float_status *);
+uint32_t float64_to_uint32_scalbn(float64, FloatRoundMode, int, float_status *);
+uint64_t float64_to_uint64_scalbn(float64, FloatRoundMode, int, float_status *);
+
+uint16_t float64_to_uint16(float64, float_status *status);
+uint32_t float64_to_uint32(float64, float_status *status);
+uint64_t float64_to_uint64(float64, float_status *status);
+
+uint16_t float64_to_uint16_round_to_zero(float64, float_status *status);
+uint32_t float64_to_uint32_round_to_zero(float64, float_status *status);
+uint64_t float64_to_uint64_round_to_zero(float64, float_status *status);
+
+float32 float64_to_float32(float64, float_status *status);
+floatx80 float64_to_floatx80(float64, float_status *status);
+float128 float64_to_float128(float64, float_status *status);
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE double-precision operations.
+*----------------------------------------------------------------------------*/
+float64 float64_round_to_int(float64, float_status *status);
+float64 float64_add(float64, float64, float_status *status);
+float64 float64_sub(float64, float64, float_status *status);
+float64 float64_mul(float64, float64, float_status *status);
+float64 float64_div(float64, float64, float_status *status);
+float64 float64_rem(float64, float64, float_status *status);
+float64 float64_muladd(float64, float64, float64, int, float_status *status);
+float64 float64_sqrt(float64, float_status *status);
+float64 float64_log2(float64, float_status *status);
+FloatRelation float64_compare(float64, float64, float_status *status);
+FloatRelation float64_compare_quiet(float64, float64, float_status *status);
+float64 float64_min(float64, float64, float_status *status);
+float64 float64_max(float64, float64, float_status *status);
+float64 float64_minnum(float64, float64, float_status *status);
+float64 float64_maxnum(float64, float64, float_status *status);
+float64 float64_minnummag(float64, float64, float_status *status);
+float64 float64_maxnummag(float64, float64, float_status *status);
+float64 float64_minimum_number(float64, float64, float_status *status);
+float64 float64_maximum_number(float64, float64, float_status *status);
+bool float64_is_quiet_nan(float64 a, float_status *status);
+bool float64_is_signaling_nan(float64, float_status *status);
+float64 float64_silence_nan(float64, float_status *status);
+float64 float64_scalbn(float64, int, float_status *status);
+
+static inline float64 float64_abs(float64 a)
+{
+    /* Note that abs does *not* handle NaN specially, nor does
+     * it flush denormal inputs to zero.
+     */
+    return make_float64(float64_val(a) & 0x7fffffffffffffffLL);
+}
+
+static inline float64 float64_chs(float64 a)
+{
+    /* Note that chs does *not* handle NaN specially, nor does
+     * it flush denormal inputs to zero.
+     */
+    return make_float64(float64_val(a) ^ 0x8000000000000000LL);
+}
+
+static inline bool float64_is_infinity(float64 a)
+{
+    return (float64_val(a) & 0x7fffffffffffffffLL ) == 0x7ff0000000000000LL;
+}
+
+static inline bool float64_is_neg(float64 a)
+{
+    return float64_val(a) >> 63;
+}
+
+static inline bool float64_is_zero(float64 a)
+{
+    return (float64_val(a) & 0x7fffffffffffffffLL) == 0;
+}
+
+static inline bool float64_is_any_nan(float64 a)
+{
+    return ((float64_val(a) & ~(1ULL << 63)) > 0x7ff0000000000000ULL);
+}
+
+static inline bool float64_is_zero_or_denormal(float64 a)
+{
+    return (float64_val(a) & 0x7ff0000000000000LL) == 0;
+}
+
+static inline bool float64_is_normal(float64 a)
+{
+    return (((float64_val(a) >> 52) + 1) & 0x7ff) >= 2;
+}
+
+static inline bool float64_is_denormal(float64 a)
+{
+    return float64_is_zero_or_denormal(a) && !float64_is_zero(a);
+}
+
+static inline bool float64_is_zero_or_normal(float64 a)
+{
+    return float64_is_normal(a) || float64_is_zero(a);
+}
+
+static inline float64 float64_set_sign(float64 a, int sign)
+{
+    return make_float64((float64_val(a) & 0x7fffffffffffffffULL)
+                        | ((int64_t)sign << 63));
+}
+
+static inline bool float64_eq(float64 a, float64 b, float_status *s)
+{
+    return float64_compare(a, b, s) == float_relation_equal;
+}
+
+static inline bool float64_le(float64 a, float64 b, float_status *s)
+{
+    return float64_compare(a, b, s) <= float_relation_equal;
+}
+
+static inline bool float64_lt(float64 a, float64 b, float_status *s)
+{
+    return float64_compare(a, b, s) < float_relation_equal;
+}
+
+static inline bool float64_unordered(float64 a, float64 b, float_status *s)
+{
+    return float64_compare(a, b, s) == float_relation_unordered;
+}
+
+static inline bool float64_eq_quiet(float64 a, float64 b, float_status *s)
+{
+    return float64_compare_quiet(a, b, s) == float_relation_equal;
+}
+
+static inline bool float64_le_quiet(float64 a, float64 b, float_status *s)
+{
+    return float64_compare_quiet(a, b, s) <= float_relation_equal;
+}
+
+static inline bool float64_lt_quiet(float64 a, float64 b, float_status *s)
+{
+    return float64_compare_quiet(a, b, s) < float_relation_equal;
+}
+
+static inline bool float64_unordered_quiet(float64 a, float64 b,
+                                           float_status *s)
+{
+    return float64_compare_quiet(a, b, s) == float_relation_unordered;
+}
+
+#define float64_zero make_float64(0)
+#define float64_half make_float64(0x3fe0000000000000LL)
+#define float64_one make_float64(0x3ff0000000000000LL)
+#define float64_one_point_five make_float64(0x3FF8000000000000ULL)
+#define float64_two make_float64(0x4000000000000000ULL)
+#define float64_three make_float64(0x4008000000000000ULL)
+#define float64_ln2 make_float64(0x3fe62e42fefa39efLL)
+#define float64_infinity make_float64(0x7ff0000000000000LL)
+
+/*----------------------------------------------------------------------------
+| The pattern for a default generated double-precision NaN.
+*----------------------------------------------------------------------------*/
+float64 float64_default_nan(float_status *status);
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE extended double-precision conversion routines.
+*----------------------------------------------------------------------------*/
+int32_t floatx80_to_int32(floatx80, float_status *status);
+int32_t floatx80_to_int32_round_to_zero(floatx80, float_status *status);
+int64_t floatx80_to_int64(floatx80, float_status *status);
+int64_t floatx80_to_int64_round_to_zero(floatx80, float_status *status);
+float32 floatx80_to_float32(floatx80, float_status *status);
+float64 floatx80_to_float64(floatx80, float_status *status);
+float128 floatx80_to_float128(floatx80, float_status *status);
+
+/*----------------------------------------------------------------------------
+| The pattern for an extended double-precision inf.
+*----------------------------------------------------------------------------*/
+extern const floatx80 floatx80_infinity;
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE extended double-precision operations.
+*----------------------------------------------------------------------------*/
+floatx80 floatx80_round(floatx80 a, float_status *status);
+floatx80 floatx80_round_to_int(floatx80, float_status *status);
+floatx80 floatx80_add(floatx80, floatx80, float_status *status);
+floatx80 floatx80_sub(floatx80, floatx80, float_status *status);
+floatx80 floatx80_mul(floatx80, floatx80, float_status *status);
+floatx80 floatx80_div(floatx80, floatx80, float_status *status);
+floatx80 floatx80_modrem(floatx80, floatx80, bool, uint64_t *,
+                         float_status *status);
+floatx80 floatx80_mod(floatx80, floatx80, float_status *status);
+floatx80 floatx80_rem(floatx80, floatx80, float_status *status);
+floatx80 floatx80_sqrt(floatx80, float_status *status);
+FloatRelation floatx80_compare(floatx80, floatx80, float_status *status);
+FloatRelation floatx80_compare_quiet(floatx80, floatx80, float_status *status);
+int floatx80_is_quiet_nan(floatx80, float_status *status);
+int floatx80_is_signaling_nan(floatx80, float_status *status);
+floatx80 floatx80_silence_nan(floatx80, float_status *status);
+floatx80 floatx80_scalbn(floatx80, int, float_status *status);
+
+static inline floatx80 floatx80_abs(floatx80 a)
+{
+    a.high &= 0x7fff;
+    return a;
+}
+
+static inline floatx80 floatx80_chs(floatx80 a)
+{
+    a.high ^= 0x8000;
+    return a;
+}
+
+static inline bool floatx80_is_infinity(floatx80 a)
+{
+#if defined(TARGET_M68K)
+    return (a.high & 0x7fff) == floatx80_infinity.high && !(a.low << 1);
+#else
+    return (a.high & 0x7fff) == floatx80_infinity.high &&
+                       a.low == floatx80_infinity.low;
+#endif
+}
+
+static inline bool floatx80_is_neg(floatx80 a)
+{
+    return a.high >> 15;
+}
+
+static inline bool floatx80_is_zero(floatx80 a)
+{
+    return (a.high & 0x7fff) == 0 && a.low == 0;
+}
+
+static inline bool floatx80_is_zero_or_denormal(floatx80 a)
+{
+    return (a.high & 0x7fff) == 0;
+}
+
+static inline bool floatx80_is_any_nan(floatx80 a)
+{
+    return ((a.high & 0x7fff) == 0x7fff) && (a.low<<1);
+}
+
+static inline bool floatx80_eq(floatx80 a, floatx80 b, float_status *s)
+{
+    return floatx80_compare(a, b, s) == float_relation_equal;
+}
+
+static inline bool floatx80_le(floatx80 a, floatx80 b, float_status *s)
+{
+    return floatx80_compare(a, b, s) <= float_relation_equal;
+}
+
+static inline bool floatx80_lt(floatx80 a, floatx80 b, float_status *s)
+{
+    return floatx80_compare(a, b, s) < float_relation_equal;
+}
+
+static inline bool floatx80_unordered(floatx80 a, floatx80 b, float_status *s)
+{
+    return floatx80_compare(a, b, s) == float_relation_unordered;
+}
+
+static inline bool floatx80_eq_quiet(floatx80 a, floatx80 b, float_status *s)
+{
+    return floatx80_compare_quiet(a, b, s) == float_relation_equal;
+}
+
+static inline bool floatx80_le_quiet(floatx80 a, floatx80 b, float_status *s)
+{
+    return floatx80_compare_quiet(a, b, s) <= float_relation_equal;
+}
+
+static inline bool floatx80_lt_quiet(floatx80 a, floatx80 b, float_status *s)
+{
+    return floatx80_compare_quiet(a, b, s) < float_relation_equal;
+}
+
+static inline bool floatx80_unordered_quiet(floatx80 a, floatx80 b,
+                                           float_status *s)
+{
+    return floatx80_compare_quiet(a, b, s) == float_relation_unordered;
+}
+
+/*----------------------------------------------------------------------------
+| Return whether the given value is an invalid floatx80 encoding.
+| Invalid floatx80 encodings arise when the integer bit is not set, but
+| the exponent is not zero. The only times the integer bit is permitted to
+| be zero is in subnormal numbers and the value zero.
+| This includes what the Intel software developer's manual calls pseudo-NaNs,
+| pseudo-infinities and un-normal numbers. It does not include
+| pseudo-denormals, which must still be correctly handled as inputs even
+| if they are never generated as outputs.
+*----------------------------------------------------------------------------*/
+static inline bool floatx80_invalid_encoding(floatx80 a)
+{
+#if defined(TARGET_M68K)
+    /*-------------------------------------------------------------------------
+    | With m68k, the explicit integer bit can be zero in the case of:
+    | - zeros                (exp == 0, mantissa == 0)
+    | - denormalized numbers (exp == 0, mantissa != 0)
+    | - unnormalized numbers (exp != 0, exp < 0x7FFF)
+    | - infinities           (exp == 0x7FFF, mantissa == 0)
+    | - not-a-numbers        (exp == 0x7FFF, mantissa != 0)
+    |
+    | For infinities and NaNs, the explicit integer bit can be either one or
+    | zero.
+    |
+    | The IEEE 754 standard does not define a zero integer bit. Such a number
+    | is an unnormalized number. Hardware does not directly support
+    | denormalized and unnormalized numbers, but implicitly supports them by
+    | trapping them as unimplemented data types, allowing efficient conversion
+    | in software.
+    |
+    | See "M68000 FAMILY PROGRAMMER’S REFERENCE MANUAL",
+    |     "1.6 FLOATING-POINT DATA TYPES"
+    *------------------------------------------------------------------------*/
+    return false;
+#else
+    return (a.low & (1ULL << 63)) == 0 && (a.high & 0x7FFF) != 0;
+#endif
+}
+
+#define floatx80_zero make_floatx80(0x0000, 0x0000000000000000LL)
+#define floatx80_zero_init make_floatx80_init(0x0000, 0x0000000000000000LL)
+#define floatx80_one make_floatx80(0x3fff, 0x8000000000000000LL)
+#define floatx80_ln2 make_floatx80(0x3ffe, 0xb17217f7d1cf79acLL)
+#define floatx80_pi make_floatx80(0x4000, 0xc90fdaa22168c235LL)
+#define floatx80_half make_floatx80(0x3ffe, 0x8000000000000000LL)
+
+/*----------------------------------------------------------------------------
+| Returns the fraction bits of the extended double-precision floating-point
+| value `a'.
+*----------------------------------------------------------------------------*/
+
+static inline uint64_t extractFloatx80Frac(floatx80 a)
+{
+    return a.low;
+}
+
+/*----------------------------------------------------------------------------
+| Returns the exponent bits of the extended double-precision floating-point
+| value `a'.
+*----------------------------------------------------------------------------*/
+
+static inline int32_t extractFloatx80Exp(floatx80 a)
+{
+    return a.high & 0x7FFF;
+}
+
+/*----------------------------------------------------------------------------
+| Returns the sign bit of the extended double-precision floating-point value
+| `a'.
+*----------------------------------------------------------------------------*/
+
+static inline bool extractFloatx80Sign(floatx80 a)
+{
+    return a.high >> 15;
+}
+
+/*----------------------------------------------------------------------------
+| Packs the sign `zSign', exponent `zExp', and significand `zSig' into an
+| extended double-precision floating-point value, returning the result.
+*----------------------------------------------------------------------------*/
+
+static inline floatx80 packFloatx80(bool zSign, int32_t zExp, uint64_t zSig)
+{
+    floatx80 z;
+
+    z.low = zSig;
+    z.high = (((uint16_t)zSign) << 15) + zExp;
+    return z;
+}
+
+/*----------------------------------------------------------------------------
+| Normalizes the subnormal extended double-precision floating-point value
+| represented by the denormalized significand `aSig'.  The normalized exponent
+| and significand are stored at the locations pointed to by `zExpPtr' and
+| `zSigPtr', respectively.
+*----------------------------------------------------------------------------*/
+
+void normalizeFloatx80Subnormal(uint64_t aSig, int32_t *zExpPtr,
+                                uint64_t *zSigPtr);
+
+/*----------------------------------------------------------------------------
+| Takes two extended double-precision floating-point values `a' and `b', one
+| of which is a NaN, and returns the appropriate NaN result.  If either `a' or
+| `b' is a signaling NaN, the invalid exception is raised.
+*----------------------------------------------------------------------------*/
+
+floatx80 propagateFloatx80NaN(floatx80 a, floatx80 b, float_status *status);
+
+/*----------------------------------------------------------------------------
+| Takes an abstract floating-point value having sign `zSign', exponent `zExp',
+| and extended significand formed by the concatenation of `zSig0' and `zSig1',
+| and returns the proper extended double-precision floating-point value
+| corresponding to the abstract input.  Ordinarily, the abstract value is
+| rounded and packed into the extended double-precision format, with the
+| inexact exception raised if the abstract input cannot be represented
+| exactly.  However, if the abstract value is too large, the overflow and
+| inexact exceptions are raised and an infinity or maximal finite value is
+| returned.  If the abstract value is too small, the input value is rounded to
+| a subnormal number, and the underflow and inexact exceptions are raised if
+| the abstract input cannot be represented exactly as a subnormal extended
+| double-precision floating-point number.
+|     If `roundingPrecision' is 32 or 64, the result is rounded to the same
+| number of bits as single or double precision, respectively.  Otherwise, the
+| result is rounded to the full precision of the extended double-precision
+| format.
+|     The input significand must be normalized or smaller.  If the input
+| significand is not normalized, `zExp' must be 0; in that case, the result
+| returned is a subnormal number, and it must not require rounding.  The
+| handling of underflow and overflow follows the IEC/IEEE Standard for Binary
+| Floating-Point Arithmetic.
+*----------------------------------------------------------------------------*/
+
+floatx80 roundAndPackFloatx80(FloatX80RoundPrec roundingPrecision, bool zSign,
+                              int32_t zExp, uint64_t zSig0, uint64_t zSig1,
+                              float_status *status);
+
+/*----------------------------------------------------------------------------
+| Takes an abstract floating-point value having sign `zSign', exponent
+| `zExp', and significand formed by the concatenation of `zSig0' and `zSig1',
+| and returns the proper extended double-precision floating-point value
+| corresponding to the abstract input.  This routine is just like
+| `roundAndPackFloatx80' except that the input significand does not have to be
+| normalized.
+*----------------------------------------------------------------------------*/
+
+floatx80 normalizeRoundAndPackFloatx80(FloatX80RoundPrec roundingPrecision,
+                                       bool zSign, int32_t zExp,
+                                       uint64_t zSig0, uint64_t zSig1,
+                                       float_status *status);
+
+/*----------------------------------------------------------------------------
+| The pattern for a default generated extended double-precision NaN.
+*----------------------------------------------------------------------------*/
+floatx80 floatx80_default_nan(float_status *status);
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE quadruple-precision conversion routines.
+*----------------------------------------------------------------------------*/
+int32_t float128_to_int32(float128, float_status *status);
+int32_t float128_to_int32_round_to_zero(float128, float_status *status);
+int64_t float128_to_int64(float128, float_status *status);
+int64_t float128_to_int64_round_to_zero(float128, float_status *status);
+uint64_t float128_to_uint64(float128, float_status *status);
+uint64_t float128_to_uint64_round_to_zero(float128, float_status *status);
+uint32_t float128_to_uint32(float128, float_status *status);
+uint32_t float128_to_uint32_round_to_zero(float128, float_status *status);
+float32 float128_to_float32(float128, float_status *status);
+float64 float128_to_float64(float128, float_status *status);
+floatx80 float128_to_floatx80(float128, float_status *status);
+
+/*----------------------------------------------------------------------------
+| Software IEC/IEEE quadruple-precision operations.
+*----------------------------------------------------------------------------*/
+float128 float128_round_to_int(float128, float_status *status);
+float128 float128_add(float128, float128, float_status *status);
+float128 float128_sub(float128, float128, float_status *status);
+float128 float128_mul(float128, float128, float_status *status);
+float128 float128_muladd(float128, float128, float128, int,
+                         float_status *status);
+float128 float128_div(float128, float128, float_status *status);
+float128 float128_rem(float128, float128, float_status *status);
+float128 float128_sqrt(float128, float_status *status);
+FloatRelation float128_compare(float128, float128, float_status *status);
+FloatRelation float128_compare_quiet(float128, float128, float_status *status);
+float128 float128_min(float128, float128, float_status *status);
+float128 float128_max(float128, float128, float_status *status);
+float128 float128_minnum(float128, float128, float_status *status);
+float128 float128_maxnum(float128, float128, float_status *status);
+float128 float128_minnummag(float128, float128, float_status *status);
+float128 float128_maxnummag(float128, float128, float_status *status);
+float128 float128_minimum_number(float128, float128, float_status *status);
+float128 float128_maximum_number(float128, float128, float_status *status);
+bool float128_is_quiet_nan(float128, float_status *status);
+bool float128_is_signaling_nan(float128, float_status *status);
+float128 float128_silence_nan(float128, float_status *status);
+float128 float128_scalbn(float128, int, float_status *status);
+
+static inline float128 float128_abs(float128 a)
+{
+    a.high &= 0x7fffffffffffffffLL;
+    return a;
+}
+
+static inline float128 float128_chs(float128 a)
+{
+    a.high ^= 0x8000000000000000LL;
+    return a;
+}
+
+static inline bool float128_is_infinity(float128 a)
+{
+    return (a.high & 0x7fffffffffffffffLL) == 0x7fff000000000000LL && a.low == 0;
+}
+
+static inline bool float128_is_neg(float128 a)
+{
+    return a.high >> 63;
+}
+
+static inline bool float128_is_zero(float128 a)
+{
+    return (a.high & 0x7fffffffffffffffLL) == 0 && a.low == 0;
+}
+
+static inline bool float128_is_zero_or_denormal(float128 a)
+{
+    return (a.high & 0x7fff000000000000LL) == 0;
+}
+
+static inline bool float128_is_normal(float128 a)
+{
+    return (((a.high >> 48) + 1) & 0x7fff) >= 2;
+}
+
+static inline bool float128_is_denormal(float128 a)
+{
+    return float128_is_zero_or_denormal(a) && !float128_is_zero(a);
+}
+
+static inline bool float128_is_any_nan(float128 a)
+{
+    return ((a.high >> 48) & 0x7fff) == 0x7fff &&
+        ((a.low != 0) || ((a.high & 0xffffffffffffLL) != 0));
+}
+
+static inline bool float128_eq(float128 a, float128 b, float_status *s)
+{
+    return float128_compare(a, b, s) == float_relation_equal;
+}
+
+static inline bool float128_le(float128 a, float128 b, float_status *s)
+{
+    return float128_compare(a, b, s) <= float_relation_equal;
+}
+
+static inline bool float128_lt(float128 a, float128 b, float_status *s)
+{
+    return float128_compare(a, b, s) < float_relation_equal;
+}
+
+static inline bool float128_unordered(float128 a, float128 b, float_status *s)
+{
+    return float128_compare(a, b, s) == float_relation_unordered;
+}
+
+static inline bool float128_eq_quiet(float128 a, float128 b, float_status *s)
+{
+    return float128_compare_quiet(a, b, s) == float_relation_equal;
+}
+
+static inline bool float128_le_quiet(float128 a, float128 b, float_status *s)
+{
+    return float128_compare_quiet(a, b, s) <= float_relation_equal;
+}
+
+static inline bool float128_lt_quiet(float128 a, float128 b, float_status *s)
+{
+    return float128_compare_quiet(a, b, s) < float_relation_equal;
+}
+
+static inline bool float128_unordered_quiet(float128 a, float128 b,
+                                           float_status *s)
+{
+    return float128_compare_quiet(a, b, s) == float_relation_unordered;
+}
+
+#define float128_zero make_float128(0, 0)
+
+/*----------------------------------------------------------------------------
+| The pattern for a default generated quadruple-precision NaN.
+*----------------------------------------------------------------------------*/
+float128 float128_default_nan(float_status *status);
+
+#endif /* SOFTFLOAT_H */