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+/* fp16.c
+ *
+ * Copyright 2021 Red Hat, Inc.
+ *
+ * This library is free software; you can redistribute it and/or
+ * modify it under the terms of the GNU Lesser General Public
+ * License as published by the Free Software Foundation; either
+ * version 2.1 of the License, or (at your option) any later version.
+ *
+ * This library 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
+ * Lesser General Public License for more details.
+ *
+ * You should have received a copy of the GNU Lesser General Public
+ * License along with this program. If not, see <http://www.gnu.org/licenses/>.
+ *
+ * SPDX-License-Identifier: LGPL-2.1-or-later
+ */
+
+#include <config.h>
+
+#include "fp16private.h"
+
+#ifdef HAVE_F16C
+#include <immintrin.h>
+#endif
+
+static inline guint
+as_uint (const float x)
+{
+ return *(guint*)&x;
+}
+
+static inline float
+as_float (const guint x)
+{
+ return *(float*)&x;
+}
+
+// IEEE-754 16-bit floating-point format (without infinity): 1-5-10
+
+static inline float
+half_to_float (const guint16 x)
+{
+ const guint e = (x&0x7C00)>>10; // exponent
+ const guint m = (x&0x03FF)<<13; // mantissa
+ const guint v = as_uint((float)m)>>23;
+ return as_float((x&0x8000)<<16 | (e!=0)*((e+112)<<23|m) | ((e==0)&(m!=0))*((v-37)<<23|((m<<(150-v))&0x007FE000)));
+}
+
+static inline guint16
+float_to_half (const float x)
+{
+ const guint b = as_uint(x)+0x00001000; // round-to-nearest-even
+ const guint e = (b&0x7F800000)>>23; // exponent
+ const guint m = b&0x007FFFFF; // mantissa
+ return (b&0x80000000)>>16 | (e>112)*((((e-112)<<10)&0x7C00)|m>>13) | ((e<113)&(e>101))*((((0x007FF000+m)>>(125-e))+1)>>1) | (e>143)*0x7FFF; // sign : normalized : denormalized : saturate
+}
+
+static void
+float_to_half4_c (const float f[4],
+ guint16 h[4])
+{
+ h[0] = float_to_half (f[0]);
+ h[1] = float_to_half (f[1]);
+ h[2] = float_to_half (f[2]);
+ h[3] = float_to_half (f[3]);
+}
+
+static void
+half_to_float4_c (const guint16 h[4],
+ float f[4])
+{
+ f[0] = half_to_float (h[0]);
+ f[1] = half_to_float (h[1]);
+ f[2] = half_to_float (h[2]);
+ f[3] = half_to_float (h[3]);
+}
+
+#ifdef HAVE_F16C
+
+static void
+float_to_half4_f16c (const float f[4],
+ guint16 h[4])
+{
+ __m128 s = _mm_loadu_ps (f);
+ __m128i i = _mm_cvtps_ph (s, 0);
+ _mm_storel_epi64 ((__m128i*)h, i);
+}
+
+static void
+half_to_float4_f16c (const guint16 h[4],
+ float f[4])
+{
+ __m128i i = _mm_loadl_epi64 ((__m128i_u const *)h);
+ __m128 s = _mm_cvtph_ps (i);
+ _mm_store_ps (f, s);
+}
+
+void float_to_half4 (const float f[4], guint16 h[4]) __attribute__((ifunc ("resolve_float_to_half4")));
+void half_to_float4 (const guint16 h[4], float f[4]) __attribute__((ifunc ("resolve_half_to_float4")));
+
+static void *
+resolve_float_to_half4 (void)
+{
+ __builtin_cpu_init ();
+ if (__builtin_cpu_supports ("f16c"))
+ return float_to_half4_f16c;
+ else
+ return float_to_half4_c;
+}
+
+static void *
+resolve_half_to_float4 (void)
+{
+ __builtin_cpu_init ();
+ if (__builtin_cpu_supports ("f16c"))
+ return half_to_float4_f16c;
+ else
+ return half_to_float4_c;
+}
+
+#else
+
+#ifdef __APPLE__
+// turns out aliases don't work on Darwin
+
+void
+float_to_half4 (const float f[4],
+ guint16 h[4])
+{
+ float_to_half4_c (f, h);
+}
+
+void
+half_to_float4 (const guint16 h[4],
+ float f[4])
+{
+ half_to_float4_c (h, f);
+}
+
+#else
+
+void float_to_half4 (const float f[4], guint16 h[4]) __attribute__((alias ("float_to_half4_c")));
+void half_to_float4 (const guint16 h[4], float f[4]) __attribute__((alias ("half_to_float4_c")));
+
+#endif
+
+#endif /* GTK_HAS_F16C */