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+// SPDX-License-Identifier: Apache-2.0
+// ----------------------------------------------------------------------------
+// Copyright 2019-2022 Arm Limited
+//
+// Licensed under the Apache License, Version 2.0 (the "License"); you may not
+// use this file except in compliance with the License. You may obtain a copy
+// of the License at:
+//
+// http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
+// WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the
+// License for the specific language governing permissions and limitations
+// under the License.
+// ----------------------------------------------------------------------------
+
+/**
+ * @brief 4x32-bit vectors, implemented using SSE.
+ *
+ * This module implements 4-wide 32-bit float, int, and mask vectors for x86
+ * SSE. The implementation requires at least SSE2, but higher levels of SSE can
+ * be selected at compile time to improve performance.
+ *
+ * There is a baseline level of functionality provided by all vector widths and
+ * implementations. This is implemented using identical function signatures,
+ * modulo data type, so we can use them as substitutable implementations in VLA
+ * code.
+ *
+ * The 4-wide vectors are also used as a fixed-width type, and significantly
+ * extend the functionality above that available to VLA code.
+ */
+
+#ifndef ASTC_VECMATHLIB_SSE_4_H_INCLUDED
+#define ASTC_VECMATHLIB_SSE_4_H_INCLUDED
+
+#ifndef ASTCENC_SIMD_INLINE
+ #error "Include astcenc_vecmathlib.h, do not include directly"
+#endif
+
+#include <cstdio>
+
+// ============================================================================
+// vfloat4 data type
+// ============================================================================
+
+/**
+ * @brief Data type for 4-wide floats.
+ */
+struct vfloat4
+{
+ /**
+ * @brief Construct from zero-initialized value.
+ */
+ ASTCENC_SIMD_INLINE vfloat4() = default;
+
+ /**
+ * @brief Construct from 4 values loaded from an unaligned address.
+ *
+ * Consider using loada() which is better with vectors if data is aligned
+ * to vector length.
+ */
+ ASTCENC_SIMD_INLINE explicit vfloat4(const float *p)
+ {
+ m = _mm_loadu_ps(p);
+ }
+
+ /**
+ * @brief Construct from 1 scalar value replicated across all lanes.
+ *
+ * Consider using zero() for constexpr zeros.
+ */
+ ASTCENC_SIMD_INLINE explicit vfloat4(float a)
+ {
+ m = _mm_set1_ps(a);
+ }
+
+ /**
+ * @brief Construct from 4 scalar values.
+ *
+ * The value of @c a is stored to lane 0 (LSB) in the SIMD register.
+ */
+ ASTCENC_SIMD_INLINE explicit vfloat4(float a, float b, float c, float d)
+ {
+ m = _mm_set_ps(d, c, b, a);
+ }
+
+ /**
+ * @brief Construct from an existing SIMD register.
+ */
+ ASTCENC_SIMD_INLINE explicit vfloat4(__m128 a)
+ {
+ m = a;
+ }
+
+ /**
+ * @brief Get the scalar value of a single lane.
+ */
+ template <int l> ASTCENC_SIMD_INLINE float lane() const
+ {
+ return _mm_cvtss_f32(_mm_shuffle_ps(m, m, l));
+ }
+
+ /**
+ * @brief Set the scalar value of a single lane.
+ */
+ template <int l> ASTCENC_SIMD_INLINE void set_lane(float a)
+ {
+#if ASTCENC_SSE >= 41
+ __m128 v = _mm_set1_ps(a);
+ m = _mm_insert_ps(m, v, l << 6 | l << 4);
+#else
+ alignas(16) float idx[4];
+ _mm_store_ps(idx, m);
+ idx[l] = a;
+ m = _mm_load_ps(idx);
+#endif
+ }
+
+ /**
+ * @brief Factory that returns a vector of zeros.
+ */
+ static ASTCENC_SIMD_INLINE vfloat4 zero()
+ {
+ return vfloat4(_mm_setzero_ps());
+ }
+
+ /**
+ * @brief Factory that returns a replicated scalar loaded from memory.
+ */
+ static ASTCENC_SIMD_INLINE vfloat4 load1(const float* p)
+ {
+ return vfloat4(_mm_load_ps1(p));
+ }
+
+ /**
+ * @brief Factory that returns a vector loaded from 16B aligned memory.
+ */
+ static ASTCENC_SIMD_INLINE vfloat4 loada(const float* p)
+ {
+ return vfloat4(_mm_load_ps(p));
+ }
+
+ /**
+ * @brief Factory that returns a vector containing the lane IDs.
+ */
+ static ASTCENC_SIMD_INLINE vfloat4 lane_id()
+ {
+ return vfloat4(_mm_set_ps(3, 2, 1, 0));
+ }
+
+ /**
+ * @brief Return a swizzled float 2.
+ */
+ template <int l0, int l1> ASTCENC_SIMD_INLINE vfloat4 swz() const
+ {
+ vfloat4 result(_mm_shuffle_ps(m, m, l0 | l1 << 2));
+ result.set_lane<2>(0.0f);
+ result.set_lane<3>(0.0f);
+ return result;
+ }
+
+ /**
+ * @brief Return a swizzled float 3.
+ */
+ template <int l0, int l1, int l2> ASTCENC_SIMD_INLINE vfloat4 swz() const
+ {
+ vfloat4 result(_mm_shuffle_ps(m, m, l0 | l1 << 2 | l2 << 4));
+ result.set_lane<3>(0.0f);
+ return result;
+ }
+
+ /**
+ * @brief Return a swizzled float 4.
+ */
+ template <int l0, int l1, int l2, int l3> ASTCENC_SIMD_INLINE vfloat4 swz() const
+ {
+ return vfloat4(_mm_shuffle_ps(m, m, l0 | l1 << 2 | l2 << 4 | l3 << 6));
+ }
+
+ /**
+ * @brief The vector ...
+ */
+ __m128 m;
+};
+
+// ============================================================================
+// vint4 data type
+// ============================================================================
+
+/**
+ * @brief Data type for 4-wide ints.
+ */
+struct vint4
+{
+ /**
+ * @brief Construct from zero-initialized value.
+ */
+ ASTCENC_SIMD_INLINE vint4() = default;
+
+ /**
+ * @brief Construct from 4 values loaded from an unaligned address.
+ *
+ * Consider using loada() which is better with vectors if data is aligned
+ * to vector length.
+ */
+ ASTCENC_SIMD_INLINE explicit vint4(const int *p)
+ {
+ m = _mm_loadu_si128(reinterpret_cast<const __m128i*>(p));
+ }
+
+ /**
+ * @brief Construct from 4 uint8_t loaded from an unaligned address.
+ */
+ ASTCENC_SIMD_INLINE explicit vint4(const uint8_t *p)
+ {
+ // _mm_loadu_si32 would be nicer syntax, but missing on older GCC
+ __m128i t = _mm_cvtsi32_si128(*reinterpret_cast<const int*>(p));
+
+#if ASTCENC_SSE >= 41
+ m = _mm_cvtepu8_epi32(t);
+#else
+ t = _mm_unpacklo_epi8(t, _mm_setzero_si128());
+ m = _mm_unpacklo_epi16(t, _mm_setzero_si128());
+#endif
+ }
+
+ /**
+ * @brief Construct from 1 scalar value replicated across all lanes.
+ *
+ * Consider using vfloat4::zero() for constexpr zeros.
+ */
+ ASTCENC_SIMD_INLINE explicit vint4(int a)
+ {
+ m = _mm_set1_epi32(a);
+ }
+
+ /**
+ * @brief Construct from 4 scalar values.
+ *
+ * The value of @c a is stored to lane 0 (LSB) in the SIMD register.
+ */
+ ASTCENC_SIMD_INLINE explicit vint4(int a, int b, int c, int d)
+ {
+ m = _mm_set_epi32(d, c, b, a);
+ }
+
+ /**
+ * @brief Construct from an existing SIMD register.
+ */
+ ASTCENC_SIMD_INLINE explicit vint4(__m128i a)
+ {
+ m = a;
+ }
+
+ /**
+ * @brief Get the scalar from a single lane.
+ */
+ template <int l> ASTCENC_SIMD_INLINE int lane() const
+ {
+ return _mm_cvtsi128_si32(_mm_shuffle_epi32(m, l));
+ }
+
+ /**
+ * @brief Set the scalar value of a single lane.
+ */
+ template <int l> ASTCENC_SIMD_INLINE void set_lane(int a)
+ {
+#if ASTCENC_SSE >= 41
+ m = _mm_insert_epi32(m, a, l);
+#else
+ alignas(16) int idx[4];
+ _mm_store_si128(reinterpret_cast<__m128i*>(idx), m);
+ idx[l] = a;
+ m = _mm_load_si128(reinterpret_cast<const __m128i*>(idx));
+#endif
+ }
+
+ /**
+ * @brief Factory that returns a vector of zeros.
+ */
+ static ASTCENC_SIMD_INLINE vint4 zero()
+ {
+ return vint4(_mm_setzero_si128());
+ }
+
+ /**
+ * @brief Factory that returns a replicated scalar loaded from memory.
+ */
+ static ASTCENC_SIMD_INLINE vint4 load1(const int* p)
+ {
+ return vint4(*p);
+ }
+
+ /**
+ * @brief Factory that returns a vector loaded from 16B aligned memory.
+ */
+ static ASTCENC_SIMD_INLINE vint4 loada(const int* p)
+ {
+ return vint4(_mm_load_si128(reinterpret_cast<const __m128i*>(p)));
+ }
+
+ /**
+ * @brief Factory that returns a vector containing the lane IDs.
+ */
+ static ASTCENC_SIMD_INLINE vint4 lane_id()
+ {
+ return vint4(_mm_set_epi32(3, 2, 1, 0));
+ }
+
+ /**
+ * @brief The vector ...
+ */
+ __m128i m;
+};
+
+// ============================================================================
+// vmask4 data type
+// ============================================================================
+
+/**
+ * @brief Data type for 4-wide control plane masks.
+ */
+struct vmask4
+{
+ /**
+ * @brief Construct from an existing SIMD register.
+ */
+ ASTCENC_SIMD_INLINE explicit vmask4(__m128 a)
+ {
+ m = a;
+ }
+
+ /**
+ * @brief Construct from an existing SIMD register.
+ */
+ ASTCENC_SIMD_INLINE explicit vmask4(__m128i a)
+ {
+ m = _mm_castsi128_ps(a);
+ }
+
+ /**
+ * @brief Construct from 1 scalar value.
+ */
+ ASTCENC_SIMD_INLINE explicit vmask4(bool a)
+ {
+ vint4 mask(a == false ? 0 : -1);
+ m = _mm_castsi128_ps(mask.m);
+ }
+
+ /**
+ * @brief Construct from 4 scalar values.
+ *
+ * The value of @c a is stored to lane 0 (LSB) in the SIMD register.
+ */
+ ASTCENC_SIMD_INLINE explicit vmask4(bool a, bool b, bool c, bool d)
+ {
+ vint4 mask(a == false ? 0 : -1,
+ b == false ? 0 : -1,
+ c == false ? 0 : -1,
+ d == false ? 0 : -1);
+
+ m = _mm_castsi128_ps(mask.m);
+ }
+
+ /**
+ * @brief Get the scalar value of a single lane.
+ */
+ template <int l> ASTCENC_SIMD_INLINE float lane() const
+ {
+ return _mm_cvtss_f32(_mm_shuffle_ps(m, m, l));
+ }
+
+ /**
+ * @brief The vector ...
+ */
+ __m128 m;
+};
+
+// ============================================================================
+// vmask4 operators and functions
+// ============================================================================
+
+/**
+ * @brief Overload: mask union (or).
+ */
+ASTCENC_SIMD_INLINE vmask4 operator|(vmask4 a, vmask4 b)
+{
+ return vmask4(_mm_or_ps(a.m, b.m));
+}
+
+/**
+ * @brief Overload: mask intersect (and).
+ */
+ASTCENC_SIMD_INLINE vmask4 operator&(vmask4 a, vmask4 b)
+{
+ return vmask4(_mm_and_ps(a.m, b.m));
+}
+
+/**
+ * @brief Overload: mask difference (xor).
+ */
+ASTCENC_SIMD_INLINE vmask4 operator^(vmask4 a, vmask4 b)
+{
+ return vmask4(_mm_xor_ps(a.m, b.m));
+}
+
+/**
+ * @brief Overload: mask invert (not).
+ */
+ASTCENC_SIMD_INLINE vmask4 operator~(vmask4 a)
+{
+ return vmask4(_mm_xor_si128(_mm_castps_si128(a.m), _mm_set1_epi32(-1)));
+}
+
+/**
+ * @brief Return a 4-bit mask code indicating mask status.
+ *
+ * bit0 = lane 0
+ */
+ASTCENC_SIMD_INLINE unsigned int mask(vmask4 a)
+{
+ return static_cast<unsigned int>(_mm_movemask_ps(a.m));
+}
+
+// ============================================================================
+// vint4 operators and functions
+// ============================================================================
+
+/**
+ * @brief Overload: vector by vector addition.
+ */
+ASTCENC_SIMD_INLINE vint4 operator+(vint4 a, vint4 b)
+{
+ return vint4(_mm_add_epi32(a.m, b.m));
+}
+
+/**
+ * @brief Overload: vector by vector subtraction.
+ */
+ASTCENC_SIMD_INLINE vint4 operator-(vint4 a, vint4 b)
+{
+ return vint4(_mm_sub_epi32(a.m, b.m));
+}
+
+/**
+ * @brief Overload: vector by vector multiplication.
+ */
+ASTCENC_SIMD_INLINE vint4 operator*(vint4 a, vint4 b)
+{
+#if ASTCENC_SSE >= 41
+ return vint4(_mm_mullo_epi32 (a.m, b.m));
+#else
+ __m128i t1 = _mm_mul_epu32(a.m, b.m);
+ __m128i t2 = _mm_mul_epu32(
+ _mm_srli_si128(a.m, 4),
+ _mm_srli_si128(b.m, 4));
+ __m128i r = _mm_unpacklo_epi32(
+ _mm_shuffle_epi32(t1, _MM_SHUFFLE (0, 0, 2, 0)),
+ _mm_shuffle_epi32(t2, _MM_SHUFFLE (0, 0, 2, 0)));
+ return vint4(r);
+#endif
+}
+
+/**
+ * @brief Overload: vector bit invert.
+ */
+ASTCENC_SIMD_INLINE vint4 operator~(vint4 a)
+{
+ return vint4(_mm_xor_si128(a.m, _mm_set1_epi32(-1)));
+}
+
+/**
+ * @brief Overload: vector by vector bitwise or.
+ */
+ASTCENC_SIMD_INLINE vint4 operator|(vint4 a, vint4 b)
+{
+ return vint4(_mm_or_si128(a.m, b.m));
+}
+
+/**
+ * @brief Overload: vector by vector bitwise and.
+ */
+ASTCENC_SIMD_INLINE vint4 operator&(vint4 a, vint4 b)
+{
+ return vint4(_mm_and_si128(a.m, b.m));
+}
+
+/**
+ * @brief Overload: vector by vector bitwise xor.
+ */
+ASTCENC_SIMD_INLINE vint4 operator^(vint4 a, vint4 b)
+{
+ return vint4(_mm_xor_si128(a.m, b.m));
+}
+
+/**
+ * @brief Overload: vector by vector equality.
+ */
+ASTCENC_SIMD_INLINE vmask4 operator==(vint4 a, vint4 b)
+{
+ return vmask4(_mm_cmpeq_epi32(a.m, b.m));
+}
+
+/**
+ * @brief Overload: vector by vector inequality.
+ */
+ASTCENC_SIMD_INLINE vmask4 operator!=(vint4 a, vint4 b)
+{
+ return ~vmask4(_mm_cmpeq_epi32(a.m, b.m));
+}
+
+/**
+ * @brief Overload: vector by vector less than.
+ */
+ASTCENC_SIMD_INLINE vmask4 operator<(vint4 a, vint4 b)
+{
+ return vmask4(_mm_cmplt_epi32(a.m, b.m));
+}
+
+/**
+ * @brief Overload: vector by vector greater than.
+ */
+ASTCENC_SIMD_INLINE vmask4 operator>(vint4 a, vint4 b)
+{
+ return vmask4(_mm_cmpgt_epi32(a.m, b.m));
+}
+
+/**
+ * @brief Logical shift left.
+ */
+template <int s> ASTCENC_SIMD_INLINE vint4 lsl(vint4 a)
+{
+ return vint4(_mm_slli_epi32(a.m, s));
+}
+
+/**
+ * @brief Logical shift right.
+ */
+template <int s> ASTCENC_SIMD_INLINE vint4 lsr(vint4 a)
+{
+ return vint4(_mm_srli_epi32(a.m, s));
+}
+
+/**
+ * @brief Arithmetic shift right.
+ */
+template <int s> ASTCENC_SIMD_INLINE vint4 asr(vint4 a)
+{
+ return vint4(_mm_srai_epi32(a.m, s));
+}
+
+/**
+ * @brief Return the min vector of two vectors.
+ */
+ASTCENC_SIMD_INLINE vint4 min(vint4 a, vint4 b)
+{
+#if ASTCENC_SSE >= 41
+ return vint4(_mm_min_epi32(a.m, b.m));
+#else
+ vmask4 d = a < b;
+ __m128i ap = _mm_and_si128(_mm_castps_si128(d.m), a.m);
+ __m128i bp = _mm_andnot_si128(_mm_castps_si128(d.m), b.m);
+ return vint4(_mm_or_si128(ap,bp));
+#endif
+}
+
+/**
+ * @brief Return the max vector of two vectors.
+ */
+ASTCENC_SIMD_INLINE vint4 max(vint4 a, vint4 b)
+{
+#if ASTCENC_SSE >= 41
+ return vint4(_mm_max_epi32(a.m, b.m));
+#else
+ vmask4 d = a > b;
+ __m128i ap = _mm_and_si128(_mm_castps_si128(d.m), a.m);
+ __m128i bp = _mm_andnot_si128(_mm_castps_si128(d.m), b.m);
+ return vint4(_mm_or_si128(ap,bp));
+#endif
+}
+
+/**
+ * @brief Return the horizontal minimum of a vector.
+ */
+ASTCENC_SIMD_INLINE vint4 hmin(vint4 a)
+{
+ a = min(a, vint4(_mm_shuffle_epi32(a.m, _MM_SHUFFLE(0, 0, 3, 2))));
+ a = min(a, vint4(_mm_shuffle_epi32(a.m, _MM_SHUFFLE(0, 0, 0, 1))));
+ return vint4(_mm_shuffle_epi32(a.m, _MM_SHUFFLE(0, 0, 0, 0)));
+}
+
+/*
+ * @brief Return the horizontal maximum of a vector.
+ */
+ASTCENC_SIMD_INLINE vint4 hmax(vint4 a)
+{
+ a = max(a, vint4(_mm_shuffle_epi32(a.m, _MM_SHUFFLE(0, 0, 3, 2))));
+ a = max(a, vint4(_mm_shuffle_epi32(a.m, _MM_SHUFFLE(0, 0, 0, 1))));
+ return vint4(_mm_shuffle_epi32(a.m, _MM_SHUFFLE(0, 0, 0, 0)));
+}
+
+/**
+ * @brief Return the horizontal sum of a vector as a scalar.
+ */
+ASTCENC_SIMD_INLINE int hadd_s(vint4 a)
+{
+ // Add top and bottom halves, lane 1/0
+ __m128i fold = _mm_castps_si128(_mm_movehl_ps(_mm_castsi128_ps(a.m),
+ _mm_castsi128_ps(a.m)));
+ __m128i t = _mm_add_epi32(a.m, fold);
+
+ // Add top and bottom halves, lane 0 (_mm_hadd_ps exists but slow)
+ t = _mm_add_epi32(t, _mm_shuffle_epi32(t, 0x55));
+
+ return _mm_cvtsi128_si32(t);
+}
+
+/**
+ * @brief Store a vector to a 16B aligned memory address.
+ */
+ASTCENC_SIMD_INLINE void storea(vint4 a, int* p)
+{
+ _mm_store_si128(reinterpret_cast<__m128i*>(p), a.m);
+}
+
+/**
+ * @brief Store a vector to an unaligned memory address.
+ */
+ASTCENC_SIMD_INLINE void store(vint4 a, int* p)
+{
+ // Cast due to missing intrinsics
+ _mm_storeu_ps(reinterpret_cast<float*>(p), _mm_castsi128_ps(a.m));
+}
+
+/**
+ * @brief Store lowest N (vector width) bytes into an unaligned address.
+ */
+ASTCENC_SIMD_INLINE void store_nbytes(vint4 a, uint8_t* p)
+{
+ // Cast due to missing intrinsics
+ _mm_store_ss(reinterpret_cast<float*>(p), _mm_castsi128_ps(a.m));
+}
+
+/**
+ * @brief Gather N (vector width) indices from the array.
+ */
+ASTCENC_SIMD_INLINE vint4 gatheri(const int* base, vint4 indices)
+{
+#if ASTCENC_AVX >= 2
+ return vint4(_mm_i32gather_epi32(base, indices.m, 4));
+#else
+ alignas(16) int idx[4];
+ storea(indices, idx);
+ return vint4(base[idx[0]], base[idx[1]], base[idx[2]], base[idx[3]]);
+#endif
+}
+
+/**
+ * @brief Pack low 8 bits of N (vector width) lanes into bottom of vector.
+ */
+ASTCENC_SIMD_INLINE vint4 pack_low_bytes(vint4 a)
+{
+#if ASTCENC_SSE >= 41
+ __m128i shuf = _mm_set_epi8(0,0,0,0, 0,0,0,0, 0,0,0,0, 12,8,4,0);
+ return vint4(_mm_shuffle_epi8(a.m, shuf));
+#else
+ __m128i va = _mm_unpacklo_epi8(a.m, _mm_shuffle_epi32(a.m, _MM_SHUFFLE(1,1,1,1)));
+ __m128i vb = _mm_unpackhi_epi8(a.m, _mm_shuffle_epi32(a.m, _MM_SHUFFLE(3,3,3,3)));
+ return vint4(_mm_unpacklo_epi16(va, vb));
+#endif
+}
+
+/**
+ * @brief Return lanes from @c b if @c cond is set, else @c a.
+ */
+ASTCENC_SIMD_INLINE vint4 select(vint4 a, vint4 b, vmask4 cond)
+{
+ __m128i condi = _mm_castps_si128(cond.m);
+
+#if ASTCENC_SSE >= 41
+ return vint4(_mm_blendv_epi8(a.m, b.m, condi));
+#else
+ return vint4(_mm_or_si128(_mm_and_si128(condi, b.m), _mm_andnot_si128(condi, a.m)));
+#endif
+}
+
+// ============================================================================
+// vfloat4 operators and functions
+// ============================================================================
+
+/**
+ * @brief Overload: vector by vector addition.
+ */
+ASTCENC_SIMD_INLINE vfloat4 operator+(vfloat4 a, vfloat4 b)
+{
+ return vfloat4(_mm_add_ps(a.m, b.m));
+}
+
+/**
+ * @brief Overload: vector by vector subtraction.
+ */
+ASTCENC_SIMD_INLINE vfloat4 operator-(vfloat4 a, vfloat4 b)
+{
+ return vfloat4(_mm_sub_ps(a.m, b.m));
+}
+
+/**
+ * @brief Overload: vector by vector multiplication.
+ */
+ASTCENC_SIMD_INLINE vfloat4 operator*(vfloat4 a, vfloat4 b)
+{
+ return vfloat4(_mm_mul_ps(a.m, b.m));
+}
+
+/**
+ * @brief Overload: vector by vector division.
+ */
+ASTCENC_SIMD_INLINE vfloat4 operator/(vfloat4 a, vfloat4 b)
+{
+ return vfloat4(_mm_div_ps(a.m, b.m));
+}
+
+/**
+ * @brief Overload: vector by vector equality.
+ */
+ASTCENC_SIMD_INLINE vmask4 operator==(vfloat4 a, vfloat4 b)
+{
+ return vmask4(_mm_cmpeq_ps(a.m, b.m));
+}
+
+/**
+ * @brief Overload: vector by vector inequality.
+ */
+ASTCENC_SIMD_INLINE vmask4 operator!=(vfloat4 a, vfloat4 b)
+{
+ return vmask4(_mm_cmpneq_ps(a.m, b.m));
+}
+
+/**
+ * @brief Overload: vector by vector less than.
+ */
+ASTCENC_SIMD_INLINE vmask4 operator<(vfloat4 a, vfloat4 b)
+{
+ return vmask4(_mm_cmplt_ps(a.m, b.m));
+}
+
+/**
+ * @brief Overload: vector by vector greater than.
+ */
+ASTCENC_SIMD_INLINE vmask4 operator>(vfloat4 a, vfloat4 b)
+{
+ return vmask4(_mm_cmpgt_ps(a.m, b.m));
+}
+
+/**
+ * @brief Overload: vector by vector less than or equal.
+ */
+ASTCENC_SIMD_INLINE vmask4 operator<=(vfloat4 a, vfloat4 b)
+{
+ return vmask4(_mm_cmple_ps(a.m, b.m));
+}
+
+/**
+ * @brief Overload: vector by vector greater than or equal.
+ */
+ASTCENC_SIMD_INLINE vmask4 operator>=(vfloat4 a, vfloat4 b)
+{
+ return vmask4(_mm_cmpge_ps(a.m, b.m));
+}
+
+/**
+ * @brief Return the min vector of two vectors.
+ *
+ * If either lane value is NaN, @c b will be returned for that lane.
+ */
+ASTCENC_SIMD_INLINE vfloat4 min(vfloat4 a, vfloat4 b)
+{
+ // Do not reorder - second operand will return if either is NaN
+ return vfloat4(_mm_min_ps(a.m, b.m));
+}
+
+/**
+ * @brief Return the max vector of two vectors.
+ *
+ * If either lane value is NaN, @c b will be returned for that lane.
+ */
+ASTCENC_SIMD_INLINE vfloat4 max(vfloat4 a, vfloat4 b)
+{
+ // Do not reorder - second operand will return if either is NaN
+ return vfloat4(_mm_max_ps(a.m, b.m));
+}
+
+/**
+ * @brief Return the absolute value of the float vector.
+ */
+ASTCENC_SIMD_INLINE vfloat4 abs(vfloat4 a)
+{
+ return vfloat4(_mm_max_ps(_mm_sub_ps(_mm_setzero_ps(), a.m), a.m));
+}
+
+/**
+ * @brief Return a float rounded to the nearest integer value.
+ */
+ASTCENC_SIMD_INLINE vfloat4 round(vfloat4 a)
+{
+#if ASTCENC_SSE >= 41
+ constexpr int flags = _MM_FROUND_TO_NEAREST_INT | _MM_FROUND_NO_EXC;
+ return vfloat4(_mm_round_ps(a.m, flags));
+#else
+ __m128 v = a.m;
+ __m128 neg_zero = _mm_castsi128_ps(_mm_set1_epi32(static_cast<int>(0x80000000)));
+ __m128 no_fraction = _mm_set1_ps(8388608.0f);
+ __m128 abs_mask = _mm_castsi128_ps(_mm_set1_epi32(0x7FFFFFFF));
+ __m128 sign = _mm_and_ps(v, neg_zero);
+ __m128 s_magic = _mm_or_ps(no_fraction, sign);
+ __m128 r1 = _mm_add_ps(v, s_magic);
+ r1 = _mm_sub_ps(r1, s_magic);
+ __m128 r2 = _mm_and_ps(v, abs_mask);
+ __m128 mask = _mm_cmple_ps(r2, no_fraction);
+ r2 = _mm_andnot_ps(mask, v);
+ r1 = _mm_and_ps(r1, mask);
+ return vfloat4(_mm_xor_ps(r1, r2));
+#endif
+}
+
+/**
+ * @brief Return the horizontal minimum of a vector.
+ */
+ASTCENC_SIMD_INLINE vfloat4 hmin(vfloat4 a)
+{
+ a = min(a, vfloat4(_mm_shuffle_ps(a.m, a.m, _MM_SHUFFLE(0, 0, 3, 2))));
+ a = min(a, vfloat4(_mm_shuffle_ps(a.m, a.m, _MM_SHUFFLE(0, 0, 0, 1))));
+ return vfloat4(_mm_shuffle_ps(a.m, a.m, _MM_SHUFFLE(0, 0, 0, 0)));
+}
+
+/**
+ * @brief Return the horizontal maximum of a vector.
+ */
+ASTCENC_SIMD_INLINE vfloat4 hmax(vfloat4 a)
+{
+ a = max(a, vfloat4(_mm_shuffle_ps(a.m, a.m, _MM_SHUFFLE(0, 0, 3, 2))));
+ a = max(a, vfloat4(_mm_shuffle_ps(a.m, a.m, _MM_SHUFFLE(0, 0, 0, 1))));
+ return vfloat4(_mm_shuffle_ps(a.m, a.m, _MM_SHUFFLE(0, 0, 0, 0)));
+}
+
+/**
+ * @brief Return the horizontal sum of a vector as a scalar.
+ */
+ASTCENC_SIMD_INLINE float hadd_s(vfloat4 a)
+{
+ // Add top and bottom halves, lane 1/0
+ __m128 t = _mm_add_ps(a.m, _mm_movehl_ps(a.m, a.m));
+
+ // Add top and bottom halves, lane 0 (_mm_hadd_ps exists but slow)
+ t = _mm_add_ss(t, _mm_shuffle_ps(t, t, 0x55));
+
+ return _mm_cvtss_f32(t);
+}
+
+/**
+ * @brief Return the sqrt of the lanes in the vector.
+ */
+ASTCENC_SIMD_INLINE vfloat4 sqrt(vfloat4 a)
+{
+ return vfloat4(_mm_sqrt_ps(a.m));
+}
+
+/**
+ * @brief Return lanes from @c b if @c cond is set, else @c a.
+ */
+ASTCENC_SIMD_INLINE vfloat4 select(vfloat4 a, vfloat4 b, vmask4 cond)
+{
+#if ASTCENC_SSE >= 41
+ return vfloat4(_mm_blendv_ps(a.m, b.m, cond.m));
+#else
+ return vfloat4(_mm_or_ps(_mm_and_ps(cond.m, b.m), _mm_andnot_ps(cond.m, a.m)));
+#endif
+}
+
+/**
+ * @brief Return lanes from @c b if MSB of @c cond is set, else @c a.
+ */
+ASTCENC_SIMD_INLINE vfloat4 select_msb(vfloat4 a, vfloat4 b, vmask4 cond)
+{
+#if ASTCENC_SSE >= 41
+ return vfloat4(_mm_blendv_ps(a.m, b.m, cond.m));
+#else
+ __m128 d = _mm_castsi128_ps(_mm_srai_epi32(_mm_castps_si128(cond.m), 31));
+ return vfloat4(_mm_or_ps(_mm_and_ps(d, b.m), _mm_andnot_ps(d, a.m)));
+#endif
+}
+
+/**
+ * @brief Load a vector of gathered results from an array;
+ */
+ASTCENC_SIMD_INLINE vfloat4 gatherf(const float* base, vint4 indices)
+{
+#if ASTCENC_AVX >= 2
+ return vfloat4(_mm_i32gather_ps(base, indices.m, 4));
+#else
+ alignas(16) int idx[4];
+ storea(indices, idx);
+ return vfloat4(base[idx[0]], base[idx[1]], base[idx[2]], base[idx[3]]);
+#endif
+}
+
+/**
+ * @brief Store a vector to an unaligned memory address.
+ */
+ASTCENC_SIMD_INLINE void store(vfloat4 a, float* p)
+{
+ _mm_storeu_ps(p, a.m);
+}
+
+/**
+ * @brief Store a vector to a 16B aligned memory address.
+ */
+ASTCENC_SIMD_INLINE void storea(vfloat4 a, float* p)
+{
+ _mm_store_ps(p, a.m);
+}
+
+/**
+ * @brief Return a integer value for a float vector, using truncation.
+ */
+ASTCENC_SIMD_INLINE vint4 float_to_int(vfloat4 a)
+{
+ return vint4(_mm_cvttps_epi32(a.m));
+}
+
+/**
+ * @brief Return a integer value for a float vector, using round-to-nearest.
+ */
+ASTCENC_SIMD_INLINE vint4 float_to_int_rtn(vfloat4 a)
+{
+ a = round(a);
+ return vint4(_mm_cvttps_epi32(a.m));
+}
+
+/**
+ * @brief Return a float value for an integer vector.
+ */
+ASTCENC_SIMD_INLINE vfloat4 int_to_float(vint4 a)
+{
+ return vfloat4(_mm_cvtepi32_ps(a.m));
+}
+
+/**
+ * @brief Return a float16 value for a float vector, using round-to-nearest.
+ */
+ASTCENC_SIMD_INLINE vint4 float_to_float16(vfloat4 a)
+{
+#if ASTCENC_F16C >= 1
+ __m128i packedf16 = _mm_cvtps_ph(a.m, 0);
+ __m128i f16 = _mm_cvtepu16_epi32(packedf16);
+ return vint4(f16);
+#else
+ return vint4(
+ float_to_sf16(a.lane<0>()),
+ float_to_sf16(a.lane<1>()),
+ float_to_sf16(a.lane<2>()),
+ float_to_sf16(a.lane<3>()));
+#endif
+}
+
+/**
+ * @brief Return a float16 value for a float scalar, using round-to-nearest.
+ */
+static inline uint16_t float_to_float16(float a)
+{
+#if ASTCENC_F16C >= 1
+ __m128i f16 = _mm_cvtps_ph(_mm_set1_ps(a), 0);
+ return static_cast<uint16_t>(_mm_cvtsi128_si32(f16));
+#else
+ return float_to_sf16(a);
+#endif
+}
+
+/**
+ * @brief Return a float value for a float16 vector.
+ */
+ASTCENC_SIMD_INLINE vfloat4 float16_to_float(vint4 a)
+{
+#if ASTCENC_F16C >= 1
+ __m128i packed = _mm_packs_epi32(a.m, a.m);
+ __m128 f32 = _mm_cvtph_ps(packed);
+ return vfloat4(f32);
+#else
+ return vfloat4(
+ sf16_to_float(static_cast<uint16_t>(a.lane<0>())),
+ sf16_to_float(static_cast<uint16_t>(a.lane<1>())),
+ sf16_to_float(static_cast<uint16_t>(a.lane<2>())),
+ sf16_to_float(static_cast<uint16_t>(a.lane<3>())));
+#endif
+}
+
+/**
+ * @brief Return a float value for a float16 scalar.
+ */
+ASTCENC_SIMD_INLINE float float16_to_float(uint16_t a)
+{
+#if ASTCENC_F16C >= 1
+ __m128i packed = _mm_set1_epi16(static_cast<short>(a));
+ __m128 f32 = _mm_cvtph_ps(packed);
+ return _mm_cvtss_f32(f32);
+#else
+ return sf16_to_float(a);
+#endif
+}
+
+/**
+ * @brief Return a float value as an integer bit pattern (i.e. no conversion).
+ *
+ * It is a common trick to convert floats into integer bit patterns, perform
+ * some bit hackery based on knowledge they are IEEE 754 layout, and then
+ * convert them back again. This is the first half of that flip.
+ */
+ASTCENC_SIMD_INLINE vint4 float_as_int(vfloat4 a)
+{
+ return vint4(_mm_castps_si128(a.m));
+}
+
+/**
+ * @brief Return a integer value as a float bit pattern (i.e. no conversion).
+ *
+ * It is a common trick to convert floats into integer bit patterns, perform
+ * some bit hackery based on knowledge they are IEEE 754 layout, and then
+ * convert them back again. This is the second half of that flip.
+ */
+ASTCENC_SIMD_INLINE vfloat4 int_as_float(vint4 v)
+{
+ return vfloat4(_mm_castsi128_ps(v.m));
+}
+
+/**
+ * @brief Prepare a vtable lookup table for use with the native SIMD size.
+ */
+ASTCENC_SIMD_INLINE void vtable_prepare(vint4 t0, vint4& t0p)
+{
+ t0p = t0;
+}
+
+/**
+ * @brief Prepare a vtable lookup table for use with the native SIMD size.
+ */
+ASTCENC_SIMD_INLINE void vtable_prepare(vint4 t0, vint4 t1, vint4& t0p, vint4& t1p)
+{
+#if ASTCENC_SSE >= 41
+ t0p = t0;
+ t1p = t0 ^ t1;
+#else
+ t0p = t0;
+ t1p = t1;
+#endif
+}
+
+/**
+ * @brief Prepare a vtable lookup table for use with the native SIMD size.
+ */
+ASTCENC_SIMD_INLINE void vtable_prepare(
+ vint4 t0, vint4 t1, vint4 t2, vint4 t3,
+ vint4& t0p, vint4& t1p, vint4& t2p, vint4& t3p)
+{
+#if ASTCENC_SSE >= 41
+ t0p = t0;
+ t1p = t0 ^ t1;
+ t2p = t1 ^ t2;
+ t3p = t2 ^ t3;
+#else
+ t0p = t0;
+ t1p = t1;
+ t2p = t2;
+ t3p = t3;
+#endif
+}
+
+/**
+ * @brief Perform an 8-bit 16-entry table lookup, with 32-bit indexes.
+ */
+ASTCENC_SIMD_INLINE vint4 vtable_8bt_32bi(vint4 t0, vint4 idx)
+{
+#if ASTCENC_SSE >= 41
+ // Set index byte MSB to 1 for unused bytes so shuffle returns zero
+ __m128i idxx = _mm_or_si128(idx.m, _mm_set1_epi32(static_cast<int>(0xFFFFFF00)));
+
+ __m128i result = _mm_shuffle_epi8(t0.m, idxx);
+ return vint4(result);
+#else
+ alignas(ASTCENC_VECALIGN) uint8_t table[16];
+ storea(t0, reinterpret_cast<int*>(table + 0));
+
+ return vint4(table[idx.lane<0>()],
+ table[idx.lane<1>()],
+ table[idx.lane<2>()],
+ table[idx.lane<3>()]);
+#endif
+}
+
+/**
+ * @brief Perform an 8-bit 32-entry table lookup, with 32-bit indexes.
+ */
+ASTCENC_SIMD_INLINE vint4 vtable_8bt_32bi(vint4 t0, vint4 t1, vint4 idx)
+{
+#if ASTCENC_SSE >= 41
+ // Set index byte MSB to 1 for unused bytes so shuffle returns zero
+ __m128i idxx = _mm_or_si128(idx.m, _mm_set1_epi32(static_cast<int>(0xFFFFFF00)));
+
+ __m128i result = _mm_shuffle_epi8(t0.m, idxx);
+ idxx = _mm_sub_epi8(idxx, _mm_set1_epi8(16));
+
+ __m128i result2 = _mm_shuffle_epi8(t1.m, idxx);
+ result = _mm_xor_si128(result, result2);
+
+ return vint4(result);
+#else
+ alignas(ASTCENC_VECALIGN) uint8_t table[32];
+ storea(t0, reinterpret_cast<int*>(table + 0));
+ storea(t1, reinterpret_cast<int*>(table + 16));
+
+ return vint4(table[idx.lane<0>()],
+ table[idx.lane<1>()],
+ table[idx.lane<2>()],
+ table[idx.lane<3>()]);
+#endif
+}
+
+/**
+ * @brief Perform an 8-bit 64-entry table lookup, with 32-bit indexes.
+ */
+ASTCENC_SIMD_INLINE vint4 vtable_8bt_32bi(vint4 t0, vint4 t1, vint4 t2, vint4 t3, vint4 idx)
+{
+#if ASTCENC_SSE >= 41
+ // Set index byte MSB to 1 for unused bytes so shuffle returns zero
+ __m128i idxx = _mm_or_si128(idx.m, _mm_set1_epi32(static_cast<int>(0xFFFFFF00)));
+
+ __m128i result = _mm_shuffle_epi8(t0.m, idxx);
+ idxx = _mm_sub_epi8(idxx, _mm_set1_epi8(16));
+
+ __m128i result2 = _mm_shuffle_epi8(t1.m, idxx);
+ result = _mm_xor_si128(result, result2);
+ idxx = _mm_sub_epi8(idxx, _mm_set1_epi8(16));
+
+ result2 = _mm_shuffle_epi8(t2.m, idxx);
+ result = _mm_xor_si128(result, result2);
+ idxx = _mm_sub_epi8(idxx, _mm_set1_epi8(16));
+
+ result2 = _mm_shuffle_epi8(t3.m, idxx);
+ result = _mm_xor_si128(result, result2);
+
+ return vint4(result);
+#else
+ alignas(ASTCENC_VECALIGN) uint8_t table[64];
+ storea(t0, reinterpret_cast<int*>(table + 0));
+ storea(t1, reinterpret_cast<int*>(table + 16));
+ storea(t2, reinterpret_cast<int*>(table + 32));
+ storea(t3, reinterpret_cast<int*>(table + 48));
+
+ return vint4(table[idx.lane<0>()],
+ table[idx.lane<1>()],
+ table[idx.lane<2>()],
+ table[idx.lane<3>()]);
+#endif
+}
+
+/**
+ * @brief Return a vector of interleaved RGBA data.
+ *
+ * Input vectors have the value stored in the bottom 8 bits of each lane,
+ * with high bits set to zero.
+ *
+ * Output vector stores a single RGBA texel packed in each lane.
+ */
+ASTCENC_SIMD_INLINE vint4 interleave_rgba8(vint4 r, vint4 g, vint4 b, vint4 a)
+{
+// Workaround an XCode compiler internal fault; note is slower than slli_epi32
+// so we should revert this when we get the opportunity
+#if defined(__APPLE__)
+ __m128i value = r.m;
+ value = _mm_add_epi32(value, _mm_bslli_si128(g.m, 1));
+ value = _mm_add_epi32(value, _mm_bslli_si128(b.m, 2));
+ value = _mm_add_epi32(value, _mm_bslli_si128(a.m, 3));
+ return vint4(value);
+#else
+ __m128i value = r.m;
+ value = _mm_add_epi32(value, _mm_slli_epi32(g.m, 8));
+ value = _mm_add_epi32(value, _mm_slli_epi32(b.m, 16));
+ value = _mm_add_epi32(value, _mm_slli_epi32(a.m, 24));
+ return vint4(value);
+#endif
+}
+
+/**
+ * @brief Store a vector, skipping masked lanes.
+ *
+ * All masked lanes must be at the end of vector, after all non-masked lanes.
+ */
+ASTCENC_SIMD_INLINE void store_lanes_masked(int* base, vint4 data, vmask4 mask)
+{
+#if ASTCENC_AVX >= 2
+ _mm_maskstore_epi32(base, _mm_castps_si128(mask.m), data.m);
+#else
+ // Note - we cannot use _mm_maskmoveu_si128 as the underlying hardware doesn't guarantee
+ // fault suppression on masked lanes so we can get page faults at the end of an image.
+ if (mask.lane<3>() != 0.0f)
+ {
+ store(data, base);
+ }
+ else if (mask.lane<2>() != 0.0f)
+ {
+ base[0] = data.lane<0>();
+ base[1] = data.lane<1>();
+ base[2] = data.lane<2>();
+ }
+ else if (mask.lane<1>() != 0.0f)
+ {
+ base[0] = data.lane<0>();
+ base[1] = data.lane<1>();
+ }
+ else if (mask.lane<0>() != 0.0f)
+ {
+ base[0] = data.lane<0>();
+ }
+#endif
+}
+
+#if defined(ASTCENC_NO_INVARIANCE) && (ASTCENC_SSE >= 41)
+
+#define ASTCENC_USE_NATIVE_DOT_PRODUCT 1
+
+/**
+ * @brief Return the dot product for the full 4 lanes, returning scalar.
+ */
+ASTCENC_SIMD_INLINE float dot_s(vfloat4 a, vfloat4 b)
+{
+ return _mm_cvtss_f32(_mm_dp_ps(a.m, b.m, 0xFF));
+}
+
+/**
+ * @brief Return the dot product for the full 4 lanes, returning vector.
+ */
+ASTCENC_SIMD_INLINE vfloat4 dot(vfloat4 a, vfloat4 b)
+{
+ return vfloat4(_mm_dp_ps(a.m, b.m, 0xFF));
+}
+
+/**
+ * @brief Return the dot product for the bottom 3 lanes, returning scalar.
+ */
+ASTCENC_SIMD_INLINE float dot3_s(vfloat4 a, vfloat4 b)
+{
+ return _mm_cvtss_f32(_mm_dp_ps(a.m, b.m, 0x77));
+}
+
+/**
+ * @brief Return the dot product for the bottom 3 lanes, returning vector.
+ */
+ASTCENC_SIMD_INLINE vfloat4 dot3(vfloat4 a, vfloat4 b)
+{
+ return vfloat4(_mm_dp_ps(a.m, b.m, 0x77));
+}
+
+#endif // #if defined(ASTCENC_NO_INVARIANCE) && (ASTCENC_SSE >= 41)
+
+#if ASTCENC_POPCNT >= 1
+
+#define ASTCENC_USE_NATIVE_POPCOUNT 1
+
+/**
+ * @brief Population bit count.
+ *
+ * @param v The value to population count.
+ *
+ * @return The number of 1 bits.
+ */
+ASTCENC_SIMD_INLINE int popcount(uint64_t v)
+{
+ return static_cast<int>(_mm_popcnt_u64(v));
+}
+
+#endif // ASTCENC_POPCNT >= 1
+
+#endif // #ifndef ASTC_VECMATHLIB_SSE_4_H_INCLUDED