Vector.hpp

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#pragma once
#include <cstring>
#include "common.hpp"
#include <common.hpp>
 
 
namespace rack {
 

namespace simd {
 

template <typename TYPE, int SIZE>
struct Vector;
 

template <>
struct Vector<float, 4> {
    using type = float;
    constexpr static int size = 4;
 
    union {
        __m128 v;
        float s[4];
    };

    Vector() = default;

    Vector(__m128 v) : v(v) {}

    Vector(float x) {
        v = _mm_set1_ps(x);
    }

    Vector(float x1, float x2, float x3, float x4) {
        v = _mm_setr_ps(x1, x2, x3, x4);
    }

    static Vector zero() {
        return Vector(_mm_setzero_ps());
    }

    static Vector mask() {
        return Vector(_mm_castsi128_ps(_mm_cmpeq_epi32(_mm_setzero_si128(), _mm_setzero_si128())));
    }

    static Vector load(const float* x) {
        /*
        My benchmarks show that _mm_loadu_ps() performs equally as fast as _mm_load_ps() when data is actually aligned.
        This post seems to agree. https://stackoverflow.com/a/20265193/272642
        I therefore use _mm_loadu_ps() for generality, so you can load unaligned arrays using the same function (although load aligned arrays if you can for best performance).
        */
        return Vector(_mm_loadu_ps(x));
    }

    void store(float* x) {
        _mm_storeu_ps(x, v);
    }

    float& operator[](int i) {
        return s[i];
    }
    const float& operator[](int i) const {
        return s[i];
    }
 
    // Conversions
    Vector(Vector<int32_t, 4> a);
    // Casts
    static Vector cast(Vector<int32_t, 4> a);
};
 
 
template <>
struct Vector<int32_t, 4> {
    using type = int32_t;
    constexpr static int size = 4;
 
    union {
        __m128i v;
        int32_t s[4];
    };
 
    Vector() = default;
    Vector(__m128i v) : v(v) {}
    Vector(int32_t x) {
        v = _mm_set1_epi32(x);
    }
    Vector(int32_t x1, int32_t x2, int32_t x3, int32_t x4) {
        v = _mm_setr_epi32(x1, x2, x3, x4);
    }
    static Vector zero() {
        return Vector(_mm_setzero_si128());
    }
    static Vector mask() {
        return Vector(_mm_cmpeq_epi32(_mm_setzero_si128(), _mm_setzero_si128()));
    }
    static Vector load(const int32_t* x) {
        // HACK
        // Use _mm_loadu_si128() because GCC doesn't support _mm_loadu_si32()
        return Vector(_mm_loadu_si128((const __m128i*) x));
    }
    void store(int32_t* x) {
        // HACK
        // Use _mm_storeu_si128() because GCC doesn't support _mm_storeu_si32()
        _mm_storeu_si128((__m128i*) x, v);
    }
    int32_t& operator[](int i) {
        return s[i];
    }
    const int32_t& operator[](int i) const {
        return s[i];
    }
    Vector(Vector<float, 4> a);
    static Vector cast(Vector<float, 4> a);
};
 
 
// Conversions and casts
 
 
inline Vector<float, 4>::Vector(Vector<int32_t, 4> a) {
    v = _mm_cvtepi32_ps(a.v);
}
 
inline Vector<int32_t, 4>::Vector(Vector<float, 4> a) {
    v = _mm_cvttps_epi32(a.v);
}
 
inline Vector<float, 4> Vector<float, 4>::cast(Vector<int32_t, 4> a) {
    return Vector(_mm_castsi128_ps(a.v));
}
 
inline Vector<int32_t, 4> Vector<int32_t, 4>::cast(Vector<float, 4> a) {
    return Vector(_mm_castps_si128(a.v));
}
 
 
// Operator overloads
 

#define DECLARE_VECTOR_OPERATOR_INFIX(t, s, operator, func) \
    inline Vector<t, s> operator(const Vector<t, s>& a, const Vector<t, s>& b) { \
        return Vector<t, s>(func(a.v, b.v)); \
    }
#define DECLARE_VECTOR_OPERATOR_INFIX(t, s, operator, func) \ …

#define DECLARE_VECTOR_OPERATOR_INCREMENT(t, s, operator, opfunc) \
    inline Vector<t, s>& operator(Vector<t, s>& a, const Vector<t, s>& b) { \
        return a = opfunc(a, b); \
    }
#define DECLARE_VECTOR_OPERATOR_INCREMENT(t, s, operator, opfunc) \ …
 
DECLARE_VECTOR_OPERATOR_INFIX(float, 4, operator+, _mm_add_ps)
DECLARE_VECTOR_OPERATOR_INFIX(int32_t, 4, operator+, _mm_add_epi32)
 
DECLARE_VECTOR_OPERATOR_INFIX(float, 4, operator-, _mm_sub_ps)
DECLARE_VECTOR_OPERATOR_INFIX(int32_t, 4, operator-, _mm_sub_epi32)
 
DECLARE_VECTOR_OPERATOR_INFIX(float, 4, operator*, _mm_mul_ps)
// DECLARE_VECTOR_OPERATOR_INFIX(int32_t, 4, operator*, NOT AVAILABLE IN SSE3)
 
DECLARE_VECTOR_OPERATOR_INFIX(float, 4, operator/, _mm_div_ps)
// DECLARE_VECTOR_OPERATOR_INFIX(int32_t, 4, operator/, NOT AVAILABLE IN SSE3)
 
/* Use these to apply logic, bit masks, and conditions to elements.
Boolean operators on vectors give 0x00000000 for false and 0xffffffff for true, for each vector element.
 
Examples:
 
Subtract 1 from value if greater than or equal to 1.
 
    x -= (x >= 1.f) & 1.f;
*/
DECLARE_VECTOR_OPERATOR_INFIX(float, 4, operator^, _mm_xor_ps)
DECLARE_VECTOR_OPERATOR_INFIX(int32_t, 4, operator^, _mm_xor_si128)
 
DECLARE_VECTOR_OPERATOR_INFIX(float, 4, operator&, _mm_and_ps)
DECLARE_VECTOR_OPERATOR_INFIX(int32_t, 4, operator&, _mm_and_si128)
 
DECLARE_VECTOR_OPERATOR_INFIX(float, 4, operator|, _mm_or_ps)
DECLARE_VECTOR_OPERATOR_INFIX(int32_t, 4, operator|, _mm_or_si128)
 
DECLARE_VECTOR_OPERATOR_INCREMENT(float, 4, operator+=, operator+)
DECLARE_VECTOR_OPERATOR_INCREMENT(int32_t, 4, operator+=, operator+)
 
DECLARE_VECTOR_OPERATOR_INCREMENT(float, 4, operator-=, operator-)
DECLARE_VECTOR_OPERATOR_INCREMENT(int32_t, 4, operator-=, operator-)
 
DECLARE_VECTOR_OPERATOR_INCREMENT(float, 4, operator*=, operator*)
// DECLARE_VECTOR_OPERATOR_INCREMENT(int32_t, 4, operator*=, NOT AVAILABLE IN SSE3)
 
DECLARE_VECTOR_OPERATOR_INCREMENT(float, 4, operator/=, operator/)
// DECLARE_VECTOR_OPERATOR_INCREMENT(int32_t, 4, operator/=, NOT AVAILABLE IN SSE3)
 
DECLARE_VECTOR_OPERATOR_INCREMENT(float, 4, operator^=, operator^)
DECLARE_VECTOR_OPERATOR_INCREMENT(int32_t, 4, operator^=, operator^)
 
DECLARE_VECTOR_OPERATOR_INCREMENT(float, 4, operator&=, operator&)
DECLARE_VECTOR_OPERATOR_INCREMENT(int32_t, 4, operator&=, operator&)
 
DECLARE_VECTOR_OPERATOR_INCREMENT(float, 4, operator|=, operator|)
DECLARE_VECTOR_OPERATOR_INCREMENT(int32_t, 4, operator|=, operator|)
 
DECLARE_VECTOR_OPERATOR_INFIX(float, 4, operator==, _mm_cmpeq_ps)
DECLARE_VECTOR_OPERATOR_INFIX(int32_t, 4, operator==, _mm_cmpeq_epi32)
 
DECLARE_VECTOR_OPERATOR_INFIX(float, 4, operator>=, _mm_cmpge_ps)
inline Vector<int32_t, 4> operator>=(const Vector<int32_t, 4>& a, const Vector<int32_t, 4>& b) {
    return Vector<int32_t, 4>(_mm_cmpgt_epi32(a.v, b.v)) ^ Vector<int32_t, 4>::mask();
}
 
DECLARE_VECTOR_OPERATOR_INFIX(float, 4, operator>, _mm_cmpgt_ps)
DECLARE_VECTOR_OPERATOR_INFIX(int32_t, 4, operator>, _mm_cmpgt_epi32)
 
DECLARE_VECTOR_OPERATOR_INFIX(float, 4, operator<=, _mm_cmple_ps)
inline Vector<int32_t, 4> operator<=(const Vector<int32_t, 4>& a, const Vector<int32_t, 4>& b) {
    return Vector<int32_t, 4>(_mm_cmplt_epi32(a.v, b.v)) ^ Vector<int32_t, 4>::mask();
}
inline Vector<int32_t, 4> operator>=(const Vector<int32_t, 4>& a, const Vector<int32_t, 4>& b) {…}
 
DECLARE_VECTOR_OPERATOR_INFIX(float, 4, operator<, _mm_cmplt_ps)
DECLARE_VECTOR_OPERATOR_INFIX(int32_t, 4, operator<, _mm_cmplt_epi32)
 
DECLARE_VECTOR_OPERATOR_INFIX(float, 4, operator!=, _mm_cmpneq_ps)
inline Vector<int32_t, 4> operator!=(const Vector<int32_t, 4>& a, const Vector<int32_t, 4>& b) {
    return Vector<int32_t, 4>(_mm_cmpeq_epi32(a.v, b.v)) ^ Vector<int32_t, 4>::mask();
}
inline Vector<int32_t, 4> operator!=(const Vector<int32_t, 4>& a, const Vector<int32_t, 4>& b) {…}

inline Vector<float, 4> operator+(const Vector<float, 4>& a) {
    return a;
}
inline Vector<float, 4> operator+(const Vector<float, 4>& a) {…}
inline Vector<int32_t, 4> operator+(const Vector<int32_t, 4>& a) {
    return a;
}
inline Vector<int32_t, 4> operator+(const Vector<int32_t, 4>& a) {…}

inline Vector<float, 4> operator-(const Vector<float, 4>& a) {
    return 0.f - a;
}
inline Vector<float, 4> operator-(const Vector<float, 4>& a) {…}
inline Vector<int32_t, 4> operator-(const Vector<int32_t, 4>& a) {
    return 0 - a;
}
inline Vector<int32_t, 4> operator-(const Vector<int32_t, 4>& a) {…}

inline Vector<float, 4>& operator++(Vector<float, 4>& a) {
    return a += 1.f;
}
inline Vector<float, 4>& operator++(Vector<float, 4>& a) {…}
inline Vector<int32_t, 4>& operator++(Vector<int32_t, 4>& a) {
    return a += 1;
}
inline Vector<int32_t, 4>& operator++(Vector<int32_t, 4>& a) {…}

inline Vector<float, 4>& operator--(Vector<float, 4>& a) {
    return a -= 1.f;
}
inline Vector<float, 4>& operator--(Vector<float, 4>& a) {…}
inline Vector<int32_t, 4>& operator--(Vector<int32_t, 4>& a) {
    return a -= 1;
}
inline Vector<int32_t, 4>& operator--(Vector<int32_t, 4>& a) {…}

inline Vector<float, 4> operator++(Vector<float, 4>& a, int) {
    Vector<float, 4> b = a;
    ++a;
    return b;
}
inline Vector<float, 4> operator++(Vector<float, 4>& a, int) {…}
inline Vector<int32_t, 4> operator++(Vector<int32_t, 4>& a, int) {
    Vector<int32_t, 4> b = a;
    ++a;
    return b;
}
inline Vector<int32_t, 4> operator++(Vector<int32_t, 4>& a, int) {…}

inline Vector<float, 4> operator--(Vector<float, 4>& a, int) {
    Vector<float, 4> b = a;
    --a;
    return b;
}
inline Vector<float, 4> operator--(Vector<float, 4>& a, int) {…}
inline Vector<int32_t, 4> operator--(Vector<int32_t, 4>& a, int) {
    Vector<int32_t, 4> b = a;
    --a;
    return b;
}
inline Vector<int32_t, 4> operator--(Vector<int32_t, 4>& a, int) {…}

inline Vector<float, 4> operator~(const Vector<float, 4>& a) {
    return a ^ Vector<float, 4>::mask();
}
inline Vector<float, 4> operator~(const Vector<float, 4>& a) {…}
inline Vector<int32_t, 4> operator~(const Vector<int32_t, 4>& a) {
    return a ^ Vector<int32_t, 4>::mask();
}

inline Vector<int32_t, 4> operator<<(const Vector<int32_t, 4>& a, const int& b) {
    return Vector<int32_t, 4>(_mm_sll_epi32(a.v, _mm_cvtsi32_si128(b)));
}
inline Vector<int32_t, 4> operator~(const Vector<int32_t, 4>& a) {…}

inline Vector<int32_t, 4> operator>>(const Vector<int32_t, 4>& a, const int& b) {
    return Vector<int32_t, 4>(_mm_srl_epi32(a.v, _mm_cvtsi32_si128(b)));
}
inline Vector<int32_t, 4> operator>>(const Vector<int32_t, 4>& a, const int& b) {…}
 
 
// Typedefs
 
 
using float_4 = Vector<float, 4>;
using int32_4 = Vector<int32_t, 4>;
 
 
} // namespace simd
} // namespace rack