#ifndef CORE_AMBIDEFS_H #define CORE_AMBIDEFS_H #include #include #include using uint = unsigned int; /* The maximum number of Ambisonics channels. For a given order (o), the size * needed will be (o+1)**2, thus zero-order has 1, first-order has 4, second- * order has 9, third-order has 16, and fourth-order has 25. */ constexpr uint8_t MaxAmbiOrder{3}; constexpr inline size_t AmbiChannelsFromOrder(size_t order) noexcept { return (order+1) * (order+1); } constexpr size_t MaxAmbiChannels{AmbiChannelsFromOrder(MaxAmbiOrder)}; /* A bitmask of ambisonic channels for 0 to 4th order. This only specifies up * to 4th order, which is the highest order a 32-bit mask value can specify (a * 64-bit mask could handle up to 7th order). */ constexpr uint Ambi0OrderMask{0x00000001}; constexpr uint Ambi1OrderMask{0x0000000f}; constexpr uint Ambi2OrderMask{0x000001ff}; constexpr uint Ambi3OrderMask{0x0000ffff}; constexpr uint Ambi4OrderMask{0x01ffffff}; /* A bitmask of ambisonic channels with height information. If none of these * channels are used/needed, there's no height (e.g. with most surround sound * speaker setups). This is ACN ordering, with bit 0 being ACN 0, etc. */ constexpr uint AmbiPeriphonicMask{0xfe7ce4}; /* The maximum number of ambisonic channels for 2D (non-periphonic) * representation. This is 2 per each order above zero-order, plus 1 for zero- * order. Or simply, o*2 + 1. */ constexpr inline size_t Ambi2DChannelsFromOrder(size_t order) noexcept { return order*2 + 1; } constexpr size_t MaxAmbi2DChannels{Ambi2DChannelsFromOrder(MaxAmbiOrder)}; /* NOTE: These are scale factors as applied to Ambisonics content. Decoder * coefficients should be divided by these values to get proper scalings. */ struct AmbiScale { static auto& FromN3D() noexcept { static constexpr const std::array ret{{ 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f }}; return ret; } static auto& FromSN3D() noexcept { static constexpr const std::array ret{{ 1.000000000f, /* ACN 0, sqrt(1) */ 1.732050808f, /* ACN 1, sqrt(3) */ 1.732050808f, /* ACN 2, sqrt(3) */ 1.732050808f, /* ACN 3, sqrt(3) */ 2.236067978f, /* ACN 4, sqrt(5) */ 2.236067978f, /* ACN 5, sqrt(5) */ 2.236067978f, /* ACN 6, sqrt(5) */ 2.236067978f, /* ACN 7, sqrt(5) */ 2.236067978f, /* ACN 8, sqrt(5) */ 2.645751311f, /* ACN 9, sqrt(7) */ 2.645751311f, /* ACN 10, sqrt(7) */ 2.645751311f, /* ACN 11, sqrt(7) */ 2.645751311f, /* ACN 12, sqrt(7) */ 2.645751311f, /* ACN 13, sqrt(7) */ 2.645751311f, /* ACN 14, sqrt(7) */ 2.645751311f, /* ACN 15, sqrt(7) */ }}; return ret; } static auto& FromFuMa() noexcept { static constexpr const std::array ret{{ 1.414213562f, /* ACN 0 (W), sqrt(2) */ 1.732050808f, /* ACN 1 (Y), sqrt(3) */ 1.732050808f, /* ACN 2 (Z), sqrt(3) */ 1.732050808f, /* ACN 3 (X), sqrt(3) */ 1.936491673f, /* ACN 4 (V), sqrt(15)/2 */ 1.936491673f, /* ACN 5 (T), sqrt(15)/2 */ 2.236067978f, /* ACN 6 (R), sqrt(5) */ 1.936491673f, /* ACN 7 (S), sqrt(15)/2 */ 1.936491673f, /* ACN 8 (U), sqrt(15)/2 */ 2.091650066f, /* ACN 9 (Q), sqrt(35/8) */ 1.972026594f, /* ACN 10 (O), sqrt(35)/3 */ 2.231093404f, /* ACN 11 (M), sqrt(224/45) */ 2.645751311f, /* ACN 12 (K), sqrt(7) */ 2.231093404f, /* ACN 13 (L), sqrt(224/45) */ 1.972026594f, /* ACN 14 (N), sqrt(35)/3 */ 2.091650066f, /* ACN 15 (P), sqrt(35/8) */ }}; return ret; } static auto& FromUHJ() noexcept { static constexpr const std::array ret{{ 1.000000000f, /* ACN 0 (W), sqrt(1) */ 1.224744916f, /* ACN 1 (Y), sqrt(3/2) */ 1.224744916f, /* ACN 2 (Z), sqrt(3/2) */ 1.224744916f, /* ACN 3 (X), sqrt(3/2) */ /* Higher orders not relevant for UHJ. */ 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, 1.0f, }}; return ret; } /* Retrieves per-order HF scaling factors for "upsampling" ambisonic data. */ static std::array GetHFOrderScales(const uint in_order, const uint out_order) noexcept; }; struct AmbiIndex { static auto& FromFuMa() noexcept { static constexpr const std::array ret{{ 0, /* W */ 3, /* X */ 1, /* Y */ 2, /* Z */ 6, /* R */ 7, /* S */ 5, /* T */ 8, /* U */ 4, /* V */ 12, /* K */ 13, /* L */ 11, /* M */ 14, /* N */ 10, /* O */ 15, /* P */ 9, /* Q */ }}; return ret; } static auto& FromFuMa2D() noexcept { static constexpr const std::array ret{{ 0, /* W */ 3, /* X */ 1, /* Y */ 8, /* U */ 4, /* V */ 15, /* P */ 9, /* Q */ }}; return ret; } static auto& FromACN() noexcept { static constexpr const std::array ret{{ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 }}; return ret; } static auto& FromACN2D() noexcept { static constexpr const std::array ret{{ 0, 1,3, 4,8, 9,15 }}; return ret; } static auto& OrderFromChannel() noexcept { static constexpr const std::array ret{{ 0, 1,1,1, 2,2,2,2,2, 3,3,3,3,3,3,3, }}; return ret; } static auto& OrderFrom2DChannel() noexcept { static constexpr const std::array ret{{ 0, 1,1, 2,2, 3,3, }}; return ret; } }; #endif /* CORE_AMBIDEFS_H */