basisu 0.1.0

//! Baked single-precision DCT-III coefficient matrices `C[k][x]` for the
//! XUASTC weight-grid inverse DCT, one per 1D size N in 2..=12 (`IDCT_COEFFS_N`,
//! gathered in `IDCT_COEFFS`). The literals carry per-cell f32 rounding noise,
//! so they are not recomputable from a fresh derivation; structurally-zero
//! terms are stored as 0.0, exact under f32 accumulation.

// The literals are written at full f32 printed precision, which the
// excessive_precision lint would otherwise flag even though they round-trip to
// the same bits.
#![allow(clippy::excessive_precision)]

/// Size-2 DCT-III coefficients (2x2), row-major `[k][x]`.
pub static IDCT_COEFFS_2: [f32; 4] = [
    7.071067691e-01,
    7.071067691e-01,
    7.071067691e-01,
    -7.071067691e-01,
];

/// Size-3 DCT-III coefficients (3x3), row-major `[k][x]`.
pub static IDCT_COEFFS_3: [f32; 9] = [
    5.773502588e-01,
    5.773502588e-01,
    5.773502588e-01,
    7.071067691e-01,
    0.0,
    -7.071068883e-01,
    4.082482755e-01,
    -8.164966106e-01,
    4.082486033e-01,
];

/// Size-4 DCT-III coefficients (4x4), row-major `[k][x]`.
pub static IDCT_COEFFS_4: [f32; 16] = [
    5.000000000e-01,
    5.000000000e-01,
    5.000000000e-01,
    5.000000000e-01,
    6.532814503e-01,
    2.705980539e-01,
    -2.705981135e-01,
    -6.532815099e-01,
    4.999999702e-01,
    -4.999999702e-01,
    -4.999999106e-01,
    5.000001788e-01,
    2.705980539e-01,
    -6.532814503e-01,
    6.532815099e-01,
    -2.705983818e-01,
];

/// Size-5 DCT-III coefficients (5x5), row-major `[k][x]`.
pub static IDCT_COEFFS_5: [f32; 25] = [
    4.472135901e-01,
    4.472135901e-01,
    4.472135901e-01,
    4.472135901e-01,
    4.472135901e-01,
    6.015009880e-01,
    3.717480302e-01,
    0.0,
    -3.717481494e-01,
    -6.015009284e-01,
    5.116672516e-01,
    -1.954395324e-01,
    -6.324555278e-01,
    -1.954392791e-01,
    5.116672516e-01,
    3.717480302e-01,
    -6.015009284e-01,
    0.0,
    6.015008688e-01,
    -3.717483282e-01,
    1.954394877e-01,
    -5.116672516e-01,
    6.324555278e-01,
    -5.116675496e-01,
    1.954394132e-01,
];

/// Size-6 DCT-III coefficients (6x6), row-major `[k][x]`.
pub static IDCT_COEFFS_6: [f32; 36] = [
    4.082483053e-01,
    4.082483053e-01,
    4.082483053e-01,
    4.082483053e-01,
    4.082483053e-01,
    4.082483053e-01,
    5.576775074e-01,
    4.082482755e-01,
    1.494291872e-01,
    -1.494293064e-01,
    -4.082482755e-01,
    -5.576775670e-01,
    4.999999702e-01,
    0.0,
    -5.000000596e-01,
    -4.999999106e-01,
    0.0,
    5.000000596e-01,
    4.082482755e-01,
    -4.082482755e-01,
    -4.082483053e-01,
    4.082484245e-01,
    4.082480669e-01,
    -4.082485437e-01,
    2.886750996e-01,
    -5.773502588e-01,
    2.886753380e-01,
    2.886748910e-01,
    -5.773502588e-01,
    2.886753976e-01,
    1.494291872e-01,
    -4.082483053e-01,
    5.576775074e-01,
    -5.576776266e-01,
    4.082483053e-01,
    -1.494295001e-01,
];

/// Size-7 DCT-III coefficients (7x7), row-major `[k][x]`.
pub static IDCT_COEFFS_7: [f32; 49] = [
    3.779644668e-01,
    3.779644668e-01,
    3.779644668e-01,
    3.779644668e-01,
    3.779644668e-01,
    3.779644668e-01,
    3.779644668e-01,
    5.211208463e-01,
    4.179065228e-01,
    2.319205552e-01,
    0.0,
    -2.319206595e-01,
    -4.179066122e-01,
    -5.211208463e-01,
    4.815880954e-01,
    1.189424619e-01,
    -3.332694173e-01,
    -5.345224738e-01,
    -3.332692087e-01,
    1.189427450e-01,
    4.815880954e-01,
    4.179065228e-01,
    -2.319206595e-01,
    -5.211208463e-01,
    0.0,
    5.211208463e-01,
    2.319205403e-01,
    -4.179067314e-01,
    3.332692981e-01,
    -4.815880954e-01,
    -1.189422309e-01,
    5.345224738e-01,
    -1.189426631e-01,
    -4.815878570e-01,
    3.332692981e-01,
    2.319205552e-01,
    -5.211208463e-01,
    4.179064631e-01,
    0.0,
    -4.179064035e-01,
    5.211209059e-01,
    -2.319207191e-01,
    1.189424619e-01,
    -3.332692087e-01,
    4.815881252e-01,
    -5.345224738e-01,
    4.815881550e-01,
    -3.332694471e-01,
    1.189431697e-01,
];

/// Size-8 DCT-III coefficients (8x8), row-major `[k][x]`.
pub static IDCT_COEFFS_8: [f32; 64] = [
    3.535533845e-01,
    3.535533845e-01,
    3.535533845e-01,
    3.535533845e-01,
    3.535533845e-01,
    3.535533845e-01,
    3.535533845e-01,
    3.535533845e-01,
    4.903926253e-01,
    4.157347977e-01,
    2.777850926e-01,
    9.754511714e-02,
    -9.754516184e-02,
    -2.777851820e-01,
    -4.157348275e-01,
    -4.903926551e-01,
    4.619397521e-01,
    1.913417131e-01,
    -1.913417578e-01,
    -4.619398117e-01,
    -4.619397521e-01,
    -1.913415641e-01,
    1.913418025e-01,
    4.619397819e-01,
    4.157347977e-01,
    -9.754516184e-02,
    -4.903926551e-01,
    -2.777850032e-01,
    2.777852118e-01,
    4.903926253e-01,
    9.754503518e-02,
    -4.157348871e-01,
    3.535533845e-01,
    -3.535533845e-01,
    -3.535533249e-01,
    3.535535038e-01,
    3.535533845e-01,
    -3.535536230e-01,
    -3.535532653e-01,
    3.535534143e-01,
    2.777850926e-01,
    -4.903926551e-01,
    9.754520655e-02,
    4.157346785e-01,
    -4.157348871e-01,
    -9.754510969e-02,
    4.903926551e-01,
    -2.777854204e-01,
    1.913417131e-01,
    -4.619397521e-01,
    4.619397819e-01,
    -1.913419515e-01,
    -1.913414896e-01,
    4.619396627e-01,
    -4.619398713e-01,
    1.913419515e-01,
    9.754511714e-02,
    -2.777850032e-01,
    4.157346785e-01,
    -4.903925955e-01,
    4.903927147e-01,
    -4.157347977e-01,
    2.777855694e-01,
    -9.754577279e-02,
];

/// Size-9 DCT-III coefficients (9x9), row-major `[k][x]`.
pub static IDCT_COEFFS_9: [f32; 81] = [
    3.333333433e-01,
    3.333333433e-01,
    3.333333433e-01,
    3.333333433e-01,
    3.333333433e-01,
    3.333333433e-01,
    3.333333433e-01,
    3.333333433e-01,
    3.333333433e-01,
    4.642428160e-01,
    4.082482755e-01,
    3.030129671e-01,
    1.612297893e-01,
    0.0,
    -1.612298936e-01,
    -3.030129969e-01,
    -4.082482755e-01,
    -4.642428458e-01,
    4.429753423e-01,
    2.357022464e-01,
    -8.185859025e-02,
    -3.611168861e-01,
    -4.714045227e-01,
    -3.611167669e-01,
    -8.185851574e-02,
    2.357022166e-01,
    4.429753721e-01,
    4.082482755e-01,
    0.0,
    -4.082482755e-01,
    -4.082482159e-01,
    0.0,
    4.082483649e-01,
    4.082482755e-01,
    0.0,
    -4.082485437e-01,
    3.611168265e-01,
    -2.357022911e-01,
    -4.429753125e-01,
    8.185874671e-02,
    4.714045227e-01,
    8.185835928e-02,
    -4.429753721e-01,
    -2.357023507e-01,
    3.611169457e-01,
    3.030129671e-01,
    -4.082482755e-01,
    -1.612298042e-01,
    4.642428458e-01,
    0.0,
    -4.642428160e-01,
    1.612296849e-01,
    4.082482159e-01,
    -3.030129373e-01,
    2.357022464e-01,
    -4.714045227e-01,
    2.357022166e-01,
    2.357020825e-01,
    -4.714045227e-01,
    2.357024848e-01,
    2.357022017e-01,
    -4.714045227e-01,
    2.357031256e-01,
    1.612297893e-01,
    -4.082482159e-01,
    4.642428458e-01,
    -3.030130565e-01,
    0.0,
    3.030129075e-01,
    -4.642427862e-01,
    4.082485735e-01,
    -1.612301171e-01,
    8.185850084e-02,
    -2.357022166e-01,
    3.611166775e-01,
    -4.429752231e-01,
    4.714045227e-01,
    -4.429754615e-01,
    3.611168563e-01,
    -2.357021123e-01,
    8.185899258e-02,
];

/// Size-10 DCT-III coefficients (10x10), row-major `[k][x]`.
pub static IDCT_COEFFS_10: [f32; 100] = [
    3.162277639e-01,
    3.162277639e-01,
    3.162277639e-01,
    3.162277639e-01,
    3.162277639e-01,
    3.162277639e-01,
    3.162277639e-01,
    3.162277639e-01,
    3.162277639e-01,
    3.162277639e-01,
    4.417076707e-01,
    3.984702229e-01,
    3.162277639e-01,
    2.030306906e-01,
    6.995963305e-02,
    -6.995966285e-02,
    -2.030307651e-01,
    -3.162277639e-01,
    -3.984702528e-01,
    -4.417076707e-01,
    4.253254235e-01,
    2.628655434e-01,
    0.0,
    -2.628656328e-01,
    -4.253253937e-01,
    -4.253253639e-01,
    -2.628654838e-01,
    0.0,
    2.628656626e-01,
    4.253254235e-01,
    3.984702229e-01,
    6.995963305e-02,
    -3.162277639e-01,
    -4.417076409e-01,
    -2.030306011e-01,
    2.030307949e-01,
    4.417076707e-01,
    3.162277639e-01,
    -6.995979697e-02,
    -3.984701931e-01,
    3.618034124e-01,
    -1.381966174e-01,
    -4.472135901e-01,
    -1.381964386e-01,
    3.618033826e-01,
    3.618032932e-01,
    -1.381967962e-01,
    -4.472135901e-01,
    -1.381963789e-01,
    3.618034124e-01,
    3.162277639e-01,
    -3.162277639e-01,
    -3.162277043e-01,
    3.162278533e-01,
    3.162277639e-01,
    -3.162276745e-01,
    -3.162276447e-01,
    3.162280619e-01,
    3.162278533e-01,
    -3.162281811e-01,
    2.628655434e-01,
    -4.253253937e-01,
    0.0,
    4.253253639e-01,
    -2.628657520e-01,
    -2.628654242e-01,
    4.253254235e-01,
    0.0,
    -4.253252745e-01,
    2.628654540e-01,
    2.030306906e-01,
    -4.417076409e-01,
    3.162278533e-01,
    6.995949894e-02,
    -3.984701633e-01,
    3.984702528e-01,
    -6.996008009e-02,
    -3.162274361e-01,
    4.417077899e-01,
    -2.030310780e-01,
    1.381965876e-01,
    -3.618033826e-01,
    4.472135901e-01,
    -3.618035913e-01,
    1.381965429e-01,
    1.381962299e-01,
    -3.618031442e-01,
    4.472135901e-01,
    -3.618036509e-01,
    1.381966770e-01,
    6.995963305e-02,
    -2.030306011e-01,
    3.162277639e-01,
    -3.984701633e-01,
    4.417076409e-01,
    -4.417076409e-01,
    3.984701931e-01,
    -3.162280619e-01,
    2.030308247e-01,
    -6.995939463e-02,
];

/// Size-11 DCT-III coefficients (11x11), row-major `[k][x]`.
pub static IDCT_COEFFS_11: [f32; 121] = [
    3.015113473e-01,
    3.015113473e-01,
    3.015113473e-01,
    3.015113473e-01,
    3.015113473e-01,
    3.015113473e-01,
    3.015113473e-01,
    3.015113473e-01,
    3.015113473e-01,
    3.015113473e-01,
    3.015113473e-01,
    4.220612943e-01,
    3.878683746e-01,
    3.222526908e-01,
    2.305300087e-01,
    1.201311573e-01,
    0.0,
    -1.201311946e-01,
    -2.305300087e-01,
    -3.222527206e-01,
    -3.878683746e-01,
    -4.220612943e-01,
    4.091291726e-01,
    2.792335451e-01,
    6.068321317e-02,
    -1.771336049e-01,
    -3.587117195e-01,
    -4.264014363e-01,
    -3.587116897e-01,
    -1.771335900e-01,
    6.068333238e-02,
    2.792335451e-01,
    4.091292024e-01,
    3.878683746e-01,
    1.201311573e-01,
    -2.305300087e-01,
    -4.220612943e-01,
    -3.222526908e-01,
    0.0,
    3.222527504e-01,
    4.220612645e-01,
    2.305298299e-01,
    -1.201310679e-01,
    -3.878685534e-01,
    3.587117195e-01,
    -6.068325043e-02,
    -4.091292024e-01,
    -2.792334855e-01,
    1.771336049e-01,
    4.264014363e-01,
    1.771334559e-01,
    -2.792335153e-01,
    -4.091291428e-01,
    -6.068325043e-02,
    3.587118387e-01,
    3.222526908e-01,
    -2.305300087e-01,
    -3.878683448e-01,
    1.201313213e-01,
    4.220612645e-01,
    0.0,
    -4.220612943e-01,
    -1.201310530e-01,
    3.878682852e-01,
    2.305295914e-01,
    -3.222530484e-01,
    2.792335451e-01,
    -3.587117195e-01,
    -1.771335900e-01,
    4.091292024e-01,
    6.068318710e-02,
    -4.264014363e-01,
    6.068341061e-02,
    4.091290832e-01,
    -1.771339774e-01,
    -3.587118387e-01,
    2.792341411e-01,
    2.305300087e-01,
    -4.220612943e-01,
    1.201313213e-01,
    3.222525418e-01,
    -3.878685534e-01,
    0.0,
    3.878683150e-01,
    -3.222530484e-01,
    -1.201303899e-01,
    4.220611751e-01,
    -2.305305302e-01,
    1.771335304e-01,
    -4.091291726e-01,
    3.587118089e-01,
    -6.068347394e-02,
    -2.792334855e-01,
    4.264014363e-01,
    -2.792337239e-01,
    -6.068337709e-02,
    3.587115407e-01,
    -4.091291726e-01,
    1.771339774e-01,
    1.201311573e-01,
    -3.222526908e-01,
    4.220612645e-01,
    -3.878685534e-01,
    2.305301726e-01,
    0.0,
    -2.305298299e-01,
    3.878681958e-01,
    -4.220613837e-01,
    3.222527504e-01,
    -1.201314703e-01,
    6.068321317e-02,
    -1.771335900e-01,
    2.792334557e-01,
    -3.587115407e-01,
    4.091290832e-01,
    -4.264014363e-01,
    4.091292620e-01,
    -3.587118387e-01,
    2.792330980e-01,
    -1.771344692e-01,
    6.068423390e-02,
];

/// Size-12 DCT-III coefficients (12x12), row-major `[k][x]`.
pub static IDCT_COEFFS_12: [f32; 144] = [
    2.886751294e-01,
    2.886751294e-01,
    2.886751294e-01,
    2.886751294e-01,
    2.886751294e-01,
    2.886751294e-01,
    2.886751294e-01,
    2.886751294e-01,
    2.886751294e-01,
    2.886751294e-01,
    2.886751294e-01,
    2.886751294e-01,
    4.047556818e-01,
    3.771722317e-01,
    3.238851428e-01,
    2.485257983e-01,
    1.562298536e-01,
    5.328707024e-02,
    -5.328710750e-02,
    -1.562298536e-01,
    -2.485258281e-01,
    -3.238851428e-01,
    -3.771722913e-01,
    -4.047556818e-01,
    3.943375647e-01,
    2.886751294e-01,
    1.056623980e-01,
    -1.056624874e-01,
    -2.886751294e-01,
    -3.943375945e-01,
    -3.943375647e-01,
    -2.886751592e-01,
    -1.056624129e-01,
    1.056624204e-01,
    2.886752486e-01,
    3.943375647e-01,
    3.771722317e-01,
    1.562298536e-01,
    -1.562298536e-01,
    -3.771722913e-01,
    -3.771722317e-01,
    -1.562297344e-01,
    1.562299281e-01,
    3.771722615e-01,
    3.771722019e-01,
    1.562297940e-01,
    -1.562300622e-01,
    -3.771722317e-01,
    3.535533845e-01,
    0.0,
    -3.535534441e-01,
    -3.535533547e-01,
    0.0,
    3.535534739e-01,
    3.535533845e-01,
    0.0,
    -3.535534143e-01,
    -3.535534143e-01,
    0.0,
    3.535532951e-01,
    3.238851428e-01,
    -1.562298536e-01,
    -4.047556818e-01,
    -5.328698456e-02,
    3.771722615e-01,
    2.485257536e-01,
    -2.485258281e-01,
    -3.771722317e-01,
    5.328687653e-02,
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    1.562305540e-01,
    -5.328702182e-02,
];

/// Coefficient matrix per DCT size N (index N - 2), row-major [k][x].
pub static IDCT_COEFFS: [&[f32]; 11] = [
    &IDCT_COEFFS_2,
    &IDCT_COEFFS_3,
    &IDCT_COEFFS_4,
    &IDCT_COEFFS_5,
    &IDCT_COEFFS_6,
    &IDCT_COEFFS_7,
    &IDCT_COEFFS_8,
    &IDCT_COEFFS_9,
    &IDCT_COEFFS_10,
    &IDCT_COEFFS_11,
    &IDCT_COEFFS_12,
];