fixed_analytics 2.0.1

Fixed-point mathematical functions. Accurate, deterministic, and panic free.
Documentation 
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//! Arctangent table for circular CORDIC. Values: `atan(2^-i)` as I1F63.
//!
//! Gain factor K = ∏ sqrt(1 + 2^(-2i)) ≈ 1.6468. We store 1/K ≈ 0.6073.
//! For i ≥ 21, atan(x) ≈ x to I1F63 precision.

/// `atan(2^-i)` as I1F63. Index 0 = atan(1) = π/4.
#[rustfmt::skip]
pub const ATAN_TABLE: [i64; 64] = [
    0x6487_ED51_10B4_611A,  // atan(2^0) = π/4
    0x3B58_CE0A_C376_9ED1,  // atan(2^-1)
    0x1F5B_75F9_2C80_DD63,  // atan(2^-2)
    0x0FEA_DD4D_5617_B6E3,  // atan(2^-3)
    0x07FD_56ED_CB3F_7A72,  // atan(2^-4)
    0x03FF_AAB7_752E_C495,  // atan(2^-5)
    0x01FF_F555_BBB7_29AB,  // atan(2^-6)
    0x00FF_FEAA_ADDD_D4B9,  // atan(2^-7)
    0x007F_FFD5_556E_EEDD,  // atan(2^-8)
    0x003F_FFFA_AAAB_7777,  // atan(2^-9)
    0x001F_FFFF_5555_5BBC,  // atan(2^-10)
    0x000F_FFFF_EAAA_AADE,  // atan(2^-11)
    0x0007_FFFF_FD55_5557,  // atan(2^-12)
    0x0003_FFFF_FFAA_AAAB,  // atan(2^-13)
    0x0001_FFFF_FFF5_5555,  // atan(2^-14)
    0x0000_FFFF_FFFE_AAAB,  // atan(2^-15)
    0x0000_7FFF_FFFF_D555,  // atan(2^-16)
    0x0000_3FFF_FFFF_FAAB,  // atan(2^-17)
    0x0000_1FFF_FFFF_FF55,  // atan(2^-18)
    0x0000_0FFF_FFFF_FFEB,  // atan(2^-19)
    0x0000_07FF_FFFF_FFFD,  // atan(2^-20)
    // For i >= 21: atan(2^-i) ≈ 2^-i to I1F63 precision
    0x0000_0400_0000_0000,
    0x0000_0200_0000_0000,
    0x0000_0100_0000_0000,
    0x0000_0080_0000_0000,
    0x0000_0040_0000_0000,
    0x0000_0020_0000_0000,
    0x0000_0010_0000_0000,
    0x0000_0008_0000_0000,
    0x0000_0004_0000_0000,
    0x0000_0002_0000_0000,
    0x0000_0001_0000_0000,
    0x0000_0000_8000_0000,
    0x0000_0000_4000_0000,
    0x0000_0000_2000_0000,
    0x0000_0000_1000_0000,
    0x0000_0000_0800_0000,
    0x0000_0000_0400_0000,
    0x0000_0000_0200_0000,
    0x0000_0000_0100_0000,
    0x0000_0000_0080_0000,
    0x0000_0000_0040_0000,
    0x0000_0000_0020_0000,
    0x0000_0000_0010_0000,
    0x0000_0000_0008_0000,
    0x0000_0000_0004_0000,
    0x0000_0000_0002_0000,
    0x0000_0000_0001_0000,
    0x0000_0000_0000_8000,
    0x0000_0000_0000_4000,
    0x0000_0000_0000_2000,
    0x0000_0000_0000_1000,
    0x0000_0000_0000_0800,
    0x0000_0000_0000_0400,
    0x0000_0000_0000_0200,
    0x0000_0000_0000_0100,
    0x0000_0000_0000_0080,
    0x0000_0000_0000_0040,
    0x0000_0000_0000_0020,
    0x0000_0000_0000_0010,
    0x0000_0000_0000_0008,
    0x0000_0000_0000_0004,
    0x0000_0000_0000_0002,
    0x0000_0000_0000_0001,
];