/*

 * // Copyright (c) Radzivon Bartoshyk 8/2025. All rights reserved.

 * //

 * // Redistribution and use in source and binary forms, with or without modification,

 * // are permitted provided that the following conditions are met:

 * //

 * // 1.  Redistributions of source code must retain the above copyright notice, this

 * // list of conditions and the following disclaimer.

 * //

 * // 2.  Redistributions in binary form must reproduce the above copyright notice,

 * // this list of conditions and the following disclaimer in the documentation

 * // and/or other materials provided with the distribution.

 * //

 * // 3.  Neither the name of the copyright holder nor the names of its

 * // contributors may be used to endorse or promote products derived from

 * // this software without specific prior written permission.

 * //

 * // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"

 * // AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE

 * // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE

 * // DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE

 * // FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL

 * // DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR

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 * // CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,

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 * // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.

 */

use crate::double_double::DoubleDouble;

use crate::logs::log10td_coeffs::LOG10_NEG_TD;

use crate::pow_tables::POW_INVERSE;

use crate::triple_double::TripleDouble;

#[inline(always)]

fn log10_poly(z: f64) -> TripleDouble {

    /*

        Poly generated by Sollya:

        d = [-0.0040283203125,0.0040283203125];

        f = log10(1+x)/x;

        pf = fpminimax(f, 10, [|157...|], d, absolute, floating);

        See ./notes/td_log10.sollya

    */

    const P: [(u64, u64, u64); 11] = [

        (0xb8f29c4663277dc0, 0x3c695355baaafad3, 0x3fdbcb7b1526e50e),

        (0x38ee76408ee1b680, 0xbc595355bab3a517, 0xbfcbcb7b1526e50e),

        (0x38f58fe4d121c480, 0xbc59c8718361a853, 0x3fc287a7636f435f),

        (0xb8e80f425616e240, 0xbc49520fd0630f7e, 0xbfbbcb7b1526e50e),

        (0x38eb058acb9ab2c0, 0x3c443f5b242c637b, 0x3fb63c62775250d8),

        (0x38c32c088e8da180, 0xbc4a6666386cc60e, 0xbfb287a7636f436c),

        (0x38bb2e95bc6a3a80, 0x3c45ac4260107e46, 0x3fafc3fa615105f6),

        (0xb8e14f1e5b926690, 0x3c421ee12f4a23de, 0xbfabcb7b14ed42da),

        (0x38d4b4d370b610e0, 0x3c47e2c6f24d3d30, 0x3fa8b4df2ef1a288),

        (0x38bd632a8b3a6500, 0xbc1a922cdefb3bb1, 0xbfa63c98a8c44069),

        (0xb8c077b6551291c0, 0x3c4337142dd97816, 0x3fa4372045637cca),

    ];

    let mut t = TripleDouble::f64_mul_add(

        z,

        TripleDouble::from_bit_pair(P[9]),

        TripleDouble::from_bit_pair(P[8]),

    );

    t = TripleDouble::f64_mul_add(z, t, TripleDouble::from_bit_pair(P[7]));

    t = TripleDouble::f64_mul_add(z, t, TripleDouble::from_bit_pair(P[6]));

    t = TripleDouble::f64_mul_add(z, t, TripleDouble::from_bit_pair(P[5]));

    t = TripleDouble::f64_mul_add(z, t, TripleDouble::from_bit_pair(P[4]));

    t = TripleDouble::f64_mul_add(z, t, TripleDouble::from_bit_pair(P[3]));

    t = TripleDouble::f64_mul_add(z, t, TripleDouble::from_bit_pair(P[2]));

    t = TripleDouble::f64_mul_add(z, t, TripleDouble::from_bit_pair(P[1]));

    t = TripleDouble::f64_mul_add(z, t, TripleDouble::from_bit_pair(P[0]));

    TripleDouble::quick_mult_f64(t, z)

}

#[inline]

pub(crate) fn log10_td(x: f64) -> TripleDouble {

    let x_u = x.to_bits();

    let mut m = x_u & 0xfffffffffffff;

    let mut e: i64 = ((x_u >> 52) & 0x7ff) as i64;

    let t;

    if e != 0 {

        t = m | (0x3ffu64 << 52);

        m = m.wrapping_add(1u64 << 52);

        e -= 0x3ff;

    } else {

        /* x is a subnormal double  */

        let k = m.leading_zeros() - 11;

        e = -0x3fei64 - k as i64;

        m = m.wrapping_shl(k);

        t = m | (0x3ffu64 << 52);

    }

    /* now |x| = 2^_e*_t = 2^(_e-52)*m with 1 <= _t < 2,

    and 2^52 <= _m < 2^53 */

    //   log10(x) = log10(t) + E · log10(e)

    let mut t = f64::from_bits(t);

    // If m > sqrt(2) we divide it by 2 so ensure 1/sqrt(2) < t < sqrt(2)

    let c: usize = (m >= 0x16a09e667f3bcd) as usize;

    static CY: [f64; 2] = [1.0, 0.5];

    static CM: [u64; 2] = [44, 45];

    e = e.wrapping_add(c as i64);

    let be = e;

    let i = m >> CM[c];

    t *= CY[c];

    let r = f64::from_bits(POW_INVERSE[(i - 181) as usize]);

    let log10_r = TripleDouble::from_bit_pair(LOG10_NEG_TD[(i - 181) as usize]);

    let z = f64::mul_add(r, t, -1.0);

    const LOG10_2_DD: DoubleDouble =

        DoubleDouble::from_bit_pair((0xbc49dc1da994fd21, 0x3fd34413509f79ff));

    let v = TripleDouble::f64_mul_dd_add(be as f64, LOG10_2_DD, log10_r);

    let p = log10_poly(z);

    TripleDouble::add_f64(v.hi, TripleDouble::new(v.lo + p.lo, v.mid + p.mid, p.hi))

}

#[cfg(test)]

mod tests {

    use super::*;

    #[test]

    fn test_log10_dd() {

        assert_eq!(log10_td(10.).to_f64(), 1.);

    }

}