malachite-base 0.4.16

// Copyright © 2024 Mikhail Hogrefe
//
// This file is part of Malachite.
//
// Malachite is free software: you can redistribute it and/or modify it under the terms of the GNU
// Lesser General Public License (LGPL) as published by the Free Software Foundation; either version
// 3 of the License, or (at your option) any later version. See <https://www.gnu.org/licenses/>.

use malachite_base::num::arithmetic::traits::{FloorLogBase, UnsignedAbs};
use malachite_base::num::basic::integers::PrimitiveInt;
use malachite_base::num::basic::signeds::PrimitiveSigned;
use malachite_base::num::basic::unsigneds::PrimitiveUnsigned;
use malachite_base::num::conversion::string::options::{
    FromSciStringOptions, SciSizeOptions, ToSciOptions,
};
use malachite_base::rounding_modes::RoundingMode::*;
use malachite_base::strings::string_is_subset;
use malachite_base::test_util::generators::{
    signed_gen, signed_to_sci_options_pair_gen_var_1, unsigned_gen,
    unsigned_to_sci_options_pair_gen_var_1,
};
use malachite_base::test_util::num::conversion::string::from_sci_string::DECIMAL_SCI_STRING_CHARS;
use std::collections::HashMap;
use std::panic::catch_unwind;

#[test]
pub fn test_to_sci() {
    fn test<T: PrimitiveInt>(x: T, out: &str) {
        assert_eq!(x.to_sci().to_string(), out);
        assert_eq!(
            x.to_sci_with_options(ToSciOptions::default()).to_string(),
            out
        );
    }
    test::<u8>(0, "0");
    test::<u8>(1, "1");
    test::<u8>(10, "10");
    test::<u8>(100, "100");
    test::<u16>(1000, "1000");
    test::<u16>(10000, "10000");
    test::<u32>(100000, "100000");
    test::<u32>(1000000, "1000000");
    test::<u32>(10000000, "10000000");
    test::<u32>(100000000, "100000000");
    test::<u32>(1000000000, "1000000000");
    test::<u64>(10000000000, "10000000000");
    test::<u64>(100000000000, "100000000000");
    test::<u64>(1000000000000, "1000000000000");
    test::<u64>(10000000000000, "10000000000000");
    test::<u64>(100000000000000, "100000000000000");
    test::<u64>(1000000000000000, "1000000000000000");
    test::<u64>(10000000000000000, "1e16");
    test::<u64>(100000000000000000, "1e17");
    test::<u64>(u64::MAX, "1.844674407370955e19");
    test::<u128>(u128::MAX, "3.402823669209385e38");

    test::<u64>(999999999999999, "999999999999999");
    test::<u64>(9999999999999999, "9999999999999999");
    test::<u64>(99999999999999999, "1e17");
    test::<u64>(999999999999999999, "1e18");

    test::<i8>(0, "0");
    test::<i8>(1, "1");
    test::<i8>(10, "10");
    test::<i8>(100, "100");
    test::<i16>(1000, "1000");
    test::<i16>(10000, "10000");
    test::<i32>(100000, "100000");
    test::<i32>(1000000, "1000000");
    test::<i32>(10000000, "10000000");
    test::<i32>(100000000, "100000000");
    test::<i32>(1000000000, "1000000000");
    test::<i64>(10000000000, "10000000000");
    test::<i64>(100000000000, "100000000000");
    test::<i64>(1000000000000, "1000000000000");
    test::<i64>(10000000000000, "10000000000000");
    test::<i64>(100000000000000, "100000000000000");
    test::<i64>(1000000000000000, "1000000000000000");
    test::<i64>(10000000000000000, "1e16");
    test::<i64>(100000000000000000, "1e17");
    test::<i64>(i64::MAX, "9.223372036854776e18");
    test::<i128>(i128::MAX, "1.701411834604692e38");
    test::<i8>(-1, "-1");
    test::<i8>(-10, "-10");
    test::<i8>(-100, "-100");
    test::<i16>(-1000, "-1000");
    test::<i16>(-10000, "-10000");
    test::<i32>(-100000, "-100000");
    test::<i32>(-1000000, "-1000000");
    test::<i32>(-10000000, "-10000000");
    test::<i32>(-100000000, "-100000000");
    test::<i32>(-1000000000, "-1000000000");
    test::<i64>(-10000000000, "-10000000000");
    test::<i64>(-100000000000, "-100000000000");
    test::<i64>(-1000000000000, "-1000000000000");
    test::<i64>(-10000000000000, "-10000000000000");
    test::<i64>(-100000000000000, "-100000000000000");
    test::<i64>(-1000000000000000, "-1000000000000000");
    test::<i64>(-10000000000000000, "-1e16");
    test::<i64>(-100000000000000000, "-1e17");
    test::<i64>(i64::MIN, "-9.223372036854776e18");
    test::<i128>(i128::MIN, "-1.701411834604692e38");

    test::<i64>(999999999999999, "999999999999999");
    test::<i64>(9999999999999999, "9999999999999999");
    test::<i64>(99999999999999999, "1e17");
    test::<i64>(999999999999999999, "1e18");
}

#[test]
pub fn test_to_sci_with_options() {
    fn test<T: PrimitiveInt>(x: T, options: ToSciOptions, out: &str) {
        assert_eq!(x.to_sci_with_options(options).to_string(), out);
    }
    // For tests with the default options, see `test_to_sci`

    let mut options = ToSciOptions::default();
    options.set_include_trailing_zeros(true);
    test::<u8>(0, options, "0.000000000000000");
    test::<u8>(1, options, "1.000000000000000");
    test::<u8>(10, options, "10.00000000000000");
    test::<u8>(100, options, "100.0000000000000");
    test::<u16>(1000, options, "1000.000000000000");
    test::<u16>(10000, options, "10000.00000000000");
    test::<u32>(100000, options, "100000.0000000000");
    test::<u32>(1000000, options, "1000000.000000000");
    test::<u32>(10000000, options, "10000000.00000000");
    test::<u32>(100000000, options, "100000000.0000000");
    test::<u32>(1000000000, options, "1000000000.000000");
    test::<u64>(10000000000, options, "10000000000.00000");
    test::<u64>(100000000000, options, "100000000000.0000");
    test::<u64>(1000000000000, options, "1000000000000.000");
    test::<u64>(10000000000000, options, "10000000000000.00");
    test::<u64>(100000000000000, options, "100000000000000.0");
    test::<u64>(1000000000000000, options, "1000000000000000");
    test::<u64>(10000000000000000, options, "1.000000000000000e16");
    test::<u64>(100000000000000000, options, "1.000000000000000e17");
    test::<u64>(u64::MAX, options, "1.844674407370955e19");
    test::<u128>(u128::MAX, options, "3.402823669209385e38");

    test::<u64>(999999999999999, options, "999999999999999.0");
    test::<u64>(9999999999999999, options, "9999999999999999");
    test::<u64>(99999999999999999, options, "1.000000000000000e17");
    test::<u64>(999999999999999999, options, "1.000000000000000e18");

    options = ToSciOptions::default();
    options.set_base(2);
    test::<u128>(u128::MAX, options, "1e128");
    options.set_base(3);
    test::<u128>(u128::MAX, options, "2.022011021210021e80");
    options.set_base(4);
    test::<u128>(u128::MAX, options, "1e64");
    options.set_base(5);
    test::<u128>(u128::MAX, options, "1.103111044120131e55");
    options.set_base(8);
    test::<u128>(u128::MAX, options, "4e42");
    // When base >= 15, there is a mandatory sign after the exponent indicator "e", to distinguish
    // it from the digit "e"
    options.set_base(16);
    test::<u128>(u128::MAX, options, "1e+32");
    options.set_base(32);
    test::<u128>(u128::MAX, options, "8e+25");
    options.set_base(36);
    test::<u128>(u128::MAX, options, "f.5lxx1zz5pnorynqe+24");

    // The sign can be forced in other cases too
    options.set_base(3);
    options.set_force_exponent_plus_sign(true);
    test::<u128>(u128::MAX, options, "2.022011021210021e+80");

    // The digits can be uppercase, and so can the exponent indicator
    options = ToSciOptions::default();
    options.set_base(36);
    options.set_uppercase();
    test::<u128>(u128::MAX, options, "F.5LXX1ZZ5PNORYNQe+24");

    options.set_lowercase();
    options.set_e_uppercase();
    test::<u128>(u128::MAX, options, "f.5lxx1zz5pnorynqE+24");

    options.set_uppercase();
    test::<u128>(u128::MAX, options, "F.5LXX1ZZ5PNORYNQE+24");

    options = ToSciOptions::default();
    options.set_size_complete();
    options.set_base(2);
    test::<u128>(
        u128::MAX,
        options,
        "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111\
        111111111111111111111111111111111111111",
    );
    options.set_base(3);
    test::<u128>(
        u128::MAX,
        options,
        "202201102121002021012000211012011021221022212021111001022110211020010021100121010",
    );
    options.set_base(4);
    test::<u128>(
        u128::MAX,
        options,
        "3333333333333333333333333333333333333333333333333333333333333333",
    );
    options.set_base(5);
    test::<u128>(
        u128::MAX,
        options,
        "11031110441201303134210404233413032443021130230130231310",
    );
    options.set_base(8);
    test::<u128>(
        u128::MAX,
        options,
        "3777777777777777777777777777777777777777777",
    );
    options.set_base(16);
    test::<u128>(u128::MAX, options, "ffffffffffffffffffffffffffffffff");
    options.set_base(32);
    test::<u128>(u128::MAX, options, "7vvvvvvvvvvvvvvvvvvvvvvvvv");
    options.set_base(36);
    test::<u128>(u128::MAX, options, "f5lxx1zz5pnorynqglhzmsp33");

    options = ToSciOptions::default();
    options.set_precision(4);
    options.set_include_trailing_zeros(true);
    test::<u8>(0, options, "0.000");
    test::<u8>(1, options, "1.000");
    test::<u8>(10, options, "10.00");
    test::<u8>(100, options, "100.0");
    test::<u16>(1000, options, "1000");
    test::<u16>(10000, options, "1.000e4");
    test::<u8>(9, options, "9.000");
    test::<u8>(99, options, "99.00");
    test::<u16>(999, options, "999.0");
    test::<u16>(9999, options, "9999");
    test::<u32>(99999, options, "1.000e5");

    options.set_include_trailing_zeros(false);
    test::<u8>(0, options, "0");
    test::<u8>(1, options, "1");
    test::<u8>(10, options, "10");
    test::<u8>(100, options, "100");
    test::<u16>(1000, options, "1000");
    test::<u16>(10000, options, "1e4");
    test::<u8>(9, options, "9");
    test::<u8>(99, options, "99");
    test::<u16>(999, options, "999");
    test::<u16>(9999, options, "9999");
    test::<u32>(99999, options, "1e5");

    options = ToSciOptions::default();
    options.set_precision(1);
    options.set_include_trailing_zeros(true); // doesn't matter when precision is 1
    test::<u8>(0, options, "0");
    test::<u8>(1, options, "1");
    test::<u8>(10, options, "1e1");
    test::<u8>(100, options, "1e2");
    test::<u16>(1000, options, "1e3");
    test::<u16>(10000, options, "1e4");
    test::<u8>(9, options, "9");
    test::<u8>(99, options, "1e2");
    test::<u16>(999, options, "1e3");
    test::<u16>(9999, options, "1e4");
    test::<u32>(99999, options, "1e5");

    options.set_include_trailing_zeros(false);
    test::<u8>(0, options, "0");
    test::<u8>(1, options, "1");
    test::<u8>(10, options, "1e1");
    test::<u8>(100, options, "1e2");
    test::<u16>(1000, options, "1e3");
    test::<u16>(10000, options, "1e4");
    test::<u8>(9, options, "9");
    test::<u8>(99, options, "1e2");
    test::<u16>(999, options, "1e3");
    test::<u16>(9999, options, "1e4");
    test::<u32>(99999, options, "1e5");

    options = ToSciOptions::default();
    options.set_scale(2);
    options.set_include_trailing_zeros(true);
    test::<u8>(0, options, "0.00");
    test::<u8>(1, options, "1.00");
    test::<u8>(10, options, "10.00");
    test::<u8>(100, options, "100.00");
    test::<u16>(1000, options, "1000.00");
    test::<u16>(10000, options, "10000.00");
    test::<u8>(9, options, "9.00");
    test::<u8>(99, options, "99.00");
    test::<u16>(999, options, "999.00");
    test::<u16>(9999, options, "9999.00");
    test::<u32>(99999, options, "99999.00");

    options.set_include_trailing_zeros(false);
    test::<u8>(0, options, "0");
    test::<u8>(1, options, "1");
    test::<u8>(10, options, "10");
    test::<u8>(100, options, "100");
    test::<u16>(1000, options, "1000");
    test::<u16>(10000, options, "10000");
    test::<u8>(9, options, "9");
    test::<u8>(99, options, "99");
    test::<u16>(999, options, "999");
    test::<u16>(9999, options, "9999");
    test::<u32>(99999, options, "99999");

    options = ToSciOptions::default();
    options.set_scale(0);
    options.set_include_trailing_zeros(true); // doesn't matter when scale is 0
    test::<u8>(0, options, "0");
    test::<u8>(1, options, "1");
    test::<u8>(10, options, "10");
    test::<u8>(100, options, "100");
    test::<u16>(1000, options, "1000");
    test::<u16>(10000, options, "10000");
    test::<u8>(9, options, "9");
    test::<u8>(99, options, "99");
    test::<u16>(999, options, "999");
    test::<u16>(9999, options, "9999");
    test::<u32>(99999, options, "99999");

    options.set_include_trailing_zeros(false);
    test::<u8>(0, options, "0");
    test::<u8>(1, options, "1");
    test::<u8>(10, options, "10");
    test::<u8>(100, options, "100");
    test::<u16>(1000, options, "1000");
    test::<u16>(10000, options, "10000");
    test::<u8>(9, options, "9");
    test::<u8>(99, options, "99");
    test::<u16>(999, options, "999");
    test::<u16>(9999, options, "9999");
    test::<u32>(99999, options, "99999");

    options = ToSciOptions::default();
    options.set_precision(2);
    options.set_rounding_mode(Nearest); // This is the default
    test::<u8>(123, options, "1.2e2");
    options.set_rounding_mode(Down);
    test::<u8>(123, options, "1.2e2");
    options.set_rounding_mode(Floor);
    test::<u8>(123, options, "1.2e2");
    options.set_rounding_mode(Up);
    test::<u8>(123, options, "1.3e2");
    options.set_rounding_mode(Ceiling);
    test::<u8>(123, options, "1.3e2");

    options.set_rounding_mode(Nearest);
    test::<u8>(135, options, "1.4e2");
    options.set_rounding_mode(Down);
    test::<u8>(135, options, "1.3e2");
    options.set_rounding_mode(Floor);
    test::<u8>(135, options, "1.3e2");
    options.set_rounding_mode(Up);
    test::<u8>(135, options, "1.4e2");
    options.set_rounding_mode(Ceiling);
    test::<u8>(135, options, "1.4e2");

    options.set_rounding_mode(Exact);
    test::<u8>(140, options, "1.4e2");

    options.set_rounding_mode(Nearest);
    test::<u16>(999, options, "1e3");
    options.set_rounding_mode(Down);
    test::<u16>(999, options, "9.9e2");
    options.set_rounding_mode(Floor);
    test::<u16>(999, options, "9.9e2");
    options.set_rounding_mode(Up);
    test::<u16>(999, options, "1e3");
    options.set_rounding_mode(Ceiling);
    test::<u16>(999, options, "1e3");

    let mut options = ToSciOptions::default();
    options.set_include_trailing_zeros(true);
    test::<i8>(0, options, "0.000000000000000");
    test::<i8>(1, options, "1.000000000000000");
    test::<i8>(10, options, "10.00000000000000");
    test::<i8>(100, options, "100.0000000000000");
    test::<i16>(1000, options, "1000.000000000000");
    test::<i16>(10000, options, "10000.00000000000");
    test::<i32>(100000, options, "100000.0000000000");
    test::<i32>(1000000, options, "1000000.000000000");
    test::<i32>(10000000, options, "10000000.00000000");
    test::<i32>(100000000, options, "100000000.0000000");
    test::<i32>(1000000000, options, "1000000000.000000");
    test::<i64>(10000000000, options, "10000000000.00000");
    test::<i64>(100000000000, options, "100000000000.0000");
    test::<i64>(1000000000000, options, "1000000000000.000");
    test::<i64>(10000000000000, options, "10000000000000.00");
    test::<i64>(100000000000000, options, "100000000000000.0");
    test::<i64>(1000000000000000, options, "1000000000000000");
    test::<i64>(10000000000000000, options, "1.000000000000000e16");
    test::<i64>(100000000000000000, options, "1.000000000000000e17");
    test::<i64>(i64::MAX, options, "9.223372036854776e18");
    test::<i128>(i128::MAX, options, "1.701411834604692e38");
    test::<i8>(-1, options, "-1.000000000000000");
    test::<i8>(-10, options, "-10.00000000000000");
    test::<i8>(-100, options, "-100.0000000000000");
    test::<i16>(-1000, options, "-1000.000000000000");
    test::<i16>(-10000, options, "-10000.00000000000");
    test::<i32>(-100000, options, "-100000.0000000000");
    test::<i32>(-1000000, options, "-1000000.000000000");
    test::<i32>(-10000000, options, "-10000000.00000000");
    test::<i32>(-100000000, options, "-100000000.0000000");
    test::<i32>(-1000000000, options, "-1000000000.000000");
    test::<i64>(-10000000000, options, "-10000000000.00000");
    test::<i64>(-100000000000, options, "-100000000000.0000");
    test::<i64>(-1000000000000, options, "-1000000000000.000");
    test::<i64>(-10000000000000, options, "-10000000000000.00");
    test::<i64>(-100000000000000, options, "-100000000000000.0");
    test::<i64>(-1000000000000000, options, "-1000000000000000");
    test::<i64>(-10000000000000000, options, "-1.000000000000000e16");
    test::<i64>(-100000000000000000, options, "-1.000000000000000e17");
    test::<i64>(i64::MIN, options, "-9.223372036854776e18");
    test::<i128>(i128::MIN, options, "-1.701411834604692e38");

    test::<i64>(999999999999999, options, "999999999999999.0");
    test::<i64>(9999999999999999, options, "9999999999999999");
    test::<i64>(99999999999999999, options, "1.000000000000000e17");
    test::<i64>(999999999999999999, options, "1.000000000000000e18");
    test::<i64>(-999999999999999, options, "-999999999999999.0");
    test::<i64>(-9999999999999999, options, "-9999999999999999");
    test::<i64>(-99999999999999999, options, "-1.000000000000000e17");
    test::<i64>(-999999999999999999, options, "-1.000000000000000e18");

    options = ToSciOptions::default();
    options.set_base(2);
    test::<i128>(i128::MAX, options, "1e127");
    test::<i128>(i128::MIN, options, "-1e127");
    options.set_base(3);
    test::<i128>(i128::MAX, options, "1.01100201022001e80");
    test::<i128>(i128::MIN, options, "-1.01100201022001e80");
    options.set_base(4);
    test::<i128>(i128::MAX, options, "2e63");
    test::<i128>(i128::MIN, options, "-2e63");
    options.set_base(5);
    test::<i128>(i128::MAX, options, "3.013030220323124e54");
    test::<i128>(i128::MIN, options, "-3.013030220323124e54");
    options.set_base(8);
    test::<i128>(i128::MAX, options, "2e42");
    test::<i128>(i128::MIN, options, "-2e42");
    // When base >= 15, there is a mandatory sign after the exponent indicator "e", to distinguish
    // it from the digit "e"
    options.set_base(16);
    test::<i128>(i128::MAX, options, "8e+31");
    test::<i128>(i128::MIN, options, "-8e+31");
    options.set_base(32);
    test::<i128>(i128::MAX, options, "4e+25");
    test::<i128>(i128::MIN, options, "-4e+25");
    options.set_base(36);
    test::<i128>(i128::MAX, options, "7.ksyyizzkutudzbve+24");
    test::<i128>(i128::MIN, options, "-7.ksyyizzkutudzbve+24");

    // The sign can be forced in other cases too
    options.set_base(3);
    options.set_force_exponent_plus_sign(true);
    test::<i128>(i128::MAX, options, "1.01100201022001e+80");
    test::<i128>(i128::MIN, options, "-1.01100201022001e+80");

    // The digits can be uppercase, and so can the exponent indicator
    options = ToSciOptions::default();
    options.set_base(36);
    options.set_uppercase();
    test::<i128>(i128::MAX, options, "7.KSYYIZZKUTUDZBVe+24");
    test::<i128>(i128::MIN, options, "-7.KSYYIZZKUTUDZBVe+24");

    options.set_lowercase();
    options.set_e_uppercase();
    test::<i128>(i128::MAX, options, "7.ksyyizzkutudzbvE+24");
    test::<i128>(i128::MIN, options, "-7.ksyyizzkutudzbvE+24");

    options.set_uppercase();
    test::<i128>(i128::MAX, options, "7.KSYYIZZKUTUDZBVE+24");
    test::<i128>(i128::MIN, options, "-7.KSYYIZZKUTUDZBVE+24");

    options = ToSciOptions::default();
    options.set_size_complete();
    options.set_base(2);
    test::<i128>(
        i128::MAX,
        options,
        "11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111\
        11111111111111111111111111111111111111",
    );
    test::<i128>(
        i128::MIN,
        options,
        "-1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000\
        0000000000000000000000000000000000000000",
    );
    options.set_base(3);
    test::<i128>(
        i128::MAX,
        options,
        "101100201022001010121000102002120122110122221010202000122201220121120010200022001",
    );
    test::<i128>(
        i128::MIN,
        options,
        "-101100201022001010121000102002120122110122221010202000122201220121120010200022002",
    );
    options.set_base(4);
    test::<i128>(
        i128::MAX,
        options,
        "1333333333333333333333333333333333333333333333333333333333333333",
    );
    test::<i128>(
        i128::MIN,
        options,
        "-2000000000000000000000000000000000000000000000000000000000000000",
    );
    options.set_base(5);
    test::<i128>(
        i128::MAX,
        options,
        "3013030220323124042102424341431241221233040112312340402",
    );
    test::<i128>(
        i128::MIN,
        options,
        "-3013030220323124042102424341431241221233040112312340403",
    );
    options.set_base(8);
    test::<i128>(
        i128::MAX,
        options,
        "1777777777777777777777777777777777777777777",
    );
    test::<i128>(
        i128::MIN,
        options,
        "-2000000000000000000000000000000000000000000",
    );
    options.set_base(16);
    test::<i128>(i128::MAX, options, "7fffffffffffffffffffffffffffffff");
    test::<i128>(i128::MIN, options, "-80000000000000000000000000000000");
    options.set_base(32);
    test::<i128>(i128::MAX, options, "3vvvvvvvvvvvvvvvvvvvvvvvvv");
    test::<i128>(i128::MIN, options, "-40000000000000000000000000");
    options.set_base(36);
    test::<i128>(i128::MAX, options, "7ksyyizzkutudzbv8aqztecjj");
    test::<i128>(i128::MIN, options, "-7ksyyizzkutudzbv8aqztecjk");

    options = ToSciOptions::default();
    options.set_precision(4);
    options.set_include_trailing_zeros(true);
    test::<i8>(0, options, "0.000");
    test::<i8>(1, options, "1.000");
    test::<i8>(10, options, "10.00");
    test::<i8>(100, options, "100.0");
    test::<i16>(1000, options, "1000");
    test::<i16>(10000, options, "1.000e4");
    test::<i8>(-1, options, "-1.000");
    test::<i8>(-10, options, "-10.00");
    test::<i8>(-100, options, "-100.0");
    test::<i16>(-1000, options, "-1000");
    test::<i16>(-10000, options, "-1.000e4");
    test::<i8>(9, options, "9.000");
    test::<i8>(99, options, "99.00");
    test::<i16>(999, options, "999.0");
    test::<i16>(9999, options, "9999");
    test::<i32>(99999, options, "1.000e5");
    test::<i8>(-9, options, "-9.000");
    test::<i8>(-99, options, "-99.00");
    test::<i16>(-999, options, "-999.0");
    test::<i16>(-9999, options, "-9999");
    test::<i32>(-99999, options, "-1.000e5");

    options.set_include_trailing_zeros(false);
    test::<i8>(0, options, "0");
    test::<i8>(1, options, "1");
    test::<i8>(10, options, "10");
    test::<i8>(100, options, "100");
    test::<i16>(1000, options, "1000");
    test::<i16>(10000, options, "1e4");
    test::<i8>(-1, options, "-1");
    test::<i8>(-10, options, "-10");
    test::<i8>(-100, options, "-100");
    test::<i16>(-1000, options, "-1000");
    test::<i16>(-10000, options, "-1e4");
    test::<i8>(9, options, "9");
    test::<i8>(99, options, "99");
    test::<i16>(999, options, "999");
    test::<i16>(9999, options, "9999");
    test::<i32>(99999, options, "1e5");
    test::<i8>(-9, options, "-9");
    test::<i8>(-99, options, "-99");
    test::<i16>(-999, options, "-999");
    test::<i16>(-9999, options, "-9999");
    test::<i32>(-99999, options, "-1e5");

    options = ToSciOptions::default();
    options.set_precision(1);
    options.set_include_trailing_zeros(true); // doesn't matter when precision is 1
    test::<i8>(0, options, "0");
    test::<i8>(1, options, "1");
    test::<i8>(10, options, "1e1");
    test::<i8>(100, options, "1e2");
    test::<i16>(1000, options, "1e3");
    test::<i16>(10000, options, "1e4");
    test::<i8>(-1, options, "-1");
    test::<i8>(-10, options, "-1e1");
    test::<i8>(-100, options, "-1e2");
    test::<i16>(-1000, options, "-1e3");
    test::<i16>(-10000, options, "-1e4");
    test::<i8>(9, options, "9");
    test::<i8>(99, options, "1e2");
    test::<i16>(999, options, "1e3");
    test::<i16>(9999, options, "1e4");
    test::<i32>(99999, options, "1e5");
    test::<i8>(-9, options, "-9");
    test::<i8>(-99, options, "-1e2");
    test::<i16>(-999, options, "-1e3");
    test::<i16>(-9999, options, "-1e4");
    test::<i32>(-99999, options, "-1e5");

    options.set_include_trailing_zeros(false);
    test::<i8>(0, options, "0");
    test::<i8>(1, options, "1");
    test::<i8>(10, options, "1e1");
    test::<i8>(100, options, "1e2");
    test::<i16>(1000, options, "1e3");
    test::<i16>(10000, options, "1e4");
    test::<i8>(-1, options, "-1");
    test::<i8>(-10, options, "-1e1");
    test::<i8>(-100, options, "-1e2");
    test::<i16>(-1000, options, "-1e3");
    test::<i16>(-10000, options, "-1e4");
    test::<i8>(9, options, "9");
    test::<i8>(99, options, "1e2");
    test::<i16>(999, options, "1e3");
    test::<i16>(9999, options, "1e4");
    test::<i32>(99999, options, "1e5");
    test::<i8>(-9, options, "-9");
    test::<i8>(-99, options, "-1e2");
    test::<i16>(-999, options, "-1e3");
    test::<i16>(-9999, options, "-1e4");
    test::<i32>(-99999, options, "-1e5");

    options = ToSciOptions::default();
    options.set_scale(2);
    options.set_include_trailing_zeros(true);
    test::<i8>(0, options, "0.00");
    test::<i8>(1, options, "1.00");
    test::<i8>(10, options, "10.00");
    test::<i8>(100, options, "100.00");
    test::<i16>(1000, options, "1000.00");
    test::<i16>(10000, options, "10000.00");
    test::<i8>(-1, options, "-1.00");
    test::<i8>(-10, options, "-10.00");
    test::<i8>(-100, options, "-100.00");
    test::<i16>(-1000, options, "-1000.00");
    test::<i16>(-10000, options, "-10000.00");
    test::<i8>(9, options, "9.00");
    test::<i8>(99, options, "99.00");
    test::<i16>(999, options, "999.00");
    test::<i16>(9999, options, "9999.00");
    test::<i32>(99999, options, "99999.00");
    test::<i8>(-9, options, "-9.00");
    test::<i8>(-99, options, "-99.00");
    test::<i16>(-999, options, "-999.00");
    test::<i16>(-9999, options, "-9999.00");
    test::<i32>(-99999, options, "-99999.00");

    options.set_include_trailing_zeros(false);
    test::<i8>(0, options, "0");
    test::<i8>(1, options, "1");
    test::<i8>(10, options, "10");
    test::<i8>(100, options, "100");
    test::<i16>(1000, options, "1000");
    test::<i16>(10000, options, "10000");
    test::<i8>(-1, options, "-1");
    test::<i8>(-10, options, "-10");
    test::<i8>(-100, options, "-100");
    test::<i16>(-1000, options, "-1000");
    test::<i16>(-10000, options, "-10000");
    test::<i8>(9, options, "9");
    test::<i8>(99, options, "99");
    test::<i16>(999, options, "999");
    test::<i16>(9999, options, "9999");
    test::<i32>(99999, options, "99999");
    test::<i8>(-9, options, "-9");
    test::<i8>(-99, options, "-99");
    test::<i16>(-999, options, "-999");
    test::<i16>(-9999, options, "-9999");
    test::<i32>(-99999, options, "-99999");

    options = ToSciOptions::default();
    options.set_scale(0);
    options.set_include_trailing_zeros(true); // doesn't matter when scale is 0
    test::<i8>(0, options, "0");
    test::<i8>(1, options, "1");
    test::<i8>(10, options, "10");
    test::<i8>(100, options, "100");
    test::<i16>(1000, options, "1000");
    test::<i16>(10000, options, "10000");
    test::<i8>(-1, options, "-1");
    test::<i8>(-10, options, "-10");
    test::<i8>(-100, options, "-100");
    test::<i16>(-1000, options, "-1000");
    test::<i16>(-10000, options, "-10000");
    test::<i8>(9, options, "9");
    test::<i8>(99, options, "99");
    test::<i16>(999, options, "999");
    test::<i16>(9999, options, "9999");
    test::<i32>(99999, options, "99999");
    test::<i8>(-9, options, "-9");
    test::<i8>(-99, options, "-99");
    test::<i16>(-999, options, "-999");
    test::<i16>(-9999, options, "-9999");
    test::<i32>(-99999, options, "-99999");

    options.set_include_trailing_zeros(false);
    test::<i8>(0, options, "0");
    test::<i8>(1, options, "1");
    test::<i8>(10, options, "10");
    test::<i8>(100, options, "100");
    test::<i16>(1000, options, "1000");
    test::<i16>(10000, options, "10000");
    test::<i8>(-1, options, "-1");
    test::<i8>(-10, options, "-10");
    test::<i8>(-100, options, "-100");
    test::<i16>(-1000, options, "-1000");
    test::<i16>(-10000, options, "-10000");
    test::<i8>(9, options, "9");
    test::<i8>(99, options, "99");
    test::<i16>(999, options, "999");
    test::<i16>(9999, options, "9999");
    test::<i32>(99999, options, "99999");
    test::<i8>(-9, options, "-9");
    test::<i8>(-99, options, "-99");
    test::<i16>(-999, options, "-999");
    test::<i16>(-9999, options, "-9999");
    test::<i32>(-99999, options, "-99999");

    options = ToSciOptions::default();
    options.set_precision(2);
    options.set_rounding_mode(Nearest); // This is the default
    test::<i8>(123, options, "1.2e2");
    test::<i8>(-123, options, "-1.2e2");
    options.set_rounding_mode(Down);
    test::<i8>(123, options, "1.2e2");
    test::<i8>(-123, options, "-1.2e2");
    options.set_rounding_mode(Floor);
    test::<i8>(123, options, "1.2e2");
    test::<i8>(-123, options, "-1.3e2");
    options.set_rounding_mode(Up);
    test::<i8>(123, options, "1.3e2");
    test::<i8>(-123, options, "-1.3e2");
    options.set_rounding_mode(Ceiling);
    test::<i8>(123, options, "1.3e2");
    test::<i8>(-123, options, "-1.2e2");

    options.set_rounding_mode(Nearest);
    test::<i16>(135, options, "1.4e2");
    test::<i16>(-135, options, "-1.4e2");
    options.set_rounding_mode(Down);
    test::<i16>(135, options, "1.3e2");
    test::<i16>(-135, options, "-1.3e2");
    options.set_rounding_mode(Floor);
    test::<i16>(135, options, "1.3e2");
    test::<i16>(-135, options, "-1.4e2");
    options.set_rounding_mode(Up);
    test::<i16>(135, options, "1.4e2");
    test::<i16>(-135, options, "-1.4e2");
    options.set_rounding_mode(Ceiling);
    test::<i16>(135, options, "1.4e2");
    test::<i16>(-135, options, "-1.3e2");

    options.set_rounding_mode(Exact);
    test::<i16>(140, options, "1.4e2");
    test::<i16>(-140, options, "-1.4e2");

    options.set_rounding_mode(Nearest);
    test::<i16>(999, options, "1e3");
    test::<i16>(-999, options, "-1e3");
    options.set_rounding_mode(Down);
    test::<i16>(999, options, "9.9e2");
    test::<i16>(-999, options, "-9.9e2");
    options.set_rounding_mode(Floor);
    test::<i16>(999, options, "9.9e2");
    test::<i16>(-999, options, "-1e3");
    options.set_rounding_mode(Up);
    test::<i16>(999, options, "1e3");
    test::<i16>(-999, options, "-1e3");
    options.set_rounding_mode(Ceiling);
    test::<i16>(999, options, "1e3");
    test::<i16>(-999, options, "-9.9e2");
}

fn to_sci_with_options_fail_helper<T: PrimitiveInt>() {
    assert_panic!({
        let mut options = ToSciOptions::default();
        options.set_rounding_mode(Exact);
        options.set_precision(2);
        T::wrapping_from(123u8)
            .to_sci_with_options(options)
            .to_string()
    });
}

#[test]
pub fn to_sci_with_options_fail() {
    apply_fn_to_primitive_ints!(to_sci_with_options_fail_helper);
}

fn to_sci_helper_unsigned<T: PrimitiveUnsigned>() {
    let mut powers_of_10 = HashMap::new();
    let ten = T::from(10u8);
    let default_p = 16;
    unsigned_gen::<T>().test_properties(|x| {
        assert!(x.fmt_sci_valid(ToSciOptions::default()));
        let s = x.to_sci().to_string();
        assert_eq!(
            x.to_sci_with_options(ToSciOptions::default()).to_string(),
            s
        );
        assert!(string_is_subset(&s, DECIMAL_SCI_STRING_CHARS));
        assert!(!s.starts_with('.'));
        assert!(!s.ends_with('.'));
        assert!(!s.contains('-'));
        assert!(!s.contains('+'));
        assert!(!s.contains('E'));
        assert!(s.chars().filter(|&c| c == '.').count() <= 1);
        if let Some(x_from) = T::from_sci_string(&s) {
            if x == T::ZERO {
                assert_eq!(x_from, T::ZERO);
            } else {
                let log = x.floor_log_base(ten);
                if log < default_p {
                    assert_eq!(x_from, x);
                } else {
                    let pow = *powers_of_10
                        .entry(log - default_p + 1)
                        .or_insert_with_key(|&p| ten.pow(p));
                    assert_eq!(x.round_to_multiple(pow, Nearest).0, x_from);
                }
            }
        } else {
            assert_eq!(x.significant_bits(), T::WIDTH);
        }
    });
}

fn to_sci_helper_signed<T: PrimitiveSigned>()
where
    <T as UnsignedAbs>::Output: PrimitiveUnsigned,
{
    let mut powers_of_10 = HashMap::new();
    let ten = T::from(10);
    let u_ten = <T as UnsignedAbs>::Output::from(10u8);
    let default_p = 16;
    signed_gen::<T>().test_properties(|x| {
        assert!(x.fmt_sci_valid(ToSciOptions::default()));
        let s = x.to_sci().to_string();
        assert_eq!(
            x.to_sci_with_options(ToSciOptions::default()).to_string(),
            s
        );
        assert!(string_is_subset(&s, DECIMAL_SCI_STRING_CHARS));
        assert!(!s.starts_with('+'));
        assert!(!s.starts_with('.'));
        assert!(!s.ends_with('+'));
        assert!(!s.ends_with('-'));
        assert!(!s.ends_with('.'));
        assert!(!s.contains('E'));
        assert!(!s.contains("++"));
        assert!(!s.contains("+-"));
        assert!(!s.contains("-+"));
        assert!(!s.contains("--"));
        assert!(!s.contains("-+"));
        assert!(!s.contains("+."));
        assert!(!s.contains("-."));
        assert!(!s.contains("e-"));
        assert!(s.chars().filter(|&c| c == '.').count() <= 1);
        assert!(s.chars().filter(|&c| c == '-').count() <= 1);
        assert!(s.chars().filter(|&c| c == '+').count() <= 1);
        if let Some(x_from) = T::from_sci_string(&s) {
            if x == T::ZERO {
                assert_eq!(x_from, T::ZERO);
            } else {
                let log = x.unsigned_abs().floor_log_base(u_ten);
                if log < default_p {
                    assert_eq!(x_from, x);
                } else {
                    let pow = *powers_of_10
                        .entry(log - default_p + 1)
                        .or_insert_with_key(|&p| ten.pow(p));
                    assert_eq!(x.round_to_multiple(pow, Nearest).0, x_from);
                }
            }
        } else {
            assert!(x.significant_bits() >= T::WIDTH - 1);
        }
    });
}

#[test]
fn to_sci_properties() {
    apply_fn_to_unsigneds!(to_sci_helper_unsigned);
    apply_fn_to_signeds!(to_sci_helper_signed);
}

fn to_sci_with_options_helper_unsigned<T: PrimitiveUnsigned>() {
    let mut powers = HashMap::new();
    let mut chars = HashMap::new();
    unsigned_to_sci_options_pair_gen_var_1::<T>().test_properties(|(x, options)| {
        assert!(x.fmt_sci_valid(options));
        let s = x.to_sci_with_options(options).to_string();
        let cs: &mut String = chars.entry(options.get_base()).or_insert_with_key(|&base| {
            let mut cs = "+-.0123456789".to_string();
            if base > 10 {
                let limit = usize::from(base - 10);
                for c in ('a'..='z').take(limit) {
                    cs.push(c);
                }
                for c in ('A'..='Z').take(limit) {
                    cs.push(c);
                }
            }
            if base < 15 {
                cs.push('e');
                cs.push('E');
            }
            cs
        });
        assert!(string_is_subset(&s, cs));
        assert!(!s.starts_with('+'));
        assert!(!s.starts_with('.'));
        assert!(!s.ends_with('+'));
        assert!(!s.ends_with('.'));
        assert!(!s.contains('-'));
        assert!(!s.contains("++"));
        assert!(!s.contains("+."));
        assert!(s.chars().filter(|&c| c == '.').count() <= 1);
        assert!(s.chars().filter(|&c| c == '+').count() <= 1);
        let mut from_options = FromSciStringOptions::default();
        from_options.set_base(options.get_base());
        if let Some(x_from) = T::from_sci_string_with_options(&s, from_options) {
            if x == T::ZERO {
                assert_eq!(x_from, T::ZERO);
            } else {
                let base = T::from(options.get_base());
                let scale = match options.get_size_options() {
                    SciSizeOptions::Complete | SciSizeOptions::Scale(_) => None,
                    SciSizeOptions::Precision(p) => {
                        let log = x.floor_log_base(base);
                        if log >= p {
                            Some(log - p + 1)
                        } else {
                            None
                        }
                    }
                };
                if let Some(scale) = scale {
                    let pow = *powers
                        .entry((base, scale))
                        .or_insert_with(|| base.pow(scale));
                    assert_eq!(
                        x.round_to_multiple(pow, options.get_rounding_mode()).0,
                        x_from
                    );
                } else {
                    assert_eq!(x_from, x);
                }
            }
        } else {
            assert_eq!(x.significant_bits(), T::WIDTH);
        }
    });
}

fn to_sci_with_options_helper_signed<T: PrimitiveSigned>()
where
    <T as UnsignedAbs>::Output: PrimitiveUnsigned,
{
    let mut powers = HashMap::new();
    let mut chars = HashMap::new();
    signed_to_sci_options_pair_gen_var_1::<T>().test_properties(|(x, options)| {
        assert!(x.fmt_sci_valid(options));
        let s = x.to_sci_with_options(options).to_string();
        let cs: &mut String = chars.entry(options.get_base()).or_insert_with_key(|&base| {
            let mut cs = "+-.0123456789".to_string();
            if base > 10 {
                let limit = usize::from(base - 10);
                for c in ('a'..='z').take(limit) {
                    cs.push(c);
                }
                for c in ('A'..='Z').take(limit) {
                    cs.push(c);
                }
            }
            if base < 15 {
                cs.push('e');
                cs.push('E');
            }
            cs
        });
        assert!(string_is_subset(&s, cs));
        assert!(!s.starts_with('+'));
        assert!(!s.starts_with('.'));
        assert!(!s.ends_with('+'));
        assert!(!s.ends_with('-'));
        assert!(!s.ends_with('.'));
        assert!(!s.contains("++"));
        assert!(!s.contains("+-"));
        assert!(!s.contains("-+"));
        assert!(!s.contains("--"));
        assert!(!s.contains("-+"));
        assert!(!s.contains("+."));
        assert!(!s.contains("-."));
        assert!(!s.contains("e-"));
        assert!(!s.contains("E-"));
        assert!(s.chars().filter(|&c| c == '.').count() <= 1);
        assert!(s.chars().filter(|&c| c == '-').count() <= 1);
        assert!(s.chars().filter(|&c| c == '+').count() <= 1);
        let mut from_options = FromSciStringOptions::default();
        from_options.set_base(options.get_base());
        if let Some(x_from) = T::from_sci_string_with_options(&s, from_options) {
            if x == T::ZERO {
                assert_eq!(x_from, T::ZERO);
            } else {
                let base = T::wrapping_from(options.get_base());
                let u_base = <T as UnsignedAbs>::Output::from(options.get_base());
                let scale = match options.get_size_options() {
                    SciSizeOptions::Complete | SciSizeOptions::Scale(_) => None,
                    SciSizeOptions::Precision(p) => {
                        let log = x.unsigned_abs().floor_log_base(u_base);
                        if log >= p {
                            Some(log - p + 1)
                        } else {
                            None
                        }
                    }
                };
                if let Some(scale) = scale {
                    let pow = *powers
                        .entry((base, scale))
                        .or_insert_with(|| base.pow(scale));
                    assert_eq!(
                        x.round_to_multiple(pow, options.get_rounding_mode()).0,
                        x_from
                    );
                } else {
                    assert_eq!(x_from, x);
                }
            }
        } else {
            assert!(x.significant_bits() >= T::WIDTH - 1);
        }
    });
}

#[test]
fn to_sci_with_options_properties() {
    apply_fn_to_unsigneds!(to_sci_with_options_helper_unsigned);
    apply_fn_to_signeds!(to_sci_with_options_helper_signed);
}