Math #

fn main() {
    // Konstanta untuk f64
    println!("π  = {:.15}", std::f64::consts::PI);         // 3.141592653589793
    println!("e  = {:.15}", std::f64::consts::E);           // 2.718281828459045
    println!("√2 = {:.15}", std::f64::consts::SQRT_2);      // 1.4142135623730951
    println!("ln2= {:.15}", std::f64::consts::LN_2);        // 0.6931471805599453
    println!("log2(e) = {}", std::f64::consts::LOG2_E);
    println!("log10(e) = {}", std::f64::consts::LOG10_E);
    println!("τ (2π) = {:.6}", std::f64::consts::TAU);      // 6.283185...

    // Batas tipe numerik
    println!("\n--- Batas Integer ---");
    println!("i8:  {} .. {}", i8::MIN, i8::MAX);            // -128 .. 127
    println!("i32: {} .. {}", i32::MIN, i32::MAX);          // -2147483648 .. 2147483647
    println!("i64: {} .. {}", i64::MIN, i64::MAX);
    println!("u8:  {} .. {}", u8::MIN, u8::MAX);            // 0 .. 255
    println!("u32: {} .. {}", u32::MIN, u32::MAX);          // 0 .. 4294967295

    println!("\n--- Batas Float ---");
    println!("f32 max: {:.2e}", f32::MAX);                   // 3.40e38
    println!("f64 max: {:.2e}", f64::MAX);                   // 1.80e308
    println!("f64 min positif: {:.2e}", f64::MIN_POSITIVE);  // 2.23e-308
    println!("f64 epsilon: {:.2e}", f64::EPSILON);           // 2.22e-16
    println!("NaN: {}", f64::NAN);
    println!("Infinity: {}", f64::INFINITY);
    println!("Neg Infinity: {}", f64::NEG_INFINITY);
}

fn main() {
    let a: i32 = i32::MAX;  // 2147483647

    // ANTI-PATTERN: overflow wraparound di release mode (panic di debug mode)
    // let b = a + 1;  // panic di debug, wraps di release

    // BENAR: gunakan metode yang eksplisit tentang penanganan overflow

    // checked_* — mengembalikan None jika overflow
    println!("{:?}", a.checked_add(1));      // None
    println!("{:?}", a.checked_add(-1));     // Some(2147483646)
    println!("{:?}", 100i32.checked_mul(3)); // Some(300)

    // saturating_* — berhenti di batas MIN atau MAX
    println!("{}", a.saturating_add(1));     // 2147483647 (tetap di MAX)
    println!("{}", i32::MIN.saturating_sub(1)); // -2147483648 (tetap di MIN)
    println!("{}", 200u8.saturating_add(100));  // 255 (u8::MAX)

    // wrapping_* — wraparound (perilaku modular arithmetic)
    println!("{}", a.wrapping_add(1));       // -2147483648 (wraparound ke MIN)
    println!("{}", 255u8.wrapping_add(1));   // 0

    // overflowing_* — kembalikan (hasil, apakah_overflow)
    let (hasil, overflow) = a.overflowing_add(1);
    println!("hasil: {}, overflow: {}", hasil, overflow);  // -2147483648, true

    // Aritmetika dasar
    println!("\n--- Aritmetika Dasar ---");
    println!("7 / 2 = {}", 7 / 2);          // 3 (integer division, truncate)
    println!("7 % 2 = {}", 7 % 2);          // 1 (remainder)
    println!("-7 % 2 = {}", -7 % 2);        // -1 (tanda mengikuti pembilang)
    println!("7.0 / 2.0 = {}", 7.0_f64 / 2.0); // 3.5
    println!("2_i32.pow(10) = {}", 2_i32.pow(10)); // 1024
    println!("2_u64.pow(32) = {}", 2_u64.pow(32)); // 4294967296
}

fn main() {
    // GCD — Algoritma Euclidean
    fn gcd(a: u64, b: u64) -> u64 {
        if b == 0 { a } else { gcd(b, a % b) }
    }

    // LCM
    fn lcm(a: u64, b: u64) -> u64 {
        a / gcd(a, b) * b
    }

    println!("GCD(48, 18) = {}", gcd(48, 18));   // 6
    println!("LCM(4, 6) = {}", lcm(4, 6));        // 12

    // Manipulasi bit
    let n: u8 = 0b1010_1100;  // 172
    println!("n = {:08b} = {}", n, n);
    println!("n << 2 = {:08b}", n << 2);          // shift kiri 2
    println!("n >> 1 = {:08b}", n >> 1);           // shift kanan 1
    println!("n & 0x0F = {:08b}", n & 0x0F);       // AND (ambil 4 bit bawah)
    println!("n | 0x0F = {:08b}", n | 0x0F);       // OR
    println!("n ^ 0xFF = {:08b}", n ^ 0xFF);       // XOR
    println!("!n = {:08b}", !n);                    // NOT
    println!("count_ones: {}", n.count_ones());     // jumlah bit 1
    println!("count_zeros: {}", n.count_zeros());   // jumlah bit 0
    println!("leading_zeros: {}", n.leading_zeros());
    println!("trailing_zeros: {}", n.trailing_zeros());
    println!("reverse_bits: {:08b}", n.reverse_bits());
    println!("rotate_left(3): {:08b}", n.rotate_left(3));

    // Integer ke bytes dan sebaliknya
    let angka: u32 = 0x12345678;
    println!("\nu32 = 0x{:08X}", angka);
    let be = angka.to_be_bytes();   // big-endian
    let le = angka.to_le_bytes();   // little-endian
    println!("big-endian bytes: {:02X?}", be);    // [12, 34, 56, 78]
    println!("little-endian bytes: {:02X?}", le); // [78, 56, 34, 12]

    // Dari bytes kembali ke integer
    let kembali = u32::from_be_bytes(be);
    println!("kembali: 0x{:08X}", kembali);  // 0x12345678
}

fn main() {
    let x: f64 = 2.0;

    // Akar dan pangkat
    println!("√2 = {}", x.sqrt());            // 1.4142135...
    println!("∛8 = {}", 8.0_f64.cbrt());      // 2.0
    println!("2^10 = {}", x.powi(10));         // 1024.0 (pangkat integer)
    println!("2^1.5 = {}", x.powf(1.5));       // 2.828...
    println!("e^2 = {}", x.exp());             // 7.389...
    println!("2^x = {}", x.exp2());            // 4.0

    // Logaritma
    println!("\n--- Logaritma ---");
    println!("ln(e) = {}", std::f64::consts::E.ln());     // 1.0
    println!("ln(2) = {}", 2.0_f64.ln());                 // 0.693...
    println!("log2(8) = {}", 8.0_f64.log2());             // 3.0
    println!("log10(1000) = {}", 1000.0_f64.log10());     // 3.0
    println!("log_5(125) = {}", 125.0_f64.log(5.0));      // 3.0

    // Nilai absolut, min, max
    println!("\n--- Absolut, Min, Max ---");
    println!("|−5.5| = {}", (-5.5_f64).abs());            // 5.5
    println!("|-5| = {}", (-5_i32).abs());                 // 5
    println!("min(3, 7) = {}", 3.0_f64.min(7.0));         // 3.0
    println!("max(3, 7) = {}", 3.0_f64.max(7.0));         // 7.0
    println!("clamp(15, 0, 10) = {}", 15.0_f64.clamp(0.0, 10.0)); // 10.0
    println!("clamp(-5, 0, 10) = {}", (-5.0_f64).clamp(0.0, 10.0)); // 0.0

    // Pembulatan
    println!("\n--- Pembulatan ---");
    let f = 3.7_f64;
    println!("floor({}) = {}", f, f.floor());   // 3.0
    println!("ceil({}) = {}", f, f.ceil());      // 4.0
    println!("round({}) = {}", f, f.round());    // 4.0
    println!("trunc({}) = {}", f, f.trunc());    // 3.0 (hapus desimal)
    println!("fract({}) = {}", f, f.fract());    // 0.7 (hanya desimal)

    // Pembulatan ke N desimal
    fn bulat_n_desimal(x: f64, n: u32) -> f64 {
        let faktor = 10f64.powi(n as i32);
        (x * faktor).round() / faktor
    }
    println!("π rounded 4dp: {}", bulat_n_desimal(std::f64::consts::PI, 4)); // 3.1416

    // Cek nilai khusus
    println!("\n--- Nilai Khusus ---");
    println!("NaN is_nan: {}", f64::NAN.is_nan());         // true
    println!("Inf is_infinite: {}", f64::INFINITY.is_infinite()); // true
    println!("3.14 is_finite: {}", 3.14_f64.is_finite());  // true
    println!("0.0 is_sign_positive: {}", 0.0_f64.is_sign_positive()); // true
    println!("-0.0 is_sign_negative: {}", (-0.0_f64).is_sign_negative()); // true

    // NaN tidak sama dengan dirinya sendiri
    let nan = f64::NAN;
    println!("NaN == NaN: {}", nan == nan);  // false!
    println!("NaN.is_nan(): {}", nan.is_nan());  // true — cara yang benar
}

fn main() {
    use std::f64::consts::PI;

    // Fungsi trigonometri (argumen dalam radian)
    println!("--- Trigonometri (radian) ---");
    println!("sin(π/6) = {:.4}", (PI / 6.0).sin());   // 0.5
    println!("cos(π/3) = {:.4}", (PI / 3.0).cos());   // 0.5
    println!("tan(π/4) = {:.4}", (PI / 4.0).tan());   // 1.0

    // Konversi derajat ↔ radian
    fn ke_radian(derajat: f64) -> f64 { derajat * PI / 180.0 }
    fn ke_derajat(radian: f64) -> f64 { radian * 180.0 / PI }

    println!("\n--- Trigonometri (derajat) ---");
    println!("sin(30°) = {:.4}", ke_radian(30.0).sin());   // 0.5000
    println!("cos(60°) = {:.4}", ke_radian(60.0).cos());   // 0.5000
    println!("tan(45°) = {:.4}", ke_radian(45.0).tan());   // 1.0000

    // Invers trigonometri (mengembalikan radian)
    println!("\n--- Invers Trigonometri ---");
    println!("asin(0.5) = {:.4}° = 30°", ke_derajat(0.5_f64.asin()));
    println!("acos(0.5) = {:.4}° = 60°", ke_derajat(0.5_f64.acos()));
    println!("atan(1.0) = {:.4}° = 45°", ke_derajat(1.0_f64.atan()));

    // atan2 — sudut dari vektor (y, x), range -π hingga π
    println!("atan2(1, 1) = {:.4}° = 45°", ke_derajat(1.0_f64.atan2(1.0)));
    println!("atan2(1, -1) = {:.4}° = 135°", ke_derajat(1.0_f64.atan2(-1.0)));

    // Hiperbolik
    println!("\n--- Hiperbolik ---");
    println!("sinh(1) = {:.4}", 1.0_f64.sinh());
    println!("cosh(1) = {:.4}", 1.0_f64.cosh());
    println!("tanh(1) = {:.4}", 1.0_f64.tanh());

    // sin_cos — hitung keduanya sekaligus (lebih efisien)
    let (sin, cos) = (PI / 4.0).sin_cos();
    println!("\nsin_cos(π/4) = ({:.4}, {:.4})", sin, cos);  // (0.7071, 0.7071)

    // Hypot — panjang hipotenusa: √(x² + y²)
    println!("hypot(3, 4) = {}", 3.0_f64.hypot(4.0));  // 5.0
}

fn main() {
    // Integer: Ord — bisa sort langsung
    let mut angka = vec![5, 2, 8, 1, 9, 3];
    angka.sort();
    println!("Sorted: {:?}", angka);

    angka.sort_by(|a, b| b.cmp(a));  // descending
    println!("Descending: {:?}", angka);

    // Float: PartialOrd saja (NaN tidak comparable)
    let mut floats = vec![3.14, 1.0, 2.718, 0.5];
    floats.sort_by(|a, b| a.partial_cmp(b).unwrap());
    println!("Floats sorted: {:?}", floats);

    // sort_by_key
    let mut pasangan = vec![(3, "tiga"), (1, "satu"), (2, "dua")];
    pasangan.sort_by_key(|&(k, _)| k);
    println!("By key: {:?}", pasangan);

    // min dan max dari iterator
    let data = vec![5, 2, 8, 1, 9];
    println!("Min: {:?}", data.iter().min());  // Some(1)
    println!("Max: {:?}", data.iter().max());  // Some(9)

    // sum dan product
    let jumlah: i32 = data.iter().sum();
    let produk: i32 = data.iter().product();
    println!("Sum: {}, Product: {}", jumlah, produk);

    // Rata-rata
    let rata: f64 = data.iter().map(|&x| x as f64).sum::<f64>() / data.len() as f64;
    println!("Rata-rata: {:.2}", rata);

    // Perbandingan float yang aman (hindari == untuk float)
    fn kira_sama(a: f64, b: f64, epsilon: f64) -> bool {
        (a - b).abs() < epsilon
    }
    println!("0.1 + 0.2 ≈ 0.3: {}", kira_sama(0.1 + 0.2, 0.3, f64::EPSILON * 10.0));
}

[dependencies]
rand = "0.8"

use rand::{Rng, thread_rng};
use rand::seq::SliceRandom;
use rand::distributions::{Distribution, Uniform};

fn main() {
    let mut rng = thread_rng();

    // Integer acak dalam range (inklusif)
    let n: i32 = rng.gen_range(1..=100);
    println!("Angka acak 1-100: {}", n);

    // Float acak dalam [0.0, 1.0)
    let f: f64 = rng.gen();
    println!("Float acak: {:.4}", f);

    // Float dalam range
    let f_range: f64 = rng.gen_range(0.0..=10.0);
    println!("Float 0-10: {:.4}", f_range);

    // Bool acak
    let b: bool = rng.gen();
    println!("Bool acak: {}", b);

    // Distribusi Uniform (lebih efisien untuk banyak sampel dari range yang sama)
    let distribusi = Uniform::from(1..=6);  // dadu 6 sisi
    println!("Dadu: {:?}", (0..5).map(|_| distribusi.sample(&mut rng)).collect::<Vec<_>>());

    // Pilih elemen acak dari slice
    let buah = ["apel", "mangga", "jeruk", "durian", "rambutan"];
    if let Some(pilihan) = buah.choose(&mut rng) {
        println!("Buah acak: {}", pilihan);
    }

    // Pilih N elemen acak tanpa pengulangan
    let pilihan_n: Vec<&&str> = buah.choose_multiple(&mut rng, 3).collect();
    println!("3 buah acak: {:?}", pilihan_n);

    // Shuffle slice
    let mut kartu: Vec<i32> = (1..=10).collect();
    kartu.shuffle(&mut rng);
    println!("Kartu diacak: {:?}", kartu);

    // Seed deterministik (reproducible) — berguna untuk testing
    use rand::SeedableRng;
    use rand::rngs::StdRng;
    let seed: u64 = 42;
    let mut rng_seed = StdRng::seed_from_u64(seed);
    let acak_seed: i32 = rng_seed.gen_range(1..=100);
    println!("Dengan seed {}: {}", seed, acak_seed);  // selalu sama
}

fn main() {
    // Nilai absolut — tersedia untuk semua tipe numerik signed
    println!("{}", (-42_i32).abs());     // 42
    println!("{}", (-3.14_f64).abs());   // 3.14

    // signum — tanda nilai (-1, 0, atau 1)
    println!("{}", (-5_i32).signum());   // -1
    println!("{}", 0_i32.signum());      // 0
    println!("{}", 5_i32.signum());      // 1

    // Divisi dan modulo dengan pembulatan ke bawah (floor div)
    // Rust % memberikan sisa dengan tanda pembilang
    // Untuk floor division, gunakan div_euclid dan rem_euclid
    println!("\n--- Euclidean Division ---");
    println!("-7 % 3 = {}", -7_i32 % 3);              // -1 (Rust)
    println!("-7 rem_euclid 3 = {}", (-7_i32).rem_euclid(3)); // 2 (selalu positif)
    println!("-7 div_euclid 3 = {}", (-7_i32).div_euclid(3)); // -3

    // Cek berbagai properti numerik
    println!("\n--- Properti Numerik ---");
    println!("16 is_power_of_two: {}", 16_u32.is_power_of_two());  // true
    println!("12 is_power_of_two: {}", 12_u32.is_power_of_two());  // false
    println!("next_power_of_two(5): {}", 5_u32.next_power_of_two());  // 8
    println!("leading_zeros(1): {}", 1_u32.leading_zeros());  // 31

    // Konversi antara tipe numerik
    let i: i32 = 42;
    let f: f64 = i as f64;        // casting — bisa lossy untuk nilai besar
    let kembali: i32 = f as i32;  // float ke int — truncate, tidak round

    // Konversi yang aman dengan TryFrom/TryInto
    use std::convert::TryInto;
    let besar: i64 = 300;
    let kecil: Result<i8, _> = besar.try_into();
    println!("\n300 as i8: {:?}", kecil);  // Err (300 > i8::MAX)

    let kecil2: i64 = 100;
    let ok: Result<i8, _> = kecil2.try_into();
    println!("100 as i8: {:?}", ok);  // Ok(100)
}