fn main() {
    // basic arithmetic
    assert_eq!(6.0_f32*6.0_f32, 36.0_f32);
    assert_eq!(6.0_f64*6.0_f64, 36.0_f64);
    assert_eq!(-{5.0_f32}, -5.0_f32);
    assert_eq!(-{5.0_f64}, -5.0_f64);
    // infinities, NaN
    assert!((5.0_f32/0.0).is_infinite());
    assert!((5.0_f64/0.0).is_infinite());
    assert!((-5.0_f32).sqrt().is_nan());
    assert!((-5.0_f64).sqrt().is_nan());
    // byte-level transmute
    let x: u64 = unsafe { std::mem::transmute(42.0_f64) };
    let y: f64 = unsafe { std::mem::transmute(x) };
    assert_eq!(y, 42.0_f64);
    let x: u32 = unsafe { std::mem::transmute(42.0_f32) };
    let y: f32 = unsafe { std::mem::transmute(x) };
    assert_eq!(y, 42.0_f32);

    // f32-to-int casts
    assert_eq!(5.0f32 as u32, 5);
    assert_eq!(-5.0f32 as u32, 0);
    assert_eq!(5.0f32 as i32, 5);
    assert_eq!(-5.0f32 as i32, -5);
    assert_eq!(std::f32::MAX as i32, i32::MAX);
    assert_eq!(std::f32::INFINITY as i32, i32::MAX);
    assert_eq!(std::f32::MAX as u32, u32::MAX);
    assert_eq!(std::f32::INFINITY as u32, u32::MAX);
    assert_eq!(std::f32::MIN as i32, i32::MIN);
    assert_eq!(std::f32::NEG_INFINITY as i32, i32::MIN);
    assert_eq!(std::f32::MIN as u32, 0);
    assert_eq!(std::f32::NEG_INFINITY as u32, 0);
    assert_eq!(std::f32::NAN as i32, 0);
    assert_eq!(std::f32::NAN as u32, 0);
    assert_eq!(u128::MAX as f32, std::f32::INFINITY);
    assert_eq!((u32::MAX-127) as f32 as u32, u32::MAX); // rounding loss
    assert_eq!((u32::MAX-128) as f32 as u32, u32::MAX-255); // rounding loss

    // f64-to-int casts
    assert_eq!(5.0f64 as u64, 5);
    assert_eq!(-5.0f64 as u64, 0);
    assert_eq!(5.0f64 as i64, 5);
    assert_eq!(-5.0f64 as i64, -5);
    assert_eq!(std::f64::MAX as i64, i64::MAX);
    assert_eq!(std::f64::INFINITY as i64, i64::MAX);
    assert_eq!(std::f64::MAX as u64, u64::MAX);
    assert_eq!(std::f64::INFINITY as u64, u64::MAX);
    assert_eq!(std::f64::MIN as i64, i64::MIN);
    assert_eq!(std::f64::NEG_INFINITY as i64, i64::MIN);
    assert_eq!(std::f64::MIN as u64, 0);
    assert_eq!(std::f64::NEG_INFINITY as u64, 0);
    assert_eq!(std::f64::NAN as i64, 0);
    assert_eq!(std::f64::NAN as u64, 0);
    assert_eq!(u128::MAX as f64 as u128, u128::MAX);
    assert_eq!((u64::MAX-1023) as f64 as u64, u64::MAX); // rounding loss
    assert_eq!((u64::MAX-1024) as f64 as u64, u64::MAX-2047); // rounding loss

    // f32 <-> f64 casts
    assert_eq!(5.0f64 as f32, 5.0f32);
    assert_eq!(5.0f32 as f64, 5.0f64);
    assert_eq!(std::f64::MAX as f32, std::f32::INFINITY);
    assert_eq!(std::f64::MIN as f32, std::f32::NEG_INFINITY);
    assert_eq!(std::f32::INFINITY as f64, std::f64::INFINITY);
    assert_eq!(std::f32::NEG_INFINITY as f64, std::f64::NEG_INFINITY);

    // f32 min/max
    assert_eq!((1.0 as f32).max(-1.0), 1.0);
    assert_eq!((1.0 as f32).min(-1.0), -1.0);
    assert_eq!(std::f32::NAN.min(9.0), 9.0);
    assert_eq!(std::f32::NAN.max(-9.0), -9.0);
    assert_eq!((9.0 as f32).min(std::f32::NAN), 9.0);
    assert_eq!((-9.0 as f32).max(std::f32::NAN), -9.0);

    // f64 min/max
    assert_eq!((1.0 as f64).max(-1.0), 1.0);
    assert_eq!((1.0 as f64).min(-1.0), -1.0);
    assert_eq!(std::f64::NAN.min(9.0), 9.0);
    assert_eq!(std::f64::NAN.max(-9.0), -9.0);
    assert_eq!((9.0 as f64).min(std::f64::NAN), 9.0);
    assert_eq!((-9.0 as f64).max(std::f64::NAN), -9.0);

    // f32 copysign
    assert_eq!(3.5_f32.copysign(0.42), 3.5_f32);
    assert_eq!(3.5_f32.copysign(-0.42), -3.5_f32);
    assert_eq!((-3.5_f32).copysign(0.42), 3.5_f32);
    assert_eq!((-3.5_f32).copysign(-0.42), -3.5_f32);
    assert!(std::f32::NAN.copysign(1.0).is_nan());

    // f64 copysign
    assert_eq!(3.5_f64.copysign(0.42), 3.5_f64);
    assert_eq!(3.5_f64.copysign(-0.42), -3.5_f64);
    assert_eq!((-3.5_f64).copysign(0.42), 3.5_f64);
    assert_eq!((-3.5_f64).copysign(-0.42), -3.5_f64);
    assert!(std::f64::NAN.copysign(1.0).is_nan());
}