Struct fixed::FixedI32

#[repr(transparent)]
pub struct FixedI32<Frac> { /* fields omitted */ }

A 32-bit signed number with Frac fractional bits.

The number has 32 bits, of which f = Frac are fractional bits and 32 − f are integer bits. The value x can lie in the range −2³¹/2^f ≤ x < 2³¹/2^f. The difference between successive numbers is constant throughout the range: Δ = 1/2^f.

When f = 0, Δ = 1 and the fixed-point number behaves like an i32 with the value lying in the range −2³¹ ≤ x < 2³¹. When f = 32, Δ = 1/2³² and the value lies in the range −1/2 ≤ x < 1/2.

Frac is an Unsigned as provided by the typenum crate; the plan is to to have a major version 2 with const generics instead when the Rust compiler support for them is powerful enough.

FixedI32<Frac> has the same size, alignment and ABI as i32; it is #[repr(transparent)] with i32 as the only non-zero-sized field.

Examples

use fixed::{types::extra::U3, FixedI32};
let eleven = FixedI32::<U3>::from_num(11);
assert_eq!(eleven, FixedI32::<U3>::from_bits(11 << 3));
assert_eq!(eleven, 11);
assert_eq!(eleven.to_string(), "11");
let two_point_75 = eleven / 4;
assert_eq!(two_point_75, FixedI32::<U3>::from_bits(11 << 1));
assert_eq!(two_point_75, 2.75);
assert_eq!(two_point_75.to_string(), "2.8");

Implementations

impl<Frac> FixedI32<Frac>

The implementation of items in this block is independent of the number of fractional bits Frac.

pub const ZERO: FixedI32<Frac>

Zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::ZERO, Fix::from_bits(0));

pub const DELTA: FixedI32<Frac>

The difference between any two successive representable numbers, Δ.

If the number has f = Frac fractional bits, then Δ = 1/2^f.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::DELTA, Fix::from_bits(1));
// binary 0.0001 is decimal 0.0625
assert_eq!(Fix::DELTA, 0.0625);

pub const MIN: FixedI32<Frac>

The smallest value that can be represented.

If the number has f = Frac fractional bits, then the minimum is −2³¹/2^f.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::MIN, Fix::from_bits(i32::MIN));

pub const MAX: FixedI32<Frac>

The largest value that can be represented.

If the number has f = Frac fractional bits, then the maximum is (2³¹ − 1)/2^f.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::MAX, Fix::from_bits(i32::MAX));

pub const IS_SIGNED: bool

true because the FixedI32 type is signed.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert!(Fix::IS_SIGNED);

pub const fn from_bits(bits: i32) -> FixedI32<Frac>

Creates a fixed-point number that has a bitwise representation identical to the given integer.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
// 0010.0000 == 2
assert_eq!(Fix::from_bits(0b10_0000), 2);

pub const fn to_bits(self) -> i32

Creates an integer that has a bitwise representation identical to the given fixed-point number.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
// 2 is 0010.0000
assert_eq!(Fix::from_num(2).to_bits(), 0b10_0000);

pub const fn from_be(f: FixedI32<Frac>) -> FixedI32<Frac>

Converts a fixed-point number from big endian to the target’s endianness.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let f = Fix::from_bits(0x1234_5678);
if cfg!(target_endian = "big") {
    assert_eq!(Fix::from_be(f), f);
} else {
    assert_eq!(Fix::from_be(f), f.swap_bytes());
}

pub const fn from_le(f: FixedI32<Frac>) -> FixedI32<Frac>

Converts a fixed-point number from little endian to the target’s endianness.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let f = Fix::from_bits(0x1234_5678);
if cfg!(target_endian = "little") {
    assert_eq!(Fix::from_le(f), f);
} else {
    assert_eq!(Fix::from_le(f), f.swap_bytes());
}

pub const fn to_be(self) -> FixedI32<Frac>

Converts self to big endian from the target’s endianness.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let f = Fix::from_bits(0x1234_5678);
if cfg!(target_endian = "big") {
    assert_eq!(f.to_be(), f);
} else {
    assert_eq!(f.to_be(), f.swap_bytes());
}

pub const fn to_le(self) -> FixedI32<Frac>

Converts self to little endian from the target’s endianness.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let f = Fix::from_bits(0x1234_5678);
if cfg!(target_endian = "little") {
    assert_eq!(f.to_le(), f);
} else {
    assert_eq!(f.to_le(), f.swap_bytes());
}

pub const fn swap_bytes(self) -> FixedI32<Frac>

Reverses the byte order of the fixed-point number.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let f = Fix::from_bits(0x1234_5678);
let swapped = Fix::from_bits(0x7856_3412);
assert_eq!(f.swap_bytes(), swapped);

pub const fn from_be_bytes(bytes: [u8; 4]) -> FixedI32<Frac>

Creates a fixed-point number from its representation as a byte array in big endian.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(
    Fix::from_be_bytes([0x12, 0x34, 0x56, 0x78]),
    Fix::from_bits(0x1234_5678)
);

pub const fn from_le_bytes(bytes: [u8; 4]) -> FixedI32<Frac>

Creates a fixed-point number from its representation as a byte array in little endian.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(
    Fix::from_le_bytes([0x78, 0x56, 0x34, 0x12]),
    Fix::from_bits(0x1234_5678)
);

pub const fn from_ne_bytes(bytes: [u8; 4]) -> FixedI32<Frac>

Creates a fixed-point number from its representation as a byte array in native endian.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(
    if cfg!(target_endian = "big") {
        Fix::from_ne_bytes([0x12, 0x34, 0x56, 0x78])
    } else {
        Fix::from_ne_bytes([0x78, 0x56, 0x34, 0x12])
    },
    Fix::from_bits(0x1234_5678)
);

pub const fn to_be_bytes(self) -> [u8; 4]

Returns the memory representation of this fixed-point number as a byte array in big-endian byte order.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let val = Fix::from_bits(0x1234_5678);
assert_eq!(
    val.to_be_bytes(),
    [0x12, 0x34, 0x56, 0x78]
);

pub const fn to_le_bytes(self) -> [u8; 4]

Returns the memory representation of this fixed-point number as a byte array in little-endian byte order.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let val = Fix::from_bits(0x1234_5678);
assert_eq!(
    val.to_le_bytes(),
    [0x78, 0x56, 0x34, 0x12]
);

pub const fn to_ne_bytes(self) -> [u8; 4]

Returns the memory representation of this fixed-point number as a byte array in native byte order.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let val = Fix::from_bits(0x1234_5678);
assert_eq!(
    val.to_ne_bytes(),
    if cfg!(target_endian = "big") {
        [0x12, 0x34, 0x56, 0x78]
    } else {
        [0x78, 0x56, 0x34, 0x12]
    }
);

pub const fn count_ones(self) -> u32

Returns the number of ones in the binary representation.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let f = Fix::from_bits(0b11_0010);
assert_eq!(f.count_ones(), 3);

pub const fn count_zeros(self) -> u32

Returns the number of zeros in the binary representation.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let f = Fix::from_bits(!0b11_0010);
assert_eq!(f.count_zeros(), 3);

pub const fn leading_ones(self) -> u32

Returns the number of leading ones in the binary representation.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let all_ones = !Fix::ZERO;
let f = all_ones - Fix::from_bits(0b10_0000);
assert_eq!(f.leading_ones(), 32 - 6);

pub const fn leading_zeros(self) -> u32

Returns the number of leading zeros in the binary representation.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let f = Fix::from_bits(0b10_0000);
assert_eq!(f.leading_zeros(), 32 - 6);

pub const fn trailing_ones(self) -> u32

Returns the number of trailing ones in the binary representation.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let f = Fix::from_bits(0b101_1111);
assert_eq!(f.trailing_ones(), 5);

pub const fn trailing_zeros(self) -> u32

Returns the number of trailing zeros in the binary representation.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let f = Fix::from_bits(0b10_0000);
assert_eq!(f.trailing_zeros(), 5);

pub const fn signed_bits(self) -> u32

Returns the number of bits required to represent the value.

The number of bits required includes an initial one for negative numbers, and an initial zero for non-negative numbers.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(-3).signed_bits(), 7);      // “_101.0000”
assert_eq!(Fix::from_num(-1).signed_bits(), 5);      // “___1.0000”
assert_eq!(Fix::from_num(-0.0625).signed_bits(), 1); // “____.___1”
assert_eq!(Fix::from_num(0).signed_bits(), 1);       // “____.___0”
assert_eq!(Fix::from_num(0.0625).signed_bits(), 2);  // “____.__01”
assert_eq!(Fix::from_num(1).signed_bits(), 6);       // “__01.0000”
assert_eq!(Fix::from_num(3).signed_bits(), 7);       // “_011.0000”

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn reverse_bits(self) -> FixedI32<Frac>

Reverses the order of the bits of the fixed-point number.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let bits = 0x1234_5678_i32;
let rev_bits = bits.reverse_bits();
assert_eq!(Fix::from_bits(bits).reverse_bits(), Fix::from_bits(rev_bits));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn rotate_left(self, n: u32) -> FixedI32<Frac>

Shifts to the left by n bits, wrapping the truncated bits to the right end.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let bits: i32 = (0b111 << (32 - 3)) | 0b1010;
let rot = 0b1010111;
assert_eq!(bits.rotate_left(3), rot);
assert_eq!(Fix::from_bits(bits).rotate_left(3), Fix::from_bits(rot));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn rotate_right(self, n: u32) -> FixedI32<Frac>

Shifts to the right by n bits, wrapping the truncated bits to the left end.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let bits: i32 = 0b1010111;
let rot = (0b111 << (32 - 3)) | 0b1010;
assert_eq!(bits.rotate_right(3), rot);
assert_eq!(Fix::from_bits(bits).rotate_right(3), Fix::from_bits(rot));

pub const fn is_zero(self) -> bool

Returns true if the number is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert!(Fix::ZERO.is_zero());
assert!(!Fix::from_num(5).is_zero());

pub const fn is_positive(self) -> bool

Returns true if the number is > 0.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert!(Fix::from_num(5).is_positive());
assert!(!Fix::ZERO.is_positive());
assert!(!Fix::from_num(-5).is_positive());

pub const fn is_negative(self) -> bool

Returns true if the number is < 0.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert!(!Fix::from_num(5).is_negative());
assert!(!Fix::ZERO.is_negative());
assert!(Fix::from_num(-5).is_negative());

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn wide_mul<RhsFrac>(
    self,
    rhs: FixedI32<RhsFrac>
) -> FixedI64<Sum<Frac, RhsFrac>> where
    Frac: Add<RhsFrac>, 

Multiplies two fixed-point numbers and returns a wider type to retain all precision.

If self has f fractional bits and 32 − f integer bits, and rhs has g fractional bits and 32 − g integer bits, then the returned fixed-point number will have f + g fractional bits and 64 − f − g integer bits.

Examples

use fixed::{
    types::extra::{U2, U4},
    FixedI32,
};
// decimal: 1.25 × 1.0625 = 1.328_125
// binary: 1.01 × 1.0001 == 1.010101
let a = FixedI32::<U2>::from_num(1.25);
let b = FixedI32::<U4>::from_num(1.0625);
assert_eq!(a.wide_mul(b), 1.328_125);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn mul_add<MulFrac: LeEqU32>(
    self,
    mul: FixedI32<MulFrac>,
    add: FixedI32<Frac>
) -> FixedI32<Frac>

Multiply and add. Returns self × mul + add.

For some cases, the product self × mul would overflow on its own, but the final result self × mul + add is representable; in these cases this method returns the correct result without overflow.

The mul parameter can have a fixed-point type like self but with a different number of fractional bits.

Panics

When debug assertions are enabled, this method panics if the result overflows. When debug assertions are not enabled, the wrapped value can be returned, but it is not considered a breaking change if in the future it panics; if wrapping is required use wrapping_mul_add instead.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(
    Fix::from_num(4).mul_add(Fix::from_num(0.5), Fix::from_num(3)),
    Fix::from_num(5)
);
// MAX × 1.5 − MAX = MAX / 2, which does not overflow
assert_eq!(Fix::MAX.mul_add(Fix::from_num(1.5), -Fix::MAX), Fix::MAX / 2);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn rem_euclid(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Remainder for Euclidean division.

Panics

Panics if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(7.5).rem_euclid(Fix::from_num(2)), Fix::from_num(1.5));
assert_eq!(Fix::from_num(-7.5).rem_euclid(Fix::from_num(2)), Fix::from_num(0.5));

pub const fn abs(self) -> FixedI32<Frac>

Returns the absolute value.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let five = Fix::from_num(5);
let minus_five = Fix::from_num(-5);
assert_eq!(five.abs(), five);
assert_eq!(minus_five.abs(), five);

pub const fn unsigned_abs(self) -> FixedU32<Frac>

Returns the absolute value using an unsigned type without any wrapping or panicking.

Examples

use fixed::{types::extra::U4, FixedI32, FixedU32};
type Fix = FixedI32<U4>;
type UFix = FixedU32<U4>;
assert_eq!(Fix::from_num(-5).unsigned_abs(), UFix::from_num(5));
// min_as_unsigned has only highest bit set
let min_as_unsigned = UFix::ONE << (UFix::INT_NBITS - 1);
assert_eq!(Fix::MIN.unsigned_abs(), min_as_unsigned);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn dist(self, other: FixedI32<Frac>) -> FixedI32<Frac>

Returns the distance from self to other.

The distance is the absolute value of the difference.

Panics

When debug assertions are enabled, this method panics if the result overflows. When debug assertions are not enabled, the wrapped value can be returned, but it is not considered a breaking change if in the future it panics; if wrapping is required use wrapping_dist instead.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::ONE.dist(Fix::from_num(5)), Fix::from_num(4));
assert_eq!(Fix::from_num(-1).dist(Fix::from_num(2)), Fix::from_num(3));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn unsigned_dist(self, other: FixedI32<Frac>) -> FixedU32<Frac>

Returns the distance from self to other using an unsigned type without any wrapping or panicking.

The distance is the absolute value of the difference.

Examples

use fixed::{types::extra::U4, FixedI32, FixedU32};
type Fix = FixedI32<U4>;
type UFix = FixedU32<U4>;
assert_eq!(Fix::from_num(-1).unsigned_dist(Fix::from_num(2)), UFix::from_num(3));
assert_eq!(Fix::MIN.unsigned_dist(Fix::MAX), UFix::MAX);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn mean(self, other: FixedI32<Frac>) -> FixedI32<Frac>

Returns the mean of self and other.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(3).mean(Fix::from_num(4)), Fix::from_num(3.5));
assert_eq!(Fix::from_num(-3).mean(Fix::from_num(4)), Fix::from_num(0.5));

pub const fn const_not(self) -> FixedI32<Frac>

Bitwise NOT. Usable in constant context.

This is equivalent to the ! operator and Not::not, but can also be used in constant context. Unless required in constant context, use the operator or trait instead.

Planned deprecation

This method will be deprecated when the ! operator and the Not trait are usable in constant context.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
const A: Fix = Fix::from_bits(0x3E);
const NOT_A: Fix = A.const_not();
assert_eq!(NOT_A, !A);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn const_bitand(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Bitwise AND. Usable in constant context.

This is equivalent to the & operator and BitAnd::bitand, but can also be used in constant context. Unless required in constant context, use the operator or trait instead.

Planned deprecation

This method will be deprecated when the & operator and the BitAnd trait are usable in constant context.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
const A: Fix = Fix::from_bits(0x3E);
const B: Fix = Fix::from_bits(0x55);
const A_BITAND_B: Fix = A.const_bitand(B);
assert_eq!(A_BITAND_B, A & B);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn const_bitor(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Bitwise OR. Usable in constant context.

This is equivalent to the | operator and BitOr::bitor, but can also be used in constant context. Unless required in constant context, use the operator or trait instead.

Planned deprecation

This method will be deprecated when the | operator and the BitOr trait are usable in constant context.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
const A: Fix = Fix::from_bits(0x3E);
const B: Fix = Fix::from_bits(0x55);
const A_BITOR_B: Fix = A.const_bitor(B);
assert_eq!(A_BITOR_B, A | B);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn const_bitxor(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Bitwise XOR. Usable in constant context.

This is equivalent to the ^ operator and BitXor::bitxor, but can also be used in constant context. Unless required in constant context, use the operator or trait instead.

Planned deprecation

This method will be deprecated when the ^ operator and the BitXor trait are usable in constant context.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
const A: Fix = Fix::from_bits(0x3E);
const B: Fix = Fix::from_bits(0x55);
const A_BITXOR_B: Fix = A.const_bitxor(B);
assert_eq!(A_BITXOR_B, A ^ B);

pub const fn checked_neg(self) -> Option<FixedI32<Frac>>

Checked negation. Returns the negated value, or None on overflow.

Overflow can only occur when negating the minimum value.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(5).checked_neg(), Some(Fix::from_num(-5)));
assert_eq!(Fix::MIN.checked_neg(), None);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn checked_add(self, rhs: FixedI32<Frac>) -> Option<FixedI32<Frac>>

Checked addition. Returns the sum, or None on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!((Fix::MAX - Fix::ONE).checked_add(Fix::ONE), Some(Fix::MAX));
assert_eq!(Fix::MAX.checked_add(Fix::ONE), None);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn checked_sub(self, rhs: FixedI32<Frac>) -> Option<FixedI32<Frac>>

Checked subtraction. Returns the difference, or None on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!((Fix::MIN + Fix::ONE).checked_sub(Fix::ONE), Some(Fix::MIN));
assert_eq!(Fix::MIN.checked_sub(Fix::ONE), None);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn checked_rem(self, rhs: FixedI32<Frac>) -> Option<FixedI32<Frac>>

Checked remainder. Returns the remainder, or None if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(1.5).checked_rem(Fix::ONE), Some(Fix::from_num(0.5)));
assert_eq!(Fix::from_num(1.5).checked_rem(Fix::ZERO), None);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn checked_mul_add<MulFrac: LeEqU32>(
    self,
    mul: FixedI32<MulFrac>,
    add: FixedI32<Frac>
) -> Option<FixedI32<Frac>>

Checked multiply and add. Returns self × mul + add, or None on overflow.

For some cases, the product self × mul would overflow on its own, but the final result self × mul + add is representable; in these cases this method returns the correct result without overflow.

The mul parameter can have a fixed-point type like self but with a different number of fractional bits.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(
    Fix::from_num(4).checked_mul_add(Fix::from_num(0.5), Fix::from_num(3)),
    Some(Fix::from_num(5))
);
assert_eq!(Fix::MAX.checked_mul_add(Fix::ONE, Fix::ZERO), Some(Fix::MAX));
assert_eq!(Fix::MAX.checked_mul_add(Fix::ONE, Fix::DELTA), None);
// MAX × 1.5 − MAX = MAX / 2, which does not overflow
assert_eq!(Fix::MAX.checked_mul_add(Fix::from_num(1.5), -Fix::MAX), Some(Fix::MAX / 2));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn checked_mul_int(self, rhs: i32) -> Option<FixedI32<Frac>>

Checked multiplication by an integer. Returns the product, or None on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::MAX.checked_mul_int(1), Some(Fix::MAX));
assert_eq!(Fix::MAX.checked_mul_int(2), None);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn checked_div_int(self, rhs: i32) -> Option<FixedI32<Frac>>

Checked division by an integer. Returns the quotient, or None if the divisor is zero or if the division results in overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::MAX.checked_div_int(1), Some(Fix::MAX));
assert_eq!(Fix::ONE.checked_div_int(0), None);
assert_eq!(Fix::MIN.checked_div_int(-1), None);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn checked_rem_euclid(
    self,
    rhs: FixedI32<Frac>
) -> Option<FixedI32<Frac>>

Checked remainder for Euclidean division. Returns the remainder, or None if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let num = Fix::from_num(7.5);
assert_eq!(num.checked_rem_euclid(Fix::from_num(2)), Some(Fix::from_num(1.5)));
assert_eq!(num.checked_rem_euclid(Fix::ZERO), None);
assert_eq!((-num).checked_rem_euclid(Fix::from_num(2)), Some(Fix::from_num(0.5)));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn checked_shl(self, rhs: u32) -> Option<FixedI32<Frac>>

Checked shift left. Returns the shifted number, or None if rhs ≥ 32.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!((Fix::ONE / 2).checked_shl(3), Some(Fix::from_num(4)));
assert_eq!((Fix::ONE / 2).checked_shl(32), None);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn checked_shr(self, rhs: u32) -> Option<FixedI32<Frac>>

Checked shift right. Returns the shifted number, or None if rhs ≥ 32.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(4).checked_shr(3), Some(Fix::ONE / 2));
assert_eq!(Fix::from_num(4).checked_shr(32), None);

pub const fn checked_abs(self) -> Option<FixedI32<Frac>>

Checked absolute value. Returns the absolute value, or None on overflow.

Overflow can only occur when trying to find the absolute value of the minimum value.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(-5).checked_abs(), Some(Fix::from_num(5)));
assert_eq!(Fix::MIN.checked_abs(), None);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn checked_dist(self, other: FixedI32<Frac>) -> Option<FixedI32<Frac>>

Checked distance. Returns the distance from self to other, or None on overflow.

The distance is the absolute value of the difference.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::ONE.checked_dist(Fix::from_num(5)), Some(Fix::from_num(4)));
assert_eq!(Fix::MIN.checked_dist(Fix::ZERO), None);

pub const fn saturating_neg(self) -> FixedI32<Frac>

Saturating negation. Returns the negated value, saturating on overflow.

Overflow can only occur when negating the minimum value.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(5).saturating_neg(), Fix::from_num(-5));
assert_eq!(Fix::MIN.saturating_neg(), Fix::MAX);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn saturating_add(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Saturating addition. Returns the sum, saturating on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(3).saturating_add(Fix::from_num(2)), Fix::from_num(5));
assert_eq!(Fix::MAX.saturating_add(Fix::ONE), Fix::MAX);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn saturating_sub(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Saturating subtraction. Returns the difference, saturating on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::ONE.saturating_sub(Fix::from_num(3)), Fix::from_num(-2));
assert_eq!(Fix::MIN.saturating_sub(Fix::ONE), Fix::MIN);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn saturating_mul_add<MulFrac: LeEqU32>(
    self,
    mul: FixedI32<MulFrac>,
    add: FixedI32<Frac>
) -> FixedI32<Frac>

Saturating multiply and add. Returns self × mul + add, saturating on overflow.

For some cases, the product self × mul would overflow on its own, but the final result self × mul + add is representable; in these cases this method returns the correct result without overflow.

The mul parameter can have a fixed-point type like self but with a different number of fractional bits.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(
    Fix::from_num(4).saturating_mul_add(Fix::from_num(0.5), Fix::from_num(3)),
    Fix::from_num(5)
);
let half_max = Fix::MAX / 2;
assert_eq!(half_max.saturating_mul_add(Fix::from_num(3), half_max), Fix::MAX);
assert_eq!(half_max.saturating_mul_add(Fix::from_num(-5), half_max), Fix::MIN);
// MAX × 1.5 − MAX = MAX / 2, which does not overflow
assert_eq!(Fix::MAX.saturating_mul_add(Fix::from_num(1.5), -Fix::MAX), half_max);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn saturating_mul_int(self, rhs: i32) -> FixedI32<Frac>

Saturating multiplication by an integer. Returns the product, saturating on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(3).saturating_mul_int(2), Fix::from_num(6));
assert_eq!(Fix::MAX.saturating_mul_int(2), Fix::MAX);

pub const fn saturating_abs(self) -> FixedI32<Frac>

Saturating absolute value. Returns the absolute value, saturating on overflow.

Overflow can only occur when trying to find the absolute value of the minimum value.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(-5).saturating_abs(), Fix::from_num(5));
assert_eq!(Fix::MIN.saturating_abs(), Fix::MAX);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn saturating_dist(self, other: FixedI32<Frac>) -> FixedI32<Frac>

Saturating distance. Returns the distance from self to other, saturating on overflow.

The distance is the absolute value of the difference.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::ONE.saturating_dist(Fix::from_num(5)), Fix::from_num(4));
assert_eq!(Fix::MIN.saturating_dist(Fix::MAX), Fix::MAX);

pub const fn wrapping_neg(self) -> FixedI32<Frac>

Wrapping negation. Returns the negated value, wrapping on overflow.

Overflow can only occur when negating the minimum value.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(5).wrapping_neg(), Fix::from_num(-5));
assert_eq!(Fix::MIN.wrapping_neg(), Fix::MIN);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn wrapping_add(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Wrapping addition. Returns the sum, wrapping on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let one_minus_delta = Fix::ONE - Fix::DELTA;
assert_eq!(Fix::from_num(3).wrapping_add(Fix::from_num(2)), Fix::from_num(5));
assert_eq!(Fix::MAX.wrapping_add(Fix::ONE), Fix::MIN + one_minus_delta);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn wrapping_sub(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Wrapping subtraction. Returns the difference, wrapping on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let one_minus_delta = Fix::ONE - Fix::DELTA;
assert_eq!(Fix::from_num(3).wrapping_sub(Fix::from_num(5)), Fix::from_num(-2));
assert_eq!(Fix::MIN.wrapping_sub(Fix::ONE), Fix::MAX - one_minus_delta);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn wrapping_mul_add<MulFrac: LeEqU32>(
    self,
    mul: FixedI32<MulFrac>,
    add: FixedI32<Frac>
) -> FixedI32<Frac>

Wrapping multiply and add. Returns self × mul + add, wrapping on overflow.

The mul parameter can have a fixed-point type like self but with a different number of fractional bits.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(
    Fix::from_num(4).wrapping_mul_add(Fix::from_num(0.5), Fix::from_num(3)),
    Fix::from_num(5)
);
assert_eq!(Fix::MAX.wrapping_mul_add(Fix::ONE, Fix::from_num(0)), Fix::MAX);
assert_eq!(Fix::MAX.wrapping_mul_add(Fix::ONE, Fix::from_bits(1)), Fix::MIN);
let wrapped = Fix::MAX.wrapping_mul_int(4);
assert_eq!(Fix::MAX.wrapping_mul_add(Fix::from_num(3), Fix::MAX), wrapped);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn wrapping_mul_int(self, rhs: i32) -> FixedI32<Frac>

Wrapping multiplication by an integer. Returns the product, wrapping on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(3).wrapping_mul_int(2), Fix::from_num(6));
let wrapped = Fix::from_bits(!0 << 2);
assert_eq!(Fix::MAX.wrapping_mul_int(4), wrapped);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn wrapping_div_int(self, rhs: i32) -> FixedI32<Frac>

Wrapping division by an integer. Returns the quotient, wrapping on overflow.

Overflow can only occur when dividing the minimum value by −1.

Panics

Panics if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
// 1.5 is binary 1.1
let one_point_5 = Fix::from_bits(0b11 << (4 - 1));
assert_eq!(Fix::from_num(3).wrapping_div_int(2), one_point_5);
assert_eq!(Fix::MIN.wrapping_div_int(-1), Fix::MIN);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn wrapping_shl(self, rhs: u32) -> FixedI32<Frac>

Wrapping shift left. Wraps rhs if rhs ≥ 32, then shifts and returns the number.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!((Fix::ONE / 2).wrapping_shl(3), Fix::from_num(4));
assert_eq!((Fix::ONE / 2).wrapping_shl(3 + 32), Fix::from_num(4));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn wrapping_shr(self, rhs: u32) -> FixedI32<Frac>

Wrapping shift right. Wraps rhs if rhs ≥ 32, then shifts and returns the number.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!((Fix::from_num(4)).wrapping_shr(3), Fix::ONE / 2);
assert_eq!((Fix::from_num(4)).wrapping_shr(3 + 32), Fix::ONE / 2);

pub const fn wrapping_abs(self) -> FixedI32<Frac>

Wrapping absolute value. Returns the absolute value, wrapping on overflow.

Overflow can only occur when trying to find the absolute value of the minimum value.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(-5).wrapping_abs(), Fix::from_num(5));
assert_eq!(Fix::MIN.wrapping_abs(), Fix::MIN);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn wrapping_dist(self, other: FixedI32<Frac>) -> FixedI32<Frac>

Wrapping distance. Returns the distance from self to other, wrapping on overflow.

The distance is the absolute value of the difference.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::ONE.wrapping_dist(Fix::from_num(5)), Fix::from_num(4));
assert_eq!(Fix::MIN.wrapping_dist(Fix::MAX), -Fix::DELTA);

pub fn unwrapped_neg(self) -> FixedI32<Frac>

Unwrapped negation. Returns the negated value, panicking on overflow.

Overflow can only occur when negating the minimum value.

Panics

Panics if the result does not fit.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(5).unwrapped_neg(), Fix::from_num(-5));

The following panics because of overflow.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _overflow = Fix::MIN.unwrapped_neg();

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn unwrapped_add(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Unwrapped addition. Returns the sum, panicking on overflow.

Panics

Panics if the result does not fit.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(3).unwrapped_add(Fix::from_num(2)), Fix::from_num(5));

The following panics because of overflow.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _overflow = Fix::MAX.unwrapped_add(Fix::DELTA);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn unwrapped_sub(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Unwrapped subtraction. Returns the difference, panicking on overflow.

Panics

Panics if the result does not fit.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(3).unwrapped_sub(Fix::from_num(5)), Fix::from_num(-2));

The following panics because of overflow.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _overflow = Fix::MIN.unwrapped_sub(Fix::DELTA);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn unwrapped_rem(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Unwrapped remainder. Returns the remainder, panicking if the divisor is zero.

Panics

Panics if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(1.5).unwrapped_rem(Fix::ONE), Fix::from_num(0.5));

The following panics because the divisor is zero.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _divisor_is_zero = Fix::from_num(1.5).unwrapped_rem(Fix::ZERO);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn unwrapped_mul_add<MulFrac: LeEqU32>(
    self,
    mul: FixedI32<MulFrac>,
    add: FixedI32<Frac>
) -> FixedI32<Frac>

Unwrapped multiply and add. Returns self × mul + add, panicking on overflow.

For some cases, the product self × mul would overflow on its own, but the final result self × mul + add is representable; in these cases this method returns the correct result without overflow.

The mul parameter can have a fixed-point type like self but with a different number of fractional bits.

Panics

Panics if the result does not fit.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(
    Fix::from_num(4).unwrapped_mul_add(Fix::from_num(0.5), Fix::from_num(3)),
    Fix::from_num(5)
);
// MAX × 1.5 − MAX = MAX / 2, which does not overflow
assert_eq!(Fix::MAX.unwrapped_mul_add(Fix::from_num(1.5), -Fix::MAX), Fix::MAX / 2);

The following panics because of overflow.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _overflow = Fix::MAX.unwrapped_mul_add(Fix::ONE, Fix::DELTA);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn unwrapped_mul_int(self, rhs: i32) -> FixedI32<Frac>

Unwrapped multiplication by an integer. Returns the product, panicking on overflow.

Panics

Panics if the result does not fit.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(3).unwrapped_mul_int(2), Fix::from_num(6));

The following panics because of overflow.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _overflow = Fix::MAX.unwrapped_mul_int(4);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn unwrapped_div_int(self, rhs: i32) -> FixedI32<Frac>

Unwrapped division by an integer. Returns the quotient, panicking on overflow.

Overflow can only occur when dividing the minimum value by −1.

Panics

Panics if the divisor is zero or if the division results in overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
// 1.5 is binary 1.1
let one_point_5 = Fix::from_bits(0b11 << (4 - 1));
assert_eq!(Fix::from_num(3).unwrapped_div_int(2), one_point_5);

The following panics because the divisor is zero.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _divisor_is_zero = Fix::from_num(3).unwrapped_div_int(0);

The following panics because of overflow.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _overflow = Fix::MIN.unwrapped_div_int(-1);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn unwrapped_rem_euclid(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Unwrapped remainder for Euclidean division. Returns the remainder, panicking if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let num = Fix::from_num(7.5);
assert_eq!(num.unwrapped_rem_euclid(Fix::from_num(2)), Fix::from_num(1.5));

The following panics because the divisor is zero.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _divisor_is_zero = Fix::from_num(3).unwrapped_rem_euclid(Fix::ZERO);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn unwrapped_shl(self, rhs: u32) -> FixedI32<Frac>

Unwrapped shift left. Panics if rhs ≥ 32.

Panics

Panics if rhs ≥ 32.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!((Fix::ONE / 2).unwrapped_shl(3), Fix::from_num(4));

The following panics because of overflow.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _overflow = Fix::ONE.unwrapped_shl(32);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn unwrapped_shr(self, rhs: u32) -> FixedI32<Frac>

Unwrapped shift right. Panics if rhs ≥ 32.

Panics

Panics if rhs ≥ 32.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!((Fix::from_num(4)).unwrapped_shr(3), Fix::ONE / 2);

The following panics because of overflow.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _overflow = Fix::ONE.unwrapped_shr(32);

pub fn unwrapped_abs(self) -> FixedI32<Frac>

Unwrapped absolute value. Returns the absolute value, panicking on overflow.

Overflow can only occur when trying to find the absolute value of the minimum value.

Panics

Panics if the result does not fit.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(-5).unwrapped_abs(), Fix::from_num(5));

The following panics because of overflow.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _overflow = Fix::MIN.unwrapped_abs();

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn unwrapped_dist(self, other: FixedI32<Frac>) -> FixedI32<Frac>

Unwrapped distance. Returns the distance from self to other, panicking on overflow.

The distance is the absolute value of the difference.

Panics

Panics if the result does not fit.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::ONE.unwrapped_dist(Fix::from_num(5)), Fix::from_num(4));

The following panics because of overflow.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _overflow = Fix::MIN.unwrapped_dist(Fix::ZERO);

pub const fn overflowing_neg(self) -> (FixedI32<Frac>, bool)

Overflowing negation.

Returns a tuple of the negated value and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Overflow can only occur when negating the minimum value.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(5).overflowing_neg(), (Fix::from_num(-5), false));
assert_eq!(Fix::MIN.overflowing_neg(), (Fix::MIN, true));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn overflowing_add(
    self,
    rhs: FixedI32<Frac>
) -> (FixedI32<Frac>, bool)

Overflowing addition.

Returns a tuple of the sum and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let one_minus_delta = Fix::ONE - Fix::DELTA;
assert_eq!(Fix::from_num(3).overflowing_add(Fix::from_num(2)), (Fix::from_num(5), false));
assert_eq!(Fix::MAX.overflowing_add(Fix::ONE), (Fix::MIN + one_minus_delta, true));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn overflowing_sub(
    self,
    rhs: FixedI32<Frac>
) -> (FixedI32<Frac>, bool)

Overflowing subtraction.

Returns a tuple of the difference and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let one_minus_delta = Fix::ONE - Fix::DELTA;
assert_eq!(Fix::from_num(3).overflowing_sub(Fix::from_num(5)), (Fix::from_num(-2), false));
assert_eq!(Fix::MIN.overflowing_sub(Fix::ONE), (Fix::MAX - one_minus_delta, true));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn overflowing_mul_add<MulFrac: LeEqU32>(
    self,
    mul: FixedI32<MulFrac>,
    add: FixedI32<Frac>
) -> (FixedI32<Frac>, bool)

Overflowing multiply and add.

Returns a tuple of self × mul + add and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

For some cases, the product self × mul would overflow on its own, but the final result self × mul + add is representable; in these cases this method returns the correct result without overflow.

The mul parameter can have a fixed-point type like self but with a different number of fractional bits.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(
    Fix::MAX.overflowing_mul_add(Fix::ONE, Fix::ZERO),
    (Fix::MAX, false)
);
assert_eq!(
    Fix::MAX.overflowing_mul_add(Fix::ONE, Fix::DELTA),
    (Fix::MIN, true)
);
assert_eq!(
    Fix::MAX.overflowing_mul_add(Fix::from_num(3), Fix::MAX),
    Fix::MAX.overflowing_mul_int(4)
);
// MAX × 1.5 − MAX = MAX / 2, which does not overflow
assert_eq!(
    Fix::MAX.overflowing_mul_add(Fix::from_num(1.5), -Fix::MAX),
    (Fix::MAX / 2, false)
);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn overflowing_mul_int(self, rhs: i32) -> (FixedI32<Frac>, bool)

Overflowing multiplication by an integer.

Returns a tuple of the product and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(3).overflowing_mul_int(2), (Fix::from_num(6), false));
let wrapped = Fix::from_bits(!0 << 2);
assert_eq!(Fix::MAX.overflowing_mul_int(4), (wrapped, true));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn overflowing_div_int(self, rhs: i32) -> (FixedI32<Frac>, bool)

Overflowing division by an integer.

Returns a tuple of the quotient and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned. Overflow can only occur when dividing the minimum value by −1.

Panics

Panics if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
// 1.5 is binary 1.1
let one_point_5 = Fix::from_bits(0b11 << (4 - 1));
assert_eq!(Fix::from_num(3).overflowing_div_int(2), (one_point_5, false));
assert_eq!(Fix::MIN.overflowing_div_int(-1), (Fix::MIN, true));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn overflowing_shl(self, rhs: u32) -> (FixedI32<Frac>, bool)

Overflowing shift left.

Returns a tuple of the shifted value and a bool indicating whether an overflow has occurred. Overflow occurs when rhs ≥ 32. On overflow rhs is wrapped before the shift operation.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!((Fix::ONE / 2).overflowing_shl(3), (Fix::from_num(4), false));
assert_eq!((Fix::ONE / 2).overflowing_shl(3 + 32), (Fix::from_num(4), true));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn overflowing_shr(self, rhs: u32) -> (FixedI32<Frac>, bool)

Overflowing shift right.

Returns a tuple of the shifted value and a bool indicating whether an overflow has occurred. Overflow occurs when rhs ≥ 32. On overflow rhs is wrapped before the shift operation.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!((Fix::from_num(4)).overflowing_shr(3), (Fix::ONE / 2, false));
assert_eq!((Fix::from_num(4)).overflowing_shr(3 + 32), (Fix::ONE / 2, true));

pub const fn overflowing_abs(self) -> (FixedI32<Frac>, bool)

Overflowing absolute value.

Returns a tuple of the absolute value and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Overflow can only occur when trying to find the absolute value of the minimum value.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(-5).overflowing_abs(), (Fix::from_num(5), false));
assert_eq!(Fix::MIN.overflowing_abs(), (Fix::MIN, true));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub const fn overflowing_dist(
    self,
    other: FixedI32<Frac>
) -> (FixedI32<Frac>, bool)

Overflowing distance.

Returns a tuple of the distance from self to other and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

The distance is the absolute value of the difference.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(
    Fix::ONE.overflowing_dist(Fix::from_num(5)),
    (Fix::from_num(4), false)
);
assert_eq!(
    Fix::MIN.overflowing_dist(Fix::MAX),
    (-Fix::DELTA, true)
);

impl<Frac: LeEqU32> FixedI32<Frac>

The implementation of items in this block depends on the number of fractional bits Frac.

pub const INT_NBITS: u32

The number of integer bits.

Examples

use fixed::{types::extra::U6, FixedI32};
type Fix = FixedI32<U6>;
assert_eq!(Fix::INT_NBITS, 32 - 6);

pub const FRAC_NBITS: u32

The number of fractional bits.

Examples

use fixed::{types::extra::U6, FixedI32};
type Fix = FixedI32<U6>;
assert_eq!(Fix::FRAC_NBITS, 6);

pub fn from_num<Src: ToFixed>(src: Src) -> FixedI32<Frac>

Creates a fixed-point number from another number.

The other number can be:

• Another fixed-point number. Any extra fractional bits are discarded, which rounds towards −∞.
• An integer of type i8, i16, i32, i64, i128, isize, u8, u16, u32, u64, u128, or usize.
• A floating-point number of type f16, bf16, f32, f64 or F128Bits. For this conversion, the method rounds to the nearest, with ties rounding to even.
• Any other number src for which ToFixed is implemented, in which case this method returns src.to_fixed().

Panics

For floating-point numbers, panics if the value is not finite.

When debug assertions are enabled, panics if the value does not fit. When debug assertions are not enabled, the wrapped value can be returned, but it is not considered a breaking change if in the future it panics; if wrapping is required use wrapping_from_num instead.

Examples

use fixed::{types::extra::U4, types::I16F16, FixedI32};
type Fix = FixedI32<U4>;

// 1.75 is 1.11 in binary
let src = I16F16::from_bits(0b111 << (16 - 2));
assert_eq!(Fix::from_num(src), Fix::from_bits(0b111 << (4 - 2)));

assert_eq!(Fix::from_num(3i32), Fix::from_bits(3 << 4));
assert_eq!(Fix::from_num(-3i64), Fix::from_bits(-3 << 4));

assert_eq!(Fix::from_num(1.75f32), Fix::from_bits(0b111 << (4 - 2)));
assert_eq!(Fix::from_num(-1.75f64), Fix::from_bits(-0b111 << (4-2)));

pub fn to_num<Dst: FromFixed>(self) -> Dst

Converts a fixed-point number to another number.

The other number can be:

• Another fixed-point number. Any extra fractional bits are discarded, which rounds towards −∞.
• An integer of type i8, i16, i32, i64, i128, isize, u8, u16, u32, u64, u128, or usize. Any fractional bits are discarded, which rounds towards −∞.
• A floating-point number of type f16, bf16, f32, f64 or F128Bits. For this conversion, the method rounds to the nearest, with ties rounding to even.
• Any other type Dst for which FromFixed is implemented, in which case this method returns Dst::from_fixed(self).

Panics

When debug assertions are enabled, panics if the value does not fit. When debug assertions are not enabled, the wrapped value can be returned, but it is not considered a breaking change if in the future it panics; if wrapping is required use wrapping_to_num instead.

Examples

use fixed::{types::extra::U4, types::I30F2, FixedI32};
type Fix = FixedI32<U4>;

// 1.75 is 1.11 in binary
let src = Fix::from_bits(0b111 << (4 - 2));
assert_eq!(src.to_num::<I30F2>(), I30F2::from_bits(0b111));
// src >> 2 is 0.0111, which for I30F2 is truncated to 0.01
assert_eq!((src >> 2u32).to_num::<I30F2>(), I30F2::from_bits(0b1));

// 2.5 is 10.1 in binary
let two_point_5 = Fix::from_bits(0b101 << (4 - 1));
assert_eq!(two_point_5.to_num::<i32>(), 2);
assert_eq!((-two_point_5).to_num::<i64>(), -3);

// 1.625 is 1.101 in binary
let one_point_625 = Fix::from_bits(0b1101 << (4 - 3));
assert_eq!(one_point_625.to_num::<f32>(), 1.625f32);
assert_eq!((-one_point_625).to_num::<f64>(), -1.625f64);

pub fn checked_from_num<Src: ToFixed>(src: Src) -> Option<FixedI32<Frac>>

Creates a fixed-point number from another number if it fits, otherwise returns None.

The other number can be:

• Another fixed-point number. Any extra fractional bits are discarded, which rounds towards −∞.
• An integer of type i8, i16, i32, i64, i128, isize, u8, u16, u32, u64, u128, or usize.
• A floating-point number of type f16, bf16, f32, f64 or F128Bits. For this conversion, the method rounds to the nearest, with ties rounding to even.
• Any other number src for which ToFixed is implemented, in which case this method returns src.checked_to_fixed().

Examples

use fixed::{
    types::extra::{U2, U4},
    types::I16F16,
    FixedI32,
};
type Fix = FixedI32<U4>;

// 1.75 is 1.11 in binary
let src = I16F16::from_bits(0b111 << (16 - 2));
assert_eq!(Fix::checked_from_num(src), Some(Fix::from_bits(0b111 << (4 - 2))));
let too_large = FixedI32::<U2>::MAX;
assert!(Fix::checked_from_num(too_large).is_none());

assert_eq!(Fix::checked_from_num(3), Some(Fix::from_bits(3 << 4)));
let too_large = i32::MAX;
assert!(Fix::checked_from_num(too_large).is_none());
let too_small = i32::MIN;
assert!(Fix::checked_from_num(too_small).is_none());

// 1.75 is 1.11 in binary
let expected = Fix::from_bits(0b111 << (4 - 2));
assert_eq!(Fix::checked_from_num(1.75f32), Some(expected));
assert_eq!(Fix::checked_from_num(-1.75f64), Some(-expected));
assert!(Fix::checked_from_num(2e38).is_none());
assert!(Fix::checked_from_num(std::f64::NAN).is_none());

pub fn checked_to_num<Dst: FromFixed>(self) -> Option<Dst>

Converts a fixed-point number to another number if it fits, otherwise returns None.

The other number can be:

• Another fixed-point number. Any extra fractional bits are discarded, which rounds towards −∞.
• An integer of type i8, i16, i32, i64, i128, isize, u8, u16, u32, u64, u128, or usize. Any fractional bits are discarded, which rounds towards −∞.
• A floating-point number of type f16, bf16, f32, f64 or F128Bits. For this conversion, the method rounds to the nearest, with ties rounding to even.
• Any other type Dst for which FromFixed is implemented, in which case this method returns Dst::checked_from_fixed(self).

Examples

use fixed::{
    types::extra::{U0, U4, U6},
    types::I16F16,
    FixedI32,
};
type Fix = FixedI32<U4>;

// 1.75 is 1.11 in binary
let src = Fix::from_bits(0b111 << (4 - 2));
let expected = I16F16::from_bits(0b111 << (16 - 2));
assert_eq!(src.checked_to_num::<I16F16>(), Some(expected));
type TooFewIntBits = FixedI32<U6>;
assert!(Fix::MAX.checked_to_num::<TooFewIntBits>().is_none());

// 2.5 is 10.1 in binary
let two_point_5 = Fix::from_bits(0b101 << (4 - 1));
assert_eq!(two_point_5.checked_to_num::<i32>(), Some(2));
assert_eq!((-two_point_5).checked_to_num::<i64>(), Some(-3));
type AllInt = FixedI32<U0>;
assert!(AllInt::from_bits(-1).checked_to_num::<u32>().is_none());

// 1.625 is 1.101 in binary
let one_point_625 = Fix::from_bits(0b1101 << (4 - 3));
assert_eq!(one_point_625.checked_to_num::<f32>(), Some(1.625f32));

pub fn saturating_from_num<Src: ToFixed>(src: Src) -> FixedI32<Frac>

Creates a fixed-point number from another number, saturating if it does not fit.

The other number can be:

• Another fixed-point number. Any extra fractional bits are discarded, which rounds towards −∞.
• An integer of type i8, i16, i32, i64, i128, isize, u8, u16, u32, u64, u128, or usize.
• A floating-point number of type f16, bf16, f32, f64 or F128Bits. For this conversion, the method rounds to the nearest, with ties rounding to even.
• Any other number src for which ToFixed is implemented, in which case this method returns src.saturating_to_fixed().

Panics

This method panics if the value is a floating-point NaN.

Examples

use fixed::{
    types::extra::{U2, U4},
    types::I16F16,
    FixedI32,
};
type Fix = FixedI32<U4>;

// 1.75 is 1.11 in binary
let src = I16F16::from_bits(0b111 << (16 - 2));
assert_eq!(Fix::saturating_from_num(src), Fix::from_bits(0b111 << (4 - 2)));
let too_large = FixedI32::<U2>::MAX;
assert_eq!(Fix::saturating_from_num(too_large), Fix::MAX);

assert_eq!(Fix::saturating_from_num(3), Fix::from_bits(3 << 4));
let too_small = i32::MIN;
assert_eq!(Fix::saturating_from_num(too_small), Fix::MIN);

// 1.75 is 1.11 in binary
let expected = Fix::from_bits(0b111 << (4 - 2));
assert_eq!(Fix::saturating_from_num(1.75f32), expected);
assert_eq!(Fix::saturating_from_num(-1.75f64), -expected);
assert_eq!(Fix::saturating_from_num(2e38), Fix::MAX);
assert_eq!(Fix::saturating_from_num(std::f64::NEG_INFINITY), Fix::MIN);

pub fn saturating_to_num<Dst: FromFixed>(self) -> Dst

Converts a fixed-point number to another number, saturating the value if it does not fit.

The other number can be:

• Another fixed-point number. Any extra fractional bits are discarded, which rounds towards −∞.
• An integer of type i8, i16, i32, i64, i128, isize, u8, u16, u32, u64, u128, or usize. Any fractional bits are discarded, which rounds towards −∞.
• A floating-point number of type f16, bf16, f32, f64 or F128Bits. For this conversion, the method rounds to the nearest, with ties rounding to even.
• Any other type Dst for which FromFixed is implemented, in which case this method returns Dst::saturating_from_fixed(self).

Examples

use fixed::{
    types::extra::{U0, U4, U6},
    types::I16F16,
    FixedI32,
};
type Fix = FixedI32<U4>;

// 1.75 is 1.11 in binary
let src = Fix::from_bits(0b111 << (4 - 2));
let expected = I16F16::from_bits(0b111 << (16 - 2));
assert_eq!(src.saturating_to_num::<I16F16>(), expected);
type TooFewIntBits = FixedI32<U6>;
let saturated = Fix::MAX.saturating_to_num::<TooFewIntBits>();
assert_eq!(saturated, TooFewIntBits::MAX);

// 2.5 is 10.1 in binary
let two_point_5 = Fix::from_bits(0b101 << (4 - 1));
assert_eq!(two_point_5.saturating_to_num::<i32>(), 2);
type AllInt = FixedI32<U0>;
assert_eq!(AllInt::from_bits(-1).saturating_to_num::<u32>(), 0);

// 1.625 is 1.101 in binary
let one_point_625 = Fix::from_bits(0b1101 << (4 - 3));
assert_eq!(one_point_625.saturating_to_num::<f32>(), 1.625f32);

pub fn wrapping_from_num<Src: ToFixed>(src: Src) -> FixedI32<Frac>

Creates a fixed-point number from another number, wrapping the value on overflow.

The other number can be:

• Another fixed-point number. Any extra fractional bits are discarded, which rounds towards −∞.
• An integer of type i8, i16, i32, i64, i128, isize, u8, u16, u32, u64, u128, or usize.
• A floating-point number of type f16, bf16, f32, f64 or F128Bits. For this conversion, the method rounds to the nearest, with ties rounding to even.
• Any other number src for which ToFixed is implemented, in which case this method returns src.wrapping_to_fixed().

Panics

For floating-point numbers, panics if the value is not finite.

Examples

use fixed::{
    types::extra::{U0, U4},
    types::I16F16,
    FixedI32,
};
type Fix = FixedI32<U4>;

// 1.75 is 1.11 in binary
let src = I16F16::from_bits(0b111 << (16 - 2));
assert_eq!(Fix::wrapping_from_num(src), Fix::from_bits(0b111 << (4 - 2)));
// integer 0b1101 << (32 - 7) will wrap to fixed-point 1010...
let too_large = FixedI32::<U0>::from_bits(0b1101 << (32 - 7));
let wrapped = Fix::from_bits(0b1010 << (32 - 4));
assert_eq!(Fix::wrapping_from_num(too_large), wrapped);

// integer 0b1101 << (32 - 7) will wrap to fixed-point 1010...
let large: i32 = 0b1101 << (32 - 7);
let wrapped = Fix::from_bits(0b1010 << (32 - 4));
assert_eq!(Fix::wrapping_from_num(large), wrapped);

// 1.75 is 1.11 in binary
let expected = Fix::from_bits(0b111 << (4 - 2));
assert_eq!(Fix::wrapping_from_num(1.75f32), expected);
// 1.75 << (32 - 4) wraps to binary 11000...
let large = 1.75 * 2f32.powi(32 - 4);
let wrapped = Fix::from_bits(0b1100 << (32 - 4));
assert_eq!(Fix::wrapping_from_num(large), wrapped);

pub fn wrapping_to_num<Dst: FromFixed>(self) -> Dst

Converts a fixed-point number to another number, wrapping the value on overflow.

The other number can be:

• Another fixed-point number. Any extra fractional bits are discarded, which rounds towards −∞.
• An integer of type i8, i16, i32, i64, i128, isize, u8, u16, u32, u64, u128, or usize. Any fractional bits are discarded, which rounds towards −∞.
• A floating-point number of type f16, bf16, f32, f64 or F128Bits. For this conversion, the method rounds to the nearest, with ties rounding to even.
• Any other type Dst for which FromFixed is implemented, in which case this method returns Dst::wrapping_from_fixed(self).

Examples

use fixed::{
    types::extra::{U0, U4, U6},
    types::I16F16,
    FixedI32,
};
type Fix = FixedI32<U4>;

// 1.75 is 1.11 in binary
let src = Fix::from_bits(0b111 << (4 - 2));
let expected = I16F16::from_bits(0b111 << (16 - 2));
assert_eq!(src.wrapping_to_num::<I16F16>(), expected);
type TooFewIntBits = FixedI32<U6>;
let wrapped = TooFewIntBits::from_bits(Fix::MAX.to_bits() << 2);
assert_eq!(Fix::MAX.wrapping_to_num::<TooFewIntBits>(), wrapped);

// 2.5 is 10.1 in binary
let two_point_5 = Fix::from_bits(0b101 << (4 - 1));
assert_eq!(two_point_5.wrapping_to_num::<i32>(), 2);
type AllInt = FixedI32<U0>;
assert_eq!(AllInt::from_bits(-1).wrapping_to_num::<u32>(), u32::MAX);

// 1.625 is 1.101 in binary
let one_point_625 = Fix::from_bits(0b1101 << (4 - 3));
assert_eq!(one_point_625.wrapping_to_num::<f32>(), 1.625f32);

pub fn unwrapped_from_num<Src: ToFixed>(src: Src) -> FixedI32<Frac>

Creates a fixed-point number from another number, panicking on overflow.

The other number can be:

• Another fixed-point number. Any extra fractional bits are discarded, which rounds towards −∞.
• An integer of type i8, i16, i32, i64, i128, isize, u8, u16, u32, u64, u128, or usize.
• A floating-point number of type f16, bf16, f32, f64 or F128Bits. For this conversion, the method rounds to the nearest, with ties rounding to even.
• Any other number src for which ToFixed is implemented, in which case this method returns src.unwrapped_to_fixed().

Panics

Panics if the value does not fit.

For floating-point numbers, also panics if the value is not finite.

Examples

use fixed::{
    types::{extra::U4, I16F16},
    FixedI32,
};
type Fix = FixedI32<U4>;

// 1.75 is 1.11 in binary
let src = I16F16::from_bits(0b111 << (16 - 2));
assert_eq!(Fix::unwrapped_from_num(src), Fix::from_bits(0b111 << (4 - 2)));

The following panics because of overflow.

use fixed::{
    types::extra::{U0, U4},
    FixedI32,
};
type Fix = FixedI32<U4>;
let too_large = FixedI32::<U0>::from_bits(0b1101 << (32 - 7));
let _overflow = Fix::unwrapped_from_num(too_large);

pub fn unwrapped_to_num<Dst: FromFixed>(self) -> Dst

Converts a fixed-point number to another number, panicking on overflow.

The other number can be:

• Another fixed-point number. Any extra fractional bits are discarded, which rounds towards −∞.
• An integer of type i8, i16, i32, i64, i128, isize, u8, u16, u32, u64, u128, or usize. Any fractional bits are discarded, which rounds towards −∞.
• A floating-point number of type f16, bf16, f32, f64 or F128Bits. For this conversion, the method rounds to the nearest, with ties rounding to even.
• Any other type Dst for which FromFixed is implemented, in which case this method returns Dst::unwrapped_from_fixed(self).

Panics

Panics if the value does not fit.

Examples

use fixed::{
    types::{extra::U4, I16F16},
    FixedI32,
};
type Fix = FixedI32<U4>;

// 1.75 is 1.11 in binary
let src = Fix::from_bits(0b111 << (4 - 2));
let expected = I16F16::from_bits(0b111 << (16 - 2));
assert_eq!(src.unwrapped_to_num::<I16F16>(), expected);

The following panics because of overflow.

use fixed::{
    types::extra::{U4, U6},
    FixedI32,
};
type Fix = FixedI32<U4>;
type TooFewIntBits = FixedI32<U6>;
let _overflow = Fix::MAX.unwrapped_to_num::<TooFewIntBits>();

pub fn overflowing_from_num<Src: ToFixed>(src: Src) -> (FixedI32<Frac>, bool)

Creates a fixed-point number from another number.

Returns a tuple of the fixed-point number and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

The other number can be:

• Another fixed-point number. Any extra fractional bits are discarded, which rounds towards −∞.
• An integer of type i8, i16, i32, i64, i128, isize, u8, u16, u32, u64, u128, or usize.
• A floating-point number of type f16, bf16, f32, f64 or F128Bits. For this conversion, the method rounds to the nearest, with ties rounding to even.
• Any other number src for which ToFixed is implemented, in which case this method returns src.overflowing_to_fixed().

Panics

For floating-point numbers, panics if the value is not finite.

Examples

use fixed::{
    types::extra::{U0, U4},
    types::I16F16,
    FixedI32,
};
type Fix = FixedI32<U4>;

// 1.75 is 1.11 in binary
let src = I16F16::from_bits(0b111 << (16 - 2));
let expected = Fix::from_bits(0b111 << (4 - 2));
assert_eq!(Fix::overflowing_from_num(src), (expected, false));
// integer 0b1101 << (32 - 7) will wrap to fixed-point 1010...
let too_large = FixedI32::<U0>::from_bits(0b1101 << (32 - 7));
let wrapped = Fix::from_bits(0b1010 << (32 - 4));
assert_eq!(Fix::overflowing_from_num(too_large), (wrapped, true));

assert_eq!(Fix::overflowing_from_num(3), (Fix::from_bits(3 << 4), false));
// integer 0b1101 << (32 - 7) will wrap to fixed-point 1010...
let large: i32 = 0b1101 << (32 - 7);
let wrapped = Fix::from_bits(0b1010 << (32 - 4));
assert_eq!(Fix::overflowing_from_num(large), (wrapped, true));

// 1.75 is 1.11 in binary
let expected = Fix::from_bits(0b111 << (4 - 2));
assert_eq!(Fix::overflowing_from_num(1.75f32), (expected, false));
// 1.75 << (32 - 4) wraps to binary 11000...
let large = 1.75 * 2f32.powi(32 - 4);
let wrapped = Fix::from_bits(0b1100 << (32 - 4));
assert_eq!(Fix::overflowing_from_num(large), (wrapped, true));

pub fn overflowing_to_num<Dst: FromFixed>(self) -> (Dst, bool)

Converts a fixed-point number to another number.

Returns a tuple of the number and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

The other number can be:

• Another fixed-point number. Any extra fractional bits are discarded, which rounds towards −∞.
• An integer of type i8, i16, i32, i64, i128, isize, u8, u16, u32, u64, u128, or usize. Any fractional bits are discarded, which rounds towards −∞.
• A floating-point number of type f16, bf16, f32, f64 or F128Bits. For this conversion, the method rounds to the nearest, with ties rounding to even.
• Any other type Dst for which FromFixed is implemented, in which case this method returns Dst::overflowing_from_fixed(self).

Examples

use fixed::{
    types::extra::{U0, U4, U6},
    types::I16F16,
    FixedI32,
};
type Fix = FixedI32<U4>;

// 1.75 is 1.11 in binary
let src = Fix::from_bits(0b111 << (4 - 2));
let expected = I16F16::from_bits(0b111 << (16 - 2));
assert_eq!(src.overflowing_to_num::<I16F16>(), (expected, false));
type TooFewIntBits = FixedI32<U6>;
let wrapped = TooFewIntBits::from_bits(Fix::MAX.to_bits() << 2);
assert_eq!(Fix::MAX.overflowing_to_num::<TooFewIntBits>(), (wrapped, true));

// 2.5 is 10.1 in binary
let two_point_5 = Fix::from_bits(0b101 << (4 - 1));
assert_eq!(two_point_5.overflowing_to_num::<i32>(), (2, false));
let does_not_fit = FixedI32::<U0>::from_bits(-1);
let wrapped = 1u32.wrapping_neg();
assert_eq!(does_not_fit.overflowing_to_num::<u32>(), (wrapped, true));

// 1.625 is 1.101 in binary
let one_point_625 = Fix::from_bits(0b1101 << (4 - 3));
assert_eq!(one_point_625.overflowing_to_num::<f32>(), (1.625f32, false));

pub fn from_str_binary(src: &str) -> Result<FixedI32<Frac>, ParseFixedError>

Parses a string slice containing binary digits to return a fixed-point number.

Rounding is to the nearest, with ties rounded to even.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
// 1.75 is 1.11 in binary
let f = Fix::from_str_binary("1.11");
let check = Fix::from_bits(0b111 << (4 - 2));
assert_eq!(f, Ok(check));
let neg = Fix::from_str_binary("-1.11");
assert_eq!(neg, Ok(-check));

pub fn from_str_octal(src: &str) -> Result<FixedI32<Frac>, ParseFixedError>

Parses a string slice containing octal digits to return a fixed-point number.

Rounding is to the nearest, with ties rounded to even.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
// 1.75 is 1.11 in binary, 1.6 in octal
let f = Fix::from_str_octal("1.6");
let check = Fix::from_bits(0b111 << (4 - 2));
assert_eq!(f, Ok(check));
let neg = Fix::from_str_octal("-1.6");
assert_eq!(neg, Ok(-check));

pub fn from_str_hex(src: &str) -> Result<FixedI32<Frac>, ParseFixedError>

Parses a string slice containing hexadecimal digits to return a fixed-point number.

Rounding is to the nearest, with ties rounded to even.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
// 1.75 is 1.11 in binary, 1.C in hexadecimal
let f = Fix::from_str_hex("1.C");
let check = Fix::from_bits(0b111 << (4 - 2));
assert_eq!(f, Ok(check));
let neg = Fix::from_str_hex("-1.C");
assert_eq!(neg, Ok(-check));

pub fn saturating_from_str(src: &str) -> Result<FixedI32<Frac>, ParseFixedError>

Parses a string slice containing decimal digits to return a fixed-point number, saturating on overflow.

Rounding is to the nearest, with ties rounded to even.

Examples

use fixed::types::I8F8;
assert_eq!(I8F8::saturating_from_str("9999"), Ok(I8F8::MAX));
assert_eq!(I8F8::saturating_from_str("-9999"), Ok(I8F8::MIN));

pub fn saturating_from_str_binary(
    src: &str
) -> Result<FixedI32<Frac>, ParseFixedError>

Parses a string slice containing binary digits to return a fixed-point number, saturating on overflow.

Rounding is to the nearest, with ties rounded to even.

Examples

use fixed::types::I8F8;
assert_eq!(I8F8::saturating_from_str_binary("101100111000"), Ok(I8F8::MAX));
assert_eq!(I8F8::saturating_from_str_binary("-101100111000"), Ok(I8F8::MIN));

pub fn saturating_from_str_octal(
    src: &str
) -> Result<FixedI32<Frac>, ParseFixedError>

Parses a string slice containing octal digits to return a fixed-point number, saturating on overflow.

Rounding is to the nearest, with ties rounded to even.

Examples

use fixed::types::I8F8;
assert_eq!(I8F8::saturating_from_str_octal("7777"), Ok(I8F8::MAX));
assert_eq!(I8F8::saturating_from_str_octal("-7777"), Ok(I8F8::MIN));

pub fn saturating_from_str_hex(
    src: &str
) -> Result<FixedI32<Frac>, ParseFixedError>

Prases a string slice containing hexadecimal digits to return a fixed-point number, saturating on overflow.

Rounding is to the nearest, with ties rounded to even.

Examples

use fixed::types::I8F8;
assert_eq!(I8F8::saturating_from_str_hex("FFFF"), Ok(I8F8::MAX));
assert_eq!(I8F8::saturating_from_str_hex("-FFFF"), Ok(I8F8::MIN));

pub fn wrapping_from_str(src: &str) -> Result<FixedI32<Frac>, ParseFixedError>

Parses a string slice containing decimal digits to return a fixed-point number, wrapping on overflow.

Rounding is to the nearest, with ties rounded to even.

Examples

use fixed::types::I8F8;
// 9999.5 = 15.5 + 256 × n
assert_eq!(I8F8::wrapping_from_str("9999.5"), Ok(I8F8::from_num(15.5)));
assert_eq!(I8F8::wrapping_from_str("-9999.5"), Ok(I8F8::from_num(-15.5)));

pub fn wrapping_from_str_binary(
    src: &str
) -> Result<FixedI32<Frac>, ParseFixedError>

Parses a string slice containing binary digits to return a fixed-point number, wrapping on overflow.

Rounding is to the nearest, with ties rounded to even.

Examples

use fixed::types::I8F8;
let check = I8F8::from_bits(0b1110001 << (8 - 1));
assert_eq!(I8F8::wrapping_from_str_binary("101100111000.1"), Ok(check));
assert_eq!(I8F8::wrapping_from_str_binary("-101100111000.1"), Ok(-check));

pub fn wrapping_from_str_octal(
    src: &str
) -> Result<FixedI32<Frac>, ParseFixedError>

Parses a string slice containing octal digits to return a fixed-point number, wrapping on overflow.

Rounding is to the nearest, with ties rounded to even.

Examples

use fixed::types::I8F8;
let check = I8F8::from_bits(0o1654 << (8 - 3));
assert_eq!(I8F8::wrapping_from_str_octal("7165.4"), Ok(check));
assert_eq!(I8F8::wrapping_from_str_octal("-7165.4"), Ok(-check));

pub fn wrapping_from_str_hex(
    src: &str
) -> Result<FixedI32<Frac>, ParseFixedError>

Parses a string slice containing hexadecimal digits to return a fixed-point number, wrapping on overflow.

Rounding is to the nearest, with ties rounded to even.

Examples

use fixed::types::I8F8;
let check = I8F8::from_bits(0xFFE);
assert_eq!(I8F8::wrapping_from_str_hex("C0F.FE"), Ok(check));
assert_eq!(I8F8::wrapping_from_str_hex("-C0F.FE"), Ok(-check));

pub fn overflowing_from_str(
    src: &str
) -> Result<(FixedI32<Frac>, bool), ParseFixedError>

Parses a string slice containing decimal digits to return a fixed-point number.

Returns a tuple of the fixed-point number and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Rounding is to the nearest, with ties rounded to even.

Examples

use fixed::types::I8F8;
assert_eq!(I8F8::overflowing_from_str("99.5"), Ok((I8F8::from_num(99.5), false)));
// 9999.5 = 15.5 + 256 × n
assert_eq!(I8F8::overflowing_from_str("-9999.5"), Ok((I8F8::from_num(-15.5), true)));

pub fn overflowing_from_str_binary(
    src: &str
) -> Result<(FixedI32<Frac>, bool), ParseFixedError>

Parses a string slice containing binary digits to return a fixed-point number.

Returns a tuple of the fixed-point number and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Rounding is to the nearest, with ties rounded to even.

Examples

use fixed::types::I8F8;
let check = I8F8::from_bits(0b1110001 << (8 - 1));
assert_eq!(I8F8::overflowing_from_str_binary("111000.1"), Ok((check, false)));
assert_eq!(I8F8::overflowing_from_str_binary("-101100111000.1"), Ok((-check, true)));

pub fn overflowing_from_str_octal(
    src: &str
) -> Result<(FixedI32<Frac>, bool), ParseFixedError>

Parses a string slice containing octal digits to return a fixed-point number.

Returns a tuple of the fixed-point number and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Rounding is to the nearest, with ties rounded to even.

Examples

use fixed::types::I8F8;
let check = I8F8::from_bits(0o1654 << (8 - 3));
assert_eq!(I8F8::overflowing_from_str_octal("165.4"), Ok((check, false)));
assert_eq!(I8F8::overflowing_from_str_octal("-7165.4"), Ok((-check, true)));

pub fn overflowing_from_str_hex(
    src: &str
) -> Result<(FixedI32<Frac>, bool), ParseFixedError>

Parses a string slice containing hexadecimal digits to return a fixed-point number.

Returns a tuple of the fixed-point number and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Rounding is to the nearest, with ties rounded to even.

Examples

use fixed::types::I8F8;
let check = I8F8::from_bits(0xFFE);
assert_eq!(I8F8::overflowing_from_str_hex("F.FE"), Ok((check, false)));
assert_eq!(I8F8::overflowing_from_str_hex("-C0F.FE"), Ok((-check, true)));

pub fn int(self) -> FixedI32<Frac>

Returns the integer part.

Note that since the numbers are stored in two’s complement, negative numbers with non-zero fractional parts will be rounded towards −∞, except in the case where there are no integer bits, that is FixedI32<U32>, where the return value is always zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
// 0010.0000
let two = Fix::from_num(2);
// 0010.0100
let two_and_quarter = two + two / 8;
assert_eq!(two_and_quarter.int(), two);
// 1101.0000
let three = Fix::from_num(3);
// 1101.1100
assert_eq!((-two_and_quarter).int(), -three);

pub fn frac(self) -> FixedI32<Frac>

Returns the fractional part.

Note that since the numbers are stored in two’s complement, the returned fraction will be non-negative for negative numbers, except in the case where there are no integer bits, that is FixedI32<U32> where the return value is always equal to self.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
// 0000.0100
let quarter = Fix::ONE / 4;
// 0010.0100
let two_and_quarter = quarter * 9;
assert_eq!(two_and_quarter.frac(), quarter);
// 0000.1100
let three_quarters = quarter * 3;
// 1101.1100
assert_eq!((-two_and_quarter).frac(), three_quarters);

pub fn round_to_zero(self) -> FixedI32<Frac>

Rounds to the next integer towards 0.

Note that for negative numbers, this is different from truncating/discarding the fractional bits. This is because in two’s-complement representations, the value of all the bits except for the most significant bit is positive; discarding positive bits would round towards −∞ unlike this method which rounds towards zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.1).round_to_zero(), Fix::from_num(2));
assert_eq!(Fix::from_num(2.9).round_to_zero(), Fix::from_num(2));
assert_eq!(Fix::from_num(-2.1).round_to_zero(), Fix::from_num(-2));
assert_eq!(Fix::from_num(-2.9).round_to_zero(), Fix::from_num(-2));

pub fn ceil(self) -> FixedI32<Frac>

Rounds to the next integer towards +∞.

Panics

When debug assertions are enabled, panics if the result does not fit. When debug assertions are not enabled, the wrapped result can be returned, but it is not considered a breaking change if in the future it panics; if wrapping is required use wrapping_ceil instead.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).ceil(), Fix::from_num(3));
assert_eq!(Fix::from_num(-2.5).ceil(), Fix::from_num(-2));

pub fn floor(self) -> FixedI32<Frac>

Rounds to the next integer towards −∞.

Panics

When debug assertions are enabled, panics if the result does not fit. When debug assertions are not enabled, the wrapped result can be returned, but it is not considered a breaking change if in the future it panics; if wrapping is required use wrapping_floor instead.

Overflow can only occur when there are zero integer bits.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).floor(), Fix::from_num(2));
assert_eq!(Fix::from_num(-2.5).floor(), Fix::from_num(-3));

pub fn round(self) -> FixedI32<Frac>

Rounds to the nearest integer, with ties rounded away from zero.

Panics

When debug assertions are enabled, panics if the result does not fit. When debug assertions are not enabled, the wrapped result can be returned, but it is not considered a breaking change if in the future it panics; if wrapping is required use wrapping_round instead.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).round(), Fix::from_num(3));
assert_eq!(Fix::from_num(-2.5).round(), Fix::from_num(-3));

pub fn round_ties_to_even(self) -> FixedI32<Frac>

Rounds to the nearest integer, with ties rounded to even.

Panics

When debug assertions are enabled, panics if the result does not fit. When debug assertions are not enabled, the wrapped result can be returned, but it is not considered a breaking change if in the future it panics; if wrapping is required use wrapping_round_ties_to_even instead.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).round_ties_to_even(), Fix::from_num(2));
assert_eq!(Fix::from_num(3.5).round_ties_to_even(), Fix::from_num(4));

pub fn checked_ceil(self) -> Option<FixedI32<Frac>>

Checked ceil. Rounds to the next integer towards +∞, returning None on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).checked_ceil(), Some(Fix::from_num(3)));
assert_eq!(Fix::from_num(-2.5).checked_ceil(), Some(Fix::from_num(-2)));
assert!(Fix::MAX.checked_ceil().is_none());

pub fn checked_floor(self) -> Option<FixedI32<Frac>>

Checked floor. Rounds to the next integer towards −∞.Returns None on overflow.

Overflow can only occur when there are zero integer bits.

Examples

use fixed::{
    types::extra::{U4, U32},
    FixedI32,
};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).checked_floor(), Some(Fix::from_num(2)));
assert_eq!(Fix::from_num(-2.5).checked_floor(), Some(Fix::from_num(-3)));
type AllFrac = FixedI32<U32>;
assert!(AllFrac::MIN.checked_floor().is_none());

pub fn checked_round(self) -> Option<FixedI32<Frac>>

Checked round. Rounds to the nearest integer, with ties rounded away from zero, returning None on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).checked_round(), Some(Fix::from_num(3)));
assert_eq!(Fix::from_num(-2.5).checked_round(), Some(Fix::from_num(-3)));
assert!(Fix::MAX.checked_round().is_none());

pub fn checked_round_ties_to_even(self) -> Option<FixedI32<Frac>>

Checked round. Rounds to the nearest integer, with ties rounded to even, returning None on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).checked_round_ties_to_even(), Some(Fix::from_num(2)));
assert_eq!(Fix::from_num(3.5).checked_round_ties_to_even(), Some(Fix::from_num(4)));
assert!(Fix::MAX.checked_round_ties_to_even().is_none());

pub fn saturating_ceil(self) -> FixedI32<Frac>

Saturating ceil. Rounds to the next integer towards +∞, saturating on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).saturating_ceil(), Fix::from_num(3));
assert_eq!(Fix::from_num(-2.5).saturating_ceil(), Fix::from_num(-2));
assert_eq!(Fix::MAX.saturating_ceil(), Fix::MAX);

pub fn saturating_floor(self) -> FixedI32<Frac>

Saturating floor. Rounds to the next integer towards −∞, saturating on overflow.

Overflow can only occur when there are zero integer bits.

Examples

use fixed::{
    types::extra::{U4, U32},
    FixedI32,
};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).saturating_floor(), Fix::from_num(2));
assert_eq!(Fix::from_num(-2.5).saturating_floor(), Fix::from_num(-3));
type AllFrac = FixedI32<U32>;
assert_eq!(AllFrac::MIN.saturating_floor(), AllFrac::MIN);

pub fn saturating_round(self) -> FixedI32<Frac>

Saturating round. Rounds to the nearest integer, with ties rounded away from zero, and saturating on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).saturating_round(), Fix::from_num(3));
assert_eq!(Fix::from_num(-2.5).saturating_round(), Fix::from_num(-3));
assert_eq!(Fix::MAX.saturating_round(), Fix::MAX);

pub fn saturating_round_ties_to_even(self) -> FixedI32<Frac>

Saturating round. Rounds to the nearest integer, with ties rounded to even, and saturating on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).saturating_round_ties_to_even(), Fix::from_num(2));
assert_eq!(Fix::from_num(3.5).saturating_round_ties_to_even(), Fix::from_num(4));
assert_eq!(Fix::MAX.saturating_round_ties_to_even(), Fix::MAX);

pub fn wrapping_ceil(self) -> FixedI32<Frac>

Wrapping ceil. Rounds to the next integer towards +∞, wrapping on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).wrapping_ceil(), Fix::from_num(3));
assert_eq!(Fix::from_num(-2.5).wrapping_ceil(), Fix::from_num(-2));
assert_eq!(Fix::MAX.wrapping_ceil(), Fix::MIN);

pub fn wrapping_floor(self) -> FixedI32<Frac>

Wrapping floor. Rounds to the next integer towards −∞, wrapping on overflow.

Overflow can only occur when there are zero integer bits.

Examples

use fixed::{
    types::extra::{U4, U32},
    FixedI32,
};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).wrapping_floor(), Fix::from_num(2));
assert_eq!(Fix::from_num(-2.5).wrapping_floor(), Fix::from_num(-3));
type AllFrac = FixedI32<U32>;
assert_eq!(AllFrac::MIN.wrapping_floor(), AllFrac::ZERO);

pub fn wrapping_round(self) -> FixedI32<Frac>

Wrapping round. Rounds to the next integer to the nearest, with ties rounded away from zero, and wrapping on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).wrapping_round(), Fix::from_num(3));
assert_eq!(Fix::from_num(-2.5).wrapping_round(), Fix::from_num(-3));
assert_eq!(Fix::MAX.wrapping_round(), Fix::MIN);

pub fn wrapping_round_ties_to_even(self) -> FixedI32<Frac>

Wrapping round. Rounds to the next integer to the nearest, with ties rounded to even, and wrapping on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).wrapping_round_ties_to_even(), Fix::from_num(2));
assert_eq!(Fix::from_num(3.5).wrapping_round_ties_to_even(), Fix::from_num(4));
assert_eq!(Fix::MAX.wrapping_round_ties_to_even(), Fix::MIN);

pub fn unwrapped_ceil(self) -> FixedI32<Frac>

Unwrapped ceil. Rounds to the next integer towards +∞, panicking on overflow.

Panics

Panics if the result does not fit.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).unwrapped_ceil(), Fix::from_num(3));
assert_eq!(Fix::from_num(-2.5).unwrapped_ceil(), Fix::from_num(-2));

The following panics because of overflow.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _overflow = Fix::MAX.unwrapped_ceil();

pub fn unwrapped_floor(self) -> FixedI32<Frac>

Unwrapped floor. Rounds to the next integer towards −∞, panicking on overflow.

Overflow can only occur when there are zero integer bits.

Panics

Panics if the result does not fit.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).unwrapped_floor(), Fix::from_num(2));
assert_eq!(Fix::from_num(-2.5).unwrapped_floor(), Fix::from_num(-3));

The following panics because of overflow.

use fixed::{types::extra::U32, FixedI32};
type AllFrac = FixedI32<U32>;
let _overflow = AllFrac::MIN.unwrapped_floor();

pub fn unwrapped_round(self) -> FixedI32<Frac>

Unwrapped round. Rounds to the next integer to the nearest, with ties rounded away from zero, and panicking on overflow.

Panics

Panics if the result does not fit.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).unwrapped_round(), Fix::from_num(3));
assert_eq!(Fix::from_num(-2.5).unwrapped_round(), Fix::from_num(-3));

The following panics because of overflow.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _overflow = Fix::MAX.unwrapped_round();

pub fn unwrapped_round_ties_to_even(self) -> FixedI32<Frac>

Unwrapped round. Rounds to the next integer to the nearest, with ties rounded to even, and panicking on overflow.

Panics

Panics if the result does not fit.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).unwrapped_round_ties_to_even(), Fix::from_num(2));
assert_eq!(Fix::from_num(3.5).unwrapped_round_ties_to_even(), Fix::from_num(4));

The following panics because of overflow.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _overflow = Fix::MAX.unwrapped_round_ties_to_even();

pub fn overflowing_ceil(self) -> (FixedI32<Frac>, bool)

Overflowing ceil. Rounds to the next integer towards +∞.

Returns a tuple of the fixed-point number and a bool, indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).overflowing_ceil(), (Fix::from_num(3), false));
assert_eq!(Fix::from_num(-2.5).overflowing_ceil(), (Fix::from_num(-2), false));
assert_eq!(Fix::MAX.overflowing_ceil(), (Fix::MIN, true));

pub fn overflowing_floor(self) -> (FixedI32<Frac>, bool)

Overflowing floor. Rounds to the next integer towards −∞.

Returns a tuple of the fixed-point number and a bool, indicating whether an overflow has occurred. On overflow, the wrapped value isreturned. Overflow can only occur when there are zero integer bits.

Examples

use fixed::{
    types::extra::{U4, U32},
    FixedI32,
};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).overflowing_floor(), (Fix::from_num(2), false));
assert_eq!(Fix::from_num(-2.5).overflowing_floor(), (Fix::from_num(-3), false));
type AllFrac = FixedI32<U32>;
assert_eq!(AllFrac::MIN.overflowing_floor(), (AllFrac::ZERO, true));

pub fn overflowing_round(self) -> (FixedI32<Frac>, bool)

Overflowing round. Rounds to the next integer to the nearest, with ties rounded away from zero.

Returns a tuple of the fixed-point number and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).overflowing_round(), (Fix::from_num(3), false));
assert_eq!(Fix::from_num(-2.5).overflowing_round(), (Fix::from_num(-3), false));
assert_eq!(Fix::MAX.overflowing_round(), (Fix::MIN, true));

pub fn overflowing_round_ties_to_even(self) -> (FixedI32<Frac>, bool)

Overflowing round. Rounds to the next integer to the nearest, with ties rounded to even.

Returns a tuple of the fixed-point number and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2.5).overflowing_round_ties_to_even(), (Fix::from_num(2), false));
assert_eq!(Fix::from_num(3.5).overflowing_round_ties_to_even(), (Fix::from_num(4), false));
assert_eq!(Fix::MAX.overflowing_round_ties_to_even(), (Fix::MIN, true));

pub fn int_log2(self) -> i32

Integer base-2 logarithm, rounded down.

Panics

Panics if the fixed-point number is ≤ 0.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(4).int_log2(), 2);
assert_eq!(Fix::from_num(3.9375).int_log2(), 1);
assert_eq!(Fix::from_num(0.25).int_log2(), -2);
assert_eq!(Fix::from_num(0.1875).int_log2(), -3);

pub fn int_log10(self) -> i32

Integer base-10 logarithm, rounded down.

Panics

Panics if the fixed-point number is ≤ 0.

Examples

use fixed::{
    types::extra::{U2, U6},
    FixedI32,
};
assert_eq!(FixedI32::<U2>::from_num(10).int_log10(), 1);
assert_eq!(FixedI32::<U2>::from_num(9.75).int_log10(), 0);
assert_eq!(FixedI32::<U6>::from_num(0.109375).int_log10(), -1);
assert_eq!(FixedI32::<U6>::from_num(0.09375).int_log10(), -2);

pub fn checked_int_log2(self) -> Option<i32>

Checked integer base-2 logarithm, rounded down. Returns the logarithm or None if the fixed-point number is ≤ 0.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::ZERO.checked_int_log2(), None);
assert_eq!(Fix::from_num(4).checked_int_log2(), Some(2));
assert_eq!(Fix::from_num(3.9375).checked_int_log2(), Some(1));
assert_eq!(Fix::from_num(0.25).checked_int_log2(), Some(-2));
assert_eq!(Fix::from_num(0.1875).checked_int_log2(), Some(-3));

pub fn checked_int_log10(self) -> Option<i32>

Checked integer base-10 logarithm, rounded down. Returns the logarithm or None if the fixed-point number is ≤ 0.

Examples

use fixed::{
    types::extra::{U2, U6},
    FixedI32,
};
assert_eq!(FixedI32::<U2>::ZERO.checked_int_log10(), None);
assert_eq!(FixedI32::<U2>::from_num(10).checked_int_log10(), Some(1));
assert_eq!(FixedI32::<U2>::from_num(9.75).checked_int_log10(), Some(0));
assert_eq!(FixedI32::<U6>::from_num(0.109375).checked_int_log10(), Some(-1));
assert_eq!(FixedI32::<U6>::from_num(0.09375).checked_int_log10(), Some(-2));

pub fn signum(self) -> FixedI32<Frac>

Returns a number representing the sign of self.

Panics

When debug assertions are enabled, this method panics

• if the value is positive and the fixed-point number has zero or one integer bits such that it cannot hold the value 1.
• if the value is negative and the fixed-point number has zero integer bits, such that it cannot hold the value −1.

When debug assertions are not enabled, the wrapped value can be returned in those cases, but it is not considered a breaking change if in the future it panics; using this method when 1 and −1 cannot be represented is almost certainly a bug.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(5).signum(), 1);
assert_eq!(Fix::ZERO.signum(), 0);
assert_eq!(Fix::from_num(-5).signum(), -1);

pub fn recip(self) -> FixedI32<Frac>

Returns the reciprocal (inverse) of the fixed-point number, 1/self.

Panics

Panics if the fixed-point number is zero.

When debug assertions are enabled, this method also panics if the reciprocal overflows. When debug assertions are not enabled, the wrapped value can be returned, but it is not considered a breaking change if in the future it panics; if wrapping is required use wrapping_recip instead.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2).recip(), Fix::from_num(0.5));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn div_euclid(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Euclidean division.

Panics

Panics if the divisor is zero.

When debug assertions are enabled, this method also panics if the division overflows. When debug assertions are not enabled, the wrapped value can be returned, but it is not considered a breaking change if in the future it panics; if wrapping is required use wrapping_div_euclid instead.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(7.5).div_euclid(Fix::from_num(2)), Fix::from_num(3));
assert_eq!(Fix::from_num(-7.5).div_euclid(Fix::from_num(2)), Fix::from_num(-4));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn div_euclid_int(self, rhs: i32) -> FixedI32<Frac>

Euclidean division by an integer.

Panics

Panics if the divisor is zero.

When debug assertions are enabled, this method also panics if the division overflows. Overflow can only occur when dividing the minimum value by −1. When debug assertions are not enabled, the wrapped value can be returned, but it is not considered a breaking change if in the future it panics; if wrapping is required use wrapping_div_euclid_int instead.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(7.5).div_euclid_int(2), Fix::from_num(3));
assert_eq!(Fix::from_num(-7.5).div_euclid_int(2), Fix::from_num(-4));

pub fn mul_acc<AFrac: LeEqU32, BFrac: LeEqU32>(
    &mut self,
    a: FixedI32<AFrac>,
    b: FixedI32<BFrac>
)

Multiply and accumulate. Adds (a × b) to self.

For some cases, the product a × b would overflow on its own, but the final result self + a × b is representable; in these cases this method saves the correct result without overflow.

The a and b parameters can have a fixed-point type like self but with a different number of fractional bits.

Panics

When debug assertions are enabled, this method panics if the result overflows. When debug assertions are not enabled, the wrapped value can be returned, but it is not considered a breaking change if in the future it panics; if wrapping is required use wrapping_mul_acc instead.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let mut acc = Fix::from_num(3);
acc.mul_acc(Fix::from_num(4), Fix::from_num(0.5));
assert_eq!(acc, 5);

// MAX × 1.5 − MAX = MAX / 2, which does not overflow
acc = -Fix::MAX;
acc.mul_acc(Fix::MAX, Fix::from_num(1.5));
assert_eq!(acc, Fix::MAX / 2);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn rem_euclid_int(self, rhs: i32) -> FixedI32<Frac>

Remainder for Euclidean division by an integer.

Panics

Panics if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(7.5).rem_euclid_int(2), Fix::from_num(1.5));
assert_eq!(Fix::from_num(-7.5).rem_euclid_int(2), Fix::from_num(0.5));

pub fn checked_signum(self) -> Option<FixedI32<Frac>>

Checked signum. Returns a number representing the sign of self, or None on overflow.

Overflow can only occur

• if the value is positive and the fixed-point number has zero or one integer bits such that it cannot hold the value 1.
• if the value is negative and the fixed-point number has zero integer bits, such that it cannot hold the value −1.

Examples

use fixed::{
    types::extra::{U4, U31, U32},
    FixedI32,
};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(5).checked_signum(), Some(Fix::ONE));
assert_eq!(Fix::ZERO.checked_signum(), Some(Fix::ZERO));
assert_eq!(Fix::from_num(-5).checked_signum(), Some(Fix::from_num(-1)));

type OneIntBit = FixedI32<U31>;
type ZeroIntBits = FixedI32<U32>;
assert_eq!(OneIntBit::from_num(0.5).checked_signum(), None);
assert_eq!(ZeroIntBits::from_num(0.25).checked_signum(), None);
assert_eq!(ZeroIntBits::from_num(-0.5).checked_signum(), None);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn checked_mul(self, rhs: FixedI32<Frac>) -> Option<FixedI32<Frac>>

Checked multiplication. Returns the product, or None on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::MAX.checked_mul(Fix::ONE), Some(Fix::MAX));
assert_eq!(Fix::MAX.checked_mul(Fix::from_num(2)), None);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn checked_div(self, rhs: FixedI32<Frac>) -> Option<FixedI32<Frac>>

Checked division. Returns the quotient, or None if the divisor is zero or on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::MAX.checked_div(Fix::ONE), Some(Fix::MAX));
assert_eq!(Fix::MAX.checked_div(Fix::ONE / 2), None);

pub fn checked_recip(self) -> Option<FixedI32<Frac>>

Checked reciprocal. Returns the reciprocal, or None if self is zero or on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(2).checked_recip(), Some(Fix::from_num(0.5)));
assert_eq!(Fix::ZERO.checked_recip(), None);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn checked_div_euclid(self, rhs: FixedI32<Frac>) -> Option<FixedI32<Frac>>

Checked Euclidean division. Returns the quotient, or None if the divisor is zero or on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(7.5).checked_div_euclid(Fix::from_num(2)), Some(Fix::from_num(3)));
assert_eq!(Fix::from_num(7.5).checked_div_euclid(Fix::ZERO), None);
assert_eq!(Fix::MAX.checked_div_euclid(Fix::from_num(0.25)), None);
assert_eq!(Fix::from_num(-7.5).checked_div_euclid(Fix::from_num(2)), Some(Fix::from_num(-4)));

#[must_use = "this `Option` may be a `None` variant indicating overflow, which should be handled"]

pub fn checked_mul_acc<AFrac: LeEqU32, BFrac: LeEqU32>(
    &mut self,
    a: FixedI32<AFrac>,
    b: FixedI32<BFrac>
) -> Option<()>

Checked multiply and accumulate. Adds (a × b) to self, or returns None on overflow.

Like all other checked methods, this method wraps the successful return value in an Option. Since the unchecked mul_acc method does not return a value, which is equivalent to returning (), this method wraps () into Some(()) on success.

When overflow occurs, self is not modified and retains its previous value.

For some cases, the product a × b would overflow on its own, but the final result self + a × b is representable; in these cases this method saves the correct result without overflow.

The a and b parameters can have a fixed-point type like self but with a different number of fractional bits.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let mut acc = Fix::from_num(3);
let check = acc.checked_mul_acc(Fix::from_num(4), Fix::from_num(0.5));
assert_eq!(check, Some(()));
assert_eq!(acc, 5);

acc = Fix::DELTA;
let check = acc.checked_mul_acc(Fix::MAX, Fix::ONE);
assert_eq!(check, None);
// acc is unchanged on error
assert_eq!(acc, Fix::DELTA);

// MAX × 1.5 − MAX = MAX / 2, which does not overflow
acc = -Fix::MAX;
let check = acc.checked_mul_acc(Fix::MAX, Fix::from_num(1.5));
assert_eq!(check, Some(()));
assert_eq!(acc, Fix::MAX / 2);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn checked_rem_int(self, rhs: i32) -> Option<FixedI32<Frac>>

Checked fixed-point remainder for division by an integer. Returns the remainder, or None if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(3.75).checked_rem_int(2), Some(Fix::from_num(1.75)));
assert_eq!(Fix::from_num(3.75).checked_rem_int(0), None);
assert_eq!(Fix::from_num(-3.75).checked_rem_int(2), Some(Fix::from_num(-1.75)));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn checked_div_euclid_int(self, rhs: i32) -> Option<FixedI32<Frac>>

Checked Euclidean division by an integer. Returns the quotient, or None if the divisor is zero or if the division results in overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(7.5).checked_div_euclid_int(2), Some(Fix::from_num(3)));
assert_eq!(Fix::from_num(7.5).checked_div_euclid_int(0), None);
assert_eq!(Fix::MIN.checked_div_euclid_int(-1), None);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn checked_rem_euclid_int(self, rhs: i32) -> Option<FixedI32<Frac>>

Checked remainder for Euclidean division by an integer. Returns the remainder, or None if the divisor is zero or if the remainder results in overflow.

Examples

use fixed::{types::extra::U28, FixedI32};
type Fix = FixedI32<U28>;
assert_eq!(Fix::from_num(7.5).checked_rem_euclid_int(2), Some(Fix::from_num(1.5)));
assert_eq!(Fix::from_num(7.5).checked_rem_euclid_int(0), None);
assert_eq!(Fix::from_num(-7.5).checked_rem_euclid_int(2), Some(Fix::from_num(0.5)));
// −8 ≤ Fix < 8, so the answer 12.5 overflows
assert_eq!(Fix::from_num(-7.5).checked_rem_euclid_int(20), None);

pub fn saturating_signum(self) -> FixedI32<Frac>

Saturating signum. Returns a number representing the sign of self, saturating on overflow.

Overflow can only occur

• if the value is positive and the fixed-point number has zero or one integer bits such that it cannot hold the value 1.
• if the value is negative and the fixed-point number has zero integer bits, such that it cannot hold the value −1.

Examples

use fixed::{
    types::extra::{U4, U31, U32},
    FixedI32,
};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(5).saturating_signum(), 1);
assert_eq!(Fix::ZERO.saturating_signum(), 0);
assert_eq!(Fix::from_num(-5).saturating_signum(), -1);

type OneIntBit = FixedI32<U31>;
type ZeroIntBits = FixedI32<U32>;
assert_eq!(OneIntBit::from_num(0.5).saturating_signum(), OneIntBit::MAX);
assert_eq!(ZeroIntBits::from_num(0.25).saturating_signum(), ZeroIntBits::MAX);
assert_eq!(ZeroIntBits::from_num(-0.5).saturating_signum(), ZeroIntBits::MIN);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn saturating_mul(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Saturating multiplication. Returns the product, saturating on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(3).saturating_mul(Fix::from_num(2)), Fix::from_num(6));
assert_eq!(Fix::MAX.saturating_mul(Fix::from_num(2)), Fix::MAX);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn saturating_div(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Saturating division. Returns the quotient, saturating on overflow.

Panics

Panics if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let one_half = Fix::ONE / 2;
assert_eq!(Fix::ONE.saturating_div(Fix::from_num(2)), one_half);
assert_eq!(Fix::MAX.saturating_div(one_half), Fix::MAX);

pub fn saturating_recip(self) -> FixedI32<Frac>

Saturating reciprocal. Returns the reciprocal, saturating on overflow.

Panics

Panics if the fixed-point number is zero.

Examples

use fixed::{types::extra::U31, FixedI32};
// only one integer bit
type Fix = FixedI32<U31>;
assert_eq!(Fix::from_num(0.25).saturating_recip(), Fix::MAX);
assert_eq!(Fix::from_num(-0.25).saturating_recip(), Fix::MIN);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn saturating_div_euclid(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Saturating Euclidean division. Returns the quotient, saturating on overflow.

Panics

Panics if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(7.5).saturating_div_euclid(Fix::from_num(2)), Fix::from_num(3));
assert_eq!(Fix::MAX.saturating_div_euclid(Fix::from_num(0.25)), Fix::MAX);
assert_eq!(Fix::from_num(-7.5).saturating_div_euclid(Fix::from_num(2)), Fix::from_num(-4));
assert_eq!(Fix::MIN.saturating_div_euclid(Fix::from_num(0.25)), Fix::MIN);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn saturating_div_euclid_int(self, rhs: i32) -> FixedI32<Frac>

Saturating Euclidean division by an integer. Returns the quotient, saturating on overflow.

Overflow can only occur when dividing the minimum value by −1.

Panics

Panics if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(7.5).saturating_div_euclid_int(2), Fix::from_num(3));
assert_eq!(Fix::from_num(-7.5).saturating_div_euclid_int(2), Fix::from_num(-4));
assert_eq!(Fix::MIN.saturating_div_euclid_int(-1), Fix::MAX);

pub fn saturating_mul_acc<AFrac: LeEqU32, BFrac: LeEqU32>(
    &mut self,
    a: FixedI32<AFrac>,
    b: FixedI32<BFrac>
)

Saturating multiply and accumulate. Adds (a × b) to self, saturating on overflow.

For some cases, the product a × b would overflow on its own, but the final result self + a × b is representable; in these cases this method saves the correct result without overflow.

The a and b parameters can have a fixed-point type like self but with a different number of fractional bits.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let mut acc = Fix::from_num(3);
acc.saturating_mul_acc(Fix::from_num(4), Fix::from_num(0.5));
assert_eq!(acc, 5);

acc = Fix::MAX / 2;
acc.saturating_mul_acc(Fix::MAX / 2, Fix::from_num(3));
assert_eq!(acc, Fix::MAX);

// MAX × 1.5 − MAX = MAX / 2, which does not overflow
acc = -Fix::MAX;
acc.saturating_mul_acc(Fix::MAX, Fix::from_num(1.5));
assert_eq!(acc, Fix::MAX / 2);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn saturating_rem_euclid_int(self, rhs: i32) -> FixedI32<Frac>

Saturating remainder for Euclidean division by an integer. Returns the remainder, saturating on overflow.

Panics

Panics if the divisor is zero.

Examples

use fixed::{types::extra::U28, FixedI32};
type Fix = FixedI32<U28>;
assert_eq!(Fix::from_num(7.5).saturating_rem_euclid_int(2), Fix::from_num(1.5));
assert_eq!(Fix::from_num(-7.5).saturating_rem_euclid_int(2), Fix::from_num(0.5));
// −8 ≤ Fix < 8, so the answer 12.5 saturates
assert_eq!(Fix::from_num(-7.5).saturating_rem_euclid_int(20), Fix::MAX);

pub fn wrapping_signum(self) -> FixedI32<Frac>

Wrapping signum. Returns a number representing the sign of self, wrapping on overflow.

Overflow can only occur

• if the value is positive and the fixed-point number has zero or one integer bits such that it cannot hold the value 1.
• if the value is negative and the fixed-point number has zero integer bits, such that it cannot hold the value −1.

Examples

use fixed::{
    types::extra::{U4, U31, U32},
    FixedI32,
};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(5).wrapping_signum(), 1);
assert_eq!(Fix::ZERO.wrapping_signum(), 0);
assert_eq!(Fix::from_num(-5).wrapping_signum(), -1);

type OneIntBit = FixedI32<U31>;
type ZeroIntBits = FixedI32<U32>;
assert_eq!(OneIntBit::from_num(0.5).wrapping_signum(), -1);
assert_eq!(ZeroIntBits::from_num(0.25).wrapping_signum(), 0);
assert_eq!(ZeroIntBits::from_num(-0.5).wrapping_signum(), 0);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn wrapping_mul(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Wrapping multiplication. Returns the product, wrapping on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(3).wrapping_mul(Fix::from_num(2)), Fix::from_num(6));
let wrapped = Fix::from_bits(!0 << 2);
assert_eq!(Fix::MAX.wrapping_mul(Fix::from_num(4)), wrapped);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn wrapping_div(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Wrapping division. Returns the quotient, wrapping on overflow.

Panics

Panics if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let one_point_5 = Fix::from_bits(0b11 << (4 - 1));
assert_eq!(Fix::from_num(3).wrapping_div(Fix::from_num(2)), one_point_5);
let quarter = Fix::ONE / 4;
let wrapped = Fix::from_bits(!0 << 2);
assert_eq!(Fix::MAX.wrapping_div(quarter), wrapped);

pub fn wrapping_recip(self) -> FixedI32<Frac>

Wrapping reciprocal. Returns the reciprocal, wrapping on overflow.

Panics

Panics if the fixed-point number is zero.

Examples

use fixed::{types::extra::U31, FixedI32};
// only one integer bit
type Fix = FixedI32<U31>;
assert_eq!(Fix::from_num(0.25).wrapping_recip(), Fix::ZERO);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn wrapping_div_euclid(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Wrapping Euclidean division. Returns the quotient, wrapping on overflow.

Panics

Panics if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(7.5).wrapping_div_euclid(Fix::from_num(2)), Fix::from_num(3));
let wrapped = Fix::MAX.wrapping_mul_int(4).round_to_zero();
assert_eq!(Fix::MAX.wrapping_div_euclid(Fix::from_num(0.25)), wrapped);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn wrapping_div_euclid_int(self, rhs: i32) -> FixedI32<Frac>

Wrapping Euclidean division by an integer. Returns the quotient, wrapping on overflow.

Overflow can only occur when dividing the minimum value by −1.

Panics

Panics if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(7.5).wrapping_div_euclid_int(2), Fix::from_num(3));
assert_eq!(Fix::from_num(-7.5).wrapping_div_euclid_int(2), Fix::from_num(-4));
let wrapped = Fix::MIN.round_to_zero();
assert_eq!(Fix::MIN.wrapping_div_euclid_int(-1), wrapped);

pub fn wrapping_mul_acc<AFrac: LeEqU32, BFrac: LeEqU32>(
    &mut self,
    a: FixedI32<AFrac>,
    b: FixedI32<BFrac>
)

Wrapping multiply and accumulate. Adds (a × b) to self, wrapping on overflow.

The a and b parameters can have a fixed-point type like self but with a different number of fractional bits.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let mut acc = Fix::from_num(3);
acc.wrapping_mul_acc(Fix::from_num(4), Fix::from_num(0.5));
assert_eq!(acc, 5);

acc = Fix::MAX;
acc.wrapping_mul_acc(Fix::MAX, Fix::from_num(3));
assert_eq!(acc, Fix::MAX.wrapping_mul_int(4));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn wrapping_rem_euclid_int(self, rhs: i32) -> FixedI32<Frac>

Wrapping remainder for Euclidean division by an integer. Returns the remainder, wrapping on overflow.

Note that while remainder for Euclidean division cannot be negative, the wrapped value can be negative.

Panics

Panics if the divisor is zero.

Examples

use fixed::{types::extra::U28, FixedI32};
type Fix = FixedI32<U28>;
assert_eq!(Fix::from_num(7.5).wrapping_rem_euclid_int(2), Fix::from_num(1.5));
assert_eq!(Fix::from_num(-7.5).wrapping_rem_euclid_int(2), Fix::from_num(0.5));
// −8 ≤ Fix < 8, so the answer 12.5 wraps to −3.5
assert_eq!(Fix::from_num(-7.5).wrapping_rem_euclid_int(20), Fix::from_num(-3.5));

pub fn unwrapped_signum(self) -> FixedI32<Frac>

Unwrapped signum. Returns a number representing the sign of self, panicking on overflow.

Overflow can only occur

• if the value is positive and the fixed-point number has zero or one integer bits such that it cannot hold the value 1.
• if the value is negative and the fixed-point number has zero integer bits, such that it cannot hold the value −1.

Panics

Panics if the result does not fit.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(5).unwrapped_signum(), 1);
assert_eq!(Fix::ZERO.unwrapped_signum(), 0);
assert_eq!(Fix::from_num(-5).unwrapped_signum(), -1);

The following panics because of overflow.

use fixed::{types::extra::U31, FixedI32};
type OneIntBit = FixedI32<U31>;
let _overflow = OneIntBit::from_num(0.5).unwrapped_signum();

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn unwrapped_mul(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Unwrapped multiplication. Returns the product, panicking on overflow.

Panics

Panics if the result does not fit.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(3).unwrapped_mul(Fix::from_num(2)), Fix::from_num(6));

The following panics because of overflow.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _overflow = Fix::MAX.unwrapped_mul(Fix::from_num(4));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn unwrapped_div(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Unwrapped division. Returns the quotient, panicking on overflow.

Panics

Panics if the divisor is zero or if the division results in overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let one_point_5 = Fix::from_bits(0b11 << (4 - 1));
assert_eq!(Fix::from_num(3).unwrapped_div(Fix::from_num(2)), one_point_5);

The following panics because of overflow.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let quarter = Fix::ONE / 4;
let _overflow = Fix::MAX.unwrapped_div(quarter);

pub fn unwrapped_recip(self) -> FixedI32<Frac>

Unwrapped reciprocal. Returns the reciprocal, panicking on overflow.

Panics

Panics if the fixed-point number is zero or on overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(0.25).unwrapped_recip(), Fix::from_num(4));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn unwrapped_div_euclid(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Unwrapped Euclidean division. Returns the quotient, panicking on overflow.

Panics

Panics if the divisor is zero or if the division results in overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(7.5).unwrapped_div_euclid(Fix::from_num(2)), Fix::from_num(3));

The following panics because of overflow.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _overflow = Fix::MAX.unwrapped_div_euclid(Fix::from_num(0.25));

pub fn unwrapped_mul_acc<AFrac: LeEqU32, BFrac: LeEqU32>(
    &mut self,
    a: FixedI32<AFrac>,
    b: FixedI32<BFrac>
)

Unwrapped multiply and accumulate. Adds (a × b) to self, panicking on overflow.

For some cases, the product a × b would overflow on its own, but the final result self + a × b is representable; in these cases this method saves the correct result without overflow.

The a and b parameters can have a fixed-point type like self but with a different number of fractional bits.

Panics

Panics if the result does not fit.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let mut acc = Fix::from_num(3);
acc.unwrapped_mul_acc(Fix::from_num(4), Fix::from_num(0.5));
assert_eq!(acc, 5);

// MAX × 1.5 − MAX = MAX / 2, which does not overflow
acc = -Fix::MAX;
acc.unwrapped_mul_acc(Fix::MAX, Fix::from_num(1.5));
assert_eq!(acc, Fix::MAX / 2);

The following panics because of overflow.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let mut acc = Fix::DELTA;
acc.unwrapped_mul_acc(Fix::MAX, Fix::ONE);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn unwrapped_rem_int(self, rhs: i32) -> FixedI32<Frac>

Unwrapped fixed-point remainder for division by an integer. Returns the remainder, panicking if the divisor is zero.

Panics

Panics if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(3.75).unwrapped_rem_int(2), Fix::from_num(1.75));

The following panics because the divisor is zero.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _divisor_is_zero = Fix::from_num(3.75).unwrapped_rem_int(0);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn unwrapped_div_euclid_int(self, rhs: i32) -> FixedI32<Frac>

Unwrapped Euclidean division by an integer. Returns the quotient, panicking on overflow.

Overflow can only occur when dividing the minimum value by −1.

Panics

Panics if the divisor is zero or if the division results in overflow.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(7.5).unwrapped_div_euclid_int(2), Fix::from_num(3));
assert_eq!(Fix::from_num(-7.5).unwrapped_div_euclid_int(2), Fix::from_num(-4));

The following panics because of overflow.

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let _overflow = Fix::MIN.unwrapped_div_euclid_int(-1);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn unwrapped_rem_euclid_int(self, rhs: i32) -> FixedI32<Frac>

Unwrapped remainder for Euclidean division by an integer. Returns the remainder, panicking on overflow.

Note that while remainder for Euclidean division cannot be negative, the wrapped value can be negative.

Panics

Panics if the divisor is zero or if the division results in overflow.

Examples

use fixed::{types::extra::U28, FixedI32};
type Fix = FixedI32<U28>;
assert_eq!(Fix::from_num(7.5).unwrapped_rem_euclid_int(2), Fix::from_num(1.5));
assert_eq!(Fix::from_num(-7.5).unwrapped_rem_euclid_int(2), Fix::from_num(0.5));

The following panics because of overflow.

use fixed::{types::extra::U28, FixedI32};
type Fix = FixedI32<U28>;
// −8 ≤ Fix < 8, so the answer 12.5 overflows
let _overflow = Fix::from_num(-7.5).unwrapped_rem_euclid_int(20);

pub fn overflowing_signum(self) -> (FixedI32<Frac>, bool)

Overflowing signum.

Returns a tuple of the signum and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Overflow can only occur

• if the value is positive and the fixed-point number has zero or one integer bits such that it cannot hold the value 1.
• if the value is negative and the fixed-point number has zero integer bits, such that it cannot hold the value −1.

Examples

use fixed::{
    types::extra::{U4, U31, U32},
    FixedI32,
};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(5).overflowing_signum(), (Fix::ONE, false));
assert_eq!(Fix::ZERO.overflowing_signum(), (Fix::ZERO, false));
assert_eq!(Fix::from_num(-5).overflowing_signum(), (Fix::from_num(-1), false));

type OneIntBit = FixedI32<U31>;
type ZeroIntBits = FixedI32<U32>;
assert_eq!(OneIntBit::from_num(0.5).overflowing_signum(), (OneIntBit::from_num(-1), true));
assert_eq!(ZeroIntBits::from_num(0.25).overflowing_signum(), (ZeroIntBits::ZERO, true));
assert_eq!(ZeroIntBits::from_num(-0.5).overflowing_signum(), (ZeroIntBits::ZERO, true));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn overflowing_mul(self, rhs: FixedI32<Frac>) -> (FixedI32<Frac>, bool)

Overflowing multiplication.

Returns a tuple of the product and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(3).overflowing_mul(Fix::from_num(2)), (Fix::from_num(6), false));
let wrapped = Fix::from_bits(!0 << 2);
assert_eq!(Fix::MAX.overflowing_mul(Fix::from_num(4)), (wrapped, true));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn overflowing_div(self, rhs: FixedI32<Frac>) -> (FixedI32<Frac>, bool)

Overflowing division.

Returns a tuple of the quotient and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Panics

Panics if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let one_point_5 = Fix::from_bits(0b11 << (4 - 1));
assert_eq!(Fix::from_num(3).overflowing_div(Fix::from_num(2)), (one_point_5, false));
let quarter = Fix::ONE / 4;
let wrapped = Fix::from_bits(!0 << 2);
assert_eq!(Fix::MAX.overflowing_div(quarter), (wrapped, true));

pub fn overflowing_recip(self) -> (FixedI32<Frac>, bool)

Overflowing reciprocal.

Returns a tuple of the reciprocal and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Panics

Panics if the fixed-point number is zero.

Examples

use fixed::{
    types::extra::{U4, U31},
    FixedI32,
};
type Fix = FixedI32<U4>;
// only one integer bit
type Small = FixedI32<U31>;
assert_eq!(Fix::from_num(0.25).overflowing_recip(), (Fix::from_num(4), false));
assert_eq!(Small::from_num(0.25).overflowing_recip(), (Small::ZERO, true));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn overflowing_div_euclid(
    self,
    rhs: FixedI32<Frac>
) -> (FixedI32<Frac>, bool)

Overflowing Euclidean division.

Returns a tuple of the quotient and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Panics

Panics if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let check = Fix::from_num(3);
assert_eq!(Fix::from_num(7.5).overflowing_div_euclid(Fix::from_num(2)), (check, false));
let wrapped = Fix::MAX.wrapping_mul_int(4).round_to_zero();
assert_eq!(Fix::MAX.overflowing_div_euclid(Fix::from_num(0.25)), (wrapped, true));

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn overflowing_div_euclid_int(self, rhs: i32) -> (FixedI32<Frac>, bool)

Overflowing Euclidean division by an integer.

Returns a tuple of the quotient and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned. Overflow can only occur when dividing the minimum value by −1.

Panics

Panics if the divisor is zero.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::from_num(7.5).overflowing_div_euclid_int(2), (Fix::from_num(3), false));
assert_eq!(Fix::from_num(-7.5).overflowing_div_euclid_int(2), (Fix::from_num(-4), false));
let wrapped = Fix::MIN.round_to_zero();
assert_eq!(Fix::MIN.overflowing_div_euclid_int(-1), (wrapped, true));

#[must_use = "this returns whether overflow occurs; use `wrapping_mul_acc` if the flag is not needed"]

pub fn overflowing_mul_acc<AFrac: LeEqU32, BFrac: LeEqU32>(
    &mut self,
    a: FixedI32<AFrac>,
    b: FixedI32<BFrac>
) -> bool

Overflowing multiply and accumulate. Adds (a × b) to self, wrapping and returning true if overflow occurs.

For some cases, the product a × b would overflow on its own, but the final result self + a × b is representable; in these cases this method saves the correct result without overflow.

The a and b parameters can have a fixed-point type like self but with a different number of fractional bits.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
let mut acc = Fix::from_num(3);
assert!(!acc.overflowing_mul_acc(Fix::from_num(4), Fix::from_num(0.5)));
assert_eq!(acc, 5);

acc = Fix::MAX;
assert!(acc.overflowing_mul_acc(Fix::MAX, Fix::from_num(3)));
assert_eq!(acc, Fix::MAX.wrapping_mul_int(4));

// MAX × 1.5 − MAX = MAX / 2, which does not overflow
acc = -Fix::MAX;
assert!(!acc.overflowing_mul_acc(Fix::MAX, Fix::from_num(1.5)));
assert_eq!(acc, Fix::MAX / 2);

#[must_use = "this returns the result of the operation, without modifying the original"]

pub fn overflowing_rem_euclid_int(self, rhs: i32) -> (FixedI32<Frac>, bool)

Remainder for Euclidean division by an integer.

Returns a tuple of the remainder and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Note that while remainder for Euclidean division cannot be negative, the wrapped value can be negative.

Panics

Panics if the divisor is zero.

Examples

use fixed::{types::extra::U28, FixedI32};
type Fix = FixedI32<U28>;
assert_eq!(Fix::from_num(7.5).overflowing_rem_euclid_int(2), (Fix::from_num(1.5), false));
assert_eq!(Fix::from_num(-7.5).overflowing_rem_euclid_int(2), (Fix::from_num(0.5), false));
// −8 ≤ Fix < 8, so the answer 12.5 wraps to −3.5
assert_eq!(Fix::from_num(-7.5).overflowing_rem_euclid_int(20), (Fix::from_num(-3.5), true));

impl<Frac: LeEqU32> FixedI32<Frac>

This block contains constants in the range 0 < x < 0.5.

Examples

use fixed::{consts, types::extra::U32, FixedI32};
type Fix = FixedI32<U32>;
assert_eq!(Fix::LOG10_2, Fix::from_num(consts::LOG10_2));

pub const FRAC_1_TAU: FixedI32<Frac>

1/τ = 0.159154…

pub const FRAC_2_TAU: FixedI32<Frac>

2/τ = 0.318309…

pub const FRAC_PI_8: FixedI32<Frac>

π/8 = 0.392699…

pub const FRAC_1_PI: FixedI32<Frac>

1/π = 0.318309…

pub const LOG10_2: FixedI32<Frac>

log₁₀ 2 = 0.301029…

pub const LOG10_E: FixedI32<Frac>

log₁₀ e = 0.434294…

impl<Frac: Unsigned> FixedI32<Frac> where
    Frac: IsLessOrEqual<U31, Output = True>, 

This block contains constants in the range 0.5 ≤ x < 1.

These constants are not representable in signed fixed-point numbers with less than 1 integer bit.

Examples

use fixed::{consts, types::extra::U31, FixedI32};
type Fix = FixedI32<U31>;
assert_eq!(Fix::LN_2, Fix::from_num(consts::LN_2));
assert!(0.5 <= Fix::LN_2 && Fix::LN_2 < 1);

The following example fails to compile, since the maximum representable value with 32 fractional bits and 0 integer bits is < 0.5.

use fixed::{consts, types::extra::U32, FixedI32};
type Fix = FixedI32<U32>;
let _ = Fix::LN_2;

pub const FRAC_TAU_8: FixedI32<Frac>

τ/8 = 0.785398…

pub const FRAC_TAU_12: FixedI32<Frac>

τ/12 = 0.523598…

pub const FRAC_4_TAU: FixedI32<Frac>

4/τ = 0.636619…

pub const FRAC_PI_4: FixedI32<Frac>

π/4 = 0.785398…

pub const FRAC_PI_6: FixedI32<Frac>

π/6 = 0.523598…

pub const FRAC_2_PI: FixedI32<Frac>

2/π = 0.636619…

pub const FRAC_1_SQRT_PI: FixedI32<Frac>

1/√π = 0.564189…

pub const FRAC_1_SQRT_2: FixedI32<Frac>

1/√2 = 0.707106…

pub const FRAC_1_SQRT_3: FixedI32<Frac>

1/√3 = 0.577350…

pub const LN_2: FixedI32<Frac>

ln 2 = 0.693147…

pub const FRAC_1_PHI: FixedI32<Frac>

The golden ratio conjugate, Φ = 1/φ = 0.618033…

pub const GAMMA: FixedI32<Frac>

The Euler-Mascheroni constant, γ = 0.577215…

pub const CATALAN: FixedI32<Frac>

Catalan’s constant = 0.915965…

impl<Frac: Unsigned> FixedI32<Frac> where
    Frac: IsLessOrEqual<U30, Output = True>, 

This block contains constants in the range 1 ≤ x < 2.

These constants are not representable in signed fixed-point numbers with less than 2 integer bits.

Examples

use fixed::{consts, types::extra::U30, FixedI32};
type Fix = FixedI32<U30>;
assert_eq!(Fix::LOG2_E, Fix::from_num(consts::LOG2_E));
assert!(1 <= Fix::LOG2_E && Fix::LOG2_E < 2);

The following example fails to compile, since the maximum representable value with 31 fractional bits and 1 integer bit is < 1.

use fixed::{consts, types::extra::U31, FixedI32};
type Fix = FixedI32<U31>;
let _ = Fix::LOG2_E;

pub const ONE: FixedI32<Frac>

One.

Examples

use fixed::{types::extra::U4, FixedI32};
type Fix = FixedI32<U4>;
assert_eq!(Fix::ONE, Fix::from_num(1));

pub const FRAC_TAU_4: FixedI32<Frac>

τ/4 = 1.57079…

pub const FRAC_TAU_6: FixedI32<Frac>

τ/6 = 1.04719…

pub const FRAC_PI_2: FixedI32<Frac>

π/2 = 1.57079…

pub const FRAC_PI_3: FixedI32<Frac>

π/3 = 1.04719…

pub const SQRT_PI: FixedI32<Frac>

√π = 1.77245…

pub const FRAC_2_SQRT_PI: FixedI32<Frac>

2/√π = 1.12837…

pub const SQRT_2: FixedI32<Frac>

√2 = 1.41421…

pub const SQRT_3: FixedI32<Frac>

√3 = 1.73205…

pub const SQRT_E: FixedI32<Frac>

√e = 1.64872…

pub const LOG2_E: FixedI32<Frac>

log₂ e = 1.44269…

pub const PHI: FixedI32<Frac>

The golden ratio, φ = 1.61803…

pub const SQRT_PHI: FixedI32<Frac>

√φ = 1.27201…

impl<Frac: Unsigned> FixedI32<Frac> where
    Frac: IsLessOrEqual<U29, Output = True>, 

This block contains constants in the range 2 ≤ x < 4.

These constants are not representable in signed fixed-point numbers with less than 3 integer bits.

Examples

use fixed::{consts, types::extra::U29, FixedI32};
type Fix = FixedI32<U29>;
assert_eq!(Fix::E, Fix::from_num(consts::E));
assert!(2 <= Fix::E && Fix::E < 4);

The following example fails to compile, since the maximum representable value with 30 fractional bits and 2 integer bits is < 2.

use fixed::{consts, types::extra::U30, FixedI32};
type Fix = FixedI32<U30>;
let _ = Fix::E;

pub const FRAC_TAU_2: FixedI32<Frac>

τ/2 = 3.14159…

pub const FRAC_TAU_3: FixedI32<Frac>

τ/3 = 2.09439…

pub const PI: FixedI32<Frac>

Archimedes’ constant, π = 3.14159…

pub const E: FixedI32<Frac>

Euler’s number, e = 2.71828…

pub const LOG2_10: FixedI32<Frac>

log₂ 10 = 3.32192…

pub const LN_10: FixedI32<Frac>

ln 10 = 2.30258…

impl<Frac: Unsigned> FixedI32<Frac> where
    Frac: IsLessOrEqual<U28, Output = True>, 

This block contains constants in the range 4 ≤ x < 8.

These constants are not representable in signed fixed-point numbers with less than 4 integer bits.

Examples

use fixed::{consts, types::extra::U28, FixedI32};
type Fix = FixedI32<U28>;
assert_eq!(Fix::TAU, Fix::from_num(consts::TAU));
assert!(4 <= Fix::TAU && Fix::TAU < 8);

The following example fails to compile, since the maximum representable value with 29 fractional bits and 3 integer bits is < 4.

use fixed::{consts, types::extra::U29, FixedI32};
type Fix = FixedI32<U29>;
let _ = Fix::TAU;

pub const TAU: FixedI32<Frac>

A turn, τ = 6.28318…

Trait Implementations

impl<Frac> Add<&'_ FixedI32<Frac>> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the + operator.

fn add(self, rhs: &FixedI32<Frac>) -> FixedI32<Frac>

Performs the + operation.

impl<Frac> Add<&'_ FixedI32<Frac>> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the + operator.

fn add(self, rhs: &FixedI32<Frac>) -> FixedI32<Frac>

Performs the + operation.

impl<Frac> Add<FixedI32<Frac>> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the + operator.

fn add(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Performs the + operation.

impl<Frac> Add<FixedI32<Frac>> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the + operator.

fn add(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Performs the + operation.

impl<Frac> AddAssign<&'_ FixedI32<Frac>> for FixedI32<Frac>

fn add_assign(&mut self, rhs: &FixedI32<Frac>)

Performs the += operation.

impl<Frac> AddAssign<FixedI32<Frac>> for FixedI32<Frac>

fn add_assign(&mut self, rhs: FixedI32<Frac>)

Performs the += operation.

impl<Frac: LeEqU32> Binary for FixedI32<Frac>

fn fmt(&self, f: &mut Formatter<'_>) -> FmtResult

Formats the value using the given formatter.

impl<Frac> BitAnd<&'_ FixedI32<Frac>> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the & operator.

fn bitand(self, rhs: &FixedI32<Frac>) -> FixedI32<Frac>

Performs the & operation.

impl<Frac> BitAnd<&'_ FixedI32<Frac>> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the & operator.

fn bitand(self, rhs: &FixedI32<Frac>) -> FixedI32<Frac>

Performs the & operation.

impl<Frac> BitAnd<FixedI32<Frac>> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the & operator.

fn bitand(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Performs the & operation.

impl<Frac> BitAnd<FixedI32<Frac>> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the & operator.

fn bitand(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Performs the & operation.

impl<Frac> BitAndAssign<&'_ FixedI32<Frac>> for FixedI32<Frac>

fn bitand_assign(&mut self, rhs: &FixedI32<Frac>)

Performs the &= operation.

impl<Frac> BitAndAssign<FixedI32<Frac>> for FixedI32<Frac>

fn bitand_assign(&mut self, rhs: FixedI32<Frac>)

Performs the &= operation.

impl<Frac> BitOr<&'_ FixedI32<Frac>> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the | operator.

fn bitor(self, rhs: &FixedI32<Frac>) -> FixedI32<Frac>

Performs the | operation.

impl<Frac> BitOr<&'_ FixedI32<Frac>> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the | operator.

fn bitor(self, rhs: &FixedI32<Frac>) -> FixedI32<Frac>

Performs the | operation.

impl<Frac> BitOr<FixedI32<Frac>> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the | operator.

fn bitor(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Performs the | operation.

impl<Frac> BitOr<FixedI32<Frac>> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the | operator.

fn bitor(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Performs the | operation.

impl<Frac> BitOrAssign<&'_ FixedI32<Frac>> for FixedI32<Frac>

fn bitor_assign(&mut self, rhs: &FixedI32<Frac>)

Performs the |= operation.

impl<Frac> BitOrAssign<FixedI32<Frac>> for FixedI32<Frac>

fn bitor_assign(&mut self, rhs: FixedI32<Frac>)

Performs the |= operation.

impl<Frac> BitXor<&'_ FixedI32<Frac>> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the ^ operator.

fn bitxor(self, rhs: &FixedI32<Frac>) -> FixedI32<Frac>

Performs the ^ operation.

impl<Frac> BitXor<&'_ FixedI32<Frac>> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the ^ operator.

fn bitxor(self, rhs: &FixedI32<Frac>) -> FixedI32<Frac>

Performs the ^ operation.

impl<Frac> BitXor<FixedI32<Frac>> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the ^ operator.

fn bitxor(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Performs the ^ operation.

impl<Frac> BitXor<FixedI32<Frac>> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the ^ operator.

fn bitxor(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Performs the ^ operation.

impl<Frac> BitXorAssign<&'_ FixedI32<Frac>> for FixedI32<Frac>

fn bitxor_assign(&mut self, rhs: &FixedI32<Frac>)

Performs the ^= operation.

impl<Frac> BitXorAssign<FixedI32<Frac>> for FixedI32<Frac>

fn bitxor_assign(&mut self, rhs: FixedI32<Frac>)

Performs the ^= operation.

impl<Frac> Bounded for FixedI32<Frac>

fn min_value() -> Self

returns the smallest finite number this type can represent

fn max_value() -> Self

returns the largest finite number this type can represent

impl<Frac: LeEqU32> Cast<F128Bits> for FixedI32<Frac>

fn cast(self) -> F128Bits

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU128> Cast<FixedI128<FracDst>> for FixedI32<FracSrc>

fn cast(self) -> FixedI128<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU16> Cast<FixedI16<FracDst>> for FixedI32<FracSrc>

fn cast(self) -> FixedI16<FracDst>

Casts the value.

impl<Frac: LeEqU32> Cast<FixedI32<Frac>> for F128Bits

fn cast(self) -> FixedI32<Frac>

Casts the value.

impl<FracSrc: LeEqU8, FracDst: LeEqU32> Cast<FixedI32<FracDst>> for FixedI8<FracSrc>

fn cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU16, FracDst: LeEqU32> Cast<FixedI32<FracDst>> for FixedI16<FracSrc>

fn cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> Cast<FixedI32<FracDst>> for FixedI32<FracSrc>

fn cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU64, FracDst: LeEqU32> Cast<FixedI32<FracDst>> for FixedI64<FracSrc>

fn cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU128, FracDst: LeEqU32> Cast<FixedI32<FracDst>> for FixedI128<FracSrc>

fn cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU8, FracDst: LeEqU32> Cast<FixedI32<FracDst>> for FixedU8<FracSrc>

fn cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU16, FracDst: LeEqU32> Cast<FixedI32<FracDst>> for FixedU16<FracSrc>

fn cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> Cast<FixedI32<FracDst>> for FixedU32<FracSrc>

fn cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU64, FracDst: LeEqU32> Cast<FixedI32<FracDst>> for FixedU64<FracSrc>

fn cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU128, FracDst: LeEqU32> Cast<FixedI32<FracDst>> for FixedU128<FracSrc>

fn cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU64> Cast<FixedI64<FracDst>> for FixedI32<FracSrc>

fn cast(self) -> FixedI64<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU8> Cast<FixedI8<FracDst>> for FixedI32<FracSrc>

fn cast(self) -> FixedI8<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU128> Cast<FixedU128<FracDst>> for FixedI32<FracSrc>

fn cast(self) -> FixedU128<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU16> Cast<FixedU16<FracDst>> for FixedI32<FracSrc>

fn cast(self) -> FixedU16<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> Cast<FixedU32<FracDst>> for FixedI32<FracSrc>

fn cast(self) -> FixedU32<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU64> Cast<FixedU64<FracDst>> for FixedI32<FracSrc>

fn cast(self) -> FixedU64<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU8> Cast<FixedU8<FracDst>> for FixedI32<FracSrc>

fn cast(self) -> FixedU8<FracDst>

Casts the value.

impl<Frac: LeEqU32> Cast<bf16> for FixedI32<Frac>

fn cast(self) -> bf16

Casts the value.

impl<Frac: LeEqU32> Cast<f16> for FixedI32<Frac>

fn cast(self) -> f16

Casts the value.

impl<Frac: LeEqU32> Cast<f32> for FixedI32<Frac>

fn cast(self) -> f32

Casts the value.

impl<Frac: LeEqU32> Cast<f64> for FixedI32<Frac>

fn cast(self) -> f64

Casts the value.

impl<Frac: LeEqU32> Cast<i128> for FixedI32<Frac>

fn cast(self) -> i128

Casts the value.

impl<Frac: LeEqU32> Cast<i16> for FixedI32<Frac>

fn cast(self) -> i16

Casts the value.

impl<Frac: LeEqU32> Cast<i32> for FixedI32<Frac>

fn cast(self) -> i32

Casts the value.

impl<Frac: LeEqU32> Cast<i64> for FixedI32<Frac>

fn cast(self) -> i64

Casts the value.

impl<Frac: LeEqU32> Cast<i8> for FixedI32<Frac>

fn cast(self) -> i8

Casts the value.

impl<Frac: LeEqU32> Cast<isize> for FixedI32<Frac>

fn cast(self) -> isize

Casts the value.

impl<Frac: LeEqU32> Cast<u128> for FixedI32<Frac>

fn cast(self) -> u128

Casts the value.

impl<Frac: LeEqU32> Cast<u16> for FixedI32<Frac>

fn cast(self) -> u16

Casts the value.

impl<Frac: LeEqU32> Cast<u32> for FixedI32<Frac>

fn cast(self) -> u32

Casts the value.

impl<Frac: LeEqU32> Cast<u64> for FixedI32<Frac>

fn cast(self) -> u64

Casts the value.

impl<Frac: LeEqU32> Cast<u8> for FixedI32<Frac>

fn cast(self) -> u8

Casts the value.

impl<Frac: LeEqU32> Cast<usize> for FixedI32<Frac>

fn cast(self) -> usize

Casts the value.

impl<Frac> CheckedAdd for FixedI32<Frac>

fn checked_add(&self, v: &Self) -> Option<Self>

Adds two numbers, checking for overflow. If overflow happens, None is returned.

impl<Frac: LeEqU32> CheckedCast<F128Bits> for FixedI32<Frac>

fn checked_cast(self) -> Option<F128Bits>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU128> CheckedCast<FixedI128<FracDst>> for FixedI32<FracSrc>

fn checked_cast(self) -> Option<FixedI128<FracDst>>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU16> CheckedCast<FixedI16<FracDst>> for FixedI32<FracSrc>

fn checked_cast(self) -> Option<FixedI16<FracDst>>

Casts the value.

impl<Frac: LeEqU32> CheckedCast<FixedI32<Frac>> for F128Bits

fn checked_cast(self) -> Option<FixedI32<Frac>>

Casts the value.

impl<FracSrc: LeEqU8, FracDst: LeEqU32> CheckedCast<FixedI32<FracDst>> for FixedI8<FracSrc>

fn checked_cast(self) -> Option<FixedI32<FracDst>>

Casts the value.

impl<FracSrc: LeEqU16, FracDst: LeEqU32> CheckedCast<FixedI32<FracDst>> for FixedI16<FracSrc>

fn checked_cast(self) -> Option<FixedI32<FracDst>>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> CheckedCast<FixedI32<FracDst>> for FixedI32<FracSrc>

fn checked_cast(self) -> Option<FixedI32<FracDst>>

Casts the value.

impl<FracSrc: LeEqU64, FracDst: LeEqU32> CheckedCast<FixedI32<FracDst>> for FixedI64<FracSrc>

fn checked_cast(self) -> Option<FixedI32<FracDst>>

Casts the value.

impl<FracSrc: LeEqU128, FracDst: LeEqU32> CheckedCast<FixedI32<FracDst>> for FixedI128<FracSrc>

fn checked_cast(self) -> Option<FixedI32<FracDst>>

Casts the value.

impl<FracSrc: LeEqU8, FracDst: LeEqU32> CheckedCast<FixedI32<FracDst>> for FixedU8<FracSrc>

fn checked_cast(self) -> Option<FixedI32<FracDst>>

Casts the value.

impl<FracSrc: LeEqU16, FracDst: LeEqU32> CheckedCast<FixedI32<FracDst>> for FixedU16<FracSrc>

fn checked_cast(self) -> Option<FixedI32<FracDst>>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> CheckedCast<FixedI32<FracDst>> for FixedU32<FracSrc>

fn checked_cast(self) -> Option<FixedI32<FracDst>>

Casts the value.

impl<FracSrc: LeEqU64, FracDst: LeEqU32> CheckedCast<FixedI32<FracDst>> for FixedU64<FracSrc>

fn checked_cast(self) -> Option<FixedI32<FracDst>>

Casts the value.

impl<FracSrc: LeEqU128, FracDst: LeEqU32> CheckedCast<FixedI32<FracDst>> for FixedU128<FracSrc>

fn checked_cast(self) -> Option<FixedI32<FracDst>>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU64> CheckedCast<FixedI64<FracDst>> for FixedI32<FracSrc>

fn checked_cast(self) -> Option<FixedI64<FracDst>>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU8> CheckedCast<FixedI8<FracDst>> for FixedI32<FracSrc>

fn checked_cast(self) -> Option<FixedI8<FracDst>>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU128> CheckedCast<FixedU128<FracDst>> for FixedI32<FracSrc>

fn checked_cast(self) -> Option<FixedU128<FracDst>>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU16> CheckedCast<FixedU16<FracDst>> for FixedI32<FracSrc>

fn checked_cast(self) -> Option<FixedU16<FracDst>>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> CheckedCast<FixedU32<FracDst>> for FixedI32<FracSrc>

fn checked_cast(self) -> Option<FixedU32<FracDst>>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU64> CheckedCast<FixedU64<FracDst>> for FixedI32<FracSrc>

fn checked_cast(self) -> Option<FixedU64<FracDst>>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU8> CheckedCast<FixedU8<FracDst>> for FixedI32<FracSrc>

fn checked_cast(self) -> Option<FixedU8<FracDst>>

Casts the value.

impl<Frac: LeEqU32> CheckedCast<bf16> for FixedI32<Frac>

fn checked_cast(self) -> Option<bf16>

Casts the value.

impl<Frac: LeEqU32> CheckedCast<f16> for FixedI32<Frac>

fn checked_cast(self) -> Option<f16>

Casts the value.

impl<Frac: LeEqU32> CheckedCast<f32> for FixedI32<Frac>

fn checked_cast(self) -> Option<f32>

Casts the value.

impl<Frac: LeEqU32> CheckedCast<f64> for FixedI32<Frac>

fn checked_cast(self) -> Option<f64>

Casts the value.

impl<Frac: LeEqU32> CheckedCast<i128> for FixedI32<Frac>

fn checked_cast(self) -> Option<i128>

Casts the value.

impl<Frac: LeEqU32> CheckedCast<i16> for FixedI32<Frac>

fn checked_cast(self) -> Option<i16>

Casts the value.

impl<Frac: LeEqU32> CheckedCast<i32> for FixedI32<Frac>

fn checked_cast(self) -> Option<i32>

Casts the value.

impl<Frac: LeEqU32> CheckedCast<i64> for FixedI32<Frac>

fn checked_cast(self) -> Option<i64>

Casts the value.

impl<Frac: LeEqU32> CheckedCast<i8> for FixedI32<Frac>

fn checked_cast(self) -> Option<i8>

Casts the value.

impl<Frac: LeEqU32> CheckedCast<isize> for FixedI32<Frac>

fn checked_cast(self) -> Option<isize>

Casts the value.

impl<Frac: LeEqU32> CheckedCast<u128> for FixedI32<Frac>

fn checked_cast(self) -> Option<u128>

Casts the value.

impl<Frac: LeEqU32> CheckedCast<u16> for FixedI32<Frac>

fn checked_cast(self) -> Option<u16>

Casts the value.

impl<Frac: LeEqU32> CheckedCast<u32> for FixedI32<Frac>

fn checked_cast(self) -> Option<u32>

Casts the value.

impl<Frac: LeEqU32> CheckedCast<u64> for FixedI32<Frac>

fn checked_cast(self) -> Option<u64>

Casts the value.

impl<Frac: LeEqU32> CheckedCast<u8> for FixedI32<Frac>

fn checked_cast(self) -> Option<u8>

Casts the value.

impl<Frac: LeEqU32> CheckedCast<usize> for FixedI32<Frac>

fn checked_cast(self) -> Option<usize>

Casts the value.

impl<Frac: LeEqU32> CheckedDiv for FixedI32<Frac>

fn checked_div(&self, v: &Self) -> Option<Self>

Divides two numbers, checking for underflow, overflow and division by zero. If any of that happens, None is returned.

impl<Frac: LeEqU32> CheckedMul for FixedI32<Frac>

fn checked_mul(&self, v: &Self) -> Option<Self>

Multiplies two numbers, checking for underflow or overflow. If underflow or overflow happens, None is returned.

impl<Frac> CheckedNeg for FixedI32<Frac>

fn checked_neg(&self) -> Option<Self>

Negates a number, returning None for results that can’t be represented, like signed MIN values that can’t be positive, or non-zero unsigned values that can’t be negative.

impl<Frac> CheckedRem for FixedI32<Frac>

fn checked_rem(&self, v: &Self) -> Option<Self>

Finds the remainder of dividing two numbers, checking for underflow, overflow and division by zero. If any of that happens, None is returned.

impl<Frac> CheckedShl for FixedI32<Frac>

fn checked_shl(&self, rhs: u32) -> Option<Self>

Checked shift left. Computes self << rhs, returning None if rhs is larger than or equal to the number of bits in self.

impl<Frac> CheckedShr for FixedI32<Frac>

fn checked_shr(&self, rhs: u32) -> Option<Self>

Checked shift right. Computes self >> rhs, returning None if rhs is larger than or equal to the number of bits in self.

impl<Frac> CheckedSub for FixedI32<Frac>

fn checked_sub(&self, v: &Self) -> Option<Self>

Subtracts two numbers, checking for underflow. If underflow happens, None is returned.

impl<Frac> Clone for FixedI32<Frac>

fn clone(&self) -> FixedI32<Frac>

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl<Frac: LeEqU32> Debug for FixedI32<Frac>

fn fmt(&self, f: &mut Formatter<'_>) -> FmtResult

Formats the value using the given formatter.

impl<Frac> Default for FixedI32<Frac>

fn default() -> Self

Returns the “default value” for a type.

impl<'de, Frac: LeEqU32> Deserialize<'de> for FixedI32<Frac>

fn deserialize<D: Deserializer<'de>>(deserializer: D) -> Result<Self, D::Error>

Deserialize this value from the given Serde deserializer.

impl<Frac: LeEqU32> Display for FixedI32<Frac>

fn fmt(&self, f: &mut Formatter<'_>) -> FmtResult

Formats the value using the given formatter.

impl<Frac: LeEqU32> Div<&'_ FixedI32<Frac>> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the / operator.

fn div(self, rhs: &FixedI32<Frac>) -> FixedI32<Frac>

Performs the / operation.

impl<Frac: LeEqU32> Div<&'_ FixedI32<Frac>> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the / operator.

fn div(self, rhs: &FixedI32<Frac>) -> FixedI32<Frac>

Performs the / operation.

impl<Frac: LeEqU32> Div<&'_ i32> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the / operator.

fn div(self, rhs: &i32) -> FixedI32<Frac>

Performs the / operation.

impl<Frac: LeEqU32> Div<&'_ i32> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the / operator.

fn div(self, rhs: &i32) -> FixedI32<Frac>

Performs the / operation.

impl<Frac: LeEqU32> Div<FixedI32<Frac>> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the / operator.

fn div(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Performs the / operation.

impl<Frac: LeEqU32> Div<FixedI32<Frac>> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the / operator.

fn div(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Performs the / operation.

impl<Frac: LeEqU32> Div<i32> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the / operator.

fn div(self, rhs: i32) -> FixedI32<Frac>

Performs the / operation.

impl<Frac: LeEqU32> Div<i32> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the / operator.

fn div(self, rhs: i32) -> FixedI32<Frac>

Performs the / operation.

impl<Frac: LeEqU32> DivAssign<&'_ FixedI32<Frac>> for FixedI32<Frac>

fn div_assign(&mut self, rhs: &FixedI32<Frac>)

Performs the /= operation.

impl<Frac: LeEqU32> DivAssign<&'_ i32> for FixedI32<Frac>

fn div_assign(&mut self, rhs: &i32)

Performs the /= operation.

impl<Frac: LeEqU32> DivAssign<FixedI32<Frac>> for FixedI32<Frac>

fn div_assign(&mut self, rhs: FixedI32<Frac>)

Performs the /= operation.

impl<Frac: LeEqU32> DivAssign<i32> for FixedI32<Frac>

fn div_assign(&mut self, rhs: i32)

Performs the /= operation.

impl<Frac: LeEqU32> Fixed for FixedI32<Frac>

type Bits = i32

The primitive integer underlying type.

type Bytes = [u8; 4]

A byte array with the same size as the type.

type Frac = Frac

The number of fractional bits as a compile-time Unsigned as provided by the typenum crate.

type Signed = FixedI32<Frac>

An unsigned fixed-point number type with the same number of integer and fractional bits as Self.

type Unsigned = FixedU32<Frac>

An unsigned fixed-point number type with the same number of integer and fractional bits as Self.

const ZERO: Self

Zero.

const DELTA: Self

The difference between any two successive representable numbers, Δ.

const MIN: Self

The smallest value that can be represented.

const MAX: Self

The largest value that can be represented.

const IS_SIGNED: bool

true if the type is signed.

const INT_NBITS: u32

The number of integer bits.

const FRAC_NBITS: u32

The number of fractional bits.

fn from_bits(bits: Self::Bits) -> Self

Creates a fixed-point number that has a bitwise representation identical to the given integer.

fn to_bits(self) -> Self::Bits

Creates an integer that has a bitwise representation identical to the given fixed-point number.

fn from_be(fixed: Self) -> Self

Converts a fixed-point number from big endian to the target’s endianness.

fn from_le(fixed: Self) -> Self

Converts a fixed-point number from little endian to the target’s endianness.

fn to_be(self) -> Self

Converts this fixed-point number to big endian from the target’s endianness.

fn to_le(self) -> Self

Converts this fixed-point number to little endian from the target’s endianness.

fn swap_bytes(self) -> Self

Reverses the byte order of the fixed-point number.

fn from_be_bytes(bits: Self::Bytes) -> Self

Creates a fixed-point number from its representation as a byte array in big endian.

fn from_le_bytes(bits: Self::Bytes) -> Self

Creates a fixed-point number from its representation as a byte array in little endian.

fn from_ne_bytes(bits: Self::Bytes) -> Self

Creates a fixed-point number from its representation as a byte array in native endian.

fn to_be_bytes(self) -> Self::Bytes

Returns the memory representation of this fixed-point number as a byte array in big-endian byte order.

fn to_le_bytes(self) -> Self::Bytes

Returns the memory representation of this fixed-point number as a byte array in little-endian byte order.

fn to_ne_bytes(self) -> Self::Bytes

Returns the memory representation of this fixed-point number as a byte array in native byte order.

fn from_num<Src: ToFixed>(src: Src) -> Self

Creates a fixed-point number from another number.

fn to_num<Dst: FromFixed>(self) -> Dst

Converts a fixed-point number to another number.

fn checked_from_num<Src: ToFixed>(val: Src) -> Option<Self>

Creates a fixed-point number from another number if it fits, otherwise returns None.

fn checked_to_num<Dst: FromFixed>(self) -> Option<Dst>

Converts a fixed-point number to another number if it fits, otherwise returns None.

fn saturating_from_num<Src: ToFixed>(val: Src) -> Self

Creates a fixed-point number from another number, saturating the value if it does not fit.

fn saturating_to_num<Dst: FromFixed>(self) -> Dst

Converts a fixed-point number to another number, saturating the value if it does not fit.

fn wrapping_from_num<Src: ToFixed>(val: Src) -> Self

Creates a fixed-point number from another number, wrapping the value on overflow.

fn wrapping_to_num<Dst: FromFixed>(self) -> Dst

Converts a fixed-point number to another number, wrapping the value on overflow.

fn unwrapped_from_num<Src: ToFixed>(val: Src) -> Self

Creates a fixed-point number from another number, panicking on overflow.

fn unwrapped_to_num<Dst: FromFixed>(self) -> Dst

Converts a fixed-point number to another number, panicking on overflow.

fn overflowing_from_num<Src: ToFixed>(val: Src) -> (Self, bool)

Creates a fixed-point number from another number.

fn overflowing_to_num<Dst: FromFixed>(self) -> (Dst, bool)

Converts a fixed-point number to another number.

fn from_str_binary(src: &str) -> Result<Self, ParseFixedError>

Parses a string slice containing binary digits to return a fixed-point number.

fn from_str_octal(src: &str) -> Result<Self, ParseFixedError>

Parses a string slice containing octal digits to return a fixed-point number.

fn from_str_hex(src: &str) -> Result<Self, ParseFixedError>

Parses a string slice containing hexadecimal digits to return a fixed-point number.

fn saturating_from_str(src: &str) -> Result<Self, ParseFixedError>

Parses a string slice containing decimal digits to return a fixed-point number, saturating on overflow.

fn saturating_from_str_binary(src: &str) -> Result<Self, ParseFixedError>

Parses a string slice containing binary digits to return a fixed-point number, saturating on overflow.

fn saturating_from_str_octal(src: &str) -> Result<Self, ParseFixedError>

Parses a string slice containing octal digits to return a fixed-point number, saturating on overflow.

fn saturating_from_str_hex(src: &str) -> Result<Self, ParseFixedError>

Parses a string slice containing hexadecimal digits to return a fixed-point number, saturating on overflow.

fn wrapping_from_str(src: &str) -> Result<Self, ParseFixedError>

Parses a string slice containing decimal digits to return a fixed-point number, wrapping on overflow.

fn wrapping_from_str_binary(src: &str) -> Result<Self, ParseFixedError>

Parses a string slice containing binary digits to return a fixed-point number, wrapping on overflow.

fn wrapping_from_str_octal(src: &str) -> Result<Self, ParseFixedError>

Parses a string slice containing octal digits to return a fixed-point number, wrapping on overflow.

fn wrapping_from_str_hex(src: &str) -> Result<Self, ParseFixedError>

Parses a string slice containing hexadecimal digits to return a fixed-point number, wrapping on overflow.

fn overflowing_from_str(src: &str) -> Result<(Self, bool), ParseFixedError>

Parses a string slice containing decimal digits to return a fixed-point number.

fn overflowing_from_str_binary(
    src: &str
) -> Result<(Self, bool), ParseFixedError>

Parses a string slice containing binary digits to return a fixed-point number.

fn overflowing_from_str_octal(
    src: &str
) -> Result<(Self, bool), ParseFixedError>

Parses a string slice containing octal digits to return a fixed-point number.

fn overflowing_from_str_hex(src: &str) -> Result<(Self, bool), ParseFixedError>

Parses a string slice containing hexadecimal digits to return a fixed-point number.

fn int(self) -> Self

Returns the integer part.

fn frac(self) -> Self

Returns the fractional part.

fn ceil(self) -> Self

Rounds to the next integer towards +∞.

fn floor(self) -> Self

Rounds to the next integer towards −∞.

fn round_to_zero(self) -> Self

Rounds to the next integer towards 0.

fn round(self) -> Self

Rounds to the nearest integer, with ties rounded away from zero.

fn round_ties_to_even(self) -> Self

Rounds to the nearest integer, with ties rounded to even.

fn checked_ceil(self) -> Option<Self>

Checked ceil. Rounds to the next integer towards +∞, returning None on overflow.

fn checked_floor(self) -> Option<Self>

Checked floor. Rounds to the next integer towards −∞, returning None on overflow.

fn checked_round(self) -> Option<Self>

Checked round. Rounds to the nearest integer, with ties rounded away from zero, returning None on overflow.

fn checked_round_ties_to_even(self) -> Option<Self>

Checked round. Rounds to the nearest integer, with ties rounded to even, returning None on overflow.

fn saturating_ceil(self) -> Self

Saturating ceil. Rounds to the next integer towards +∞, saturating on overflow.

fn saturating_floor(self) -> Self

Saturating floor. Rounds to the next integer towards −∞, saturating on overflow.

fn saturating_round(self) -> Self

Saturating round. Rounds to the nearest integer, with ties rounded away from zero, and saturating on overflow.

fn saturating_round_ties_to_even(self) -> Self

Saturating round. Rounds to the nearest integer, with ties rounded to_even, and saturating on overflow.

fn wrapping_ceil(self) -> Self

Wrapping ceil. Rounds to the next integer towards +∞, wrapping on overflow.

fn wrapping_floor(self) -> Self

Wrapping floor. Rounds to the next integer towards −∞, wrapping on overflow.

fn wrapping_round(self) -> Self

Wrapping round. Rounds to the next integer to the nearest, with ties rounded away from zero, and wrapping on overflow.

fn wrapping_round_ties_to_even(self) -> Self

Wrapping round. Rounds to the next integer to the nearest, with ties rounded to even, and wrapping on overflow.

fn unwrapped_ceil(self) -> Self

Unwrapped ceil. Rounds to the next integer towards +∞, panicking on overflow.

fn unwrapped_floor(self) -> Self

Unwrapped floor. Rounds to the next integer towards −∞, panicking on overflow.

fn unwrapped_round(self) -> Self

Unwrapped round. Rounds to the next integer to the nearest, with ties rounded away from zero, and panicking on overflow.

fn unwrapped_round_ties_to_even(self) -> Self

Unwrapped round. Rounds to the next integer to the nearest, with ties rounded to even, and panicking on overflow.

fn overflowing_ceil(self) -> (Self, bool)

Overflowing ceil. Rounds to the next integer towards +∞.

fn overflowing_floor(self) -> (Self, bool)

Overflowing floor. Rounds to the next integer towards −∞.

fn overflowing_round(self) -> (Self, bool)

Overflowing round. Rounds to the next integer to the nearest, with ties rounded away from zero.

fn overflowing_round_ties_to_even(self) -> (Self, bool)

Overflowing round. Rounds to the next integer to the nearest, with ties rounded to even.

fn count_ones(self) -> u32

Returns the number of ones in the binary representation.

fn count_zeros(self) -> u32

Returns the number of zeros in the binary representation.

fn leading_ones(self) -> u32

Returns the number of leading ones in the binary representation.

fn leading_zeros(self) -> u32

Returns the number of leading zeros in the binary representation.

fn trailing_ones(self) -> u32

Returns the number of trailing ones in the binary representation.

fn trailing_zeros(self) -> u32

Returns the number of trailing zeros in the binary representation.

fn int_log2(self) -> i32

Integer base-2 logarithm, rounded down.

fn int_log10(self) -> i32

Integer base-10 logarithm, rounded down.

fn checked_int_log2(self) -> Option<i32>

Checked integer base-2 logarithm, rounded down. Returns the logarithm or None if the fixed-point number is ≤ 0.

fn checked_int_log10(self) -> Option<i32>

Checked integer base-10 logarithm, rounded down. Returns the logarithm or None if the fixed-point number is ≤ 0.

fn reverse_bits(self) -> Self

Reverses the order of the bits of the fixed-point number.

fn rotate_left(self, n: u32) -> Self

Shifts to the left by n bits, wrapping the truncated bits to the right end.

fn rotate_right(self, n: u32) -> Self

Shifts to the right by n bits, wrapping the truncated bits to the left end.

fn is_zero(self) -> bool

Returns true if the number is zero.

fn dist(self, other: Self) -> Self

Returns the distance from self to other.

fn mean(self, other: Self) -> Self

Returns the mean of self and other.

fn recip(self) -> Self

Returns the reciprocal.

fn mul_add(self, mul: Self, add: Self) -> Self

Multiply and add. Returns self × mul + add.

fn mul_acc(&mut self, a: Self, b: Self)

Multiply and accumulate. Adds (a × b) to self.

fn div_euclid(self, rhs: Self) -> Self

Euclidean division by an integer.

fn rem_euclid(self, rhs: Self) -> Self

Remainder for Euclidean division.

fn div_euclid_int(self, rhs: Self::Bits) -> Self

Euclidean division by an integer.

fn rem_euclid_int(self, rhs: Self::Bits) -> Self

Remainder for Euclidean division by an integer.

fn checked_neg(self) -> Option<Self>

Checked negation. Returns the negated value, or None on overflow.

fn checked_add(self, rhs: Self) -> Option<Self>

Checked addition. Returns the sum, or None on overflow.

fn checked_sub(self, rhs: Self) -> Option<Self>

Checked subtraction. Returns the difference, or None on overflow.

fn checked_mul(self, rhs: Self) -> Option<Self>

Checked multiplication. Returns the product, or None on overflow.

fn checked_div(self, rhs: Self) -> Option<Self>

Checked division. Returns the quotient, or None if the divisor is zero or on overflow.

fn checked_rem(self, rhs: Self) -> Option<Self>

Checked remainder. Returns the remainder, or None if the divisor is zero.

fn checked_recip(self) -> Option<Self>

Checked reciprocal. Returns the reciprocal, or None if self is zero or on overflow.

fn checked_mul_add(self, mul: Self, add: Self) -> Option<Self>

Checked multiply and add. Returns self × mul + add, or None on overflow.

fn checked_mul_acc(&mut self, a: Self, b: Self) -> Option<()>

Checked multiply and accumulate. Adds (a × b) to self, or returns None on overflow.

fn checked_div_euclid(self, rhs: Self) -> Option<Self>

Checked remainder for Euclidean division. Returns the remainder, or None if the divisor is zero or the division results in overflow.

fn checked_rem_euclid(self, rhs: Self) -> Option<Self>

Checked remainder for Euclidean division. Returns the remainder, or None if the divisor is zero.

fn checked_mul_int(self, rhs: Self::Bits) -> Option<Self>

Checked multiplication by an integer. Returns the product, or None on overflow.

fn checked_div_int(self, rhs: Self::Bits) -> Option<Self>

Checked division by an integer. Returns the quotient, or None if the divisor is zero or if the division results in overflow.

fn checked_rem_int(self, rhs: Self::Bits) -> Option<Self>

Checked fixed-point remainder for division by an integer. Returns the remainder, or None if the divisor is zero or if the division results in overflow.

fn checked_div_euclid_int(self, rhs: Self::Bits) -> Option<Self>

Checked Euclidean division by an integer. Returns the quotient, or None if the divisor is zero or if the division results in overflow.

fn checked_rem_euclid_int(self, rhs: Self::Bits) -> Option<Self>

Checked remainder for Euclidean division by an integer. Returns the remainder, or None if the divisor is zero or if the remainder results in overflow.

fn checked_shl(self, rhs: u32) -> Option<Self>

Checked shift left. Returns the shifted number, or None if rhs ≥ the number of bits.

fn checked_shr(self, rhs: u32) -> Option<Self>

Checked shift right. Returns the shifted number, or None if rhs ≥ the number of bits.

fn checked_dist(self, other: Self) -> Option<Self>

Checked distance. Returns the distance from self to other, or None on overflow.

fn saturating_neg(self) -> Self

Saturated negation. Returns the negated value, saturating on overflow.

fn saturating_add(self, rhs: Self) -> Self

Saturating addition. Returns the sum, saturating on overflow.

fn saturating_sub(self, rhs: Self) -> Self

Saturating subtraction. Returns the difference, saturating on overflow.

fn saturating_mul(self, rhs: Self) -> Self

Saturating multiplication. Returns the product, saturating on overflow.

fn saturating_div(self, rhs: Self) -> Self

Saturating division. Returns the quotient, saturating on overflow.

fn saturating_recip(self) -> Self

Saturating reciprocal.

fn saturating_mul_add(self, mul: Self, add: Self) -> Self

Saturating multiply and add. Returns self × mul + add, saturating on overflow.

fn saturating_mul_acc(&mut self, a: Self, b: Self)

Saturating multiply and add. Adds (a × b) to self, saturating on overflow.

fn saturating_div_euclid(self, rhs: Self) -> Self

Saturating Euclidean division. Returns the quotient, saturating on overflow.

fn saturating_mul_int(self, rhs: Self::Bits) -> Self

Saturating multiplication by an integer. Returns the product, saturating on overflow.

fn saturating_div_euclid_int(self, rhs: Self::Bits) -> Self

Saturating Euclidean division by an integer. Returns the quotient, saturating on overflow.

fn saturating_rem_euclid_int(self, rhs: Self::Bits) -> Self

Saturating remainder for Euclidean division by an integer. Returns the remainder, saturating on overflow.

fn saturating_dist(self, other: Self) -> Self

Saturating distance. Returns the distance from self to other, saturating on overflow.

fn wrapping_neg(self) -> Self

Wrapping negation. Returns the negated value, wrapping on overflow.

fn wrapping_add(self, rhs: Self) -> Self

Wrapping addition. Returns the sum, wrapping on overflow.

fn wrapping_sub(self, rhs: Self) -> Self

Wrapping subtraction. Returns the difference, wrapping on overflow.

fn wrapping_mul(self, rhs: Self) -> Self

Wrapping multiplication. Returns the product, wrapping on overflow.

fn wrapping_div(self, rhs: Self) -> Self

Wrapping division. Returns the quotient, wrapping on overflow.

fn wrapping_recip(self) -> Self

Wrapping reciprocal.

fn wrapping_mul_add(self, mul: Self, add: Self) -> Self

Wrapping multiply and add. Returns self × mul + add, wrapping on overflow.

fn wrapping_mul_acc(&mut self, a: Self, b: Self)

Wrapping multiply and accumulate. Adds (a × b) to self, wrapping on overflow.

fn wrapping_div_euclid(self, rhs: Self) -> Self

Wrapping Euclidean division. Returns the quotient, wrapping on overflow.

fn wrapping_mul_int(self, rhs: Self::Bits) -> Self

Wrapping multiplication by an integer. Returns the product, wrapping on overflow.

fn wrapping_div_int(self, rhs: Self::Bits) -> Self

Wrapping division by an integer. Returns the quotient, wrapping on overflow.

fn wrapping_div_euclid_int(self, rhs: Self::Bits) -> Self

Wrapping Euclidean division by an integer. Returns the quotient, wrapping on overflow.

fn wrapping_rem_euclid_int(self, rhs: Self::Bits) -> Self

Wrapping remainder for Euclidean division by an integer. Returns the remainder, wrapping on overflow.

fn wrapping_shl(self, rhs: u32) -> Self

Wrapping shift left. Wraps rhs if rhs ≥ the number of bits, then shifts and returns the number.

fn wrapping_shr(self, rhs: u32) -> Self

Wrapping shift right. Wraps rhs if rhs ≥ the number of bits, then shifts and returns the number.

fn wrapping_dist(self, other: Self) -> Self

Wrapping distance. Returns the distance from self to other, wrapping on overflow.

fn unwrapped_neg(self) -> Self

Unwrapped negation. Returns the negated value, panicking on overflow.

fn unwrapped_add(self, rhs: Self) -> Self

Unwrapped addition. Returns the sum, panicking on overflow.

fn unwrapped_sub(self, rhs: Self) -> Self

Unwrapped subtraction. Returns the difference, panicking on overflow.

fn unwrapped_mul(self, rhs: Self) -> Self

Unwrapped multiplication. Returns the product, panicking on overflow.

fn unwrapped_div(self, rhs: Self) -> Self

Unwrapped division. Returns the quotient, panicking on overflow.

fn unwrapped_rem(self, rhs: Self) -> Self

Unwrapped remainder. Returns the quotient, panicking if the divisor is zero.

fn unwrapped_recip(self) -> Self

Unwrapped reciprocal. Returns reciprocal, panicking on overflow.

fn unwrapped_mul_add(self, mul: Self, add: Self) -> Self

Unwrapped multiply and add. Returns self × mul + add, panicking on overflow.

fn unwrapped_mul_acc(&mut self, a: Self, b: Self)

Unwrapped multiply and accumulate. Adds (a × b) to self, panicking on overflow.

fn unwrapped_div_euclid(self, rhs: Self) -> Self

Unwrapped Euclidean division. Returns the quotient, panicking on overflow.

fn unwrapped_rem_euclid(self, rhs: Self) -> Self

Unwrapped remainder for Euclidean division. Returns the remainder, panicking if the divisor is zero.

fn unwrapped_mul_int(self, rhs: Self::Bits) -> Self

Unwrapped multiplication by an integer. Returns the product, panicking on overflow.

fn unwrapped_div_int(self, rhs: Self::Bits) -> Self

Unwrapped division by an integer. Returns the quotient, panicking on overflow.

fn unwrapped_rem_int(self, rhs: Self::Bits) -> Self

Unwrapped remainder for division by an integer. Returns the remainder, panicking if the divisor is zero.

fn unwrapped_div_euclid_int(self, rhs: Self::Bits) -> Self

Unwrapped Euclidean division by an integer. Returns the quotient, panicking on overflow.

fn unwrapped_rem_euclid_int(self, rhs: Self::Bits) -> Self

Unwrapped remainder for Euclidean division by an integer. Returns the remainder, panicking on overflow.

fn unwrapped_shl(self, rhs: u32) -> Self

Unwrapped shift left. Panics if rhs ≥ the number of bits.

fn unwrapped_shr(self, rhs: u32) -> Self

Unwrapped shift right. Panics if rhs ≥ the number of bits.

fn unwrapped_dist(self, other: Self) -> Self

Unwrapped distance. Returns the distance from self to other, panicking on overflow.

fn overflowing_neg(self) -> (Self, bool)

Overflowing negation.

fn overflowing_add(self, rhs: Self) -> (Self, bool)

Overflowing addition.

fn overflowing_sub(self, rhs: Self) -> (Self, bool)

Overflowing subtraction.

fn overflowing_mul(self, rhs: Self) -> (Self, bool)

Overflowing multiplication.

fn overflowing_div(self, rhs: Self) -> (Self, bool)

Overflowing division.

fn overflowing_recip(self) -> (Self, bool)

Overflowing reciprocal.

fn overflowing_mul_add(self, mul: Self, add: Self) -> (Self, bool)

Overflowing multiply and add.

fn overflowing_mul_acc(&mut self, a: Self, b: Self) -> bool

Overflowing multiply and accumulate. Adds (a × b) to self, wrapping and returning true if overflow occurs.

fn overflowing_div_euclid(self, rhs: Self) -> (Self, bool)

Overflowing Euclidean division.

fn overflowing_mul_int(self, rhs: Self::Bits) -> (Self, bool)

Overflowing multiplication by an integer.

fn overflowing_div_int(self, rhs: Self::Bits) -> (Self, bool)

Overflowing division by an integer.

fn overflowing_div_euclid_int(self, rhs: Self::Bits) -> (Self, bool)

Overflowing Euclidean division by an integer.

fn overflowing_rem_euclid_int(self, rhs: Self::Bits) -> (Self, bool)

Overflowing remainder for Euclidean division by an integer.

fn overflowing_shl(self, rhs: u32) -> (Self, bool)

Overflowing shift left.

fn overflowing_shr(self, rhs: u32) -> (Self, bool)

Overflowing shift right.

fn overflowing_dist(self, other: Self) -> (Self, bool)

Overflowing distance.

fn get_signed(&self) -> Option<&Self::Signed>

Returns a reference to self as FixedSigned if the type is signed, or None if it is unsigned.

fn get_unsigned(&self) -> Option<&Self::Unsigned>

Returns a reference to self as FixedUnsigned if the type is unsigned, or None if it is signed.

fn get_signed_mut(&mut self) -> Option<&mut Self::Signed>

Returns a mutable reference to self as FixedSigned if the type is signed, or None if it is unsigned.

fn get_unsigned_mut(&mut self) -> Option<&mut Self::Unsigned>

Returns a mutable reference to self as FixedUnsigned if the type is unsigned, or None if it is signed.

impl<Frac: LeEqU32> FixedSigned for FixedI32<Frac>

fn signed_bits(self) -> u32

Returns the number of bits required to represent the value.

fn abs(self) -> Self

Returns the absolute value.

fn unsigned_abs(self) -> Self::Unsigned

Returns the absolute value using an unsigned type without any wrapping or panicking.

fn unsigned_dist(self, other: Self) -> Self::Unsigned

Returns the distance from self to other using an unsigned type without any wrapping or panicking.

fn signum(self) -> Self

Returns a number representing the sign of self.

fn checked_abs(self) -> Option<Self>

Checked absolute value. Returns the absolute value, or None on overflow.

fn checked_signum(self) -> Option<Self>

Checked signum. Returns a number representing the sign of self, or None on overflow.

fn saturating_abs(self) -> Self

Saturating absolute value. Returns the absolute value, saturating on overflow.

fn saturating_signum(self) -> Self

Saturating signum. Returns a number representing the sign of self, saturating on overflow.

fn wrapping_abs(self) -> Self

Wrapping absolute value. Returns the absolute value, wrapping on overflow.

fn wrapping_signum(self) -> Self

Wrapping signum. Returns a number representing the sign of self, wrapping on overflow.

fn unwrapped_abs(self) -> Self

Unwrapped absolute value. Returns the absolute value, panicking on overflow.

fn unwrapped_signum(self) -> Self

Unwrapped signum. Returns a number representing the sign of self, panicking on overflow.

fn overflowing_abs(self) -> (Self, bool)

Overflowing absolute value.

fn overflowing_signum(self) -> (Self, bool)

Overflowing signum.

fn is_positive(self) -> bool

Returns true if the number is > 0.

fn is_negative(self) -> bool

Returns true if the number is < 0.

impl<Frac: LeEqU32> FloatConst for FixedI32<Frac>

fn E() -> Self

Return Euler’s number.

fn FRAC_1_PI() -> Self

Return 1.0 / π.

fn FRAC_1_SQRT_2() -> Self

Return 1.0 / sqrt(2.0).

fn FRAC_2_PI() -> Self

Return 2.0 / π.

fn FRAC_2_SQRT_PI() -> Self

Return 2.0 / sqrt(π).

fn FRAC_PI_2() -> Self

Return π / 2.0.

fn FRAC_PI_3() -> Self

Return π / 3.0.

fn FRAC_PI_4() -> Self

Return π / 4.0.

fn FRAC_PI_6() -> Self

Return π / 6.0.

fn FRAC_PI_8() -> Self

Return π / 8.0.

fn LN_10() -> Self

Return ln(10.0).

fn LN_2() -> Self

Return ln(2.0).

fn LOG10_E() -> Self

Return log10(e).

fn LOG2_E() -> Self

Return log2(e).

fn PI() -> Self

Return Archimedes’ constant π.

fn SQRT_2() -> Self

Return sqrt(2.0).

fn TAU() -> Self

Return the full circle constant τ.

fn LOG10_2() -> Self

Return log10(2.0).

fn LOG2_10() -> Self

Return log2(10.0).

impl<FracSrc: LeEqU16, FracDst: LeEqU32> From<FixedI16<FracSrc>> for FixedI32<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>,
    U16: Sub<FracSrc>,
    U32: Sub<FracDst>,
    Diff<U16, FracSrc>: IsLessOrEqual<Diff<U32, FracDst>, Output = True>, 

fn from(src: FixedI16<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) and does not lose any precision (lossless).

impl<Frac: LeEqU32> From<FixedI32<Frac>> for F128Bits

fn from(src: FixedI32<Frac>) -> F128Bits

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) and does not lose any precision (lossless).

impl<FracSrc: LeEqU32, FracDst: LeEqU64> From<FixedI32<FracSrc>> for FixedI64<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>,
    U32: Sub<FracSrc>,
    U64: Sub<FracDst>,
    Diff<U32, FracSrc>: IsLessOrEqual<Diff<U64, FracDst>, Output = True>, 

fn from(src: FixedI32<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) and does not lose any precision (lossless).

impl<FracSrc: LeEqU32, FracDst: LeEqU128> From<FixedI32<FracSrc>> for FixedI128<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>,
    U32: Sub<FracSrc>,
    U128: Sub<FracDst>,
    Diff<U32, FracSrc>: IsLessOrEqual<Diff<U128, FracDst>, Output = True>, 

fn from(src: FixedI32<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) and does not lose any precision (lossless).

impl<FracSrc: LeEqU8, FracDst: LeEqU32> From<FixedI8<FracSrc>> for FixedI32<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>,
    U8: Sub<FracSrc>,
    U32: Sub<FracDst>,
    Diff<U8, FracSrc>: IsLessOrEqual<Diff<U32, FracDst>, Output = True>, 

fn from(src: FixedI8<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) and does not lose any precision (lossless).

impl<FracSrc: LeEqU16, FracDst: LeEqU32> From<FixedU16<FracSrc>> for FixedI32<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>,
    U16: Sub<FracSrc>,
    U31: Sub<FracDst>,
    Diff<U16, FracSrc>: IsLessOrEqual<Diff<U31, FracDst>, Output = True>, 

fn from(src: FixedU16<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) and does not lose any precision (lossless).

impl<FracSrc: LeEqU8, FracDst: LeEqU32> From<FixedU8<FracSrc>> for FixedI32<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>,
    U8: Sub<FracSrc>,
    U31: Sub<FracDst>,
    Diff<U8, FracSrc>: IsLessOrEqual<Diff<U31, FracDst>, Output = True>, 

fn from(src: FixedU8<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) and does not lose any precision (lossless).

impl<FracDst: LeEqU32> From<bool> for FixedI32<FracDst> where
    U31: Sub<FracDst>,
    U1: IsLessOrEqual<Diff<U31, FracDst>, Output = True>, 

fn from(src: bool) -> Self

Converts a bool to a fixed-point number.

This conversion never fails (infallible) and cannot lose any fractional bits (lossless).

impl<FracDst: LeEqU32> From<i16> for FixedI32<FracDst> where
    U32: Sub<FracDst>,
    U16: IsLessOrEqual<Diff<U32, FracDst>, Output = True>, 

fn from(src: i16) -> Self

Converts an integer to a fixed-point number.

This conversion never fails (infallible) and cannot lose any fractional bits, so it is actually lossless.

impl From<i32> for FixedI32<U0>

fn from(src: i32) -> Self

Converts an integer to a fixed-point number.

This conversion never fails (infallible) and cannot lose any fractional bits (lossless).

impl<FracDst: LeEqU32> From<i8> for FixedI32<FracDst> where
    U32: Sub<FracDst>,
    U8: IsLessOrEqual<Diff<U32, FracDst>, Output = True>, 

fn from(src: i8) -> Self

Converts an integer to a fixed-point number.

This conversion never fails (infallible) and cannot lose any fractional bits, so it is actually lossless.

impl<FracDst: LeEqU32> From<u16> for FixedI32<FracDst> where
    U31: Sub<FracDst>,
    U16: IsLessOrEqual<Diff<U31, FracDst>, Output = True>, 

fn from(src: u16) -> Self

Converts an integer to a fixed-point number.

This conversion never fails (infallible) and cannot lose any fractional bits, so it is actually lossless.

impl<FracDst: LeEqU32> From<u8> for FixedI32<FracDst> where
    U31: Sub<FracDst>,
    U8: IsLessOrEqual<Diff<U31, FracDst>, Output = True>, 

fn from(src: u8) -> Self

Converts an integer to a fixed-point number.

This conversion never fails (infallible) and cannot lose any fractional bits, so it is actually lossless.

impl<Frac: LeEqU32> FromFixed for FixedI32<Frac>

fn from_fixed<F: Fixed>(src: F) -> Self

Converts a fixed-point number.

Any extra fractional bits are discarded, which rounds towards −∞.

Panics

When debug assertions are enabled, panics if the value does not fit. When debug assertions are not enabled, the wrapped value can be returned, but it is not considered a breaking change if in the future it panics; if wrapping is required use wrapping_from_fixed instead.

fn checked_from_fixed<F: Fixed>(src: F) -> Option<Self>

Converts a fixed-point number if it fits, otherwise returns None.

Any extra fractional bits are discarded, which rounds towards −∞.

fn saturating_from_fixed<F: Fixed>(src: F) -> Self

Converts a fixed-point number, saturating if it does not fit.

Any extra fractional bits are discarded, which rounds towards −∞.

fn wrapping_from_fixed<F: Fixed>(src: F) -> Self

Converts a fixed-point number, wrapping if it does not fit.

Any extra fractional bits are discarded, which rounds towards −∞.

fn overflowing_from_fixed<F: Fixed>(src: F) -> (Self, bool)

Converts a fixed-point number.

Returns a tuple of the value and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Any extra fractional bits are discarded, which rounds towards −∞.

fn unwrapped_from_fixed<F: Fixed>(src: F) -> Self

Converts a fixed-point number, panicking if it does not fit.

Any extra fractional bits are discarded, which rounds towards −∞.

Panics

Panics if the value does not fit, even when debug assertions are not enabled.

impl<Frac: LeEqU32> FromPrimitive for FixedI32<Frac>

fn from_i64(n: i64) -> Option<Self>

Converts an i64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u64(n: u64) -> Option<Self>

Converts an u64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_isize(n: isize) -> Option<Self>

Converts an isize to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i8(n: i8) -> Option<Self>

Converts an i8 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i16(n: i16) -> Option<Self>

Converts an i16 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i32(n: i32) -> Option<Self>

Converts an i32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_i128(n: i128) -> Option<Self>

Converts an i128 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_usize(n: usize) -> Option<Self>

Converts a usize to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u8(n: u8) -> Option<Self>

Converts an u8 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u16(n: u16) -> Option<Self>

Converts an u16 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u32(n: u32) -> Option<Self>

Converts an u32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_u128(n: u128) -> Option<Self>

Converts an u128 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_f32(n: f32) -> Option<Self>

Converts a f32 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

fn from_f64(n: f64) -> Option<Self>

Converts a f64 to return an optional value of this type. If the value cannot be represented by this type, then None is returned.

impl<Frac: LeEqU32> FromStr for FixedI32<Frac>

fn from_str(s: &str) -> Result<Self, Self::Err>

Parses a string slice to return a fixed-point number.

Rounding is to the nearest, with ties rounded to even.

type Err = ParseFixedError

The associated error which can be returned from parsing.

impl<Frac> Hash for FixedI32<Frac>

fn hash<H: Hasher>(&self, state: &mut H)

Feeds this value into the given Hasher.

fn hash_slice<H>(data: &[Self], state: &mut H) where
    H: Hasher, 

Feeds a slice of this type into the given Hasher.

impl<Frac: LeEqU32> Inv for FixedI32<Frac>

type Output = Self

The result after applying the operator.

fn inv(self) -> Self::Output

Returns the multiplicative inverse of self.

impl<FracSrc: LeEqU128, FracDst: LeEqU32> LosslessTryFrom<FixedI128<FracSrc>> for FixedI32<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedI128<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl<FracSrc: LeEqU16, FracDst: LeEqU32> LosslessTryFrom<FixedI16<FracSrc>> for FixedI32<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedI16<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl<Frac: LeEqU32> LosslessTryFrom<FixedI32<Frac>> for f64

fn lossless_try_from(src: FixedI32<Frac>) -> Option<f64>

Converts a fixed-point number to a floating-point number.

This conversion actually never fails (infallible) but does not lose any precision (lossless).

impl<Frac: LeEqU32> LosslessTryFrom<FixedI32<Frac>> for F128Bits

fn lossless_try_from(src: FixedI32<Frac>) -> Option<F128Bits>

Converts a fixed-point number to a floating-point number.

This conversion actually never fails (infallible) but does not lose any precision (lossless).

impl<FracSrc: LeEqU32, FracDst: LeEqU8> LosslessTryFrom<FixedI32<FracSrc>> for FixedI8<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedI32<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl<FracSrc: LeEqU32, FracDst: LeEqU16> LosslessTryFrom<FixedI32<FracSrc>> for FixedI16<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedI32<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl<FracSrc: LeEqU32, FracDst: LeEqU32> LosslessTryFrom<FixedI32<FracSrc>> for FixedI32<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedI32<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl<FracSrc: LeEqU32, FracDst: LeEqU64> LosslessTryFrom<FixedI32<FracSrc>> for FixedI64<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedI32<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl<FracSrc: LeEqU32, FracDst: LeEqU128> LosslessTryFrom<FixedI32<FracSrc>> for FixedI128<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedI32<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl<FracSrc: LeEqU32, FracDst: LeEqU8> LosslessTryFrom<FixedI32<FracSrc>> for FixedU8<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedI32<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl<FracSrc: LeEqU32, FracDst: LeEqU16> LosslessTryFrom<FixedI32<FracSrc>> for FixedU16<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedI32<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl<FracSrc: LeEqU32, FracDst: LeEqU32> LosslessTryFrom<FixedI32<FracSrc>> for FixedU32<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedI32<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl<FracSrc: LeEqU32, FracDst: LeEqU64> LosslessTryFrom<FixedI32<FracSrc>> for FixedU64<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedI32<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl<FracSrc: LeEqU32, FracDst: LeEqU128> LosslessTryFrom<FixedI32<FracSrc>> for FixedU128<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedI32<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl LosslessTryFrom<FixedI32<UTerm>> for i8

fn lossless_try_from(src: FixedI32<U0>) -> Option<Self>

Converts a fixed-point number to an integer.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl LosslessTryFrom<FixedI32<UTerm>> for i16

fn lossless_try_from(src: FixedI32<U0>) -> Option<Self>

Converts a fixed-point number to an integer.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl LosslessTryFrom<FixedI32<UTerm>> for u128

fn lossless_try_from(src: FixedI32<U0>) -> Option<Self>

Converts a fixed-point number to an integer.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl LosslessTryFrom<FixedI32<UTerm>> for usize

fn lossless_try_from(src: FixedI32<U0>) -> Option<Self>

Converts a fixed-point number to an integer.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl LosslessTryFrom<FixedI32<UTerm>> for i32

fn lossless_try_from(src: FixedI32<U0>) -> Option<Self>

Converts a fixed-point number to an integer.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl LosslessTryFrom<FixedI32<UTerm>> for i64

fn lossless_try_from(src: FixedI32<U0>) -> Option<Self>

Converts a fixed-point number to an integer.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl LosslessTryFrom<FixedI32<UTerm>> for i128

fn lossless_try_from(src: FixedI32<U0>) -> Option<Self>

Converts a fixed-point number to an integer.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl LosslessTryFrom<FixedI32<UTerm>> for isize

fn lossless_try_from(src: FixedI32<U0>) -> Option<Self>

Converts a fixed-point number to an integer.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl LosslessTryFrom<FixedI32<UTerm>> for u8

fn lossless_try_from(src: FixedI32<U0>) -> Option<Self>

Converts a fixed-point number to an integer.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl LosslessTryFrom<FixedI32<UTerm>> for u16

fn lossless_try_from(src: FixedI32<U0>) -> Option<Self>

Converts a fixed-point number to an integer.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl LosslessTryFrom<FixedI32<UTerm>> for u32

fn lossless_try_from(src: FixedI32<U0>) -> Option<Self>

Converts a fixed-point number to an integer.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl LosslessTryFrom<FixedI32<UTerm>> for u64

fn lossless_try_from(src: FixedI32<U0>) -> Option<Self>

Converts a fixed-point number to an integer.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl<FracSrc: LeEqU64, FracDst: LeEqU32> LosslessTryFrom<FixedI64<FracSrc>> for FixedI32<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedI64<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl<FracSrc: LeEqU8, FracDst: LeEqU32> LosslessTryFrom<FixedI8<FracSrc>> for FixedI32<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedI8<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl<FracSrc: LeEqU128, FracDst: LeEqU32> LosslessTryFrom<FixedU128<FracSrc>> for FixedI32<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedU128<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl<FracSrc: LeEqU16, FracDst: LeEqU32> LosslessTryFrom<FixedU16<FracSrc>> for FixedI32<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedU16<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl<FracSrc: LeEqU32, FracDst: LeEqU32> LosslessTryFrom<FixedU32<FracSrc>> for FixedI32<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedU32<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl<FracSrc: LeEqU64, FracDst: LeEqU32> LosslessTryFrom<FixedU64<FracSrc>> for FixedI32<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedU64<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl<FracSrc: LeEqU8, FracDst: LeEqU32> LosslessTryFrom<FixedU8<FracSrc>> for FixedI32<FracDst> where
    FracSrc: IsLessOrEqual<FracDst, Output = True>, 

fn lossless_try_from(src: FixedU8<FracSrc>) -> Option<Self>

Converts a fixed-pint number.

This conversion may fail (fallible) but does not lose precision (lossless).

impl<Frac: LeEqU32> LosslessTryFrom<bool> for FixedI32<Frac>

fn lossless_try_from(src: bool) -> Option<Self>

Converts an integer to a fixed-point number.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl<Frac: LeEqU32> LosslessTryFrom<f16> for FixedI32<Frac> where
    U24: IsLessOrEqual<Frac, Output = True>, 

fn lossless_try_from(src: f16) -> Option<Self>

Converts a floating-point number to a fixed-point number.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl<Frac: LeEqU32> LosslessTryFrom<i128> for FixedI32<Frac>

fn lossless_try_from(src: i128) -> Option<Self>

Converts an integer to a fixed-point number.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl<Frac: LeEqU32> LosslessTryFrom<i16> for FixedI32<Frac>

fn lossless_try_from(src: i16) -> Option<Self>

Converts an integer to a fixed-point number.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl<Frac: LeEqU32> LosslessTryFrom<i32> for FixedI32<Frac>

fn lossless_try_from(src: i32) -> Option<Self>

Converts an integer to a fixed-point number.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl<Frac: LeEqU32> LosslessTryFrom<i64> for FixedI32<Frac>

fn lossless_try_from(src: i64) -> Option<Self>

Converts an integer to a fixed-point number.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl<Frac: LeEqU32> LosslessTryFrom<i8> for FixedI32<Frac>

fn lossless_try_from(src: i8) -> Option<Self>

Converts an integer to a fixed-point number.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl<Frac: LeEqU32> LosslessTryFrom<isize> for FixedI32<Frac>

fn lossless_try_from(src: isize) -> Option<Self>

Converts an integer to a fixed-point number.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl<Frac: LeEqU32> LosslessTryFrom<u128> for FixedI32<Frac>

fn lossless_try_from(src: u128) -> Option<Self>

Converts an integer to a fixed-point number.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl<Frac: LeEqU32> LosslessTryFrom<u16> for FixedI32<Frac>

fn lossless_try_from(src: u16) -> Option<Self>

Converts an integer to a fixed-point number.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl<Frac: LeEqU32> LosslessTryFrom<u32> for FixedI32<Frac>

fn lossless_try_from(src: u32) -> Option<Self>

Converts an integer to a fixed-point number.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl<Frac: LeEqU32> LosslessTryFrom<u64> for FixedI32<Frac>

fn lossless_try_from(src: u64) -> Option<Self>

Converts an integer to a fixed-point number.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl<Frac: LeEqU32> LosslessTryFrom<u8> for FixedI32<Frac>

fn lossless_try_from(src: u8) -> Option<Self>

Converts an integer to a fixed-point number.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl<Frac: LeEqU32> LosslessTryFrom<usize> for FixedI32<Frac>

fn lossless_try_from(src: usize) -> Option<Self>

Converts an integer to a fixed-point number.

This conversion may fail (fallible) but cannot lose any fractional bits (lossless).

impl<FracSrc: LeEqU128, FracDst: LeEqU32> LossyFrom<FixedI128<FracSrc>> for FixedI32<FracDst> where
    U128: Sub<FracSrc>,
    U32: Sub<FracDst>,
    Diff<U128, FracSrc>: IsLessOrEqual<Diff<U32, FracDst>, Output = True>, 

fn lossy_from(src: FixedI128<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source that cannot be represented in the destination are discarded, which rounds towards −∞.

impl<FracSrc: LeEqU16, FracDst: LeEqU32> LossyFrom<FixedI16<FracSrc>> for FixedI32<FracDst> where
    U16: Sub<FracSrc>,
    U32: Sub<FracDst>,
    Diff<U16, FracSrc>: IsLessOrEqual<Diff<U32, FracDst>, Output = True>, 

fn lossy_from(src: FixedI16<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source that cannot be represented in the destination are discarded, which rounds towards −∞.

impl<Frac: LeEqU32> LossyFrom<FixedI32<Frac>> for f16

fn lossy_from(src: FixedI32<Frac>) -> f16

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl<Frac: LeEqU32> LossyFrom<FixedI32<Frac>> for bf16

fn lossy_from(src: FixedI32<Frac>) -> bf16

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl<Frac: LeEqU32> LossyFrom<FixedI32<Frac>> for f32

fn lossy_from(src: FixedI32<Frac>) -> f32

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl<Frac: LeEqU32> LossyFrom<FixedI32<Frac>> for f64

fn lossy_from(src: FixedI32<Frac>) -> f64

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl<Frac: LeEqU32> LossyFrom<FixedI32<Frac>> for F128Bits

fn lossy_from(src: FixedI32<Frac>) -> F128Bits

Converts a fixed-point number to a floating-point number.

This conversion never fails (infallible) but may lose precision (lossy). Rounding is to the nearest, with ties rounded to even.

impl<FracSrc: LeEqU32, FracDst: LeEqU8> LossyFrom<FixedI32<FracSrc>> for FixedI8<FracDst> where
    U32: Sub<FracSrc>,
    U8: Sub<FracDst>,
    Diff<U32, FracSrc>: IsLessOrEqual<Diff<U8, FracDst>, Output = True>, 

fn lossy_from(src: FixedI32<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source that cannot be represented in the destination are discarded, which rounds towards −∞.

impl<FracSrc: LeEqU32, FracDst: LeEqU16> LossyFrom<FixedI32<FracSrc>> for FixedI16<FracDst> where
    U32: Sub<FracSrc>,
    U16: Sub<FracDst>,
    Diff<U32, FracSrc>: IsLessOrEqual<Diff<U16, FracDst>, Output = True>, 

fn lossy_from(src: FixedI32<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source that cannot be represented in the destination are discarded, which rounds towards −∞.

impl<FracSrc: LeEqU32> LossyFrom<FixedI32<FracSrc>> for isize where
    U32: Sub<FracSrc>,
    Diff<U32, FracSrc>: IsLessOrEqual<U16, Output = True>, 

fn lossy_from(src: FixedI32<FracSrc>) -> Self

Converts a fixed-point number to an integer.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source are discarded, which rounds towards −∞.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> LossyFrom<FixedI32<FracSrc>> for FixedI32<FracDst> where
    U32: Sub<FracSrc>,
    U32: Sub<FracDst>,
    Diff<U32, FracSrc>: IsLessOrEqual<Diff<U32, FracDst>, Output = True>, 

fn lossy_from(src: FixedI32<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source that cannot be represented in the destination are discarded, which rounds towards −∞.

impl<FracSrc: LeEqU32, FracDst: LeEqU64> LossyFrom<FixedI32<FracSrc>> for FixedI64<FracDst> where
    U32: Sub<FracSrc>,
    U64: Sub<FracDst>,
    Diff<U32, FracSrc>: IsLessOrEqual<Diff<U64, FracDst>, Output = True>, 

fn lossy_from(src: FixedI32<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source that cannot be represented in the destination are discarded, which rounds towards −∞.

impl<FracSrc: LeEqU32, FracDst: LeEqU128> LossyFrom<FixedI32<FracSrc>> for FixedI128<FracDst> where
    U32: Sub<FracSrc>,
    U128: Sub<FracDst>,
    Diff<U32, FracSrc>: IsLessOrEqual<Diff<U128, FracDst>, Output = True>, 

fn lossy_from(src: FixedI32<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source that cannot be represented in the destination are discarded, which rounds towards −∞.

impl<FracSrc: LeEqU32> LossyFrom<FixedI32<FracSrc>> for i8 where
    U32: Sub<FracSrc>,
    Diff<U32, FracSrc>: IsLessOrEqual<U8, Output = True>, 

fn lossy_from(src: FixedI32<FracSrc>) -> Self

Converts a fixed-point number to an integer.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source are discarded, which rounds towards −∞.

impl<FracSrc: LeEqU32> LossyFrom<FixedI32<FracSrc>> for i16 where
    U32: Sub<FracSrc>,
    Diff<U32, FracSrc>: IsLessOrEqual<U16, Output = True>, 

fn lossy_from(src: FixedI32<FracSrc>) -> Self

Converts a fixed-point number to an integer.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source are discarded, which rounds towards −∞.

impl<FracSrc: LeEqU32> LossyFrom<FixedI32<FracSrc>> for i32 where
    U32: Sub<FracSrc>,
    Diff<U32, FracSrc>: IsLessOrEqual<U32, Output = True>, 

fn lossy_from(src: FixedI32<FracSrc>) -> Self

Converts a fixed-point number to an integer.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source are discarded, which rounds towards −∞.

impl<FracSrc: LeEqU32> LossyFrom<FixedI32<FracSrc>> for i64 where
    U32: Sub<FracSrc>,
    Diff<U32, FracSrc>: IsLessOrEqual<U64, Output = True>, 

fn lossy_from(src: FixedI32<FracSrc>) -> Self

Converts a fixed-point number to an integer.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source are discarded, which rounds towards −∞.

impl<FracSrc: LeEqU32> LossyFrom<FixedI32<FracSrc>> for i128 where
    U32: Sub<FracSrc>,
    Diff<U32, FracSrc>: IsLessOrEqual<U128, Output = True>, 

fn lossy_from(src: FixedI32<FracSrc>) -> Self

Converts a fixed-point number to an integer.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source are discarded, which rounds towards −∞.

impl<FracSrc: LeEqU64, FracDst: LeEqU32> LossyFrom<FixedI64<FracSrc>> for FixedI32<FracDst> where
    U64: Sub<FracSrc>,
    U32: Sub<FracDst>,
    Diff<U64, FracSrc>: IsLessOrEqual<Diff<U32, FracDst>, Output = True>, 

fn lossy_from(src: FixedI64<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source that cannot be represented in the destination are discarded, which rounds towards −∞.

impl<FracSrc: LeEqU8, FracDst: LeEqU32> LossyFrom<FixedI8<FracSrc>> for FixedI32<FracDst> where
    U8: Sub<FracSrc>,
    U32: Sub<FracDst>,
    Diff<U8, FracSrc>: IsLessOrEqual<Diff<U32, FracDst>, Output = True>, 

fn lossy_from(src: FixedI8<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source that cannot be represented in the destination are discarded, which rounds towards −∞.

impl<FracSrc: LeEqU128, FracDst: LeEqU32> LossyFrom<FixedU128<FracSrc>> for FixedI32<FracDst> where
    U128: Sub<FracSrc>,
    U31: Sub<FracDst>,
    Diff<U128, FracSrc>: IsLessOrEqual<Diff<U31, FracDst>, Output = True>, 

fn lossy_from(src: FixedU128<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source that cannot be represented in the destination are discarded, which rounds towards −∞.

impl<FracSrc: LeEqU16, FracDst: LeEqU32> LossyFrom<FixedU16<FracSrc>> for FixedI32<FracDst> where
    U16: Sub<FracSrc>,
    U31: Sub<FracDst>,
    Diff<U16, FracSrc>: IsLessOrEqual<Diff<U31, FracDst>, Output = True>, 

fn lossy_from(src: FixedU16<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source that cannot be represented in the destination are discarded, which rounds towards −∞.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> LossyFrom<FixedU32<FracSrc>> for FixedI32<FracDst> where
    U32: Sub<FracSrc>,
    U31: Sub<FracDst>,
    Diff<U32, FracSrc>: IsLessOrEqual<Diff<U31, FracDst>, Output = True>, 

fn lossy_from(src: FixedU32<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source that cannot be represented in the destination are discarded, which rounds towards −∞.

impl<FracSrc: LeEqU64, FracDst: LeEqU32> LossyFrom<FixedU64<FracSrc>> for FixedI32<FracDst> where
    U64: Sub<FracSrc>,
    U31: Sub<FracDst>,
    Diff<U64, FracSrc>: IsLessOrEqual<Diff<U31, FracDst>, Output = True>, 

fn lossy_from(src: FixedU64<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source that cannot be represented in the destination are discarded, which rounds towards −∞.

impl<FracSrc: LeEqU8, FracDst: LeEqU32> LossyFrom<FixedU8<FracSrc>> for FixedI32<FracDst> where
    U8: Sub<FracSrc>,
    U31: Sub<FracDst>,
    Diff<U8, FracSrc>: IsLessOrEqual<Diff<U31, FracDst>, Output = True>, 

fn lossy_from(src: FixedU8<FracSrc>) -> Self

Converts a fixed-pint number.

This conversion never fails (infallible) but may lose precision (lossy). Any fractional bits in the source that cannot be represented in the destination are discarded, which rounds towards −∞.

impl<FracDst: LeEqU32> LossyFrom<bool> for FixedI32<FracDst> where
    U31: Sub<FracDst>,
    U1: IsLessOrEqual<Diff<U31, FracDst>, Output = True>, 

fn lossy_from(src: bool) -> Self

Converts a bool to a fixed-point number.

This conversion never fails (infallible) and cannot lose any fractional bits, so it is actually lossless.

impl<FracDst: LeEqU32> LossyFrom<i16> for FixedI32<FracDst> where
    U32: Sub<FracDst>,
    U16: IsLessOrEqual<Diff<U32, FracDst>, Output = True>, 

fn lossy_from(src: i16) -> Self

Converts an integer to a fixed-point number.

This conversion never fails (infallible) and cannot lose any fractional bits, so it is actually lossless.

impl LossyFrom<i32> for FixedI32<U0>

fn lossy_from(src: i32) -> Self

Converts an integer to a fixed-point number.

This conversion never fails (infallible) and actually does not lose any precision (lossless).

impl<FracDst: LeEqU32> LossyFrom<i8> for FixedI32<FracDst> where
    U32: Sub<FracDst>,
    U8: IsLessOrEqual<Diff<U32, FracDst>, Output = True>, 

fn lossy_from(src: i8) -> Self

Converts an integer to a fixed-point number.

This conversion never fails (infallible) and cannot lose any fractional bits, so it is actually lossless.

impl<FracDst: LeEqU32> LossyFrom<u16> for FixedI32<FracDst> where
    U31: Sub<FracDst>,
    U16: IsLessOrEqual<Diff<U31, FracDst>, Output = True>, 

fn lossy_from(src: u16) -> Self

Converts an integer to a fixed-point number.

This conversion never fails (infallible) and cannot lose any fractional bits, so it is actually lossless.

impl<FracDst: LeEqU32> LossyFrom<u8> for FixedI32<FracDst> where
    U31: Sub<FracDst>,
    U8: IsLessOrEqual<Diff<U31, FracDst>, Output = True>, 

fn lossy_from(src: u8) -> Self

Converts an integer to a fixed-point number.

This conversion never fails (infallible) and cannot lose any fractional bits, so it is actually lossless.

impl<Frac: LeEqU32> LowerHex for FixedI32<Frac>

fn fmt(&self, f: &mut Formatter<'_>) -> FmtResult

Formats the value using the given formatter.

impl<Frac: LeEqU32> Mul<&'_ FixedI32<Frac>> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the * operator.

fn mul(self, rhs: &FixedI32<Frac>) -> FixedI32<Frac>

Performs the * operation.

impl<Frac: LeEqU32> Mul<&'_ FixedI32<Frac>> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the * operator.

fn mul(self, rhs: &FixedI32<Frac>) -> FixedI32<Frac>

Performs the * operation.

impl<Frac: LeEqU32> Mul<&'_ i32> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the * operator.

fn mul(self, rhs: &i32) -> FixedI32<Frac>

Performs the * operation.

impl<Frac: LeEqU32> Mul<&'_ i32> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the * operator.

fn mul(self, rhs: &i32) -> FixedI32<Frac>

Performs the * operation.

impl<Frac: LeEqU32> Mul<FixedI32<Frac>> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the * operator.

fn mul(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Performs the * operation.

impl<Frac: LeEqU32> Mul<FixedI32<Frac>> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the * operator.

fn mul(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Performs the * operation.

impl<Frac: LeEqU32> Mul<i32> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the * operator.

fn mul(self, rhs: i32) -> FixedI32<Frac>

Performs the * operation.

impl<Frac: LeEqU32> Mul<i32> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the * operator.

fn mul(self, rhs: i32) -> FixedI32<Frac>

Performs the * operation.

impl<Frac, MulFrac: LeEqU32> MulAdd<FixedI32<MulFrac>, FixedI32<Frac>> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the fused multiply-add.

fn mul_add(self, a: FixedI32<MulFrac>, b: FixedI32<Frac>) -> FixedI32<Frac>

Performs the fused multiply-add operation.

impl<Frac, MulFrac: LeEqU32> MulAddAssign<FixedI32<MulFrac>, FixedI32<Frac>> for FixedI32<Frac>

fn mul_add_assign(&mut self, a: FixedI32<MulFrac>, b: FixedI32<Frac>)

Performs the fused multiply-add operation.

impl<Frac, RhsFrac: LeEqU32> MulAssign<&'_ FixedI32<RhsFrac>> for FixedI32<Frac>

fn mul_assign(&mut self, rhs: &FixedI32<RhsFrac>)

Performs the *= operation.

impl<Frac: LeEqU32> MulAssign<&'_ i32> for FixedI32<Frac>

fn mul_assign(&mut self, rhs: &i32)

Performs the *= operation.

impl<Frac, RhsFrac: LeEqU32> MulAssign<FixedI32<RhsFrac>> for FixedI32<Frac>

fn mul_assign(&mut self, rhs: FixedI32<RhsFrac>)

Performs the *= operation.

impl<Frac: LeEqU32> MulAssign<i32> for FixedI32<Frac>

fn mul_assign(&mut self, rhs: i32)

Performs the *= operation.

impl<Frac> Neg for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the - operator.

fn neg(self) -> FixedI32<Frac>

Performs the unary - operation.

impl<Frac> Neg for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the - operator.

fn neg(self) -> FixedI32<Frac>

Performs the unary - operation.

impl<Frac> Not for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the ! operator.

fn not(self) -> FixedI32<Frac>

Performs the unary ! operation.

impl<Frac> Not for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the ! operator.

fn not(self) -> FixedI32<Frac>

Performs the unary ! operation.

impl<Frac: LeEqU32> Num for FixedI32<Frac> where
    Frac: IsLessOrEqual<U30, Output = True>, 

type FromStrRadixErr = RadixParseFixedError

fn from_str_radix(str: &str, radix: u32) -> Result<Self, Self::FromStrRadixErr>

Convert from a string and radix (typically 2..=36).

impl<Frac: LeEqU32> Octal for FixedI32<Frac>

fn fmt(&self, f: &mut Formatter<'_>) -> FmtResult

Formats the value using the given formatter.

impl<Frac: LeEqU32> One for FixedI32<Frac> where
    Frac: IsLessOrEqual<U30, Output = True>, 

fn one() -> Self

Returns the multiplicative identity element of Self, 1.

fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.

fn is_one(&self) -> bool where
    Self: PartialEq<Self>, 

Returns true if self is equal to the multiplicative identity.

impl<Frac: LeEqU32> Ord for FixedI32<Frac>

fn cmp(&self, rhs: &FixedI32<Frac>) -> Ordering

This method returns an Ordering between self and other.

#[must_use]

fn max(self, other: Self) -> Self

Compares and returns the maximum of two values.

#[must_use]

fn min(self, other: Self) -> Self

Compares and returns the minimum of two values.

#[must_use]

fn clamp(self, min: Self, max: Self) -> Self

Restrict a value to a certain interval.

impl<Frac> OverflowingAdd for FixedI32<Frac>

fn overflowing_add(&self, v: &Self) -> (Self, bool)

Returns a tuple of the sum along with a boolean indicating whether an arithmetic overflow would occur. If an overflow would have occurred then the wrapped value is returned.

impl<Frac: LeEqU32> OverflowingCast<F128Bits> for FixedI32<Frac>

fn overflowing_cast(self) -> (F128Bits, bool)

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU128> OverflowingCast<FixedI128<FracDst>> for FixedI32<FracSrc>

fn overflowing_cast(self) -> (FixedI128<FracDst>, bool)

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU16> OverflowingCast<FixedI16<FracDst>> for FixedI32<FracSrc>

fn overflowing_cast(self) -> (FixedI16<FracDst>, bool)

Casts the value.

impl<Frac: LeEqU32> OverflowingCast<FixedI32<Frac>> for F128Bits

fn overflowing_cast(self) -> (FixedI32<Frac>, bool)

Casts the value.

impl<FracSrc: LeEqU8, FracDst: LeEqU32> OverflowingCast<FixedI32<FracDst>> for FixedI8<FracSrc>

fn overflowing_cast(self) -> (FixedI32<FracDst>, bool)

Casts the value.

impl<FracSrc: LeEqU16, FracDst: LeEqU32> OverflowingCast<FixedI32<FracDst>> for FixedI16<FracSrc>

fn overflowing_cast(self) -> (FixedI32<FracDst>, bool)

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> OverflowingCast<FixedI32<FracDst>> for FixedI32<FracSrc>

fn overflowing_cast(self) -> (FixedI32<FracDst>, bool)

Casts the value.

impl<FracSrc: LeEqU64, FracDst: LeEqU32> OverflowingCast<FixedI32<FracDst>> for FixedI64<FracSrc>

fn overflowing_cast(self) -> (FixedI32<FracDst>, bool)

Casts the value.

impl<FracSrc: LeEqU128, FracDst: LeEqU32> OverflowingCast<FixedI32<FracDst>> for FixedI128<FracSrc>

fn overflowing_cast(self) -> (FixedI32<FracDst>, bool)

Casts the value.

impl<FracSrc: LeEqU8, FracDst: LeEqU32> OverflowingCast<FixedI32<FracDst>> for FixedU8<FracSrc>

fn overflowing_cast(self) -> (FixedI32<FracDst>, bool)

Casts the value.

impl<FracSrc: LeEqU16, FracDst: LeEqU32> OverflowingCast<FixedI32<FracDst>> for FixedU16<FracSrc>

fn overflowing_cast(self) -> (FixedI32<FracDst>, bool)

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> OverflowingCast<FixedI32<FracDst>> for FixedU32<FracSrc>

fn overflowing_cast(self) -> (FixedI32<FracDst>, bool)

Casts the value.

impl<FracSrc: LeEqU64, FracDst: LeEqU32> OverflowingCast<FixedI32<FracDst>> for FixedU64<FracSrc>

fn overflowing_cast(self) -> (FixedI32<FracDst>, bool)

Casts the value.

impl<FracSrc: LeEqU128, FracDst: LeEqU32> OverflowingCast<FixedI32<FracDst>> for FixedU128<FracSrc>

fn overflowing_cast(self) -> (FixedI32<FracDst>, bool)

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU64> OverflowingCast<FixedI64<FracDst>> for FixedI32<FracSrc>

fn overflowing_cast(self) -> (FixedI64<FracDst>, bool)

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU8> OverflowingCast<FixedI8<FracDst>> for FixedI32<FracSrc>

fn overflowing_cast(self) -> (FixedI8<FracDst>, bool)

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU128> OverflowingCast<FixedU128<FracDst>> for FixedI32<FracSrc>

fn overflowing_cast(self) -> (FixedU128<FracDst>, bool)

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU16> OverflowingCast<FixedU16<FracDst>> for FixedI32<FracSrc>

fn overflowing_cast(self) -> (FixedU16<FracDst>, bool)

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> OverflowingCast<FixedU32<FracDst>> for FixedI32<FracSrc>

fn overflowing_cast(self) -> (FixedU32<FracDst>, bool)

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU64> OverflowingCast<FixedU64<FracDst>> for FixedI32<FracSrc>

fn overflowing_cast(self) -> (FixedU64<FracDst>, bool)

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU8> OverflowingCast<FixedU8<FracDst>> for FixedI32<FracSrc>

fn overflowing_cast(self) -> (FixedU8<FracDst>, bool)

Casts the value.

impl<Frac: LeEqU32> OverflowingCast<bf16> for FixedI32<Frac>

fn overflowing_cast(self) -> (bf16, bool)

Casts the value.

impl<Frac: LeEqU32> OverflowingCast<f16> for FixedI32<Frac>

fn overflowing_cast(self) -> (f16, bool)

Casts the value.

impl<Frac: LeEqU32> OverflowingCast<f32> for FixedI32<Frac>

fn overflowing_cast(self) -> (f32, bool)

Casts the value.

impl<Frac: LeEqU32> OverflowingCast<f64> for FixedI32<Frac>

fn overflowing_cast(self) -> (f64, bool)

Casts the value.

impl<Frac: LeEqU32> OverflowingCast<i128> for FixedI32<Frac>

fn overflowing_cast(self) -> (i128, bool)

Casts the value.

impl<Frac: LeEqU32> OverflowingCast<i16> for FixedI32<Frac>

fn overflowing_cast(self) -> (i16, bool)

Casts the value.

impl<Frac: LeEqU32> OverflowingCast<i32> for FixedI32<Frac>

fn overflowing_cast(self) -> (i32, bool)

Casts the value.

impl<Frac: LeEqU32> OverflowingCast<i64> for FixedI32<Frac>

fn overflowing_cast(self) -> (i64, bool)

Casts the value.

impl<Frac: LeEqU32> OverflowingCast<i8> for FixedI32<Frac>

fn overflowing_cast(self) -> (i8, bool)

Casts the value.

impl<Frac: LeEqU32> OverflowingCast<isize> for FixedI32<Frac>

fn overflowing_cast(self) -> (isize, bool)

Casts the value.

impl<Frac: LeEqU32> OverflowingCast<u128> for FixedI32<Frac>

fn overflowing_cast(self) -> (u128, bool)

Casts the value.

impl<Frac: LeEqU32> OverflowingCast<u16> for FixedI32<Frac>

fn overflowing_cast(self) -> (u16, bool)

Casts the value.

impl<Frac: LeEqU32> OverflowingCast<u32> for FixedI32<Frac>

fn overflowing_cast(self) -> (u32, bool)

Casts the value.

impl<Frac: LeEqU32> OverflowingCast<u64> for FixedI32<Frac>

fn overflowing_cast(self) -> (u64, bool)

Casts the value.

impl<Frac: LeEqU32> OverflowingCast<u8> for FixedI32<Frac>

fn overflowing_cast(self) -> (u8, bool)

Casts the value.

impl<Frac: LeEqU32> OverflowingCast<usize> for FixedI32<Frac>

fn overflowing_cast(self) -> (usize, bool)

Casts the value.

impl<Frac: LeEqU32> OverflowingMul for FixedI32<Frac>

fn overflowing_mul(&self, v: &Self) -> (Self, bool)

Returns a tuple of the product along with a boolean indicating whether an arithmetic overflow would occur. If an overflow would have occurred then the wrapped value is returned.

impl<Frac> OverflowingSub for FixedI32<Frac>

fn overflowing_sub(&self, v: &Self) -> (Self, bool)

Returns a tuple of the difference along with a boolean indicating whether an arithmetic overflow would occur. If an overflow would have occurred then the wrapped value is returned.

impl<Frac: LeEqU32> PartialEq<F128Bits> for FixedI32<Frac>

fn eq(&self, rhs: &F128Bits) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU32, FracRhs: LeEqU128> PartialEq<FixedI128<FracRhs>> for FixedI32<FracLhs>

fn eq(&self, rhs: &FixedI128<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU32, FracRhs: LeEqU16> PartialEq<FixedI16<FracRhs>> for FixedI32<FracLhs>

fn eq(&self, rhs: &FixedI16<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<Frac: LeEqU32> PartialEq<FixedI32<Frac>> for F128Bits

fn eq(&self, rhs: &FixedI32<Frac>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU8, FracRhs: LeEqU32> PartialEq<FixedI32<FracRhs>> for FixedI8<FracLhs>

fn eq(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU16, FracRhs: LeEqU32> PartialEq<FixedI32<FracRhs>> for FixedI16<FracLhs>

fn eq(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU32, FracRhs: LeEqU32> PartialEq<FixedI32<FracRhs>> for FixedI32<FracLhs>

fn eq(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU64, FracRhs: LeEqU32> PartialEq<FixedI32<FracRhs>> for FixedI64<FracLhs>

fn eq(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU128, FracRhs: LeEqU32> PartialEq<FixedI32<FracRhs>> for FixedI128<FracLhs>

fn eq(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU8, FracRhs: LeEqU32> PartialEq<FixedI32<FracRhs>> for FixedU8<FracLhs>

fn eq(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU16, FracRhs: LeEqU32> PartialEq<FixedI32<FracRhs>> for FixedU16<FracLhs>

fn eq(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU32, FracRhs: LeEqU32> PartialEq<FixedI32<FracRhs>> for FixedU32<FracLhs>

fn eq(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU64, FracRhs: LeEqU32> PartialEq<FixedI32<FracRhs>> for FixedU64<FracLhs>

fn eq(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU128, FracRhs: LeEqU32> PartialEq<FixedI32<FracRhs>> for FixedU128<FracLhs>

fn eq(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU32, FracRhs: LeEqU64> PartialEq<FixedI64<FracRhs>> for FixedI32<FracLhs>

fn eq(&self, rhs: &FixedI64<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU32, FracRhs: LeEqU8> PartialEq<FixedI8<FracRhs>> for FixedI32<FracLhs>

fn eq(&self, rhs: &FixedI8<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU32, FracRhs: LeEqU128> PartialEq<FixedU128<FracRhs>> for FixedI32<FracLhs>

fn eq(&self, rhs: &FixedU128<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU32, FracRhs: LeEqU16> PartialEq<FixedU16<FracRhs>> for FixedI32<FracLhs>

fn eq(&self, rhs: &FixedU16<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU32, FracRhs: LeEqU32> PartialEq<FixedU32<FracRhs>> for FixedI32<FracLhs>

fn eq(&self, rhs: &FixedU32<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU32, FracRhs: LeEqU64> PartialEq<FixedU64<FracRhs>> for FixedI32<FracLhs>

fn eq(&self, rhs: &FixedU64<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<FracLhs: LeEqU32, FracRhs: LeEqU8> PartialEq<FixedU8<FracRhs>> for FixedI32<FracLhs>

fn eq(&self, rhs: &FixedU8<FracRhs>) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<Frac: LeEqU32> PartialEq<bf16> for FixedI32<Frac>

fn eq(&self, rhs: &bf16) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<Frac: LeEqU32> PartialEq<f16> for FixedI32<Frac>

fn eq(&self, rhs: &f16) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<Frac: LeEqU32> PartialEq<f32> for FixedI32<Frac>

fn eq(&self, rhs: &f32) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<Frac: LeEqU32> PartialEq<f64> for FixedI32<Frac>

fn eq(&self, rhs: &f64) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<Frac: LeEqU32> PartialEq<i128> for FixedI32<Frac>

fn eq(&self, rhs: &i128) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<Frac: LeEqU32> PartialEq<i16> for FixedI32<Frac>

fn eq(&self, rhs: &i16) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<Frac: LeEqU32> PartialEq<i32> for FixedI32<Frac>

fn eq(&self, rhs: &i32) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<Frac: LeEqU32> PartialEq<i64> for FixedI32<Frac>

fn eq(&self, rhs: &i64) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<Frac: LeEqU32> PartialEq<i8> for FixedI32<Frac>

fn eq(&self, rhs: &i8) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<Frac: LeEqU32> PartialEq<isize> for FixedI32<Frac>

fn eq(&self, rhs: &isize) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<Frac: LeEqU32> PartialEq<u128> for FixedI32<Frac>

fn eq(&self, rhs: &u128) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<Frac: LeEqU32> PartialEq<u16> for FixedI32<Frac>

fn eq(&self, rhs: &u16) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<Frac: LeEqU32> PartialEq<u32> for FixedI32<Frac>

fn eq(&self, rhs: &u32) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<Frac: LeEqU32> PartialEq<u64> for FixedI32<Frac>

fn eq(&self, rhs: &u64) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<Frac: LeEqU32> PartialEq<u8> for FixedI32<Frac>

fn eq(&self, rhs: &u8) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<Frac: LeEqU32> PartialEq<usize> for FixedI32<Frac>

fn eq(&self, rhs: &usize) -> bool

This method tests for self and other values to be equal, and is used by ==.

#[must_use]

fn ne(&self, other: &Rhs) -> bool

This method tests for !=.

impl<Frac: LeEqU32> PartialOrd<F128Bits> for FixedI32<Frac>

fn partial_cmp(&self, rhs: &F128Bits) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &F128Bits) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &F128Bits) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &F128Bits) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &F128Bits) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU32, FracRhs: LeEqU128> PartialOrd<FixedI128<FracRhs>> for FixedI32<FracLhs>

fn partial_cmp(&self, rhs: &FixedI128<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedI128<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedI128<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedI128<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedI128<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU32, FracRhs: LeEqU16> PartialOrd<FixedI16<FracRhs>> for FixedI32<FracLhs>

fn partial_cmp(&self, rhs: &FixedI16<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedI16<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedI16<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedI16<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedI16<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<Frac: LeEqU32> PartialOrd<FixedI32<Frac>> for F128Bits

fn partial_cmp(&self, rhs: &FixedI32<Frac>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedI32<Frac>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedI32<Frac>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedI32<Frac>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedI32<Frac>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU8, FracRhs: LeEqU32> PartialOrd<FixedI32<FracRhs>> for FixedI8<FracLhs>

fn partial_cmp(&self, rhs: &FixedI32<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU16, FracRhs: LeEqU32> PartialOrd<FixedI32<FracRhs>> for FixedI16<FracLhs>

fn partial_cmp(&self, rhs: &FixedI32<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU32, FracRhs: LeEqU32> PartialOrd<FixedI32<FracRhs>> for FixedI32<FracLhs>

fn partial_cmp(&self, rhs: &FixedI32<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU64, FracRhs: LeEqU32> PartialOrd<FixedI32<FracRhs>> for FixedI64<FracLhs>

fn partial_cmp(&self, rhs: &FixedI32<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU128, FracRhs: LeEqU32> PartialOrd<FixedI32<FracRhs>> for FixedI128<FracLhs>

fn partial_cmp(&self, rhs: &FixedI32<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU8, FracRhs: LeEqU32> PartialOrd<FixedI32<FracRhs>> for FixedU8<FracLhs>

fn partial_cmp(&self, rhs: &FixedI32<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU16, FracRhs: LeEqU32> PartialOrd<FixedI32<FracRhs>> for FixedU16<FracLhs>

fn partial_cmp(&self, rhs: &FixedI32<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU32, FracRhs: LeEqU32> PartialOrd<FixedI32<FracRhs>> for FixedU32<FracLhs>

fn partial_cmp(&self, rhs: &FixedI32<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU64, FracRhs: LeEqU32> PartialOrd<FixedI32<FracRhs>> for FixedU64<FracLhs>

fn partial_cmp(&self, rhs: &FixedI32<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU128, FracRhs: LeEqU32> PartialOrd<FixedI32<FracRhs>> for FixedU128<FracLhs>

fn partial_cmp(&self, rhs: &FixedI32<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedI32<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU32, FracRhs: LeEqU64> PartialOrd<FixedI64<FracRhs>> for FixedI32<FracLhs>

fn partial_cmp(&self, rhs: &FixedI64<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedI64<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedI64<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedI64<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedI64<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU32, FracRhs: LeEqU8> PartialOrd<FixedI8<FracRhs>> for FixedI32<FracLhs>

fn partial_cmp(&self, rhs: &FixedI8<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedI8<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedI8<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedI8<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedI8<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU32, FracRhs: LeEqU128> PartialOrd<FixedU128<FracRhs>> for FixedI32<FracLhs>

fn partial_cmp(&self, rhs: &FixedU128<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedU128<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedU128<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedU128<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedU128<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU32, FracRhs: LeEqU16> PartialOrd<FixedU16<FracRhs>> for FixedI32<FracLhs>

fn partial_cmp(&self, rhs: &FixedU16<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedU16<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedU16<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedU16<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedU16<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU32, FracRhs: LeEqU32> PartialOrd<FixedU32<FracRhs>> for FixedI32<FracLhs>

fn partial_cmp(&self, rhs: &FixedU32<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedU32<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedU32<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedU32<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedU32<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU32, FracRhs: LeEqU64> PartialOrd<FixedU64<FracRhs>> for FixedI32<FracLhs>

fn partial_cmp(&self, rhs: &FixedU64<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedU64<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedU64<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedU64<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedU64<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<FracLhs: LeEqU32, FracRhs: LeEqU8> PartialOrd<FixedU8<FracRhs>> for FixedI32<FracLhs>

fn partial_cmp(&self, rhs: &FixedU8<FracRhs>) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &FixedU8<FracRhs>) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &FixedU8<FracRhs>) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &FixedU8<FracRhs>) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &FixedU8<FracRhs>) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<Frac: LeEqU32> PartialOrd<bf16> for FixedI32<Frac>

fn partial_cmp(&self, rhs: &bf16) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &bf16) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &bf16) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &bf16) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &bf16) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<Frac: LeEqU32> PartialOrd<f16> for FixedI32<Frac>

fn partial_cmp(&self, rhs: &f16) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &f16) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &f16) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &f16) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &f16) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<Frac: LeEqU32> PartialOrd<f32> for FixedI32<Frac>

fn partial_cmp(&self, rhs: &f32) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &f32) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &f32) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &f32) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &f32) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<Frac: LeEqU32> PartialOrd<f64> for FixedI32<Frac>

fn partial_cmp(&self, rhs: &f64) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &f64) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &f64) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &f64) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &f64) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<Frac: LeEqU32> PartialOrd<i128> for FixedI32<Frac>

fn partial_cmp(&self, rhs: &i128) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &i128) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &i128) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &i128) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &i128) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<Frac: LeEqU32> PartialOrd<i16> for FixedI32<Frac>

fn partial_cmp(&self, rhs: &i16) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &i16) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &i16) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &i16) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &i16) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<Frac: LeEqU32> PartialOrd<i32> for FixedI32<Frac>

fn partial_cmp(&self, rhs: &i32) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &i32) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &i32) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &i32) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &i32) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<Frac: LeEqU32> PartialOrd<i64> for FixedI32<Frac>

fn partial_cmp(&self, rhs: &i64) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &i64) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &i64) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &i64) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &i64) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<Frac: LeEqU32> PartialOrd<i8> for FixedI32<Frac>

fn partial_cmp(&self, rhs: &i8) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &i8) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &i8) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &i8) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &i8) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<Frac: LeEqU32> PartialOrd<isize> for FixedI32<Frac>

fn partial_cmp(&self, rhs: &isize) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &isize) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &isize) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &isize) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &isize) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<Frac: LeEqU32> PartialOrd<u128> for FixedI32<Frac>

fn partial_cmp(&self, rhs: &u128) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &u128) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &u128) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &u128) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &u128) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<Frac: LeEqU32> PartialOrd<u16> for FixedI32<Frac>

fn partial_cmp(&self, rhs: &u16) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &u16) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &u16) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &u16) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &u16) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<Frac: LeEqU32> PartialOrd<u32> for FixedI32<Frac>

fn partial_cmp(&self, rhs: &u32) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &u32) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &u32) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &u32) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &u32) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<Frac: LeEqU32> PartialOrd<u64> for FixedI32<Frac>

fn partial_cmp(&self, rhs: &u64) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &u64) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &u64) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &u64) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &u64) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<Frac: LeEqU32> PartialOrd<u8> for FixedI32<Frac>

fn partial_cmp(&self, rhs: &u8) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &u8) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &u8) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &u8) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &u8) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<Frac: LeEqU32> PartialOrd<usize> for FixedI32<Frac>

fn partial_cmp(&self, rhs: &usize) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, rhs: &usize) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, rhs: &usize) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, rhs: &usize) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, rhs: &usize) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl<'a, Frac: 'a + LeEqU32> Product<&'a FixedI32<Frac>> for FixedI32<Frac>

fn product<I>(iter: I) -> FixedI32<Frac> where
    I: Iterator<Item = &'a FixedI32<Frac>>, 

Method which takes an iterator and generates Self from the elements by multiplying the items.

impl<Frac: LeEqU32> Product<FixedI32<Frac>> for FixedI32<Frac>

fn product<I>(iter: I) -> FixedI32<Frac> where
    I: Iterator<Item = FixedI32<Frac>>, 

Method which takes an iterator and generates Self from the elements by multiplying the items.

impl<Frac> Rem<&'_ FixedI32<Frac>> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the % operator.

fn rem(self, rhs: &FixedI32<Frac>) -> FixedI32<Frac>

Performs the % operation.

impl<Frac> Rem<&'_ FixedI32<Frac>> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the % operator.

fn rem(self, rhs: &FixedI32<Frac>) -> FixedI32<Frac>

Performs the % operation.

impl<Frac: LeEqU32> Rem<&'_ i32> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the % operator.

fn rem(self, rhs: &i32) -> FixedI32<Frac>

Performs the % operation.

impl<Frac: LeEqU32> Rem<&'_ i32> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the % operator.

fn rem(self, rhs: &i32) -> FixedI32<Frac>

Performs the % operation.

impl<Frac> Rem<FixedI32<Frac>> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the % operator.

fn rem(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Performs the % operation.

impl<Frac> Rem<FixedI32<Frac>> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the % operator.

fn rem(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Performs the % operation.

impl<Frac: LeEqU32> Rem<i32> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the % operator.

fn rem(self, rhs: i32) -> FixedI32<Frac>

Performs the % operation.

impl<Frac: LeEqU32> Rem<i32> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the % operator.

fn rem(self, rhs: i32) -> FixedI32<Frac>

Performs the % operation.

impl<Frac> RemAssign<&'_ FixedI32<Frac>> for FixedI32<Frac>

fn rem_assign(&mut self, rhs: &FixedI32<Frac>)

Performs the %= operation.

impl<Frac: LeEqU32> RemAssign<&'_ i32> for FixedI32<Frac>

fn rem_assign(&mut self, rhs: &i32)

Performs the %= operation.

impl<Frac> RemAssign<FixedI32<Frac>> for FixedI32<Frac>

fn rem_assign(&mut self, rhs: FixedI32<Frac>)

Performs the %= operation.

impl<Frac: LeEqU32> RemAssign<i32> for FixedI32<Frac>

fn rem_assign(&mut self, rhs: i32)

Performs the %= operation.

impl<Frac> SaturatingAdd for FixedI32<Frac>

fn saturating_add(&self, v: &Self) -> Self

Saturating addition. Computes self + other, saturating at the relevant high or low boundary of the type.

impl<Frac: LeEqU32> SaturatingCast<F128Bits> for FixedI32<Frac>

fn saturating_cast(self) -> F128Bits

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU128> SaturatingCast<FixedI128<FracDst>> for FixedI32<FracSrc>

fn saturating_cast(self) -> FixedI128<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU16> SaturatingCast<FixedI16<FracDst>> for FixedI32<FracSrc>

fn saturating_cast(self) -> FixedI16<FracDst>

Casts the value.

impl<Frac: LeEqU32> SaturatingCast<FixedI32<Frac>> for F128Bits

fn saturating_cast(self) -> FixedI32<Frac>

Casts the value.

impl<FracSrc: LeEqU8, FracDst: LeEqU32> SaturatingCast<FixedI32<FracDst>> for FixedI8<FracSrc>

fn saturating_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU16, FracDst: LeEqU32> SaturatingCast<FixedI32<FracDst>> for FixedI16<FracSrc>

fn saturating_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> SaturatingCast<FixedI32<FracDst>> for FixedI32<FracSrc>

fn saturating_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU64, FracDst: LeEqU32> SaturatingCast<FixedI32<FracDst>> for FixedI64<FracSrc>

fn saturating_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU128, FracDst: LeEqU32> SaturatingCast<FixedI32<FracDst>> for FixedI128<FracSrc>

fn saturating_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU8, FracDst: LeEqU32> SaturatingCast<FixedI32<FracDst>> for FixedU8<FracSrc>

fn saturating_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU16, FracDst: LeEqU32> SaturatingCast<FixedI32<FracDst>> for FixedU16<FracSrc>

fn saturating_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> SaturatingCast<FixedI32<FracDst>> for FixedU32<FracSrc>

fn saturating_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU64, FracDst: LeEqU32> SaturatingCast<FixedI32<FracDst>> for FixedU64<FracSrc>

fn saturating_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU128, FracDst: LeEqU32> SaturatingCast<FixedI32<FracDst>> for FixedU128<FracSrc>

fn saturating_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU64> SaturatingCast<FixedI64<FracDst>> for FixedI32<FracSrc>

fn saturating_cast(self) -> FixedI64<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU8> SaturatingCast<FixedI8<FracDst>> for FixedI32<FracSrc>

fn saturating_cast(self) -> FixedI8<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU128> SaturatingCast<FixedU128<FracDst>> for FixedI32<FracSrc>

fn saturating_cast(self) -> FixedU128<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU16> SaturatingCast<FixedU16<FracDst>> for FixedI32<FracSrc>

fn saturating_cast(self) -> FixedU16<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> SaturatingCast<FixedU32<FracDst>> for FixedI32<FracSrc>

fn saturating_cast(self) -> FixedU32<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU64> SaturatingCast<FixedU64<FracDst>> for FixedI32<FracSrc>

fn saturating_cast(self) -> FixedU64<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU8> SaturatingCast<FixedU8<FracDst>> for FixedI32<FracSrc>

fn saturating_cast(self) -> FixedU8<FracDst>

Casts the value.

impl<Frac: LeEqU32> SaturatingCast<bf16> for FixedI32<Frac>

fn saturating_cast(self) -> bf16

Casts the value.

impl<Frac: LeEqU32> SaturatingCast<f16> for FixedI32<Frac>

fn saturating_cast(self) -> f16

Casts the value.

impl<Frac: LeEqU32> SaturatingCast<f32> for FixedI32<Frac>

fn saturating_cast(self) -> f32

Casts the value.

impl<Frac: LeEqU32> SaturatingCast<f64> for FixedI32<Frac>

fn saturating_cast(self) -> f64

Casts the value.

impl<Frac: LeEqU32> SaturatingCast<i128> for FixedI32<Frac>

fn saturating_cast(self) -> i128

Casts the value.

impl<Frac: LeEqU32> SaturatingCast<i16> for FixedI32<Frac>

fn saturating_cast(self) -> i16

Casts the value.

impl<Frac: LeEqU32> SaturatingCast<i32> for FixedI32<Frac>

fn saturating_cast(self) -> i32

Casts the value.

impl<Frac: LeEqU32> SaturatingCast<i64> for FixedI32<Frac>

fn saturating_cast(self) -> i64

Casts the value.

impl<Frac: LeEqU32> SaturatingCast<i8> for FixedI32<Frac>

fn saturating_cast(self) -> i8

Casts the value.

impl<Frac: LeEqU32> SaturatingCast<isize> for FixedI32<Frac>

fn saturating_cast(self) -> isize

Casts the value.

impl<Frac: LeEqU32> SaturatingCast<u128> for FixedI32<Frac>

fn saturating_cast(self) -> u128

Casts the value.

impl<Frac: LeEqU32> SaturatingCast<u16> for FixedI32<Frac>

fn saturating_cast(self) -> u16

Casts the value.

impl<Frac: LeEqU32> SaturatingCast<u32> for FixedI32<Frac>

fn saturating_cast(self) -> u32

Casts the value.

impl<Frac: LeEqU32> SaturatingCast<u64> for FixedI32<Frac>

fn saturating_cast(self) -> u64

Casts the value.

impl<Frac: LeEqU32> SaturatingCast<u8> for FixedI32<Frac>

fn saturating_cast(self) -> u8

Casts the value.

impl<Frac: LeEqU32> SaturatingCast<usize> for FixedI32<Frac>

fn saturating_cast(self) -> usize

Casts the value.

impl<Frac: LeEqU32> SaturatingMul for FixedI32<Frac>

fn saturating_mul(&self, v: &Self) -> Self

Saturating multiplication. Computes self * other, saturating at the relevant high or low boundary of the type.

impl<Frac> SaturatingSub for FixedI32<Frac>

fn saturating_sub(&self, v: &Self) -> Self

Saturating subtraction. Computes self - other, saturating at the relevant high or low boundary of the type.

impl<Frac: LeEqU32> Serialize for FixedI32<Frac>

fn serialize<S: Serializer>(&self, serializer: S) -> Result<S::Ok, S::Error>

Serialize this value into the given Serde serializer.

impl<Frac> Shl<&'_ i128> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &i128) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ i128> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &i128) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ i16> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &i16) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ i16> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &i16) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ i32> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &i32) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ i32> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &i32) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ i64> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &i64) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ i64> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &i64) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ i8> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &i8) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ i8> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &i8) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ isize> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &isize) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ isize> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &isize) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ u128> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &u128) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ u128> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &u128) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ u16> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &u16) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ u16> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &u16) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ u32> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &u32) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ u32> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &u32) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ u64> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &u64) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ u64> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &u64) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ u8> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &u8) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ u8> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &u8) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ usize> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &usize) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<&'_ usize> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: &usize) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<i128> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: i128) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<i128> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: i128) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<i16> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: i16) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<i16> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: i16) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<i32> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: i32) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<i32> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: i32) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<i64> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: i64) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<i64> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: i64) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<i8> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: i8) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<i8> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: i8) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<isize> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: isize) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<isize> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: isize) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<u128> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: u128) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<u128> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: u128) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<u16> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: u16) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<u16> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: u16) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<u32> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: u32) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<u32> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: u32) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<u64> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: u64) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<u64> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: u64) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<u8> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: u8) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<u8> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: u8) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<usize> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: usize) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> Shl<usize> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the << operator.

fn shl(self, rhs: usize) -> FixedI32<Frac>

Performs the << operation.

impl<Frac> ShlAssign<&'_ i128> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: &i128)

Performs the <<= operation.

impl<Frac> ShlAssign<&'_ i16> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: &i16)

Performs the <<= operation.

impl<Frac> ShlAssign<&'_ i32> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: &i32)

Performs the <<= operation.

impl<Frac> ShlAssign<&'_ i64> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: &i64)

Performs the <<= operation.

impl<Frac> ShlAssign<&'_ i8> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: &i8)

Performs the <<= operation.

impl<Frac> ShlAssign<&'_ isize> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: &isize)

Performs the <<= operation.

impl<Frac> ShlAssign<&'_ u128> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: &u128)

Performs the <<= operation.

impl<Frac> ShlAssign<&'_ u16> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: &u16)

Performs the <<= operation.

impl<Frac> ShlAssign<&'_ u32> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: &u32)

Performs the <<= operation.

impl<Frac> ShlAssign<&'_ u64> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: &u64)

Performs the <<= operation.

impl<Frac> ShlAssign<&'_ u8> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: &u8)

Performs the <<= operation.

impl<Frac> ShlAssign<&'_ usize> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: &usize)

Performs the <<= operation.

impl<Frac> ShlAssign<i128> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: i128)

Performs the <<= operation.

impl<Frac> ShlAssign<i16> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: i16)

Performs the <<= operation.

impl<Frac> ShlAssign<i32> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: i32)

Performs the <<= operation.

impl<Frac> ShlAssign<i64> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: i64)

Performs the <<= operation.

impl<Frac> ShlAssign<i8> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: i8)

Performs the <<= operation.

impl<Frac> ShlAssign<isize> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: isize)

Performs the <<= operation.

impl<Frac> ShlAssign<u128> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: u128)

Performs the <<= operation.

impl<Frac> ShlAssign<u16> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: u16)

Performs the <<= operation.

impl<Frac> ShlAssign<u32> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: u32)

Performs the <<= operation.

impl<Frac> ShlAssign<u64> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: u64)

Performs the <<= operation.

impl<Frac> ShlAssign<u8> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: u8)

Performs the <<= operation.

impl<Frac> ShlAssign<usize> for FixedI32<Frac>

fn shl_assign(&mut self, rhs: usize)

Performs the <<= operation.

impl<Frac> Shr<&'_ i128> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &i128) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ i128> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &i128) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ i16> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &i16) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ i16> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &i16) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ i32> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &i32) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ i32> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &i32) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ i64> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &i64) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ i64> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &i64) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ i8> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &i8) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ i8> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &i8) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ isize> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &isize) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ isize> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &isize) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ u128> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &u128) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ u128> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &u128) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ u16> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &u16) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ u16> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &u16) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ u32> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &u32) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ u32> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &u32) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ u64> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &u64) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ u64> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &u64) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ u8> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &u8) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ u8> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &u8) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ usize> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &usize) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<&'_ usize> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: &usize) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<i128> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: i128) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<i128> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: i128) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<i16> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: i16) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<i16> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: i16) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<i32> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: i32) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<i32> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: i32) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<i64> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: i64) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<i64> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: i64) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<i8> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: i8) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<i8> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: i8) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<isize> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: isize) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<isize> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: isize) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<u128> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: u128) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<u128> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: u128) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<u16> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: u16) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<u16> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: u16) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<u32> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: u32) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<u32> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: u32) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<u64> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: u64) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<u64> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: u64) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<u8> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: u8) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<u8> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: u8) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<usize> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: usize) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> Shr<usize> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the >> operator.

fn shr(self, rhs: usize) -> FixedI32<Frac>

Performs the >> operation.

impl<Frac> ShrAssign<&'_ i128> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: &i128)

Performs the >>= operation.

impl<Frac> ShrAssign<&'_ i16> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: &i16)

Performs the >>= operation.

impl<Frac> ShrAssign<&'_ i32> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: &i32)

Performs the >>= operation.

impl<Frac> ShrAssign<&'_ i64> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: &i64)

Performs the >>= operation.

impl<Frac> ShrAssign<&'_ i8> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: &i8)

Performs the >>= operation.

impl<Frac> ShrAssign<&'_ isize> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: &isize)

Performs the >>= operation.

impl<Frac> ShrAssign<&'_ u128> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: &u128)

Performs the >>= operation.

impl<Frac> ShrAssign<&'_ u16> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: &u16)

Performs the >>= operation.

impl<Frac> ShrAssign<&'_ u32> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: &u32)

Performs the >>= operation.

impl<Frac> ShrAssign<&'_ u64> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: &u64)

Performs the >>= operation.

impl<Frac> ShrAssign<&'_ u8> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: &u8)

Performs the >>= operation.

impl<Frac> ShrAssign<&'_ usize> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: &usize)

Performs the >>= operation.

impl<Frac> ShrAssign<i128> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: i128)

Performs the >>= operation.

impl<Frac> ShrAssign<i16> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: i16)

Performs the >>= operation.

impl<Frac> ShrAssign<i32> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: i32)

Performs the >>= operation.

impl<Frac> ShrAssign<i64> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: i64)

Performs the >>= operation.

impl<Frac> ShrAssign<i8> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: i8)

Performs the >>= operation.

impl<Frac> ShrAssign<isize> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: isize)

Performs the >>= operation.

impl<Frac> ShrAssign<u128> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: u128)

Performs the >>= operation.

impl<Frac> ShrAssign<u16> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: u16)

Performs the >>= operation.

impl<Frac> ShrAssign<u32> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: u32)

Performs the >>= operation.

impl<Frac> ShrAssign<u64> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: u64)

Performs the >>= operation.

impl<Frac> ShrAssign<u8> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: u8)

Performs the >>= operation.

impl<Frac> ShrAssign<usize> for FixedI32<Frac>

fn shr_assign(&mut self, rhs: usize)

Performs the >>= operation.

impl<Frac: LeEqU32> Signed for FixedI32<Frac> where
    Frac: IsLessOrEqual<U30, Output = True>, 

fn abs(&self) -> Self

Computes the absolute value.

fn abs_sub(&self, other: &Self) -> Self

The positive difference of two numbers.

fn signum(&self) -> Self

Returns the sign of the number.

fn is_positive(&self) -> bool

Returns true if the number is positive and false if the number is zero or negative.

fn is_negative(&self) -> bool

Returns true if the number is negative and false if the number is zero or positive.

impl<Frac> Sub<&'_ FixedI32<Frac>> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the - operator.

fn sub(self, rhs: &FixedI32<Frac>) -> FixedI32<Frac>

Performs the - operation.

impl<Frac> Sub<&'_ FixedI32<Frac>> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the - operator.

fn sub(self, rhs: &FixedI32<Frac>) -> FixedI32<Frac>

Performs the - operation.

impl<Frac> Sub<FixedI32<Frac>> for FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the - operator.

fn sub(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Performs the - operation.

impl<Frac> Sub<FixedI32<Frac>> for &FixedI32<Frac>

type Output = FixedI32<Frac>

The resulting type after applying the - operator.

fn sub(self, rhs: FixedI32<Frac>) -> FixedI32<Frac>

Performs the - operation.

impl<Frac> SubAssign<&'_ FixedI32<Frac>> for FixedI32<Frac>

fn sub_assign(&mut self, rhs: &FixedI32<Frac>)

Performs the -= operation.

impl<Frac> SubAssign<FixedI32<Frac>> for FixedI32<Frac>

fn sub_assign(&mut self, rhs: FixedI32<Frac>)

Performs the -= operation.

impl<'a, Frac: 'a> Sum<&'a FixedI32<Frac>> for FixedI32<Frac>

fn sum<I>(iter: I) -> FixedI32<Frac> where
    I: Iterator<Item = &'a FixedI32<Frac>>, 

Method which takes an iterator and generates Self from the elements by “summing up” the items.

impl<Frac> Sum<FixedI32<Frac>> for FixedI32<Frac>

fn sum<I>(iter: I) -> FixedI32<Frac> where
    I: Iterator<Item = FixedI32<Frac>>, 

Method which takes an iterator and generates Self from the elements by “summing up” the items.

impl<Frac: LeEqU32> ToFixed for FixedI32<Frac>

fn to_fixed<F: Fixed>(self) -> F

Converts a fixed-point number.

Any extra fractional bits are discarded, which rounds towards −∞.

Panics

When debug assertions are enabled, panics if the value does not fit. When debug assertions are not enabled, the wrapped value can be returned, but it is not considered a breaking change if in the future it panics; if wrapping is required use wrapping_to_fixed instead.

fn checked_to_fixed<F: Fixed>(self) -> Option<F>

Converts a fixed-point number if it fits, otherwise returns None.

Any extra fractional bits are discarded, which rounds towards −∞.

fn saturating_to_fixed<F: Fixed>(self) -> F

Converts a fixed-point number, saturating if it does not fit.

Any extra fractional bits are discarded, which rounds towards −∞.

fn wrapping_to_fixed<F: Fixed>(self) -> F

Converts a fixed-point number, wrapping if it does not fit.

Any extra fractional bits are discarded, which rounds towards −∞.

fn overflowing_to_fixed<F: Fixed>(self) -> (F, bool)

Converts a fixed-point number.

Returns a tuple of the value and a bool indicating whether an overflow has occurred. On overflow, the wrapped value is returned.

Any extra fractional bits are discarded, which rounds towards −∞.

fn unwrapped_to_fixed<F: Fixed>(self) -> F

Converts a fixed-point number, panicking if it does not fit.

Any extra fractional bits are discarded, which rounds towards −∞.

Panics

Panics if the value does not fit, even when debug assertions are not enabled.

impl<Frac: LeEqU32> ToPrimitive for FixedI32<Frac>

fn to_i64(&self) -> Option<i64>

Converts the value of self to an i64. If the value cannot be represented by an i64, then None is returned.

fn to_u64(&self) -> Option<u64>

Converts the value of self to a u64. If the value cannot be represented by a u64, then None is returned.

fn to_isize(&self) -> Option<isize>

Converts the value of self to an isize. If the value cannot be represented by an isize, then None is returned.

fn to_i8(&self) -> Option<i8>

Converts the value of self to an i8. If the value cannot be represented by an i8, then None is returned.

fn to_i16(&self) -> Option<i16>

Converts the value of self to an i16. If the value cannot be represented by an i16, then None is returned.

fn to_i32(&self) -> Option<i32>

Converts the value of self to an i32. If the value cannot be represented by an i32, then None is returned.

fn to_i128(&self) -> Option<i128>

Converts the value of self to an i128. If the value cannot be represented by an i128 (i64 under the default implementation), then None is returned.

fn to_usize(&self) -> Option<usize>

Converts the value of self to a usize. If the value cannot be represented by a usize, then None is returned.

fn to_u8(&self) -> Option<u8>

Converts the value of self to a u8. If the value cannot be represented by a u8, then None is returned.

fn to_u16(&self) -> Option<u16>

Converts the value of self to a u16. If the value cannot be represented by a u16, then None is returned.

fn to_u32(&self) -> Option<u32>

Converts the value of self to a u32. If the value cannot be represented by a u32, then None is returned.

fn to_u128(&self) -> Option<u128>

Converts the value of self to a u128. If the value cannot be represented by a u128 (u64 under the default implementation), then None is returned.

fn to_f32(&self) -> Option<f32>

Converts the value of self to an f32. Overflows may map to positive or negative inifinity, otherwise None is returned if the value cannot be represented by an f32.

fn to_f64(&self) -> Option<f64>

Converts the value of self to an f64. Overflows may map to positive or negative inifinity, otherwise None is returned if the value cannot be represented by an f64.

impl<Frac: LeEqU32> TransparentWrapper<FixedI32<Frac>> for Wrapping<FixedI32<Frac>>

fn wrap_ref(s: &Wrapped) -> &Self

Convert a reference to a wrapped type into a reference to the wrapper.

fn wrap_mut(s: &mut Wrapped) -> &mut Self

Convert a mut reference to a wrapped type into a mut reference to the wrapper.

impl<Frac: LeEqU32> TransparentWrapper<FixedI32<Frac>> for Unwrapped<FixedI32<Frac>>

fn wrap_ref(s: &Wrapped) -> &Self

Convert a reference to a wrapped type into a reference to the wrapper.

fn wrap_mut(s: &mut Wrapped) -> &mut Self

Convert a mut reference to a wrapped type into a mut reference to the wrapper.

impl<Frac> TransparentWrapper<i32> for FixedI32<Frac>

fn wrap_ref(s: &Wrapped) -> &Self

Convert a reference to a wrapped type into a reference to the wrapper.

fn wrap_mut(s: &mut Wrapped) -> &mut Self

Convert a mut reference to a wrapped type into a mut reference to the wrapper.

impl<Frac: LeEqU32> UnwrappedCast<F128Bits> for FixedI32<Frac>

fn unwrapped_cast(self) -> F128Bits

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU128> UnwrappedCast<FixedI128<FracDst>> for FixedI32<FracSrc>

fn unwrapped_cast(self) -> FixedI128<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU16> UnwrappedCast<FixedI16<FracDst>> for FixedI32<FracSrc>

fn unwrapped_cast(self) -> FixedI16<FracDst>

Casts the value.

impl<Frac: LeEqU32> UnwrappedCast<FixedI32<Frac>> for F128Bits

fn unwrapped_cast(self) -> FixedI32<Frac>

Casts the value.

impl<FracSrc: LeEqU8, FracDst: LeEqU32> UnwrappedCast<FixedI32<FracDst>> for FixedI8<FracSrc>

fn unwrapped_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU16, FracDst: LeEqU32> UnwrappedCast<FixedI32<FracDst>> for FixedI16<FracSrc>

fn unwrapped_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> UnwrappedCast<FixedI32<FracDst>> for FixedI32<FracSrc>

fn unwrapped_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU64, FracDst: LeEqU32> UnwrappedCast<FixedI32<FracDst>> for FixedI64<FracSrc>

fn unwrapped_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU128, FracDst: LeEqU32> UnwrappedCast<FixedI32<FracDst>> for FixedI128<FracSrc>

fn unwrapped_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU8, FracDst: LeEqU32> UnwrappedCast<FixedI32<FracDst>> for FixedU8<FracSrc>

fn unwrapped_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU16, FracDst: LeEqU32> UnwrappedCast<FixedI32<FracDst>> for FixedU16<FracSrc>

fn unwrapped_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> UnwrappedCast<FixedI32<FracDst>> for FixedU32<FracSrc>

fn unwrapped_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU64, FracDst: LeEqU32> UnwrappedCast<FixedI32<FracDst>> for FixedU64<FracSrc>

fn unwrapped_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU128, FracDst: LeEqU32> UnwrappedCast<FixedI32<FracDst>> for FixedU128<FracSrc>

fn unwrapped_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU64> UnwrappedCast<FixedI64<FracDst>> for FixedI32<FracSrc>

fn unwrapped_cast(self) -> FixedI64<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU8> UnwrappedCast<FixedI8<FracDst>> for FixedI32<FracSrc>

fn unwrapped_cast(self) -> FixedI8<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU128> UnwrappedCast<FixedU128<FracDst>> for FixedI32<FracSrc>

fn unwrapped_cast(self) -> FixedU128<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU16> UnwrappedCast<FixedU16<FracDst>> for FixedI32<FracSrc>

fn unwrapped_cast(self) -> FixedU16<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> UnwrappedCast<FixedU32<FracDst>> for FixedI32<FracSrc>

fn unwrapped_cast(self) -> FixedU32<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU64> UnwrappedCast<FixedU64<FracDst>> for FixedI32<FracSrc>

fn unwrapped_cast(self) -> FixedU64<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU8> UnwrappedCast<FixedU8<FracDst>> for FixedI32<FracSrc>

fn unwrapped_cast(self) -> FixedU8<FracDst>

Casts the value.

impl<Frac: LeEqU32> UnwrappedCast<bf16> for FixedI32<Frac>

fn unwrapped_cast(self) -> bf16

Casts the value.

impl<Frac: LeEqU32> UnwrappedCast<f16> for FixedI32<Frac>

fn unwrapped_cast(self) -> f16

Casts the value.

impl<Frac: LeEqU32> UnwrappedCast<f32> for FixedI32<Frac>

fn unwrapped_cast(self) -> f32

Casts the value.

impl<Frac: LeEqU32> UnwrappedCast<f64> for FixedI32<Frac>

fn unwrapped_cast(self) -> f64

Casts the value.

impl<Frac: LeEqU32> UnwrappedCast<i128> for FixedI32<Frac>

fn unwrapped_cast(self) -> i128

Casts the value.

impl<Frac: LeEqU32> UnwrappedCast<i16> for FixedI32<Frac>

fn unwrapped_cast(self) -> i16

Casts the value.

impl<Frac: LeEqU32> UnwrappedCast<i32> for FixedI32<Frac>

fn unwrapped_cast(self) -> i32

Casts the value.

impl<Frac: LeEqU32> UnwrappedCast<i64> for FixedI32<Frac>

fn unwrapped_cast(self) -> i64

Casts the value.

impl<Frac: LeEqU32> UnwrappedCast<i8> for FixedI32<Frac>

fn unwrapped_cast(self) -> i8

Casts the value.

impl<Frac: LeEqU32> UnwrappedCast<isize> for FixedI32<Frac>

fn unwrapped_cast(self) -> isize

Casts the value.

impl<Frac: LeEqU32> UnwrappedCast<u128> for FixedI32<Frac>

fn unwrapped_cast(self) -> u128

Casts the value.

impl<Frac: LeEqU32> UnwrappedCast<u16> for FixedI32<Frac>

fn unwrapped_cast(self) -> u16

Casts the value.

impl<Frac: LeEqU32> UnwrappedCast<u32> for FixedI32<Frac>

fn unwrapped_cast(self) -> u32

Casts the value.

impl<Frac: LeEqU32> UnwrappedCast<u64> for FixedI32<Frac>

fn unwrapped_cast(self) -> u64

Casts the value.

impl<Frac: LeEqU32> UnwrappedCast<u8> for FixedI32<Frac>

fn unwrapped_cast(self) -> u8

Casts the value.

impl<Frac: LeEqU32> UnwrappedCast<usize> for FixedI32<Frac>

fn unwrapped_cast(self) -> usize

Casts the value.

impl<Frac: LeEqU32> UpperHex for FixedI32<Frac>

fn fmt(&self, f: &mut Formatter<'_>) -> FmtResult

Formats the value using the given formatter.

impl<Frac> WrappingAdd for FixedI32<Frac>

fn wrapping_add(&self, v: &Self) -> Self

Wrapping (modular) addition. Computes self + other, wrapping around at the boundary of the type.

impl<Frac: LeEqU32> WrappingCast<F128Bits> for FixedI32<Frac>

fn wrapping_cast(self) -> F128Bits

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU128> WrappingCast<FixedI128<FracDst>> for FixedI32<FracSrc>

fn wrapping_cast(self) -> FixedI128<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU16> WrappingCast<FixedI16<FracDst>> for FixedI32<FracSrc>

fn wrapping_cast(self) -> FixedI16<FracDst>

Casts the value.

impl<Frac: LeEqU32> WrappingCast<FixedI32<Frac>> for F128Bits

fn wrapping_cast(self) -> FixedI32<Frac>

Casts the value.

impl<FracSrc: LeEqU8, FracDst: LeEqU32> WrappingCast<FixedI32<FracDst>> for FixedI8<FracSrc>

fn wrapping_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU16, FracDst: LeEqU32> WrappingCast<FixedI32<FracDst>> for FixedI16<FracSrc>

fn wrapping_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> WrappingCast<FixedI32<FracDst>> for FixedI32<FracSrc>

fn wrapping_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU64, FracDst: LeEqU32> WrappingCast<FixedI32<FracDst>> for FixedI64<FracSrc>

fn wrapping_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU128, FracDst: LeEqU32> WrappingCast<FixedI32<FracDst>> for FixedI128<FracSrc>

fn wrapping_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU8, FracDst: LeEqU32> WrappingCast<FixedI32<FracDst>> for FixedU8<FracSrc>

fn wrapping_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU16, FracDst: LeEqU32> WrappingCast<FixedI32<FracDst>> for FixedU16<FracSrc>

fn wrapping_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> WrappingCast<FixedI32<FracDst>> for FixedU32<FracSrc>

fn wrapping_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU64, FracDst: LeEqU32> WrappingCast<FixedI32<FracDst>> for FixedU64<FracSrc>

fn wrapping_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU128, FracDst: LeEqU32> WrappingCast<FixedI32<FracDst>> for FixedU128<FracSrc>

fn wrapping_cast(self) -> FixedI32<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU64> WrappingCast<FixedI64<FracDst>> for FixedI32<FracSrc>

fn wrapping_cast(self) -> FixedI64<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU8> WrappingCast<FixedI8<FracDst>> for FixedI32<FracSrc>

fn wrapping_cast(self) -> FixedI8<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU128> WrappingCast<FixedU128<FracDst>> for FixedI32<FracSrc>

fn wrapping_cast(self) -> FixedU128<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU16> WrappingCast<FixedU16<FracDst>> for FixedI32<FracSrc>

fn wrapping_cast(self) -> FixedU16<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU32> WrappingCast<FixedU32<FracDst>> for FixedI32<FracSrc>

fn wrapping_cast(self) -> FixedU32<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU64> WrappingCast<FixedU64<FracDst>> for FixedI32<FracSrc>

fn wrapping_cast(self) -> FixedU64<FracDst>

Casts the value.

impl<FracSrc: LeEqU32, FracDst: LeEqU8> WrappingCast<FixedU8<FracDst>> for FixedI32<FracSrc>

fn wrapping_cast(self) -> FixedU8<FracDst>

Casts the value.

impl<Frac: LeEqU32> WrappingCast<bf16> for FixedI32<Frac>

fn wrapping_cast(self) -> bf16

Casts the value.

impl<Frac: LeEqU32> WrappingCast<f16> for FixedI32<Frac>

fn wrapping_cast(self) -> f16

Casts the value.

impl<Frac: LeEqU32> WrappingCast<f32> for FixedI32<Frac>

fn wrapping_cast(self) -> f32

Casts the value.

impl<Frac: LeEqU32> WrappingCast<f64> for FixedI32<Frac>

fn wrapping_cast(self) -> f64

Casts the value.

impl<Frac: LeEqU32> WrappingCast<i128> for FixedI32<Frac>

fn wrapping_cast(self) -> i128

Casts the value.

impl<Frac: LeEqU32> WrappingCast<i16> for FixedI32<Frac>

fn wrapping_cast(self) -> i16

Casts the value.

impl<Frac: LeEqU32> WrappingCast<i32> for FixedI32<Frac>

fn wrapping_cast(self) -> i32

Casts the value.

impl<Frac: LeEqU32> WrappingCast<i64> for FixedI32<Frac>

fn wrapping_cast(self) -> i64

Casts the value.

impl<Frac: LeEqU32> WrappingCast<i8> for FixedI32<Frac>

fn wrapping_cast(self) -> i8

Casts the value.

impl<Frac: LeEqU32> WrappingCast<isize> for FixedI32<Frac>

fn wrapping_cast(self) -> isize

Casts the value.

impl<Frac: LeEqU32> WrappingCast<u128> for FixedI32<Frac>

fn wrapping_cast(self) -> u128

Casts the value.

impl<Frac: LeEqU32> WrappingCast<u16> for FixedI32<Frac>

fn wrapping_cast(self) -> u16

Casts the value.

impl<Frac: LeEqU32> WrappingCast<u32> for FixedI32<Frac>

fn wrapping_cast(self) -> u32

Casts the value.

impl<Frac: LeEqU32> WrappingCast<u64> for FixedI32<Frac>

fn wrapping_cast(self) -> u64

Casts the value.

impl<Frac: LeEqU32> WrappingCast<u8> for FixedI32<Frac>

fn wrapping_cast(self) -> u8

Casts the value.

impl<Frac: LeEqU32> WrappingCast<usize> for FixedI32<Frac>

fn wrapping_cast(self) -> usize

Casts the value.

impl<Frac: LeEqU32> WrappingMul for FixedI32<Frac>

fn wrapping_mul(&self, v: &Self) -> Self

Wrapping (modular) multiplication. Computes self * other, wrapping around at the boundary of the type.

impl<Frac> WrappingNeg for FixedI32<Frac>

fn wrapping_neg(&self) -> Self

Wrapping (modular) negation. Computes -self, wrapping around at the boundary of the type.

impl<Frac> WrappingShl for FixedI32<Frac>

fn wrapping_shl(&self, rhs: u32) -> Self

Panic-free bitwise shift-left; yields self << mask(rhs), where mask removes any high order bits of rhs that would cause the shift to exceed the bitwidth of the type.

impl<Frac> WrappingShr for FixedI32<Frac>

fn wrapping_shr(&self, rhs: u32) -> Self

Panic-free bitwise shift-right; yields self >> mask(rhs), where mask removes any high order bits of rhs that would cause the shift to exceed the bitwidth of the type.

impl<Frac> WrappingSub for FixedI32<Frac>

fn wrapping_sub(&self, v: &Self) -> Self

Wrapping (modular) subtraction. Computes self - other, wrapping around at the boundary of the type.

impl<Frac> Zero for FixedI32<Frac>

fn zero() -> Self

Returns the additive identity element of Self, 0.

fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.

fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.

impl<Frac> Zeroable for FixedI32<Frac>

fn zeroed() -> Self

Calls zeroed.

impl<Frac> Copy for FixedI32<Frac>

impl<Frac: LeEqU32> Eq for FixedI32<Frac>

impl<Frac: LeEqU32> FixedOptionalFeatures for FixedI32<Frac>

impl<Frac: 'static> Pod for FixedI32<Frac>