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use crate::{False, IsFloat, IsInteger, IsNonZero, Number, True};
use core::fmt::{Binary, LowerHex};
use core::ops::{
BitAnd, BitAndAssign, BitOr, BitOrAssign, BitXor, BitXorAssign, Not, Shl, ShlAssign, Shr,
ShrAssign,
};
/// A trait for operations that are shared by signed and unsigned integers.
pub trait Integer:
Number
+ IsInteger<Integer = True>
+ IsFloat<Float = False>
+ IsNonZero<NonZero = False>
+ LowerHex
+ Ord
+ Eq
+ Binary
+ BitAnd<Output = Self>
+ BitAndAssign
+ BitOr<Output = Self>
+ BitOrAssign
+ BitXor<Output = Self>
+ BitXorAssign
+ Not<Output = Self>
+ Shl<Output = Self>
+ ShlAssign
+ Shr<Output = Self>
+ ShrAssign
+ Shl<u8, Output = Self>
+ ShlAssign<u8>
+ Shr<u8, Output = Self>
+ ShrAssign<u8>
+ Shl<u16, Output = Self>
+ ShlAssign<u16>
+ Shr<u16, Output = Self>
+ ShrAssign<u16>
+ Shl<u32, Output = Self>
+ ShlAssign<u32>
+ Shr<u32, Output = Self>
+ ShrAssign<u32>
+ Shl<u64, Output = Self>
+ ShlAssign<u64>
+ Shr<u64, Output = Self>
+ ShrAssign<u64>
+ Shl<u128, Output = Self>
+ ShlAssign<u128>
+ Shr<u128, Output = Self>
+ ShrAssign<u128>
+ Shl<usize, Output = Self>
+ ShlAssign<usize>
+ Shr<usize, Output = Self>
+ ShrAssign<usize>
+ Shl<i8, Output = Self>
+ ShlAssign<i8>
+ Shr<i8, Output = Self>
+ ShrAssign<i8>
+ Shl<i16, Output = Self>
+ ShlAssign<i16>
+ Shr<i16, Output = Self>
+ ShrAssign<i16>
+ Shl<i32, Output = Self>
+ ShlAssign<i32>
+ Shr<i32, Output = Self>
+ ShrAssign<i32>
+ Shl<i64, Output = Self>
+ ShlAssign<i64>
+ Shr<i64, Output = Self>
+ ShrAssign<i64>
+ Shl<i128, Output = Self>
+ ShlAssign<i128>
+ Shr<i128, Output = Self>
+ ShrAssign<i128>
+ Shl<isize, Output = Self>
+ ShlAssign<isize>
+ Shr<isize, Output = Self>
+ ShrAssign<isize>
{
/// Get the i-th bit in the UnsignedInt. Valid values: [0, Self::BITS)
fn extract_bit(&self, bit: usize) -> bool;
/// Get the bits in range [START; END_BIT) in the UnsignedInt.
/// START valid values: [0, Self::BITS)
/// END valid values: [1, Self::BITS]
/// START < END!!!
fn extract_bitfield(&self, start_bit: usize, end_bit: usize) -> Self;
/// Computes the absolute difference between self and other.
fn abs_diff(self, rhs: Self) -> Self;
/// Performs Euclidean division.
/// Since, for the positive integers, all common definitions of division are
/// equal, this is exactly equal to self / rhs.
fn div_euclid(self, rhs: Self) -> Self;
/// Calculates the least remainder of self (mod rhs).
/// Since, for the positive integers, all common definitions of division are
/// equal, this is exactly equal to self % rhs.
fn rem_euclid(self, rhs: Self) -> Self;
/// Converts an integer from big endian to the target’s endianness.
/// On big endian this is a no-op. On little endian the bytes are swapped.
fn from_be(rhs: Self) -> Self;
/// Converts an integer from little endian to the target’s endianness.
/// On little endian this is a no-op. On big endian the bytes are swapped.
fn from_le(rhs: Self) -> Self;
/// Converts self to big endian from the target’s endianness.
/// On big endian this is a no-op. On little endian the bytes are swapped.
fn to_be(self) -> Self;
/// Converts self to little endian from the target’s endianness.
/// On little endian this is a no-op. On big endian the bytes are swapped.
fn to_le(self) -> Self;
/// Reverse the byte order of the integer
fn swap_bytes(self) -> Self;
/// Checked integer addition. Computes self + rhs, returning None if
/// overflow occurred.
fn checked_add(self, rhs: Self) -> Option<Self>;
/// Checked integer division. Computes self / rhs, returning None
/// if rhs == 0.
fn checked_div(self, rhs: Self) -> Option<Self>;
/// Checked Euclidean division. Computes self.div_euclid(rhs), returning
/// None if rhs == 0.
fn checked_div_euclid(self, rhs: Self) -> Option<Self>;
/// Checked integer multiplication. Computes self * rhs, returning None if
/// overflow occurred.
fn checked_mul(self, rhs: Self) -> Option<Self>;
/// Checked negation. Computes -self, returning None unless self == 0.
/// Note that negating any positive integer will overflow.
fn checked_neg(self) -> Option<Self>;
/// Checked exponentiation. Computes self.pow(exp), returning None if
/// overflow occurred.
fn checked_pow(self, exp: u32) -> Option<Self>;
/// Checked integer remainder. Computes self % rhs, returning None
/// if rhs == 0.
fn checked_rem(self, rhs: Self) -> Option<Self>;
/// Checked Euclidean modulo. Computes self.rem_euclid(rhs), returning None
/// if rhs == 0.
fn checked_rem_euclid(self, rhs: Self) -> Option<Self>;
/// Checked shift left. Computes self << rhs, returning None if rhs is
/// larger than or equal to the Integer of bits in self.
fn checked_shl(self, rhs: u32) -> Option<Self>;
/// Checked shift right. Computes self >> rhs, returning None if rhs is
/// larger than or equal to the Integer of bits in self.
fn checked_shr(self, rhs: u32) -> Option<Self>;
/// Checked integer subtraction. Computes self - rhs, returning None if
/// overflow occurred.
fn checked_sub(self, rhs: Self) -> Option<Self>;
/// Returns the Integer of ones in the binary representation of self.
fn count_ones(self) -> u32;
/// Returns the Integer of zeros in the binary representation of self.
fn count_zeros(self) -> u32;
/// Returns the Integer of leading ones in the binary representation of self.
fn leading_ones(self) -> u32;
/// Returns the Integer of trailing zeros in the binary representation of self.
fn leading_zeros(self) -> u32;
/// Reverses the order of bits in the integer. The least significant bit
/// becomes the most significant bit, second least-significant bit becomes
/// second most-significant bit, etc.
fn reverse_bits(self) -> Self;
/// Shifts the bits to the left by a specified amount, n, wrapping the t
/// runcated bits to the end of the resulting integer.
/// Please note this isn’t the same operation as the << shifting operator!
fn rotate_left(self, exp: u32) -> Self;
/// Shifts the bits to the right by a specified amount, n, wrapping the
/// truncated bits to the beginning of the resulting integer.
/// Please note this isn’t the same operation as the >> shifting operator!
fn rotate_right(self, exp: u32) -> Self;
/// Returns the Integer of trailing ones in the binary representation of self.
fn trailing_ones(self) -> u32;
/// Returns the Integer of trailing zeros in the binary representation of self.
fn trailing_zeros(self) -> u32;
/// Logical shift left `self` by `rhs`, returing the result.
/// Overshifting by larget rhan [`AsBytes::BITS`](`crate::AsBytes::BITS`) will result in zero.
fn overflow_shl(self, rhs: Self) -> Self;
/// Logical shift right `self` by `rhs`, returing the result.
/// Overshifting by larget rhan [`AsBytes::BITS`](`crate::AsBytes::BITS`) will result in zero.
fn overflow_shr(self, rhs: Self) -> Self;
/// Add `self` and `rhs`, returning the result using wrapping arithmetic
fn wrapping_add(self, rhs: Self) -> Self;
/// Wrapping (modular) division. Computes self / rhs. Wrapped division on
/// unsigned types is just normal division. There’s no way wrapping could
/// ever happen. This function exists, so that all operations are accounted
/// for in the wrapping operations.
fn wrapping_div(self, rhs: Self) -> Self;
/// Wrapping Euclidean division. Computes self.div_euclid(rhs). Wrapped
/// division on unsigned types is just normal division. There’s no way
/// wrapping could ever happen. This function exists, so that all operations
/// are accounted for in the wrapping operations. Since, for the positive
/// integers, all common definitions of division are equal, this is exactly
/// equal to self.wrapping_div(rhs).
fn wrapping_div_euclid(self, rhs: Self) -> Self;
/// Wrapping (modular) multiplication. Computes self * rhs, wrapping around
/// at the boundary of the type.
fn wrapping_mul(self, rhs: Self) -> Self;
/// Wrapping (modular) negation. Computes -self, wrapping around at the
/// boundary of the type.
/// Since unsigned types do not have negative equivalents all applications
/// of this function will wrap (except for -0). For values smaller than the
/// corresponding signed type’s maximum the result is the same as casting
/// the corresponding signed value. Any larger values are equivalent to
/// MAX + 1 - (val - MAX - 1) where MAX is the corresponding signed type’s
/// maximum.
fn wrapping_neg(self) -> Self;
/// Wrapping (modular) exponentiation. Computes self.pow(exp), wrapping
/// around at the boundary of the type.
fn wrapping_pow(self, exp: u32) -> Self;
/// Wrapping (modular) remainder. Computes self % rhs. Wrapped remainder
/// calculation on unsigned types is just the regular remainder calculation.
/// There’s no way wrapping could ever happen. This function exists, so
/// that all operations are accounted for in the wrapping operations.
fn wrapping_rem(self, rhs: Self) -> Self;
/// Wrapping Euclidean modulo. Computes self.rem_euclid(rhs). Wrapped modulo
/// calculation on unsigned types is just the regular remainder calculation.
/// There’s no way wrapping could ever happen. This function exists, so that
/// all operations are accounted for in the wrapping operations. Since, for
/// the positive integers, all common definitions of division are equal,
/// this is exactly equal to self.wrapping_rem(rhs).
fn wrapping_rem_euclid(self, rhs: Self) -> 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.
/// Note that this is not the same as a rotate-left; the RHS of a wrapping
/// shift-left is restricted to the range of the type, rather than the bits
/// shifted out of the LHS being returned to the other end. The primitive
/// integer types all implement a rotate_left function, which may be what
/// you want instead.
fn wrapping_shl(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.
/// Note that this is not the same as a rotate-right; the RHS of a wrapping
/// shift-right is restricted to the range of the type, rather than the bits
/// shifted out of the LHS being returned to the other end. The primitive
/// integer types all implement a rotate_right function, which may be what
/// you want instead.
fn wrapping_shr(self, rhs: u32) -> Self;
/// Subtract `self` and `rhs`, returning the result using wrapping
/// arithmetic
fn wrapping_sub(self, rhs: Self) -> Self;
}