Struct softposit::p16e1::P16E1

pub struct P16E1(_);

Methods

impl P16E1

pub fn mul_add(self, b: Self, c: Self) -> Self

pub fn floor(self) -> Self

pub fn ceil(self) -> Self

pub fn round(self) -> Self

pub fn trunc(self) -> Self

pub fn fract(self) -> Self

pub fn div_euclid(self, rhs: Self) -> Self

pub fn rem_euclid(self, rhs: Self) -> Self

pub fn powi(self, _n: i32) -> Self

pub fn powf(self, _n: Self) -> Self

pub fn sqrt(self) -> Self

pub fn exp(self) -> Self

pub fn exp2(self) -> Self

pub fn ln(self) -> Self

pub fn log(self, _base: Self) -> Self

pub fn log2(self) -> Self

pub fn log10(self) -> Self

pub fn cbrt(self) -> Self

pub fn hypot(self, _other: Self) -> Self

pub fn sin(self) -> Self

pub fn cos(self) -> Self

pub fn tan(self) -> Self

pub fn asin(self) -> Self

pub fn acos(self) -> Self

pub fn atan(self) -> Self

pub fn atan2(self, _other: Self) -> Self

pub fn sin_cos(self) -> (Self, Self)

pub fn exp_m1(self) -> Self

pub fn ln_1p(self) -> Self

pub fn sinh(self) -> Self

pub fn cosh(self) -> Self

pub fn tanh(self) -> Self

pub fn asinh(self) -> Self

pub fn acosh(self) -> Self

pub fn atanh(self) -> Self

impl P16E1

pub const SIZE: usize

pub const ES: usize

pub const EPSILON: Self

Machine epsilon (2.44140625e-4).

pub const MIN: Self

Smallest finite value (-268435456).

pub const MIN_POSITIVE: Self

Smallest positive normal value (3.725290298_e-9).

pub const MAX: Self

Largest finite value (268435456).

pub const NAR: Self

Not a Real (NaR).

pub const NAN: Self

Not a Number (NaN).

pub const INFINITY: Self

Infinity (∞).

pub const ZERO: Self

Zero.

pub const ONE: Self

Identity.

pub const fn new(i: i16) -> Self

pub fn from_bits(v: u16) -> Self

pub fn to_bits(self) -> u16

pub fn abs(self) -> Self

pub fn is_nar(self) -> bool

pub fn is_nan(self) -> bool

pub fn is_infinite(self) -> bool

pub fn is_finite(self) -> bool

pub fn is_normal(self) -> bool

pub fn classify(self) -> FpCategory

pub fn is_sign_positive(self) -> bool

pub fn is_sign_negative(self) -> bool

pub fn copysign(self, other: Self) -> Self

pub fn signum(self) -> Self

pub fn recip(self) -> Self

pub fn to_degrees(self) -> Self

pub fn to_radians(self) -> Self

impl P16E1

pub const SIGN_MASK: u16

pub const REGIME_SIGN_MASK: u16

Trait Implementations

impl Polynom for P16E1

fn poly1(self, c: &[Self]) -> Self

fn poly2(self, c: &[Self]) -> Self

fn poly3(self, c: &[Self]) -> Self

fn poly4(self, c: &[Self]) -> Self

fn poly5(self, c: &[Self]) -> Self

fn poly6(self, c: &[Self]) -> Self

fn poly7(self, c: &[Self]) -> Self

fn poly8(self, c: &[Self]) -> Self

fn poly9(self, c: &[Self]) -> Self

fn poly10(self, c: &[Self]) -> Self

fn poly11(self, c: &[Self]) -> Self

fn poly12(self, c: &[Self]) -> Self

fn poly13(self, c: &[Self]) -> Self

fn poly14(self, c: &[Self]) -> Self

fn poly15(self, c: &[Self]) -> Self

fn poly16(self, c: &[Self]) -> Self

fn poly17(self, c: &[Self]) -> Self

fn poly18(self, c: &[Self]) -> Self

fn poly3a(self, c: &[Self]) -> Self

fn poly4a(self, c: &[Self]) -> Self

impl MathConsts for P16E1

const E: Self

Euler's number (e) = 2.7182818284590452353602874713526625

const FRAC_1_PI: Self

1/π = 0.318309886183790671537767526745028724

const FRAC_1_SQRT_2: Self

const FRAC_2_PI: Self

2/π = 0.636619772367581343075535053490057448

const FRAC_2_SQRT_PI: Self

const FRAC_PI_2: Self

π/2 = 1.57079632679489661923132169163975144

const FRAC_PI_3: Self

π/3 = 1.04719755119659774615421446109316763

const FRAC_PI_4: Self

π/4 = 0.785398163397448309615660845819875721

const FRAC_PI_6: Self

π/6 = 0.52359877559829887307710723054658381

const FRAC_PI_8: Self

π/8 = 0.39269908169872415480783042290993786

const LN_10: Self

ln(10) = 2.30258509299404568401799145468436421

const LN_2: Self

ln(2) = 0.693147180559945309417232121458176568

const LOG10_E: Self

log10(e) = 0.434294481903251827651128918916605082

const LOG2_E: Self

log2(e) = 1.44269504088896340735992468100189214

const PI: Self

Archimedes' constant (π) = 3.14159265358979323846264338327950288

const SQRT_2: Self

sqrt(2) = 1.41421356237309504880168872420969808

const LOG2_10: Self

log2(10) = 3.32192809488736234787031942948939018

const LOG10_2: Self

log10(2) = 0.301029995663981195213738894724493027

impl AssociatedQuire<P16E1> for P16E1

type Q = Q16E1

impl Quire<P16E1> for Q16E1

type Bits = [u64; 2]

fn init() -> Self

fn from_posit(p: P16E1) -> Self

fn to_posit(self) -> P16E1

fn from_bits(v: Self::Bits) -> Self

fn to_bits(&self) -> Self::Bits

fn is_zero(&self) -> bool

fn is_nar(&self) -> bool

fn add_product(&mut self, p_a: P16E1, p_b: P16E1)

fn sub_product(&mut self, p_a: P16E1, p_b: P16E1)

fn clear(&mut self)

fn neg(&mut self)

impl Copy for P16E1

impl Clone for P16E1

fn clone(&self) -> P16E1

Returns a copy of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl From<P16E1> for Q16E1

fn from(a: P16E1) -> Self

Performs the conversion.

impl From<i8> for P16E1

fn from(a: i8) -> Self

Performs the conversion.

impl From<P16E1> for i8

fn from(a: P16E1) -> Self

Performs the conversion.

impl From<i16> for P16E1

fn from(a: i16) -> Self

Performs the conversion.

impl From<P16E1> for i16

fn from(a: P16E1) -> Self

Performs the conversion.

impl From<isize> for P16E1

fn from(a: isize) -> Self

Performs the conversion.

impl From<P16E1> for isize

fn from(a: P16E1) -> Self

Performs the conversion.

impl From<u8> for P16E1

fn from(a: u8) -> Self

Performs the conversion.

impl From<P16E1> for u8

fn from(a: P16E1) -> Self

Performs the conversion.

impl From<u16> for P16E1

fn from(a: u16) -> Self

Performs the conversion.

impl From<P16E1> for u16

fn from(a: P16E1) -> Self

Performs the conversion.

impl From<usize> for P16E1

fn from(a: usize) -> Self

Performs the conversion.

impl From<P16E1> for usize

fn from(a: P16E1) -> Self

Performs the conversion.

impl From<i32> for P16E1

fn from(a: i32) -> Self

Performs the conversion.

impl From<u32> for P16E1

fn from(a: u32) -> Self

Performs the conversion.

impl From<i64> for P16E1

fn from(a: i64) -> Self

Performs the conversion.

impl From<u64> for P16E1

fn from(a: u64) -> Self

Performs the conversion.

impl From<P16E1> for i32

fn from(p_a: P16E1) -> Self

Performs the conversion.

impl From<P16E1> for i64

fn from(p_a: P16E1) -> Self

Performs the conversion.

impl From<P16E1> for u32

fn from(p_a: P16E1) -> Self

Performs the conversion.

impl From<P16E1> for u64

fn from(p_a: P16E1) -> Self

Performs the conversion.

impl From<f32> for P16E1

fn from(float: f32) -> Self

Performs the conversion.

impl From<f64> for P16E1

fn from(float: f64) -> Self

Performs the conversion.

impl From<P16E1> for f32

fn from(a: P16E1) -> Self

Performs the conversion.

impl From<P16E1> for f64

fn from(a: P16E1) -> Self

Performs the conversion.

impl From<Q16E1> for P16E1

fn from(q_a: Q16E1) -> Self

Performs the conversion.

impl From<P8E0> for P16E1

fn from(p_a: P8E0) -> Self

Performs the conversion.

impl From<P16E1> for P8E0

fn from(p_a: P16E1) -> Self

Performs the conversion.

impl From<P16E1> for P32E2

fn from(p_a: P16E1) -> Self

Performs the conversion.

impl From<P32E2> for P16E1

fn from(p_a: P32E2) -> Self

Performs the conversion.

impl Debug for P16E1

fn fmt(&self, f: &mut Formatter) -> Result

Formats the value using the given formatter.

impl Display for P16E1

fn fmt(&self, f: &mut Formatter) -> Result

Formats the value using the given formatter.

impl Rem<P16E1> for P16E1

type Output = Self

The resulting type after applying the % operator.

fn rem(self, _other: Self) -> Self

Performs the % operation.

impl PartialEq<P16E1> for P16E1

fn eq(&self, other: &P16E1) -> bool

This method tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &P16E1) -> bool

This method tests for !=.

impl Eq for P16E1

impl Ord for P16E1

fn cmp(&self, other: &P16E1) -> Ordering

This method returns an Ordering between self and other.

fn max(self, other: Self) -> Self

Compares and returns the maximum of two values.

fn min(self, other: Self) -> Self

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Self

🔬 This is a nightly-only experimental API. (clamp)

Restrict a value to a certain interval.

impl PartialOrd<P16E1> for P16E1

fn partial_cmp(&self, other: &P16E1) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &P16E1) -> bool

This method tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &P16E1) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &P16E1) -> bool

This method tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &P16E1) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator.

impl FromStr for P16E1

type Err = ParseFloatError

The associated error which can be returned from parsing.

fn from_str(src: &str) -> Result<Self, ParseFloatError>

Parses a string s to return a value of this type.

impl Add<P16E1> for P16E1

type Output = Self

The resulting type after applying the + operator.

fn add(self, other: Self) -> Self

Performs the + operation.

impl Sub<P16E1> for P16E1

type Output = Self

The resulting type after applying the - operator.

fn sub(self, other: Self) -> Self

Performs the - operation.

impl Mul<P16E1> for P16E1

type Output = Self

The resulting type after applying the * operator.

fn mul(self, other: Self) -> Self

Performs the * operation.

impl Div<P16E1> for P16E1

type Output = Self

The resulting type after applying the / operator.

fn div(self, other: Self) -> Self

Performs the / operation.

impl Neg for P16E1

type Output = Self

The resulting type after applying the - operator.

fn neg(self) -> Self

Performs the unary - operation.

impl AddAssign<P16E1> for P16E1

fn add_assign(&mut self, other: Self)

Performs the += operation.

impl SubAssign<P16E1> for P16E1

fn sub_assign(&mut self, other: Self)

Performs the -= operation.

impl MulAssign<P16E1> for P16E1

fn mul_assign(&mut self, other: Self)

Performs the *= operation.

impl DivAssign<P16E1> for P16E1

fn div_assign(&mut self, other: Self)

Performs the /= operation.

impl RemAssign<P16E1> for P16E1

fn rem_assign(&mut self, other: Self)

Performs the %= operation.

impl Hash for P16E1

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 Default for P16E1

fn default() -> P16E1

Returns the "default value" for a type.

impl AbsDiffEq<P16E1> for P16E1

type Epsilon = P16E1

Used for specifying relative comparisons.

fn default_epsilon() -> P16E1

The default tolerance to use when testing values that are close together.

fn abs_diff_eq(&self, other: &P16E1, epsilon: P16E1) -> bool

A test for equality that uses the absolute difference to compute the approximate equality of two numbers.

fn abs_diff_ne(&self, other: &Rhs, epsilon: Self::Epsilon) -> bool

The inverse of ApproxEq::abs_diff_eq.

impl RelativeEq<P16E1> for P16E1

fn default_max_relative() -> P16E1

The default relative tolerance for testing values that are far-apart.

fn relative_eq(
    &self,
    other: &P16E1,
    epsilon: P16E1,
    max_relative: P16E1
) -> bool

A test for equality that uses a relative comparison if the values are far apart.

fn relative_ne(
    &self,
    other: &Rhs,
    epsilon: Self::Epsilon,
    max_relative: Self::Epsilon
) -> bool

The inverse of ApproxEq::relative_eq.

impl UlpsEq<P16E1> for P16E1

fn default_max_ulps() -> u32

The default ULPs to tolerate when testing values that are far-apart.

fn ulps_eq(&self, other: &P16E1, epsilon: P16E1, max_ulps: u32) -> bool

A test for equality that uses units in the last place (ULP) if the values are far apart.

fn ulps_ne(&self, other: &Rhs, epsilon: Self::Epsilon, max_ulps: u32) -> bool

The inverse of ApproxEq::ulps_eq.

impl Bounded for P16E1

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 ToPrimitive for P16E1

fn to_i64(&self) -> Option<i64>

Converts the value of self to an i64.

fn to_u64(&self) -> Option<u64>

Converts the value of self to an u64.

fn to_f64(&self) -> Option<f64>

Converts the value of self to an f64.

fn to_isize(&self) -> Option<isize>

Converts the value of self to an isize.

fn to_i8(&self) -> Option<i8>

Converts the value of self to an i8.

fn to_i16(&self) -> Option<i16>

Converts the value of self to an i16.

fn to_i32(&self) -> Option<i32>

Converts the value of self to an i32.

fn to_i128(&self) -> Option<i128>

Converts the value of self to an i128.

fn to_usize(&self) -> Option<usize>

Converts the value of self to a usize.

fn to_u8(&self) -> Option<u8>

Converts the value of self to an u8.

fn to_u16(&self) -> Option<u16>

Converts the value of self to an u16.

fn to_u32(&self) -> Option<u32>

Converts the value of self to an u32.

fn to_u128(&self) -> Option<u128>

Converts the value of self to an u128.

fn to_f32(&self) -> Option<f32>

Converts the value of self to an f32.

impl FromPrimitive for P16E1

fn from_i8(n: i8) -> Option<P16E1>

Convert an i8 to return an optional value of this type. If the type cannot be represented by this value, then None is returned.

fn from_i16(n: i16) -> Option<P16E1>

Convert an i16 to return an optional value of this type. If the type cannot be represented by this value, then None is returned.

fn from_i32(n: i32) -> Option<P16E1>

Convert an i32 to return an optional value of this type. If the type cannot be represented by this value, then None is returned.

fn from_i64(n: i64) -> Option<P16E1>

Convert an i64 to return an optional value of this type. If the type cannot be represented by this value, then None is returned.

fn from_u8(n: u8) -> Option<P16E1>

Convert an u8 to return an optional value of this type. If the type cannot be represented by this value, then None is returned.

fn from_u16(n: u16) -> Option<P16E1>

Convert an u16 to return an optional value of this type. If the type cannot be represented by this value, then None is returned.

fn from_u32(n: u32) -> Option<P16E1>

Convert an u32 to return an optional value of this type. If the type cannot be represented by this value, then None is returned.

fn from_u64(n: u64) -> Option<P16E1>

Convert an u64 to return an optional value of this type. If the type cannot be represented by this value, then None is returned.

fn from_f32(n: f32) -> Option<P16E1>

Convert a f32 to return an optional value of this type. If the type cannot be represented by this value, then None is returned.

fn from_f64(n: f64) -> Option<P16E1>

Convert a f64 to return an optional value of this type. If the type cannot be represented by this value, then None is returned.

fn from_isize(n: isize) -> Option<Self>

Convert an isize to return an optional value of this type. If the value cannot be represented by this value, then None is returned.

fn from_i128(n: i128) -> Option<Self>

Convert an i128 to return an optional value of this type. If the type cannot be represented by this value, then None is returned.

fn from_usize(n: usize) -> Option<Self>

Convert a usize to return an optional value of this type. If the type cannot be represented by this value, then None is returned.

fn from_u128(n: u128) -> Option<Self>

Convert an u128 to return an optional value of this type. If the type cannot be represented by this value, then None is returned.

impl NumCast for P16E1

fn from<N: ToPrimitive>(n: N) -> Option<Self>

Creates a number from another value that can be converted into a primitive via the ToPrimitive trait.

impl Float for P16E1

fn nan() -> Self

Returns the NaN value.

fn infinity() -> Self

Returns the infinite value.

fn neg_infinity() -> Self

Returns the negative infinite value.

fn neg_zero() -> Self

Returns -0.0.

fn min_value() -> Self

Returns the smallest finite value that this type can represent.

fn min_positive_value() -> Self

Returns the smallest positive, normalized value that this type can represent.

fn max_value() -> Self

Returns the largest finite value that this type can represent.

fn is_nan(self) -> bool

Returns true if this value is NaN and false otherwise.

fn is_infinite(self) -> bool

Returns true if this value is positive infinity or negative infinity and false otherwise.

fn is_finite(self) -> bool

Returns true if this number is neither infinite nor NaN.

fn is_normal(self) -> bool

Returns true if the number is neither zero, infinite, [subnormal][subnormal], or NaN.

fn classify(self) -> FpCategory

Returns the floating point category of the number. If only one property is going to be tested, it is generally faster to use the specific predicate instead.

fn floor(self) -> Self

Returns the largest integer less than or equal to a number.

fn ceil(self) -> Self

Returns the smallest integer greater than or equal to a number.

fn round(self) -> Self

Returns the nearest integer to a number. Round half-way cases away from 0.0.

fn trunc(self) -> Self

Return the integer part of a number.

fn fract(self) -> Self

Returns the fractional part of a number.

fn abs(self) -> Self

Computes the absolute value of self. Returns Float::nan() if the number is Float::nan().

fn signum(self) -> Self

Returns a number that represents the sign of self.

fn is_sign_positive(self) -> bool

Returns true if self is positive, including +0.0, Float::infinity(), and since Rust 1.20 also Float::nan().

fn is_sign_negative(self) -> bool

Returns true if self is negative, including -0.0, Float::neg_infinity(), and since Rust 1.20 also -Float::nan().

fn mul_add(self, a: Self, b: Self) -> Self

Fused multiply-add. Computes (self * a) + b with only one rounding error, yielding a more accurate result than an unfused multiply-add.

fn recip(self) -> Self

Take the reciprocal (inverse) of a number, 1/x.

fn powi(self, n: i32) -> Self

Raise a number to an integer power.

fn powf(self, n: Self) -> Self

Raise a number to a floating point power.

fn sqrt(self) -> Self

Take the square root of a number.

fn exp(self) -> Self

Returns e^(self), (the exponential function).

fn exp2(self) -> Self

Returns 2^(self).

fn ln(self) -> Self

Returns the natural logarithm of the number.

fn log(self, base: Self) -> Self

Returns the logarithm of the number with respect to an arbitrary base.

fn log2(self) -> Self

Returns the base 2 logarithm of the number.

fn log10(self) -> Self

Returns the base 10 logarithm of the number.

fn max(self, other: Self) -> Self

Returns the maximum of the two numbers.

fn min(self, other: Self) -> Self

Returns the minimum of the two numbers.

fn abs_sub(self, _other: Self) -> Self

The positive difference of two numbers.

fn cbrt(self) -> Self

Take the cubic root of a number.

fn hypot(self, other: Self) -> Self

Calculate the length of the hypotenuse of a right-angle triangle given legs of length x and y.

fn sin(self) -> Self

Computes the sine of a number (in radians).

fn cos(self) -> Self

Computes the cosine of a number (in radians).

fn tan(self) -> Self

Computes the tangent of a number (in radians).

fn asin(self) -> Self

Computes the arcsine of a number. Return value is in radians in the range [-pi/2, pi/2] or NaN if the number is outside the range [-1, 1].

fn acos(self) -> Self

Computes the arccosine of a number. Return value is in radians in the range [0, pi] or NaN if the number is outside the range [-1, 1].

fn atan(self) -> Self

Computes the arctangent of a number. Return value is in radians in the range [-pi/2, pi/2];

fn atan2(self, other: Self) -> Self

Computes the four quadrant arctangent of self (y) and other (x).

fn sin_cos(self) -> (Self, Self)

Simultaneously computes the sine and cosine of the number, x. Returns (sin(x), cos(x)).

fn exp_m1(self) -> Self

Returns e^(self) - 1 in a way that is accurate even if the number is close to zero.

fn ln_1p(self) -> Self

Returns ln(1+n) (natural logarithm) more accurately than if the operations were performed separately.

fn sinh(self) -> Self

Hyperbolic sine function.

fn cosh(self) -> Self

Hyperbolic cosine function.

fn tanh(self) -> Self

Hyperbolic tangent function.

fn asinh(self) -> Self

Inverse hyperbolic sine function.

fn acosh(self) -> Self

Inverse hyperbolic cosine function.

fn atanh(self) -> Self

Inverse hyperbolic tangent function.

fn integer_decode(self) -> (u64, i16, i8)

Returns the mantissa, base 2 exponent, and sign as integers, respectively. The original number can be recovered by sign * mantissa * 2 ^ exponent.

fn epsilon() -> Self

Returns epsilon, a small positive value.

fn to_degrees(self) -> Self

Converts radians to degrees.

fn to_radians(self) -> Self

Converts degrees to radians.

impl FloatConst for P16E1

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.

fn SQRT_2() -> Self

Return sqrt(2.0).

impl Num for P16E1

type FromStrRadixErr = ParseFloatError

fn from_str_radix(src: &str, radix: u32) -> Result<Self, Self::FromStrRadixErr>

Convert from a string and radix <= 36.

impl Zero for P16E1

fn zero() -> Self

Returns the additive identity element of Self, 0. # Purity

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 One for P16E1

fn one() -> Self

Returns the multiplicative identity element of Self, 1.

fn is_one(&self) -> bool

Returns true if self is equal to the multiplicative identity.

fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.

impl Signed for P16E1

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 AbstractMagma<Additive> for P16E1

fn operate(&self, rhs: &Self) -> Self

Performs an operation.

fn op(&self, O, lhs: &Self) -> Self

Performs specific operation.

impl AbstractMagma<Multiplicative> for P16E1

fn operate(&self, rhs: &Self) -> Self

Performs an operation.

fn op(&self, O, lhs: &Self) -> Self

Performs specific operation.

impl AbstractQuasigroup<Additive> for P16E1

fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
    Self: RelativeEq<Self>, 

Returns true if latin squareness holds for the given arguments. Approximate equality is used for verifications.

fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
    Self: Eq, 

Returns true if latin squareness holds for the given arguments.

impl AbstractQuasigroup<Multiplicative> for P16E1

fn prop_inv_is_latin_square_approx(args: (Self, Self)) -> bool where
    Self: RelativeEq<Self>, 

Returns true if latin squareness holds for the given arguments. Approximate equality is used for verifications.

fn prop_inv_is_latin_square(args: (Self, Self)) -> bool where
    Self: Eq, 

Returns true if latin squareness holds for the given arguments.

impl AbstractSemigroup<Additive> for P16E1

fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
    Self: RelativeEq<Self>, 

Returns true if associativity holds for the given arguments. Approximate equality is used for verifications.

fn prop_is_associative(args: (Self, Self, Self)) -> bool where
    Self: Eq, 

Returns true if associativity holds for the given arguments.

impl AbstractSemigroup<Multiplicative> for P16E1

fn prop_is_associative_approx(args: (Self, Self, Self)) -> bool where
    Self: RelativeEq<Self>, 

Returns true if associativity holds for the given arguments. Approximate equality is used for verifications.

fn prop_is_associative(args: (Self, Self, Self)) -> bool where
    Self: Eq, 

Returns true if associativity holds for the given arguments.

impl AbstractLoop<Additive> for P16E1

impl AbstractLoop<Multiplicative> for P16E1

impl AbstractMonoid<Additive> for P16E1

fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
    Self: RelativeEq<Self>, 

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications.

fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
    Self: Eq, 

Checks whether operating with the identity element is a no-op for the given argument.

impl AbstractMonoid<Multiplicative> for P16E1

fn prop_operating_identity_element_is_noop_approx(args: (Self,)) -> bool where
    Self: RelativeEq<Self>, 

Checks whether operating with the identity element is a no-op for the given argument. Approximate equality is used for verifications.

fn prop_operating_identity_element_is_noop(args: (Self,)) -> bool where
    Self: Eq, 

Checks whether operating with the identity element is a no-op for the given argument.

impl AbstractGroup<Additive> for P16E1

impl AbstractGroup<Multiplicative> for P16E1

impl AbstractGroupAbelian<Additive> for P16E1

fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
    Self: RelativeEq<Self>, 

Returns true if the operator is commutative for the given argument tuple. Approximate equality is used for verifications.

fn prop_is_commutative(args: (Self, Self)) -> bool where
    Self: Eq, 

Returns true if the operator is commutative for the given argument tuple.

impl AbstractGroupAbelian<Multiplicative> for P16E1

fn prop_is_commutative_approx(args: (Self, Self)) -> bool where
    Self: RelativeEq<Self>, 

Returns true if the operator is commutative for the given argument tuple. Approximate equality is used for verifications.

fn prop_is_commutative(args: (Self, Self)) -> bool where
    Self: Eq, 

Returns true if the operator is commutative for the given argument tuple.

impl TwoSidedInverse<Additive> for P16E1

fn two_sided_inverse(&self) -> Self

Returns the two_sided_inverse of self, relative to the operator O.

fn two_sided_inverse_mut(&mut self)

In-place inversion of self, relative to the operator O.

impl TwoSidedInverse<Multiplicative> for P16E1

fn two_sided_inverse(&self) -> Self

Returns the two_sided_inverse of self, relative to the operator O.

fn two_sided_inverse_mut(&mut self)

In-place inversion of self, relative to the operator O.

impl Identity<Additive> for P16E1

fn identity() -> Self

The identity element.

fn id(O) -> Self

Specific identity.

impl Identity<Multiplicative> for P16E1

fn identity() -> Self

The identity element.

fn id(O) -> Self

Specific identity.

impl ComplexField for P16E1

type RealField = P16E1

Type of the coefficients of a complex number.

fn from_real(re: Self::RealField) -> Self

Builds a pure-real complex number from the given value.

fn real(self) -> Self::RealField

The real part of this complex number.

fn imaginary(self) -> Self::RealField

The imaginary part of this complex number.

fn norm1(self) -> Self::RealField

The sum of the absolute value of this complex number's real and imaginary part.

fn modulus(self) -> Self::RealField

The modulus of this complex number.

fn modulus_squared(self) -> Self::RealField

The squared modulus of this complex number.

fn argument(self) -> Self::RealField

The argument of this complex number.

fn to_exp(self) -> (Self, Self)

The exponential form of this complex number: (modulus, e^{i arg})

fn recip(self) -> Self

fn conjugate(self) -> Self

fn scale(self, factor: Self::RealField) -> Self

Multiplies this complex number by factor.

fn unscale(self, factor: Self::RealField) -> Self

Multiplies this complex number by factor.

fn floor(self) -> Self

fn ceil(self) -> Self

fn round(self) -> Self

fn trunc(self) -> Self

fn fract(self) -> Self

fn abs(self) -> Self

The absolute value of this complex number: self / self.signum().

fn signum(self) -> Self

The exponential part of this complex number: self / self.modulus()

fn mul_add(self, a: Self, b: Self) -> Self

fn powi(self, n: i32) -> Self

fn powf(self, n: Self) -> Self

fn powc(self, n: Self) -> Self

fn sqrt(self) -> Self

fn try_sqrt(self) -> Option<Self>

fn exp(self) -> Self

fn exp2(self) -> Self

fn exp_m1(self) -> Self

fn ln_1p(self) -> Self

fn ln(self) -> Self

fn log(self, base: Self) -> Self

fn log2(self) -> Self

fn log10(self) -> Self

fn cbrt(self) -> Self

fn hypot(self, other: Self) -> Self::RealField

Computes (self.conjugate() * self + other.conjugate() * other).sqrt()

fn sin(self) -> Self

fn cos(self) -> Self

fn tan(self) -> Self

fn asin(self) -> Self

fn acos(self) -> Self

fn atan(self) -> Self

fn sin_cos(self) -> (Self, Self)

fn sinh(self) -> Self

fn cosh(self) -> Self

fn tanh(self) -> Self

fn asinh(self) -> Self

fn acosh(self) -> Self

fn atanh(self) -> Self

fn is_finite(&self) -> bool

fn to_polar(self) -> (Self::RealField, Self::RealField)

The polar form of this complex number: (modulus, arg)

fn sinh_cosh(self) -> (Self, Self)

fn sinc(self) -> Self

Cardinal sine

fn sinhc(self) -> Self

fn cosc(self) -> Self

Cardinal cos

fn coshc(self) -> Self

impl MeetSemilattice for P16E1

fn meet(&self, other: &Self) -> Self

Returns the meet (aka. infimum) of two values.

impl JoinSemilattice for P16E1

fn join(&self, other: &Self) -> Self

Returns the join (aka. supremum) of two values.

impl SubsetOf<P16E1> for u8

fn to_superset(&self) -> P16E1

The inclusion map: converts self to the equivalent element of its superset.

unsafe fn from_superset_unchecked(element: &P16E1) -> u8

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

fn is_in_subset(_: &P16E1) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset.

impl SubsetOf<P16E1> for u16

fn to_superset(&self) -> P16E1

The inclusion map: converts self to the equivalent element of its superset.

unsafe fn from_superset_unchecked(element: &P16E1) -> u16

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

fn is_in_subset(_: &P16E1) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset.

impl SubsetOf<P16E1> for u32

fn to_superset(&self) -> P16E1

The inclusion map: converts self to the equivalent element of its superset.

unsafe fn from_superset_unchecked(element: &P16E1) -> u32

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

fn is_in_subset(_: &P16E1) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset.

impl SubsetOf<P16E1> for u64

fn to_superset(&self) -> P16E1

The inclusion map: converts self to the equivalent element of its superset.

unsafe fn from_superset_unchecked(element: &P16E1) -> u64

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

fn is_in_subset(_: &P16E1) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset.

impl SubsetOf<P16E1> for usize

fn to_superset(&self) -> P16E1

The inclusion map: converts self to the equivalent element of its superset.

unsafe fn from_superset_unchecked(element: &P16E1) -> usize

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

fn is_in_subset(_: &P16E1) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset.

impl SubsetOf<P16E1> for i8

fn to_superset(&self) -> P16E1

The inclusion map: converts self to the equivalent element of its superset.

unsafe fn from_superset_unchecked(element: &P16E1) -> i8

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

fn is_in_subset(_: &P16E1) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset.

impl SubsetOf<P16E1> for i16

fn to_superset(&self) -> P16E1

The inclusion map: converts self to the equivalent element of its superset.

unsafe fn from_superset_unchecked(element: &P16E1) -> i16

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

fn is_in_subset(_: &P16E1) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset.

impl SubsetOf<P16E1> for i32

fn to_superset(&self) -> P16E1

The inclusion map: converts self to the equivalent element of its superset.

unsafe fn from_superset_unchecked(element: &P16E1) -> i32

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

fn is_in_subset(_: &P16E1) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset.

impl SubsetOf<P16E1> for i64

fn to_superset(&self) -> P16E1

The inclusion map: converts self to the equivalent element of its superset.

unsafe fn from_superset_unchecked(element: &P16E1) -> i64

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

fn is_in_subset(_: &P16E1) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset.

impl SubsetOf<P16E1> for isize

fn to_superset(&self) -> P16E1

The inclusion map: converts self to the equivalent element of its superset.

unsafe fn from_superset_unchecked(element: &P16E1) -> isize

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

fn is_in_subset(_: &P16E1) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset.

impl SubsetOf<P16E1> for f32

fn to_superset(&self) -> P16E1

The inclusion map: converts self to the equivalent element of its superset.

unsafe fn from_superset_unchecked(element: &P16E1) -> f32

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

fn is_in_subset(_: &P16E1) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset.

impl SubsetOf<P16E1> for f64

fn to_superset(&self) -> P16E1

The inclusion map: converts self to the equivalent element of its superset.

unsafe fn from_superset_unchecked(element: &P16E1) -> f64

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

fn is_in_subset(_: &P16E1) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset.

impl SubsetOf<P16E1> for P8E0

fn to_superset(&self) -> P16E1

The inclusion map: converts self to the equivalent element of its superset.

unsafe fn from_superset_unchecked(element: &P16E1) -> P8E0

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

fn is_in_subset(_: &P16E1) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset.

impl SubsetOf<P8E0> for P16E1

fn to_superset(&self) -> P8E0

The inclusion map: converts self to the equivalent element of its superset.

unsafe fn from_superset_unchecked(element: &P8E0) -> P16E1

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

fn is_in_subset(_: &P8E0) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset.

impl SubsetOf<P16E1> for P16E1

fn to_superset(&self) -> P16E1

The inclusion map: converts self to the equivalent element of its superset.

unsafe fn from_superset_unchecked(element: &P16E1) -> P16E1

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

fn is_in_subset(_: &P16E1) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset.

impl SubsetOf<P32E2> for P16E1

fn to_superset(&self) -> P32E2

The inclusion map: converts self to the equivalent element of its superset.

unsafe fn from_superset_unchecked(element: &P32E2) -> P16E1

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

fn is_in_subset(_: &P32E2) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset.

impl SubsetOf<P16E1> for P32E2

fn to_superset(&self) -> P16E1

The inclusion map: converts self to the equivalent element of its superset.

unsafe fn from_superset_unchecked(element: &P16E1) -> P32E2

Use with care! Same as self.to_superset but without any property checks. Always succeeds.

fn is_in_subset(_: &P16E1) -> bool

Checks if element is actually part of the subset Self (and can be converted to it).

fn from_superset(element: &T) -> Option<Self>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset.

impl RealField for P16E1

fn is_sign_positive(self) -> bool

fn is_sign_negative(self) -> bool

fn max(self, other: Self) -> Self

fn min(self, other: Self) -> Self

fn atan2(self, other: Self) -> Self

fn pi() -> Self

Archimedes' constant.

fn two_pi() -> Self

fn frac_pi_2() -> Self

pi / 2.0.

fn frac_pi_3() -> Self

pi / 3.0.

fn frac_pi_4() -> Self

pi / 4.0.

fn frac_pi_6() -> Self

pi / 6.0.

fn frac_pi_8() -> Self

pi / 8.0.

fn frac_1_pi() -> Self

fn frac_2_pi() -> Self

fn frac_2_sqrt_pi() -> Self

2.0 / sqrt(pi).

fn e() -> Self

Euler's number.

fn log2_e() -> Self

log2(e).

fn log10_e() -> Self

log10(e).

fn ln_2() -> Self

ln(2.0).

fn ln_10() -> Self

ln(10.0).

impl Lattice for P16E1

fn meet_join(&self, other: &Self) -> (Self, Self)

Returns the infimum and the supremum simultaneously.

fn partial_min(&'a self, other: &'a Self) -> Option<&'a Self>

Return the minimum of self and other if they are comparable.

fn partial_max(&'a self, other: &'a Self) -> Option<&'a Self>

Return the maximum of self and other if they are comparable.

fn partial_sort2(&'a self, other: &'a Self) -> Option<(&'a Self, &'a Self)>

Sorts two values in increasing order using a partial ordering.

fn partial_clamp(&'a self, min: &'a Self, max: &'a Self) -> Option<&'a Self>

Clamp value between min and max. Returns None if value is not comparable to min or max.

impl AbstractRingCommutative<Additive, Multiplicative> for P16E1

fn prop_mul_is_commutative_approx(args: (Self, Self)) -> bool where
    Self: RelativeEq<Self>, 

Returns true if the multiplication operator is commutative for the given argument tuple. Approximate equality is used for verifications.

fn prop_mul_is_commutative(args: (Self, Self)) -> bool where
    Self: Eq, 

Returns true if the multiplication operator is commutative for the given argument tuple.

impl AbstractRing<Additive, Multiplicative> for P16E1

fn prop_mul_and_add_are_distributive_approx(args: (Self, Self, Self)) -> bool where
    Self: RelativeEq<Self>, 

Returns true if the multiplication and addition operators are distributive for the given argument tuple. Approximate equality is used for verifications.

fn prop_mul_and_add_are_distributive(args: (Self, Self, Self)) -> bool where
    Self: Eq, 

Returns true if the multiplication and addition operators are distributive for the given argument tuple.

impl AbstractField<Additive, Multiplicative> for P16E1

impl Distribution<P16E1> for Standard

fn sample<R: Rng + ?Sized>(&self, rng: &mut R) -> P16E1

Generate a random value of T, using rng as the source of randomness.

fn sample_iter<R>(&'a self, rng: &'a mut R) -> DistIter<'a, Self, R, T> where
    R: Rng, 

Create an iterator that generates random values of T, using rng as the source of randomness.