Struct dfdx::dtypes::AMP

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#[repr(transparent)]
pub struct AMP<F>(pub F);
Expand description

Wrapper type around the storage type. Use like AMP<f16> or AMP<bf16>.

This causes some tensor operations to cast the type to a higher precision and then back. For example calling sum on a AMP<f16> tensor will cast it to f32, sum it, and then cast it back to f16.

Tuple Fields§

§0: F

Trait Implementations§

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impl<'l, 'r, F> Add<&'r AMP<F>> for &'l AMP<F>where &'l F: Add<&'r F, Output = F>,

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type Output = AMP<F>

The resulting type after applying the + operator.
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fn add(self, rhs: &'r AMP<F>) -> Self::Output

Performs the + operation. Read more
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impl<F: Add<F, Output = F>> Add<AMP<F>> for AMP<F>

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type Output = AMP<F>

The resulting type after applying the + operator.
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fn add(self, rhs: Self) -> Self::Output

Performs the + operation. Read more
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impl<F: AddAssign<F>> AddAssign<AMP<F>> for AMP<F>

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fn add_assign(&mut self, rhs: Self)

Performs the += operation. Read more
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impl<T: 'static + Copy, F: AsPrimitive<T>> AsPrimitive<T> for AMP<F>

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fn as_(self) -> T

Convert a value to another, using the as operator.
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impl<F: Clone> Clone for AMP<F>

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fn clone(&self) -> AMP<F>

Returns a copy of the value. Read more
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fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl<F: CudaTypeName> CudaTypeName for AMP<F>

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const NAME: &'static str = F::NAME

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impl<F: Debug> Debug for AMP<F>

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

Formats the value using the given formatter. Read more
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impl<F: Default> Default for AMP<F>

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fn default() -> AMP<F>

Returns the “default value” for a type. Read more
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impl<F: DeviceRepr> DeviceRepr for AMP<F>

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impl<F: Display> Display for AMP<F>

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

Formats the value using the given formatter. Read more
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impl<F> Distribution<AMP<F>> for Exp1where Self: Distribution<F>,

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

Generate a random value of T, using rng as the source of randomness.
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fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T>where R: Rng, Self: Sized,

Create an iterator that generates random values of T, using rng as the source of randomness. Read more
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fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S>where F: Fn(T) -> S, Self: Sized,

Create a distribution of values of ‘S’ by mapping the output of Self through the closure F Read more
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impl<F> Distribution<AMP<F>> for Open01where Self: Distribution<F>,

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

Generate a random value of T, using rng as the source of randomness.
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fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T>where R: Rng, Self: Sized,

Create an iterator that generates random values of T, using rng as the source of randomness. Read more
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fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S>where F: Fn(T) -> S, Self: Sized,

Create a distribution of values of ‘S’ by mapping the output of Self through the closure F Read more
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impl<F> Distribution<AMP<F>> for OpenClosed01where Self: Distribution<F>,

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

Generate a random value of T, using rng as the source of randomness.
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fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T>where R: Rng, Self: Sized,

Create an iterator that generates random values of T, using rng as the source of randomness. Read more
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fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S>where F: Fn(T) -> S, Self: Sized,

Create a distribution of values of ‘S’ by mapping the output of Self through the closure F Read more
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impl<F> Distribution<AMP<F>> for Standardwhere Self: Distribution<F>,

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

Generate a random value of T, using rng as the source of randomness.
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fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T>where R: Rng, Self: Sized,

Create an iterator that generates random values of T, using rng as the source of randomness. Read more
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fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S>where F: Fn(T) -> S, Self: Sized,

Create a distribution of values of ‘S’ by mapping the output of Self through the closure F Read more
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impl<F> Distribution<AMP<F>> for StandardNormalwhere Self: Distribution<F>,

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

Generate a random value of T, using rng as the source of randomness.
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fn sample_iter<R>(self, rng: R) -> DistIter<Self, R, T>where R: Rng, Self: Sized,

Create an iterator that generates random values of T, using rng as the source of randomness. Read more
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fn map<F, S>(self, func: F) -> DistMap<Self, F, T, S>where F: Fn(T) -> S, Self: Sized,

Create a distribution of values of ‘S’ by mapping the output of Self through the closure F Read more
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impl<'l, 'r, F> Div<&'r AMP<F>> for &'l AMP<F>where &'l F: Div<&'r F, Output = F>,

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type Output = AMP<F>

The resulting type after applying the / operator.
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fn div(self, rhs: &'r AMP<F>) -> Self::Output

Performs the / operation. Read more
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impl<F: Div<F, Output = F>> Div<AMP<F>> for AMP<F>

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type Output = AMP<F>

The resulting type after applying the / operator.
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fn div(self, rhs: Self) -> Self::Output

Performs the / operation. Read more
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impl<F: DivAssign<F>> DivAssign<AMP<F>> for AMP<F>

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fn div_assign(&mut self, rhs: Self)

Performs the /= operation. Read more
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impl<F: Float> Float for AMP<F>

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fn nan() -> Self

Returns the NaN value. Read more
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fn infinity() -> Self

Returns the infinite value. Read more
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fn neg_infinity() -> Self

Returns the negative infinite value. Read more
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fn neg_zero() -> Self

Returns -0.0. Read more
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fn min_value() -> Self

Returns the smallest finite value that this type can represent. Read more
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fn min_positive_value() -> Self

Returns the smallest positive, normalized value that this type can represent. Read more
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fn max_value() -> Self

Returns the largest finite value that this type can represent. Read more
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fn is_nan(self) -> bool

Returns true if this value is NaN and false otherwise. Read more
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fn is_infinite(self) -> bool

Returns true if this value is positive infinity or negative infinity and false otherwise. Read more
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fn is_finite(self) -> bool

Returns true if this number is neither infinite nor NaN. Read more
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fn is_normal(self) -> bool

Returns true if the number is neither zero, infinite, subnormal, or NaN. Read more
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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. Read more
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fn floor(self) -> Self

Returns the largest integer less than or equal to a number. Read more
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fn ceil(self) -> Self

Returns the smallest integer greater than or equal to a number. Read more
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fn round(self) -> Self

Returns the nearest integer to a number. Round half-way cases away from 0.0. Read more
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fn trunc(self) -> Self

Return the integer part of a number. Read more
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fn fract(self) -> Self

Returns the fractional part of a number. Read more
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fn abs(self) -> Self

Computes the absolute value of self. Returns Float::nan() if the number is Float::nan(). Read more
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fn signum(self) -> Self

Returns a number that represents the sign of self. Read more
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fn is_sign_positive(self) -> bool

Returns true if self is positive, including +0.0, Float::infinity(), and Float::nan(). Read more
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fn is_sign_negative(self) -> bool

Returns true if self is negative, including -0.0, Float::neg_infinity(), and -Float::nan(). Read more
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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. Read more
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fn recip(self) -> Self

Take the reciprocal (inverse) of a number, 1/x. Read more
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fn powi(self, n: i32) -> Self

Raise a number to an integer power. Read more
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fn powf(self, n: Self) -> Self

Raise a number to a floating point power. Read more
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fn sqrt(self) -> Self

Take the square root of a number. Read more
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fn exp(self) -> Self

Returns e^(self), (the exponential function). Read more
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fn exp2(self) -> Self

Returns 2^(self). Read more
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fn ln(self) -> Self

Returns the natural logarithm of the number. Read more
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fn log(self, base: Self) -> Self

Returns the logarithm of the number with respect to an arbitrary base. Read more
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fn log2(self) -> Self

Returns the base 2 logarithm of the number. Read more
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fn log10(self) -> Self

Returns the base 10 logarithm of the number. Read more
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fn max(self, other: Self) -> Self

Returns the maximum of the two numbers. Read more
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fn min(self, other: Self) -> Self

Returns the minimum of the two numbers. Read more
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fn abs_sub(self, other: Self) -> Self

The positive difference of two numbers. Read more
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fn cbrt(self) -> Self

Take the cubic root of a number. Read more
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fn hypot(self, other: Self) -> Self

Calculate the length of the hypotenuse of a right-angle triangle given legs of length x and y. Read more
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fn sin(self) -> Self

Computes the sine of a number (in radians). Read more
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fn cos(self) -> Self

Computes the cosine of a number (in radians). Read more
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fn tan(self) -> Self

Computes the tangent of a number (in radians). Read more
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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]. Read more
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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]. Read more
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fn atan(self) -> Self

Computes the arctangent of a number. Return value is in radians in the range [-pi/2, pi/2]; Read more
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fn atan2(self, other: Self) -> Self

Computes the four quadrant arctangent of self (y) and other (x). Read more
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fn sin_cos(self) -> (Self, Self)

Simultaneously computes the sine and cosine of the number, x. Returns (sin(x), cos(x)). Read more
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fn exp_m1(self) -> Self

Returns e^(self) - 1 in a way that is accurate even if the number is close to zero. Read more
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fn ln_1p(self) -> Self

Returns ln(1+n) (natural logarithm) more accurately than if the operations were performed separately. Read more
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fn sinh(self) -> Self

Hyperbolic sine function. Read more
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fn cosh(self) -> Self

Hyperbolic cosine function. Read more
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fn tanh(self) -> Self

Hyperbolic tangent function. Read more
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fn asinh(self) -> Self

Inverse hyperbolic sine function. Read more
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fn acosh(self) -> Self

Inverse hyperbolic cosine function. Read more
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fn atanh(self) -> Self

Inverse hyperbolic tangent function. Read more
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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. Read more
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fn epsilon() -> Self

Returns epsilon, a small positive value. Read more
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fn is_subnormal(self) -> bool

Returns true if the number is subnormal. Read more
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fn to_degrees(self) -> Self

Converts radians to degrees. Read more
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fn to_radians(self) -> Self

Converts degrees to radians. Read more
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fn copysign(self, sign: Self) -> Self

Returns a number composed of the magnitude of self and the sign of sign. Read more
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impl<F: FloatConst> FloatConst for AMP<F>

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fn E() -> Self

Return Euler’s number.
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fn FRAC_1_PI() -> Self

Return 1.0 / π.
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fn FRAC_1_SQRT_2() -> Self

Return 1.0 / sqrt(2.0).
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fn FRAC_2_PI() -> Self

Return 2.0 / π.
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fn FRAC_2_SQRT_PI() -> Self

Return 2.0 / sqrt(π).
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fn FRAC_PI_2() -> Self

Return π / 2.0.
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fn FRAC_PI_3() -> Self

Return π / 3.0.
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fn FRAC_PI_4() -> Self

Return π / 4.0.
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fn FRAC_PI_6() -> Self

Return π / 6.0.
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fn FRAC_PI_8() -> Self

Return π / 8.0.
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fn LN_10() -> Self

Return ln(10.0).
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fn LN_2() -> Self

Return ln(2.0).
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fn LOG10_E() -> Self

Return log10(e).
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fn LOG2_E() -> Self

Return log2(e).
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fn PI() -> Self

Return Archimedes’ constant π.
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fn SQRT_2() -> Self

Return sqrt(2.0).
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impl<F: FromPrimitive> FromPrimitive for AMP<F>

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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.
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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. Read more
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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.
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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.
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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.
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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.
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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.
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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.
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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. Read more
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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.
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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.
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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.
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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.
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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. Read more
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impl<F: Hash> Hash for AMP<F>

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fn hash<__H: Hasher>(&self, state: &mut __H)

Feeds this value into the given Hasher. Read more
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fn hash_slice<H>(data: &[Self], state: &mut H)where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher. Read more
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impl<'l, 'r, F> Mul<&'r AMP<F>> for &'l AMP<F>where &'l F: Mul<&'r F, Output = F>,

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type Output = AMP<F>

The resulting type after applying the * operator.
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fn mul(self, rhs: &'r AMP<F>) -> Self::Output

Performs the * operation. Read more
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impl<F: Mul<F, Output = F>> Mul<AMP<F>> for AMP<F>

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type Output = AMP<F>

The resulting type after applying the * operator.
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fn mul(self, rhs: Self) -> Self::Output

Performs the * operation. Read more
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impl<F: MulAssign<F>> MulAssign<AMP<F>> for AMP<F>

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fn mul_assign(&mut self, rhs: Self)

Performs the *= operation. Read more
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impl<'l, F> Neg for &'l AMP<F>where &'l F: Neg<Output = F>,

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type Output = AMP<F>

The resulting type after applying the - operator.
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fn neg(self) -> Self::Output

Performs the unary - operation. Read more
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impl<F: Neg<Output = F>> Neg for AMP<F>

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type Output = AMP<F>

The resulting type after applying the - operator.
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fn neg(self) -> Self::Output

Performs the unary - operation. Read more
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impl<F: Num> Num for AMP<F>

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type FromStrRadixErr = <F as Num>::FromStrRadixErr

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

Convert from a string and radix (typically 2..=36). Read more
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impl<F: NumCast> NumCast for AMP<F>

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

Creates a number from another value that can be converted into a primitive via the ToPrimitive trait. If the source value cannot be represented by the target type, then None is returned. Read more
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impl<F: One> One for AMP<F>

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fn one() -> Self

Returns the multiplicative identity element of Self, 1. Read more
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fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.
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impl<F: Ord> Ord for AMP<F>

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fn cmp(&self, other: &AMP<F>) -> Ordering

This method returns an Ordering between self and other. Read more
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fn max(self, other: Self) -> Selfwhere Self: Sized,

Compares and returns the maximum of two values. Read more
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fn min(self, other: Self) -> Selfwhere Self: Sized,

Compares and returns the minimum of two values. Read more
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fn clamp(self, min: Self, max: Self) -> Selfwhere Self: Sized + PartialOrd<Self>,

Restrict a value to a certain interval. Read more
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impl<F: PartialEq> PartialEq<AMP<F>> for AMP<F>

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fn eq(&self, other: &AMP<F>) -> bool

This method tests for self and other values to be equal, and is used by ==.
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fn ne(&self, other: &Rhs) -> bool

This method tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl<F: PartialOrd> PartialOrd<AMP<F>> for AMP<F>

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

This method returns an ordering between self and other values if one exists. Read more
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fn lt(&self, other: &Rhs) -> bool

This method tests less than (for self and other) and is used by the < operator. Read more
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fn le(&self, other: &Rhs) -> bool

This method tests less than or equal to (for self and other) and is used by the <= operator. Read more
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fn gt(&self, other: &Rhs) -> bool

This method tests greater than (for self and other) and is used by the > operator. Read more
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fn ge(&self, other: &Rhs) -> bool

This method tests greater than or equal to (for self and other) and is used by the >= operator. Read more
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impl<'l, 'r, F> Rem<&'r AMP<F>> for &'l AMP<F>where &'l F: Rem<&'r F, Output = F>,

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type Output = AMP<F>

The resulting type after applying the % operator.
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fn rem(self, rhs: &'r AMP<F>) -> Self::Output

Performs the % operation. Read more
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impl<F: Rem<F, Output = F>> Rem<AMP<F>> for AMP<F>

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type Output = AMP<F>

The resulting type after applying the % operator.
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fn rem(self, rhs: Self) -> Self::Output

Performs the % operation. Read more
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impl<F: SampleUniform> SampleUniform for AMP<F>

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type Sampler = AMPSampler<F>

The UniformSampler implementation supporting type X.
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impl<'l, 'r, F> Sub<&'r AMP<F>> for &'l AMP<F>where &'l F: Sub<&'r F, Output = F>,

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type Output = AMP<F>

The resulting type after applying the - operator.
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fn sub(self, rhs: &'r AMP<F>) -> Self::Output

Performs the - operation. Read more
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impl<F: Sub<F, Output = F>> Sub<AMP<F>> for AMP<F>

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type Output = AMP<F>

The resulting type after applying the - operator.
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fn sub(self, rhs: Self) -> Self::Output

Performs the - operation. Read more
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impl<F: SubAssign<F>> SubAssign<AMP<F>> for AMP<F>

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fn sub_assign(&mut self, rhs: Self)

Performs the -= operation. Read more
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impl<F: ToPrimitive> ToPrimitive for AMP<F>

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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.
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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.
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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.
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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. Read more
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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.
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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.
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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.
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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.
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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. Read more
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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.
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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.
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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.
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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.
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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. Read more
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impl<F: Unit> Unit for AMP<F>

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const ONE: Self = _

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impl<F: Zero> Zero for AMP<F>

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fn zero() -> Self

Returns the additive identity element of Self, 0. Read more
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fn is_zero(&self) -> bool

Returns true if self is equal to the additive identity.
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fn set_zero(&mut self)

Sets self to the additive identity element of Self, 0.
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impl<F: Copy> Copy for AMP<F>

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impl<F: Dtype> Dtype for AMP<F>

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impl<F: Eq> Eq for AMP<F>

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impl<F: SafeZeros> SafeZeros for AMP<F>

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impl<F> StructuralEq for AMP<F>

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impl<F> StructuralPartialEq for AMP<F>

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impl<F: ValidAsZeroBits> ValidAsZeroBits for AMP<F>

Auto Trait Implementations§

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impl<F> RefUnwindSafe for AMP<F>where F: RefUnwindSafe,

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impl<F> Send for AMP<F>where F: Send,

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impl<F> Sync for AMP<F>where F: Sync,

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impl<F> Unpin for AMP<F>where F: Unpin,

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impl<F> UnwindSafe for AMP<F>where F: UnwindSafe,

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impl<T> Any for Twhere T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for Twhere T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for Twhere T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> ComplexFloat for Twhere T: Float + FloatConst,

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type Real = T

The type used to represent the real coefficients of this complex number.
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fn re(self) -> <T as ComplexFloat>::Real

Returns the real part of the number.
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fn im(self) -> <T as ComplexFloat>::Real

Returns the imaginary part of the number.
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fn l1_norm(&self) -> <T as ComplexFloat>::Real

Returns the L1 norm |re| + |im| – the Manhattan distance from the origin.
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fn arg(self) -> <T as ComplexFloat>::Real

Computes the argument of the number.
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fn powc( self, exp: Complex<<T as ComplexFloat>::Real> ) -> Complex<<T as ComplexFloat>::Real>

Raises self to a complex power.
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fn conj(self) -> T

Computes the complex conjugate of the number. Read more
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fn expf(self, base: <T as ComplexFloat>::Real) -> T

Returns base^(self).
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fn is_normal(self) -> bool

Returns true if the number is neither zero, infinite, subnormal, or NaN.
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fn is_infinite(self) -> bool

Returns true if this value is positive infinity or negative infinity and false otherwise.
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fn is_finite(self) -> bool

Returns true if this number is neither infinite nor NaN.
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fn is_nan(self) -> bool

Returns true if this value is NaN and false otherwise.
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fn recip(self) -> T

Take the reciprocal (inverse) of a number, 1/x. See also Complex::finv.
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fn powi(self, n: i32) -> T

Raises self to a signed integer power.
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fn powf(self, f: T) -> T

Raises self to a real power.
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fn sqrt(self) -> T

Take the square root of a number.
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fn cbrt(self) -> T

Take the cubic root of a number.
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fn exp(self) -> T

Returns e^(self), (the exponential function).
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fn exp2(self) -> T

Returns 2^(self).
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fn ln(self) -> T

Returns the natural logarithm of the number.
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fn log(self, base: T) -> T

Returns the logarithm of the number with respect to an arbitrary base.
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fn log2(self) -> T

Returns the base 2 logarithm of the number.
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fn log10(self) -> T

Returns the base 10 logarithm of the number.
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fn sin(self) -> T

Computes the sine of a number (in radians).
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fn cos(self) -> T

Computes the cosine of a number (in radians).
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fn tan(self) -> T

Computes the tangent of a number (in radians).
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fn asin(self) -> T

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].
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fn acos(self) -> T

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].
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fn atan(self) -> T

Computes the arctangent of a number. Return value is in radians in the range [-pi/2, pi/2];
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fn sinh(self) -> T

Hyperbolic sine function.
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fn cosh(self) -> T

Hyperbolic cosine function.
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fn tanh(self) -> T

Hyperbolic tangent function.
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fn asinh(self) -> T

Inverse hyperbolic sine function.
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fn acosh(self) -> T

Inverse hyperbolic cosine function.
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fn atanh(self) -> T

Inverse hyperbolic tangent function.
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fn abs(self) -> T

Returns the absolute value of the number. See also Complex::norm
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for Twhere U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> Pointable for T

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const ALIGN: usize = mem::align_of::<T>()

The alignment of pointer.
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type Init = T

The type for initializers.
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unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
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unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
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unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
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unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
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impl<T> Real for Twhere T: Float,

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fn min_value() -> T

Returns the smallest finite value that this type can represent. Read more
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fn min_positive_value() -> T

Returns the smallest positive, normalized value that this type can represent. Read more
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fn epsilon() -> T

Returns epsilon, a small positive value. Read more
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fn max_value() -> T

Returns the largest finite value that this type can represent. Read more
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fn floor(self) -> T

Returns the largest integer less than or equal to a number. Read more
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fn ceil(self) -> T

Returns the smallest integer greater than or equal to a number. Read more
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fn round(self) -> T

Returns the nearest integer to a number. Round half-way cases away from 0.0. Read more
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fn trunc(self) -> T

Return the integer part of a number. Read more
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fn fract(self) -> T

Returns the fractional part of a number. Read more
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fn abs(self) -> T

Computes the absolute value of self. Returns Float::nan() if the number is Float::nan(). Read more
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fn signum(self) -> T

Returns a number that represents the sign of self. Read more
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fn is_sign_positive(self) -> bool

Returns true if self is positive, including +0.0, Float::infinity(), and with newer versions of Rust f64::NAN. Read more
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fn is_sign_negative(self) -> bool

Returns true if self is negative, including -0.0, Float::neg_infinity(), and with newer versions of Rust -f64::NAN. Read more
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fn mul_add(self, a: T, b: T) -> T

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

Take the reciprocal (inverse) of a number, 1/x. Read more
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fn powi(self, n: i32) -> T

Raise a number to an integer power. Read more
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fn powf(self, n: T) -> T

Raise a number to a real number power. Read more
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fn sqrt(self) -> T

Take the square root of a number. Read more
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fn exp(self) -> T

Returns e^(self), (the exponential function). Read more
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fn exp2(self) -> T

Returns 2^(self). Read more
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fn ln(self) -> T

Returns the natural logarithm of the number. Read more
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fn log(self, base: T) -> T

Returns the logarithm of the number with respect to an arbitrary base. Read more
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fn log2(self) -> T

Returns the base 2 logarithm of the number. Read more
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fn log10(self) -> T

Returns the base 10 logarithm of the number. Read more
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fn to_degrees(self) -> T

Converts radians to degrees. Read more
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fn to_radians(self) -> T

Converts degrees to radians. Read more
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fn max(self, other: T) -> T

Returns the maximum of the two numbers. Read more
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fn min(self, other: T) -> T

Returns the minimum of the two numbers. Read more
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fn abs_sub(self, other: T) -> T

The positive difference of two numbers. Read more
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fn cbrt(self) -> T

Take the cubic root of a number. Read more
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fn hypot(self, other: T) -> T

Calculate the length of the hypotenuse of a right-angle triangle given legs of length x and y. Read more
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fn sin(self) -> T

Computes the sine of a number (in radians). Read more
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fn cos(self) -> T

Computes the cosine of a number (in radians). Read more
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fn tan(self) -> T

Computes the tangent of a number (in radians). Read more
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fn asin(self) -> T

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]. Read more
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fn acos(self) -> T

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]. Read more
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fn atan(self) -> T

Computes the arctangent of a number. Return value is in radians in the range [-pi/2, pi/2]; Read more
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fn atan2(self, other: T) -> T

Computes the four quadrant arctangent of self (y) and other (x). Read more
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fn sin_cos(self) -> (T, T)

Simultaneously computes the sine and cosine of the number, x. Returns (sin(x), cos(x)). Read more
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fn exp_m1(self) -> T

Returns e^(self) - 1 in a way that is accurate even if the number is close to zero. Read more
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fn ln_1p(self) -> T

Returns ln(1+n) (natural logarithm) more accurately than if the operations were performed separately. Read more
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fn sinh(self) -> T

Hyperbolic sine function. Read more
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fn cosh(self) -> T

Hyperbolic cosine function. Read more
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fn tanh(self) -> T

Hyperbolic tangent function. Read more
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fn asinh(self) -> T

Inverse hyperbolic sine function. Read more
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fn acosh(self) -> T

Inverse hyperbolic cosine function. Read more
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fn atanh(self) -> T

Inverse hyperbolic tangent function. Read more
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impl<Borrowed> SampleBorrow<Borrowed> for Borrowedwhere Borrowed: SampleUniform,

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fn borrow(&self) -> &Borrowed

Immutably borrows from an owned value. See Borrow::borrow
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impl<T> ToOwned for Twhere T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T> ToString for Twhere T: Display + ?Sized,

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default fn to_string(&self) -> String

Converts the given value to a String. Read more
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impl<T, U> TryFrom<U> for Twhere U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for Twhere U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
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impl<V, T> VZip<V> for Twhere V: MultiLane<T>,

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fn vzip(self) -> V

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impl<T, Rhs, Output> NumOps<Rhs, Output> for Twhere T: Sub<Rhs, Output = Output> + Mul<Rhs, Output = Output> + Div<Rhs, Output = Output> + Add<Rhs, Output = Output> + Rem<Rhs, Output = Output>,