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Float106

Struct Float106 

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pub struct Float106 { /* private fields */ }
Expand description

A high-precision 106bit floating point number represented as the sum of two f64s.

Precision: ~31 decimal digits (106 bits significand). Range: Same as f64 (approx $10^{\pm 308}$).

§Layout

  • Alignment: 16-byte aligned to enable efficient SIMD loads/stores.
  • Representation: C compatible for FFI and stable layout.

§Invariant

For normalized values: |lo| <= 0.5 * ulp(hi)

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impl Float106

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pub fn is_nan(self) -> bool

Returns true if this value is NaN.

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pub fn is_infinite(self) -> bool

Returns true if this value is infinite.

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pub fn is_finite(self) -> bool

Returns true if this value is finite.

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pub fn is_sign_positive(self) -> bool

Returns true if this value is positive.

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pub fn is_sign_negative(self) -> bool

Returns true if this value is negative.

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impl Float106

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pub const fn hi(self) -> f64

Returns the high-order component.

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pub const fn lo(self) -> f64

Returns the low-order component.

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pub const fn to_f64(self) -> f64

Converts to f64, discarding the low component.

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impl Float106

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pub const PI: Self

π to ~31 decimal digits 3.14159265358979323846264338327950288…

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pub const TWO_PI: Self

2π to ~31 decimal digits

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pub const FRAC_PI_2: Self

π/2 to ~31 decimal digits

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pub const FRAC_PI_4: Self

π/4 to ~31 decimal digits

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pub const E: Self

e (Euler’s number) to ~31 decimal digits 2.71828182845904523536028747135266249…

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pub const LN_2: Self

ln(2) to ~31 decimal digits

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pub const LN_10: Self

ln(10) to ~31 decimal digits

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pub const EPSILON: Self

Machine epsilon for DoubleFloat (~2^-106)

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impl Float106

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pub fn new(hi: f64, lo: f64) -> Self

Creates a new DoubleFloat from high and low components.

The components are normalized so that |lo| <= 0.5 * ulp(hi).

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pub const fn from_f64(x: f64) -> Self

Creates a DoubleFloat from a single f64.

The low component is zero.

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pub const fn from_raw(hi: f64, lo: f64) -> Self

Creates a DoubleFloat from raw components without normalization.

§Safety

Caller must ensure the invariant |lo| <= 0.5 * ulp(hi) holds.

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impl Add<&Float106> for &Float106

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type Output = Float106

The resulting type after applying the + operator.
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fn add(self, rhs: &Float106) -> Self::Output

Performs the + operation. Read more
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impl Add<&Float106> for Float106

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type Output = Float106

The resulting type after applying the + operator.
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fn add(self, rhs: &Float106) -> Self::Output

Performs the + operation. Read more
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impl Add<Float106> for &Float106

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type Output = Float106

The resulting type after applying the + operator.
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fn add(self, rhs: Float106) -> Self::Output

Performs the + operation. Read more
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impl Add<Float106> for f64

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type Output = Float106

The resulting type after applying the + operator.
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fn add(self, rhs: Float106) -> Self::Output

Performs the + operation. Read more
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impl Add<f64> for Float106

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type Output = Float106

The resulting type after applying the + operator.
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fn add(self, rhs: f64) -> Self::Output

Performs the + operation. Read more
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impl Add for Float106

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type Output = Float106

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 AddAssign<f64> for Float106

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fn add_assign(&mut self, rhs: f64)

Performs the += operation. Read more
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impl AddAssign for Float106

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fn add_assign(&mut self, rhs: Self)

Performs the += operation. Read more
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impl Clone for Float106

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fn clone(&self) -> Float106

Returns a duplicate 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 Debug for Float106

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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 Default for Float106

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fn default() -> Float106

Returns the “default value” for a type. Read more
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impl Display for Float106

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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 Div<&Float106> for &Float106

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type Output = Float106

The resulting type after applying the / operator.
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fn div(self, rhs: &Float106) -> Self::Output

Performs the / operation. Read more
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impl Div<&Float106> for Float106

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type Output = Float106

The resulting type after applying the / operator.
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fn div(self, rhs: &Float106) -> Self::Output

Performs the / operation. Read more
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impl Div<Float106> for &Float106

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type Output = Float106

The resulting type after applying the / operator.
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fn div(self, rhs: Float106) -> Self::Output

Performs the / operation. Read more
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impl Div<Float106> for f64

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type Output = Float106

The resulting type after applying the / operator.
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fn div(self, rhs: Float106) -> Self::Output

Performs the / operation. Read more
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impl Div<f64> for Float106

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type Output = Float106

The resulting type after applying the / operator.
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fn div(self, rhs: f64) -> Self::Output

Performs the / operation. Read more
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impl Div for Float106

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type Output = Float106

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 DivAssign<f64> for Float106

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fn div_assign(&mut self, rhs: f64)

Performs the /= operation. Read more
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impl DivAssign for Float106

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fn div_assign(&mut self, rhs: Self)

Performs the /= operation. Read more
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impl DivisionAlgebra<Float106> for Float106

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fn conjugate(&self) -> Self

The conjugate of a real number is itself.

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fn norm_sqr(&self) -> Float106

The squared norm of a DoubleFloat x is x*x.

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fn inverse(&self) -> Self

The inverse of a DoubleFloat x is 1/x.

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impl Float for Float106

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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 epsilon() -> Self

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

Returns true if the number is subnormal. 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 clamp(self, min: Self, max: Self) -> Self

Clamps a value between a min and max. 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 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 From<Float106> for f32

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fn from(x: Float106) -> Self

Converts to this type from the input type.
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impl From<Float106> for f64

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fn from(x: Float106) -> Self

Converts to this type from the input type.
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impl From<f32> for Float106

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fn from(x: f32) -> Self

Converts to this type from the input type.
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impl From<f64> for Float106

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fn from(x: f64) -> Self

Converts to this type from the input type.
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impl From<i32> for Float106

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fn from(x: i32) -> Self

Converts to this type from the input type.
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impl From<i64> for Float106

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fn from(x: i64) -> Self

Converts to this type from the input type.
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impl From<u32> for Float106

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fn from(x: u32) -> Self

Converts to this type from the input type.
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impl From<u64> for Float106

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fn from(x: u64) -> Self

Converts to this type from the input type.
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impl FromPrimitive for Float106

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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.
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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.
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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.
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impl LowerExp for Float106

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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 Mul<&Float106> for &Float106

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type Output = Float106

The resulting type after applying the * operator.
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fn mul(self, rhs: &Float106) -> Self::Output

Performs the * operation. Read more
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impl Mul<&Float106> for Float106

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type Output = Float106

The resulting type after applying the * operator.
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fn mul(self, rhs: &Float106) -> Self::Output

Performs the * operation. Read more
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impl Mul<Float106> for &Float106

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type Output = Float106

The resulting type after applying the * operator.
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fn mul(self, rhs: Float106) -> Self::Output

Performs the * operation. Read more
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impl Mul<Float106> for f64

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type Output = Float106

The resulting type after applying the * operator.
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fn mul(self, rhs: Float106) -> Self::Output

Performs the * operation. Read more
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impl Mul<f64> for Float106

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type Output = Float106

The resulting type after applying the * operator.
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fn mul(self, rhs: f64) -> Self::Output

Performs the * operation. Read more
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impl Mul for Float106

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type Output = Float106

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 MulAssign<f64> for Float106

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fn mul_assign(&mut self, rhs: f64)

Performs the *= operation. Read more
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impl MulAssign for Float106

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fn mul_assign(&mut self, rhs: Self)

Performs the *= operation. Read more
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impl Neg for Float106

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type Output = Float106

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 NumCast for Float106

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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 One for Float106

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fn one() -> Self

Returns the multiplicative identity element of Self, 1. Read more
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fn is_one(&self) -> bool

Returns true if self is equal to the multiplicative identity.
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fn set_one(&mut self)

Sets self to the multiplicative identity element of Self, 1.
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impl PartialEq<Float106> for f64

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fn eq(&self, other: &Float106) -> bool

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl PartialEq<f64> for Float106

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fn eq(&self, other: &f64) -> bool

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl PartialEq for Float106

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

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

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
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impl PartialOrd<Float106> for f64

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fn partial_cmp(&self, other: &Float106) -> 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

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

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

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

Tests greater than or equal to (for self and other) and is used by the >= operator. Read more
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impl PartialOrd<f64> for Float106

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fn partial_cmp(&self, other: &f64) -> 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

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

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

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

Tests greater than or equal to (for self and other) and is used by the >= operator. Read more
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impl PartialOrd for Float106

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fn partial_cmp(&self, other: &Self) -> 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: &Self) -> bool

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

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: &Self) -> bool

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

Tests greater than or equal to (for self and other) and is used by the >= operator. Read more
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impl<'a> Product<&'a Float106> for Float106

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fn product<I: Iterator<Item = &'a Self>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by multiplying the items.
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impl Product for Float106

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fn product<I: Iterator<Item = Self>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by multiplying the items.
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impl RealField for Float106

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fn nan() -> Self

Returns the NaN value.
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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 clamp(self, min: Self, max: Self) -> Self

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fn sqrt(self) -> Self

Computes the principal square root of a number. For negative numbers, it returns NaN. Read more
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fn abs(self) -> Self

Computes the absolute value of a number. 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. Rounds half-way cases away from 0.0. Read more
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fn exp(self) -> Self

Returns e^(self), (the exponential function). 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 powf(self, n: Self) -> Self

Raises a number to a floating point power. 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 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 cos(self) -> Self

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

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

Computes the hyperbolic sine of a number.
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fn cosh(self) -> Self

Computes the hyperbolic cosine of a number.
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fn tanh(self) -> Self

Computes the hyperbolic tangent of a number. 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 pi() -> Self

Returns the constant π.
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fn e() -> Self

Returns the Euler number e, the base of the natural logarithm.
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fn epsilon() -> Self

Machine epsilon. Used for comparison comparisons to zero.
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impl Rem<&Float106> for &Float106

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type Output = Float106

The resulting type after applying the % operator.
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fn rem(self, rhs: &Float106) -> Self::Output

Performs the % operation. Read more
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impl Rem<&Float106> for Float106

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type Output = Float106

The resulting type after applying the % operator.
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fn rem(self, rhs: &Float106) -> Self::Output

Performs the % operation. Read more
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impl Rem<Float106> for &Float106

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type Output = Float106

The resulting type after applying the % operator.
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fn rem(self, rhs: Float106) -> Self::Output

Performs the % operation. Read more
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impl Rem<Float106> for f64

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type Output = Float106

The resulting type after applying the % operator.
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fn rem(self, rhs: Float106) -> Self::Output

Performs the % operation. Read more
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impl Rem<f64> for Float106

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type Output = Float106

The resulting type after applying the % operator.
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fn rem(self, rhs: f64) -> Self::Output

Performs the % operation. Read more
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impl Rem for Float106

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type Output = Float106

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 RemAssign<f64> for Float106

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fn rem_assign(&mut self, rhs: f64)

Performs the %= operation. Read more
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impl RemAssign for Float106

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fn rem_assign(&mut self, rhs: Self)

Performs the %= operation. Read more
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impl Sub<&Float106> for &Float106

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type Output = Float106

The resulting type after applying the - operator.
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fn sub(self, rhs: &Float106) -> Self::Output

Performs the - operation. Read more
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impl Sub<&Float106> for Float106

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type Output = Float106

The resulting type after applying the - operator.
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fn sub(self, rhs: &Float106) -> Self::Output

Performs the - operation. Read more
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impl Sub<Float106> for &Float106

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type Output = Float106

The resulting type after applying the - operator.
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fn sub(self, rhs: Float106) -> Self::Output

Performs the - operation. Read more
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impl Sub<Float106> for f64

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type Output = Float106

The resulting type after applying the - operator.
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fn sub(self, rhs: Float106) -> Self::Output

Performs the - operation. Read more
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impl Sub<f64> for Float106

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type Output = Float106

The resulting type after applying the - operator.
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fn sub(self, rhs: f64) -> Self::Output

Performs the - operation. Read more
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impl Sub for Float106

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type Output = Float106

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 SubAssign<f64> for Float106

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fn sub_assign(&mut self, rhs: f64)

Performs the -= operation. Read more
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impl SubAssign for Float106

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fn sub_assign(&mut self, rhs: Self)

Performs the -= operation. Read more
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impl<'a> Sum<&'a Float106> for Float106

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fn sum<I: Iterator<Item = &'a Self>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by “summing up” the items.
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impl Sum for Float106

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fn sum<I: Iterator<Item = Self>>(iter: I) -> Self

Takes an iterator and generates Self from the elements by “summing up” the items.
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impl ToPrimitive for Float106

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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_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_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_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_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.
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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.
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impl UpperExp for Float106

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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 Zero for Float106

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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 AbelianGroup for Float106

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impl Associative for Float106

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impl Commutative for Float106

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impl Copy for Float106

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impl Distributive for Float106

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impl Num for Float106

Auto Trait Implementations§

Blanket Implementations§

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impl<T, R> Algebra<R> for T
where T: Module<R, Output = T> + Mul + MulAssign + One + Distributive, R: Ring,

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fn sqr(&self) -> Self

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impl<T> Any for T
where 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 T
where 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 T
where 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> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<F> FloatOption<F> for F
where F: Float + Debug + Send + Sync + 'static,

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fn to_option(&self) -> Option<F>

Converts the implementing type into an Option<F>. Read more
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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 T
where 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> InvMonoid for T
where T: MulMonoid + Div<Output = T> + DivAssign + One + Clone,

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fn inverse(&self) -> T

Computes the multiplicative inverse of an element. Read more
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impl<V, R> Module<R> for V
where V: AbelianGroup + Mul<R, Output = V> + MulAssign<R>, R: Ring,

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fn scale(&self, scalar: R) -> Self

Scales the module element by a scalar from the ring R. Read more
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fn scale_mut(&mut self, scalar: R)

Scales the module element in-place by a scalar from the ring R. Read more
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impl<T> ToOwned for T
where 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 T
where T: Display + ?Sized,

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fn to_string(&self) -> String

Converts the given value to a String. Read more
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impl<T, U> TryFrom<U> for T
where 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 T
where 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<T> AddGroup for T
where T: Sub<Output = T> + Add<Output = T> + Zero + Clone,

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impl<T> AddMagma for T
where T: Add<Output = T> + AddAssign + Clone + PartialEq,

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impl<T> AddMonoid for T
where T: Add<Output = T> + AddAssign + Zero + Clone,

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impl<T> AddSemigroup for T
where T: Add<Output = T> + Associative + Clone,

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impl<T, R> AssociativeAlgebra<R> for T
where T: Algebra<R> + Ring, R: Ring,

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impl<T, R> AssociativeDivisionAlgebra<R> for T

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impl<T> AssociativeRing for T
where T: Ring + Associative,

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impl<T> CommutativeRing for T
where T: Ring + Commutative,

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impl<T> DivGroup for T
where T: MulGroup,

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impl<T> Field for T
where T: CommutativeRing + InvMonoid<Output = T> + Div + DivAssign,

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impl<T> Group for T
where T: AddGroup,

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impl<T> MulGroup for T
where T: MulMonoid + InvMonoid<Output = T> + Div + DivAssign,

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impl<T> MulMagma for T
where T: Mul<Output = T> + Clone,

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impl<T> MulMonoid for T
where T: MulMagma + One + Associative,

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impl<T> MulSemigroup for T
where T: Mul<Output = T> + Associative + Clone,

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impl<T> NumAssign for T
where T: Num + NumAssignOps,

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impl<T> NumAssign for T
where T: Num + NumAssignOps,

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impl<T, Rhs> NumAssignOps<Rhs> for T
where T: AddAssign<Rhs> + SubAssign<Rhs> + MulAssign<Rhs> + DivAssign<Rhs> + RemAssign<Rhs>,

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impl<T, Rhs> NumAssignOps<Rhs> for T
where T: AddAssign<Rhs> + SubAssign<Rhs> + MulAssign<Rhs> + DivAssign<Rhs> + RemAssign<Rhs>,

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

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impl<T> NumRef for T
where T: Num + for<'r> NumOps<&'r T>,

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impl<T> NumRef for T
where T: Num + for<'r> NumOps<&'r T>,

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impl<T, Base> RefNum<Base> for T
where T: NumOps<Base, Base> + for<'r> NumOps<&'r Base, Base>,

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impl<T, Base> RefNum<Base> for T
where T: NumOps<Base, Base> + for<'r> NumOps<&'r Base, Base>,

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impl<T> Ring for T