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DoubleDouble

Struct DoubleDouble 

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pub(crate) struct DoubleDouble {
    pub(crate) lo: f64,
    pub(crate) hi: f64,
}

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§lo: f64§hi: f64

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impl DoubleDouble

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pub(crate) const fn from_bit_pair(pair: (u64, u64)) -> Self

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

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pub(crate) const fn split(a: f64) -> DoubleDouble

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fn from_exact_mult_impl_non_fma(asz: DoubleDouble, a: f64, b: f64) -> Self

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pub(crate) const fn from_exact_add(a: f64, b: f64) -> DoubleDouble

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pub(crate) const fn from_exact_sub(a: f64, b: f64) -> DoubleDouble

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pub(crate) const fn from_full_exact_add(a: f64, b: f64) -> DoubleDouble

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pub(crate) fn dd_f64_mul_add(a: f64, b: f64, c: f64) -> f64

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pub(crate) const fn from_full_exact_sub(a: f64, b: f64) -> Self

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pub(crate) fn add(a: DoubleDouble, b: DoubleDouble) -> DoubleDouble

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pub(crate) fn quick_dd_add(a: DoubleDouble, b: DoubleDouble) -> DoubleDouble

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pub(crate) fn quick_dd_sub(a: DoubleDouble, b: DoubleDouble) -> DoubleDouble

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pub(crate) fn full_dd_add(a: DoubleDouble, b: DoubleDouble) -> DoubleDouble

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pub(crate) fn full_dd_sub(a: DoubleDouble, b: DoubleDouble) -> DoubleDouble

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pub(crate) fn sub(a: DoubleDouble, b: DoubleDouble) -> DoubleDouble

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pub(crate) fn sqrt(self) -> DoubleDouble

DoubleDouble-style square root for a double-double number

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pub(crate) fn fast_sqrt(self) -> DoubleDouble

DoubleDouble-style square root for a double-double number

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pub(crate) fn mul_add_f64( a: DoubleDouble, b: DoubleDouble, c: f64, ) -> DoubleDouble

a*b+c

Accurate dot product (Ogita, Rump and Oishi 2004)

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pub(crate) fn mul_add_f64_fma( a: DoubleDouble, b: DoubleDouble, c: f64, ) -> DoubleDouble

a*b+c

Accurate dot product (Ogita, Rump and Oishi 2004)

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pub(crate) fn quick_mul_add_f64( a: DoubleDouble, b: DoubleDouble, c: f64, ) -> DoubleDouble

a*b+c

Accurate dot product (Ogita, Rump and Oishi 2004)

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pub(crate) fn mul_f64_add_f64(a: DoubleDouble, b: f64, c: f64) -> DoubleDouble

a*b+c

Accurate dot product (Ogita, Rump and Oishi 2004)

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pub(crate) fn recip(self) -> DoubleDouble

Accurate reciprocal: 1 / self

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pub(crate) fn from_recip(b: f64) -> Self

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pub(crate) fn from_quick_recip_fma(b: f64) -> Self

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pub(crate) fn from_quick_recip(b: f64) -> Self

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pub(crate) fn from_exact_div(a: f64, b: f64) -> Self

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pub(crate) fn from_exact_div_fma(a: f64, b: f64) -> Self

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pub(crate) fn from_sqrt(x: f64) -> Self

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pub(crate) fn div_safe_dd_f64(a: DoubleDouble, b: f64) -> Self

Safe to overflow underflow division using mandatory FMA.

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pub(crate) fn div_dd_f64(a: DoubleDouble, b: f64) -> Self

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pub(crate) fn from_f64_div_dd(a: f64, b: DoubleDouble) -> Self

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pub(crate) fn from_f64_div_dd_fma(a: f64, b: DoubleDouble) -> Self

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pub(crate) fn div_fma(a: DoubleDouble, b: DoubleDouble) -> DoubleDouble

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pub(crate) fn div(a: DoubleDouble, b: DoubleDouble) -> DoubleDouble

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pub(crate) fn from_exact_mult(a: f64, b: f64) -> Self

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pub(crate) fn from_exact_mult_fma(a: f64, b: f64) -> Self

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pub(crate) fn mul_f64_add(a: DoubleDouble, b: f64, c: DoubleDouble) -> Self

Computes a * b + c b is an f64, a and c are DoubleDouble.

Accurate dot product (Ogita, Rump and Oishi 2004)

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pub(crate) fn quick_mul_f64_add( a: DoubleDouble, b: f64, c: DoubleDouble, ) -> Self

Computes a * b + c b is an f64, a and c are DoubleDouble.

Accurate dot product (Ogita, Rump and Oishi 2004)

Correctness |c.hi| > |a.hi * b.hi|

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pub(crate) fn quick_mul_f64_add_f64(a: DoubleDouble, b: f64, c: f64) -> Self

Computes a * b + c

Accurate dot product (Ogita, Rump and Oishi 2004)

Correctness |c.hi| > |a.hi * b.hi|

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pub(crate) fn f64_mul_f64_add(a: f64, b: f64, c: DoubleDouble) -> Self

Computes a * b + c b is an f64, a and c are DoubleDouble.

Accurate dot product (Ogita, Rump and Oishi 2004)

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pub(crate) fn mul_add(a: DoubleDouble, b: DoubleDouble, c: DoubleDouble) -> Self

a*b+c

Accurate dot product (Ogita, Rump and Oishi 2004)

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pub(crate) fn mul_add_fma( a: DoubleDouble, b: DoubleDouble, c: DoubleDouble, ) -> Self

a*b+c

Accurate dot product (Ogita, Rump and Oishi 2004)

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pub(crate) fn quick_mul_add( a: DoubleDouble, b: DoubleDouble, c: DoubleDouble, ) -> Self

a*b+c

Accurate dot product (Ogita, Rump and Oishi 2004)

Correctness |c.hi| > |a.hi * b.hi|

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pub(crate) fn quick_mul_add_fma( a: DoubleDouble, b: DoubleDouble, c: DoubleDouble, ) -> Self

a*b+c

Accurate dot product (Ogita, Rump and Oishi 2004)

Correctness |c.hi| > |a.hi * b.hi|

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pub(crate) fn quick_mult(a: DoubleDouble, b: DoubleDouble) -> Self

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pub(crate) fn quick_mult_fma(a: DoubleDouble, b: DoubleDouble) -> Self

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pub(crate) fn mult(a: DoubleDouble, b: DoubleDouble) -> Self

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pub(crate) fn mult_f64(a: DoubleDouble, b: f64) -> Self

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pub(crate) fn quick_f64_mult(a: f64, b: DoubleDouble) -> DoubleDouble

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pub(crate) fn quick_mult_f64(a: DoubleDouble, b: f64) -> Self

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pub(crate) fn quick_mult_f64_fma(a: DoubleDouble, b: f64) -> Self

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pub(crate) fn add_f64(a: DoubleDouble, b: f64) -> Self

Valid only |a.hi| > |b|

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pub(crate) fn full_add_f64(a: DoubleDouble, b: f64) -> Self

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pub(crate) fn f64_add(b: f64, a: DoubleDouble) -> Self

Valid only |b| > |a.hi|

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pub(crate) const fn to_f64(self) -> f64

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pub(crate) fn from_rsqrt_fast(x: f64) -> DoubleDouble

Trait Implementations§

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impl Clone for DoubleDouble

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fn clone(&self) -> DoubleDouble

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 DoubleDouble

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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 DoubleDouble

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fn default() -> DoubleDouble

Returns the “default value” for a type. Read more
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impl Mul for DoubleDouble

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type Output = DoubleDouble

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

Performs the * operation. Read more
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impl Neg for DoubleDouble

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type Output = DoubleDouble

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 PolyevalMla for DoubleDouble

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fn polyeval_mla(a: Self, b: Self, c: Self) -> Self

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impl Copy for DoubleDouble

Auto Trait Implementations§

Blanket Implementations§

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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<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> 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, 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.