Data.Massiv.Core.Operations

Documentation

class (Size r, Num e) => FoldNumeric r e where

Minimal complete definition

foldArray, powerSumArray, unsafeDotProduct

Methods

sumArray :: Index ix => Array r ix e -> e

Compute sum of all elements in the array

Since: 0.5.6

productArray :: Index ix => Array r ix e -> e

Compute product of all elements in the array

Since: 0.5.6

powerSumArray :: Index ix => Array r ix e -> Int -> e

Raise each element in the array to some non-negative power and sum the results

Since: 0.5.7

unsafeDotProduct :: Index ix => Array r ix e -> Array r ix e -> e

Compute dot product without any extraneous checks

Since: 0.5.6

foldArray :: Index ix => (e -> e -> e) -> e -> Array r ix e -> e

Fold over an array

Since: 0.5.6

Instances

Num e => FoldNumeric D e

Defined in Data.Massiv.Array.Delayed.Pull

Methods

sumArray :: Index ix => Array D ix e -> e

productArray :: Index ix => Array D ix e -> e

powerSumArray :: Index ix => Array D ix e -> Int -> e

unsafeDotProduct :: Index ix => Array D ix e -> Array D ix e -> e

foldArray :: Index ix => (e -> e -> e) -> e -> Array D ix e -> e

Num e => FoldNumeric B e

Defined in Data.Massiv.Array.Manifest.Boxed

Methods

sumArray :: Index ix => Array B ix e -> e

productArray :: Index ix => Array B ix e -> e

powerSumArray :: Index ix => Array B ix e -> Int -> e

unsafeDotProduct :: Index ix => Array B ix e -> Array B ix e -> e

foldArray :: Index ix => (e -> e -> e) -> e -> Array B ix e -> e

Num e => FoldNumeric BL e

Defined in Data.Massiv.Array.Manifest.Boxed

Methods

sumArray :: Index ix => Array BL ix e -> e

productArray :: Index ix => Array BL ix e -> e

powerSumArray :: Index ix => Array BL ix e -> Int -> e

unsafeDotProduct :: Index ix => Array BL ix e -> Array BL ix e -> e

foldArray :: Index ix => (e -> e -> e) -> e -> Array BL ix e -> e

(NFData e, Num e) => FoldNumeric BN e

Defined in Data.Massiv.Array.Manifest.Boxed

Methods

sumArray :: Index ix => Array BN ix e -> e

productArray :: Index ix => Array BN ix e -> e

powerSumArray :: Index ix => Array BN ix e -> Int -> e

unsafeDotProduct :: Index ix => Array BN ix e -> Array BN ix e -> e

foldArray :: Index ix => (e -> e -> e) -> e -> Array BN ix e -> e

(Prim e, Num e) => FoldNumeric P e

Defined in Data.Massiv.Array.Manifest.Primitive

Methods

sumArray :: Index ix => Array P ix e -> e

productArray :: Index ix => Array P ix e -> e

powerSumArray :: Index ix => Array P ix e -> Int -> e

unsafeDotProduct :: Index ix => Array P ix e -> Array P ix e -> e

foldArray :: Index ix => (e -> e -> e) -> e -> Array P ix e -> e

(Storable e, Num e) => FoldNumeric S e

Defined in Data.Massiv.Array.Manifest.Storable

Methods

sumArray :: Index ix => Array S ix e -> e

productArray :: Index ix => Array S ix e -> e

powerSumArray :: Index ix => Array S ix e -> Int -> e

unsafeDotProduct :: Index ix => Array S ix e -> Array S ix e -> e

foldArray :: Index ix => (e -> e -> e) -> e -> Array S ix e -> e

(Unbox e, Num e) => FoldNumeric U e

Defined in Data.Massiv.Array.Manifest.Unboxed

Methods

sumArray :: Index ix => Array U ix e -> e

productArray :: Index ix => Array U ix e -> e

powerSumArray :: Index ix => Array U ix e -> Int -> e

unsafeDotProduct :: Index ix => Array U ix e -> Array U ix e -> e

foldArray :: Index ix => (e -> e -> e) -> e -> Array U ix e -> e

defaultPowerSumArray :: (Index ix, Source r e, Num e) => Array r ix e -> Int -> e

defaultUnsafeDotProduct :: (Num e, Index ix, Source r e) => Array r ix e -> Array r ix e -> e

defaultFoldArray :: (Index ix, Source r e) => (e -> e -> e) -> e -> Array r ix e -> e

class FoldNumeric r e => Numeric r e where

Minimal complete definition

unsafeLiftArray, unsafeLiftArray2

Methods

plusScalar :: Index ix => Array r ix e -> e -> Array r ix e

minusScalar :: Index ix => Array r ix e -> e -> Array r ix e

scalarMinus :: Index ix => e -> Array r ix e -> Array r ix e

multiplyScalar :: Index ix => Array r ix e -> e -> Array r ix e

absPointwise :: Index ix => Array r ix e -> Array r ix e

additionPointwise :: Index ix => Array r ix e -> Array r ix e -> Array r ix e

subtractionPointwise :: Index ix => Array r ix e -> Array r ix e -> Array r ix e

multiplicationPointwise :: Index ix => Array r ix e -> Array r ix e -> Array r ix e

powerPointwise :: Index ix => Array r ix e -> Int -> Array r ix e

Raise each element of the array to the power

unsafeLiftArray :: Index ix => (e -> e) -> Array r ix e -> Array r ix e

unsafeLiftArray2 :: Index ix => (e -> e -> e) -> Array r ix e -> Array r ix e -> Array r ix e

Instances

Num e => Numeric D e

Defined in Data.Massiv.Array.Delayed.Pull

Methods

plusScalar :: Index ix => Array D ix e -> e -> Array D ix e

minusScalar :: Index ix => Array D ix e -> e -> Array D ix e

scalarMinus :: Index ix => e -> Array D ix e -> Array D ix e

multiplyScalar :: Index ix => Array D ix e -> e -> Array D ix e

absPointwise :: Index ix => Array D ix e -> Array D ix e

additionPointwise :: Index ix => Array D ix e -> Array D ix e -> Array D ix e

subtractionPointwise :: Index ix => Array D ix e -> Array D ix e -> Array D ix e

multiplicationPointwise :: Index ix => Array D ix e -> Array D ix e -> Array D ix e

powerPointwise :: Index ix => Array D ix e -> Int -> Array D ix e

unsafeLiftArray :: Index ix => (e -> e) -> Array D ix e -> Array D ix e

unsafeLiftArray2 :: Index ix => (e -> e -> e) -> Array D ix e -> Array D ix e -> Array D ix e

Num e => Numeric B e

Defined in Data.Massiv.Array.Manifest.Boxed

Methods

plusScalar :: Index ix => Array B ix e -> e -> Array B ix e

minusScalar :: Index ix => Array B ix e -> e -> Array B ix e

scalarMinus :: Index ix => e -> Array B ix e -> Array B ix e

multiplyScalar :: Index ix => Array B ix e -> e -> Array B ix e

absPointwise :: Index ix => Array B ix e -> Array B ix e

additionPointwise :: Index ix => Array B ix e -> Array B ix e -> Array B ix e

subtractionPointwise :: Index ix => Array B ix e -> Array B ix e -> Array B ix e

multiplicationPointwise :: Index ix => Array B ix e -> Array B ix e -> Array B ix e

powerPointwise :: Index ix => Array B ix e -> Int -> Array B ix e

unsafeLiftArray :: Index ix => (e -> e) -> Array B ix e -> Array B ix e

unsafeLiftArray2 :: Index ix => (e -> e -> e) -> Array B ix e -> Array B ix e -> Array B ix e

Num e => Numeric BL e

Defined in Data.Massiv.Array.Manifest.Boxed

Methods

plusScalar :: Index ix => Array BL ix e -> e -> Array BL ix e

minusScalar :: Index ix => Array BL ix e -> e -> Array BL ix e

scalarMinus :: Index ix => e -> Array BL ix e -> Array BL ix e

multiplyScalar :: Index ix => Array BL ix e -> e -> Array BL ix e

absPointwise :: Index ix => Array BL ix e -> Array BL ix e

additionPointwise :: Index ix => Array BL ix e -> Array BL ix e -> Array BL ix e

subtractionPointwise :: Index ix => Array BL ix e -> Array BL ix e -> Array BL ix e

multiplicationPointwise :: Index ix => Array BL ix e -> Array BL ix e -> Array BL ix e

powerPointwise :: Index ix => Array BL ix e -> Int -> Array BL ix e

unsafeLiftArray :: Index ix => (e -> e) -> Array BL ix e -> Array BL ix e

unsafeLiftArray2 :: Index ix => (e -> e -> e) -> Array BL ix e -> Array BL ix e -> Array BL ix e

(NFData e, Num e) => Numeric BN e

Defined in Data.Massiv.Array.Manifest.Boxed

Methods

plusScalar :: Index ix => Array BN ix e -> e -> Array BN ix e

minusScalar :: Index ix => Array BN ix e -> e -> Array BN ix e

scalarMinus :: Index ix => e -> Array BN ix e -> Array BN ix e

multiplyScalar :: Index ix => Array BN ix e -> e -> Array BN ix e

absPointwise :: Index ix => Array BN ix e -> Array BN ix e

additionPointwise :: Index ix => Array BN ix e -> Array BN ix e -> Array BN ix e

subtractionPointwise :: Index ix => Array BN ix e -> Array BN ix e -> Array BN ix e

multiplicationPointwise :: Index ix => Array BN ix e -> Array BN ix e -> Array BN ix e

powerPointwise :: Index ix => Array BN ix e -> Int -> Array BN ix e

unsafeLiftArray :: Index ix => (e -> e) -> Array BN ix e -> Array BN ix e

unsafeLiftArray2 :: Index ix => (e -> e -> e) -> Array BN ix e -> Array BN ix e -> Array BN ix e

(Prim e, Num e) => Numeric P e

Defined in Data.Massiv.Array.Manifest.Primitive

Methods

plusScalar :: Index ix => Array P ix e -> e -> Array P ix e

minusScalar :: Index ix => Array P ix e -> e -> Array P ix e

scalarMinus :: Index ix => e -> Array P ix e -> Array P ix e

multiplyScalar :: Index ix => Array P ix e -> e -> Array P ix e

absPointwise :: Index ix => Array P ix e -> Array P ix e

additionPointwise :: Index ix => Array P ix e -> Array P ix e -> Array P ix e

subtractionPointwise :: Index ix => Array P ix e -> Array P ix e -> Array P ix e

multiplicationPointwise :: Index ix => Array P ix e -> Array P ix e -> Array P ix e

powerPointwise :: Index ix => Array P ix e -> Int -> Array P ix e

unsafeLiftArray :: Index ix => (e -> e) -> Array P ix e -> Array P ix e

unsafeLiftArray2 :: Index ix => (e -> e -> e) -> Array P ix e -> Array P ix e -> Array P ix e

(Storable e, Num e) => Numeric S e

Defined in Data.Massiv.Array.Manifest.Storable

Methods

plusScalar :: Index ix => Array S ix e -> e -> Array S ix e

minusScalar :: Index ix => Array S ix e -> e -> Array S ix e

scalarMinus :: Index ix => e -> Array S ix e -> Array S ix e

multiplyScalar :: Index ix => Array S ix e -> e -> Array S ix e

absPointwise :: Index ix => Array S ix e -> Array S ix e

additionPointwise :: Index ix => Array S ix e -> Array S ix e -> Array S ix e

subtractionPointwise :: Index ix => Array S ix e -> Array S ix e -> Array S ix e

multiplicationPointwise :: Index ix => Array S ix e -> Array S ix e -> Array S ix e

powerPointwise :: Index ix => Array S ix e -> Int -> Array S ix e

unsafeLiftArray :: Index ix => (e -> e) -> Array S ix e -> Array S ix e

unsafeLiftArray2 :: Index ix => (e -> e -> e) -> Array S ix e -> Array S ix e -> Array S ix e

(Unbox e, Num e) => Numeric U e

Defined in Data.Massiv.Array.Manifest.Unboxed

Methods

plusScalar :: Index ix => Array U ix e -> e -> Array U ix e

minusScalar :: Index ix => Array U ix e -> e -> Array U ix e

scalarMinus :: Index ix => e -> Array U ix e -> Array U ix e

multiplyScalar :: Index ix => Array U ix e -> e -> Array U ix e

absPointwise :: Index ix => Array U ix e -> Array U ix e

additionPointwise :: Index ix => Array U ix e -> Array U ix e -> Array U ix e

subtractionPointwise :: Index ix => Array U ix e -> Array U ix e -> Array U ix e

multiplicationPointwise :: Index ix => Array U ix e -> Array U ix e -> Array U ix e

powerPointwise :: Index ix => Array U ix e -> Int -> Array U ix e

unsafeLiftArray :: Index ix => (e -> e) -> Array U ix e -> Array U ix e

unsafeLiftArray2 :: Index ix => (e -> e -> e) -> Array U ix e -> Array U ix e -> Array U ix e

defaultUnsafeLiftArray :: (Load r ix e, Source r e) => (e -> e) -> Array r ix e -> Array r ix e

defaultUnsafeLiftArray2 :: (Load r ix e, Source r e) => (e -> e -> e) -> Array r ix e -> Array r ix e -> Array r ix e

class (Numeric r e, Floating e) => NumericFloat r e where

Minimal complete definition

Nothing

Methods

divideScalar :: Index ix => Array r ix e -> e -> Array r ix e

scalarDivide :: Index ix => e -> Array r ix e -> Array r ix e

divisionPointwise :: Index ix => Array r ix e -> Array r ix e -> Array r ix e

recipPointwise :: Index ix => Array r ix e -> Array r ix e

sqrtPointwise :: Index ix => Array r ix e -> Array r ix e

Instances

Floating e => NumericFloat D e

Defined in Data.Massiv.Array.Delayed.Pull

Methods

divideScalar :: Index ix => Array D ix e -> e -> Array D ix e

scalarDivide :: Index ix => e -> Array D ix e -> Array D ix e

divisionPointwise :: Index ix => Array D ix e -> Array D ix e -> Array D ix e

recipPointwise :: Index ix => Array D ix e -> Array D ix e

sqrtPointwise :: Index ix => Array D ix e -> Array D ix e

(Prim e, Floating e) => NumericFloat P e

Defined in Data.Massiv.Array.Manifest.Primitive

Methods

divideScalar :: Index ix => Array P ix e -> e -> Array P ix e

scalarDivide :: Index ix => e -> Array P ix e -> Array P ix e

divisionPointwise :: Index ix => Array P ix e -> Array P ix e -> Array P ix e

recipPointwise :: Index ix => Array P ix e -> Array P ix e

sqrtPointwise :: Index ix => Array P ix e -> Array P ix e

(Storable e, Floating e) => NumericFloat S e

Defined in Data.Massiv.Array.Manifest.Storable

Methods

divideScalar :: Index ix => Array S ix e -> e -> Array S ix e

scalarDivide :: Index ix => e -> Array S ix e -> Array S ix e

divisionPointwise :: Index ix => Array S ix e -> Array S ix e -> Array S ix e

recipPointwise :: Index ix => Array S ix e -> Array S ix e

sqrtPointwise :: Index ix => Array S ix e -> Array S ix e