Trait ndhistogram::axis::Axis

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pub trait Axis {
    type Coordinate;
    type BinInterval;

    // Required methods
    fn index(&self, coordinate: &Self::Coordinate) -> Option<usize>;
    fn num_bins(&self) -> usize;
    fn bin(&self, index: usize) -> Option<Self::BinInterval>;

    // Provided methods
    fn indices(&self) -> Box<dyn Iterator<Item = usize>> { ... }
    fn iter(&self) -> Box<dyn Iterator<Item = (usize, Self::BinInterval)> + '_> { ... }
    fn bins(&self) -> Box<dyn Iterator<Item = Self::BinInterval> + '_> { ... }
    fn num_dim(&self) -> usize { ... }
}
Expand description

An binned axis corresponding to one dimension of an N-dimensional Histogram.

An Axis is composed of a map from some coordinate space to linear bin number, and the inverse map. For examples see:

Most use cases should be covered by the builtin Axis implementations. However, you may implement the Axis trait if you have specialist needs.

Examples

Parity Axis

Imagine we wanted an 2-bin axis where even values where mapped to one bin and odd values to another bin. We could implement this with the following:

use ndhistogram::axis::Axis;
use ndhistogram::{ndhistogram, Histogram};
enum Parity {
    Even,
    Odd
}

struct ParityAxis {}

impl Axis for ParityAxis {
    type Coordinate = i32;

    type BinInterval = Parity;

    fn index(&self, coordinate: &Self::Coordinate) -> Option<usize> {
        if coordinate % 2 == 0 { Some(0) } else { Some(1) }
    }

   fn num_bins(&self) -> usize {
        2
    }

   fn bin(&self, index: usize) -> Option<Self::BinInterval> {
        if index == 0 { Some(Parity::Even) } else { Some(Parity::Odd) }
    }
}

let mut hist = ndhistogram!(ParityAxis{}; i32);
hist.fill(&1);
hist.fill_with(&2, 4);
assert_eq!(hist.value(&1), Some(&1));
assert_eq!(hist.value(&2), Some(&4));

Required Associated Types§

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type Coordinate

The type representing a location on this axis.

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type BinInterval

The type of an interval representing the set of Coordinates that correspond to a histogram bin

Required Methods§

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fn index(&self, coordinate: &Self::Coordinate) -> Option<usize>

Map from coordinate to bin number. Returns an option as not all valid coordinates are necessarily contained within a bin.

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fn num_bins(&self) -> usize

The number of bins in this axis, including underflow and overflow.

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fn bin(&self, index: usize) -> Option<Self::BinInterval>

Map from bin number to axis to the interval covering the range of coordinates that this bin contains. Returns an option in case an index >= Axis::num_bins is given.

Provided Methods§

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fn indices(&self) -> Box<dyn Iterator<Item = usize>>

An iterator over bin numbers

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fn iter(&self) -> Box<dyn Iterator<Item = (usize, Self::BinInterval)> + '_>

An iterator over bin numbers and bin intervals

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fn bins(&self) -> Box<dyn Iterator<Item = Self::BinInterval> + '_>

An iterator over bin intervals.

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fn num_dim(&self) -> usize

The number of dimensions that this object corresponds to. For most Axis types this will simply be 1. However, Axes (i.e. a set of Axis) also implement Axis and should return the number of Axis that it contains.

Implementors§

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impl<T> Axis for UniformNoFlow<T>where T: PartialOrd + NumCast + NumOps + Copy,

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impl<T> Axis for Variable<T>where T: PartialOrd + Copy,

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impl<T> Axis for VariableCyclic<T>where T: PartialOrd + Copy + Num,

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impl<T: PartialOrd + Copy> Axis for VariableNoFlow<T>

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impl<T: PartialOrd + NumCast + NumOps + Copy> Axis for Uniform<T>

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impl<T: PartialOrd + Num + NumCast + NumOps + Copy> Axis for UniformCyclic<T>

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impl<T: Value> Axis for Category<T>

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impl<T: Value> Axis for CategoryNoFlow<T>

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impl<X: Axis> Axis for AxesTuple<(X,)>

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impl<X: Axis, Y: Axis> Axis for AxesTuple<(X, Y)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis> Axis for AxesTuple<(X, Y, Z)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis, T: Axis> Axis for AxesTuple<(X, Y, Z, T)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate, <T as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval, <T as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis, T: Axis, D4: Axis> Axis for AxesTuple<(X, Y, Z, T, D4)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate, <T as Axis>::Coordinate, <D4 as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval, <T as Axis>::BinInterval, <D4 as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis, T: Axis, D4: Axis, D5: Axis> Axis for AxesTuple<(X, Y, Z, T, D4, D5)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate, <T as Axis>::Coordinate, <D4 as Axis>::Coordinate, <D5 as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval, <T as Axis>::BinInterval, <D4 as Axis>::BinInterval, <D5 as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis, T: Axis, D4: Axis, D5: Axis, D6: Axis> Axis for AxesTuple<(X, Y, Z, T, D4, D5, D6)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate, <T as Axis>::Coordinate, <D4 as Axis>::Coordinate, <D5 as Axis>::Coordinate, <D6 as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval, <T as Axis>::BinInterval, <D4 as Axis>::BinInterval, <D5 as Axis>::BinInterval, <D6 as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis, T: Axis, D4: Axis, D5: Axis, D6: Axis, D7: Axis> Axis for AxesTuple<(X, Y, Z, T, D4, D5, D6, D7)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate, <T as Axis>::Coordinate, <D4 as Axis>::Coordinate, <D5 as Axis>::Coordinate, <D6 as Axis>::Coordinate, <D7 as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval, <T as Axis>::BinInterval, <D4 as Axis>::BinInterval, <D5 as Axis>::BinInterval, <D6 as Axis>::BinInterval, <D7 as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis, T: Axis, D4: Axis, D5: Axis, D6: Axis, D7: Axis, D8: Axis> Axis for AxesTuple<(X, Y, Z, T, D4, D5, D6, D7, D8)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate, <T as Axis>::Coordinate, <D4 as Axis>::Coordinate, <D5 as Axis>::Coordinate, <D6 as Axis>::Coordinate, <D7 as Axis>::Coordinate, <D8 as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval, <T as Axis>::BinInterval, <D4 as Axis>::BinInterval, <D5 as Axis>::BinInterval, <D6 as Axis>::BinInterval, <D7 as Axis>::BinInterval, <D8 as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis, T: Axis, D4: Axis, D5: Axis, D6: Axis, D7: Axis, D8: Axis, D9: Axis> Axis for AxesTuple<(X, Y, Z, T, D4, D5, D6, D7, D8, D9)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate, <T as Axis>::Coordinate, <D4 as Axis>::Coordinate, <D5 as Axis>::Coordinate, <D6 as Axis>::Coordinate, <D7 as Axis>::Coordinate, <D8 as Axis>::Coordinate, <D9 as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval, <T as Axis>::BinInterval, <D4 as Axis>::BinInterval, <D5 as Axis>::BinInterval, <D6 as Axis>::BinInterval, <D7 as Axis>::BinInterval, <D8 as Axis>::BinInterval, <D9 as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis, T: Axis, D4: Axis, D5: Axis, D6: Axis, D7: Axis, D8: Axis, D9: Axis, D10: Axis> Axis for AxesTuple<(X, Y, Z, T, D4, D5, D6, D7, D8, D9, D10)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate, <T as Axis>::Coordinate, <D4 as Axis>::Coordinate, <D5 as Axis>::Coordinate, <D6 as Axis>::Coordinate, <D7 as Axis>::Coordinate, <D8 as Axis>::Coordinate, <D9 as Axis>::Coordinate, <D10 as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval, <T as Axis>::BinInterval, <D4 as Axis>::BinInterval, <D5 as Axis>::BinInterval, <D6 as Axis>::BinInterval, <D7 as Axis>::BinInterval, <D8 as Axis>::BinInterval, <D9 as Axis>::BinInterval, <D10 as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis, T: Axis, D4: Axis, D5: Axis, D6: Axis, D7: Axis, D8: Axis, D9: Axis, D10: Axis, D11: Axis> Axis for AxesTuple<(X, Y, Z, T, D4, D5, D6, D7, D8, D9, D10, D11)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate, <T as Axis>::Coordinate, <D4 as Axis>::Coordinate, <D5 as Axis>::Coordinate, <D6 as Axis>::Coordinate, <D7 as Axis>::Coordinate, <D8 as Axis>::Coordinate, <D9 as Axis>::Coordinate, <D10 as Axis>::Coordinate, <D11 as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval, <T as Axis>::BinInterval, <D4 as Axis>::BinInterval, <D5 as Axis>::BinInterval, <D6 as Axis>::BinInterval, <D7 as Axis>::BinInterval, <D8 as Axis>::BinInterval, <D9 as Axis>::BinInterval, <D10 as Axis>::BinInterval, <D11 as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis, T: Axis, D4: Axis, D5: Axis, D6: Axis, D7: Axis, D8: Axis, D9: Axis, D10: Axis, D11: Axis, D12: Axis> Axis for AxesTuple<(X, Y, Z, T, D4, D5, D6, D7, D8, D9, D10, D11, D12)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate, <T as Axis>::Coordinate, <D4 as Axis>::Coordinate, <D5 as Axis>::Coordinate, <D6 as Axis>::Coordinate, <D7 as Axis>::Coordinate, <D8 as Axis>::Coordinate, <D9 as Axis>::Coordinate, <D10 as Axis>::Coordinate, <D11 as Axis>::Coordinate, <D12 as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval, <T as Axis>::BinInterval, <D4 as Axis>::BinInterval, <D5 as Axis>::BinInterval, <D6 as Axis>::BinInterval, <D7 as Axis>::BinInterval, <D8 as Axis>::BinInterval, <D9 as Axis>::BinInterval, <D10 as Axis>::BinInterval, <D11 as Axis>::BinInterval, <D12 as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis, T: Axis, D4: Axis, D5: Axis, D6: Axis, D7: Axis, D8: Axis, D9: Axis, D10: Axis, D11: Axis, D12: Axis, D13: Axis> Axis for AxesTuple<(X, Y, Z, T, D4, D5, D6, D7, D8, D9, D10, D11, D12, D13)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate, <T as Axis>::Coordinate, <D4 as Axis>::Coordinate, <D5 as Axis>::Coordinate, <D6 as Axis>::Coordinate, <D7 as Axis>::Coordinate, <D8 as Axis>::Coordinate, <D9 as Axis>::Coordinate, <D10 as Axis>::Coordinate, <D11 as Axis>::Coordinate, <D12 as Axis>::Coordinate, <D13 as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval, <T as Axis>::BinInterval, <D4 as Axis>::BinInterval, <D5 as Axis>::BinInterval, <D6 as Axis>::BinInterval, <D7 as Axis>::BinInterval, <D8 as Axis>::BinInterval, <D9 as Axis>::BinInterval, <D10 as Axis>::BinInterval, <D11 as Axis>::BinInterval, <D12 as Axis>::BinInterval, <D13 as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis, T: Axis, D4: Axis, D5: Axis, D6: Axis, D7: Axis, D8: Axis, D9: Axis, D10: Axis, D11: Axis, D12: Axis, D13: Axis, D14: Axis> Axis for AxesTuple<(X, Y, Z, T, D4, D5, D6, D7, D8, D9, D10, D11, D12, D13, D14)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate, <T as Axis>::Coordinate, <D4 as Axis>::Coordinate, <D5 as Axis>::Coordinate, <D6 as Axis>::Coordinate, <D7 as Axis>::Coordinate, <D8 as Axis>::Coordinate, <D9 as Axis>::Coordinate, <D10 as Axis>::Coordinate, <D11 as Axis>::Coordinate, <D12 as Axis>::Coordinate, <D13 as Axis>::Coordinate, <D14 as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval, <T as Axis>::BinInterval, <D4 as Axis>::BinInterval, <D5 as Axis>::BinInterval, <D6 as Axis>::BinInterval, <D7 as Axis>::BinInterval, <D8 as Axis>::BinInterval, <D9 as Axis>::BinInterval, <D10 as Axis>::BinInterval, <D11 as Axis>::BinInterval, <D12 as Axis>::BinInterval, <D13 as Axis>::BinInterval, <D14 as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis, T: Axis, D4: Axis, D5: Axis, D6: Axis, D7: Axis, D8: Axis, D9: Axis, D10: Axis, D11: Axis, D12: Axis, D13: Axis, D14: Axis, D15: Axis> Axis for AxesTuple<(X, Y, Z, T, D4, D5, D6, D7, D8, D9, D10, D11, D12, D13, D14, D15)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate, <T as Axis>::Coordinate, <D4 as Axis>::Coordinate, <D5 as Axis>::Coordinate, <D6 as Axis>::Coordinate, <D7 as Axis>::Coordinate, <D8 as Axis>::Coordinate, <D9 as Axis>::Coordinate, <D10 as Axis>::Coordinate, <D11 as Axis>::Coordinate, <D12 as Axis>::Coordinate, <D13 as Axis>::Coordinate, <D14 as Axis>::Coordinate, <D15 as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval, <T as Axis>::BinInterval, <D4 as Axis>::BinInterval, <D5 as Axis>::BinInterval, <D6 as Axis>::BinInterval, <D7 as Axis>::BinInterval, <D8 as Axis>::BinInterval, <D9 as Axis>::BinInterval, <D10 as Axis>::BinInterval, <D11 as Axis>::BinInterval, <D12 as Axis>::BinInterval, <D13 as Axis>::BinInterval, <D14 as Axis>::BinInterval, <D15 as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis, T: Axis, D4: Axis, D5: Axis, D6: Axis, D7: Axis, D8: Axis, D9: Axis, D10: Axis, D11: Axis, D12: Axis, D13: Axis, D14: Axis, D15: Axis, D16: Axis> Axis for AxesTuple<(X, Y, Z, T, D4, D5, D6, D7, D8, D9, D10, D11, D12, D13, D14, D15, D16)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate, <T as Axis>::Coordinate, <D4 as Axis>::Coordinate, <D5 as Axis>::Coordinate, <D6 as Axis>::Coordinate, <D7 as Axis>::Coordinate, <D8 as Axis>::Coordinate, <D9 as Axis>::Coordinate, <D10 as Axis>::Coordinate, <D11 as Axis>::Coordinate, <D12 as Axis>::Coordinate, <D13 as Axis>::Coordinate, <D14 as Axis>::Coordinate, <D15 as Axis>::Coordinate, <D16 as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval, <T as Axis>::BinInterval, <D4 as Axis>::BinInterval, <D5 as Axis>::BinInterval, <D6 as Axis>::BinInterval, <D7 as Axis>::BinInterval, <D8 as Axis>::BinInterval, <D9 as Axis>::BinInterval, <D10 as Axis>::BinInterval, <D11 as Axis>::BinInterval, <D12 as Axis>::BinInterval, <D13 as Axis>::BinInterval, <D14 as Axis>::BinInterval, <D15 as Axis>::BinInterval, <D16 as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis, T: Axis, D4: Axis, D5: Axis, D6: Axis, D7: Axis, D8: Axis, D9: Axis, D10: Axis, D11: Axis, D12: Axis, D13: Axis, D14: Axis, D15: Axis, D16: Axis, D17: Axis> Axis for AxesTuple<(X, Y, Z, T, D4, D5, D6, D7, D8, D9, D10, D11, D12, D13, D14, D15, D16, D17)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate, <T as Axis>::Coordinate, <D4 as Axis>::Coordinate, <D5 as Axis>::Coordinate, <D6 as Axis>::Coordinate, <D7 as Axis>::Coordinate, <D8 as Axis>::Coordinate, <D9 as Axis>::Coordinate, <D10 as Axis>::Coordinate, <D11 as Axis>::Coordinate, <D12 as Axis>::Coordinate, <D13 as Axis>::Coordinate, <D14 as Axis>::Coordinate, <D15 as Axis>::Coordinate, <D16 as Axis>::Coordinate, <D17 as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval, <T as Axis>::BinInterval, <D4 as Axis>::BinInterval, <D5 as Axis>::BinInterval, <D6 as Axis>::BinInterval, <D7 as Axis>::BinInterval, <D8 as Axis>::BinInterval, <D9 as Axis>::BinInterval, <D10 as Axis>::BinInterval, <D11 as Axis>::BinInterval, <D12 as Axis>::BinInterval, <D13 as Axis>::BinInterval, <D14 as Axis>::BinInterval, <D15 as Axis>::BinInterval, <D16 as Axis>::BinInterval, <D17 as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis, T: Axis, D4: Axis, D5: Axis, D6: Axis, D7: Axis, D8: Axis, D9: Axis, D10: Axis, D11: Axis, D12: Axis, D13: Axis, D14: Axis, D15: Axis, D16: Axis, D17: Axis, D18: Axis> Axis for AxesTuple<(X, Y, Z, T, D4, D5, D6, D7, D8, D9, D10, D11, D12, D13, D14, D15, D16, D17, D18)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate, <T as Axis>::Coordinate, <D4 as Axis>::Coordinate, <D5 as Axis>::Coordinate, <D6 as Axis>::Coordinate, <D7 as Axis>::Coordinate, <D8 as Axis>::Coordinate, <D9 as Axis>::Coordinate, <D10 as Axis>::Coordinate, <D11 as Axis>::Coordinate, <D12 as Axis>::Coordinate, <D13 as Axis>::Coordinate, <D14 as Axis>::Coordinate, <D15 as Axis>::Coordinate, <D16 as Axis>::Coordinate, <D17 as Axis>::Coordinate, <D18 as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval, <T as Axis>::BinInterval, <D4 as Axis>::BinInterval, <D5 as Axis>::BinInterval, <D6 as Axis>::BinInterval, <D7 as Axis>::BinInterval, <D8 as Axis>::BinInterval, <D9 as Axis>::BinInterval, <D10 as Axis>::BinInterval, <D11 as Axis>::BinInterval, <D12 as Axis>::BinInterval, <D13 as Axis>::BinInterval, <D14 as Axis>::BinInterval, <D15 as Axis>::BinInterval, <D16 as Axis>::BinInterval, <D17 as Axis>::BinInterval, <D18 as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis, T: Axis, D4: Axis, D5: Axis, D6: Axis, D7: Axis, D8: Axis, D9: Axis, D10: Axis, D11: Axis, D12: Axis, D13: Axis, D14: Axis, D15: Axis, D16: Axis, D17: Axis, D18: Axis, D19: Axis> Axis for AxesTuple<(X, Y, Z, T, D4, D5, D6, D7, D8, D9, D10, D11, D12, D13, D14, D15, D16, D17, D18, D19)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate, <T as Axis>::Coordinate, <D4 as Axis>::Coordinate, <D5 as Axis>::Coordinate, <D6 as Axis>::Coordinate, <D7 as Axis>::Coordinate, <D8 as Axis>::Coordinate, <D9 as Axis>::Coordinate, <D10 as Axis>::Coordinate, <D11 as Axis>::Coordinate, <D12 as Axis>::Coordinate, <D13 as Axis>::Coordinate, <D14 as Axis>::Coordinate, <D15 as Axis>::Coordinate, <D16 as Axis>::Coordinate, <D17 as Axis>::Coordinate, <D18 as Axis>::Coordinate, <D19 as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval, <T as Axis>::BinInterval, <D4 as Axis>::BinInterval, <D5 as Axis>::BinInterval, <D6 as Axis>::BinInterval, <D7 as Axis>::BinInterval, <D8 as Axis>::BinInterval, <D9 as Axis>::BinInterval, <D10 as Axis>::BinInterval, <D11 as Axis>::BinInterval, <D12 as Axis>::BinInterval, <D13 as Axis>::BinInterval, <D14 as Axis>::BinInterval, <D15 as Axis>::BinInterval, <D16 as Axis>::BinInterval, <D17 as Axis>::BinInterval, <D18 as Axis>::BinInterval, <D19 as Axis>::BinInterval)

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impl<X: Axis, Y: Axis, Z: Axis, T: Axis, D4: Axis, D5: Axis, D6: Axis, D7: Axis, D8: Axis, D9: Axis, D10: Axis, D11: Axis, D12: Axis, D13: Axis, D14: Axis, D15: Axis, D16: Axis, D17: Axis, D18: Axis, D19: Axis, D20: Axis> Axis for AxesTuple<(X, Y, Z, T, D4, D5, D6, D7, D8, D9, D10, D11, D12, D13, D14, D15, D16, D17, D18, D19, D20)>

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type Coordinate = (<X as Axis>::Coordinate, <Y as Axis>::Coordinate, <Z as Axis>::Coordinate, <T as Axis>::Coordinate, <D4 as Axis>::Coordinate, <D5 as Axis>::Coordinate, <D6 as Axis>::Coordinate, <D7 as Axis>::Coordinate, <D8 as Axis>::Coordinate, <D9 as Axis>::Coordinate, <D10 as Axis>::Coordinate, <D11 as Axis>::Coordinate, <D12 as Axis>::Coordinate, <D13 as Axis>::Coordinate, <D14 as Axis>::Coordinate, <D15 as Axis>::Coordinate, <D16 as Axis>::Coordinate, <D17 as Axis>::Coordinate, <D18 as Axis>::Coordinate, <D19 as Axis>::Coordinate, <D20 as Axis>::Coordinate)

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type BinInterval = (<X as Axis>::BinInterval, <Y as Axis>::BinInterval, <Z as Axis>::BinInterval, <T as Axis>::BinInterval, <D4 as Axis>::BinInterval, <D5 as Axis>::BinInterval, <D6 as Axis>::BinInterval, <D7 as Axis>::BinInterval, <D8 as Axis>::BinInterval, <D9 as Axis>::BinInterval, <D10 as Axis>::BinInterval, <D11 as Axis>::BinInterval, <D12 as Axis>::BinInterval, <D13 as Axis>::BinInterval, <D14 as Axis>::BinInterval, <D15 as Axis>::BinInterval, <D16 as Axis>::BinInterval, <D17 as Axis>::BinInterval, <D18 as Axis>::BinInterval, <D19 as Axis>::BinInterval, <D20 as Axis>::BinInterval)