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| 1 | +//! Element-wise methods for ndarray |
| 2 | +
|
| 3 | +use num_traits::Float; |
| 4 | + |
| 5 | +use crate::imp_prelude::*; |
| 6 | + |
| 7 | +macro_rules! boolean_op { |
| 8 | + ($(#[$meta1:meta])* fn $id1:ident $(#[$meta2:meta])* fn $id2:ident -> $func:ident) => { |
| 9 | + $(#[$meta1])* |
| 10 | + pub fn $id1(&self) -> Array<bool, D> { |
| 11 | + self.mapv(A::$func) |
| 12 | + } |
| 13 | + $(#[$meta2])* |
| 14 | + pub fn $id2(&self) -> bool { |
| 15 | + self.mapv(A::$func).iter().any(|&b|b) |
| 16 | + } |
| 17 | + }; |
| 18 | +} |
| 19 | + |
| 20 | +macro_rules! map_op { |
| 21 | + ($(#[$meta:meta])* fn $id:ident) => { |
| 22 | + $(#[$meta])* |
| 23 | + pub fn $id(&self) -> Array<A, D> { |
| 24 | + self.mapv(A::$id) |
| 25 | + } |
| 26 | + }; |
| 27 | +} |
| 28 | + |
| 29 | +macro_rules! bin_op { |
| 30 | + ($(#[$meta:meta])* fn $id:ident($ty:ty)) => { |
| 31 | + $(#[$meta])* |
| 32 | + pub fn $id(&self, rhs: $ty) -> Array<A, D> { |
| 33 | + self.mapv(|v| A::$id(v, rhs)) |
| 34 | + } |
| 35 | + }; |
| 36 | +} |
| 37 | + |
| 38 | +/// # Element-wise methods for Float Array |
| 39 | +/// |
| 40 | +/// Element-wise math functions for any array type that contains float number. |
| 41 | +impl<A, S, D> ArrayBase<S, D> |
| 42 | +where |
| 43 | + A: Float, |
| 44 | + S: RawData<Elem = A> + Data, |
| 45 | + D: Dimension, |
| 46 | +{ |
| 47 | + boolean_op! { |
| 48 | + /// If the number is `NaN` (not a number), then `true` is returned for each element. |
| 49 | + fn is_nan |
| 50 | + /// Return `true` if any element is `NaN` (not a number). |
| 51 | + fn is_nan_any -> is_nan |
| 52 | + } |
| 53 | + boolean_op! { |
| 54 | + /// If the number is infinity, then `true` is returned for each element. |
| 55 | + fn is_infinite |
| 56 | + /// Return `true` if any element is infinity. |
| 57 | + fn is_infinite_any -> is_infinite |
| 58 | + } |
| 59 | + map_op! { |
| 60 | + /// The largest integer less than or equal to each element. |
| 61 | + fn floor |
| 62 | + } |
| 63 | + map_op! { |
| 64 | + /// The smallest integer less than or equal to each element. |
| 65 | + fn ceil |
| 66 | + } |
| 67 | + map_op! { |
| 68 | + /// The nearest integer of each element. |
| 69 | + fn round |
| 70 | + } |
| 71 | + map_op! { |
| 72 | + /// The integer part of each element. |
| 73 | + fn trunc |
| 74 | + } |
| 75 | + map_op! { |
| 76 | + /// The fractional part of each element. |
| 77 | + fn fract |
| 78 | + } |
| 79 | + map_op! { |
| 80 | + /// Absolute of each element. |
| 81 | + fn abs |
| 82 | + } |
| 83 | + map_op! { |
| 84 | + /// Sign number of each element. |
| 85 | + /// |
| 86 | + /// + `1.0` for all positive numbers. |
| 87 | + /// + `-1.0` for all negative numbers. |
| 88 | + /// + `NaN` for all `NaN` (not a number). |
| 89 | + fn signum |
| 90 | + } |
| 91 | + map_op! { |
| 92 | + /// The reciprocal (inverse) of each element, `1/x`. |
| 93 | + fn recip |
| 94 | + } |
| 95 | + bin_op! { |
| 96 | + /// Integer power of each element. |
| 97 | + /// |
| 98 | + /// This function is generally faster than using float power. |
| 99 | + fn powi(i32) |
| 100 | + } |
| 101 | + bin_op! { |
| 102 | + /// Float power of each element. |
| 103 | + fn powf(A) |
| 104 | + } |
| 105 | + |
| 106 | + /// Square of each element. |
| 107 | + pub fn square(&self) -> Array<A, D> { |
| 108 | + self.mapv(|v| v * v) |
| 109 | + } |
| 110 | + |
| 111 | + map_op! { |
| 112 | + /// Square root of each element. |
| 113 | + fn sqrt |
| 114 | + } |
| 115 | + map_op! { |
| 116 | + /// `e^x` of each element. (Exponential function) |
| 117 | + fn exp |
| 118 | + } |
| 119 | + map_op! { |
| 120 | + /// `2^x` of each element. |
| 121 | + fn exp2 |
| 122 | + } |
| 123 | + map_op! { |
| 124 | + /// Natural logarithm of each element. |
| 125 | + fn ln |
| 126 | + } |
| 127 | + bin_op! { |
| 128 | + /// Logarithm of each element with respect to an arbitrary base. |
| 129 | + fn log(A) |
| 130 | + } |
| 131 | + map_op! { |
| 132 | + /// Base 2 logarithm of each element. |
| 133 | + fn log2 |
| 134 | + } |
| 135 | + map_op! { |
| 136 | + /// Base 10 logarithm of each element. |
| 137 | + fn log10 |
| 138 | + } |
| 139 | + bin_op! { |
| 140 | + /// The positive difference between given number and each element. |
| 141 | + fn abs_sub(A) |
| 142 | + } |
| 143 | + map_op! { |
| 144 | + /// Cubic root of each element. |
| 145 | + fn cbrt |
| 146 | + } |
| 147 | + map_op! { |
| 148 | + /// Sine of each element. (in radians) |
| 149 | + fn sin |
| 150 | + } |
| 151 | + map_op! { |
| 152 | + /// Cosine of each element. (in radians) |
| 153 | + fn cos |
| 154 | + } |
| 155 | + map_op! { |
| 156 | + /// Tangent of each element. (in radians) |
| 157 | + fn tan |
| 158 | + } |
| 159 | + map_op! { |
| 160 | + /// Converts radians to degrees for each element. |
| 161 | + fn to_degrees |
| 162 | + } |
| 163 | + map_op! { |
| 164 | + /// Converts degrees to radians for each element. |
| 165 | + fn to_radians |
| 166 | + } |
| 167 | + |
| 168 | + /// Limit the values for each element. |
| 169 | + /// |
| 170 | + /// ``` |
| 171 | + /// use ndarray::{Array1, array}; |
| 172 | + /// |
| 173 | + /// let a = Array1::range(0., 10., 1.); |
| 174 | + /// assert_eq!(a.clip(1., 8.), array![1., 1., 2., 3., 4., 5., 6., 7., 8., 8.]); |
| 175 | + /// assert_eq!(a.clip(8., 1.), array![1., 1., 1., 1., 1., 1., 1., 1., 1., 1.]); |
| 176 | + /// assert_eq!(a.clip(3., 6.), array![3., 3., 3., 3., 4., 5., 6., 6., 6., 6.]); |
| 177 | + /// ``` |
| 178 | + pub fn clip(&self, min: A, max: A) -> Array<A, D> { |
| 179 | + self.mapv(|v| A::max(v, min)).mapv(|v| A::min(v, max)) |
| 180 | + } |
| 181 | +} |
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