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* feat(vector): remove `simsimd` and use `nalgebra` instead Signed-off-by: Zhenchi <[email protected]> * keep thing simple Signed-off-by: Zhenchi <[email protected]> --------- Signed-off-by: Zhenchi <[email protected]>
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// Copyright 2023 Greptime Team | ||
// | ||
// Licensed under the Apache License, Version 2.0 (the "License"); | ||
// you may not use this file except in compliance with the License. | ||
// You may obtain a copy of the License at | ||
// | ||
// http://www.apache.org/licenses/LICENSE-2.0 | ||
// | ||
// Unless required by applicable law or agreed to in writing, software | ||
// distributed under the License is distributed on an "AS IS" BASIS, | ||
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
// See the License for the specific language governing permissions and | ||
// limitations under the License. | ||
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use nalgebra::DVectorView; | ||
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/// Calculates the cos distance between two vectors. | ||
/// | ||
/// **Note:** Must ensure that the length of the two vectors are the same. | ||
pub fn cos(lhs: &[f32], rhs: &[f32]) -> f32 { | ||
let lhs_vec = DVectorView::from_slice(lhs, lhs.len()); | ||
let rhs_vec = DVectorView::from_slice(rhs, rhs.len()); | ||
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let dot_product = lhs_vec.dot(&rhs_vec); | ||
let lhs_norm = lhs_vec.norm(); | ||
let rhs_norm = rhs_vec.norm(); | ||
if dot_product.abs() < f32::EPSILON | ||
|| lhs_norm.abs() < f32::EPSILON | ||
|| rhs_norm.abs() < f32::EPSILON | ||
{ | ||
return 1.0; | ||
} | ||
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let cos_similar = dot_product / (lhs_norm * rhs_norm); | ||
let res = 1.0 - cos_similar; | ||
if res.abs() < f32::EPSILON { | ||
0.0 | ||
} else { | ||
res | ||
} | ||
} | ||
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#[cfg(test)] | ||
mod tests { | ||
use approx::assert_relative_eq; | ||
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use super::*; | ||
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#[test] | ||
fn test_cos_scalar() { | ||
let lhs = vec![1.0, 2.0, 3.0]; | ||
let rhs = vec![1.0, 2.0, 3.0]; | ||
assert_relative_eq!(cos(&lhs, &rhs), 0.0, epsilon = 1e-2); | ||
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let lhs = vec![1.0, 2.0, 3.0]; | ||
let rhs = vec![4.0, 5.0, 6.0]; | ||
assert_relative_eq!(cos(&lhs, &rhs), 0.025, epsilon = 1e-2); | ||
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let lhs = vec![1.0, 2.0, 3.0]; | ||
let rhs = vec![7.0, 8.0, 9.0]; | ||
assert_relative_eq!(cos(&lhs, &rhs), 0.04, epsilon = 1e-2); | ||
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let lhs = vec![0.0, 0.0, 0.0]; | ||
let rhs = vec![1.0, 2.0, 3.0]; | ||
assert_relative_eq!(cos(&lhs, &rhs), 1.0, epsilon = 1e-2); | ||
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let lhs = vec![0.0, 0.0, 0.0]; | ||
let rhs = vec![4.0, 5.0, 6.0]; | ||
assert_relative_eq!(cos(&lhs, &rhs), 1.0, epsilon = 1e-2); | ||
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let lhs = vec![0.0, 0.0, 0.0]; | ||
let rhs = vec![7.0, 8.0, 9.0]; | ||
assert_relative_eq!(cos(&lhs, &rhs), 1.0, epsilon = 1e-2); | ||
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let lhs = vec![7.0, 8.0, 9.0]; | ||
let rhs = vec![1.0, 2.0, 3.0]; | ||
assert_relative_eq!(cos(&lhs, &rhs), 0.04, epsilon = 1e-2); | ||
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let lhs = vec![7.0, 8.0, 9.0]; | ||
let rhs = vec![4.0, 5.0, 6.0]; | ||
assert_relative_eq!(cos(&lhs, &rhs), 0.0, epsilon = 1e-2); | ||
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let lhs = vec![7.0, 8.0, 9.0]; | ||
let rhs = vec![7.0, 8.0, 9.0]; | ||
assert_relative_eq!(cos(&lhs, &rhs), 0.0, epsilon = 1e-2); | ||
} | ||
} |
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