From a59ac1716dd0eb415174a0d916a77f728f407570 Mon Sep 17 00:00:00 2001
From: Zefeng Yin <yinzefeng.yzf@alibaba-inc.com>
Date: Sat, 7 Mar 2026 02:55:37 +0800
Subject: [PATCH 1/4] upd vector to array for ip

---
 src/ailego/algorithm/lloyd_cluster.h          |  8 ++--
 .../math/mips_euclidean_distance_matrix.h     | 38 +++++++++----------
 .../inner_product_distance_batch_impl.h       | 10 ++---
 .../inner_product_distance_batch_impl_fp16.h  | 22 +++++------
 .../inner_product_distance_batch_impl_int8.h  | 28 +++++++-------
 5 files changed, 53 insertions(+), 53 deletions(-)

diff --git a/src/ailego/algorithm/lloyd_cluster.h b/src/ailego/algorithm/lloyd_cluster.h
index 454a63c7..423693eb 100644
--- a/src/ailego/algorithm/lloyd_cluster.h
+++ b/src/ailego/algorithm/lloyd_cluster.h
@@ -16,7 +16,7 @@
 
 #include <algorithm>
 #include <random>
-#include <vector>
+#include <array>
 #include <ailego/parallel/lock.h>
 #include <zvec/ailego/parallel/thread_pool.h>
 #include <zvec/ailego/utility/type_helper.h>
@@ -248,7 +248,7 @@ class LloydCluster {
  protected:
   //! Cluster the cache features
   void cluster_cache_features(void) {
-    std::vector<float> scores(BatchCount);
+    std::array<float, BatchCount> scores;
 
     for (size_t i = 0, n = feature_cache_.count(); i != n; ++i) {
       size_t count = centroids_matrix_.count() / BatchCount * BatchCount;
@@ -296,8 +296,8 @@ class LloydCluster {
       return i < j;
     };
 
-    std::vector<float> nearest_scores(BatchCount);
-    std::vector<size_t> nearest_indexes(BatchCount);
+    std::array<float, BatchCount> nearest_scores;
+    std::array<size_t, BatchCount> nearest_indexes;
 
     rows.resize(BatchCount);
     for (size_t i = first * BatchCount; i != last * BatchCount;
diff --git a/src/ailego/math/mips_euclidean_distance_matrix.h b/src/ailego/math/mips_euclidean_distance_matrix.h
index 34e9ee02..34b1a7a1 100644
--- a/src/ailego/math/mips_euclidean_distance_matrix.h
+++ b/src/ailego/math/mips_euclidean_distance_matrix.h
@@ -14,7 +14,7 @@
 
 #pragma once
 
-#include <vector>
+#include <array>
 #include <ailego/math/norm2_matrix.h>
 #include <ailego/utility/math_helper.h>
 #include <zvec/ailego/internal/platform.h>
@@ -109,8 +109,8 @@ struct MipsSquaredEuclideanDistanceMatrix<
       return;
     }
 
-    std::vector<float> u2(M);
-    std::vector<float> v2(N);
+    std::array<float, M> u2;
+    std::array<float, N> v2;
     for (size_t i = 0; i < M; ++i) {
       const ValueType p_val = p[i];
       u2[i] = static_cast<float>(p_val * p_val);
@@ -162,8 +162,8 @@ struct MipsSquaredEuclideanDistanceMatrix<
       return;
     }
 
-    std::vector<float> u2(M);
-    std::vector<float> v2(N);
+    std::array<float, M> u2;
+    std::array<float, N> v2;
     for (size_t i = 0; i < M; ++i) {
       const ValueType p_val = p[i];
       u2[i] = static_cast<float>(p_val * p_val);
@@ -241,7 +241,7 @@ struct MipsSquaredEuclideanDistanceMatrix<
       return;
     }
 
-    std::vector<float> u2(M);
+    std::array<float, M> u2;
     ValueType q_val = *q++;
     float v2 = static_cast<float>(q_val * q_val);
     for (size_t i = 0; i < M; ++i) {
@@ -275,7 +275,7 @@ struct MipsSquaredEuclideanDistanceMatrix<
       return;
     }
 
-    std::vector<float> u2(M);
+    std::array<float, M> u2;
     ValueType q_val = *q++;
     float v2 = static_cast<float>(q_val * q_val);
     for (size_t i = 0; i < M; ++i) {
@@ -328,8 +328,8 @@ struct MipsSquaredEuclideanDistanceMatrix<
       return;
     }
 
-    std::vector<float> u2(M);
-    std::vector<float> v2(N);
+    std::array<float, M> u2;
+    std::array<float, N> v2;
     const uint32_t *p_it = reinterpret_cast<const uint32_t *>(p);
     const uint32_t *q_it = reinterpret_cast<const uint32_t *>(q);
     for (size_t i = 0; i < M; ++i) {
@@ -384,8 +384,8 @@ struct MipsSquaredEuclideanDistanceMatrix<
       return;
     }
 
-    std::vector<float> u2(M);
-    std::vector<float> v2(N);
+    std::array<float, M> u2;
+    std::array<float, N> v2;
     const uint32_t *p_it = reinterpret_cast<const uint32_t *>(p);
     const uint32_t *q_it = reinterpret_cast<const uint32_t *>(q);
     for (size_t i = 0; i < M; ++i) {
@@ -496,7 +496,7 @@ struct MipsSquaredEuclideanDistanceMatrix<
       return;
     }
 
-    std::vector<float> u2(M);
+    std::array<float, M> u2;
     uint32_t q_val = *q_it++;
     float v2 = Squared(q_val);
     for (size_t i = 0; i < M; ++i) {
@@ -532,7 +532,7 @@ struct MipsSquaredEuclideanDistanceMatrix<
       return;
     }
 
-    std::vector<float> u2(M);
+    std::array<float, M> u2;
     uint32_t q_val = *q_it++;
     float v2 = Squared(q_val);
     for (size_t i = 0; i < M; ++i) {
@@ -614,8 +614,8 @@ struct MipsSquaredEuclideanDistanceMatrix<
       return;
     }
 
-    std::vector<float> u2(M);
-    std::vector<float> v2(N);
+    std::array<float, M> u2;
+    std::array<float, N> v2;
     const uint32_t *p_it = reinterpret_cast<const uint32_t *>(p);
     const uint32_t *q_it = reinterpret_cast<const uint32_t *>(q);
     for (size_t i = 0; i < M; ++i) {
@@ -670,8 +670,8 @@ struct MipsSquaredEuclideanDistanceMatrix<
       return;
     }
 
-    std::vector<float> u2(M);
-    std::vector<float> v2(N);
+    std::array<float, M> u2;
+    std::array<float, N> v2;
     const uint32_t *p_it = reinterpret_cast<const uint32_t *>(p);
     const uint32_t *q_it = reinterpret_cast<const uint32_t *>(q);
     for (size_t i = 0; i < M; ++i) {
@@ -857,7 +857,7 @@ struct MipsSquaredEuclideanDistanceMatrix<
       return;
     }
 
-    std::vector<float> u2(M);
+    std::array<float, M> u2;
     uint32_t q_val = *q_it++;
     float v2 = Squared(q_val);
     for (size_t i = 0; i < M; ++i) {
@@ -893,7 +893,7 @@ struct MipsSquaredEuclideanDistanceMatrix<
       return;
     }
 
-    std::vector<float> u2(M);
+    std::array<float, M> u2;
     uint32_t q_val = *q_it++;
     float v2 = Squared(q_val);
     for (size_t i = 0; i < M; ++i) {
diff --git a/src/ailego/math_batch/inner_product_distance_batch_impl.h b/src/ailego/math_batch/inner_product_distance_batch_impl.h
index d3ad6f0d..8dd8504d 100644
--- a/src/ailego/math_batch/inner_product_distance_batch_impl.h
+++ b/src/ailego/math_batch/inner_product_distance_batch_impl.h
@@ -53,14 +53,14 @@ compute_one_to_many_avx2_fp32(
     const ValueType *query, const ValueType **ptrs,
     std::array<const ValueType *, dp_batch> &prefetch_ptrs,
     size_t dimensionality, float *results) {
-  std::vector<__m256> accs(dp_batch);
+  std::array<__m256, dp_batch> accs;
   for (size_t i = 0; i < dp_batch; ++i) {
     accs[i] = _mm256_setzero_ps();
   }
   size_t dim = 0;
   for (; dim + 8 <= dimensionality; dim += 8) {
     __m256 q = _mm256_loadu_ps(query + dim);
-    std::vector<__m256> data_regs(dp_batch);
+    std::array<__m256, dp_batch> data_regs;
     for (size_t i = 0; i < dp_batch; ++i) {
       data_regs[i] = _mm256_loadu_ps(ptrs[i] + dim);
     }
@@ -73,13 +73,13 @@ compute_one_to_many_avx2_fp32(
       accs[i] = _mm256_fnmadd_ps(q, data_regs[i], accs[i]);
     }
   }
-  std::vector<__m128> sum128_regs(dp_batch);
+  std::array<__m128, dp_batch> sum128_regs;
   for (size_t i = 0; i < dp_batch; ++i) {
     sum128_regs[i] = sum_top_bottom_avx(accs[i]);
   }
   if (dim + 4 <= dimensionality) {
     __m128 q = _mm_loadu_ps(query + dim);
-    std::vector<__m128> data_regs(dp_batch);
+    std::array<__m128, dp_batch> data_regs;
     for (size_t i = 0; i < dp_batch; ++i) {
       data_regs[i] = _mm_loadu_ps(ptrs[i] + dim);
     }
@@ -95,7 +95,7 @@ compute_one_to_many_avx2_fp32(
   }
   if (dim + 2 <= dimensionality) {
     __m128 q = _mm_setzero_ps();
-    std::vector<__m128> data_regs(dp_batch);
+    std::array<__m128, dp_batch> data_regs;
     for (size_t i = 0; i < dp_batch; ++i) {
       data_regs[i] = _mm_setzero_ps();
     }
diff --git a/src/ailego/math_batch/inner_product_distance_batch_impl_fp16.h b/src/ailego/math_batch/inner_product_distance_batch_impl_fp16.h
index 0ff65f8d..b1aa7f5b 100644
--- a/src/ailego/math_batch/inner_product_distance_batch_impl_fp16.h
+++ b/src/ailego/math_batch/inner_product_distance_batch_impl_fp16.h
@@ -30,7 +30,7 @@ compute_one_to_many_avx512fp16_fp16(
     const ailego::Float16 *query, const ailego::Float16 **ptrs,
     std::array<const ailego::Float16 *, dp_batch> &prefetch_ptrs,
     size_t dimensionality, float *results) {
-  std::vector<__m512h> accs(dp_batch);
+  std::array<__m512h, dp_batch> accs;
 
   for (size_t i = 0; i < dp_batch; ++i) {
     accs[i] = _mm512_setzero_ph();
@@ -40,7 +40,7 @@ compute_one_to_many_avx512fp16_fp16(
   for (; dim + 32 <= dimensionality; dim += 32) {
     __m512h q = _mm512_loadu_ph(query + dim);
 
-    std::vector<__m512h> data_regs(dp_batch);
+    std::array<__m512h, dp_batch> data_regs;
     for (size_t i = 0; i < dp_batch; ++i) {
       data_regs[i] = _mm512_loadu_ph(ptrs[i] + dim);
     }
@@ -86,7 +86,7 @@ compute_one_to_many_avx512f_fp16(
     const ailego::Float16 *query, const ailego::Float16 **ptrs,
     std::array<const ailego::Float16 *, dp_batch> &prefetch_ptrs,
     size_t dimensionality, float *results) {
-  std::vector<__m512> accs(dp_batch);
+  std::array<__m512, dp_batch> accs;
 
   for (size_t i = 0; i < dp_batch; ++i) {
     accs[i] = _mm512_setzero_ps();
@@ -100,8 +100,8 @@ compute_one_to_many_avx512f_fp16(
     __m512 q1 = _mm512_cvtph_ps(_mm512_castsi512_si256(q));
     __m512 q2 = _mm512_cvtph_ps(_mm512_extracti64x4_epi64(q, 1));
 
-    std::vector<__m512> data_regs_1(dp_batch);
-    std::vector<__m512> data_regs_2(dp_batch);
+    std::array<__m512, dp_batch> data_regs_1;
+    std::array<__m512, dp_batch> data_regs_2;
     for (size_t i = 0; i < dp_batch; ++i) {
       __m512i m =
           _mm512_loadu_si512(reinterpret_cast<const __m512i *>(ptrs[i] + dim));
@@ -126,7 +126,7 @@ compute_one_to_many_avx512f_fp16(
     __m512 q = _mm512_cvtph_ps(
         _mm256_loadu_si256(reinterpret_cast<const __m256i *>(query + dim)));
 
-    std::vector<__m512> data_regs(dp_batch);
+    std::array<__m512, dp_batch> data_regs;
     for (size_t i = 0; i < dp_batch; ++i) {
       data_regs[i] = _mm512_cvtph_ps(
           _mm256_loadu_si256(reinterpret_cast<const __m256i *>(ptrs[i] + dim)));
@@ -136,7 +136,7 @@ compute_one_to_many_avx512f_fp16(
     dim += 16;
   }
 
-  std::vector<__m256> acc_new(dp_batch);
+  std::array<__m256, dp_batch> acc_new;
   for (size_t i = 0; i < dp_batch; ++i) {
     acc_new[i] = _mm256_add_ps(
         _mm512_castps512_ps256(accs[i]),
@@ -176,7 +176,7 @@ compute_one_to_many_avx2_fp16(
     const ailego::Float16 *query, const ailego::Float16 **ptrs,
     std::array<const ailego::Float16 *, dp_batch> &prefetch_ptrs,
     size_t dimensionality, float *results) {
-  std::vector<__m256> accs(dp_batch);
+  std::array<__m256, dp_batch> accs;
 
   for (size_t i = 0; i < dp_batch; ++i) {
     accs[i] = _mm256_setzero_ps();
@@ -190,8 +190,8 @@ compute_one_to_many_avx2_fp16(
     __m256 q1 = _mm256_cvtph_ps(_mm256_castsi256_si128(q));
     __m256 q2 = _mm256_cvtph_ps(_mm256_extractf128_si256(q, 1));
 
-    std::vector<__m256> data_regs_1(dp_batch);
-    std::vector<__m256> data_regs_2(dp_batch);
+    std::array<__m256, dp_batch> data_regs_1;
+    std::array<__m256, dp_batch> data_regs_2;
     for (size_t i = 0; i < dp_batch; ++i) {
       __m256i m =
           _mm256_loadu_si256(reinterpret_cast<const __m256i *>(ptrs[i] + dim));
@@ -216,7 +216,7 @@ compute_one_to_many_avx2_fp16(
     __m256 q = _mm256_cvtph_ps(
         _mm_loadu_si128(reinterpret_cast<const __m128i *>(query + dim)));
 
-    std::vector<__m256> data_regs(dp_batch);
+    std::array<__m256, dp_batch> data_regs;
     for (size_t i = 0; i < dp_batch; ++i) {
       data_regs[i] = _mm256_cvtph_ps(
           _mm_loadu_si128(reinterpret_cast<const __m128i *>(ptrs[i] + dim)));
diff --git a/src/ailego/math_batch/inner_product_distance_batch_impl_int8.h b/src/ailego/math_batch/inner_product_distance_batch_impl_int8.h
index 3c3721fb..2b1c612d 100644
--- a/src/ailego/math_batch/inner_product_distance_batch_impl_int8.h
+++ b/src/ailego/math_batch/inner_product_distance_batch_impl_int8.h
@@ -55,7 +55,7 @@ static void compute_one_to_many_avx512_vnni_int8(
     const int8_t *query, const int8_t **ptrs,
     std::array<const int8_t *, dp_batch> &prefetch_ptrs, size_t dimensionality,
     float *results) {
-  std::vector<__m512i> accs(dp_batch);
+  std::array<__m512i, dp_batch> accs;
   for (size_t i = 0; i < dp_batch; ++i) {
     accs[i] = _mm512_setzero_si512();
   }
@@ -63,7 +63,7 @@ static void compute_one_to_many_avx512_vnni_int8(
   for (; dim + 64 <= dimensionality; dim += 64) {
     __m512i q =
         _mm512_loadu_si512(reinterpret_cast<const __m512i *>(query + dim));
-    std::vector<__m512i> data_regs(dp_batch);
+    std::array<__m512i, dp_batch> data_regs;
     for (size_t i = 0; i < dp_batch; ++i) {
       data_regs[i] =
           _mm512_loadu_si512(reinterpret_cast<const __m512i *>(ptrs[i] + dim));
@@ -100,12 +100,12 @@ static void compute_one_to_many_avx512_vnni_int8(
 //     const int8_t *query, const int8_t **ptrs,
 //     std::array<const int8_t *, dp_batch> &prefetch_ptrs, size_t
 //     dimensionality, float *results) {
-//   std::vector<__m512i> accs(dp_batch);
+//   std::array<__m512i, dp_batch> accs;
 //   size_t dim = 0;
 //   for (; dim + 64 <= dimensionality; dim += 64) {
 //     __m512i q =
 //         _mm512_loadu_si512(reinterpret_cast<const __m512i *>(query + dim));
-//     std::vector<__m512i> data_regs(dp_batch);
+//     std::array<__m512i, dp_batch> data_regs;
 //     for (size_t i = 0; i < dp_batch; ++i) {
 //       data_regs[i] =
 //           _mm512_loadu_si512(reinterpret_cast<const __m512i *>(ptrs[i] +
@@ -118,16 +118,16 @@ static void compute_one_to_many_avx512_vnni_int8(
 //     }
 //     __m512i q_lo = _mm512_cvtepi8_epi16(_mm512_extracti64x4_epi64(q, 0));
 //     __m512i q_hi = _mm512_cvtepi8_epi16(_mm512_extracti64x4_epi64(q, 1));
-//     std::vector<__m512i> data_lo(dp_batch);
-//     std::vector<__m512i> data_hi(dp_batch);
+//     std::array<__m512i, dp_batch> data_lo;
+//     std::array<__m512i, dp_batch> data_hi;
 //     for (size_t i = 0; i < dp_batch; ++i) {
 //       data_lo[i] =
 //           _mm512_cvtepi8_epi16(_mm512_extracti64x4_epi64(data_regs[i], 0));
 //       data_hi[i] =
 //           _mm512_cvtepi8_epi16(_mm512_extracti64x4_epi64(data_regs[i], 1));
 //     }
-//     std::vector<__m512i> prod_lo(dp_batch);
-//     std::vector<__m512i> prod_hi(dp_batch);
+//     std::array<__m512i, dp_batch> prod_lo;
+//     std::array<__m512i, dp_batch> prod_hi;
 //     for (size_t i = 0; i < dp_batch; ++i) {
 //       prod_lo[i] = _mm512_madd_epi16(q_lo, data_lo[i]);
 //       prod_hi[i] = _mm512_madd_epi16(q_hi, data_hi[i]);
@@ -163,14 +163,14 @@ compute_one_to_many_avx2_int8(
     const int8_t *query, const int8_t **ptrs,
     std::array<const int8_t *, dp_batch> &prefetch_ptrs, size_t dimensionality,
     float *results) {
-  std::vector<__m256i> accs(dp_batch);
+  std::array<__m256i, dp_batch> accs;
   for (size_t i = 0; i < dp_batch; ++i) {
     accs[i] = _mm256_setzero_si256();
   }
   size_t dim = 0;
   for (; dim + 32 <= dimensionality; dim += 32) {
     __m256i q = _mm256_loadu_si256((const __m256i *)(query + dim));
-    std::vector<__m256i> data_regs(dp_batch);
+    std::array<__m256i, dp_batch> data_regs;
     for (size_t i = 0; i < dp_batch; ++i) {
       data_regs[i] = _mm256_loadu_si256((const __m256i *)(ptrs[i] + dim));
     }
@@ -181,15 +181,15 @@ compute_one_to_many_avx2_int8(
     }
     __m256i q_lo = _mm256_cvtepi8_epi16(_mm256_castsi256_si128(q));
     __m256i q_hi = _mm256_cvtepi8_epi16(_mm256_extracti128_si256(q, 1));
-    std::vector<__m256i> data_lo(dp_batch);
-    std::vector<__m256i> data_hi(dp_batch);
+    std::array<__m256i, dp_batch> data_lo;
+    std::array<__m256i, dp_batch> data_hi;
     for (size_t i = 0; i < dp_batch; ++i) {
       data_lo[i] = _mm256_cvtepi8_epi16(_mm256_castsi256_si128(data_regs[i]));
       data_hi[i] =
           _mm256_cvtepi8_epi16(_mm256_extracti128_si256(data_regs[i], 1));
     }
-    std::vector<__m256i> prod_lo(dp_batch);
-    std::vector<__m256i> prod_hi(dp_batch);
+    std::array<__m256i, dp_batch> prod_lo;
+    std::array<__m256i, dp_batch> prod_hi;
     for (size_t i = 0; i < dp_batch; ++i) {
       prod_lo[i] = _mm256_madd_epi16(q_lo, data_lo[i]);
       prod_hi[i] = _mm256_madd_epi16(q_hi, data_hi[i]);

From ef8e8c9d167a74760431bbc559d514c8935836ce Mon Sep 17 00:00:00 2001
From: Zefeng Yin <yinzefeng.yzf@alibaba-inc.com>
Date: Sat, 7 Mar 2026 03:20:21 +0800
Subject: [PATCH 2/4] clang-format

---
 src/ailego/algorithm/lloyd_cluster.h | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/ailego/algorithm/lloyd_cluster.h b/src/ailego/algorithm/lloyd_cluster.h
index 423693eb..1b28eeb9 100644
--- a/src/ailego/algorithm/lloyd_cluster.h
+++ b/src/ailego/algorithm/lloyd_cluster.h
@@ -15,8 +15,8 @@
 #pragma once
 
 #include <algorithm>
-#include <random>
 #include <array>
+#include <random>
 #include <ailego/parallel/lock.h>
 #include <zvec/ailego/parallel/thread_pool.h>
 #include <zvec/ailego/utility/type_helper.h>

From f7bc0934e713cdbb81034b3aa0b62267348d6d6c Mon Sep 17 00:00:00 2001
From: Zefeng Yin <yinzefeng.yzf@alibaba-inc.com>
Date: Sat, 7 Mar 2026 03:23:54 +0800
Subject: [PATCH 3/4] fix

---
 src/ailego/algorithm/lloyd_cluster.h | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/ailego/algorithm/lloyd_cluster.h b/src/ailego/algorithm/lloyd_cluster.h
index 1b28eeb9..d889271c 100644
--- a/src/ailego/algorithm/lloyd_cluster.h
+++ b/src/ailego/algorithm/lloyd_cluster.h
@@ -286,7 +286,7 @@ class LloydCluster {
 
   //! Cluster the matrix features
   void cluster_matrix_features(size_t first, size_t last) {
-    std::vector<float> scores(BatchCount * BatchCount, 0);
+    std::array<float, BatchCount * BatchCount> scores;
     ContainerType rows(centroids_matrix_.dimension());
 
     auto comp = [](float i, float j) {

From ed3e92350dc78d23c9ec989803fbf917da41d367 Mon Sep 17 00:00:00 2001
From: Zefeng Yin <yinzefeng.yzf@alibaba-inc.com>
Date: Sat, 7 Mar 2026 03:29:20 +0800
Subject: [PATCH 4/4] fix

---
 src/ailego/math_batch/inner_product_distance_batch_impl.h      | 2 +-
 src/ailego/math_batch/inner_product_distance_batch_impl_fp16.h | 2 +-
 src/ailego/math_batch/inner_product_distance_batch_impl_int8.h | 2 +-
 3 files changed, 3 insertions(+), 3 deletions(-)

diff --git a/src/ailego/math_batch/inner_product_distance_batch_impl.h b/src/ailego/math_batch/inner_product_distance_batch_impl.h
index 8dd8504d..d15a747e 100644
--- a/src/ailego/math_batch/inner_product_distance_batch_impl.h
+++ b/src/ailego/math_batch/inner_product_distance_batch_impl.h
@@ -14,7 +14,7 @@
 
 #pragma once
 
-#include <vector>
+#include <array>
 #include <ailego/math/inner_product_matrix.h>
 #include <ailego/utility/math_helper.h>
 #include <zvec/ailego/internal/platform.h>
diff --git a/src/ailego/math_batch/inner_product_distance_batch_impl_fp16.h b/src/ailego/math_batch/inner_product_distance_batch_impl_fp16.h
index b1aa7f5b..183369d7 100644
--- a/src/ailego/math_batch/inner_product_distance_batch_impl_fp16.h
+++ b/src/ailego/math_batch/inner_product_distance_batch_impl_fp16.h
@@ -14,7 +14,7 @@
 
 #pragma once
 
-#include <vector>
+#include <array>
 #include <ailego/math/matrix_utility.i>
 #include <ailego/utility/math_helper.h>
 #include <zvec/ailego/internal/platform.h>
diff --git a/src/ailego/math_batch/inner_product_distance_batch_impl_int8.h b/src/ailego/math_batch/inner_product_distance_batch_impl_int8.h
index 2b1c612d..0e236641 100644
--- a/src/ailego/math_batch/inner_product_distance_batch_impl_int8.h
+++ b/src/ailego/math_batch/inner_product_distance_batch_impl_int8.h
@@ -14,7 +14,7 @@
 
 #pragma once
 
-#include <vector>
+#include <array>
 #include <ailego/utility/math_helper.h>
 #include <zvec/ailego/internal/platform.h>
 #include <zvec/ailego/utility/type_helper.h>