diff --git a/hal/ipp/include/ipp_hal_core.hpp b/hal/ipp/include/ipp_hal_core.hpp
index 359764a7bf..ae0bb729a0 100644
--- a/hal/ipp/include/ipp_hal_core.hpp
+++ b/hal/ipp/include/ipp_hal_core.hpp
@@ -35,6 +35,14 @@ int ipp_hal_minMaxIdxMaskStep(const uchar* src_data, size_t src_step, int width,
 # define IPP_DISABLE_NORM_INF_16U_C1MR   0
 #endif
 
+// segmentation fault in ippiNorm[Diff]_Inf_32f_C3CMR with the macOS ippicv (2021.9.1);
+// the newer Linux/Windows ippicv (2026.0.0) is not affected
+#if defined(__APPLE__)
+# define IPP_DISABLE_NORM_INF_32F_C3CMR  1
+# else
+# define IPP_DISABLE_NORM_INF_32F_C3CMR  0
+#endif
+
 int ipp_hal_norm(const uchar* src, size_t src_step, const uchar* mask, size_t mask_step,
                  int width, int height, int type, int norm_type, double* result);
 
diff --git a/hal/ipp/src/norm_ipp.cpp b/hal/ipp/src/norm_ipp.cpp
index de555a973e..7ce8a7bcae 100644
--- a/hal/ipp/src/norm_ipp.cpp
+++ b/hal/ipp/src/norm_ipp.cpp
@@ -50,7 +50,9 @@ int ipp_hal_norm(const uchar* src, size_t src_step, const uchar* mask, size_t ma
         norm_type == cv::NORM_INF ?
         (type == CV_8UC3 ? (ippiMaskNormFuncC3)ippiNorm_Inf_8u_C3CMR :
         type == CV_16UC3 ? (ippiMaskNormFuncC3)ippiNorm_Inf_16u_C3CMR :
+        #if (!IPP_DISABLE_NORM_INF_32F_C3CMR)
         type == CV_32FC3 ? (ippiMaskNormFuncC3)ippiNorm_Inf_32f_C3CMR :
+        #endif
         0) :
         norm_type == cv::NORM_L1 ?
         (type == CV_8UC3 ? (ippiMaskNormFuncC3)ippiNorm_L1_8u_C3CMR :
@@ -265,7 +267,9 @@ int ipp_hal_normDiff(const uchar* src1, size_t src1_step, const uchar* src2, siz
         norm_type == cv::NORM_INF ?
         (type == CV_8UC3 ? (ippiMaskNormDiffFuncC3)ippiNormDiff_Inf_8u_C3CMR :
         type == CV_16UC3 ? (ippiMaskNormDiffFuncC3)ippiNormDiff_Inf_16u_C3CMR :
+        #if (!IPP_DISABLE_NORM_INF_32F_C3CMR)
         type == CV_32FC3 ? (ippiMaskNormDiffFuncC3)ippiNormDiff_Inf_32f_C3CMR :
+        #endif
         0) :
         norm_type == cv::NORM_L1 ?
         (type == CV_8UC3 ? (ippiMaskNormDiffFuncC3)ippiNormDiff_L1_8u_C3CMR :
diff --git a/modules/core/perf/perf_arithm.cpp b/modules/core/perf/perf_arithm.cpp
index d8b65e1a08..8877f792a5 100644
--- a/modules/core/perf/perf_arithm.cpp
+++ b/modules/core/perf/perf_arithm.cpp
@@ -526,7 +526,7 @@ PERF_TEST_P_(BinaryOpTest, transposeND_generic_move_tail_order)
 INSTANTIATE_TEST_CASE_P(/*nothing*/ , BinaryOpTest,
     testing::Combine(
         testing::Values(szVGA, sz720p, sz1080p),
-        testing::Values(CV_8UC1, CV_8UC3, CV_8UC4, CV_8SC1, CV_16SC1, CV_16SC2, CV_16SC3, CV_16SC4, CV_32SC1, CV_32FC1)
+        testing::Values(CV_8UC1, CV_8UC3, CV_8UC4, CV_8SC1, CV_16UC1, CV_16SC1, CV_16SC2, CV_16SC3, CV_16SC4, CV_32SC1, CV_32FC1, CV_64FC1)
     )
 );
 
diff --git a/modules/core/perf/perf_compare.cpp b/modules/core/perf/perf_compare.cpp
index be706e1a83..2b595a79da 100644
--- a/modules/core/perf/perf_compare.cpp
+++ b/modules/core/perf/perf_compare.cpp
@@ -35,7 +35,7 @@ PERF_TEST_P( Size_MatType_CmpType, compare,
 PERF_TEST_P( Size_MatType_CmpType, compareScalar,
              testing::Combine(
                  testing::Values(TYPICAL_MAT_SIZES),
-                 testing::Values(TYPICAL_MAT_TYPES),
+                 testing::Values(CV_8UC1, CV_8UC4, CV_16UC1, CV_16SC1, CV_32FC1),
                  CmpType::all()
                  )
              )
diff --git a/modules/core/perf/perf_dot.cpp b/modules/core/perf/perf_dot.cpp
index 1230220a4c..441ab652bf 100644
--- a/modules/core/perf/perf_dot.cpp
+++ b/modules/core/perf/perf_dot.cpp
@@ -9,7 +9,7 @@ typedef TestBaseWithParam<MatType_Length_t> MatType_Length;
 
 PERF_TEST_P( MatType_Length, dot,
              testing::Combine(
-                 testing::Values( CV_8UC1, CV_8SC1, CV_16SC1, CV_16UC1, CV_32SC1, CV_32FC1 ),
+                 testing::Values( CV_8UC1, CV_8SC1, CV_16SC1, CV_16UC1, CV_32SC1, CV_32FC1, CV_64FC1 ),
                  testing::Values( 32, 64, 128, 256, 512, 1024 )
                  ))
 {
diff --git a/modules/core/perf/perf_flip.cpp b/modules/core/perf/perf_flip.cpp
index 6e89cd6e9a..2229bc2311 100644
--- a/modules/core/perf/perf_flip.cpp
+++ b/modules/core/perf/perf_flip.cpp
@@ -15,7 +15,7 @@ enum
 };
 
 #define FLIP_SIZES szQVGA, szVGA, sz1080p
-#define FLIP_TYPES CV_8UC1, CV_8UC2, CV_8UC3, CV_8UC4, CV_8SC1, CV_16SC1, CV_16SC2, CV_16SC3, CV_16SC4, CV_32SC1, CV_32FC1
+#define FLIP_TYPES CV_8UC1, CV_8UC2, CV_8UC3, CV_8UC4, CV_8SC1, CV_16SC1, CV_16SC2, CV_16SC3, CV_16SC4, CV_32SC1, CV_32FC1, CV_32FC3, CV_32FC4
 #define FLIP_CODES FLIP_X, FLIP_Y, FLIP_XY
 
 CV_FLAGS(FlipCode, FLIP_X, FLIP_Y, FLIP_XY);
diff --git a/modules/core/perf/perf_mat.cpp b/modules/core/perf/perf_mat.cpp
index 277eb92c21..a10e6cb382 100644
--- a/modules/core/perf/perf_mat.cpp
+++ b/modules/core/perf/perf_mat.cpp
@@ -99,7 +99,7 @@ PERF_TEST_P(Size_MatType, Mat_Clone_Roi,
 
 PERF_TEST_P(Size_MatType, Mat_CopyToWithMask,
             testing::Combine(testing::Values(::perf::sz1080p, ::perf::szODD),
-                             testing::Values(CV_8UC1, CV_8UC2, CV_8UC3, CV_16UC1, CV_16UC3, CV_32SC1, CV_32SC2, CV_32FC4))
+                             testing::Values(CV_8UC1, CV_8UC2, CV_8UC3, CV_16UC1, CV_16UC3, CV_32SC1, CV_32SC2, CV_32FC3, CV_32FC4))
             )
 {
     const Size_MatType_t params = GetParam();
@@ -119,7 +119,7 @@ PERF_TEST_P(Size_MatType, Mat_CopyToWithMask,
 
 PERF_TEST_P(Size_MatType, Mat_SetToWithMask,
             testing::Combine(testing::Values(TYPICAL_MAT_SIZES),
-                             testing::Values(CV_8UC1, CV_8UC2))
+                             testing::Values(CV_8UC1, CV_8UC2, CV_8UC3, CV_8UC4, CV_16UC3, CV_16UC4, CV_32FC3, CV_32FC4))
             )
 {
     const Size_MatType_t params = GetParam();
diff --git a/modules/core/perf/perf_norm.cpp b/modules/core/perf/perf_norm.cpp
index c47398f8fc..ab3f98fa50 100644
--- a/modules/core/perf/perf_norm.cpp
+++ b/modules/core/perf/perf_norm.cpp
@@ -15,7 +15,7 @@ PERF_TEST_P(Size_MatType_NormType, norm,
             testing::Combine(
                 testing::Values(TYPICAL_MAT_SIZES),
                 testing::Values(CV_8UC1, CV_8UC4, CV_8SC1, CV_16UC1, CV_16SC1, CV_32SC1, CV_32FC1, CV_64FC1),
-                testing::Values((int)NORM_INF, (int)NORM_L1, (int)NORM_L2)
+                testing::Values((int)NORM_INF, (int)NORM_L1, (int)NORM_L2, (int)NORM_L2SQR)
                 )
             )
 {
@@ -36,8 +36,8 @@ PERF_TEST_P(Size_MatType_NormType, norm,
 PERF_TEST_P(Size_MatType_NormType, norm_mask,
             testing::Combine(
                 testing::Values(TYPICAL_MAT_SIZES),
-                testing::Values(CV_8UC1, CV_8UC4, CV_8SC1, CV_16UC1, CV_16SC1, CV_32SC1, CV_32FC1, CV_64FC1),
-                testing::Values((int)NORM_INF, (int)NORM_L1, (int)NORM_L2)
+                testing::Values(CV_8UC1, CV_8UC3, CV_8UC4, CV_8SC1, CV_16UC1, CV_16UC3, CV_16SC1, CV_32SC1, CV_32FC1, CV_32FC3, CV_64FC1),
+                testing::Values((int)NORM_INF, (int)NORM_L1, (int)NORM_L2, (int)NORM_L2SQR)
                 )
             )
 {
@@ -60,7 +60,7 @@ PERF_TEST_P(Size_MatType_NormType, norm2,
             testing::Combine(
                 testing::Values(TYPICAL_MAT_SIZES),
                 testing::Values(CV_8UC1, CV_8UC4, CV_8SC1, CV_16UC1, CV_16SC1, CV_32SC1, CV_32FC1, CV_64FC1),
-                testing::Values((int)NORM_INF, (int)NORM_L1, (int)NORM_L2, (int)(NORM_RELATIVE+NORM_INF), (int)(NORM_RELATIVE+NORM_L1), (int)(NORM_RELATIVE+NORM_L2))
+                testing::Values((int)NORM_INF, (int)NORM_L1, (int)NORM_L2, (int)NORM_L2SQR, (int)(NORM_RELATIVE+NORM_INF), (int)(NORM_RELATIVE+NORM_L1), (int)(NORM_RELATIVE+NORM_L2), (int)(NORM_RELATIVE+NORM_L2SQR))
                 )
             )
 {
@@ -82,8 +82,8 @@ PERF_TEST_P(Size_MatType_NormType, norm2,
 PERF_TEST_P(Size_MatType_NormType, norm2_mask,
             testing::Combine(
                 testing::Values(TYPICAL_MAT_SIZES),
-                testing::Values(CV_8UC1, CV_8UC4, CV_8SC1, CV_16UC1, CV_16SC1, CV_32SC1, CV_32FC1, CV_64FC1),
-                testing::Values((int)NORM_INF, (int)NORM_L1, (int)NORM_L2, (int)(NORM_RELATIVE|NORM_INF), (int)(NORM_RELATIVE|NORM_L1), (int)(NORM_RELATIVE|NORM_L2))
+                testing::Values(CV_8UC1, CV_8UC3, CV_8UC4, CV_8SC1, CV_16UC1, CV_16UC3, CV_16SC1, CV_32SC1, CV_32FC1, CV_32FC3, CV_64FC1),
+                testing::Values((int)NORM_INF, (int)NORM_L1, (int)NORM_L2, (int)NORM_L2SQR, (int)(NORM_RELATIVE|NORM_INF), (int)(NORM_RELATIVE|NORM_L1), (int)(NORM_RELATIVE|NORM_L2), (int)(NORM_RELATIVE|NORM_L2SQR))
                 )
             )
 {
diff --git a/modules/core/perf/perf_sort.cpp b/modules/core/perf/perf_sort.cpp
index 98056901ae..90e99a48e5 100644
--- a/modules/core/perf/perf_sort.cpp
+++ b/modules/core/perf/perf_sort.cpp
@@ -5,7 +5,7 @@ namespace opencv_test
 using namespace perf;
 
 #define TYPICAL_MAT_SIZES_SORT  TYPICAL_MAT_SIZES
-#define TYPICAL_MAT_TYPES_SORT  CV_8UC1, CV_16UC1, CV_32FC1
+#define TYPICAL_MAT_TYPES_SORT  CV_8UC1, CV_16UC1, CV_16SC1, CV_32SC1, CV_32FC1, CV_64FC1
 #define SORT_TYPES              SORT_EVERY_ROW | SORT_ASCENDING, SORT_EVERY_ROW | SORT_DESCENDING
 #define TYPICAL_MATS_SORT       testing::Combine( testing::Values(TYPICAL_MAT_SIZES_SORT), testing::Values(TYPICAL_MAT_TYPES_SORT), testing::Values(SORT_TYPES) )
 
diff --git a/modules/core/perf/perf_stat.cpp b/modules/core/perf/perf_stat.cpp
index 8846475844..3f33f7f7db 100644
--- a/modules/core/perf/perf_stat.cpp
+++ b/modules/core/perf/perf_stat.cpp
@@ -4,7 +4,13 @@ namespace opencv_test
 {
 using namespace perf;
 
-PERF_TEST_P(Size_MatType, sum, TYPICAL_MATS)
+// Masked variants: 8U/16U/32F x C1/C3/C4.
+#define TYPICAL_MAT_TYPES_STAT_MASK CV_8UC1, CV_8UC3, CV_8UC4, CV_16UC1, CV_16UC3, CV_16UC4, CV_32FC1, CV_32FC3, CV_32FC4
+// sum/mean/meanStdDev additionally cover 16S.
+#define TYPICAL_MAT_TYPES_STAT      TYPICAL_MAT_TYPES_STAT_MASK, CV_16SC1, CV_16SC3, CV_16SC4
+
+PERF_TEST_P(Size_MatType, sum, testing::Combine( testing::Values( TYPICAL_MAT_SIZES ),
+                testing::Values( TYPICAL_MAT_TYPES_STAT ) ))
 {
     Size sz = get<0>(GetParam());
     int type = get<1>(GetParam());
@@ -19,7 +25,8 @@ PERF_TEST_P(Size_MatType, sum, TYPICAL_MATS)
     SANITY_CHECK(s, 1e-6, ERROR_RELATIVE);
 }
 
-PERF_TEST_P(Size_MatType, mean, TYPICAL_MATS)
+PERF_TEST_P(Size_MatType, mean, testing::Combine( testing::Values( TYPICAL_MAT_SIZES ),
+                testing::Values( TYPICAL_MAT_TYPES_STAT ) ))
 {
     Size sz = get<0>(GetParam());
     int type = get<1>(GetParam());
@@ -34,7 +41,8 @@ PERF_TEST_P(Size_MatType, mean, TYPICAL_MATS)
     SANITY_CHECK(s, 1e-5);
 }
 
-PERF_TEST_P(Size_MatType, mean_mask, TYPICAL_MATS)
+PERF_TEST_P(Size_MatType, mean_mask, testing::Combine( testing::Values( TYPICAL_MAT_SIZES ),
+                testing::Values( TYPICAL_MAT_TYPES_STAT_MASK ) ))
 {
     Size sz = get<0>(GetParam());
     int type = get<1>(GetParam());
@@ -50,7 +58,8 @@ PERF_TEST_P(Size_MatType, mean_mask, TYPICAL_MATS)
     SANITY_CHECK(s, 5e-5);
 }
 
-PERF_TEST_P(Size_MatType, meanStdDev, TYPICAL_MATS)
+PERF_TEST_P(Size_MatType, meanStdDev, testing::Combine( testing::Values( TYPICAL_MAT_SIZES ),
+                testing::Values( TYPICAL_MAT_TYPES_STAT_MASK ) ))
 {
     Size sz = get<0>(GetParam());
     int matType = get<1>(GetParam());
@@ -67,7 +76,8 @@ PERF_TEST_P(Size_MatType, meanStdDev, TYPICAL_MATS)
     SANITY_CHECK(dev, 1e-5, ERROR_RELATIVE);
 }
 
-PERF_TEST_P(Size_MatType, meanStdDev_mask, TYPICAL_MATS)
+PERF_TEST_P(Size_MatType, meanStdDev_mask, testing::Combine( testing::Values( TYPICAL_MAT_SIZES ),
+                testing::Values( TYPICAL_MAT_TYPES_STAT_MASK ) ))
 {
     Size sz = get<0>(GetParam());
     int matType = get<1>(GetParam());