diff --git a/cblas.h b/cblas.h
index 4bc5588d8..3c938553d 100644
--- a/cblas.h
+++ b/cblas.h
@@ -382,6 +382,17 @@ void cblas_cgeadd(OPENBLAS_CONST enum CBLAS_ORDER CORDER,OPENBLAS_CONST blasint
 void cblas_zgeadd(OPENBLAS_CONST enum CBLAS_ORDER CORDER,OPENBLAS_CONST blasint crows, OPENBLAS_CONST blasint ccols, OPENBLAS_CONST double *calpha, double *a, OPENBLAS_CONST blasint clda, OPENBLAS_CONST double *cbeta, 
 		  double *c, OPENBLAS_CONST blasint cldc); 
 
+void cblas_sgemm_batch(OPENBLAS_CONST enum CBLAS_ORDER Order, OPENBLAS_CONST enum CBLAS_TRANSPOSE * TransA_array, OPENBLAS_CONST enum CBLAS_TRANSPOSE * TransB_array, OPENBLAS_CONST blasint * M_array, OPENBLAS_CONST blasint * N_array, OPENBLAS_CONST blasint * K_array,
+		       OPENBLAS_CONST float * alpha_array, OPENBLAS_CONST float ** A_array, OPENBLAS_CONST blasint * lda_array, OPENBLAS_CONST float ** B_array, OPENBLAS_CONST blasint * ldb_array, OPENBLAS_CONST float * beta_array, float ** C_array, OPENBLAS_CONST blasint * ldc_array, OPENBLAS_CONST blasint group_count, OPENBLAS_CONST blasint * group_size);
+
+void cblas_dgemm_batch(OPENBLAS_CONST enum CBLAS_ORDER Order, OPENBLAS_CONST enum CBLAS_TRANSPOSE * TransA_array, OPENBLAS_CONST enum CBLAS_TRANSPOSE * TransB_array, OPENBLAS_CONST blasint * M_array, OPENBLAS_CONST blasint * N_array, OPENBLAS_CONST blasint * K_array,
+		       OPENBLAS_CONST double * alpha_array, OPENBLAS_CONST double ** A_array, OPENBLAS_CONST blasint * lda_array, OPENBLAS_CONST double ** B_array, OPENBLAS_CONST blasint * ldb_array, OPENBLAS_CONST double * beta_array, double ** C_array, OPENBLAS_CONST blasint * ldc_array, OPENBLAS_CONST blasint group_count, OPENBLAS_CONST blasint * group_size);
+
+void cblas_cgemm_batch(OPENBLAS_CONST enum CBLAS_ORDER Order, OPENBLAS_CONST enum CBLAS_TRANSPOSE * TransA_array, OPENBLAS_CONST enum CBLAS_TRANSPOSE * TransB_array, OPENBLAS_CONST blasint * M_array, OPENBLAS_CONST blasint * N_array, OPENBLAS_CONST blasint * K_array,
+		       OPENBLAS_CONST void * alpha_array, OPENBLAS_CONST void ** A_array, OPENBLAS_CONST blasint * lda_array, OPENBLAS_CONST void ** B_array, OPENBLAS_CONST blasint * ldb_array, OPENBLAS_CONST void * beta_array, void ** C_array, OPENBLAS_CONST blasint * ldc_array, OPENBLAS_CONST blasint group_count, OPENBLAS_CONST blasint * group_size);
+
+void cblas_zgemm_batch(OPENBLAS_CONST enum CBLAS_ORDER Order, OPENBLAS_CONST enum CBLAS_TRANSPOSE * TransA_array, OPENBLAS_CONST enum CBLAS_TRANSPOSE * TransB_array, OPENBLAS_CONST blasint * M_array, OPENBLAS_CONST blasint * N_array, OPENBLAS_CONST blasint * K_array,
+		       OPENBLAS_CONST void * alpha_array, OPENBLAS_CONST void ** A_array, OPENBLAS_CONST blasint * lda_array, OPENBLAS_CONST void ** B_array, OPENBLAS_CONST blasint * ldb_array, OPENBLAS_CONST void * beta_array, void ** C_array, OPENBLAS_CONST blasint * ldc_array, OPENBLAS_CONST blasint group_count, OPENBLAS_CONST blasint * group_size);
 
 #ifdef __cplusplus
 }
diff --git a/common_level3.h b/common_level3.h
index 1528e0134..70f7df2c5 100644
--- a/common_level3.h
+++ b/common_level3.h
@@ -1919,6 +1919,10 @@ int dgeadd_k(BLASLONG, BLASLONG, double, double*, BLASLONG, double, double *, BL
 int cgeadd_k(BLASLONG, BLASLONG, float, float, float*, BLASLONG, float, float, float *, BLASLONG); 
 int zgeadd_k(BLASLONG, BLASLONG, double,double, double*, BLASLONG, double, double, double *, BLASLONG); 
 
+int sgemm_batch_thread(blas_arg_t * queue, BLASLONG nums);
+int dgemm_batch_thread(blas_arg_t * queue, BLASLONG nums);
+int cgemm_batch_thread(blas_arg_t * queue, BLASLONG nums);
+int zgemm_batch_thread(blas_arg_t * queue, BLASLONG nums);
 
 #ifdef __CUDACC__
 }
diff --git a/common_macro.h b/common_macro.h
index 1762650bb..3f6d31809 100644
--- a/common_macro.h
+++ b/common_macro.h
@@ -2636,7 +2636,17 @@ typedef struct {
   BLASLONG prea, preb, prec, pred;
 #endif
 
+  //for gemm_batch
+  void * routine;
+  int routine_mode;
+
 } blas_arg_t;
+
+#ifdef SMALL_MATRIX_OPT
+#define BLAS_SMALL_OPT  0x10000U
+#define BLAS_SMALL_B0_OPT  0x30000U
+#endif
+
 #endif
 
 #ifdef XDOUBLE
diff --git a/driver/level3/Makefile b/driver/level3/Makefile
index 09a62d9bf..141b66e82 100644
--- a/driver/level3/Makefile
+++ b/driver/level3/Makefile
@@ -37,7 +37,7 @@ SBLASOBJS	+= \
 	ssyrk_UN.$(SUFFIX) ssyrk_UT.$(SUFFIX) ssyrk_LN.$(SUFFIX) ssyrk_LT.$(SUFFIX) \
 	ssyr2k_UN.$(SUFFIX) ssyr2k_UT.$(SUFFIX) ssyr2k_LN.$(SUFFIX) ssyr2k_LT.$(SUFFIX) \
 	ssyrk_kernel_U.$(SUFFIX)  ssyrk_kernel_L.$(SUFFIX) \
-	ssyr2k_kernel_U.$(SUFFIX) ssyr2k_kernel_L.$(SUFFIX)
+	ssyr2k_kernel_U.$(SUFFIX) ssyr2k_kernel_L.$(SUFFIX) sgemm_batch_thread.$(SUFFIX)
 
 DBLASOBJS	+= \
 	dgemm_nn.$(SUFFIX) dgemm_nt.$(SUFFIX) dgemm_tn.$(SUFFIX) dgemm_tt.$(SUFFIX) \
@@ -53,7 +53,7 @@ DBLASOBJS	+= \
 	dsyrk_UN.$(SUFFIX) dsyrk_UT.$(SUFFIX) dsyrk_LN.$(SUFFIX) dsyrk_LT.$(SUFFIX) \
 	dsyr2k_UN.$(SUFFIX) dsyr2k_UT.$(SUFFIX) dsyr2k_LN.$(SUFFIX) dsyr2k_LT.$(SUFFIX) \
 	dsyrk_kernel_U.$(SUFFIX)  dsyrk_kernel_L.$(SUFFIX) \
-	dsyr2k_kernel_U.$(SUFFIX) dsyr2k_kernel_L.$(SUFFIX)
+	dsyr2k_kernel_U.$(SUFFIX) dsyr2k_kernel_L.$(SUFFIX) dgemm_batch_thread.$(SUFFIX)
 
 QBLASOBJS	+= \
 	qgemm_nn.$(SUFFIX) qgemm_nt.$(SUFFIX) qgemm_tn.$(SUFFIX) qgemm_tt.$(SUFFIX) \
@@ -103,7 +103,7 @@ CBLASOBJS	+= \
 	cherk_kernel_LN.$(SUFFIX)  cherk_kernel_LC.$(SUFFIX) \
 	csyr2k_kernel_U.$(SUFFIX)  csyr2k_kernel_L.$(SUFFIX) \
 	cher2k_kernel_UN.$(SUFFIX) cher2k_kernel_UC.$(SUFFIX) \
-	cher2k_kernel_LN.$(SUFFIX) cher2k_kernel_LC.$(SUFFIX)
+	cher2k_kernel_LN.$(SUFFIX) cher2k_kernel_LC.$(SUFFIX) cgemm_batch_thread.$(SUFFIX)
 
 ZBLASOBJS	+= \
 	zgemm_nn.$(SUFFIX) zgemm_cn.$(SUFFIX) zgemm_tn.$(SUFFIX) zgemm_nc.$(SUFFIX) \
@@ -137,7 +137,7 @@ ZBLASOBJS	+= \
 	zherk_kernel_LN.$(SUFFIX)  zherk_kernel_LC.$(SUFFIX) \
 	zsyr2k_kernel_U.$(SUFFIX)  zsyr2k_kernel_L.$(SUFFIX) \
 	zher2k_kernel_UN.$(SUFFIX) zher2k_kernel_UC.$(SUFFIX) \
-	zher2k_kernel_LN.$(SUFFIX) zher2k_kernel_LC.$(SUFFIX)
+	zher2k_kernel_LN.$(SUFFIX) zher2k_kernel_LC.$(SUFFIX) zgemm_batch_thread.$(SUFFIX)
 
 
 XBLASOBJS	+= \
@@ -2888,6 +2888,18 @@ gemm_thread_variable.$(PSUFFIX) : gemm_thread_variable.c ../../common.h
 beta_thread.$(PSUFFIX) : beta_thread.c ../../common.h
 	$(CC) -c $(PFLAGS) $< -o $(@F)
 
+sgemm_batch_thread.$(SUFFIX) : gemm_batch_thread.c ../../common.h
+	$(CC) -c $(CFLAGS) $< -o $(@F)
+
+dgemm_batch_thread.$(SUFFIX) : gemm_batch_thread.c ../../common.h
+	$(CC) -c $(CFLAGS) $< -o $(@F)
+
+cgemm_batch_thread.$(SUFFIX) : gemm_batch_thread.c ../../common.h
+	$(CC) -c $(CFLAGS) $< -o $(@F)
+
+zgemm_batch_thread.$(SUFFIX) : gemm_batch_thread.c ../../common.h
+	$(CC) -c $(CFLAGS) $< -o $(@F)
+
 
 shgemm_thread_nn.$(PSUFFIX) : gemm.c level3_thread.c ../../param.h
 	$(CC) $(PFLAGS) $(BLOCKS) -c -DTHREADED_LEVEL3 -DHALF -UDOUBLE -UCOMPLEX -DNN $< -o $(@F)
diff --git a/driver/level3/gemm_batch_thread.c b/driver/level3/gemm_batch_thread.c
new file mode 100644
index 000000000..8e0b77c75
--- /dev/null
+++ b/driver/level3/gemm_batch_thread.c
@@ -0,0 +1,151 @@
+/*****************************************************************************
+Copyright (c) 2020, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of 
+      its contributors may be used to endorse or promote products 
+      derived from this software without specific prior written 
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include "common.h"
+
+void openblas_warning(int verbose, const char * msg);
+
+#ifdef SMALL_MATRIX_OPT
+static int inner_small_matrix_thread(blas_arg_t *args, BLASLONG *range_m, BLASLONG *range_n, IFLOAT *sa, IFLOAT *sb, BLASLONG mypos){
+  int routine_mode;
+#ifndef COMPLEX
+  int (*gemm_small_kernel)(BLASLONG, BLASLONG, BLASLONG, FLOAT *, BLASLONG, FLOAT ,FLOAT *, BLASLONG, FLOAT, FLOAT *, BLASLONG);
+  int (*gemm_small_kernel_b0)(BLASLONG, BLASLONG, BLASLONG, FLOAT *, BLASLONG, FLOAT, FLOAT *, BLASLONG, FLOAT *, BLASLONG);
+#else
+  int (*zgemm_small_kernel)(BLASLONG, BLASLONG, BLASLONG, FLOAT *, BLASLONG, FLOAT , FLOAT, FLOAT *, BLASLONG, FLOAT , FLOAT, FLOAT *, BLASLONG);
+  int (*zgemm_small_kernel_b0)(BLASLONG, BLASLONG, BLASLONG, FLOAT *, BLASLONG, FLOAT , FLOAT, FLOAT *, BLASLONG, FLOAT *, BLASLONG);
+  FLOAT alpha[2], beta[2];
+#endif
+  routine_mode=args.routine_mode;
+  if(routine_mode & BLAS_SMALL_B0_OPT){
+#ifndef COMPLEX
+    gemm_small_kernel_b0=args.routine;
+    gemm_small_kernel_b0(args.m, args.n, args.k, args.a, args.lda, *(FLOAT *)(args.alpha), args.b, args.ldb, args.c, args.ldc);
+#else
+    zgemm_small_kernel_b0=args.routine;
+    alpha[0]=(FLOAT *)(args.alpha)[0];
+    alpha[1]=(FLOAT *)(args.alpha)[1];
+    zgemm_small_kernel_b0(args.m, args.n, args.k, args.a, args.lda, alpha[0], alpha[1], args.b, args.ldb, args.c, args.ldc);
+#endif
+  }else if(routine_mode & BLAS_SMALL_OPT){
+#ifndef COMPLEX
+    gemm_small_kernel=args.routine;
+    gemm_small_kernel(args.m, args.n, args.k, args.a, args.lda, *(FLOAT *)(args.alpha), args.b, args.ldb, *(FLOAT *)(args.beta), args.c, args.ldc);
+#else
+    zgemm_small_kernel=args.routine;
+    alpha[0]=(FLOAT *)(args.alpha)[0];
+    alpha[1]=(FLOAT *)(args.alpha)[1];
+    beta[0]=(FLOAT *)(args.beta)[0];
+    beta[1]=(FLOAT *)(args.beta)[1];    
+    zgemm_small_kernel(args.m, args.n, args.k, args.a, args.lda, alpha[0], alpha[1], args.b, args.ldb, beta[0], beta[1], args.c, args.ldc);
+#endif    
+  }
+}
+#endif
+
+int CNAME(blas_arg_t * args_array, BLASLONG nums){
+  XFLOAT *buffer;
+  XFLOAT *sa, *sb;
+  int nthreads=1;
+  int (*routine)(blas_arg_t *, void *, void *, double *, double *, BLASLONG);
+  int i=0, j, current_nums;
+
+#ifdef SMP
+  blas_queue_t * queue=NULL;
+#endif
+  
+  if(nums <=0 ) return 0;
+
+  buffer = (XFLOAT *)blas_memory_alloc(0);
+  sa = (XFLOAT *)((BLASLONG)buffer +GEMM_OFFSET_A);
+  sb = (XFLOAT *)(((BLASLONG)sa + ((GEMM_P * GEMM_Q * COMPSIZE * SIZE + GEMM_ALIGN) & ~GEMM_ALIGN)) + GEMM_OFFSET_B);
+  
+#ifdef SMP
+  nthreads=num_cpu_avail(3);
+
+  if(nthreads==1){
+#endif
+    //single thread
+    for(i=0; i<nums; i++){
+      routine=args_array[i].routine;
+#ifdef SMALL_MATRIX_OPT
+      if(args_array[i].routine_mode & BLAS_SMALL_OPT){
+	inner_small_matrix_thread(&args_array[i], NULL, NULL, NULL, NULL, 0);
+      }else{
+#endif      
+	routine(&args_array[i], NULL, NULL, sa, sb, 0);
+#ifdef SMALL_MATRIX_OPT
+      }
+#endif
+    }
+#ifdef SMP
+  } else {
+    //multi thread
+    queue=(blas_queue_t *)malloc((nums+1) * sizeof(blas_queue_t));
+    if(queue == NULL){
+      openblas_warning(0, "memory alloc failed!\n");
+      exit(1);
+    }
+    for(i=0; i<nums; i++){
+      queue[i].args=&args_array[i];
+      queue[i].range_m=NULL;
+      queue[i].range_n=NULL;
+      queue[i].sa=NULL;
+      queue[i].sb=NULL;
+      queue[i].next=&queue[i+1];
+
+      queue[i].mode=args_array[i].routine_mode;
+      queue[i].routine=args_array[i].routine;
+      
+#ifdef SMALL_MATRIX_OPT
+      if(args_array[i].routine_mode & BLAS_SMALL_OPT){
+	queue[i].routine=inner_small_matrix_thread;
+      }
+#endif
+    }
+    
+    for(i=0; i<nums; i+=nthreads){
+      current_nums=((nums-i)>nthreads)? nthreads: (nums-i);
+
+      queue[i].sa=sa;
+      queue[i].sb=sb;
+      queue[i+current_nums-1].next=NULL;
+      
+      exec_blas(current_nums, &queue[i]);
+    }
+    free(queue);
+  }
+#endif
+  blas_memory_free(buffer);
+  return 0;
+}
diff --git a/exports/gensymbol b/exports/gensymbol
index 73b4be248..e8b992c51 100644
--- a/exports/gensymbol
+++ b/exports/gensymbol
@@ -81,6 +81,7 @@
     cblas_ismin, cblas_idmin, cblas_icmin, cblas_izmin,
     cblas_ismax, cblas_idmax, cblas_icmax, cblas_izmax,
     cblas_ssum, cblas_dsum, cblas_scsum, cblas_dzsum,
+    cblas_sgemm_batch, cblas_dgemm_batch, cblas_cgemm_batch, cblas_zgemm_batch,
     cblas_xerbla
 );
 
diff --git a/interface/Makefile b/interface/Makefile
index 2dbd60073..c10741865 100644
--- a/interface/Makefile
+++ b/interface/Makefile
@@ -278,7 +278,7 @@ CSBLAS2OBJS   = \
 CSBLAS3OBJS   = \
 	cblas_sgemm.$(SUFFIX) cblas_ssymm.$(SUFFIX) cblas_strmm.$(SUFFIX) cblas_strsm.$(SUFFIX) \
 	cblas_ssyrk.$(SUFFIX) cblas_ssyr2k.$(SUFFIX) cblas_somatcopy.$(SUFFIX)  cblas_simatcopy.$(SUFFIX)\
-	cblas_sgeadd.$(SUFFIX)
+	cblas_sgeadd.$(SUFFIX) cblas_sgemm_batch.$(SUFFIX)
 
 ifeq ($(BUILD_HALF),1)
 CSHBLAS3OBJS = cblas_shgemm.$(SUFFIX)
@@ -300,7 +300,7 @@ CDBLAS2OBJS   = \
 CDBLAS3OBJS   += \
 	cblas_dgemm.$(SUFFIX) cblas_dsymm.$(SUFFIX) cblas_dtrmm.$(SUFFIX) cblas_dtrsm.$(SUFFIX) \
 	cblas_dsyrk.$(SUFFIX) cblas_dsyr2k.$(SUFFIX) cblas_domatcopy.$(SUFFIX)  cblas_dimatcopy.$(SUFFIX) \
-        cblas_dgeadd.$(SUFFIX) 
+        cblas_dgeadd.$(SUFFIX) cblas_dgemm_batch.$(SUFFIX)
 
 CCBLAS1OBJS   = \
 	cblas_icamax.$(SUFFIX) cblas_icamin.$(SUFFIX) cblas_scasum.$(SUFFIX)  cblas_caxpy.$(SUFFIX) \
@@ -325,7 +325,7 @@ CCBLAS3OBJS   = \
 	cblas_csyrk.$(SUFFIX) cblas_csyr2k.$(SUFFIX) \
 	cblas_chemm.$(SUFFIX) cblas_cherk.$(SUFFIX) cblas_cher2k.$(SUFFIX) \
 	cblas_comatcopy.$(SUFFIX) cblas_cimatcopy.$(SUFFIX)\
-	cblas_cgeadd.$(SUFFIX) cblas_xerbla.$(SUFFIX)
+	cblas_cgeadd.$(SUFFIX) cblas_xerbla.$(SUFFIX) cblas_cgemm_batch.$(SUFFIX)
 
 
 
@@ -353,7 +353,7 @@ CZBLAS3OBJS   = \
 	cblas_zsyrk.$(SUFFIX) cblas_zsyr2k.$(SUFFIX) \
 	cblas_zhemm.$(SUFFIX) cblas_zherk.$(SUFFIX) cblas_zher2k.$(SUFFIX)\
 	cblas_zomatcopy.$(SUFFIX) cblas_zimatcopy.$(SUFFIX) \
-	cblas_zgeadd.$(SUFFIX)
+	cblas_zgeadd.$(SUFFIX) cblas_zgemm_batch.$(SUFFIX)
 
 
 ifeq ($(SUPPORT_GEMM3M), 1)
@@ -2236,3 +2236,15 @@ cblas_zgeadd.$(SUFFIX) cblas_zgeadd.$(PSUFFIX) : zgeadd.c
 
 cblas_xerbla.$(SUFFIX) cblas_xerbla.$(PSUFFIX) : xerbla.c
 	$(CC) -c $(CFLAGS) -DCBLAS $< -o $(@F)
+
+cblas_sgemm_batch.$(SUFFIX) cblas_sgemm_batch.$(PSUFFIX) : gemm_batch.c ../param.h
+	$(CC) -c $(CFLAGS) -DCBLAS $< -o $(@F)
+
+cblas_dgemm_batch.$(SUFFIX) cblas_dgemm_batch.$(PSUFFIX) : gemm_batch.c ../param.h
+	$(CC) -c $(CFLAGS) -DCBLAS $< -o $(@F)
+
+cblas_cgemm_batch.$(SUFFIX) cblas_cgemm_batch.$(PSUFFIX) : gemm_batch.c ../param.h
+	$(CC) -c $(CFLAGS) -DCBLAS $< -o $(@F)
+
+cblas_zgemm_batch.$(SUFFIX) cblas_zgemm_batch.$(PSUFFIX) : gemm_batch.c ../param.h
+	$(CC) -c $(CFLAGS) -DCBLAS $< -o $(@F)
diff --git a/interface/gemm_batch.c b/interface/gemm_batch.c
new file mode 100644
index 000000000..048b5abbf
--- /dev/null
+++ b/interface/gemm_batch.c
@@ -0,0 +1,358 @@
+/*****************************************************************************
+Copyright (c) 2020, The OpenBLAS Project
+All rights reserved.
+
+Redistribution and use in source and binary forms, with or without
+modification, are permitted provided that the following conditions are
+met:
+
+   1. Redistributions of source code must retain the above copyright
+      notice, this list of conditions and the following disclaimer.
+
+   2. Redistributions in binary form must reproduce the above copyright
+      notice, this list of conditions and the following disclaimer in
+      the documentation and/or other materials provided with the
+      distribution.
+   3. Neither the name of the OpenBLAS project nor the names of 
+      its contributors may be used to endorse or promote products 
+      derived from this software without specific prior written 
+      permission.
+
+THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
+AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
+LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
+DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
+SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
+CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
+OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE
+USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+
+**********************************************************************************/
+
+#include <stdio.h>
+#include <stdlib.h>
+#include "common.h"
+
+void openblas_warning(int verbose, const char * msg);
+
+#ifndef COMPLEX
+#ifdef XDOUBLE
+#define ERROR_NAME "QGEMM_BATCH "
+#elif defined(DOUBLE)
+#define ERROR_NAME "DGEMM_BATCH "
+#define GEMM_BATCH_THREAD dgemm_batch_thread
+#else
+#define ERROR_NAME "SGEMM_BATCH "
+#define GEMM_BATCH_THREAD sgemm_batch_thread
+#endif
+#else
+#ifdef XDOUBLE
+#define ERROR_NAME "XGEMM_BATCH "
+#elif defined(DOUBLE)
+#define ERROR_NAME "ZGEMM_BATCH "
+#define GEMM_BATCH_THREAD zgemm_batch_thread
+#else
+#define ERROR_NAME "CGEMM_BATCH "
+#define GEMM_BATCH_THREAD cgemm_batch_thread
+#endif
+#endif
+static int (*gemm[])(blas_arg_t *, BLASLONG *, BLASLONG *, IFLOAT *, IFLOAT *, BLASLONG) = {
+  GEMM_NN, GEMM_TN, GEMM_RN, GEMM_CN,
+  GEMM_NT, GEMM_TT, GEMM_RT, GEMM_CT,
+  GEMM_NR, GEMM_TR, GEMM_RR, GEMM_CR,
+  GEMM_NC, GEMM_TC, GEMM_RC, GEMM_CC,
+};
+
+#ifdef SMALL_MATRIX_OPT
+
+#ifndef COMPLEX
+static int (*gemm_small_kernel[])(BLASLONG, BLASLONG, BLASLONG, FLOAT *, BLASLONG, FLOAT ,FLOAT *, BLASLONG, FLOAT, FLOAT *, BLASLONG) = {
+#ifndef GEMM3M
+	GEMM_SMALL_KERNEL_NN, GEMM_SMALL_KERNEL_TN, NULL, NULL,
+	GEMM_SMALL_KERNEL_NT, GEMM_SMALL_KERNEL_TT, NULL, NULL,
+#endif
+};
+
+static int (*gemm_small_kernel_b0[])(BLASLONG, BLASLONG, BLASLONG, FLOAT *, BLASLONG, FLOAT, FLOAT *, BLASLONG, FLOAT *, BLASLONG) = {
+#ifndef GEMM3M
+	GEMM_SMALL_KERNEL_B0_NN, GEMM_SMALL_KERNEL_B0_TN, NULL, NULL,
+	GEMM_SMALL_KERNEL_B0_NT, GEMM_SMALL_KERNEL_B0_TT, NULL, NULL,
+#endif
+};
+
+#else
+
+static int (*zgemm_small_kernel[])(BLASLONG, BLASLONG, BLASLONG, FLOAT *, BLASLONG, FLOAT , FLOAT, FLOAT *, BLASLONG, FLOAT , FLOAT, FLOAT *, BLASLONG) = {
+#ifndef GEMM3M
+	GEMM_SMALL_KERNEL_NN, GEMM_SMALL_KERNEL_TN, GEMM_SMALL_KERNEL_RN, GEMM_SMALL_KERNEL_CN,
+	GEMM_SMALL_KERNEL_NT, GEMM_SMALL_KERNEL_TT, GEMM_SMALL_KERNEL_RT, GEMM_SMALL_KERNEL_CT,
+	GEMM_SMALL_KERNEL_NR, GEMM_SMALL_KERNEL_TR, GEMM_SMALL_KERNEL_RR, GEMM_SMALL_KERNEL_CR,
+	GEMM_SMALL_KERNEL_NC, GEMM_SMALL_KERNEL_TC, GEMM_SMALL_KERNEL_RC, GEMM_SMALL_KERNEL_CC,
+#endif
+};
+
+static int (*zgemm_small_kernel_b0[])(BLASLONG, BLASLONG, BLASLONG, FLOAT *, BLASLONG, FLOAT , FLOAT, FLOAT *, BLASLONG, FLOAT *, BLASLONG) = {
+#ifndef GEMM3M
+	GEMM_SMALL_KERNEL_B0_NN, GEMM_SMALL_KERNEL_B0_TN, GEMM_SMALL_KERNEL_B0_RN, GEMM_SMALL_KERNEL_B0_CN,
+	GEMM_SMALL_KERNEL_B0_NT, GEMM_SMALL_KERNEL_B0_TT, GEMM_SMALL_KERNEL_B0_RT, GEMM_SMALL_KERNEL_B0_CT,
+	GEMM_SMALL_KERNEL_B0_NR, GEMM_SMALL_KERNEL_B0_TR, GEMM_SMALL_KERNEL_B0_RR, GEMM_SMALL_KERNEL_B0_CR,
+	GEMM_SMALL_KERNEL_B0_NC, GEMM_SMALL_KERNEL_B0_TC, GEMM_SMALL_KERNEL_B0_RC, GEMM_SMALL_KERNEL_B0_CC,
+#endif
+};
+#endif
+#endif
+
+void CNAME(enum CBLAS_ORDER order, enum CBLAS_TRANSPOSE *  transa_array, enum CBLAS_TRANSPOSE * transb_array,
+	   blasint * m_array, blasint * n_array, blasint * k_array,
+#ifndef COMPLEX
+	   FLOAT * alpha_array,
+	   FLOAT ** a_array, blasint * lda_array,
+	   FLOAT ** b_array, blasint * ldb_array,
+	   FLOAT * beta_array,
+	   FLOAT ** c_array, blasint * ldc_array, blasint group_count, blasint * group_size) {
+#else
+	   void * valpha_array,
+	   void ** va_array, blasint * lda_array,
+	   void ** vb_array, blasint * ldb_array,
+	   void * vbeta_array,
+	   void ** vc_array, blasint * ldc_array, blasint group_count, blasint * group_size) {
+
+  FLOAT * alpha_array=(FLOAT *)valpha_array;
+  FLOAT * beta_array=(FLOAT *)vbeta_array;
+  FLOAT ** a_array=(FLOAT**)va_array;
+  FLOAT ** b_array=(FLOAT**)vb_array;
+  FLOAT ** c_array=(FLOAT**)vc_array;
+    
+#endif
+  blas_arg_t * args_array=NULL;
+
+  int mode=0, group_mode=0;
+  blasint total_num=0;
+
+  blasint i=0, j=0, matrix_idx=0, count=0;
+
+  int group_transa, group_transb;
+  BLASLONG group_nrowa, group_nrowb;
+  blasint info;
+
+  void * group_alpha, * group_beta;
+  BLASLONG group_m, group_n, group_k;
+  BLASLONG group_lda, group_ldb, group_ldc;
+  void * group_routine=NULL;
+#ifdef SMALL_MATRIX_OPT
+  void * group_small_matrix_opt_routine=NULL;
+#endif
+  
+#if defined (SMP) || defined(SMALL_MATRIX_OPT)
+  double MNK;
+#endif
+
+  PRINT_DEBUG_CNAME;
+    
+  for(i=0; i<group_count; i++){
+    total_num+=group_size[i];
+  }
+
+  args_array=(blas_arg_t *)malloc(total_num * sizeof(blas_arg_t));
+  
+  if(args_array == NULL){
+    openblas_warning(0, "memory alloc failed!\n");
+    exit(1);
+  }
+
+#ifdef SMP
+#ifndef COMPLEX
+#ifdef XDOUBLE
+  mode  =  BLAS_XDOUBLE | BLAS_REAL;
+#elif defined(DOUBLE)
+  mode  =  BLAS_DOUBLE  | BLAS_REAL;
+#else
+  mode  =  BLAS_SINGLE  | BLAS_REAL;
+#endif
+#else
+#ifdef XDOUBLE
+  mode  =  BLAS_XDOUBLE | BLAS_COMPLEX;
+#elif defined(DOUBLE)
+  mode  =  BLAS_DOUBLE  | BLAS_COMPLEX;
+#else
+  mode  =  BLAS_SINGLE  | BLAS_COMPLEX;
+#endif
+#endif
+#endif
+  
+  for(i=0; i<group_count; matrix_idx+=group_size[i], i++){
+    group_alpha = (void *)&alpha_array[i * COMPSIZE];
+    group_beta = (void *)&beta_array[i * COMPSIZE];
+
+    group_transa = -1;
+    group_transb = -1;
+    info   = 0;
+
+    if (order == CblasColMajor) {
+      group_m = m_array[i];
+      group_n = n_array[i];
+      group_k = k_array[i];
+
+      group_lda = lda_array[i];
+      group_ldb = ldb_array[i];
+      group_ldc = ldc_array[i];
+      
+      if (transa_array[i] == CblasNoTrans)     group_transa = 0;
+      if (transa_array[i] == CblasTrans)       group_transa = 1;
+#ifndef COMPLEX
+      if (transa_array[i] == CblasConjNoTrans) group_transa = 0;
+      if (transa_array[i] == CblasConjTrans)   group_transa = 1;
+#else
+      if (transa_array[i] == CblasConjNoTrans) group_transa = 2;
+      if (transa_array[i] == CblasConjTrans)   group_transa = 3;
+#endif
+      if (transb_array[i] == CblasNoTrans)     group_transb = 0;
+      if (transb_array[i] == CblasTrans)       group_transb = 1;
+#ifndef COMPLEX
+      if (transb_array[i] == CblasConjNoTrans) group_transb = 0;
+      if (transb_array[i] == CblasConjTrans)   group_transb = 1;
+#else
+      if (transb_array[i] == CblasConjNoTrans) group_transb = 2;
+      if (transb_array[i] == CblasConjTrans)   group_transb = 3;
+#endif
+      group_nrowa = group_m;
+      if (group_transa & 1) group_nrowa = group_k;
+      group_nrowb = group_k;
+      if (group_transb & 1) group_nrowb = group_n;
+
+      info=-1;
+	
+      if (group_ldc < group_m) info = 13;
+      if (group_ldb < group_nrowb)  info = 10;
+      if (group_lda < group_nrowa)  info =  8;
+      if (group_k < 0)        info =  5;
+      if (group_n < 0)        info =  4;
+      if (group_m < 0)        info =  3;
+      if (group_transb < 0)        info =  2;
+      if (group_transa < 0)        info =  1;
+
+    }else if (order == CblasRowMajor) {
+      group_m = n_array[i];
+      group_n = m_array[i];
+      group_k = k_array[i];
+
+      group_lda = ldb_array[i];
+      group_ldb = lda_array[i];
+      group_ldc = ldc_array[i];
+      
+      if (transb_array[i] == CblasNoTrans)     group_transa = 0;
+      if (transb_array[i] == CblasTrans)       group_transa = 1;
+#ifndef COMPLEX
+      if (transb_array[i] == CblasConjNoTrans) group_transa = 0;
+      if (transb_array[i] == CblasConjTrans)   group_transa = 1;
+#else
+      if (transb_array[i] == CblasConjNoTrans) group_transa = 2;
+      if (transb_array[i] == CblasConjTrans)   group_transa = 3;
+#endif
+      if (transa_array[i] == CblasNoTrans)     group_transb = 0;
+      if (transa_array[i] == CblasTrans)       group_transb = 1;
+#ifndef COMPLEX
+      if (transa_array[i] == CblasConjNoTrans) group_transb = 0;
+      if (transa_array[i] == CblasConjTrans)   group_transb = 1;
+#else
+      if (transa_array[i] == CblasConjNoTrans) group_transb = 2;
+      if (transa_array[i] == CblasConjTrans)   group_transb = 3;
+#endif
+      group_nrowa = group_m;
+      if (group_transa & 1) group_nrowa = group_k;
+      group_nrowb = group_k;
+      if (group_transb & 1) group_nrowb = group_n;
+
+      info=-1;
+	
+      if (group_ldc < group_m) info = 13;
+      if (group_ldb < group_nrowb)  info = 10;
+      if (group_lda < group_nrowa)  info =  8;
+      if (group_k < 0)        info =  5;
+      if (group_n < 0)        info =  4;
+      if (group_m < 0)        info =  3;
+      if (group_transb < 0)        info =  2;
+      if (group_transa < 0)        info =  1;      
+    }
+
+    if (info >= 0) {
+      BLASFUNC(xerbla)(ERROR_NAME, &info, sizeof(ERROR_NAME));
+      free(args_array);
+      return;
+    }
+
+    if (group_m == 0 || group_n == 0) continue;
+
+    group_mode=mode;
+
+#if defined(SMP) || defined(SMALL_MATRIX_OPT)
+    MNK = (double) group_m * (double) group_n * (double) group_k;
+#endif
+
+#ifdef SMALL_MATRIX_OPT
+    if(MNK <= 100.0*100.0*100.0){
+      group_routine=NULL;
+#if !defined(COMPLEX)
+      if(*(FLOAT *)(group_beta) == 0.0){
+	group_mode=mode | BLAS_SMALL_B0_OPT;
+	group_small_matrix_opt_routine=(void *)(gemm_small_kernel_b0[(group_transb<<2)|group_transa]);
+      }else{
+	group_mode=mode | BLAS_SMALL_OPT;
+	group_small_matrix_opt_routine=(void *)(gemm_small_kernel[(group_transb<<2)|group_transa]);
+      }
+#else
+      if(((FLOAT *)(group_beta))[0] == 0.0 && ((FLOAT *)(group_beta))[1] == 0.0){
+	group_mode=mode | BLAS_SMALL_B0_OPT;
+	group_small_matrix_opt_routine=(void *)(zgemm_small_kernel_b0[(group_transb<<2)|group_transa]);
+      }else{
+	group_mode=mode | BLAS_SMALL_OPT;
+	group_small_matrix_opt_routine=(void *)(zgemm_small_kernel[(group_transb<<2)|group_transa]);
+      }
+
+#endif
+      
+    }else{
+#endif
+      group_routine=(void*)(gemm[(group_transb<<2)|group_transa]);
+#ifdef SMALL_MATRIX_OPT
+    }
+#endif    
+
+    
+    for(j=0; j<group_size[i]; j++){
+      args_array[count].m=group_m;
+      args_array[count].n=group_n;
+      args_array[count].k=group_k;
+      args_array[count].lda=group_lda;
+      args_array[count].ldb=group_ldb;
+      args_array[count].ldc=group_ldc;
+      args_array[count].alpha=group_alpha;
+      args_array[count].beta=group_beta;
+
+      if (order == CblasColMajor) {      
+	args_array[count].a=(a_array[matrix_idx+j]);
+	args_array[count].b=(b_array[matrix_idx+j]);
+      }else if(order == CblasRowMajor){
+	args_array[count].a=(b_array[matrix_idx+j]);
+	args_array[count].b=(a_array[matrix_idx+j]);
+      }
+      
+      args_array[count].c=(c_array[matrix_idx+j]);
+      
+      args_array[count].routine_mode=group_mode;
+      args_array[count].routine=group_routine;
+#ifdef SMALL_MATRIX_OPT
+      args_array[count].routine=group_small_matrix_opt_routine;
+#endif      
+      count++;
+    }
+  }
+
+  if(count>0){
+    GEMM_BATCH_THREAD(args_array,count);
+  }
+
+  free(args_array);
+}