diff --git a/docs/install.md b/docs/install.md
index e6a70ac37..5e31b5066 100644
--- a/docs/install.md
+++ b/docs/install.md
@@ -712,9 +712,10 @@ fully working OpenBLAS for this platform.
 
 Go to the directory where you unpacked OpenBLAS,and enter the following commands:
 ```bash
-CC=/Applications/Xcode_12.4.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/clang
+CC="/Applications/Xcode.app/Contents/Developer/Toolchains/XcodeDefault.xctoolchain/usr/bin/clang"
 
-CFLAGS= -O2 -Wno-macro-redefined -isysroot /Applications/Xcode_12.4.app/Contents/Developer/Platforms/iPhoneOS.platform/Developer/SDKs/iPhoneOS14.4.sdk -arch arm64 -miphoneos-version-min=10.0
+SDKROOT="$(xcrun --sdk iphoneos --show-sdk-path)"
+CFLAGS="-O2 -Wno-macro-redefined -isysroot $SDKROOT -arch arm64 -miphoneos-version-min=10.0"
 
 make TARGET=ARMV8 DYNAMIC_ARCH=1 NUM_THREADS=32 HOSTCC=clang NOFORTRAN=1
 ```
diff --git a/kernel/arm64/nrm2.S b/kernel/arm64/nrm2.S
index 0e5a8eed1..93218ff6e 100644
--- a/kernel/arm64/nrm2.S
+++ b/kernel/arm64/nrm2.S
@@ -35,16 +35,13 @@ USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 #define I		x3
 
 #if !defined(DOUBLE)
-#define SSQ		s0
-#define SCALE		s1
-#define REGZERO		s5
-#define REGONE		s6
-#else
+#define SSQF s0
+#endif
+
 #define SSQ		d0
 #define SCALE		d1
 #define REGZERO		d5
 #define REGONE		d6
-#endif
 
 /*******************************************************************************
 * Macro definitions
@@ -53,22 +50,10 @@ USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 .macro KERNEL_F1
 #if !defined(DOUBLE)
 	ldr	s4, [X], #4
-	fcmp	s4, REGZERO
-	beq	2f     /* KERNEL_F1_NEXT_\@ */
-	fabs	s4, s4
-	fcmp	SCALE, s4
-	bge	1f     /* KERNEL_F1_SCALE_GE_X_\@ */
-	fdiv	s2, SCALE, s4
-	fmul	s2, s2, s2
-	fmul	s3, SSQ, s2
-	fadd	SSQ, REGONE, s3
-	fmov	SCALE, s4
-	b	2f     /* KERNEL_F1_NEXT_\@ */
-1:               /* KERNEL_F1_SCALE_GE_X_\@: */
-	fdiv	s2, s4, SCALE
-	fmla	SSQ, s2, v2.s[0]
+	fcvt	d4, s4
 #else
 	ldr	d4, [X], #8
+#endif
 	fcmp	d4, REGZERO
 	beq	2f     /* KERNEL_F1_NEXT_\@ */
 	fabs	d4, d4
@@ -83,29 +68,16 @@ USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
 1:                     /* KERNEL_F1_SCALE_GE_X_\@: */
 	fdiv	d2, d4, SCALE
 	fmla	SSQ, d2, v2.d[0]
-#endif
 2:                     /* KERNEL_F1_NEXT_\@: */
 .endm
 
 .macro KERNEL_S1
 #if !defined(DOUBLE)
 	ldr	s4, [X]
-	fcmp	s4, REGZERO
-	beq	KERNEL_S1_NEXT
-	fabs	s4, s4
-	fcmp	SCALE, s4
-	bge	KERNEL_S1_SCALE_GE_X
-	fdiv	s2, SCALE, s4
-	fmul	s2, s2, s2
-	fmul	s3, SSQ, s2
-	fadd	SSQ, REGONE, s3
-	fmov	SCALE, s4
-	b	KERNEL_S1_NEXT
-KERNEL_S1_SCALE_GE_X:
-	fdiv	s2, s4, SCALE
-	fmla	SSQ, s2, v2.s[0]
+	fcvt	d4, s4
 #else
 	ldr	d4, [X]
+#endif
 	fcmp	d4, REGZERO
 	beq	KERNEL_S1_NEXT
 	fabs	d4, d4
@@ -120,7 +92,6 @@ KERNEL_S1_SCALE_GE_X:
 KERNEL_S1_SCALE_GE_X:
 	fdiv	d2, d4, SCALE
 	fmla	SSQ, d2, v2.d[0]
-#endif
 KERNEL_S1_NEXT:
 	add	X, X, INC_X
 .endm
@@ -218,7 +189,9 @@ KERNEL_S1_NEXT:
 .Lnrm2_kernel_L999:
 	fsqrt	SSQ, SSQ
 	fmul	SSQ, SCALE, SSQ
-
+#if !defined(DOUBLE)
+	fcvt SSQF, SSQ
+#endif
 	ret
 
 	EPILOGUE
diff --git a/param.h b/param.h
index 490b7c472..8ff59920e 100644
--- a/param.h
+++ b/param.h
@@ -3778,18 +3778,18 @@ Until then, just keep it different than DGEMM_DEFAULT_UNROLL_N to keep copy rout
 #define ZGEMM_DEFAULT_UNROLL_N  4
 #define ZGEMM_DEFAULT_UNROLL_MN  16
 
-#define SGEMM_DEFAULT_P	128
-#define DGEMM_DEFAULT_P	160
+#define SGEMM_DEFAULT_P 128
+#define DGEMM_DEFAULT_P 128
 #define CGEMM_DEFAULT_P 128
 #define ZGEMM_DEFAULT_P 128
 
-#define SGEMM_DEFAULT_Q 352
-#define DGEMM_DEFAULT_Q 128
+#define SGEMM_DEFAULT_Q 896
+#define DGEMM_DEFAULT_Q 448
 #define CGEMM_DEFAULT_Q 224
 #define ZGEMM_DEFAULT_Q 112
 
-#define SGEMM_DEFAULT_R 4096
-#define DGEMM_DEFAULT_R 4096
+#define SGEMM_DEFAULT_R 3072
+#define DGEMM_DEFAULT_R 3072
 #define CGEMM_DEFAULT_R 4096
 #define ZGEMM_DEFAULT_R 4096