diff --git a/CHANGELOG.md b/CHANGELOG.md
index 2fe70dab..2f4eecdb 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -17,6 +17,8 @@ and this project adheres to [Semantic Versioning](http://semver.org/spec/v2.0.0.
   https://github.com/shibatch/sleef/pull/192
 - Power VSX target support is added to libsleef.
   https://github.com/shibatch/sleef/pull/195
+- Payne-Hanek like argument reduction is added to libsleef.
+  https://github.com/shibatch/sleef/pull/197
 ## 3.2 - 2018-02-26
 ### Added
 - The whole build system of the project migrated from makefiles to
diff --git a/Jenkinsfile b/Jenkinsfile
index b8f2dcd9..6d23a087 100644
--- a/Jenkinsfile
+++ b/Jenkinsfile
@@ -10,7 +10,7 @@ pipeline {
 	    	     	 sh '''
                 	 echo "AArch64 SVE on" `hostname`
 			 export PATH=$PATH:/opt/arm/arm-instruction-emulator-1.2.1_Generic-AArch64_Ubuntu-14.04_aarch64-linux/bin
-			 export LD_LIBRARY_PATH=/opt/arm/arm-hpc-compiler-18.1_Generic-AArch64_Ubuntu-16.04_aarch64-linux/lib
+			 export LD_LIBRARY_PATH=/opt/arm/arm-instruction-emulator-1.2.1_Generic-AArch64_Ubuntu-14.04_aarch64-linux/lib:/opt/arm/arm-hpc-compiler-18.1_Generic-AArch64_Ubuntu-16.04_aarch64-linux/lib
 			 export CC=/opt/arm/arm-hpc-compiler-18.1_Generic-AArch64_Ubuntu-16.04_aarch64-linux/bin/armclang
 			 rm -rf build
  			 mkdir build
@@ -24,7 +24,7 @@ pipeline {
 			 '''
             	     }
                 }
-                
+
                 stage('Intel Compiler') {
                     agent { label 'icc' }
                     steps {
diff --git a/src/arch/helperadvsimd.h b/src/arch/helperadvsimd.h
index 694dbd31..6d31aa37 100644
--- a/src/arch/helperadvsimd.h
+++ b/src/arch/helperadvsimd.h
@@ -72,6 +72,19 @@ static INLINE void vstoreu_v_p_vi2(int32_t *p, vint2 v) { vst1q_s32(p, v); }
 static INLINE vint vloadu_vi_p(int32_t *p) { return vld1_s32(p); }
 static INLINE void vstoreu_v_p_vi(int32_t *p, vint v) { vst1_s32(p, v); }
 
+static INLINE vdouble vgather_vd_p_vi(const double *ptr, vint vi) {
+  return ((vdouble) { ptr[vget_lane_s32(vi, 0)], ptr[vget_lane_s32(vi, 1)]} );
+}
+
+static INLINE vfloat vgather_vf_p_vi2(const float *ptr, vint2 vi2) {
+  return ((vfloat) {
+      ptr[vgetq_lane_s32(vi2, 0)],
+      ptr[vgetq_lane_s32(vi2, 1)],
+      ptr[vgetq_lane_s32(vi2, 2)],
+      ptr[vgetq_lane_s32(vi2, 3)]
+    });
+}
+
 // Basic logical operations for mask
 static INLINE vmask vand_vm_vm_vm(vmask x, vmask y) { return vandq_u32(x, y); }
 static INLINE vmask vandnot_vm_vm_vm(vmask x, vmask y) {
diff --git a/src/arch/helperavx.h b/src/arch/helperavx.h
index f2d81d01..8b1fe0b1 100644
--- a/src/arch/helperavx.h
+++ b/src/arch/helperavx.h
@@ -290,6 +290,12 @@ static INLINE vdouble vloadu_vd_p(const double *ptr) { return _mm256_loadu_pd(pt
 static INLINE void vstore_v_p_vd(double *ptr, vdouble v) { _mm256_store_pd(ptr, v); }
 static INLINE void vstoreu_v_p_vd(double *ptr, vdouble v) { _mm256_storeu_pd(ptr, v); }
 
+static INLINE vdouble vgather_vd_p_vi(const double *ptr, vint vi) {
+  int a[VECTLENDP];
+  vstoreu_v_p_vi(a, vi);
+  return _mm256_set_pd(ptr[a[3]], ptr[a[2]], ptr[a[1]], ptr[a[0]]);
+}
+
 #if defined(_MSC_VER)
 // This function is needed when debugging on MSVC.
 static INLINE double vcast_d_vd(vdouble v) {
@@ -477,6 +483,13 @@ static INLINE vfloat vloadu_vf_p(const float *ptr) { return _mm256_loadu_ps(ptr)
 static INLINE void vstore_v_p_vf(float *ptr, vfloat v) { _mm256_store_ps(ptr, v); }
 static INLINE void vstoreu_v_p_vf(float *ptr, vfloat v) { _mm256_storeu_ps(ptr, v); }
 
+static INLINE vfloat vgather_vf_p_vi2(const float *ptr, vint2 vi2) {
+  int a[VECTLENSP];
+  vstoreu_v_p_vi2(a, vi2);
+  return _mm256_set_ps(ptr[a[7]], ptr[a[6]], ptr[a[5]], ptr[a[4]],
+		       ptr[a[3]], ptr[a[2]], ptr[a[1]], ptr[a[0]]);
+}
+
 #ifdef _MSC_VER
 // This function is needed when debugging on MSVC.
 static INLINE float vcast_f_vf(vfloat v) {
diff --git a/src/arch/helperavx2.h b/src/arch/helperavx2.h
index 0b25ef3a..4854ae93 100644
--- a/src/arch/helperavx2.h
+++ b/src/arch/helperavx2.h
@@ -255,6 +255,8 @@ static INLINE vdouble vloadu_vd_p(const double *ptr) { return _mm256_loadu_pd(pt
 static INLINE void vstore_v_p_vd(double *ptr, vdouble v) { _mm256_store_pd(ptr, v); }
 static INLINE void vstoreu_v_p_vd(double *ptr, vdouble v) { _mm256_storeu_pd(ptr, v); }
 
+static INLINE vdouble vgather_vd_p_vi(const double *ptr, vint vi) { return _mm256_i32gather_pd(ptr, vi, 8); }
+
 //
 
 static INLINE vint2 vcast_vi2_vm(vmask vm) { return vm; }
@@ -359,6 +361,8 @@ static INLINE vfloat vloadu_vf_p(const float *ptr) { return _mm256_loadu_ps(ptr)
 static INLINE void vstore_v_p_vf(float *ptr, vfloat v) { _mm256_store_ps(ptr, v); }
 static INLINE void vstoreu_v_p_vf(float *ptr, vfloat v) { _mm256_storeu_ps(ptr, v); }
 
+static INLINE vfloat vgather_vf_p_vi2(const float *ptr, vint2 vi2) { return _mm256_i32gather_ps(ptr, vi2, 4); }
+
 //
 
 #define PNMASK ((vdouble) { +0.0, -0.0, +0.0, -0.0 })
diff --git a/src/arch/helperavx2_128.h b/src/arch/helperavx2_128.h
index d6eae8bb..800a290e 100644
--- a/src/arch/helperavx2_128.h
+++ b/src/arch/helperavx2_128.h
@@ -228,6 +228,8 @@ static INLINE vdouble vloadu_vd_p(const double *ptr) { return _mm_loadu_pd(ptr);
 static INLINE void vstore_v_p_vd(double *ptr, vdouble v) { _mm_store_pd(ptr, v); }
 static INLINE void vstoreu_v_p_vd(double *ptr, vdouble v) { _mm_storeu_pd(ptr, v); }
 
+static INLINE vdouble vgather_vd_p_vi(const double *ptr, vint vi) { return _mm_i32gather_pd(ptr, vi, 8); }
+
 #if defined(_MSC_VER)
 // This function is needed when debugging on MSVC.
 static INLINE double vcast_d_vd(vdouble v) {
@@ -330,6 +332,8 @@ static INLINE vfloat vloadu_vf_p(const float *ptr) { return _mm_loadu_ps(ptr); }
 static INLINE void vstore_v_p_vf(float *ptr, vfloat v) { _mm_store_ps(ptr, v); }
 static INLINE void vstoreu_v_p_vf(float *ptr, vfloat v) { _mm_storeu_ps(ptr, v); }
 
+static INLINE vfloat vgather_vf_p_vi2(const float *ptr, vint2 vi2) { return _mm_i32gather_ps(ptr, vi2, 4); }
+
 #ifdef _MSC_VER
 // This function is needed when debugging on MSVC.
 static INLINE float vcast_f_vf(vfloat v) {
diff --git a/src/arch/helperavx512f.h b/src/arch/helperavx512f.h
index b0aafba0..65a007df 100644
--- a/src/arch/helperavx512f.h
+++ b/src/arch/helperavx512f.h
@@ -290,6 +290,8 @@ static INLINE vdouble vloadu_vd_p(const double *ptr) { return _mm512_loadu_pd(pt
 static INLINE void vstore_v_p_vd(double *ptr, vdouble v) { _mm512_store_pd(ptr, v); }
 static INLINE void vstoreu_v_p_vd(double *ptr, vdouble v) { _mm512_storeu_pd(ptr, v); }
 
+static INLINE vdouble vgather_vd_p_vi(const double *ptr, vint vi) { return _mm512_i32gather_pd(vi, ptr, 8); }
+
 //
 
 static INLINE vint vsel_vi_vo_vi_vi(vopmask m, vint x, vint y) {
@@ -417,6 +419,7 @@ static INLINE vopmask visminf_vo_vf(vfloat d) { return veq_vo_vf_vf(d, vcast_vf_
 static INLINE vopmask visnan_vo_vf(vfloat d) { return vneq_vo_vf_vf(d, d); }
 
 static INLINE vint2 vilogbk_vi2_vf(vfloat d) { return vrint_vi2_vf(_mm512_getexp_ps(d)); }
+static INLINE vint2 vilogb2k_vi2_vf(vfloat d) { return vrint_vi2_vf(_mm512_getexp_ps(d)); }
 
 #ifdef _MSC_VER
 // This function is needed when debugging on MSVC.
@@ -433,6 +436,8 @@ static INLINE vfloat vloadu_vf_p(const float *ptr) { return _mm512_loadu_ps(ptr)
 static INLINE void vstore_v_p_vf(float *ptr, vfloat v) { _mm512_store_ps(ptr, v); }
 static INLINE void vstoreu_v_p_vf(float *ptr, vfloat v) { _mm512_storeu_ps(ptr, v); }
 
+static INLINE vfloat vgather_vf_p_vi2(const float *ptr, vint2 vi2) { return _mm512_i32gather_ps(vi2, ptr, 4); }
+
 //
 
 static INLINE vdouble vposneg_vd_vd(vdouble d) {
diff --git a/src/arch/helperneon32.h b/src/arch/helperneon32.h
index 632de1e0..55e61418 100644
--- a/src/arch/helperneon32.h
+++ b/src/arch/helperneon32.h
@@ -43,11 +43,8 @@ static INLINE int vtestallones_i_vo32(vopmask g) {
   return vget_lane_u32(x1, 0);
 }
 
-static vfloat vloaduf(float *p) { return vld1q_f32(p); }
-static void vstoreuf(float *p, vfloat v) { vst1q_f32(p, v); }
-
 static vint2 vloadu_vi2_p(int32_t *p) { return vld1q_s32(p); }
-static void vstoreu_p_vi2(int32_t *p, vint2 v) { vst1q_s32(p, v); }
+static void vstoreu_v_p_vi2(int32_t *p, vint2 v) { vst1q_s32(p, v); }
 
 //
 
@@ -210,6 +207,15 @@ static INLINE vfloat vloadu_vf_p(const float *ptr) { return vld1q_f32(ptr); }
 static INLINE void vstore_v_p_vf(float *ptr, vfloat v) { vst1q_f32(__builtin_assume_aligned(ptr, 16), v); }
 static INLINE void vstoreu_v_p_vf(float *ptr, vfloat v) { vst1q_f32(ptr, v); }
 
+static INLINE vfloat vgather_vf_p_vi2(const float *ptr, vint2 vi2) {
+  return ((vfloat) {
+      ptr[vgetq_lane_s32(vi2, 0)],
+      ptr[vgetq_lane_s32(vi2, 1)],
+      ptr[vgetq_lane_s32(vi2, 2)],
+      ptr[vgetq_lane_s32(vi2, 3)]
+    });
+}
+
 #define PNMASKf ((vfloat) { +0.0f, -0.0f, +0.0f, -0.0f })
 #define NPMASKf ((vfloat) { -0.0f, +0.0f, -0.0f, +0.0f })
 
diff --git a/src/arch/helperpower_128.h b/src/arch/helperpower_128.h
index c5e0fba0..0fee2784 100644
--- a/src/arch/helperpower_128.h
+++ b/src/arch/helperpower_128.h
@@ -74,6 +74,18 @@ static INLINE void vstoreu_v_p_vf(float *ptr, vfloat v) { ptr[0] = v[0]; ptr[1]
 
 static INLINE void vscatter2_v_p_i_i_vd(double *ptr, int offset, int step, vdouble v) { vstore_v_p_vd((double *)(&ptr[2*offset]), v); }
 
+static INLINE vdouble vgather_vd_p_vi(const double *ptr, vint vi) {
+  int a[VECTLENDP];
+  vstoreu_v_p_vi(a, vi);
+  return ((vdouble) { ptr[a[0]], ptr[a[1]] });
+}
+
+static INLINE vfloat vgather_vf_p_vi2(const float *ptr, vint2 vi2) {
+  int a[VECTLENSP];
+  vstoreu_v_p_vi2(a, vi2);
+  return ((vfloat) { ptr[a[0]], ptr[a[1]], ptr[a[2]], ptr[a[3]] });
+}
+
 static INLINE vint vcast_vi_i(int i) { return (vint) { i, i }; }
 static INLINE vint2 vcast_vi2_i(int i) { return (vint2) { i, i, i, i }; }
 static INLINE vfloat vcast_vf_f(float f) { return (vfloat) { f, f, f, f }; }
diff --git a/src/arch/helperpurec.h b/src/arch/helperpurec.h
index 2b148ef8..c4b503da 100644
--- a/src/arch/helperpurec.h
+++ b/src/arch/helperpurec.h
@@ -304,6 +304,12 @@ static INLINE double vcast_d_vd(vdouble v) { return v.d[0]; }
 static INLINE vdouble vload_vd_p(const double *ptr) { return *(vdouble *)ptr; }
 static INLINE vdouble vloadu_vd_p(const double *ptr) { vdouble vd; for(int i=0;i<VECTLENDP;i++) vd.d[i] = ptr[i]; return vd; }
 
+static INLINE vdouble vgather_vd_p_vi(const double *ptr, vint vi) {
+  vdouble vd;
+  for(int i=0;i<VECTLENDP;i++) vd.d[i] = ptr[vi.i[i]];
+  return vd;
+}
+
 static INLINE void vstore_v_p_vd(double *ptr, vdouble v) { *(vdouble *)ptr = v; }
 static INLINE void vstoreu_v_p_vd(double *ptr, vdouble v) { for(int i=0;i<VECTLENDP;i++) ptr[i] = v.d[i]; }
 static INLINE void vstream_v_p_vd(double *ptr, vdouble v) { *(vdouble *)ptr = v; }
@@ -418,6 +424,12 @@ static INLINE vfloat vloadu_vf_p(const float *ptr) {
   return vf;
 }
 
+static INLINE vfloat vgather_vf_p_vi2(const float *ptr, vint2 vi2) {
+  vfloat vf;
+  for(int i=0;i<VECTLENSP;i++) vf.f[i] = ptr[vi2.i[i]];
+  return vf;
+}
+
 static INLINE void vstore_v_p_vf(float *ptr, vfloat v) { *(vfloat *)ptr = v; }
 static INLINE void vstoreu_v_p_vf(float *ptr, vfloat v) {
   for(int i=0;i<VECTLENSP;i++) ptr[i] = v.f[i];
diff --git a/src/arch/helpersse2.h b/src/arch/helpersse2.h
index 7082c404..bf2a080e 100644
--- a/src/arch/helpersse2.h
+++ b/src/arch/helpersse2.h
@@ -267,6 +267,12 @@ static INLINE vdouble vloadu_vd_p(const double *ptr) { return _mm_loadu_pd(ptr);
 static INLINE void vstore_v_p_vd(double *ptr, vdouble v) { _mm_store_pd(ptr, v); }
 static INLINE void vstoreu_v_p_vd(double *ptr, vdouble v) { _mm_storeu_pd(ptr, v); }
 
+static INLINE vdouble vgather_vd_p_vi(const double *ptr, vint vi) {
+  int a[sizeof(vint)/sizeof(int)];
+  vstoreu_v_p_vi(a, vi);
+  return _mm_set_pd(ptr[a[1]], ptr[a[0]]);
+}
+
 #if defined(_MSC_VER)
 // This function is needed when debugging on MSVC.
 static INLINE double vcast_d_vd(vdouble v) {
@@ -373,6 +379,12 @@ static INLINE vfloat vloadu_vf_p(const float *ptr) { return _mm_loadu_ps(ptr); }
 static INLINE void vstore_v_p_vf(float *ptr, vfloat v) { _mm_store_ps(ptr, v); }
 static INLINE void vstoreu_v_p_vf(float *ptr, vfloat v) { _mm_storeu_ps(ptr, v); }
 
+static INLINE vfloat vgather_vf_p_vi2(const float *ptr, vint2 vi) {
+  int a[VECTLENSP];
+  vstoreu_v_p_vi2(a, vi);
+  return _mm_set_ps(ptr[a[3]], ptr[a[2]], ptr[a[1]], ptr[a[0]]);
+}
+
 #ifdef _MSC_VER
 // This function is useful when debugging on MSVC.
 static INLINE float vcast_f_vf(vfloat v) {
diff --git a/src/arch/helpersve.h b/src/arch/helpersve.h
index b9aed5cc..1ca28b46 100644
--- a/src/arch/helpersve.h
+++ b/src/arch/helpersve.h
@@ -607,6 +607,9 @@ static INLINE vint vandnot_vi_vo_vi(vopmask x, vint y) {
 static INLINE vint vand_vi_vi_vi(vint x, vint y) {
   return svand_s32_x(ptrue, x, y);
 }
+static INLINE vint vandnot_vi_vi_vi(vint x, vint y) {
+  return svbic_s32_x(ptrue, y, x);
+}
 static INLINE vint vxor_vi_vi_vi(vint x, vint y) {
   return sveor_s32_x(ptrue, x, y);
 }
@@ -657,6 +660,15 @@ static INLINE vint2 veq_vi2_vi2_vi2(vint2 x, vint2 y) {
   return svsel_s32(svcmpeq_s32(ptrue, x, y), ALL_TRUE_MASK, ALL_FALSE_MASK);
 }
 
+// Gather
+
+static INLINE vdouble vgather_vd_p_vi(const double *ptr, vint vi) {
+  return svld1_gather_s64index_f64(ptrue, ptr, svreinterpret_s64_s32(vi));
+}
+
+static INLINE vfloat vgather_vf_p_vi2(const float *ptr, vint2 vi2) {
+  return svld1_gather_s32index_f32(ptrue, ptr, vi2);
+}
 
 // Operations for DFT
 
@@ -713,3 +725,28 @@ static INLINE void vstore_v_p_vf(float *ptr, vfloat v) { vstoreu_v_p_vf(ptr, v);
 static INLINE void vstream_v_p_vf(float *ptr, vfloat v) { vstore_v_p_vf(ptr, v); }
 static INLINE void vsscatter2_v_p_i_i_vd(double *ptr, int offset, int step, vdouble v) { vscatter2_v_p_i_i_vd(ptr, offset, step, v); }
 static INLINE void vsscatter2_v_p_i_i_vf(float *ptr, int offset, int step, vfloat v) { vscatter2_v_p_i_i_vf(ptr, offset, step, v); }
+
+// These functions are for debugging
+static double vcast_d_vd(vdouble v) {
+  double a[svcntd()];
+  vstoreu_v_p_vd(a, v);
+  return a[0];
+}
+
+static float vcast_f_vf(vfloat v) {
+  float a[svcntw()];
+  vstoreu_v_p_vf(a, v);
+  return a[0];
+}
+
+static int vcast_i_vi(vint v) {
+  int a[svcntw()];
+  vstoreu_v_p_vi(a, v);
+  return a[0];
+}
+
+static int vcast_i_vi2(vint2 v) {
+  int a[svcntw()];
+  vstoreu_v_p_vi2(a, v);
+  return a[0];
+}
diff --git a/src/arch/helpervecext.h b/src/arch/helpervecext.h
index 02d7bb11..80adcf3d 100644
--- a/src/arch/helpervecext.h
+++ b/src/arch/helpervecext.h
@@ -627,6 +627,12 @@ static INLINE vdouble vloadu_vd_p(const double *ptr) {
   return vd;
 }
 
+static INLINE vdouble vgather_vd_p_vi(const double *ptr, vint vi) {
+  vdouble vd;
+  for(int i=0;i<VECTLENDP;i++) vd[i] = ptr[vi[i]];
+  return vd;
+}
+
 static INLINE void vstore_v_p_vd(double *ptr, vdouble v) { *(vdouble *)ptr = v; }
 static INLINE void vstoreu_v_p_vd(double *ptr, vdouble v) {
   for(int i=0;i<VECTLENDP;i++) ptr[i] = v[i];
@@ -777,6 +783,12 @@ static INLINE vfloat vloadu_vf_p(const float *ptr) {
   return vf;
 }
 
+static INLINE vfloat vgather_vf_p_vi2(const float *ptr, vint2 vi2) {
+  vfloat vf;
+  for(int i=0;i<VECTLENSP;i++) vf[i] = ptr[vi2[i]];
+  return vf;
+}
+
 static INLINE void vstore_v_p_vf(float *ptr, vfloat v) { *(vfloat *)ptr = v; }
 static INLINE void vstoreu_v_p_vf(float *ptr, vfloat v) {
   for(int i=0;i<VECTLENSP;i++) ptr[i] = v[i];
diff --git a/src/common/misc.h b/src/common/misc.h
index 21982a18..5aa402f9 100644
--- a/src/common/misc.h
+++ b/src/common/misc.h
@@ -57,14 +57,14 @@
   bits. So, the maximum argument that could be correctly reduced
   should be 2^(28*2-1) PI = 1.1e+17. However, due to internal
   double precision calculation, the actual maximum argument that can
-  be correctly reduced is around 2^50 = 1.1e+15.
+  be correctly reduced is around 2^47.
  */
 
 #define PI_A 3.1415926218032836914
 #define PI_B 3.1786509424591713469e-08
 #define PI_C 1.2246467864107188502e-16
 #define PI_D 1.2736634327021899816e-24
-#define TRIGRANGEMAX 1e+15
+#define TRIGRANGEMAX 1e+14
 
 /*
   PI_A2 and PI_B2 are constants that satisfy the following two conditions.
@@ -108,22 +108,13 @@
 #define PI_Bf 0.0009670257568359375f
 #define PI_Cf 6.2771141529083251953e-07f
 #define PI_Df 1.2154201256553420762e-10f
-#define PI_XDf 1.2141754268668591976e-10f
-#define PI_XEf 1.2446743939339977025e-13f
-#define TRIGRANGEMAXf 1e+7 // 39000
+#define TRIGRANGEMAXf 39000
 
 #define PI_A2f 3.1414794921875f
 #define PI_B2f 0.00011315941810607910156f
 #define PI_C2f 1.9841872589410058936e-09f
 #define TRIGRANGEMAX2f 125.0f
 
-#define PI_A3f 3.14154052734375f
-#define PI_B3f 5.212612450122833252e-05f
-#define PI_C3f 1.2154188766544393729e-10f
-#define PI_D3f 1.2246402351402674302e-16f
-#define PI_E3f 6.5640073364868052239e-22f
-#define TRIGRANGEMAX3f 5e+9f
-
 #define TRIGRANGEMAX4f 8e+6f
 
 #define SQRT_FLT_MAX 18446743523953729536.0
@@ -183,8 +174,17 @@ typedef struct {
 
 #if defined (__GNUC__) || defined (__clang__) || defined(__INTEL_COMPILER)
 
-#define INLINE __attribute__((always_inline))
+#define LIKELY(condition) __builtin_expect(!!(condition), 1)
+#define UNLIKELY(condition) __builtin_expect(!!(condition), 0)
 #define RESTRICT __restrict__
+
+#ifndef __ARM_FEATURE_SVE
+#define INLINE __attribute__((always_inline))
+#else
+// This is a workaround of a bug in armclang
+#define INLINE
+#endif
+
 #ifndef __arm__
 #define ALIGNED(x) __attribute__((aligned(x)))
 #else
@@ -200,11 +200,14 @@ typedef struct {
 #if defined(__MINGW32__) || defined(__MINGW64__) || defined(__CYGWIN__)
 #ifndef SLEEF_STATIC_LIBS
 #define EXPORT __stdcall __declspec(dllexport)
+#define NOEXPORT
 #else // #ifndef SLEEF_STATIC_LIBS
 #define EXPORT
+#define NOEXPORT
 #endif // #ifndef SLEEF_STATIC_LIBS
 #else // #if defined(__MINGW32__) || defined(__MINGW64__) || defined(__CYGWIN__)
 #define EXPORT __attribute__((visibility("default")))
+#define NOEXPORT __attribute__ ((visibility ("hidden")))
 #endif // #if defined(__MINGW32__) || defined(__MINGW64__) || defined(__CYGWIN__)
 
 #define SLEEF_NAN __builtin_nan("")
@@ -228,11 +231,15 @@ typedef struct {
 #define CONST
 #define RESTRICT
 #define ALIGNED(x)
+#define LIKELY(condition) (condition)
+#define UNLIKELY(condition) (condition)
 
 #ifndef SLEEF_STATIC_LIBS
 #define EXPORT __declspec(dllexport)
+#define NOEXPORT
 #else
 #define EXPORT
+#define NOEXPORT
 #endif
 
 #if (defined(__GNUC__) || defined(__CLANG__)) && (defined(__i386__) || defined(__x86_64__))
diff --git a/src/libm-benchmarks/Makefile b/src/libm-benchmarks/Makefile
index da28bfc1..b6e739a0 100644
--- a/src/libm-benchmarks/Makefile
+++ b/src/libm-benchmarks/Makefile
@@ -1,4 +1,5 @@
 ICCAVAILABLE := $(shell command -v icc 2> /dev/null)
+ARCH := $(shell uname -p)
 
 all :
 ifndef BUILDDIR
@@ -46,6 +47,16 @@ benchsvml_40 : benchsvml.c benchsvml128_40.o benchsvml256_40.o benchsvml512_40.o
 
 #
 
+ifeq ($(ARCH),aarch64)
+
+benchsleef : benchsleef.c benchsleef128.o bench.h
+	$(CC) benchsleef.c benchsleef128.o -Wall -O0 -g -I$(BUILDDIR)/include -L$(BUILDDIR)/lib -Wno-attributes -lsleef -lm -o benchsleef
+
+benchsleef128.o : benchsleef128.c bench.h
+	$(CC) benchsleef128.c -Wall -march=native -O0 -g -I$(BUILDDIR)/include -L$(BUILDDIR)/lib -Wno-attributes -c
+
+else
+
 benchsleef : benchsleef.c benchsleef128.o benchsleef256.o benchsleef512.o bench.h
 	$(CC) benchsleef.c benchsleef128.o benchsleef256.o benchsleef512.o -Wall -O0 -g -I$(BUILDDIR)/include -L$(BUILDDIR)/lib -Wno-attributes -lsleef -lm -o benchsleef
 
@@ -58,6 +69,8 @@ benchsleef256.o : benchsleef256.c bench.h
 benchsleef512.o : benchsleef512.c bench.h
 	$(CC) benchsleef512.c -Wall -mavx512f -O0 -g -I$(BUILDDIR)/include -L$(BUILDDIR)/lib -Wno-attributes -c
 
+endif
+
 #
 
 ProcessData.class : ProcessData.java
diff --git a/src/libm-benchmarks/ProcessData.java b/src/libm-benchmarks/ProcessData.java
index 381cdf7a..99b67c3f 100644
--- a/src/libm-benchmarks/ProcessData.java
+++ b/src/libm-benchmarks/ProcessData.java
@@ -62,8 +62,8 @@ public boolean equals(Object o) {
 	public String toString() {
 	    String s = funcName + " ";
 	    s += prec == DP ? "DP " : "SP ";
-	    s += bits + "-bit ";
-	    s += " " + ulps + "-ulps ";
+	    s += bits + "bit ";
+	    s += String.format(" %.0fulp ", ulps);
 	    for(int i=0;i<range.size();i+=2) {
 		s += "[" + String.format("%.3g", range.get(i)) + ", " + String.format("%.3g", range.get(i+1)) + "]";
 		if (i + 2 < range.size()) s += " ";
diff --git a/src/libm-benchmarks/benchsleef.c b/src/libm-benchmarks/benchsleef.c
index 68942aa5..aa511acc 100644
--- a/src/libm-benchmarks/benchsleef.c
+++ b/src/libm-benchmarks/benchsleef.c
@@ -82,8 +82,6 @@ int main(int argc, char **argv) {
   int do512bit = cpuSupportsAVX512F();
 #elif defined(__ARM_NEON)
   int do128bit = 1;
-  int do256bit = 0;
-  int do512bit = 0;
 #else
 #error Unsupported architecture
 #endif
@@ -99,8 +97,10 @@ int main(int argc, char **argv) {
   fprintf(fp, "%s\n", columnTitle);
 
   if (do128bit) benchSleef128_DPTrig();
+#if defined(__i386__) || defined(__x86_64__)
   if (do256bit) benchSleef256_DPTrig();
   if (do512bit) benchSleef512_DPTrig();
+#endif
   
   fclose(fp);
   
@@ -109,8 +109,10 @@ int main(int argc, char **argv) {
   fprintf(fp, "%s\n", columnTitle);
 
   if (do128bit) benchSleef128_DPNontrig();
+#if defined(__i386__) || defined(__x86_64__)
   if (do256bit) benchSleef256_DPNontrig();
   if (do512bit) benchSleef512_DPNontrig();
+#endif
   
   fclose(fp);
   
@@ -119,8 +121,10 @@ int main(int argc, char **argv) {
   fprintf(fp, "%s\n", columnTitle);
 
   if (do128bit) benchSleef128_SPTrig();
+#if defined(__i386__) || defined(__x86_64__)
   if (do256bit) benchSleef256_SPTrig();
   if (do512bit) benchSleef512_SPTrig();
+#endif
 
   fclose(fp);
   
@@ -129,8 +133,10 @@ int main(int argc, char **argv) {
   fprintf(fp, "%s\n", columnTitle);
 
   if (do128bit) benchSleef128_SPNontrig();
+#if defined(__i386__) || defined(__x86_64__)
   if (do256bit) benchSleef256_SPNontrig();
   if (do512bit) benchSleef512_SPNontrig();
+#endif
   
   fclose(fp);
   
diff --git a/src/libm-benchmarks/benchsleef128.c b/src/libm-benchmarks/benchsleef128.c
index fb47f541..190fdc03 100644
--- a/src/libm-benchmarks/benchsleef128.c
+++ b/src/libm-benchmarks/benchsleef128.c
@@ -63,6 +63,18 @@ void benchSleef128_DPTrig() {
   callFuncSLEEF1_1(Sleef_cosd2_u35   , "cos, DP, 128", 0, 1e+6, 4.0, abufdp, vdouble);
   callFuncSLEEF1_1(Sleef_tand2_u35   , "tan, DP, 128", 0, 1e+6, 4.0, abufdp, vdouble);
   callFuncSLEEF1_1(Sleef_sincosd2_u35, "sincos, DP, 128", 0, 1e+6, 4.0, abufdp, vdouble);
+
+  fillDP(abufdp, 0, 1e+100);
+  
+  callFuncSLEEF1_1(Sleef_sind2_u10   , "sin, DP, 128", 0, 1e+100, 1.0, abufdp, vdouble);
+  callFuncSLEEF1_1(Sleef_cosd2_u10   , "cos, DP, 128", 0, 1e+100, 1.0, abufdp, vdouble);
+  callFuncSLEEF1_1(Sleef_tand2_u10   , "tan, DP, 128", 0, 1e+100, 1.0, abufdp, vdouble);
+  callFuncSLEEF1_1(Sleef_sincosd2_u10, "sincos, DP, 128", 0, 1e+100, 1.0, abufdp, vdouble);
+
+  callFuncSLEEF1_1(Sleef_sind2_u35   , "sin, DP, 128", 0, 1e+100, 4.0, abufdp, vdouble);
+  callFuncSLEEF1_1(Sleef_cosd2_u35   , "cos, DP, 128", 0, 1e+100, 4.0, abufdp, vdouble);
+  callFuncSLEEF1_1(Sleef_tand2_u35   , "tan, DP, 128", 0, 1e+100, 4.0, abufdp, vdouble);
+  callFuncSLEEF1_1(Sleef_sincosd2_u35, "sincos, DP, 128", 0, 1e+100, 4.0, abufdp, vdouble);
 }
   
 void benchSleef128_DPNontrig() {
@@ -113,17 +125,17 @@ void benchSleef128_SPTrig() {
   callFuncSLEEF1_1(Sleef_tanf4_u35   , "tan, SP, 128", 0, 6.28, 4.0, abufsp, vfloat);
   callFuncSLEEF1_1(Sleef_sincosf4_u35, "sincos, SP, 128", 0, 6.28, 4.0, abufsp, vfloat);
 
-  fillSP(abufsp, 0, 3e+4);
+  fillSP(abufsp, 0, 1e+20);
   
-  callFuncSLEEF1_1(Sleef_sinf4_u10   , "sin, SP, 128", 0, 3e+4, 1.0, abufsp, vfloat);
-  callFuncSLEEF1_1(Sleef_cosf4_u10   , "cos, SP, 128", 0, 3e+4, 1.0, abufsp, vfloat);
-  callFuncSLEEF1_1(Sleef_tanf4_u10   , "tan, SP, 128", 0, 3e+4, 1.0, abufsp, vfloat);
-  callFuncSLEEF1_1(Sleef_sincosf4_u10, "sincos, SP, 128", 0, 3e+4, 1.0, abufsp, vfloat);
-
-  callFuncSLEEF1_1(Sleef_sinf4_u35   , "sin, SP, 128", 0, 3e+4, 4.0, abufsp, vfloat);
-  callFuncSLEEF1_1(Sleef_cosf4_u35   , "cos, SP, 128", 0, 3e+4, 4.0, abufsp, vfloat);
-  callFuncSLEEF1_1(Sleef_tanf4_u35   , "tan, SP, 128", 0, 3e+4, 4.0, abufsp, vfloat);
-  callFuncSLEEF1_1(Sleef_sincosf4_u35, "sincos, SP, 128", 0, 3e+4, 4.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_sinf4_u10   , "sin, SP, 128", 0, 1e+20, 1.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_cosf4_u10   , "cos, SP, 128", 0, 1e+20, 1.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_tanf4_u10   , "tan, SP, 128", 0, 1e+20, 1.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_sincosf4_u10, "sincos, SP, 128", 0, 1e+20, 1.0, abufsp, vfloat);
+
+  callFuncSLEEF1_1(Sleef_sinf4_u35   , "sin, SP, 128", 0, 1e+20, 4.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_cosf4_u35   , "cos, SP, 128", 0, 1e+20, 4.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_tanf4_u35   , "tan, SP, 128", 0, 1e+20, 4.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_sincosf4_u35, "sincos, SP, 128", 0, 1e+20, 4.0, abufsp, vfloat);
 }
 
 void benchSleef128_SPNontrig() {
diff --git a/src/libm-benchmarks/benchsleef256.c b/src/libm-benchmarks/benchsleef256.c
index 5acd6b62..5d3351c0 100644
--- a/src/libm-benchmarks/benchsleef256.c
+++ b/src/libm-benchmarks/benchsleef256.c
@@ -58,6 +58,18 @@ void benchSleef256_DPTrig() {
   callFuncSLEEF1_1(Sleef_cosd4_u35   , "cos, DP, 256", 0, 1e+6, 4.0, abufdp, vdouble);
   callFuncSLEEF1_1(Sleef_tand4_u35   , "tan, DP, 256", 0, 1e+6, 4.0, abufdp, vdouble);
   callFuncSLEEF1_1(Sleef_sincosd4_u35, "sincos, DP, 256", 0, 1e+6, 4.0, abufdp, vdouble);
+
+  fillDP(abufdp, 0, 1e+100);
+  
+  callFuncSLEEF1_1(Sleef_sind4_u10   , "sin, DP, 256", 0, 1e+100, 1.0, abufdp, vdouble);
+  callFuncSLEEF1_1(Sleef_cosd4_u10   , "cos, DP, 256", 0, 1e+100, 1.0, abufdp, vdouble);
+  callFuncSLEEF1_1(Sleef_tand4_u10   , "tan, DP, 256", 0, 1e+100, 1.0, abufdp, vdouble);
+  callFuncSLEEF1_1(Sleef_sincosd4_u10, "sincos, DP, 256", 0, 1e+100, 1.0, abufdp, vdouble);
+
+  callFuncSLEEF1_1(Sleef_sind4_u35   , "sin, DP, 256", 0, 1e+100, 4.0, abufdp, vdouble);
+  callFuncSLEEF1_1(Sleef_cosd4_u35   , "cos, DP, 256", 0, 1e+100, 4.0, abufdp, vdouble);
+  callFuncSLEEF1_1(Sleef_tand4_u35   , "tan, DP, 256", 0, 1e+100, 4.0, abufdp, vdouble);
+  callFuncSLEEF1_1(Sleef_sincosd4_u35, "sincos, DP, 256", 0, 1e+100, 4.0, abufdp, vdouble);
 }
   
 void benchSleef256_DPNontrig() {
@@ -108,17 +120,17 @@ void benchSleef256_SPTrig() {
   callFuncSLEEF1_1(Sleef_tanf8_u35   , "tan, SP, 256", 0, 6.28, 4.0, abufsp, vfloat);
   callFuncSLEEF1_1(Sleef_sincosf8_u35, "sincos, SP, 256", 0, 6.28, 4.0, abufsp, vfloat);
 
-  fillSP(abufsp, 0, 3e+4);
+  fillSP(abufsp, 0, 1e+20);
   
-  callFuncSLEEF1_1(Sleef_sinf8_u10   , "sin, SP, 256", 0, 3e+4, 1.0, abufsp, vfloat);
-  callFuncSLEEF1_1(Sleef_cosf8_u10   , "cos, SP, 256", 0, 3e+4, 1.0, abufsp, vfloat);
-  callFuncSLEEF1_1(Sleef_tanf8_u10   , "tan, SP, 256", 0, 3e+4, 1.0, abufsp, vfloat);
-  callFuncSLEEF1_1(Sleef_sincosf8_u10, "sincos, SP, 256", 0, 3e+4, 1.0, abufsp, vfloat);
-
-  callFuncSLEEF1_1(Sleef_sinf8_u35   , "sin, SP, 256", 0, 3e+4, 4.0, abufsp, vfloat);
-  callFuncSLEEF1_1(Sleef_cosf8_u35   , "cos, SP, 256", 0, 3e+4, 4.0, abufsp, vfloat);
-  callFuncSLEEF1_1(Sleef_tanf8_u35   , "tan, SP, 256", 0, 3e+4, 4.0, abufsp, vfloat);
-  callFuncSLEEF1_1(Sleef_sincosf8_u35, "sincos, SP, 256", 0, 3e+4, 4.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_sinf8_u10   , "sin, SP, 256", 0, 1e+20, 1.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_cosf8_u10   , "cos, SP, 256", 0, 1e+20, 1.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_tanf8_u10   , "tan, SP, 256", 0, 1e+20, 1.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_sincosf8_u10, "sincos, SP, 256", 0, 1e+20, 1.0, abufsp, vfloat);
+
+  callFuncSLEEF1_1(Sleef_sinf8_u35   , "sin, SP, 256", 0, 1e+20, 4.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_cosf8_u35   , "cos, SP, 256", 0, 1e+20, 4.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_tanf8_u35   , "tan, SP, 256", 0, 1e+20, 4.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_sincosf8_u35, "sincos, SP, 256", 0, 1e+20, 4.0, abufsp, vfloat);
 }
 
 void benchSleef256_SPNontrig() {
diff --git a/src/libm-benchmarks/benchsleef512.c b/src/libm-benchmarks/benchsleef512.c
index 825906fa..3596c933 100644
--- a/src/libm-benchmarks/benchsleef512.c
+++ b/src/libm-benchmarks/benchsleef512.c
@@ -58,6 +58,18 @@ void benchSleef512_DPTrig() {
   callFuncSLEEF1_1(Sleef_cosd8_u35   , "cos, DP, 512", 0, 1e+6, 4.0, abufdp, vdouble);
   callFuncSLEEF1_1(Sleef_tand8_u35   , "tan, DP, 512", 0, 1e+6, 4.0, abufdp, vdouble);
   callFuncSLEEF1_1(Sleef_sincosd8_u35, "sincos, DP, 512", 0, 1e+6, 4.0, abufdp, vdouble);
+
+  fillDP(abufdp, 0, 1e+100);
+  
+  callFuncSLEEF1_1(Sleef_sind8_u10   , "sin, DP, 512", 0, 1e+100, 1.0, abufdp, vdouble);
+  callFuncSLEEF1_1(Sleef_cosd8_u10   , "cos, DP, 512", 0, 1e+100, 1.0, abufdp, vdouble);
+  callFuncSLEEF1_1(Sleef_tand8_u10   , "tan, DP, 512", 0, 1e+100, 1.0, abufdp, vdouble);
+  callFuncSLEEF1_1(Sleef_sincosd8_u10, "sincos, DP, 512", 0, 1e+100, 1.0, abufdp, vdouble);
+
+  callFuncSLEEF1_1(Sleef_sind8_u35   , "sin, DP, 512", 0, 1e+100, 4.0, abufdp, vdouble);
+  callFuncSLEEF1_1(Sleef_cosd8_u35   , "cos, DP, 512", 0, 1e+100, 4.0, abufdp, vdouble);
+  callFuncSLEEF1_1(Sleef_tand8_u35   , "tan, DP, 512", 0, 1e+100, 4.0, abufdp, vdouble);
+  callFuncSLEEF1_1(Sleef_sincosd8_u35, "sincos, DP, 512", 0, 1e+100, 4.0, abufdp, vdouble);
 }
   
 void benchSleef512_DPNontrig() {
@@ -108,17 +120,17 @@ void benchSleef512_SPTrig() {
   callFuncSLEEF1_1(Sleef_tanf16_u35   , "tan, SP, 512", 0, 6.28, 4.0, abufsp, vfloat);
   callFuncSLEEF1_1(Sleef_sincosf16_u35, "sincos, SP, 512", 0, 6.28, 4.0, abufsp, vfloat);
 
-  fillSP(abufsp, 0, 3e+4);
+  fillSP(abufsp, 0, 1e+20);
   
-  callFuncSLEEF1_1(Sleef_sinf16_u10   , "sin, SP, 512", 0, 3e+4, 1.0, abufsp, vfloat);
-  callFuncSLEEF1_1(Sleef_cosf16_u10   , "cos, SP, 512", 0, 3e+4, 1.0, abufsp, vfloat);
-  callFuncSLEEF1_1(Sleef_tanf16_u10   , "tan, SP, 512", 0, 3e+4, 1.0, abufsp, vfloat);
-  callFuncSLEEF1_1(Sleef_sincosf16_u10, "sincos, SP, 512", 0, 3e+4, 1.0, abufsp, vfloat);
-
-  callFuncSLEEF1_1(Sleef_sinf16_u35   , "sin, SP, 512", 0, 3e+4, 4.0, abufsp, vfloat);
-  callFuncSLEEF1_1(Sleef_cosf16_u35   , "cos, SP, 512", 0, 3e+4, 4.0, abufsp, vfloat);
-  callFuncSLEEF1_1(Sleef_tanf16_u35   , "tan, SP, 512", 0, 3e+4, 4.0, abufsp, vfloat);
-  callFuncSLEEF1_1(Sleef_sincosf16_u35, "sincos, SP, 512", 0, 3e+4, 4.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_sinf16_u10   , "sin, SP, 512", 0, 1e+20, 1.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_cosf16_u10   , "cos, SP, 512", 0, 1e+20, 1.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_tanf16_u10   , "tan, SP, 512", 0, 1e+20, 1.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_sincosf16_u10, "sincos, SP, 512", 0, 1e+20, 1.0, abufsp, vfloat);
+
+  callFuncSLEEF1_1(Sleef_sinf16_u35   , "sin, SP, 512", 0, 1e+20, 4.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_cosf16_u35   , "cos, SP, 512", 0, 1e+20, 4.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_tanf16_u35   , "tan, SP, 512", 0, 1e+20, 4.0, abufsp, vfloat);
+  callFuncSLEEF1_1(Sleef_sincosf16_u35, "sincos, SP, 512", 0, 1e+20, 4.0, abufsp, vfloat);
 }
 
 void benchSleef512_SPNontrig() {
diff --git a/src/libm-benchmarks/benchsvml128.c b/src/libm-benchmarks/benchsvml128.c
index 9ad01952..e9a316aa 100644
--- a/src/libm-benchmarks/benchsvml128.c
+++ b/src/libm-benchmarks/benchsvml128.c
@@ -46,6 +46,13 @@ void benchSVML128_DPTrig() {
   callFuncSVML1_1(_mm_cos_pd   , "cos, DP, 128", 0, 1e+6, abufdp, vdouble);
   callFuncSVML1_1(_mm_tan_pd   , "tan, DP, 128", 0, 1e+6, abufdp, vdouble);
   callFuncSVML2_1(_mm_sincos_pd, "sincos, DP, 128", 0, 1e+6, abufdp, vdouble);
+
+  fillDP(abufdp, 0, 1e+100);
+  
+  callFuncSVML1_1(_mm_sin_pd   , "sin, DP, 128", 0, 1e+100, abufdp, vdouble);
+  callFuncSVML1_1(_mm_cos_pd   , "cos, DP, 128", 0, 1e+100, abufdp, vdouble);
+  callFuncSVML1_1(_mm_tan_pd   , "tan, DP, 128", 0, 1e+100, abufdp, vdouble);
+  callFuncSVML2_1(_mm_sincos_pd, "sincos, DP, 128", 0, 1e+100, abufdp, vdouble);
 }
   
 void benchSVML128_DPNontrig() {
@@ -89,12 +96,12 @@ void benchSVML128_SPTrig() {
   callFuncSVML1_1(_mm_tan_ps   , "tan, SP, 128", 0, 6.28, abufsp, vfloat);
   callFuncSVML2_1(_mm_sincos_ps, "sincos, SP, 128", 0, 6.28, abufsp, vfloat);
 
-  fillSP(abufsp, 0, 3e+4);
+  fillSP(abufsp, 0, 1e+20);
   
-  callFuncSVML1_1(_mm_sin_ps   , "sin, SP, 128", 0, 3e+4, abufsp, vfloat);
-  callFuncSVML1_1(_mm_cos_ps   , "cos, SP, 128", 0, 3e+4, abufsp, vfloat);
-  callFuncSVML1_1(_mm_tan_ps   , "tan, SP, 128", 0, 3e+4, abufsp, vfloat);
-  callFuncSVML2_1(_mm_sincos_ps, "sincos, SP, 128", 0, 3e+4, abufsp, vfloat);
+  callFuncSVML1_1(_mm_sin_ps   , "sin, SP, 128", 0, 1e+20, abufsp, vfloat);
+  callFuncSVML1_1(_mm_cos_ps   , "cos, SP, 128", 0, 1e+20, abufsp, vfloat);
+  callFuncSVML1_1(_mm_tan_ps   , "tan, SP, 128", 0, 1e+20, abufsp, vfloat);
+  callFuncSVML2_1(_mm_sincos_ps, "sincos, SP, 128", 0, 1e+20, abufsp, vfloat);
 }
 
 void benchSVML128_SPNontrig() {
diff --git a/src/libm-benchmarks/benchsvml256.c b/src/libm-benchmarks/benchsvml256.c
index 5ab7d422..5dc1388a 100644
--- a/src/libm-benchmarks/benchsvml256.c
+++ b/src/libm-benchmarks/benchsvml256.c
@@ -48,6 +48,13 @@ void benchSVML256_DPTrig() {
   callFuncSVML1_1(_mm256_cos_pd   , "cos, DP, 256", 0, 1e+6, abufdp, vdouble);
   callFuncSVML1_1(_mm256_tan_pd   , "tan, DP, 256", 0, 1e+6, abufdp, vdouble);
   callFuncSVML2_1(_mm256_sincos_pd, "sincos, DP, 256", 0, 1e+6, abufdp, vdouble);
+
+  fillDP(abufdp, 0, 1e+100);
+  
+  callFuncSVML1_1(_mm256_sin_pd   , "sin, DP, 256", 0, 1e+100, abufdp, vdouble);
+  callFuncSVML1_1(_mm256_cos_pd   , "cos, DP, 256", 0, 1e+100, abufdp, vdouble);
+  callFuncSVML1_1(_mm256_tan_pd   , "tan, DP, 256", 0, 1e+100, abufdp, vdouble);
+  callFuncSVML2_1(_mm256_sincos_pd, "sincos, DP, 256", 0, 1e+100, abufdp, vdouble);
 }
   
 void benchSVML256_DPNontrig() {
@@ -91,12 +98,12 @@ void benchSVML256_SPTrig() {
   callFuncSVML1_1(_mm256_tan_ps   , "tan, SP, 256", 0, 6.28, abufsp, vfloat);
   callFuncSVML2_1(_mm256_sincos_ps, "sincos, SP, 256", 0, 6.28, abufsp, vfloat);
 
-  fillSP(abufsp, 0, 3e+4);
+  fillSP(abufsp, 0, 1e+20);
   
-  callFuncSVML1_1(_mm256_sin_ps   , "sin, SP, 256", 0, 3e+4, abufsp, vfloat);
-  callFuncSVML1_1(_mm256_cos_ps   , "cos, SP, 256", 0, 3e+4, abufsp, vfloat);
-  callFuncSVML1_1(_mm256_tan_ps   , "tan, SP, 256", 0, 3e+4, abufsp, vfloat);
-  callFuncSVML2_1(_mm256_sincos_ps, "sincos, SP, 256", 0, 3e+4, abufsp, vfloat);
+  callFuncSVML1_1(_mm256_sin_ps   , "sin, SP, 256", 0, 1e+20, abufsp, vfloat);
+  callFuncSVML1_1(_mm256_cos_ps   , "cos, SP, 256", 0, 1e+20, abufsp, vfloat);
+  callFuncSVML1_1(_mm256_tan_ps   , "tan, SP, 256", 0, 1e+20, abufsp, vfloat);
+  callFuncSVML2_1(_mm256_sincos_ps, "sincos, SP, 256", 0, 1e+20, abufsp, vfloat);
 }
 
 void benchSVML256_SPNontrig() {
diff --git a/src/libm-benchmarks/benchsvml512.c b/src/libm-benchmarks/benchsvml512.c
index 6653ed7c..46d682b2 100644
--- a/src/libm-benchmarks/benchsvml512.c
+++ b/src/libm-benchmarks/benchsvml512.c
@@ -46,6 +46,13 @@ void benchSVML512_DPTrig() {
   callFuncSVML1_1(_mm512_cos_pd   , "cos, DP, 512", 0, 1e+6, abufdp, vdouble);
   callFuncSVML1_1(_mm512_tan_pd   , "tan, DP, 512", 0, 1e+6, abufdp, vdouble);
   callFuncSVML2_1(_mm512_sincos_pd, "sincos, DP, 512", 0, 1e+6, abufdp, vdouble);
+
+  fillDP(abufdp, 0, 1e+100);
+  
+  callFuncSVML1_1(_mm512_sin_pd   , "sin, DP, 512", 0, 1e+100, abufdp, vdouble);
+  callFuncSVML1_1(_mm512_cos_pd   , "cos, DP, 512", 0, 1e+100, abufdp, vdouble);
+  callFuncSVML1_1(_mm512_tan_pd   , "tan, DP, 512", 0, 1e+100, abufdp, vdouble);
+  callFuncSVML2_1(_mm512_sincos_pd, "sincos, DP, 512", 0, 1e+100, abufdp, vdouble);
 }
   
 void benchSVML512_DPNontrig() {
@@ -89,12 +96,12 @@ void benchSVML512_SPTrig() {
   callFuncSVML1_1(_mm512_tan_ps   , "tan, SP, 512", 0, 6.28, abufsp, vfloat);
   callFuncSVML2_1(_mm512_sincos_ps, "sincos, SP, 512", 0, 6.28, abufsp, vfloat);
 
-  fillSP(abufsp, 0, 3e+4);
+  fillSP(abufsp, 0, 1e+20);
   
-  callFuncSVML1_1(_mm512_sin_ps   , "sin, SP, 512", 0, 3e+4, abufsp, vfloat);
-  callFuncSVML1_1(_mm512_cos_ps   , "cos, SP, 512", 0, 3e+4, abufsp, vfloat);
-  callFuncSVML1_1(_mm512_tan_ps   , "tan, SP, 512", 0, 3e+4, abufsp, vfloat);
-  callFuncSVML2_1(_mm512_sincos_ps, "sincos, SP, 512", 0, 3e+4, abufsp, vfloat);
+  callFuncSVML1_1(_mm512_sin_ps   , "sin, SP, 512", 0, 1e+20, abufsp, vfloat);
+  callFuncSVML1_1(_mm512_cos_ps   , "cos, SP, 512", 0, 1e+20, abufsp, vfloat);
+  callFuncSVML1_1(_mm512_tan_ps   , "tan, SP, 512", 0, 1e+20, abufsp, vfloat);
+  callFuncSVML2_1(_mm512_sincos_ps, "sincos, SP, 512", 0, 1e+20, abufsp, vfloat);
 }
 
 void benchSVML512_SPNontrig() {
diff --git a/src/libm-tester/tester.c b/src/libm-tester/tester.c
index d0bbd15d..97652594 100644
--- a/src/libm-tester/tester.c
+++ b/src/libm-tester/tester.c
@@ -1,4 +1,4 @@
-//          Copyright Naoki Shibata 2010 - 2017.
+//          Copyright Naoki Shibata 2010 - 2018.
 // Distributed under the Boost Software License, Version 1.0.
 //    (See accompanying file LICENSE.txt or copy at
 //          http://www.boost.org/LICENSE_1_0.txt)
@@ -3520,6 +3520,7 @@ void do_test() {
     fprintf(stderr, "sin : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_d(mpfr_sin, child_sin, d, 3.5);
     for(d = -1e+14;d < 1e+14 && success;d += (1e+10 + 0.1)) checkAccuracy_d(mpfr_sin, child_sin, d, 3.5);
+    for(i = 0;i < 920 && success;i++) checkAccuracy_d(mpfr_sin, child_sin, pow(2.1, i), 3.5);
     for(i64=(int64_t)-1e+14;i64<(int64_t)1e+14 && success;i64+=(int64_t)1e+12) {
       double start = u2d(d2u(M_PI_4 * i64)-20), end = u2d(d2u(M_PI_4 * i64)+20);
       for(d = start;d <= end;d = u2d(d2u(d)+1)) checkAccuracy_d(mpfr_sin, child_sin, d, 3.5);
@@ -3531,6 +3532,7 @@ void do_test() {
     fprintf(stderr, "sin_u1 : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_d(mpfr_sin, child_sin_u1, d, 1.0);
     for(d = -1e+14;d < 1e+14 && success;d += (1e+10 + 0.1)) checkAccuracy_d(mpfr_sin, child_sin_u1, d, 1.0);
+    for(i = 0;i < 920 && success;i++) checkAccuracy_d(mpfr_sin, child_sin_u1, pow(2.1, i), 1.0);
     for(i64=(int64_t)-1e+14;i64<(int64_t)1e+14 && success;i64+=(int64_t)1e+12) {
       double start = u2d(d2u(M_PI_4 * i64)-20), end = u2d(d2u(M_PI_4 * i64)+20);
       for(d = start;d <= end;d = u2d(d2u(d)+1)) checkAccuracy_d(mpfr_sin, child_sin_u1, d, 1.0);
@@ -3542,6 +3544,7 @@ void do_test() {
     fprintf(stderr, "sin in sincos : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracyX_d(mpfr_sin, child_sincos, d, 3.5);
     for(d = -1e+14;d < 1e+14 && success;d += (1e+10 + 0.1)) checkAccuracyX_d(mpfr_sin, child_sincos, d, 3.5);
+    for(i = 0;i < 920 && success;i++) checkAccuracyX_d(mpfr_sin, child_sincos, pow(2.1, i), 3.5);
     for(i=1;i<10000 && success;i+=31) {
       double start = u2d(d2u(M_PI_4 * i)-20), end = u2d(d2u(M_PI_4 * i)+20);
       for(d = start;d <= end;d = u2d(d2u(d)+1)) checkAccuracyX_d(mpfr_sin, child_sincos, d, 3.5);
@@ -3553,6 +3556,7 @@ void do_test() {
     fprintf(stderr, "sin in sincos_u1 : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracyX_d(mpfr_sin, child_sincos_u1, d, 1.0);
     for(d = -1e+14;d < 1e+14 && success;d += (1e+10 + 0.1)) checkAccuracyX_d(mpfr_sin, child_sincos_u1, d, 1.0);
+    for(i = 0;i < 920 && success;i++) checkAccuracyX_d(mpfr_sin, child_sincos_u1, pow(2.1, i), 1.0);
     for(i=1;i<10000 && success;i+=31) {
       double start = u2d(d2u(M_PI_4 * i)-20), end = u2d(d2u(M_PI_4 * i)+20);
       for(d = start;d <= end;d = u2d(d2u(d)+1)) checkAccuracyX_d(mpfr_sin, child_sincos_u1, d, 1.0);
@@ -3628,6 +3632,7 @@ void do_test() {
     fprintf(stderr, "cos : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_d(mpfr_cos, child_cos, d, 3.5);
     for(d = -1e+14;d < 1e+14 && success;d += (1e+10 + 0.1)) checkAccuracy_d(mpfr_cos, child_cos, d, 3.5);
+    for(i = 0;i < 920 && success;i++) checkAccuracy_d(mpfr_cos, child_cos, pow(2.1, i), 3.5);
     for(i64=(int64_t)-1e+14;i64<(int64_t)1e+14 && success;i64+=(int64_t)1e+12) {
       double start = u2d(d2u(M_PI_4 * i64)-20), end = u2d(d2u(M_PI_4 * i64)+20);
       for(d = start;d <= end;d = u2d(d2u(d)+1)) checkAccuracy_d(mpfr_cos, child_cos, d, 3.5);
@@ -3639,6 +3644,7 @@ void do_test() {
     fprintf(stderr, "cos_u1 : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_d(mpfr_cos, child_cos_u1, d, 1.0);
     for(d = -1e+14;d < 1e+14 && success;d += (1e+10 + 0.1)) checkAccuracy_d(mpfr_cos, child_cos_u1, d, 1.0);
+    for(i = 0;i < 920 && success;i++) checkAccuracy_d(mpfr_cos, child_cos_u1, pow(2.1, i), 1.0);
     for(i64=(int64_t)-1e+14;i64<(int64_t)1e+14 && success;i64+=(int64_t)1e+12) {
       double start = u2d(d2u(M_PI_4 * i64)-20), end = u2d(d2u(M_PI_4 * i64)+20);
       for(d = start;d <= end;d = u2d(d2u(d)+1)) checkAccuracy_d(mpfr_cos, child_cos_u1, d, 1.0);
@@ -3650,6 +3656,7 @@ void do_test() {
     fprintf(stderr, "cos in sincos : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracyY_d(mpfr_cos, child_sincos, d, 3.5);
     for(d = -1e+14;d < 1e+14 && success;d += (1e+10 + 0.1)) checkAccuracyY_d(mpfr_cos, child_sincos, d, 3.5);
+    for(i = 0;i < 920 && success;i++) checkAccuracyY_d(mpfr_cos, child_sincos, pow(2.1, i), 3.5);
     for(i=1;i<10000 && success;i+=31) {
       double start = u2d(d2u(M_PI_4 * i)-20), end = u2d(d2u(M_PI_4 * i)+20);
       for(d = start;d <= end;d = u2d(d2u(d)+1)) checkAccuracyY_d(mpfr_cos, child_sincos, d, 3.5);
@@ -3661,6 +3668,7 @@ void do_test() {
     fprintf(stderr, "cos in sincos_u1 : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracyY_d(mpfr_cos, child_sincos_u1, d, 1.0);
     for(d = -1e+14;d < 1e+14 && success;d += (1e+10 + 0.1)) checkAccuracyY_d(mpfr_cos, child_sincos_u1, d, 1.0);
+    for(i = 0;i < 920 && success;i++) checkAccuracyY_d(mpfr_cos, child_sincos_u1, pow(2.1, i), 1.0);
     for(i=1;i<10000 && success;i+=31) {
       double start = u2d(d2u(M_PI_4 * i)-20), end = u2d(d2u(M_PI_4 * i)+20);
       for(d = start;d <= end;d = u2d(d2u(d)+1)) checkAccuracyY_d(mpfr_cos, child_sincos_u1, d, 1.0);
@@ -3706,7 +3714,8 @@ void do_test() {
     fprintf(stderr, "tan : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_d(mpfr_tan, child_tan, d, 3.5);
     for(d = -1e+7;d < 1e+7 && success;d += 1000.1) checkAccuracy_d(mpfr_tan, child_tan, d, 3.5);
-    for(d = -1e+14;d < 1e+14 && success;d += (1e+10 + 0.1)) checkAccuracy_d(mpfr_tan, child_tan, d, 5);
+    for(d = -1e+14;d < 1e+14 && success;d += (1e+10 + 0.1)) checkAccuracy_d(mpfr_tan, child_tan, d, 3.5);
+    for(i = 0;i < 920 && success;i++) checkAccuracy_d(mpfr_tan, child_tan, pow(2.1, i), 3.5);
     for(i=1;i<10000 && success;i+=31) {
       double start = u2d(d2u(M_PI_4 * i)-20), end = u2d(d2u(M_PI_4 * i)+20);
       for(d = start;d <= end;d = u2d(d2u(d)+1)) checkAccuracy_d(mpfr_tan, child_tan, d, 3.5);
@@ -3719,6 +3728,7 @@ void do_test() {
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_d(mpfr_tan, child_tan_u1, d, 1.0);
     for(d = -1e+7;d < 1e+7 && success;d += 1000.1) checkAccuracy_d(mpfr_tan, child_tan_u1, d, 1.0);
     for(d = -1e+14;d < 1e+14 && success;d += (1e+10 + 0.1)) checkAccuracy_d(mpfr_tan, child_tan_u1, d, 1.0);
+    for(i = 0;i < 920 && success;i++) checkAccuracy_d(mpfr_tan, child_tan_u1, pow(2.1, i), 1.0);
     for(i=1;i<10000 && success;i+=31) {
       double start = u2d(d2u(M_PI_4 * i)-20), end = u2d(d2u(M_PI_4 * i)+20);
       for(d = start;d <= end;d = u2d(d2u(d)+1)) checkAccuracy_d(mpfr_tan, child_tan_u1, d, 1.0);
@@ -4256,6 +4266,7 @@ void do_test() {
     fprintf(stderr, "sinf : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_f(mpfr_sin, child_sinf, d, 3.5);
     for(d = -10000;d < 10000 && success;d += 1.1) checkAccuracy_f(mpfr_sin, child_sinf, d, 3.5);
+    for(i = 0;i < 1000 && success;i++) checkAccuracy_f(mpfr_sin, child_sinf, pow(1.06, i), 3.5);
     for(i64=(int64_t)-1000;i64<(int64_t)1000 && success;i64+=(int64_t)1) {
       double start = u2f(f2u(M_PI_4 * i64)-20), end = u2f(f2u(M_PI_4 * i64)+20);
       for(d = start;d <= end;d = u2f(f2u(d)+1)) checkAccuracy_f(mpfr_sin, child_sinf, d, 3.5);
@@ -4267,6 +4278,7 @@ void do_test() {
     fprintf(stderr, "sinf_u1 : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_f(mpfr_sin, child_sinf_u1, d, 1.0);
     for(d = -10000;d < 10000 && success;d += 1.1) checkAccuracy_f(mpfr_sin, child_sinf_u1, d, 1.0);
+    for(i = 0;i < 1000 && success;i++) checkAccuracy_f(mpfr_sin, child_sinf_u1, pow(1.06, i), 1.0);
     for(i64=(int64_t)-1000;i64<(int64_t)1000 && success;i64+=(int64_t)1) {
       double start = u2f(f2u(M_PI_4 * i64)-20), end = u2f(f2u(M_PI_4 * i64)+20);
       for(d = start;d <= end;d = u2f(f2u(d)+1)) checkAccuracy_f(mpfr_sin, child_sinf_u1, d, 1.0);
@@ -4278,6 +4290,7 @@ void do_test() {
     fprintf(stderr, "sin in sincosf : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracyX_f(mpfr_sin, child_sincosf, d, 3.5);
     for(d = -10000;d < 10000 && success;d += 1.1) checkAccuracyX_f(mpfr_sin, child_sincosf, d, 3.5);
+    for(i = 0;i < 1000 && success;i++) checkAccuracyX_f(mpfr_sin, child_sincosf, pow(1.06, i), 3.5);
     for(i=1;i<10000 && success;i+=31) {
       double start = u2f(f2u(M_PI_4 * i)-20), end = u2f(f2u(M_PI_4 * i)+20);
       for(d = start;d <= end;d = u2f(f2u(d)+1)) checkAccuracyX_f(mpfr_sin, child_sincosf, d, 3.5);
@@ -4289,6 +4302,7 @@ void do_test() {
     fprintf(stderr, "sin in sincosf_u1 : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracyX_f(mpfr_sin, child_sincosf_u1, d, 1.0);
     for(d = -10000;d < 10000 && success;d += 1.1) checkAccuracyX_f(mpfr_sin, child_sincosf_u1, d, 1.0);
+    for(i = 0;i < 1000 && success;i++) checkAccuracyX_f(mpfr_sin, child_sincosf_u1, pow(1.06, i), 1.0);
     for(i=1;i<10000 && success;i+=31) {
       double start = u2f(f2u(M_PI_4 * i)-20), end = u2f(f2u(M_PI_4 * i)+20);
       for(d = start;d <= end;d = u2f(f2u(d)+1)) checkAccuracyX_f(mpfr_sin, child_sincosf_u1, d, 1.0);
@@ -4364,6 +4378,7 @@ void do_test() {
     fprintf(stderr, "cosf : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_f(mpfr_cos, child_cosf, d, 3.5);
     for(d = -10000;d < 10000 && success;d += 1.1) checkAccuracy_f(mpfr_cos, child_cosf, d, 3.5);
+    for(i = 0;i < 1000 && success;i++) checkAccuracy_f(mpfr_cos, child_cosf, pow(1.06, i), 3.5);
     for(i64=(int64_t)-1000;i64<(int64_t)1000 && success;i64+=(int64_t)1) {
       double start = u2f(f2u(M_PI_4 * i64)-20), end = u2f(f2u(M_PI_4 * i64)+20);
       for(d = start;d <= end;d = u2f(f2u(d)+1)) checkAccuracy_f(mpfr_cos, child_cosf, d, 3.5);
@@ -4375,6 +4390,7 @@ void do_test() {
     fprintf(stderr, "cosf_u1 : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_f(mpfr_cos, child_cosf_u1, d, 1.0);
     for(d = -10000;d < 10000 && success;d += 1.1) checkAccuracy_f(mpfr_cos, child_cosf_u1, d, 1.0);
+    for(i = 0;i < 1000 && success;i++) checkAccuracy_f(mpfr_cos, child_cosf_u1, pow(1.06, i), 1.0);
     for(i64=(int64_t)-1000;i64<(int64_t)1000 && success;i64+=(int64_t)1) {
       double start = u2f(f2u(M_PI_4 * i64)-20), end = u2f(f2u(M_PI_4 * i64)+20);
       for(d = start;d <= end;d = u2f(f2u(d)+1)) checkAccuracy_f(mpfr_cos, child_cosf_u1, d, 1.0);
@@ -4386,6 +4402,7 @@ void do_test() {
     fprintf(stderr, "cos in sincosf : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracyY_f(mpfr_cos, child_sincosf, d, 3.5);
     for(d = -10000;d < 10000 && success;d += 1.1) checkAccuracyY_f(mpfr_cos, child_sincosf, d, 3.5);
+    for(i = 0;i < 1000 && success;i++) checkAccuracyY_f(mpfr_cos, child_sincosf, pow(1.06, i), 3.5);
     for(i=1;i<10000 && success;i+=31) {
       double start = u2f(f2u(M_PI_4 * i)-20), end = u2f(f2u(M_PI_4 * i)+20);
       for(d = start;d <= end;d = u2f(f2u(d)+1)) checkAccuracyY_f(mpfr_cos, child_sincosf, d, 3.5);
@@ -4397,6 +4414,7 @@ void do_test() {
     fprintf(stderr, "cos in sincosf_u1 : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracyY_f(mpfr_cos, child_sincosf_u1, d, 1.0);
     for(d = -10000;d < 10000 && success;d += 1.1) checkAccuracyY_f(mpfr_cos, child_sincosf_u1, d, 1.0);
+    for(i = 0;i < 1000 && success;i++) checkAccuracyY_f(mpfr_cos, child_sincosf_u1, pow(1.06, i), 1.0);
     for(i=1;i<10000 && success;i+=31) {
       double start = u2f(f2u(M_PI_4 * i)-20), end = u2f(f2u(M_PI_4 * i)+20);
       for(d = start;d <= end;d = u2f(f2u(d)+1)) checkAccuracyY_f(mpfr_cos, child_sincosf_u1, d, 1.0);
@@ -4442,6 +4460,7 @@ void do_test() {
     fprintf(stderr, "tanf : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_f(mpfr_tan, child_tanf, d, 3.5);
     for(d = -10000;d < 10000 && success;d += 1.1) checkAccuracy_f(mpfr_tan, child_tanf, d, 3.5);
+    for(i = 0;i < 1000 && success;i++) checkAccuracy_f(mpfr_tan, child_tanf, pow(1.06, i), 3.5);
     for(i=1;i<10000 && success;i+=31) {
       double start = u2f(f2u(M_PI_4 * i)-20), end = u2f(f2u(M_PI_4 * i)+20);
       for(d = start;d <= end;d = u2f(f2u(d)+1)) checkAccuracy_f(mpfr_tan, child_tanf, d, 3.5);
@@ -4453,6 +4472,7 @@ void do_test() {
     fprintf(stderr, "tanf_u1 : ");
     for(d = -10;d < 10 && success;d += 0.002) checkAccuracy_f(mpfr_tan, child_tanf_u1, d, 1.0);
     for(d = -10000;d < 10000 && success;d += 1.1) checkAccuracy_f(mpfr_tan, child_tanf_u1, d, 1.0);
+    for(i = 0;i < 1000 && success;i++) checkAccuracy_f(mpfr_tan, child_tanf_u1, pow(1.06, i), 1.0);
     for(i=1;i<10000 && success;i+=31) {
       double start = u2f(f2u(M_PI_4 * i)-20), end = u2f(f2u(M_PI_4 * i)+20);
       for(d = start;d <= end;d = u2f(f2u(d)+1)) checkAccuracy_f(mpfr_tan, child_tanf_u1, d, 1.0);
diff --git a/src/libm-tester/tester2dp.c b/src/libm-tester/tester2dp.c
index c62f0dff..617f41ff 100644
--- a/src/libm-tester/tester2dp.c
+++ b/src/libm-tester/tester2dp.c
@@ -1,4 +1,4 @@
-//          Copyright Naoki Shibata 2010 - 2017.
+//          Copyright Naoki Shibata 2010 - 2018.
 // Distributed under the Boost Software License, Version 1.0.
 //    (See accompanying file LICENSE.txt or copy at
 //          http://www.boost.org/LICENSE_1_0.txt)
@@ -109,7 +109,7 @@ int main(int argc,char **argv)
   
   srandom(time(NULL));
 
-  const double rangemax = 1e+14; // 2^(24*2-1)
+  const double rangemax = 1e+299;
   
   for(cnt = 0;ecnt < 1000;cnt++) {
     switch(cnt & 7) {
@@ -120,7 +120,7 @@ int main(int argc,char **argv)
       zo = rnd();
       break;
     case 1:
-      cd.d = rint((2 * (double)random() / RAND_MAX - 1) * 1e+10) * M_PI_4;
+      cd.d = rint(rnd_zo() * 1e+10) * M_PI_4;
       cd.i64 += (random() & 0xff) - 0x7f;
       d = cd.d;
       d2 = rnd();
@@ -128,7 +128,7 @@ int main(int argc,char **argv)
       zo = rnd();
       break;
     case 2:
-      cd.d = rint((2 * (double)random() / RAND_MAX - 1) * 32) * M_PI_4;
+      cd.d = rint(rnd_zo() * 32) * M_PI_4;
       cd.i64 += (random() & 0xff) - 0x7f;
       d = cd.d;
       d2 = rnd();
@@ -213,7 +213,7 @@ int main(int argc,char **argv)
       
       if (u0 != 0 && ((fabs(d) <= rangemax && u0 > 3.5) || fabs(t) > 1 || !isnumber(t))) {
 	printf("Pure C sin arg=%.20g ulp=%.20g\n", d, u0);
-	printf("correct = %g, test = %g\n", mpfr_get_d(frx, GMP_RNDN), t);
+	printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t);
 	fflush(stdout); ecnt++;
       }
 
@@ -221,6 +221,7 @@ int main(int argc,char **argv)
       
       if (u1 != 0 && ((fabs(d) <= rangemax && u1 > 3.5) || fabs(t) > 1 || !isnumber(t))) {
 	printf("Pure C sincos sin arg=%.20g ulp=%.20g\n", d, u1);
+	printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t);
 	fflush(stdout); ecnt++;
       }
 
@@ -228,6 +229,7 @@ int main(int argc,char **argv)
       
       if (u2 != 0 && ((fabs(d) <= rangemax && u2 > 1) || fabs(t) > 1 || !isnumber(t))) {
 	printf("Pure C sin_u1 arg=%.20g ulp=%.20g\n", d, u2);
+	printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t);
 	fflush(stdout); ecnt++;
       }
 
@@ -235,6 +237,7 @@ int main(int argc,char **argv)
       
       if (u3 != 0 && ((fabs(d) <= rangemax && u3 > 1) || fabs(t) > 1 || !isnumber(t))) {
 	printf("Pure C sincos_u1 sin arg=%.20g ulp=%.20g\n", d, u3);
+	printf("correct = %.20g, test = %.20g\n", mpfr_get_d(frx, GMP_RNDN), t);
 	fflush(stdout); ecnt++;
       }
     }
@@ -278,7 +281,7 @@ int main(int argc,char **argv)
 
       double u0 = countULPdp(t = xtan(d), frx);
       
-      if (u0 != 0 && ((fabs(d) < 1e+7 && u0 > 3.5) || (fabs(d) <= rangemax && u0 > 5) || isnan(t))) {
+      if (u0 != 0 && ((fabs(d) <= rangemax && u0 > 3.5) || isnan(t))) {
 	printf("Pure C tan arg=%.20g ulp=%.20g\n", d, u0);
 	fflush(stdout); ecnt++;
       }
@@ -290,7 +293,7 @@ int main(int argc,char **argv)
 	fflush(stdout); ecnt++;
       }
     }
-    
+
     {
       mpfr_set_d(frx, fabs(d), GMP_RNDN);
       mpfr_log(frx, frx, GMP_RNDN);
@@ -378,7 +381,7 @@ int main(int argc,char **argv)
 
       double u0 = countULPdp(t = xexp10(d), frx);
       
-      if (u0 > 1) {
+      if (u0 > 1.09) {
 	printf("Pure C exp10 arg=%.20g ulp=%.20g\n", d, u0);
 	fflush(stdout); ecnt++;
       }
diff --git a/src/libm-tester/tester2simddp.c b/src/libm-tester/tester2simddp.c
index 99d8fb14..06593bb6 100644
--- a/src/libm-tester/tester2simddp.c
+++ b/src/libm-tester/tester2simddp.c
@@ -1,4 +1,4 @@
-//          Copyright Naoki Shibata 2010 - 2017.
+//          Copyright Naoki Shibata 2010 - 2018.
 // Distributed under the Boost Software License, Version 1.0.
 //    (See accompanying file LICENSE.txt or copy at
 //          http://www.boost.org/LICENSE_1_0.txt)
@@ -256,7 +256,7 @@ int main(int argc,char **argv)
   
   srandom(time(NULL));
 
-  const double rangemax = 1e+14; // 2^(24*2-1)
+  const double rangemax = 1e+299;
   
   for(cnt = 0;ecnt < 1000;cnt++) {
     int e = cnt % VECTLENDP;
@@ -268,7 +268,7 @@ int main(int argc,char **argv)
       zo = rnd();
       break;
     case 1:
-      cd.d = rint((2 * (double)random() / RAND_MAX - 1) * 1e+10) * M_PI_4;
+      cd.d = rint(rnd_zo() * 1e+10) * M_PI_4;
       cd.i64 += (random() & 0xff) - 0x7f;
       d = cd.d;
       d2 = rnd();
@@ -276,7 +276,7 @@ int main(int argc,char **argv)
       zo = rnd();
       break;
     case 2:
-      cd.d = rint((2 * (double)random() / RAND_MAX - 1) * 32) * M_PI_4;
+      cd.d = rint(rnd_zo() * 32) * M_PI_4;
       cd.i64 += (random() & 0xff) - 0x7f;
       d = cd.d;
       for(int i=0;i<VECTLENDP;i++) vd = vset(vd, i, (2 * (double)random() / RAND_MAX - 1) * 32);
@@ -356,7 +356,7 @@ int main(int argc,char **argv)
 	fflush(stdout); ecnt++;
       }
     }
-    
+
     sc = xsincos(vd);
     sc2 = xsincos_u1(vd);
     
@@ -432,7 +432,7 @@ int main(int argc,char **argv)
 
       double u0 = countULPdp(t = vget(xtan(vd), e), frx);
       
-      if (u0 != 0 && ((fabs(d) < 1e+7 && u0 > 3.5) || (fabs(d) <= rangemax && u0 > 5) || isnan(t))) {
+      if (u0 != 0 && ((fabs(d) <= rangemax && u0 > 3.5) || isnan(t))) {
 	printf(ISANAME " tan arg=%.20g ulp=%.20g\n", d, u0);
 	fflush(stdout); ecnt++;
       }
@@ -444,7 +444,7 @@ int main(int argc,char **argv)
 	fflush(stdout); ecnt++;
       }
     }
-    
+
     {
       mpfr_set_d(frx, fabs(d), GMP_RNDN);
       mpfr_log(frx, frx, GMP_RNDN);
@@ -532,7 +532,7 @@ int main(int argc,char **argv)
 
       double u0 = countULPdp(t = vget(xexp10(vd), e), frx);
       
-      if (u0 > 1) {
+      if (u0 > 1.09) {
 	printf(ISANAME " exp10 arg=%.20g ulp=%.20g\n", d, u0);
 	fflush(stdout); ecnt++;
       }
diff --git a/src/libm-tester/tester2simdsp.c b/src/libm-tester/tester2simdsp.c
index 33eaf2fe..2bb9f13c 100644
--- a/src/libm-tester/tester2simdsp.c
+++ b/src/libm-tester/tester2simdsp.c
@@ -1,4 +1,4 @@
-//          Copyright Naoki Shibata 2010 - 2017.
+//          Copyright Naoki Shibata 2010 - 2018.
 // Distributed under the Boost Software License, Version 1.0.
 //    (See accompanying file LICENSE.txt or copy at
 //          http://www.boost.org/LICENSE_1_0.txt)
@@ -228,8 +228,7 @@ int main(int argc,char **argv)
   
   srandom(time(NULL));
 
-  const float rangemax = 39000;
-  const float rangemax3 = 5e+9;
+  const float rangemax = 1e+28;
   
   for(cnt = 0;ecnt < 1000;cnt++) {
     int e = cnt % VECTLENSP;
@@ -241,7 +240,7 @@ int main(int argc,char **argv)
       zo = rnd();
       break;
     case 1:
-      cd.f = rint((2 * (double)random() / RAND_MAX - 1) * 1e+10) * M_PI_4;
+      cd.f = rint(rnd_zo() * 1e+10) * M_PI_4;
       cd.i32 += (random() & 0xff) - 0x7f;
       d = cd.f;
       d2 = rnd();
@@ -344,14 +343,14 @@ int main(int argc,char **argv)
 
       float u2 = countULPsp(t = vget(xsinf_u1(vd), e), frx);
       
-      if (u2 != 0 && ((fabs(d) <= rangemax3 && u2 > 1) || fabs(t) > 1 || !isnumber(t))) {
+      if (u2 != 0 && ((fabs(d) <= rangemax && u2 > 1) || fabs(t) > 1 || !isnumber(t))) {
 	printf(ISANAME " sinf_u1 arg=%.20g ulp=%.20g\n", d, u2);
 	fflush(stdout); ecnt++;
       }
 
       float u3 = countULPsp(t = vget(sc2.x, e), frx);
       
-      if (u3 != 0 && ((fabs(d) <= rangemax3 && u3 > 1) || fabs(t) > 1 || !isnumber(t))) {
+      if (u3 != 0 && ((fabs(d) <= rangemax && u3 > 1) || fabs(t) > 1 || !isnumber(t))) {
 	printf(ISANAME " sincosf_u1 sin arg=%.20g ulp=%.20g\n", d, u3);
 	fflush(stdout); ecnt++;
       }
@@ -377,14 +376,14 @@ int main(int argc,char **argv)
 
       float u2 = countULPsp(t = vget(xcosf_u1(vd), e), frx);
       
-      if (u2 != 0 && ((fabs(d) <= rangemax3 && u2 > 1) || fabs(t) > 1 || !isnumber(t))) {
+      if (u2 != 0 && ((fabs(d) <= rangemax && u2 > 1) || fabs(t) > 1 || !isnumber(t))) {
 	printf(ISANAME " cosf_u1 arg=%.20g ulp=%.20g\n", d, u2);
 	fflush(stdout); ecnt++;
       }
 
       float u3 = countULPsp(t = vget(sc2.y, e), frx);
       
-      if (u3 != 0 && ((fabs(d) <= rangemax3 && u3 > 1) || fabs(t) > 1 || !isnumber(t))) {
+      if (u3 != 0 && ((fabs(d) <= rangemax && u3 > 1) || fabs(t) > 1 || !isnumber(t))) {
 	printf(ISANAME " sincosf_u1 cos arg=%.20g ulp=%.20g\n", d, u3);
 	fflush(stdout); ecnt++;
       }
@@ -403,7 +402,7 @@ int main(int argc,char **argv)
 
       float u1 = countULPsp(t = vget(xtanf_u1(vd), e), frx);
       
-      if (u1 != 0 && ((fabs(d) <= rangemax3 && u1 > 1) || isnan(t))) {
+      if (u1 != 0 && ((fabs(d) <= rangemax && u1 > 1) || isnan(t))) {
 	printf(ISANAME " tanf_u1 arg=%.20g ulp=%.20g\n", d, u1);
 	fflush(stdout); ecnt++;
       }
diff --git a/src/libm-tester/tester2sp.c b/src/libm-tester/tester2sp.c
index e7756ca9..844aa1d5 100644
--- a/src/libm-tester/tester2sp.c
+++ b/src/libm-tester/tester2sp.c
@@ -1,4 +1,4 @@
-//          Copyright Naoki Shibata 2010 - 2017.
+//          Copyright Naoki Shibata 2010 - 2018.
 // Distributed under the Boost Software License, Version 1.0.
 //    (See accompanying file LICENSE.txt or copy at
 //          http://www.boost.org/LICENSE_1_0.txt)
@@ -119,8 +119,7 @@ int main(int argc,char **argv)
   
   srandom(time(NULL));
 
-  const float rangemax = 39000;
-  const float rangemax3 = 5e+9;
+  const float rangemax = 1e+28;
   
   for(cnt = 0;ecnt < 1000;cnt++) {
     switch(cnt & 7) {
@@ -131,7 +130,7 @@ int main(int argc,char **argv)
       zo = rnd();
       break;
     case 1:
-      cd.f = rint((2 * (double)random() / RAND_MAX - 1) * 1e+10) * M_PI_4;
+      cd.f = rint(rnd_zo() * 1e+10) * M_PI_4;
       cd.i32 += (random() & 0xff) - 0x7f;
       d = cd.f;
       d2 = rnd();
@@ -230,14 +229,14 @@ int main(int argc,char **argv)
 
       float u2 = countULPsp(t = xsinf_u1(d), frx);
       
-      if (u2 != 0 && ((fabs(d) <= rangemax3 && u2 > 1) || fabs(t) > 1 || !isnumber(t))) {
+      if (u2 != 0 && ((fabs(d) <= rangemax && u2 > 1) || fabs(t) > 1 || !isnumber(t))) {
 	printf("Pure C sinf_u1 arg=%.20g ulp=%.20g\n", d, u2);
 	fflush(stdout); ecnt++;
       }
 
       float u3 = countULPsp(t = sc2.x, frx);
       
-      if (u3 != 0 && ((fabs(d) <= rangemax3 && u3 > 1) || fabs(t) > 1 || !isnumber(t))) {
+      if (u3 != 0 && ((fabs(d) <= rangemax && u3 > 1) || fabs(t) > 1 || !isnumber(t))) {
 	printf("Pure C sincosf_u1 sin arg=%.20g ulp=%.20g\n", d, u3);
 	fflush(stdout); ecnt++;
       }
@@ -263,14 +262,14 @@ int main(int argc,char **argv)
 
       float u2 = countULPsp(t = xcosf_u1(d), frx);
       
-      if (u2 != 0 && ((fabs(d) <= rangemax3 && u2 > 1) || fabs(t) > 1 || !isnumber(t))) {
+      if (u2 != 0 && ((fabs(d) <= rangemax && u2 > 1) || fabs(t) > 1 || !isnumber(t))) {
 	printf("Pure C cosf_u1 arg=%.20g ulp=%.20g\n", d, u2);
 	fflush(stdout); ecnt++;
       }
 
       float u3 = countULPsp(t = sc2.y, frx);
       
-      if (u3 != 0 && ((fabs(d) <= rangemax3 && u3 > 1) || fabs(t) > 1 || !isnumber(t))) {
+      if (u3 != 0 && ((fabs(d) <= rangemax && u3 > 1) || fabs(t) > 1 || !isnumber(t))) {
 	printf("Pure C sincosf_u1 cos arg=%.20g ulp=%.20g\n", d, u3);
 	fflush(stdout); ecnt++;
       }
@@ -289,7 +288,7 @@ int main(int argc,char **argv)
 
       float u1 = countULPsp(t = xtanf_u1(d), frx);
       
-      if (u1 != 0 && ((fabs(d) <= rangemax3 && u1 > 1) || isnan(t))) {
+      if (u1 != 0 && ((fabs(d) <= rangemax && u1 > 1) || isnan(t))) {
 	printf("Pure C tanf_u1 arg=%.20g ulp=%.20g\n", d, u1);
 	fflush(stdout); ecnt++;
       }
diff --git a/src/libm/CMakeLists.txt b/src/libm/CMakeLists.txt
index 9b2dd514..5e22e2db 100644
--- a/src/libm/CMakeLists.txt
+++ b/src/libm/CMakeLists.txt
@@ -160,7 +160,7 @@ if (BUILD_SHARED_LIBS)
 endif()
 
 # Original sleef sources
-set(STANDARD_SOURCES sleefdp.c sleefsp.c)
+set(STANDARD_SOURCES sleefdp.c sleefsp.c rempitab.c)
 
 # Check for different precision support and add sources accordingly
 if(COMPILER_SUPPORTS_LONG_DOUBLE)
@@ -361,7 +361,7 @@ if(ENABLE_GNUABI)
   endforeach()
 
   # Create library 
-  add_library(${TARGET_LIBSLEEFGNUABI} ${TARGET_LIBSLEEFGNUABI_OBJECTS})
+  add_library(${TARGET_LIBSLEEFGNUABI} ${TARGET_LIBSLEEFGNUABI_OBJECTS} rempitab.c)
   
   # Library properties
   set_target_properties(${TARGET_LIBSLEEFGNUABI} PROPERTIES
diff --git a/src/libm/rempitab.c b/src/libm/rempitab.c
new file mode 100644
index 00000000..b6e5c88a
--- /dev/null
+++ b/src/libm/rempitab.c
@@ -0,0 +1,1084 @@
+//          Copyright Naoki Shibata 2010 - 2018.
+// Distributed under the Boost Software License, Version 1.0.
+//    (See accompanying file LICENSE.txt or copy at
+//          http://www.boost.org/LICENSE_1_0.txt)
+
+#include "misc.h"
+
+NOEXPORT ALIGNED(64) const double rempitabdp[] = {
+  0.15915494309189531785, 1.7916237278037667488e-17, 2.5454160968749269937e-33, 2.1132476107887107169e-49,
+  0.03415494309189533173, 4.0384494702232122736e-18, 1.0046721413651383112e-33, 2.1132476107887107169e-49,
+  0.03415494309189533173, 4.0384494702232122736e-18, 1.0046721413651383112e-33, 2.1132476107887107169e-49,
+  0.0029049430918953351999, 5.6900251826959904774e-19, 4.1707169171520598517e-35, -2.496415728504571394e-51,
+  0.0029049430918953351999, 5.6900251826959904774e-19, 4.1707169171520598517e-35, -2.496415728504571394e-51,
+  0.0029049430918953351999, 5.6900251826959904774e-19, 4.1707169171520598517e-35, -2.496415728504571394e-51,
+  0.0029049430918953351999, 5.6900251826959904774e-19, 4.1707169171520598517e-35, -2.496415728504571394e-51,
+  0.00095181809189533563356, 1.3532164927539732229e-19, -6.4410794381603004826e-36, 1.7634898158762436344e-52,
+  0.00095181809189533563356, 1.3532164927539732229e-19, -6.4410794381603004826e-36, 1.7634898158762436344e-52,
+  0.00046353684189533574198, 2.6901432026846872871e-20, -4.2254836195018827479e-37, 9.301187206862134399e-54,
+  0.00021939621689533574198, 2.6901432026846872871e-20, -4.2254836195018827479e-37, 9.301187206862134399e-54,
+  9.7325904395335769087e-05, -2.0362228529073840241e-22, 6.2960434583523738135e-40, 2.6283399642369025999e-57,
+  3.6290748145335769087e-05, -2.0362228529073840241e-22, 6.2960434583523738135e-40, 2.6283399642369025999e-57,
+  5.7731700203357690874e-06, -2.0362228529073840241e-22, 6.2960434583523738135e-40, 2.6283399642369025999e-57,
+  5.7731700203357690874e-06, -2.0362228529073840241e-22, 6.2960434583523738135e-40, 2.6283399642369025999e-57,
+  5.7731700203357690874e-06, -2.0362228529073840241e-22, 6.2960434583523738135e-40, 2.6283399642369025999e-57,
+  1.9584727547107690874e-06, -2.0362228529073840241e-22, 6.2960434583523738135e-40, 2.6283399642369025999e-57,
+  5.1124121898268875627e-08, 8.135951522836682362e-24, 6.2960434583523738135e-40, 2.6283399642369025999e-57,
+  5.1124121898268875627e-08, 8.135951522836682362e-24, 6.2960434583523738135e-40, 2.6283399642369025999e-57,
+  5.1124121898268875627e-08, 8.135951522836682362e-24, 6.2960434583523738135e-40, 2.6283399642369025999e-57,
+  5.1124121898268875627e-08, 8.135951522836682362e-24, 6.2960434583523738135e-40, 2.6283399642369025999e-57,
+  5.1124121898268875627e-08, 8.135951522836682362e-24, 6.2960434583523738135e-40, 2.6283399642369025999e-57,
+  5.1124121898268875627e-08, 8.135951522836682362e-24, 6.2960434583523738135e-40, 2.6283399642369025999e-57,
+  2.1321799510573569745e-08, 1.5185066224124613304e-24, 2.6226236120327253511e-40, 2.6283399642369025999e-57,
+  6.4206383167259151492e-09, -1.3585460269359374382e-25, -1.3244127270701094468e-41, -2.4695541513869446866e-57,
+  6.4206383167259151492e-09, -1.3585460269359374382e-25, -1.3244127270701094468e-41, -2.4695541513869446866e-57,
+  2.6953480182640010867e-09, -1.3585460269359374382e-25, -1.3244127270701094468e-41, -2.4695541513869446866e-57,
+  8.3270286903304384868e-10, 7.0940550444663151936e-26, 9.7147467687967058732e-42, 7.9392906424978921242e-59,
+  8.3270286903304384868e-10, 7.0940550444663151936e-26, 9.7147467687967058732e-42, 7.9392906424978921242e-59,
+  3.6704158172530459087e-10, 7.0940550444663151936e-26, 9.7147467687967058732e-42, 7.9392906424978921242e-59,
+  1.3421093807143501366e-10, 1.9241762160098927996e-26, 3.9750282589222551507e-42, 7.9392906424978921242e-59,
+  1.7795616244500218596e-11, -1.452834466126541428e-28, -1.5869767474823787636e-44, -2.6168913164368963837e-61,
+  1.7795616244500218596e-11, -1.452834466126541428e-28, -1.5869767474823787636e-44, -2.6168913164368963837e-61,
+  1.7795616244500218596e-11, -1.452834466126541428e-28, -1.5869767474823787636e-44, -2.6168913164368963837e-61,
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+  2.7699101395924739026e-286, -2.3747834495391662483e-303, -1.4883233515321710897e-319, -4.9406564584124654418e-324,
+  6.6838729732770526291e-287, -2.3747834495391662483e-303, -1.4883233515321710897e-319, -4.9406564584124654418e-324,
+  6.6838729732770526291e-287, -2.3747834495391662483e-303, -1.4883233515321710897e-319, -4.9406564584124654418e-324,
+  1.4300658676151304467e-287, 3.4581141661059517454e-303, -1.4883233515321710897e-319, -4.9406564584124654418e-324,
+  1.4300658676151304467e-287, 3.4581141661059517454e-303, -1.4883233515321710897e-319, -4.9406564584124654418e-324,
+  1.1661409119965037501e-288, 1.7710925730557271209e-304, 1.3053214363125733697e-320, 4.9406564584124654418e-324,
+  1.1661409119965037501e-288, 1.7710925730557271209e-304, 1.3053214363125733697e-320, 4.9406564584124654418e-324,
+  1.1661409119965037501e-288, 1.7710925730557271209e-304, 1.3053214363125733697e-320, 4.9406564584124654418e-324,
+  1.1661409119965037501e-288, 1.7710925730557271209e-304, 1.3053214363125733697e-320, 4.9406564584124654418e-324,
+  3.4523355173682868247e-289, -5.1687931833372113041e-306, -8.4979291084694405598e-322, -4.9406564584124654418e-324,
+  3.4523355173682868247e-289, -5.1687931833372113041e-306, -8.4979291084694405598e-322, -4.9406564584124654418e-324,
+  1.4000671167190987001e-289, -5.1687931833372113041e-306, -8.4979291084694405598e-322, -4.9406564584124654418e-324,
+  3.739329163945045238e-290, 6.2235849722196585125e-306, 4.0513382958982216622e-322, 4.9406564584124654418e-324,
+  3.739329163945045238e-290, 6.2235849722196585125e-306, 4.0513382958982216622e-322, 4.9406564584124654418e-324,
+  1.1739936631335606518e-290, 5.2739589444122328798e-307, 8.8931816251424377952e-323, 4.9406564584124654418e-324,
+  1.1739936631335606518e-290, 5.2739589444122328798e-307, 8.8931816251424377952e-323, 4.9406564584124654418e-324,
+  5.3265978793068936284e-291, 5.2739589444122328798e-307, 8.8931816251424377952e-323, 4.9406564584124654418e-324,
+  2.1199285032925371836e-291, 5.2739589444122328798e-307, 8.8931816251424377952e-323, 4.9406564584124654418e-324,
+  5.165938152853594952e-292, -6.6218316005049451511e-309, -0, -4.9406564584124654418e-324,
+  5.165938152853594952e-292, -6.6218316005049451511e-309, -0, -4.9406564584124654418e-324,
+  1.157601432835649396e-292, -6.6218316005049451511e-309, -0, -4.9406564584124654418e-324,
+  1.157601432835649396e-292, -6.6218316005049451511e-309, -0, -4.9406564584124654418e-324,
+  1.5551725283116295139e-293, -1.0591469542369416934e-309, -0, -4.9406564584124654418e-324,
+};
+
+NOEXPORT ALIGNED(64) const float rempitabsp[] = {
+  0.1591549367, 6.420638243e-09, 7.342738699e-17, 1.518506657e-24,
+  0.03415494412, -1.029942243e-09, -3.759491547e-17, 1.518506657e-24,
+  0.03415494412, -1.029942243e-09, -3.759491547e-17, 1.518506657e-24,
+  0.002904943191, -9.861970268e-11, -2.900444505e-18, 7.09405479e-26,
+  0.002904943191, -9.861970268e-11, -2.900444505e-18, 7.09405479e-26,
+  0.002904943191, -9.861970268e-11, -2.900444505e-18, 7.09405479e-26,
+  0.002904943191, -9.861970268e-11, -2.900444505e-18, 7.09405479e-26,
+  0.0009518180741, 1.779561568e-11, 5.69002499e-19, 1.92417627e-26,
+  0.0009518180741, 1.779561568e-11, 5.69002499e-19, 1.92417627e-26,
+  0.0004635368532, -1.130821391e-11, -2.983592131e-19, -6.607632216e-27,
+  0.0002193962137, 3.243701098e-12, -8.151878508e-20, -1.452834522e-28,
+  9.732590115e-05, 3.243701098e-12, -8.151878508e-20, -1.452834522e-28,
+  3.629074854e-05, -3.942777908e-13, -2.036222915e-22, 6.177847236e-30,
+  5.77316996e-06, 6.046956013e-14, -2.036222915e-22, 6.177847236e-30,
+  5.77316996e-06, 6.046956013e-14, -2.036222915e-22, 6.177847236e-30,
+  5.77316996e-06, 6.046956013e-14, -2.036222915e-22, 6.177847236e-30,
+  1.958472694e-06, 6.046956013e-14, -2.036222915e-22, 6.177847236e-30,
+  5.112412182e-08, 7.342738699e-17, 1.518506657e-24, -3.443243946e-32,
+  5.112412182e-08, 7.342738699e-17, 1.518506657e-24, -3.443243946e-32,
+  5.112412182e-08, 7.342738699e-17, 1.518506657e-24, -3.443243946e-32,
+  5.112412182e-08, 7.342738699e-17, 1.518506657e-24, -3.443243946e-32,
+  5.112412182e-08, 7.342738699e-17, 1.518506657e-24, -3.443243946e-32,
+  5.112412182e-08, 7.342738699e-17, 1.518506657e-24, -3.443243946e-32,
+  2.132179944e-08, 7.342738699e-17, 1.518506657e-24, -3.443243946e-32,
+  6.420638243e-09, 7.342738699e-17, 1.518506657e-24, -3.443243946e-32,
+  6.420638243e-09, 7.342738699e-17, 1.518506657e-24, -3.443243946e-32,
+  2.695347945e-09, 7.342738699e-17, 1.518506657e-24, -3.443243946e-32,
+  8.327028511e-10, 1.791623741e-17, -1.358546052e-25, 2.545416018e-33,
+  8.327028511e-10, 1.791623741e-17, -1.358546052e-25, 2.545416018e-33,
+  3.670415916e-10, -9.839338202e-18, -1.358546052e-25, 2.545416018e-33,
+  1.34210934e-10, 4.038449606e-18, -1.358546052e-25, 2.545416018e-33,
+  1.779561568e-11, 5.69002499e-19, 1.92417627e-26, -5.360718009e-34,
+  1.779561568e-11, 5.69002499e-19, 1.92417627e-26, -5.360718009e-34,
+  1.779561568e-11, 5.69002499e-19, 1.92417627e-26, -5.360718009e-34,
+  3.243701098e-12, -8.151878508e-20, -1.452834522e-28, 5.595982685e-36,
+  3.243701098e-12, -8.151878508e-20, -1.452834522e-28, 5.595982685e-36,
+  3.243701098e-12, -8.151878508e-20, -1.452834522e-28, 5.595982685e-36,
+  1.424711586e-12, 2.690143217e-20, -1.452834522e-28, 5.595982685e-36,
+  5.152168839e-13, 2.690143217e-20, -1.452834522e-28, 5.595982685e-36,
+  6.046956013e-14, -2.036222915e-22, 6.177847236e-30, -4.639017063e-38,
+  6.046956013e-14, -2.036222915e-22, 6.177847236e-30, -4.639017063e-38,
+  6.046956013e-14, -2.036222915e-22, 6.177847236e-30, -4.639017063e-38,
+  3.626141271e-15, -2.036222915e-22, 6.177847236e-30, -4.639017063e-38,
+  3.626141271e-15, -2.036222915e-22, 6.177847236e-30, -4.639017063e-38,
+  3.626141271e-15, -2.036222915e-22, 6.177847236e-30, -4.639017063e-38,
+  3.626141271e-15, -2.036222915e-22, 6.177847236e-30, -4.639017063e-38,
+  7.342738699e-17, 1.518506657e-24, -3.443243946e-32, 6.296048013e-40,
+  7.342738699e-17, 1.518506657e-24, -3.443243946e-32, 6.296048013e-40,
+  7.342738699e-17, 1.518506657e-24, -3.443243946e-32, 6.296048013e-40,
+  7.342738699e-17, 1.518506657e-24, -3.443243946e-32, 6.296048013e-40,
+  7.342738699e-17, 1.518506657e-24, -3.443243946e-32, 6.296048013e-40,
+  7.342738699e-17, 1.518506657e-24, -3.443243946e-32, 6.296048013e-40,
+  1.791623741e-17, -1.358546052e-25, 2.545416018e-33, 7.859182437e-41,
+  1.791623741e-17, -1.358546052e-25, 2.545416018e-33, 7.859182437e-41,
+  4.038449606e-18, -1.358546052e-25, 2.545416018e-33, 7.859182437e-41,
+  4.038449606e-18, -1.358546052e-25, 2.545416018e-33, 7.859182437e-41,
+  5.69002499e-19, 1.92417627e-26, -5.360718009e-34, -1.324367179e-41,
+  5.69002499e-19, 1.92417627e-26, -5.360718009e-34, -1.324367179e-41,
+  5.69002499e-19, 1.92417627e-26, -5.360718009e-34, -1.324367179e-41,
+  1.35321643e-19, 6.31706524e-27, -1.508858235e-34, -1.764234767e-42,
+  1.35321643e-19, 6.31706524e-27, -1.508858235e-34, -1.764234767e-42,
+  2.690143217e-20, -1.452834522e-28, 5.595982685e-36, 2.942726775e-44,
+  2.690143217e-20, -1.452834522e-28, 5.595982685e-36, 2.942726775e-44,
+  2.690143217e-20, -1.452834522e-28, 5.595982685e-36, 2.942726775e-44,
+  1.334890502e-20, -1.452834522e-28, 5.595982685e-36, 2.942726775e-44,
+  6.572641438e-21, -1.452834522e-28, 5.595982685e-36, 2.942726775e-44,
+  3.184509447e-21, 5.666494555e-29, -4.225483461e-37, -1.541428311e-44,
+  1.490443654e-21, -4.430925032e-29, -4.225483461e-37, -1.541428311e-44,
+  6.434106558e-22, 6.177847236e-30, -4.639017063e-38, 1.401298464e-45,
+  2.198941822e-22, 6.177847236e-30, -4.639017063e-38, 1.401298464e-45,
+  8.135951656e-24, -1.330400526e-31, 6.296048013e-40, -0,
+  8.135951656e-24, -1.330400526e-31, 6.296048013e-40, -0,
+  8.135951656e-24, -1.330400526e-31, 6.296048013e-40, -0,
+  8.135951656e-24, -1.330400526e-31, 6.296048013e-40, -0,
+  8.135951656e-24, -1.330400526e-31, 6.296048013e-40, -0,
+  1.518506657e-24, -3.443243946e-32, 6.296048013e-40, -0,
+  1.518506657e-24, -3.443243946e-32, 6.296048013e-40, -0,
+  1.518506657e-24, -3.443243946e-32, 6.296048013e-40, -0,
+  6.91325995e-25, 1.487136711e-32, 6.296048013e-40, -0,
+  2.777357134e-25, -9.780535442e-33, -1.050791679e-40, -0,
+  7.09405479e-26, 2.545416018e-33, 7.859182437e-41, -0,
+  7.09405479e-26, 2.545416018e-33, 7.859182437e-41, -0,
+  1.92417627e-26, -5.360718009e-34, -1.324367179e-41, -0,
+  1.92417627e-26, -5.360718009e-34, -1.324367179e-41, -0,
+  6.31706524e-27, -1.508858235e-34, -1.764234767e-42, -0,
+  6.31706524e-27, -1.508858235e-34, -1.764234767e-42, -0,
+  3.085890779e-27, 4.170716807e-35, 1.105624488e-42, -0,
+  1.470303646e-27, 4.170716807e-35, 1.105624488e-42, -0,
+  6.625101268e-28, -6.441079108e-36, -3.293051391e-43, -0,
+  2.586133433e-28, -6.441079108e-36, -3.293051391e-43, -0,
+  5.666494555e-29, -4.225483461e-37, -1.541428311e-44, -0,
+  5.666494555e-29, -4.225483461e-37, -1.541428311e-44, -0,
+  6.177847236e-30, -4.639017063e-38, 1.401298464e-45, -0,
+  6.177847236e-30, -4.639017063e-38, 1.401298464e-45, -0,
+  6.177847236e-30, -4.639017063e-38, 1.401298464e-45, -0,
+  6.177847236e-30, -4.639017063e-38, 1.401298464e-45, -0,
+  3.022403615e-30, -4.639017063e-38, 1.401298464e-45, -0,
+  1.444681805e-30, -4.639017063e-38, 1.401298464e-45, -0,
+  6.558208526e-31, 6.296048013e-40, -0, -0,
+  2.613904e-31, 6.296048013e-40, -0, -0,
+  6.417517369e-32, 6.296048013e-40, -0, -0,
+  6.417517369e-32, 6.296048013e-40, -0, -0,
+  1.487136711e-32, 6.296048013e-40, -0, -0,
+};
diff --git a/src/libm/sleefdp.c b/src/libm/sleefdp.c
index 5db9491a..1937932e 100644
--- a/src/libm/sleefdp.c
+++ b/src/libm/sleefdp.c
@@ -1,4 +1,4 @@
-//          Copyright Naoki Shibata 2010 - 2017.
+//          Copyright Naoki Shibata 2010 - 2018.
 // Distributed under the Boost Software License, Version 1.0.
 //    (See accompanying file LICENSE.txt or copy at
 //          http://www.boost.org/LICENSE_1_0.txt)
@@ -20,6 +20,8 @@
 
 #include "misc.h"
 
+extern const double rempitabdp[];
+
 #ifdef DORENAME
 #include "rename.h"
 #endif
@@ -714,20 +716,88 @@ EXPORT CONST double xatan_u1(double d) {
   return mulsign(r, d);
 }
 
+typedef struct {
+  double d;
+  int32_t i;
+} di_t;
+
+typedef struct {
+  Sleef_double2 dd;
+  int32_t i;
+} ddi_t;
+
+static CONST di_t rempisub(double x) {
+  // This function is equivalent to :
+  // di_t ret = { x - round(4 * x) * 0.25, (int32_t)(round(4 * x) - round(x) * 4) };
+  di_t ret;
+  double fr = x - (double)(1LL << 28) * (int32_t)(x * (1.0 / (1LL << 28)));
+  ret.i = ((7 & ((x > 0 ? 4 : 3) + (int32_t)(fr * 8))) - 3) >> 1;
+  fr = fr - 0.25 * (int32_t)(fr * 4 + mulsign(0.5, x));
+  fr = fabsk(fr) > 0.25 ? (fr - mulsign(0.5, x)) : fr;
+  fr = fabsk(fr) > 1e+10 ? 0 : fr;
+  if (fabsk(x) == 0.12499999999999998612) { fr = x; ret.i = 0; }
+  ret.d = fr;
+  return ret;
+}
+
+// Payne-Hanek like argument reduction
+static CONST ddi_t rempi(double a) {
+  Sleef_double2 x, y, z;
+  di_t di;
+  double t;
+  int ex = ilogb2k(a) - 55, q;
+  if (ex < 0) ex = 0;
+  ex *= 4;
+  x = ddmul_d2_d_d(a, rempitabdp[ex]);
+  di = rempisub(x.x);
+  q = di.i;
+  x.x = di.d;
+  x = ddnormalize_d2_d2(x);
+  y = ddmul_d2_d_d(a, rempitabdp[ex+1]);
+  x = ddadd2_d2_d2_d2(x, y);
+  di = rempisub(x.x);
+  q += di.i;
+  x.x = di.d;
+  x = ddnormalize_d2_d2(x);
+  y = ddmul_d2_d2_d(dd(rempitabdp[ex+2], rempitabdp[ex+3]), a);
+  x = ddadd2_d2_d2_d2(x, y);
+  x = ddnormalize_d2_d2(x);
+  x = ddmul_d2_d2_d2(x, dd(3.141592653589793116*2, 1.2246467991473532072e-16*2));
+  ddi_t ret = { fabsk(a) < 0.7 ? dd(a, 0) : x, q };
+  return ret;
+}
+
 EXPORT CONST double xsin(double d) {
   double u, s, t = d;
+  int ql;
+
+  if (fabsk(d) < TRIGRANGEMAX2) {
+    ql = rintk(d * M_1_PI);
+    d = mla(ql, -PI_A2, d);
+    d = mla(ql, -PI_B2, d);
+  } else if (fabsk(d) < TRIGRANGEMAX) {
+    double dqh = trunck(d * (M_1_PI / (1 << 24))) * (double)(1 << 24);
+    ql = rintk(mla(d, M_1_PI, -dqh));
 
-  double dqh = trunck(d * (M_1_PI / (1 << 24))) * (double)(1 << 24);
-  int ql = rintk(mla(d, M_1_PI, -dqh));
+    d = mla(dqh, -PI_A, d);
+    d = mla( ql, -PI_A, d);
+    d = mla(dqh, -PI_B, d);
+    d = mla( ql, -PI_B, d);
+    d = mla(dqh, -PI_C, d);
+    d = mla( ql, -PI_C, d);
+    d = mla(dqh + ql, -PI_D, d);
+  } else {
+    ddi_t ddi = rempi(t);
+    ql = ((ddi.i & 3) * 2 + (ddi.dd.x > 0) + 1) >> 2;
+    if ((ddi.i & 1) != 0) {
+      ddi.dd = ddadd2_d2_d2_d2(ddi.dd, dd(mulsign(3.141592653589793116*-0.5, ddi.dd.x),
+					  mulsign(1.2246467991473532072e-16*-0.5, ddi.dd.x)));
+    }
+    d = ddi.dd.x + ddi.dd.y;
+
+    if (fabsk(t) > 1e+299 && !xisinf(t)) d = 0;
+  }
 
-  d = mla(dqh, -PI_A, d);
-  d = mla( ql, -PI_A, d);
-  d = mla(dqh, -PI_B, d);
-  d = mla( ql, -PI_B, d);
-  d = mla(dqh, -PI_C, d);
-  d = mla( ql, -PI_C, d);
-  d = mla(dqh + ql, -PI_D, d);
-  
   s = d * d;
 
   if ((ql & 1) != 0) d = -d;
@@ -744,7 +814,7 @@ EXPORT CONST double xsin(double d) {
 
   u = mla(s, u * d, d);
 
-  if (!xisinf(t) && (xisnegzero(t) || fabsk(t) > TRIGRANGEMAX)) u = -0.0;
+  if (xisnegzero(t)) u = t;
 
   return u;
 }
@@ -758,7 +828,7 @@ EXPORT CONST double xsin_u1(double d) {
     ql = rintk(d * M_1_PI);
     u = mla(ql, -PI_A2, d);
     s = ddadd_d2_d_d (u,  ql * -PI_B2);
-  } else {
+  } else if (fabsk(d) < TRIGRANGEMAX) {
     const double dqh = trunck(d * (M_1_PI / (1 << 24))) * (double)(1 << 24);
     ql = rintk(mla(d, M_1_PI, -dqh));
 
@@ -769,6 +839,16 @@ EXPORT CONST double xsin_u1(double d) {
     s = ddadd2_d2_d2_d(s, dqh * -PI_C);
     s = ddadd2_d2_d2_d(s,  ql * -PI_C);
     s = ddadd_d2_d2_d (s, (dqh + ql) * -PI_D);
+  } else {
+    ddi_t ddi = rempi(d);
+    ql = ((ddi.i & 3) * 2 + (ddi.dd.x > 0) + 1) >> 2;
+    if ((ddi.i & 1) != 0) {
+      ddi.dd = ddadd2_d2_d2_d2(ddi.dd, dd(mulsign(3.141592653589793116*-0.5, ddi.dd.x),
+					  mulsign(1.2246467991473532072e-16*-0.5, ddi.dd.x)));
+    }
+    s = ddnormalize_d2_d2(ddi.dd);
+
+    if (fabsk(d) > 1e+299 && !xisinf(d)) s = dd(0, 0);
   }
 
   t = s;
@@ -787,25 +867,42 @@ EXPORT CONST double xsin_u1(double d) {
   u = ddmul_d_d2_d2(t, x);
   
   if ((ql & 1) != 0) u = -u;
-  if (!xisinf(d) && (xisnegzero(d) || fabsk(d) > TRIGRANGEMAX)) u = -0.0;
+  if (xisnegzero(d)) u = d;
   
   return u;
 }
 
 EXPORT CONST double xcos(double d) {
   double u, s, t = d;
+  int ql;
 
-  double dqh = trunck(d * (M_1_PI / (1LL << 23)) - 0.5 * (M_1_PI / (1LL << 23)));
-  int ql = 2*rintk(d * M_1_PI - 0.5 - dqh * (double)(1LL << 23))+1;
-  dqh *= 1 << 24;
+  if (fabsk(d) < TRIGRANGEMAX2) {
+    ql = mla(2, rintk(d * M_1_PI - 0.5), 1);
+    d = mla(ql, -PI_A2*0.5, d);
+    d = mla(ql, -PI_B2*0.5, d);
+  } else if (fabsk(d) < TRIGRANGEMAX) {
+    double dqh = trunck(d * (M_1_PI / (1LL << 23)) - 0.5 * (M_1_PI / (1LL << 23)));
+    ql = 2*rintk(d * M_1_PI - 0.5 - dqh * (double)(1LL << 23))+1;
+    dqh *= 1 << 24;
 
-  d = mla(dqh, -PI_A*0.5, d);
-  d = mla( ql, -PI_A*0.5, d);
-  d = mla(dqh, -PI_B*0.5, d);
-  d = mla( ql, -PI_B*0.5, d);
-  d = mla(dqh, -PI_C*0.5, d);
-  d = mla( ql, -PI_C*0.5, d);
-  d = mla(dqh + ql , -PI_D*0.5, d);
+    d = mla(dqh, -PI_A*0.5, d);
+    d = mla( ql, -PI_A*0.5, d);
+    d = mla(dqh, -PI_B*0.5, d);
+    d = mla( ql, -PI_B*0.5, d);
+    d = mla(dqh, -PI_C*0.5, d);
+    d = mla( ql, -PI_C*0.5, d);
+    d = mla(dqh + ql , -PI_D*0.5, d);
+  } else {
+    ddi_t ddi = rempi(t);
+    ql = ((ddi.i & 3) * 2 + (ddi.dd.x > 0) + 7) >> 1;
+    if ((ddi.i & 1) == 0) {
+      ddi.dd = ddadd2_d2_d2_d2(ddi.dd, dd(mulsign(3.141592653589793116*-0.5, ddi.dd.x > 0 ? 1 : -1),
+					  mulsign(1.2246467991473532072e-16*-0.5, ddi.dd.x > 0 ? 1 : -1)));
+    }
+    d = ddi.dd.x + ddi.dd.y;
+
+    if (!xisinf(t) && fabsk(t) > 1e+299) d = 0;
+  }
   
   s = d * d;
 
@@ -823,8 +920,6 @@ EXPORT CONST double xcos(double d) {
 
   u = mla(s, u * d, d);
 
-  if (!xisinf(t) && fabsk(t) > TRIGRANGEMAX) u = 1.0;
-
   return u;
 }
 
@@ -839,7 +934,7 @@ EXPORT CONST double xcos_u1(double d) {
     ql = mla(2, rintk(d * M_1_PI - 0.5), 1);
     s = ddadd2_d2_d_d(d, ql * (-PI_A2*0.5));
     s = ddadd_d2_d2_d(s, ql * (-PI_B2*0.5));
-  } else {
+  } else if (d < TRIGRANGEMAX) {
     double dqh = trunck(d * (M_1_PI / (1LL << 23)) - 0.5 * (M_1_PI / (1LL << 23)));
     ql = 2*rintk(d * M_1_PI - 0.5 - dqh * (double)(1LL << 23))+1;
     dqh *= 1 << 24;
@@ -851,6 +946,16 @@ EXPORT CONST double xcos_u1(double d) {
     s = ddadd2_d2_d2_d(s, dqh * (-PI_C*0.5));
     s = ddadd2_d2_d2_d(s,  ql * (-PI_C*0.5));
     s = ddadd_d2_d2_d(s, (dqh + ql) * (-PI_D*0.5));
+  } else {
+    ddi_t ddi = rempi(d);
+    ql = ((ddi.i & 3) * 2 + (ddi.dd.x > 0) + 7) >> 1;
+    if ((ddi.i & 1) == 0) {
+      ddi.dd = ddadd2_d2_d2_d2(ddi.dd, dd(mulsign(3.141592653589793116*-0.5, ddi.dd.x > 0 ? 1 : -1),
+					  mulsign(1.2246467991473532072e-16*-0.5, ddi.dd.x > 0 ? 1 : -1)));
+    }
+    s = ddnormalize_d2_d2(ddi.dd);
+
+    if (!xisinf(d) && d > 1e+299) s = dd(0, 0);
   }
   
   t = s;
@@ -869,7 +974,6 @@ EXPORT CONST double xcos_u1(double d) {
   u = ddmul_d_d2_d2(t, x);
   
   if ((((int)ql) & 2) == 0) u = -u;
-  if (!xisinf(d) && d > TRIGRANGEMAX) u = 1.0;
 
   return u;
 }
@@ -877,20 +981,34 @@ EXPORT CONST double xcos_u1(double d) {
 EXPORT CONST Sleef_double2 xsincos(double d) {
   double u, s, t;
   Sleef_double2 r;
+  int ql;
 
   s = d;
 
-  double dqh = trunck(d * ((2 * M_1_PI) / (1 << 24))) * (double)(1 << 24);
-  int ql = rintk(d * (2 * M_1_PI) - dqh);
+  if (fabsk(d) < TRIGRANGEMAX2) {
+    ql = rintk(s * (2 * M_1_PI));
+    s = mla(ql, -PI_A2*0.5, s);
+    s = mla(ql, -PI_B2*0.5, s);
+  } else if (fabsk(d) < TRIGRANGEMAX) {
+    double dqh = trunck(d * ((2 * M_1_PI) / (1 << 24))) * (double)(1 << 24);
+    ql = rintk(d * (2 * M_1_PI) - dqh);
+
+    s = mla(dqh, -PI_A * 0.5, s);
+    s = mla( ql, -PI_A * 0.5, s);
+    s = mla(dqh, -PI_B * 0.5, s);
+    s = mla( ql, -PI_B * 0.5, s);
+    s = mla(dqh, -PI_C * 0.5, s);
+    s = mla( ql, -PI_C * 0.5, s);
+    s = mla(dqh + ql, -PI_D * 0.5, s);
+  } else {
+    ddi_t ddi = rempi(d);
+    ql = ddi.i;
+    s = ddi.dd.x + ddi.dd.y;
+
+    if (fabsk(d) > 1e+299) s = 0;
+    if (xisinf(d)) s = SLEEF_NAN;
+  }  
 
-  s = mla(dqh, -PI_A * 0.5, s);
-  s = mla( ql, -PI_A * 0.5, s);
-  s = mla(dqh, -PI_B * 0.5, s);
-  s = mla( ql, -PI_B * 0.5, s);
-  s = mla(dqh, -PI_C * 0.5, s);
-  s = mla( ql, -PI_C * 0.5, s);
-  s = mla(dqh + ql, -PI_D * 0.5, s);
-  
   t = s;
 
   s = s * s;
@@ -921,9 +1039,6 @@ EXPORT CONST Sleef_double2 xsincos(double d) {
   if ((ql & 2) != 0) { r.x = -r.x; }
   if (((ql+1) & 2) != 0) { r.y = -r.y; }
 
-  if (fabsk(d) > TRIGRANGEMAX) { r.x = 0; r.y = 1; }
-  if (xisinf(d)) { r.x = r.y = SLEEF_NAN; }
-
   return r;
 }
 
@@ -936,7 +1051,7 @@ EXPORT CONST Sleef_double2 xsincos_u1(double d) {
     ql = rintk(d * (2 * M_1_PI));
     u = mla(ql, -PI_A2*0.5, d);
     s = ddadd_d2_d_d (u,  ql * (-PI_B2*0.5));
-  } else {
+  } else if (fabsk(d) < TRIGRANGEMAX) {
     const double dqh = trunck(d * ((2 * M_1_PI) / (1 << 24))) * (double)(1 << 24);
     ql = rintk(d * (2 * M_1_PI) - dqh);
 
@@ -947,6 +1062,13 @@ EXPORT CONST Sleef_double2 xsincos_u1(double d) {
     s = ddadd2_d2_d2_d(s, dqh * (-PI_C*0.5));
     s = ddadd2_d2_d2_d(s, ql * (-PI_C*0.5));
     s = ddadd_d2_d2_d(s, (dqh + ql) * (-PI_D*0.5));
+  } else {
+    ddi_t ddi = rempi(d);
+    ql = ddi.i;
+    s = ddi.dd;
+
+    if (fabsk(d) > 1e+299) s = dd(0, 0);
+    if (xisinf(d)) s = dd(SLEEF_NAN, SLEEF_NAN);
   }
   
   t = s;
@@ -982,9 +1104,6 @@ EXPORT CONST Sleef_double2 xsincos_u1(double d) {
   if ((ql & 2) != 0) { r.x = -r.x; }
   if (((ql+1) & 2) != 0) { r.y = -r.y; }
 
-  if (fabsk(d) > TRIGRANGEMAX) { r.x = 0; r.y = 1; }
-  if (xisinf(d)) { r.x = r.y = SLEEF_NAN; }
-
   return r;
 }
 
@@ -1185,17 +1304,29 @@ EXPORT CONST double xcospi_u05(double d) {
 
 EXPORT CONST double xtan(double d) {
   double u, s, x;
+  int ql;
 
-  double dqh = trunck(d * ((2 * M_1_PI) / (1 << 24))) * (double)(1 << 24);
-  int ql = rintk(d * (2 * M_1_PI) - dqh);
+  if (fabsk(d) < TRIGRANGEMAX2) {
+    ql = rintk(d * (2 * M_1_PI));
+    x = mla(ql, -PI_A2*0.5, d);
+    x = mla(ql, -PI_B2*0.5, x);
+  } else if (fabsk(d) < 1e+7) {
+    double dqh = trunck(d * ((2 * M_1_PI) / (1 << 24))) * (double)(1 << 24);
+    ql = rintk(d * (2 * M_1_PI) - dqh);
 
-  x = mla(dqh, -PI_A * 0.5, d);
-  x = mla( ql, -PI_A * 0.5, x);
-  x = mla(dqh, -PI_B * 0.5, x);
-  x = mla( ql, -PI_B * 0.5, x);
-  x = mla(dqh, -PI_C * 0.5, x);
-  x = mla( ql, -PI_C * 0.5, x);
-  x = mla(dqh + ql, -PI_D * 0.5, x);
+    x = mla(dqh, -PI_A * 0.5, d);
+    x = mla( ql, -PI_A * 0.5, x);
+    x = mla(dqh, -PI_B * 0.5, x);
+    x = mla( ql, -PI_B * 0.5, x);
+    x = mla(dqh, -PI_C * 0.5, x);
+    x = mla( ql, -PI_C * 0.5, x);
+    x = mla(dqh + ql, -PI_D * 0.5, x);
+  } else {
+    ddi_t ddi = rempi(d);
+    ql = ddi.i;
+    x = ddi.dd.x + ddi.dd.y;
+    if (xisinf(d)) x = SLEEF_NAN;
+  }
   
   s = x * x;
 
@@ -1222,8 +1353,6 @@ EXPORT CONST double xtan(double d) {
 
   if ((ql & 1) != 0) u = 1.0 / u;
 
-  if (xisinf(d)) u = SLEEF_NAN;
-
   return u;
 }
 
@@ -1236,7 +1365,7 @@ EXPORT CONST double xtan_u1(double d) {
     ql = rintk(d * (2 * M_1_PI));
     u = mla(ql, -PI_A2*0.5, d);
     s = ddadd_d2_d_d(u,  ql * (-PI_B2*0.5));
-  } else {
+  } else if (fabsk(d) < TRIGRANGEMAX) {
     const double dqh = trunck(d * (M_2_PI / (1 << 24))) * (double)(1 << 24);
     s = ddadd2_d2_d2_d(ddmul_d2_d2_d(dd(M_2_PI_H, M_2_PI_L), d), (d < 0 ? -0.5 : 0.5) - dqh);
     ql = s.x + s.y;
@@ -1248,6 +1377,12 @@ EXPORT CONST double xtan_u1(double d) {
     s = ddadd2_d2_d2_d(s, dqh * (-PI_C*0.5));
     s = ddadd2_d2_d2_d(s,  ql * (-PI_C*0.5));
     s = ddadd_d2_d2_d(s, (dqh + ql) * (-PI_D*0.5));
+  } else {
+    ddi_t ddi = rempi(d);
+    ql = ddi.i;
+    s = ddi.dd;
+
+    if (xisinf(d)) s = dd(SLEEF_NAN, SLEEF_NAN);
   }
   
   if ((ql & 1) != 0) s = ddneg_d2_d2(s);
@@ -1277,7 +1412,7 @@ EXPORT CONST double xtan_u1(double d) {
 
   u = x.x + x.y;
 
-  if (!xisinf(d) && (xisnegzero(d) || fabsk(d) > TRIGRANGEMAX)) u = -0.0;
+  if (xisnegzero(d)) u = d;
   
   return u;
 }
@@ -1932,7 +2067,7 @@ EXPORT CONST double xfma(double x, double y, double z) {
     z *= c2;
     q = 1.0 / c2;
   }
-  if (fabsk(h2) > 1e+300) {
+  if (fabsk(h2) > 1e+299) {
     const double c0 = 1ULL << 54, c1 = c0 * c0, c2 = c1 * c1;
     x *= 1.0 / c1;
     y *= 1.0 / c1;
diff --git a/src/libm/sleefsimddp.c b/src/libm/sleefsimddp.c
index 76af122b..13591f97 100644
--- a/src/libm/sleefsimddp.c
+++ b/src/libm/sleefsimddp.c
@@ -1,4 +1,4 @@
-//          Copyright Naoki Shibata 2010 - 2017.
+//          Copyright Naoki Shibata 2010 - 2018.
 // Distributed under the Boost Software License, Version 1.0.
 //    (See accompanying file LICENSE.txt or copy at
 //          http://www.boost.org/LICENSE_1_0.txt)
@@ -12,6 +12,8 @@
 
 #include "misc.h"
 
+extern const double rempitabdp[];
+
 #define __SLEEFSIMDDP_C__
 
 #if (defined(_MSC_VER))
@@ -262,21 +264,120 @@ EXPORT CONST vint xilogb(vdouble d) {
   return vrint_vi_vd(e);
 }
 
+#ifdef ENABLE_SVE
+typedef __sizeless_struct {
+  vdouble d;
+  vint i;
+} di_t;
+
+typedef __sizeless_struct {
+  vdouble2 dd;
+  vint i;
+} ddi_t;
+#else
+typedef struct {
+  vdouble d;
+  vint i;
+} di_t;
+
+typedef struct {
+  vdouble2 dd;
+  vint i;
+} ddi_t;
+#endif
+
+static INLINE CONST di_t rempisub(vdouble x) {
+#ifdef FULL_FP_ROUNDING
+  vdouble y = vrint_vd_vd(vmul_vd_vd_vd(x, vcast_vd_d(4)));
+  vint vi = vtruncate_vi_vd(vsub_vd_vd_vd(y, vmul_vd_vd_vd(vrint_vd_vd(x), vcast_vd_d(4))));
+  di_t ret = { vsub_vd_vd_vd(x, vmul_vd_vd_vd(y, vcast_vd_d(0.25))), vi };
+#else
+  vdouble fr = vsub_vd_vd_vd(x, vmul_vd_vd_vd(vcast_vd_d(1LL << 28), vtruncate_vd_vd(vmul_vd_vd_vd(x, vcast_vd_d(1.0 / (1LL << 28))))));
+  vint vi = vadd_vi_vi_vi(vsel_vi_vo_vi_vi(vcast_vo32_vo64(vgt_vo_vd_vd(x, vcast_vd_d(0))), vcast_vi_i(4), vcast_vi_i(3)), vtruncate_vi_vd(vmul_vd_vd_vd(fr, vcast_vd_d(8))));
+  vi = vsra_vi_vi_i(vsub_vi_vi_vi(vand_vi_vi_vi(vcast_vi_i(7), vi), vcast_vi_i(3)), 1);
+  fr = vsub_vd_vd_vd(fr, vmul_vd_vd_vd(vcast_vd_d(0.25), vtruncate_vd_vd(vmla_vd_vd_vd_vd(fr, vcast_vd_d(4), vmulsign_vd_vd_vd(vcast_vd_d(0.5), x)))));
+  fr = vsel_vd_vo_vd_vd(vgt_vo_vd_vd(vabs_vd_vd(fr), vcast_vd_d(0.25)), vsub_vd_vd_vd(fr, vmulsign_vd_vd_vd(vcast_vd_d(0.5), x)), fr);
+  fr = vsel_vd_vo_vd_vd(vgt_vo_vd_vd(vabs_vd_vd(fr), vcast_vd_d(1e+10)), vcast_vd_d(0), fr);
+  vopmask o = veq_vo_vd_vd(vabs_vd_vd(x), vcast_vd_d(0.12499999999999998612));
+  fr = vsel_vd_vo_vd_vd(o, x, fr);
+  vi = vsel_vi_vo_vi_vi(vcast_vo32_vo64(o), vcast_vi_i(0), vi);
+  di_t ret = { fr, vi };
+#endif
+  return ret;
+}
+
+static INLINE CONST ddi_t rempi(vdouble a) {
+  vdouble2 x, y, z;
+  vint ex = vilogb2k_vi_vd(a), q;
+#ifdef ENABLE_AVX512F
+  ex = vandnot_vi_vi_vi(vsra_vi_vi_i(ex, 31), ex);
+  ex = vand_vi_vi_vi(ex, vcast_vi_i(1023));
+#endif
+  ex = vsub_vi_vi_vi(ex, vcast_vi_i(55));
+  ex = vandnot_vi_vi_vi(vsra_vi_vi_i(ex, 31), ex);
+  ex = vadd_vi_vi_vi(ex, ex);
+  ex = vadd_vi_vi_vi(ex, ex);
+  x = ddmul_vd2_vd_vd(a, vgather_vd_p_vi(rempitabdp, ex));
+  di_t di = rempisub(x.x);
+  q = di.i;
+  x.x = di.d;
+  x = ddnormalize_vd2_vd2(x);
+  y = ddmul_vd2_vd_vd(a, vgather_vd_p_vi(rempitabdp+1, ex));
+  x = ddadd2_vd2_vd2_vd2(x, y);
+  di = rempisub(x.x);
+  q = vadd_vi_vi_vi(q, di.i);
+  x.x = di.d;
+  x = ddnormalize_vd2_vd2(x);
+  y = vcast_vd2_vd_vd(vgather_vd_p_vi(rempitabdp+2, ex), vgather_vd_p_vi(rempitabdp+3, ex));
+  y = ddmul_vd2_vd2_vd(y, a);
+  x = ddadd2_vd2_vd2_vd2(x, y);
+  x = ddnormalize_vd2_vd2(x);
+  x = ddmul_vd2_vd2_vd2(x, vcast_vd2_d_d(3.141592653589793116*2, 1.2246467991473532072e-16*2));
+  vopmask o = vlt_vo_vd_vd(vabs_vd_vd(a), vcast_vd_d(0.7));
+  x.x = vsel_vd_vo_vd_vd(o, a, x.x);
+  x.y = vreinterpret_vd_vm(vandnot_vm_vo64_vm(o, vreinterpret_vm_vd(x.y)));
+  ddi_t ret = { x, q };
+  return ret;
+}
+
 EXPORT CONST vdouble xsin(vdouble d) {
   vdouble u, s, r = d;
-  vdouble dqh = vtruncate_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(M_1_PI / (1 << 24))));
-  dqh = vmul_vd_vd_vd(dqh, vcast_vd_d(1 << 24));
-  vdouble dql = vrint_vd_vd(vmlapn_vd_vd_vd_vd(d, vcast_vd_d(M_1_PI), dqh));
-  vint ql = vrint_vi_vd(dql);
-
-  d = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_A), d);
-  d = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_A), d);
-  d = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_B), d);
-  d = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_B), d);
-  d = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_C), d);
-  d = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_C), d);
-  d = vmla_vd_vd_vd_vd(vadd_vd_vd_vd(dqh, dql), vcast_vd_d(-PI_D), d);
-  
+  vint ql;
+
+  if (LIKELY(vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX2))))) {
+    vdouble dql = vrint_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(M_1_PI)));
+    ql = vrint_vi_vd(dql);
+    d = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_A2), d);
+    d = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_B2), d);
+  } else if (LIKELY(vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX))))) {
+    vdouble dqh = vtruncate_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(M_1_PI / (1 << 24))));
+    dqh = vmul_vd_vd_vd(dqh, vcast_vd_d(1 << 24));
+    vdouble dql = vrint_vd_vd(vmlapn_vd_vd_vd_vd(d, vcast_vd_d(M_1_PI), dqh));
+    ql = vrint_vi_vd(dql);
+
+    d = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_A), d);
+    d = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_A), d);
+    d = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_B), d);
+    d = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_B), d);
+    d = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_C), d);
+    d = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_C), d);
+    d = vmla_vd_vd_vd_vd(vadd_vd_vd_vd(dqh, dql), vcast_vd_d(-PI_D), d);
+  } else {
+    ddi_t ddi = rempi(d);
+    ql = vand_vi_vi_vi(ddi.i, vcast_vi_i(3));
+    ql = vadd_vi_vi_vi(vadd_vi_vi_vi(ql, ql), vsel_vi_vo_vi_vi(vcast_vo32_vo64(vgt_vo_vd_vd(ddi.dd.x, vcast_vd_d(0))), vcast_vi_i(2), vcast_vi_i(1)));
+    ql = vsra_vi_vi_i(ql, 2);
+    vopmask o = veq_vo_vi_vi(vand_vi_vi_vi(ddi.i, vcast_vi_i(1)), vcast_vi_i(1));
+    vdouble2 x = vcast_vd2_vd_vd(vmulsign_vd_vd_vd(vcast_vd_d(-3.141592653589793116 * 0.5), ddi.dd.x), 
+				 vmulsign_vd_vd_vd(vcast_vd_d(-1.2246467991473532072e-16 * 0.5), ddi.dd.x));
+    x = ddadd2_vd2_vd2_vd2(ddi.dd, x);
+    ddi.dd = vsel_vd2_vo_vd2_vd2(vcast_vo64_vo32(o), x, ddi.dd);
+    d = vadd_vd_vd_vd(ddi.dd.x, ddi.dd.y);
+    d = vsel_vd_vo_vd_vd(vandnot_vo_vo_vo(visinf_vo_vd(r),
+					  vgt_vo_vd_vd(vabs_vd_vd(r), vcast_vd_d(1e+299))),
+			 vcast_vd_d(0), d);
+  }
+
   s = vmul_vd_vd_vd(d, d);
 
   d = vreinterpret_vd_vm(vxor_vm_vm_vm(vand_vm_vo64_vm(vcast_vo64_vo32(veq_vo_vi_vi(vand_vi_vi_vi(ql, vcast_vi_i(1)), vcast_vi_i(1))), vreinterpret_vm_vd(vcast_vd_d(-0.0))), vreinterpret_vm_vd(d)));
@@ -293,10 +394,7 @@ EXPORT CONST vdouble xsin(vdouble d) {
 
   u = vadd_vd_vd_vd(vmul_vd_vd_vd(s, vmul_vd_vd_vd(u, d)), d);
 
-  u = vsel_vd_vo_vd_vd(vandnot_vo_vo_vo(visinf_vo_vd(r),
-					vor_vo_vo_vo(visnegzero_vo_vd(r),
-						     vgt_vo_vd_vd(vabs_vd_vd(r), vcast_vd_d(TRIGRANGEMAX)))),
-		       vcast_vd_d(-0.0), u);
+  u = vsel_vd_vo_vd_vd(visnegzero_vo_vd(r), r, u);
   
   return u;
 }
@@ -306,12 +404,12 @@ EXPORT CONST vdouble xsin_u1(vdouble d) {
   vdouble2 s, t, x;
   vint ql;
   
-  if (vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX2)))) {
+  if (LIKELY(vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX2))))) {
     const vdouble dql = vrint_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(M_1_PI)));
     ql = vrint_vi_vd(dql);
     u = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_A2), d);
     s = ddadd_vd2_vd_vd (u, vmul_vd_vd_vd(dql, vcast_vd_d(-PI_B2)));
-  } else {
+  } else if (LIKELY(vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX))))) {
     vdouble dqh = vtruncate_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(M_1_PI / (1 << 24))));
     dqh = vmul_vd_vd_vd(dqh, vcast_vd_d(1 << 24));
     const vdouble dql = vrint_vd_vd(vmlapn_vd_vd_vd_vd(d, vcast_vd_d(M_1_PI), dqh));
@@ -324,6 +422,19 @@ EXPORT CONST vdouble xsin_u1(vdouble d) {
     s = ddadd2_vd2_vd2_vd(s, vmul_vd_vd_vd(dqh, vcast_vd_d(-PI_C)));
     s = ddadd2_vd2_vd2_vd(s, vmul_vd_vd_vd(dql, vcast_vd_d(-PI_C)));
     s = ddadd_vd2_vd2_vd(s, vmul_vd_vd_vd(vadd_vd_vd_vd(dqh, dql), vcast_vd_d(-PI_D)));
+  } else {
+    ddi_t ddi = rempi(d);
+    ql = vand_vi_vi_vi(ddi.i, vcast_vi_i(3));
+    ql = vadd_vi_vi_vi(vadd_vi_vi_vi(ql, ql), vsel_vi_vo_vi_vi(vcast_vo32_vo64(vgt_vo_vd_vd(ddi.dd.x, vcast_vd_d(0))), vcast_vi_i(2), vcast_vi_i(1)));
+    ql = vsra_vi_vi_i(ql, 2);
+    vopmask o = veq_vo_vi_vi(vand_vi_vi_vi(ddi.i, vcast_vi_i(1)), vcast_vi_i(1));
+    vdouble2 x = vcast_vd2_vd_vd(vmulsign_vd_vd_vd(vcast_vd_d(-3.141592653589793116 * 0.5), ddi.dd.x), 
+				 vmulsign_vd_vd_vd(vcast_vd_d(-1.2246467991473532072e-16 * 0.5), ddi.dd.x));
+    x = ddadd2_vd2_vd2_vd2(ddi.dd, x);
+    ddi.dd = vsel_vd2_vo_vd2_vd2(vcast_vo64_vo32(o), x, ddi.dd);
+    s = ddnormalize_vd2_vd2(ddi.dd);
+    s = vsel_vd2_vo_vd2_vd2(vandnot_vo_vo_vo(visinf_vo_vd(d), vgt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(1e+299))),
+			    vcast_vd2_d_d(0, 0), s);
   }
   
   t = s;
@@ -343,29 +454,53 @@ EXPORT CONST vdouble xsin_u1(vdouble d) {
   
   u = vreinterpret_vd_vm(vxor_vm_vm_vm(vand_vm_vo64_vm(vcast_vo64_vo32(veq_vo_vi_vi(vand_vi_vi_vi(ql, vcast_vi_i(1)), vcast_vi_i(1))),
 						       vreinterpret_vm_vd(vcast_vd_d(-0.0))), vreinterpret_vm_vd(u)));
-  u = vsel_vd_vo_vd_vd(vandnot_vo_vo_vo(visinf_vo_vd(d), vor_vo_vo_vo(visnegzero_vo_vd(d),
-								      vgt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX)))),
-		       vcast_vd_d(-0.0), u);
+  u = vsel_vd_vo_vd_vd(visnegzero_vo_vd(d), d, u);
   
   return u;
 }
 
 EXPORT CONST vdouble xcos(vdouble d) {
   vdouble u, s, r = d;
-  vdouble dqh = vtruncate_vd_vd(vmla_vd_vd_vd_vd(d, vcast_vd_d(M_1_PI / (1 << 23)), vcast_vd_d(-M_1_PI / (1 << 24))));
-  vint ql = vrint_vi_vd(vadd_vd_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(M_1_PI)),
-				      vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-(1 << 23)), vcast_vd_d(-0.5))));
-  dqh = vmul_vd_vd_vd(dqh, vcast_vd_d(1 << 24));
-  ql = vadd_vi_vi_vi(vadd_vi_vi_vi(ql, ql), vcast_vi_i(1));
-  vdouble dql = vcast_vd_vi(ql);
-
-  d = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_A * 0.5), d);
-  d = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_A * 0.5), d);
-  d = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_B * 0.5), d);
-  d = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_B * 0.5), d);
-  d = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_C * 0.5), d);
-  d = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_C * 0.5), d);
-  d = vmla_vd_vd_vd_vd(vadd_vd_vd_vd(dqh, dql), vcast_vd_d(-PI_D * 0.5), d);
+  vint ql;
+
+  if (LIKELY(vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX2))))) {
+    vdouble dql = vmla_vd_vd_vd_vd(vcast_vd_d(2),
+				   vrint_vd_vd(vmla_vd_vd_vd_vd(d, vcast_vd_d(M_1_PI), vcast_vd_d(-0.5))),
+				   vcast_vd_d(1));
+    ql = vrint_vi_vd(dql);
+    d = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_A2 * 0.5), d);
+    d = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_B2 * 0.5), d);
+  } else if (LIKELY(vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX))))) {
+    vdouble dqh = vtruncate_vd_vd(vmla_vd_vd_vd_vd(d, vcast_vd_d(M_1_PI / (1 << 23)), vcast_vd_d(-M_1_PI / (1 << 24))));
+    ql = vrint_vi_vd(vadd_vd_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(M_1_PI)),
+				   vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-(1 << 23)), vcast_vd_d(-0.5))));
+    dqh = vmul_vd_vd_vd(dqh, vcast_vd_d(1 << 24));
+    ql = vadd_vi_vi_vi(vadd_vi_vi_vi(ql, ql), vcast_vi_i(1));
+    vdouble dql = vcast_vd_vi(ql);
+
+    d = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_A * 0.5), d);
+    d = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_A * 0.5), d);
+    d = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_B * 0.5), d);
+    d = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_B * 0.5), d);
+    d = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_C * 0.5), d);
+    d = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_C * 0.5), d);
+    d = vmla_vd_vd_vd_vd(vadd_vd_vd_vd(dqh, dql), vcast_vd_d(-PI_D * 0.5), d);
+  } else {
+    ddi_t ddi = rempi(d);
+    ql = vand_vi_vi_vi(ddi.i, vcast_vi_i(3));
+    ql = vadd_vi_vi_vi(vadd_vi_vi_vi(ql, ql), vsel_vi_vo_vi_vi(vcast_vo32_vo64(vgt_vo_vd_vd(ddi.dd.x, vcast_vd_d(0))), vcast_vi_i(8), vcast_vi_i(7)));
+    ql = vsra_vi_vi_i(ql, 1);
+    vopmask o = veq_vo_vi_vi(vand_vi_vi_vi(ddi.i, vcast_vi_i(1)), vcast_vi_i(0));
+    vdouble y = vsel_vd_vo_vd_vd(vgt_vo_vd_vd(ddi.dd.x, vcast_vd_d(0)), vcast_vd_d(0), vcast_vd_d(-1));
+    vdouble2 x = vcast_vd2_vd_vd(vmulsign_vd_vd_vd(vcast_vd_d(-3.141592653589793116 * 0.5), y), 
+				 vmulsign_vd_vd_vd(vcast_vd_d(-1.2246467991473532072e-16 * 0.5), y));
+    x = ddadd2_vd2_vd2_vd2(ddi.dd, x);
+    ddi.dd = vsel_vd2_vo_vd2_vd2(vcast_vo64_vo32(o), x, ddi.dd);
+    d = vadd_vd_vd_vd(ddi.dd.x, ddi.dd.y);
+    d = vsel_vd_vo_vd_vd(vandnot_vo_vo_vo(visinf_vo_vd(r),
+					  vgt_vo_vd_vd(vabs_vd_vd(r), vcast_vd_d(1e+299))),
+			 vcast_vd_d(0), d);
+  }
 
   s = vmul_vd_vd_vd(d, d);
 
@@ -382,8 +517,6 @@ EXPORT CONST vdouble xcos(vdouble d) {
   u = vmla_vd_vd_vd_vd(u, s, vcast_vd_d(-0.166666666666666657414808));
 
   u = vadd_vd_vd_vd(vmul_vd_vd_vd(s, vmul_vd_vd_vd(u, d)), d);
-
-  u = vsel_vd_vo_vd_vd(vandnot_vo_vo_vo(visinf_vo_vd(r), vgt_vo_vd_vd(vabs_vd_vd(r), vcast_vd_d(TRIGRANGEMAX))), vcast_vd_d(1), u);
   
   return u;
 }
@@ -393,13 +526,13 @@ EXPORT CONST vdouble xcos_u1(vdouble d) {
   vdouble2 s, t, x;
   vint ql;
   
-  if (vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX2)))) {
+  if (LIKELY(vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX2))))) {
     vdouble dql = vrint_vd_vd(vmla_vd_vd_vd_vd(d, vcast_vd_d(M_1_PI), vcast_vd_d(-0.5)));
     dql = vmla_vd_vd_vd_vd(vcast_vd_d(2), dql, vcast_vd_d(1));
     ql = vrint_vi_vd(dql);
     s = ddadd2_vd2_vd_vd(d, vmul_vd_vd_vd(dql, vcast_vd_d(-PI_A2*0.5)));
     s = ddadd_vd2_vd2_vd(s, vmul_vd_vd_vd(dql, vcast_vd_d(-PI_B2*0.5)));
-  } else {
+  } else if (LIKELY(vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX))))) {
     vdouble dqh = vtruncate_vd_vd(vmla_vd_vd_vd_vd(d, vcast_vd_d(M_1_PI / (1 << 23)), vcast_vd_d(-M_1_PI / (1 << 24))));
     ql = vrint_vi_vd(vadd_vd_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(M_1_PI)),
 					vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-(1 << 23)), vcast_vd_d(-0.5))));
@@ -414,6 +547,21 @@ EXPORT CONST vdouble xcos_u1(vdouble d) {
     s = ddadd2_vd2_vd2_vd(s, vmul_vd_vd_vd(dqh, vcast_vd_d(-PI_C*0.5)));
     s = ddadd2_vd2_vd2_vd(s, vmul_vd_vd_vd(dql, vcast_vd_d(-PI_C*0.5)));
     s = ddadd_vd2_vd2_vd(s, vmul_vd_vd_vd(vadd_vd_vd_vd(dqh, dql), vcast_vd_d(-PI_D*0.5)));
+  } else {
+    ddi_t ddi = rempi(d);
+    ql = vand_vi_vi_vi(ddi.i, vcast_vi_i(3));
+    ql = vadd_vi_vi_vi(vadd_vi_vi_vi(ql, ql), vsel_vi_vo_vi_vi(vcast_vo32_vo64(vgt_vo_vd_vd(ddi.dd.x, vcast_vd_d(0))), vcast_vi_i(8), vcast_vi_i(7)));
+    ql = vsra_vi_vi_i(ql, 1);
+    vopmask o = veq_vo_vi_vi(vand_vi_vi_vi(ddi.i, vcast_vi_i(1)), vcast_vi_i(0));
+    vdouble y = vsel_vd_vo_vd_vd(vgt_vo_vd_vd(ddi.dd.x, vcast_vd_d(0)), vcast_vd_d(0), vcast_vd_d(-1));
+    vdouble2 x = vcast_vd2_vd_vd(vmulsign_vd_vd_vd(vcast_vd_d(-3.141592653589793116 * 0.5), y), 
+				 vmulsign_vd_vd_vd(vcast_vd_d(-1.2246467991473532072e-16 * 0.5), y));
+    x = ddadd2_vd2_vd2_vd2(ddi.dd, x);
+    ddi.dd = vsel_vd2_vo_vd2_vd2(vcast_vo64_vo32(o), x, ddi.dd);
+    s = ddnormalize_vd2_vd2(ddi.dd);
+
+    s = vsel_vd2_vo_vd2_vd2(vandnot_vo_vo_vo(visinf_vo_vd(d), vgt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(1e+299))),
+			    vcast_vd2_d_d(0, 0), s);
   }
   
   t = s;
@@ -432,8 +580,6 @@ EXPORT CONST vdouble xcos_u1(vdouble d) {
   u = ddmul_vd_vd2_vd2(t, x);
   
   u = vreinterpret_vd_vm(vxor_vm_vm_vm(vand_vm_vo64_vm(vcast_vo64_vo32(veq_vo_vi_vi(vand_vi_vi_vi(ql, vcast_vi_i(2)), vcast_vi_i(0))), vreinterpret_vm_vd(vcast_vd_d(-0.0))), vreinterpret_vm_vd(u)));
-
-  u = vsel_vd_vo_vd_vd(vandnot_vo_vo_vo(visinf_vo_vd(d), vgt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX))), vcast_vd_d(1), u);
   
   return u;
 }
@@ -460,22 +606,35 @@ EXPORT CONST vdouble xcos_u1(vdouble d) {
 
 TYPE2_FUNCATR vdouble2 XSINCOS(vdouble d) {
   vopmask o;
-  vdouble u, s, t, rx, ry;
+  vdouble u, t, rx, ry, s = d;
   vdouble2 r;
+  vint ql;
 
-  s = d;
-  vdouble dqh = vtruncate_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(2*M_1_PI / (1 << 24))));
-  dqh = vmul_vd_vd_vd(dqh, vcast_vd_d(1 << 24));
-  vdouble dql = vrint_vd_vd(vsub_vd_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(2*M_1_PI)), dqh));
-  vint ql = vrint_vi_vd(dql);
+  if (LIKELY(vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX2))))) {
+    vdouble dql = vrint_vd_vd(vmul_vd_vd_vd(s, vcast_vd_d(2 * M_1_PI)));
+    ql = vrint_vi_vd(dql);
+    s = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_A2 * 0.5), s);
+    s = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_B2 * 0.5), s);
+  } else if (LIKELY(vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX))))) {
+    vdouble dqh = vtruncate_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(2*M_1_PI / (1 << 24))));
+    dqh = vmul_vd_vd_vd(dqh, vcast_vd_d(1 << 24));
+    vdouble dql = vrint_vd_vd(vsub_vd_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(2*M_1_PI)), dqh));
+    ql = vrint_vi_vd(dql);
 
-  s = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_A * 0.5), s);
-  s = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_A * 0.5), s);
-  s = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_B * 0.5), s);
-  s = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_B * 0.5), s);
-  s = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_C * 0.5), s);
-  s = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_C * 0.5), s);
-  s = vmla_vd_vd_vd_vd(vadd_vd_vd_vd(dqh, dql), vcast_vd_d(-PI_D * 0.5), s);
+    s = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_A * 0.5), s);
+    s = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_A * 0.5), s);
+    s = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_B * 0.5), s);
+    s = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_B * 0.5), s);
+    s = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_C * 0.5), s);
+    s = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_C * 0.5), s);
+    s = vmla_vd_vd_vd_vd(vadd_vd_vd_vd(dqh, dql), vcast_vd_d(-PI_D * 0.5), s);
+  } else {
+    ddi_t ddi = rempi(d);
+    ql = ddi.i;
+    s = vadd_vd_vd_vd(ddi.dd.x, ddi.dd.y);
+    s = vreinterpret_vd_vm(vandnot_vm_vo64_vm(vgt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(1e+299)), vreinterpret_vm_vd(s)));
+    s = vreinterpret_vd_vm(vor_vm_vo64_vm(visinf_vo_vd(d), vreinterpret_vm_vd(s)));
+  }
   
   t = s;
 
@@ -510,14 +669,6 @@ TYPE2_FUNCATR vdouble2 XSINCOS(vdouble d) {
 
   o = vcast_vo64_vo32(veq_vo_vi_vi(vand_vi_vi_vi(vadd_vi_vi_vi(ql, vcast_vi_i(1)), vcast_vi_i(2)), vcast_vi_i(2)));
   r.y = vreinterpret_vd_vm(vxor_vm_vm_vm(vand_vm_vo64_vm(o, vreinterpret_vm_vd(vcast_vd_d(-0.0))), vreinterpret_vm_vd(r.y)));
-
-  o = vgt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX));
-  r.x = vreinterpret_vd_vm(vandnot_vm_vo64_vm(o, vreinterpret_vm_vd(r.x)));
-  r.y = vsel_vd_vo_vd_vd(o, vcast_vd_d(1), r.y);
-
-  o = visinf_vo_vd(d);
-  r.x = vreinterpret_vd_vm(vor_vm_vo64_vm(o, vreinterpret_vm_vd(r.x)));
-  r.y = vreinterpret_vd_vm(vor_vm_vo64_vm(o, vreinterpret_vm_vd(r.y)));
   
   return r;
 }
@@ -528,12 +679,12 @@ TYPE2_FUNCATR vdouble2 XSINCOS_U1(vdouble d) {
   vdouble2 r, s, t, x;
   vint ql;
   
-  if (vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX2)))) {
+  if (LIKELY(vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX2))))) {
     const vdouble dql = vrint_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(2 * M_1_PI)));
     ql = vrint_vi_vd(dql);
     u = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_A2*0.5), d);
     s = ddadd_vd2_vd_vd (u, vmul_vd_vd_vd(dql, vcast_vd_d(-PI_B2*0.5)));
-  } else {
+  } else if (LIKELY(vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX))))) {
     vdouble dqh = vtruncate_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(2*M_1_PI / (1 << 24))));
     dqh = vmul_vd_vd_vd(dqh, vcast_vd_d(1 << 24));
     const vdouble dql = vrint_vd_vd(vsub_vd_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(2*M_1_PI)), dqh));
@@ -546,6 +697,16 @@ TYPE2_FUNCATR vdouble2 XSINCOS_U1(vdouble d) {
     s = ddadd2_vd2_vd2_vd(s, vmul_vd_vd_vd(dqh, vcast_vd_d(-PI_C*0.5)));
     s = ddadd2_vd2_vd2_vd(s, vmul_vd_vd_vd(dql, vcast_vd_d(-PI_C*0.5)));
     s = ddadd_vd2_vd2_vd(s, vmul_vd_vd_vd(vadd_vd_vd_vd(dqh, dql), vcast_vd_d(-PI_D*0.5)));
+  } else {
+    ddi_t ddi = rempi(d);
+    ql = ddi.i;
+    s = ddi.dd;
+    o = vgt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(1e+299));
+    s.x = vreinterpret_vd_vm(vandnot_vm_vo64_vm(o, vreinterpret_vm_vd(s.x)));
+    s.y = vreinterpret_vd_vm(vandnot_vm_vo64_vm(o, vreinterpret_vm_vd(s.y)));
+    o = visinf_vo_vd(d);
+    s.x = vreinterpret_vd_vm(vor_vm_vo64_vm(o, vreinterpret_vm_vd(s.x)));
+    s.y = vreinterpret_vd_vm(vor_vm_vo64_vm(o, vreinterpret_vm_vd(s.y)));
   }
   
   t = s;
@@ -587,14 +748,6 @@ TYPE2_FUNCATR vdouble2 XSINCOS_U1(vdouble d) {
   o = vcast_vo64_vo32(veq_vo_vi_vi(vand_vi_vi_vi(vadd_vi_vi_vi(ql, vcast_vi_i(1)), vcast_vi_i(2)), vcast_vi_i(2)));
   r.y = vreinterpret_vd_vm(vxor_vm_vm_vm(vand_vm_vo64_vm(o, vreinterpret_vm_vd(vcast_vd_d(-0.0))), vreinterpret_vm_vd(r.y)));
 
-  o = vgt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX));
-  r.x = vreinterpret_vd_vm(vandnot_vm_vo64_vm(o, vreinterpret_vm_vd(r.x)));
-  r.y = vsel_vd_vo_vd_vd(o, vcast_vd_d(1), r.y);
-
-  o = visinf_vo_vd(d);
-  r.x = vreinterpret_vd_vm(vor_vm_vo64_vm(o, vreinterpret_vm_vd(r.x)));
-  r.y = vreinterpret_vd_vm(vor_vm_vo64_vm(o, vreinterpret_vm_vd(r.y)));
-
   return r;
 }
 
@@ -875,19 +1028,35 @@ EXPORT CONST vdouble xcospi_u05(vdouble d) {
 EXPORT CONST vdouble xtan(vdouble d) {
   vdouble u, s, x;
   vopmask o;
-  vdouble dqh = vtruncate_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(2*M_1_PI / (1 << 24))));
-  dqh = vmul_vd_vd_vd(dqh, vcast_vd_d(1 << 24));
-  vdouble dql = vrint_vd_vd(vsub_vd_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(2*M_1_PI)), dqh));
-  vint ql = vrint_vi_vd(dql);
-
-  x = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_A * 0.5), d);
-  x = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_A * 0.5), x);
-  x = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_B * 0.5), x);
-  x = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_B * 0.5), x);
-  x = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_C * 0.5), x);
-  x = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_C * 0.5), x);
-  x = vmla_vd_vd_vd_vd(vadd_vd_vd_vd(dqh, dql), vcast_vd_d(-PI_D * 0.5), x);
-  
+  vint ql;
+
+  if (LIKELY(vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX2))))) {
+    vdouble dql = vrint_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(2 * M_1_PI)));
+    ql = vrint_vi_vd(dql);
+    x = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_A2 * 0.5), d);
+    x = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_B2 * 0.5), x);
+  } else if (LIKELY(vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(1e+7))))) {
+    vdouble dqh = vtruncate_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(2*M_1_PI / (1 << 24))));
+    dqh = vmul_vd_vd_vd(dqh, vcast_vd_d(1 << 24));
+    vdouble dql = vrint_vd_vd(vsub_vd_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(2*M_1_PI)), dqh));
+    ql = vrint_vi_vd(dql);
+
+    x = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_A * 0.5), d);
+    x = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_A * 0.5), x);
+    x = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_B * 0.5), x);
+    x = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_B * 0.5), x);
+    x = vmla_vd_vd_vd_vd(dqh, vcast_vd_d(-PI_C * 0.5), x);
+    x = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_C * 0.5), x);
+    x = vmla_vd_vd_vd_vd(vadd_vd_vd_vd(dqh, dql), vcast_vd_d(-PI_D * 0.5), x);
+    x = vsel_vd_vo_vd_vd(visnegzero_vo_vd(d), d, x);
+  } else {
+    ddi_t ddi = rempi(d);
+    ql = ddi.i;
+    x = vadd_vd_vd_vd(ddi.dd.x, ddi.dd.y);
+    x = vreinterpret_vd_vm(vor_vm_vo64_vm(visinf_vo_vd(d), vreinterpret_vm_vd(x)));
+    x = vsel_vd_vo_vd_vd(visnegzero_vo_vd(d), d, x);
+  }
+
   s = vmul_vd_vd_vd(x, x);
 
   o = vcast_vo64_vo32(veq_vo_vi_vi(vand_vi_vi_vi(ql, vcast_vi_i(1)), vcast_vi_i(1)));
@@ -937,17 +1106,6 @@ EXPORT CONST vdouble xtan(vdouble d) {
   u = vmla_vd_vd_vd_vd(s, vmul_vd_vd_vd(u, x), x);
 
   u = vsel_vd_vo_vd_vd(o, vrec_vd_vd(u), u);
-
-#ifndef ENABLE_AVX512F
-  u = vreinterpret_vd_vm(vor_vm_vo64_vm(visinf_vo_vd(d), vreinterpret_vm_vd(u)));
-#else
-  u = vfixup_vd_vd_vd_vi2_i(u, d, vcast_vi2_i((3 << (4*4)) | (3 << (5*4))), 0);
-#endif
-
-  u = vsel_vd_vo_vd_vd(vandnot_vo_vo_vo(visinf_vo_vd(d),
-					vor_vo_vo_vo(visnegzero_vo_vd(d),
-						     vgt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX)))),
-		       vcast_vd_d(-0.0), u);
   
   return u;
 }
@@ -958,12 +1116,12 @@ EXPORT CONST vdouble xtan_u1(vdouble d) {
   vopmask o;
   vint ql;
   
-  if (vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX2)))) {
+  if (LIKELY(vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX2))))) {
     vdouble dql = vrint_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(2 * M_1_PI)));
     ql = vrint_vi_vd(dql);
     u = vmla_vd_vd_vd_vd(dql, vcast_vd_d(-PI_A2*0.5), d);
     s = ddadd_vd2_vd_vd (u, vmul_vd_vd_vd(dql, vcast_vd_d(-PI_B2*0.5)));
-  } else {
+  } else if (LIKELY(vtestallones_i_vo64(vlt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX))))) {
     vdouble dqh = vtruncate_vd_vd(vmul_vd_vd_vd(d, vcast_vd_d(2*M_1_PI / (1 << 24))));
     dqh = vmul_vd_vd_vd(dqh, vcast_vd_d(1 << 24));
     s = ddadd2_vd2_vd2_vd(ddmul_vd2_vd2_vd(vcast_vd2_d_d(M_2_PI_H, M_2_PI_L), d),
@@ -979,6 +1137,13 @@ EXPORT CONST vdouble xtan_u1(vdouble d) {
     s = ddadd2_vd2_vd2_vd(s, vmul_vd_vd_vd(dqh, vcast_vd_d(-PI_C*0.5)));
     s = ddadd2_vd2_vd2_vd(s, vmul_vd_vd_vd(dql, vcast_vd_d(-PI_C*0.5            )));
     s = ddadd_vd2_vd2_vd(s, vmul_vd_vd_vd(vadd_vd_vd_vd(dqh, dql), vcast_vd_d(-PI_D*0.5)));
+  } else {
+    ddi_t ddi = rempi(d);
+    ql = ddi.i;
+    s = ddi.dd;
+    o = visinf_vo_vd(d);
+    s.x = vreinterpret_vd_vm(vor_vm_vo64_vm(o, vreinterpret_vm_vd(s.x)));
+    s.y = vreinterpret_vd_vm(vor_vm_vo64_vm(o, vreinterpret_vm_vd(s.y)));
   }
   
   o = vcast_vo64_vo32(veq_vo_vi_vi(vand_vi_vi_vi(ql, vcast_vi_i(1)), vcast_vi_i(1)));
@@ -1033,10 +1198,7 @@ EXPORT CONST vdouble xtan_u1(vdouble d) {
 
   u = vadd_vd_vd_vd(x.x, x.y);
 
-  u = vsel_vd_vo_vd_vd(vandnot_vo_vo_vo(visinf_vo_vd(d),
-					vor_vo_vo_vo(visnegzero_vo_vd(d),
-						     vgt_vo_vd_vd(vabs_vd_vd(d), vcast_vd_d(TRIGRANGEMAX)))),
-		       vcast_vd_d(-0.0), u);
+  u = vsel_vd_vo_vd_vd(visnegzero_vo_vd(d), d, u);
 
   return u;
 }
diff --git a/src/libm/sleefsimdsp.c b/src/libm/sleefsimdsp.c
index bc0c91bc..466b018b 100644
--- a/src/libm/sleefsimdsp.c
+++ b/src/libm/sleefsimdsp.c
@@ -1,4 +1,4 @@
-//          Copyright Naoki Shibata 2010 - 2017.
+//          Copyright Naoki Shibata 2010 - 2018.
 // Distributed under the Boost Software License, Version 1.0.
 //    (See accompanying file LICENSE.txt or copy at
 //          http://www.boost.org/LICENSE_1_0.txt)
@@ -12,6 +12,8 @@
 
 #include "misc.h"
 
+extern const float rempitabsp[];
+
 #define __SLEEFSIMDSP_C__
 
 #if (defined(_MSC_VER))
@@ -256,17 +258,113 @@ static INLINE CONST vfloat vldexp3_vf_vf_vi2(vfloat d, vint2 q) {
 
 EXPORT CONST vfloat xldexpf(vfloat x, vint2 q) { return vldexp_vf_vf_vi2(x, q); }
 
+#ifdef ENABLE_SVE
+typedef __sizeless_struct {
+  vfloat d;
+  vint2 i;
+} fi_t;
+
+typedef __sizeless_struct {
+  vfloat2 df;
+  vint2 i;
+} dfi_t;
+#else
+typedef struct {
+  vfloat d;
+  vint2 i;
+} fi_t;
+
+typedef struct {
+  vfloat2 df;
+  vint2 i;
+} dfi_t;
+#endif
+
+static INLINE CONST fi_t rempisubf(vfloat x) {
+#ifdef FULL_FP_ROUNDING
+  vfloat y = vrint_vf_vf(vmul_vf_vf_vf(x, vcast_vf_f(4)));
+  vint2 vi = vtruncate_vi2_vf(vsub_vf_vf_vf(y, vmul_vf_vf_vf(vrint_vf_vf(x), vcast_vf_f(4))));
+  fi_t ret = { vsub_vf_vf_vf(x, vmul_vf_vf_vf(y, vcast_vf_f(0.25))), vi };
+#else
+  vfloat fr = vsub_vf_vf_vf(x, vmul_vf_vf_vf(vcast_vf_f(1LL << 10), vtruncate_vf_vf(vmul_vf_vf_vf(x, vcast_vf_f(1.0 / (1LL << 10))))));
+  vint2 vi = vadd_vi2_vi2_vi2(vsel_vi2_vo_vi2_vi2(vgt_vo_vf_vf(x, vcast_vf_f(0)), vcast_vi2_i(4), vcast_vi2_i(3)), vtruncate_vi2_vf(vmul_vf_vf_vf(fr, vcast_vf_f(8))));
+  vi = vsra_vi2_vi2_i(vsub_vi2_vi2_vi2(vand_vi2_vi2_vi2(vcast_vi2_i(7), vi), vcast_vi2_i(3)), 1);
+  fr = vsub_vf_vf_vf(fr, vmul_vf_vf_vf(vcast_vf_f(0.25), vtruncate_vf_vf(vmla_vf_vf_vf_vf(fr, vcast_vf_f(4), vmulsign_vf_vf_vf(vcast_vf_f(0.5), x)))));
+  fr = vsel_vf_vo_vf_vf(vgt_vo_vf_vf(vabs_vf_vf(fr), vcast_vf_f(0.25)), vsub_vf_vf_vf(fr, vmulsign_vf_vf_vf(vcast_vf_f(0.5), x)), fr);
+  fr = vsel_vf_vo_vf_vf(vgt_vo_vf_vf(vabs_vf_vf(fr), vcast_vf_f(1e+10)), vcast_vf_f(0), fr);
+  vopmask o = veq_vo_vf_vf(vabs_vf_vf(x), vcast_vf_f(0.12499999254941940308f));
+  fr = vsel_vf_vo_vf_vf(o, x, fr);
+  vi = vsel_vi2_vo_vi2_vi2(o, vcast_vi2_i(0), vi);
+  fi_t ret = { fr, vi };
+#endif
+  return ret;
+}
+
+static INLINE CONST dfi_t rempif(vfloat a) {
+  vfloat2 x, y, z;
+  vint2 ex = vilogb2k_vi2_vf(a), q;
+#ifdef ENABLE_AVX512F
+  ex = vandnot_vi2_vi2_vi2(vsra_vi2_vi2_i(ex, 31), ex);
+  ex = vand_vi2_vi2_vi2(ex, vcast_vi2_i(127));
+#endif
+  ex = vsub_vi2_vi2_vi2(ex, vcast_vi2_i(25));
+  ex = vandnot_vi2_vi2_vi2(vsra_vi2_vi2_i(ex, 31), ex);
+  ex = vadd_vi2_vi2_vi2(ex, ex);
+  ex = vadd_vi2_vi2_vi2(ex, ex);
+  x = dfmul_vf2_vf_vf(a, vgather_vf_p_vi2(rempitabsp, ex));
+  fi_t di = rempisubf(x.x);
+  q = di.i;
+  x.x = di.d;
+  x = dfnormalize_vf2_vf2(x);
+  y = dfmul_vf2_vf_vf(a, vgather_vf_p_vi2(rempitabsp+1, ex));
+  x = dfadd2_vf2_vf2_vf2(x, y);
+  di = rempisubf(x.x);
+  q = vadd_vi2_vi2_vi2(q, di.i);
+  x.x = di.d;
+  x = dfnormalize_vf2_vf2(x);
+  y = vcast_vf2_vf_vf(vgather_vf_p_vi2(rempitabsp+2, ex), vgather_vf_p_vi2(rempitabsp+3, ex));
+  y = dfmul_vf2_vf2_vf(y, a);
+  x = dfadd2_vf2_vf2_vf2(x, y);
+  x = dfnormalize_vf2_vf2(x);
+  x = dfmul_vf2_vf2_vf2(x, vcast_vf2_f_f(3.1415927410125732422f*2, -8.7422776573475857731e-08f*2));
+  x = vsel_vf2_vo_vf2_vf2(vlt_vo_vf_vf(vabs_vf_vf(a), vcast_vf_f(0.7)), vcast_vf2_vf_vf(a, vcast_vf_f(0)), x);
+  dfi_t ret = { x, q };
+  return ret;
+}
+
 EXPORT CONST vfloat xsinf(vfloat d) {
   vint2 q;
   vfloat u, s, r = d;
 
-  q = vrint_vi2_vf(vmul_vf_vf_vf(d, vcast_vf_f((float)M_1_PI)));
-  u = vcast_vf_vi2(q);
-
-  d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Af), d);
-  d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Bf), d);
-  d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Cf), d);
-  d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Df), d);
+  if (LIKELY(vtestallones_i_vo32(vlt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAX2f))))) {
+    q = vrint_vi2_vf(vmul_vf_vf_vf(d, vcast_vf_f((float)M_1_PI)));
+    u = vcast_vf_vi2(q);
+    d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_A2f), d);
+    d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_B2f), d);
+    d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_C2f), d);
+  } else if (LIKELY(vtestallones_i_vo32(vlt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAXf))))) {
+    q = vrint_vi2_vf(vmul_vf_vf_vf(d, vcast_vf_f((float)M_1_PI)));
+    u = vcast_vf_vi2(q);
+    d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Af), d);
+    d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Bf), d);
+    d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Cf), d);
+    d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Df), d);
+  } else {
+    dfi_t dfi = rempif(d);
+    q = vand_vi2_vi2_vi2(dfi.i, vcast_vi2_i(3));
+    q = vadd_vi2_vi2_vi2(vadd_vi2_vi2_vi2(q, q), vsel_vi2_vo_vi2_vi2(vgt_vo_vf_vf(dfi.df.x, vcast_vf_f(0)), vcast_vi2_i(2), vcast_vi2_i(1)));
+    q = vsra_vi2_vi2_i(q, 2);
+    vopmask o = veq_vo_vi2_vi2(vand_vi2_vi2_vi2(dfi.i, vcast_vi2_i(1)), vcast_vi2_i(1));
+    vfloat2 x = vcast_vf2_vf_vf(vmulsign_vf_vf_vf(vcast_vf_f(3.1415927410125732422f*-0.5), dfi.df.x), 
+				vmulsign_vf_vf_vf(vcast_vf_f(-8.7422776573475857731e-08f*-0.5), dfi.df.x));
+    x = dfadd2_vf2_vf2_vf2(dfi.df, x);
+    dfi.df = vsel_vf2_vo_vf2_vf2(o, x, dfi.df);
+    d = vadd_vf_vf_vf(dfi.df.x, dfi.df.y);
+
+    d = vsel_vf_vo_vf_vf(vandnot_vo_vo_vo(visinf_vo_vf(r),
+					  vgt_vo_vf_vf(vabs_vf_vf(r), vcast_vf_f(1e+28f))),
+			 vcast_vf_f(0), d);
+  }
 
   s = vmul_vf_vf_vf(d, d);
 
@@ -279,11 +377,7 @@ EXPORT CONST vfloat xsinf(vfloat d) {
 
   u = vadd_vf_vf_vf(vmul_vf_vf_vf(s, vmul_vf_vf_vf(u, d)), d);
 
-  u = vsel_vf_vo_vf_vf(vor_vo_vo_vo(visnegzero_vo_vf(r),
-				    vgt_vo_vf_vf(vabs_vf_vf(r), vcast_vf_f(TRIGRANGEMAXf))),
-		       vcast_vf_f(-0.0), u);
-
-  u = vreinterpret_vf_vm(vor_vm_vo32_vm(visinf_vo_vf(d), vreinterpret_vm_vf(u)));
+  u = vsel_vf_vo_vf_vf(visnegzero_vo_vf(r), r, u);
 
   return u;
 }
@@ -292,14 +386,40 @@ EXPORT CONST vfloat xcosf(vfloat d) {
   vint2 q;
   vfloat u, s, r = d;
 
-  q = vrint_vi2_vf(vsub_vf_vf_vf(vmul_vf_vf_vf(d, vcast_vf_f((float)M_1_PI)), vcast_vf_f(0.5f)));
-  q = vadd_vi2_vi2_vi2(vadd_vi2_vi2_vi2(q, q), vcast_vi2_i(1));
-
-  u = vcast_vf_vi2(q);
-  d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Af*0.5f), d);
-  d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Bf*0.5f), d);
-  d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Cf*0.5f), d);
-  d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Df*0.5f), d);
+  if (LIKELY(vtestallones_i_vo32(vlt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAX2f))))) {
+    q = vrint_vi2_vf(vsub_vf_vf_vf(vmul_vf_vf_vf(d, vcast_vf_f((float)M_1_PI)), vcast_vf_f(0.5f)));
+    q = vadd_vi2_vi2_vi2(vadd_vi2_vi2_vi2(q, q), vcast_vi2_i(1));
+
+    u = vcast_vf_vi2(q);
+    d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_A2f*0.5f), d);
+    d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_B2f*0.5f), d);
+    d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_C2f*0.5f), d);
+  } else if (LIKELY(vtestallones_i_vo32(vlt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAXf))))) {
+    q = vrint_vi2_vf(vsub_vf_vf_vf(vmul_vf_vf_vf(d, vcast_vf_f((float)M_1_PI)), vcast_vf_f(0.5f)));
+    q = vadd_vi2_vi2_vi2(vadd_vi2_vi2_vi2(q, q), vcast_vi2_i(1));
+
+    u = vcast_vf_vi2(q);
+    d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Af*0.5f), d);
+    d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Bf*0.5f), d);
+    d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Cf*0.5f), d);
+    d = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Df*0.5f), d);
+  } else {
+    dfi_t dfi = rempif(d);
+    q = vand_vi2_vi2_vi2(dfi.i, vcast_vi2_i(3));
+    q = vadd_vi2_vi2_vi2(vadd_vi2_vi2_vi2(q, q), vsel_vi2_vo_vi2_vi2(vgt_vo_vf_vf(dfi.df.x, vcast_vf_f(0)), vcast_vi2_i(8), vcast_vi2_i(7)));
+    q = vsra_vi2_vi2_i(q, 1);
+    vopmask o = veq_vo_vi2_vi2(vand_vi2_vi2_vi2(dfi.i, vcast_vi2_i(1)), vcast_vi2_i(0));
+    vfloat y = vsel_vf_vo_vf_vf(vgt_vo_vf_vf(dfi.df.x, vcast_vf_f(0)), vcast_vf_f(0), vcast_vf_f(-1));
+    vfloat2 x = vcast_vf2_vf_vf(vmulsign_vf_vf_vf(vcast_vf_f(3.1415927410125732422f*-0.5), y),
+				vmulsign_vf_vf_vf(vcast_vf_f(-8.7422776573475857731e-08f*-0.5), y));
+    x = dfadd2_vf2_vf2_vf2(dfi.df, x);
+    dfi.df = vsel_vf2_vo_vf2_vf2(o, x, dfi.df);
+    d = vadd_vf_vf_vf(dfi.df.x, dfi.df.y);
+
+    d = vsel_vf_vo_vf_vf(vandnot_vo_vo_vo(visinf_vo_vf(r),
+					  vgt_vo_vf_vf(vabs_vf_vf(r), vcast_vf_f(1e+28f))),
+			 vcast_vf_f(0), d);
+  }
 
   s = vmul_vf_vf_vf(d, d);
 
@@ -312,11 +432,6 @@ EXPORT CONST vfloat xcosf(vfloat d) {
 
   u = vadd_vf_vf_vf(vmul_vf_vf_vf(s, vmul_vf_vf_vf(u, d)), d);
 
-  u = vreinterpret_vf_vm(vandnot_vm_vo32_vm(vgt_vo_vf_vf(vabs_vf_vf(r), vcast_vf_f(TRIGRANGEMAXf)),
-					    vreinterpret_vm_vf(u)));
-
-  u = vreinterpret_vf_vm(vor_vm_vo32_vm(visinf_vo_vf(d), vreinterpret_vm_vf(u)));
-
   return u;
 }
 
@@ -325,15 +440,28 @@ EXPORT CONST vfloat xtanf(vfloat d) {
   vopmask o;
   vfloat u, s, x;
 
-  q = vrint_vi2_vf(vmul_vf_vf_vf(d, vcast_vf_f((float)(2 * M_1_PI))));
-
   x = d;
 
-  u = vcast_vf_vi2(q);
-  x = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Af*0.5f), x);
-  x = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Bf*0.5f), x);
-  x = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Cf*0.5f), x);
-  x = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Df*0.5f), x);
+  if (LIKELY(vtestallones_i_vo32(vlt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAX2f))))) {
+    q = vrint_vi2_vf(vmul_vf_vf_vf(d, vcast_vf_f((float)(2 * M_1_PI))));
+    u = vcast_vf_vi2(q);
+    x = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_A2f*0.5f), x);
+    x = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_B2f*0.5f), x);
+    x = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_C2f*0.5f), x);
+  } else if (LIKELY(vtestallones_i_vo32(vlt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAXf))))) {
+    q = vrint_vi2_vf(vmul_vf_vf_vf(d, vcast_vf_f((float)(2 * M_1_PI))));
+    u = vcast_vf_vi2(q);
+    x = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Af*0.5f), x);
+    x = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Bf*0.5f), x);
+    x = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Cf*0.5f), x);
+    x = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Df*0.5f), x);
+  } else {
+    dfi_t dfi = rempif(d);
+    q = dfi.i;
+    x = vadd_vf_vf_vf(dfi.df.x, dfi.df.y);
+    x = vreinterpret_vf_vm(vor_vm_vo32_vm(visinf_vo_vf(d), vreinterpret_vm_vf(x)));
+    x = vsel_vf_vo_vf_vf(visnegzero_vo_vf(d), d, x);
+  }
 
   s = vmul_vf_vf_vf(x, x);
 
@@ -350,13 +478,7 @@ EXPORT CONST vfloat xtanf(vfloat d) {
   u = vmla_vf_vf_vf_vf(s, vmul_vf_vf_vf(u, x), x);
 
   u = vsel_vf_vo_vf_vf(o, vrec_vf_vf(u), u);
-  
-#ifndef ENABLE_AVX512F
-  u = vreinterpret_vf_vm(vor_vm_vo32_vm(visinf_vo_vf(d), vreinterpret_vm_vf(u)));
-#else
-  u = vfixup_vf_vf_vf_vi2_i(u, d, vcast_vi2_i((3 << (4*4)) | (3 << (5*4))), 0);
-#endif
-  
+
   return u;
 }
 
@@ -365,30 +487,26 @@ EXPORT CONST vfloat xsinf_u1(vfloat d) {
   vfloat u, v;
   vfloat2 s, t, x;
 
-  if (vtestallones_i_vo32(vlt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAX2f)))) {
+  if (LIKELY(vtestallones_i_vo32(vlt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAX2f))))) {
     u = vrint_vf_vf(vmul_vf_vf_vf(d, vcast_vf_f(M_1_PI)));
     q = vrint_vi2_vf(u);
     v = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_A2f), d);
     s = dfadd2_vf2_vf_vf(v, vmul_vf_vf_vf(u, vcast_vf_f(-PI_B2f)));
     s = dfadd_vf2_vf2_vf(s, vmul_vf_vf_vf(u, vcast_vf_f(-PI_C2f)));
   } else {
-    vfloat2 dfq = dfmul_vf2_vf2_vf(vcast_vf2_f_f(M_1_PI, M_1_PI - (float)M_1_PI), d);
-    vfloat t = vrint_vf_vf(vmul_vf_vf_vf(dfq.x, vcast_vf_f(1.0f / (1 << 16))));
-    dfq.y = vrint_vf_vf(vadd_vf_vf_vf(vmla_vf_vf_vf_vf(t, vcast_vf_f(-(1 << 16)), dfq.x), dfq.y));
-    q = vrint_vi2_vf(dfq.y);
-    dfq.x = vmul_vf_vf_vf(t, vcast_vf_f(1 << 16));
-    dfq = dfnormalize_vf2_vf2(dfq);
-
-    s = dfadd2_vf2_vf_vf2 (d, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_A3f)));
-    s = dfnormalize_vf2_vf2(s);
-    s = dfadd2_vf2_vf2_vf2(s, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_B3f)));
-    s = dfnormalize_vf2_vf2(s);
-    s = dfadd2_vf2_vf2_vf2(s, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_C3f)));
-    s = dfnormalize_vf2_vf2(s);
-    s = dfadd2_vf2_vf2_vf2(s, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_D3f)));
-    s = dfnormalize_vf2_vf2(s);
-    s = dfadd2_vf2_vf2_vf2(s, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_E3f)));
-    s = dfnormalize_vf2_vf2(s);
+    dfi_t dfi = rempif(d);
+    q = vand_vi2_vi2_vi2(dfi.i, vcast_vi2_i(3));
+    q = vadd_vi2_vi2_vi2(vadd_vi2_vi2_vi2(q, q), vsel_vi2_vo_vi2_vi2(vgt_vo_vf_vf(dfi.df.x, vcast_vf_f(0)), vcast_vi2_i(2), vcast_vi2_i(1)));
+    q = vsra_vi2_vi2_i(q, 2);
+    vopmask o = veq_vo_vi2_vi2(vand_vi2_vi2_vi2(dfi.i, vcast_vi2_i(1)), vcast_vi2_i(1));
+    vfloat2 x = vcast_vf2_vf_vf(vmulsign_vf_vf_vf(vcast_vf_f(3.1415927410125732422f*-0.5), dfi.df.x), 
+				vmulsign_vf_vf_vf(vcast_vf_f(-8.7422776573475857731e-08f*-0.5), dfi.df.x));
+    x = dfadd2_vf2_vf2_vf2(dfi.df, x);
+    dfi.df = vsel_vf2_vo_vf2_vf2(o, x, dfi.df);
+    s = dfnormalize_vf2_vf2(dfi.df);
+
+    s = vsel_vf2_vo_vf2_vf2(vandnot_vo_vo_vo(visinf_vo_vf(d), vgt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(1e+28f))),
+			    vcast_vf2_f_f(0, 0), s);
   }
 
   t = s;
@@ -403,9 +521,8 @@ EXPORT CONST vfloat xsinf_u1(vfloat d) {
   u = dfmul_vf_vf2_vf2(t, x);
 
   u = vreinterpret_vf_vm(vxor_vm_vm_vm(vand_vm_vo32_vm(veq_vo_vi2_vi2(vand_vi2_vi2_vi2(q, vcast_vi2_i(1)), vcast_vi2_i(1)), vreinterpret_vm_vf(vcast_vf_f(-0.0))), vreinterpret_vm_vf(u)));
-  u = vsel_vf_vo_vf_vf(vandnot_vo_vo_vo(visinf_vo_vf(d), vor_vo_vo_vo(visnegzero_vo_vf(d),
-								      vgt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAX3f)))),
-		       vcast_vf_f(-0.0), u);
+
+  u = vsel_vf_vo_vf_vf(visnegzero_vo_vf(d), d, u);
 
   return u;
 }
@@ -415,7 +532,7 @@ EXPORT CONST vfloat xcosf_u1(vfloat d) {
   vfloat u;
   vfloat2 s, t, x;
 
-  if (vtestallones_i_vo32(vlt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAX2f)))) {
+  if (LIKELY(vtestallones_i_vo32(vlt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAX2f))))) {
     vfloat dq = vmla_vf_vf_vf_vf(vrint_vf_vf(vmla_vf_vf_vf_vf(d, vcast_vf_f(M_1_PI), vcast_vf_f(-0.5f))),
 				 vcast_vf_f(2), vcast_vf_f(1));
     q = vrint_vi2_vf(dq);
@@ -423,24 +540,20 @@ EXPORT CONST vfloat xcosf_u1(vfloat d) {
     s = dfadd2_vf2_vf2_vf(s, vmul_vf_vf_vf(dq, vcast_vf_f(-PI_B2f*0.5f)));
     s = dfadd2_vf2_vf2_vf(s, vmul_vf_vf_vf(dq, vcast_vf_f(-PI_C2f*0.5f)));
   } else {
-    vfloat2 dfq = dfadd2_vf2_vf2_vf(dfmul_vf2_vf2_vf(vcast_vf2_f_f(M_1_PI, M_1_PI - (float)M_1_PI), d), vcast_vf_f(-0.5f));
-    vfloat t = vrint_vf_vf(vmul_vf_vf_vf(dfq.x, vcast_vf_f(1.0f / (1 << 16))));
-    dfq.y = vmla_vf_vf_vf_vf(vrint_vf_vf(vadd_vf_vf_vf(vmla_vf_vf_vf_vf(t, vcast_vf_f(-(1 << 16)), dfq.x), dfq.y)),
-			     vcast_vf_f(2), vcast_vf_f(1));
-    q = vrint_vi2_vf(dfq.y);
-    dfq.x = vmul_vf_vf_vf(t, vcast_vf_f(1 << 17));
-    dfq = dfnormalize_vf2_vf2(dfq);
-
-    s = dfadd2_vf2_vf_vf2 (d, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_A3f*0.5f)));
-    s = dfnormalize_vf2_vf2(s);
-    s = dfadd2_vf2_vf2_vf2(s, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_B3f*0.5f)));
-    s = dfnormalize_vf2_vf2(s);
-    s = dfadd2_vf2_vf2_vf2(s, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_C3f*0.5f)));
-    s = dfnormalize_vf2_vf2(s);
-    s = dfadd2_vf2_vf2_vf2(s, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_D3f*0.5f)));
-    s = dfnormalize_vf2_vf2(s);
-    s = dfadd2_vf2_vf2_vf2(s, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_E3f*0.5f)));
-    s = dfnormalize_vf2_vf2(s);
+    dfi_t dfi = rempif(d);
+    q = vand_vi2_vi2_vi2(dfi.i, vcast_vi2_i(3));
+    q = vadd_vi2_vi2_vi2(vadd_vi2_vi2_vi2(q, q), vsel_vi2_vo_vi2_vi2(vgt_vo_vf_vf(dfi.df.x, vcast_vf_f(0)), vcast_vi2_i(8), vcast_vi2_i(7)));
+    q = vsra_vi2_vi2_i(q, 1);
+    vopmask o = veq_vo_vi2_vi2(vand_vi2_vi2_vi2(dfi.i, vcast_vi2_i(1)), vcast_vi2_i(0));
+    vfloat y = vsel_vf_vo_vf_vf(vgt_vo_vf_vf(dfi.df.x, vcast_vf_f(0)), vcast_vf_f(0), vcast_vf_f(-1));
+    vfloat2 x = vcast_vf2_vf_vf(vmulsign_vf_vf_vf(vcast_vf_f(3.1415927410125732422f*-0.5), y),
+				vmulsign_vf_vf_vf(vcast_vf_f(-8.7422776573475857731e-08f*-0.5), y));
+    x = dfadd2_vf2_vf2_vf2(dfi.df, x);
+    dfi.df = vsel_vf2_vo_vf2_vf2(o, x, dfi.df);
+    s = dfnormalize_vf2_vf2(dfi.df);
+
+    s = vsel_vf2_vo_vf2_vf2(vandnot_vo_vo_vo(visinf_vo_vf(d), vgt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(1e+28f))),
+			    vcast_vf2_f_f(0, 0), s);
   }
 
   t = s;
@@ -455,9 +568,6 @@ EXPORT CONST vfloat xcosf_u1(vfloat d) {
   u = dfmul_vf_vf2_vf2(t, x);
 
   u = vreinterpret_vf_vm(vxor_vm_vm_vm(vand_vm_vo32_vm(veq_vo_vi2_vi2(vand_vi2_vi2_vi2(q, vcast_vi2_i(2)), vcast_vi2_i(0)), vreinterpret_vm_vf(vcast_vf_f(-0.0))), vreinterpret_vm_vf(u)));
-
-  u = vreinterpret_vf_vm(vandnot_vm_vo32_vm(vandnot_vo_vo_vo(visinf_vo_vf(d), vgt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAX3f))),
-					    vreinterpret_vm_vf(u)));
   
   return u;
 }
@@ -488,15 +598,28 @@ TYPE2_FUNCATR vfloat2 XSINCOSF(vfloat d) {
   vfloat u, s, t, rx, ry;
   vfloat2 r;
 
-  q = vrint_vi2_vf(vmul_vf_vf_vf(d, vcast_vf_f((float)M_2_PI)));
-
   s = d;
 
-  u = vcast_vf_vi2(q);
-  s = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Af*0.5f), s);
-  s = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Bf*0.5f), s);
-  s = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Cf*0.5f), s);
-  s = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Df*0.5f), s);
+  if (LIKELY(vtestallones_i_vo32(vlt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAX2f))))) {
+    q = vrint_vi2_vf(vmul_vf_vf_vf(d, vcast_vf_f((float)M_2_PI)));
+    u = vcast_vf_vi2(q);
+    s = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_A2f*0.5f), s);
+    s = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_B2f*0.5f), s);
+    s = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_C2f*0.5f), s);
+  } else if (LIKELY(vtestallones_i_vo32(vlt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAXf))))) {
+    q = vrint_vi2_vf(vmul_vf_vf_vf(d, vcast_vf_f((float)M_2_PI)));
+    u = vcast_vf_vi2(q);
+    s = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Af*0.5f), s);
+    s = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Bf*0.5f), s);
+    s = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Cf*0.5f), s);
+    s = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_Df*0.5f), s);
+  } else {
+    dfi_t dfi = rempif(d);
+    q = dfi.i;
+    s = vadd_vf_vf_vf(dfi.df.x, dfi.df.y);
+    s = vreinterpret_vf_vm(vandnot_vm_vo32_vm(vgt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(1e+28f)), vreinterpret_vm_vf(s)));
+    s = vreinterpret_vf_vm(vor_vm_vo32_vm(visinf_vo_vf(d), vreinterpret_vm_vf(s)));
+  }
 
   t = s;
 
@@ -527,14 +650,6 @@ TYPE2_FUNCATR vfloat2 XSINCOSF(vfloat d) {
   o = veq_vo_vi2_vi2(vand_vi2_vi2_vi2(vadd_vi2_vi2_vi2(q, vcast_vi2_i(1)), vcast_vi2_i(2)), vcast_vi2_i(2));
   r.y = vreinterpret_vf_vm(vxor_vm_vm_vm(vand_vm_vo32_vm(o, vreinterpret_vm_vf(vcast_vf_f(-0.0))), vreinterpret_vm_vf(r.y)));
 
-  o = vgt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAXf));
-  r.x = vreinterpret_vf_vm(vandnot_vm_vo32_vm(o, vreinterpret_vm_vf(r.x)));
-  r.y = vreinterpret_vf_vm(vandnot_vm_vo32_vm(o, vreinterpret_vm_vf(r.y)));
-  
-  o = visinf_vo_vf(d);
-  r.x = vreinterpret_vf_vm(vor_vm_vo32_vm(o, vreinterpret_vm_vf(r.x)));
-  r.y = vreinterpret_vf_vm(vor_vm_vo32_vm(o, vreinterpret_vm_vf(r.y)));
-
   return r;
 }
 
@@ -544,30 +659,22 @@ TYPE2_FUNCATR vfloat2 XSINCOSF_U1(vfloat d) {
   vfloat u, v, rx, ry;
   vfloat2 r, s, t, x;
 
-  if (vtestallones_i_vo32(vlt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAX2f)))) {
+  if (LIKELY(vtestallones_i_vo32(vlt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAX2f))))) {
     u = vrint_vf_vf(vmul_vf_vf_vf(d, vcast_vf_f(2 * M_1_PI)));
     q = vrint_vi2_vf(u);
     v = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_A2f*0.5f), d);
     s = dfadd2_vf2_vf_vf(v, vmul_vf_vf_vf(u, vcast_vf_f(-PI_B2f*0.5f)));
     s = dfadd_vf2_vf2_vf(s, vmul_vf_vf_vf(u, vcast_vf_f(-PI_C2f*0.5f)));
   } else {
-    vfloat2 dfq = dfmul_vf2_vf2_vf(vcast_vf2_f_f(2*M_1_PI, 2*M_1_PI - (float)(2*M_1_PI)), d);
-    vfloat t = vrint_vf_vf(vmul_vf_vf_vf(dfq.x, vcast_vf_f(1.0f / (1 << 16))));
-    dfq.y = vrint_vf_vf(vadd_vf_vf_vf(vmla_vf_vf_vf_vf(t, vcast_vf_f(-(1 << 16)), dfq.x), dfq.y));
-    q = vrint_vi2_vf(dfq.y);
-    dfq.x = vmul_vf_vf_vf(t, vcast_vf_f(1 << 16));
-    dfq = dfnormalize_vf2_vf2(dfq);
-
-    s = dfadd2_vf2_vf_vf2 (d, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_A3f*0.5f)));
-    s = dfnormalize_vf2_vf2(s);
-    s = dfadd2_vf2_vf2_vf2(s, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_B3f*0.5f)));
-    s = dfnormalize_vf2_vf2(s);
-    s = dfadd2_vf2_vf2_vf2(s, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_C3f*0.5f)));
-    s = dfnormalize_vf2_vf2(s);
-    s = dfadd2_vf2_vf2_vf2(s, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_D3f*0.5f)));
-    s = dfnormalize_vf2_vf2(s);
-    s = dfadd2_vf2_vf2_vf2(s, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_E3f*0.5f)));
-    s = dfnormalize_vf2_vf2(s);
+    dfi_t dfi = rempif(d);
+    q = dfi.i;
+    s = dfi.df;
+    o = vgt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(1e+28f));
+    s.x = vreinterpret_vf_vm(vandnot_vm_vo32_vm(o, vreinterpret_vm_vf(s.x)));
+    s.y = vreinterpret_vf_vm(vandnot_vm_vo32_vm(o, vreinterpret_vm_vf(s.y)));
+    o = visinf_vo_vf(d);
+    s.x = vreinterpret_vf_vm(vor_vm_vo32_vm(o, vreinterpret_vm_vf(s.x)));
+    s.y = vreinterpret_vf_vm(vor_vm_vo32_vm(o, vreinterpret_vm_vf(s.y)));
   }
 
   t = s;
@@ -604,14 +711,6 @@ TYPE2_FUNCATR vfloat2 XSINCOSF_U1(vfloat d) {
   o = veq_vo_vi2_vi2(vand_vi2_vi2_vi2(vadd_vi2_vi2_vi2(q, vcast_vi2_i(1)), vcast_vi2_i(2)), vcast_vi2_i(2));
   r.y = vreinterpret_vf_vm(vxor_vm_vm_vm(vand_vm_vo32_vm(o, vreinterpret_vm_vf(vcast_vf_f(-0.0))), vreinterpret_vm_vf(r.y)));
 
-  o = vgt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAX3f));
-  r.x = vreinterpret_vf_vm(vandnot_vm_vo32_vm(o, vreinterpret_vm_vf(r.x)));
-  r.y = vreinterpret_vf_vm(vandnot_vm_vo32_vm(o, vreinterpret_vm_vf(r.y)));
-  
-  o = visinf_vo_vf(d);
-  r.x = vreinterpret_vf_vm(vor_vm_vo32_vm(o, vreinterpret_vm_vf(r.x)));
-  r.y = vreinterpret_vf_vm(vor_vm_vo32_vm(o, vreinterpret_vm_vf(r.y)));
-
   return r;
 }
 
@@ -665,7 +764,7 @@ TYPE2_FUNCATR vfloat2 XSINCOSPIF_U05(vfloat d) {
   o = veq_vo_vi2_vi2(vand_vi2_vi2_vi2(vadd_vi2_vi2_vi2(q, vcast_vi2_i(2)), vcast_vi2_i(4)), vcast_vi2_i(4));
   r.y = vreinterpret_vf_vm(vxor_vm_vm_vm(vand_vm_vo32_vm(o, vreinterpret_vm_vf(vcast_vf_f(-0.0))), vreinterpret_vm_vf(r.y)));
 
-  o = vgt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAXf));
+  o = vgt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(1e+7f));
   r.x = vreinterpret_vf_vm(vandnot_vm_vo32_vm(o, vreinterpret_vm_vf(r.x)));
   r.y = vreinterpret_vf_vm(vandnot_vm_vo32_vm(o, vreinterpret_vm_vf(r.y)));
   
@@ -720,7 +819,7 @@ TYPE2_FUNCATR vfloat2 XSINCOSPIF_U35(vfloat d) {
   o = veq_vo_vi2_vi2(vand_vi2_vi2_vi2(vadd_vi2_vi2_vi2(q, vcast_vi2_i(2)), vcast_vi2_i(4)), vcast_vi2_i(4));
   r.y = vreinterpret_vf_vm(vxor_vm_vm_vm(vand_vm_vo32_vm(o, vreinterpret_vm_vf(vcast_vf_f(-0.0))), vreinterpret_vm_vf(r.y)));
 
-  o = vgt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAXf));
+  o = vgt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(1e+7f));
   r.x = vreinterpret_vf_vm(vandnot_vm_vo32_vm(o, vreinterpret_vm_vf(r.x)));
   r.y = vreinterpret_vf_vm(vandnot_vm_vo32_vm(o, vreinterpret_vm_vf(r.y)));
   
@@ -781,30 +880,19 @@ EXPORT CONST vfloat xtanf_u1(vfloat d) {
   vfloat2 s, t, x;
   vopmask o;
 
-  if (vtestallones_i_vo32(vlt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAX2f)))) {
+  if (LIKELY(vtestallones_i_vo32(vlt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAX2f))))) {
     u = vrint_vf_vf(vmul_vf_vf_vf(d, vcast_vf_f(2 * M_1_PI)));
     q = vrint_vi2_vf(u);
     v = vmla_vf_vf_vf_vf(u, vcast_vf_f(-PI_A2f*0.5f), d);
     s = dfadd2_vf2_vf_vf(v, vmul_vf_vf_vf(u, vcast_vf_f(-PI_B2f*0.5f)));
     s = dfadd_vf2_vf2_vf(s, vmul_vf_vf_vf(u, vcast_vf_f(-PI_C2f*0.5f)));
   } else {
-    vfloat2 dfq = dfmul_vf2_vf2_vf(vcast_vf2_f_f(2*M_1_PI, 2*M_1_PI - (float)(2*M_1_PI)), d);
-    vfloat t = vrint_vf_vf(vmul_vf_vf_vf(dfq.x, vcast_vf_f(1.0f / (1 << 16))));
-    dfq.y = vrint_vf_vf(vadd_vf_vf_vf(vmla_vf_vf_vf_vf(t, vcast_vf_f(-(1 << 16)), dfq.x), dfq.y));
-    q = vrint_vi2_vf(dfq.y);
-    dfq.x = vmul_vf_vf_vf(t, vcast_vf_f(1 << 16));
-    dfq = dfnormalize_vf2_vf2(dfq);
-
-    s = dfadd2_vf2_vf_vf2 (d, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_A3f*0.5f)));
-    s = dfnormalize_vf2_vf2(s);
-    s = dfadd2_vf2_vf2_vf2(s, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_B3f*0.5f)));
-    s = dfnormalize_vf2_vf2(s);
-    s = dfadd2_vf2_vf2_vf2(s, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_C3f*0.5f)));
-    s = dfnormalize_vf2_vf2(s);
-    s = dfadd2_vf2_vf2_vf2(s, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_D3f*0.5f)));
-    s = dfnormalize_vf2_vf2(s);
-    s = dfadd2_vf2_vf2_vf2(s, dfmul_vf2_vf2_vf(dfq, vcast_vf_f(-PI_E3f*0.5f)));
-    s = dfnormalize_vf2_vf2(s);
+    dfi_t dfi = rempif(d);
+    q = dfi.i;
+    s = dfi.df;
+    o = visinf_vo_vf(d);
+    s.x = vreinterpret_vf_vm(vor_vm_vo32_vm(o, vreinterpret_vm_vf(s.x)));
+    s.y = vreinterpret_vf_vm(vor_vm_vo32_vm(o, vreinterpret_vm_vf(s.y)));
   }
 
   o = veq_vo_vi2_vi2(vand_vi2_vi2_vi2(q, vcast_vi2_i(1)), vcast_vi2_i(1));
@@ -830,10 +918,7 @@ EXPORT CONST vfloat xtanf_u1(vfloat d) {
 
   u = vadd_vf_vf_vf(x.x, x.y);
 
-  u = vsel_vf_vo_vf_vf(vandnot_vo_vo_vo(visinf_vo_vf(d),
-					vor_vo_vo_vo(visnegzero_vo_vf(d),
-						     vgt_vo_vf_vf(vabs_vf_vf(d), vcast_vf_f(TRIGRANGEMAX3f)))),
-		       vcast_vf_f(-0.0f), u);
+  u = vsel_vf_vo_vf_vf(visnegzero_vo_vf(d), d, u);
   
   return u;
 }
diff --git a/src/libm/sleefsp.c b/src/libm/sleefsp.c
index 65756667..e87114ff 100644
--- a/src/libm/sleefsp.c
+++ b/src/libm/sleefsp.c
@@ -1,4 +1,4 @@
-//          Copyright Naoki Shibata 2010 - 2017.
+//          Copyright Naoki Shibata 2010 - 2018.
 // Distributed under the Boost Software License, Version 1.0.
 //    (See accompanying file LICENSE.txt or copy at
 //          http://www.boost.org/LICENSE_1_0.txt)
@@ -20,6 +20,8 @@
 
 #include "misc.h"
 
+extern const float rempitabsp[];
+
 #ifdef DORENAME
 #include "rename.h"
 #endif
@@ -410,20 +412,83 @@ static INLINE CONST Sleef_float2 dfsqrt_f2_f(float d) {
 
 //
 
+typedef struct {
+  float d;
+  int32_t i;
+} fi_t;
+
+typedef struct {
+  Sleef_float2 df;
+  int32_t i;
+} dfi_t;
+
+static CONST fi_t rempisubf(float x) {
+  fi_t ret;
+  float fr = x - (float)(1LL << 10) * (int32_t)(x * (1.0f / (1LL << 10)));
+  ret.i = ((7 & ((x > 0 ? 4 : 3) + (int32_t)(fr * 8))) - 3) >> 1;
+  fr = fr - 0.25f * (int32_t)(fr * 4 + mulsignf(0.5f, x));
+  fr = fabsfk(fr) > 0.125f ? (fr - mulsignf(0.5f, x)) : fr;
+  fr = fabsfk(fr) > 1e+10f ? 0 : fr;
+  if (fabsfk(x) == 0.12499999254941940308f) { fr = x; ret.i = 0; }
+  ret.d = fr;
+  return ret;
+}
+
+static CONST dfi_t rempif(float a) {
+  Sleef_float2 x, y, z;
+  fi_t di;
+  float t;
+  int ex = ilogb2kf(a) - 25, q;
+  if (ex < 0) ex = 0;
+  ex *= 4;
+  x = dfmul_f2_f_f(a, rempitabsp[ex]);
+  di = rempisubf(x.x);
+  q = di.i;
+  x.x = di.d;
+  x = dfnormalize_f2_f2(x);
+  y = dfmul_f2_f_f(a, rempitabsp[ex+1]);
+  x = dfadd2_f2_f2_f2(x, y);
+  di = rempisubf(x.x);
+  q += di.i;
+  x.x = di.d;
+  x = dfnormalize_f2_f2(x);
+  y = dfmul_f2_f2_f(df(rempitabsp[ex+2], rempitabsp[ex+3]), a);
+  x = dfadd2_f2_f2_f2(x, y);
+  x = dfnormalize_f2_f2(x);
+  x = dfmul_f2_f2_f2(x, df(3.1415927410125732422f*2, -8.7422776573475857731e-08f*2));
+  dfi_t ret = { fabsfk(a) < 0.7f ? df(a, 0) : x, q };
+  return ret;
+}
+
 EXPORT CONST float xsinf(float d) {
   int q;
   float u, s, t = d;
 
-  q = (int)rintfk(d * (float)M_1_PI);
-
-  d = mlaf(q, -PI_Af, d);
-  d = mlaf(q, -PI_Bf, d);
-  d = mlaf(q, -PI_Cf, d);
-  d = mlaf(q, -PI_Df, d);
+  if (fabsfk(d) < TRIGRANGEMAX2f) {
+    q = (int)rintfk(d * (float)M_1_PI);
+    d = mlaf(q, -PI_A2f, d);
+    d = mlaf(q, -PI_B2f, d);
+    d = mlaf(q, -PI_C2f, d);
+  } else if (fabsfk(d) < TRIGRANGEMAXf) {
+    q = (int)rintfk(d * (float)M_1_PI);
+    d = mlaf(q, -PI_Af, d);
+    d = mlaf(q, -PI_Bf, d);
+    d = mlaf(q, -PI_Cf, d);
+    d = mlaf(q, -PI_Df, d);
+  } else {
+    dfi_t dfi = rempif(t);
+    q = ((dfi.i & 3) * 2 + (dfi.df.x > 0) + 1) >> 2;
+    if ((dfi.i & 1) != 0) {
+      dfi.df = dfadd2_f2_f2_f2(dfi.df, df(mulsignf(3.1415927410125732422f*-0.5, dfi.df.x),
+					  mulsignf(-8.7422776573475857731e-08f*-0.5, dfi.df.x)));
+    }
+    d = dfi.df.x + dfi.df.y;
+
+    if (fabsfk(t) > 1e+28f && !xisinff(t)) d = 0;
+  }
 
   s = d * d;
 
-  if (floatToRawIntBits(d) == floatToRawIntBits(-0.0f)) s = -0.0f;
   if ((q & 1) != 0) d = -d;
 
   u = 2.6083159809786593541503e-06f;
@@ -433,8 +498,7 @@ EXPORT CONST float xsinf(float d) {
 
   u = mlaf(s, u * d, d);
 
-  if (xisnegzerof(t) || fabsfk(t) > TRIGRANGEMAXf) u = -0.0f;
-  if (xisinff(t)) u = SLEEF_NANf;
+  if (xisnegzerof(t)) u = -0.0f;
 
   return u;
 }
@@ -450,23 +514,15 @@ EXPORT CONST float xsinf_u1(float d) {
     s = dfadd2_f2_f_f(u, q * (-PI_B2f));
     s = dfadd_f2_f2_f(s, q * (-PI_C2f));
   } else {
-    Sleef_float2 dfq = dfmul_f2_f2_f(df(M_1_PI, M_1_PI - (float)M_1_PI), d);
-    float t = rintfk(dfq.x * (1.0f / (1 << 16)));
-    dfq.y = rintfk(dfq.x - t * (1 << 16) + dfq.y);
-    q = (int)dfq.y;
-    dfq.x = t * (1 << 16);
-    dfq = dfnormalize_f2_f2(dfq);
-
-    s = dfadd2_f2_f_f2 (d, dfmul_f2_f2_f(dfq, -PI_A3f));
-    s = dfnormalize_f2_f2(s);
-    s = dfadd2_f2_f2_f2(s, dfmul_f2_f2_f(dfq, -PI_B3f));
-    s = dfnormalize_f2_f2(s);
-    s = dfadd2_f2_f2_f2(s, dfmul_f2_f2_f(dfq, -PI_C3f));
-    s = dfnormalize_f2_f2(s);
-    s = dfadd2_f2_f2_f2(s, dfmul_f2_f2_f(dfq, -PI_D3f));
-    s = dfnormalize_f2_f2(s);
-    s = dfadd2_f2_f2_f2(s, dfmul_f2_f2_f(dfq, -PI_E3f));
-    s = dfnormalize_f2_f2(s);
+    dfi_t dfi = rempif(d);
+    q = ((dfi.i & 3) * 2 + (dfi.df.x > 0) + 1) >> 2;
+    if ((dfi.i & 1) != 0) {
+      dfi.df = dfadd2_f2_f2_f2(dfi.df, df(mulsignf(3.1415927410125732422f*-0.5, dfi.df.x),
+					  mulsignf(-8.7422776573475857731e-08f*-0.5, dfi.df.x)));
+    }
+    s = dfnormalize_f2_f2(dfi.df);
+
+    if (fabsfk(d) > 1e+28f && !xisinff(d)) s = df(0, 0);
   }
   
   t = s;
@@ -481,7 +537,7 @@ EXPORT CONST float xsinf_u1(float d) {
   u = dfmul_f_f2_f2(t, x);
 
   if ((q & 1) != 0) u = -u;
-  if (!xisinff(d) && (xisnegzerof(d) || fabsfk(d) > TRIGRANGEMAX3f)) u = -0.0f;
+  if (xisnegzerof(d)) u = d;
 
   return u;
 }
@@ -490,12 +546,28 @@ EXPORT CONST float xcosf(float d) {
   int q;
   float u, s, t = d;
 
-  q = 1 + 2*(int)rintfk(d * (float)M_1_PI - 0.5f);
-
-  d = mlaf(q, -PI_Af*0.5f, d);
-  d = mlaf(q, -PI_Bf*0.5f, d);
-  d = mlaf(q, -PI_Cf*0.5f, d);
-  d = mlaf(q, -PI_Df*0.5f, d);
+  if (fabsfk(d) < TRIGRANGEMAX2f) {
+    q = 1 + 2*(int)rintfk(d * (float)M_1_PI - 0.5f);
+    d = mlaf(q, -PI_A2f*0.5f, d);
+    d = mlaf(q, -PI_B2f*0.5f, d);
+    d = mlaf(q, -PI_C2f*0.5f, d);
+  } else if (fabsfk(d) < TRIGRANGEMAXf) {
+    q = 1 + 2*(int)rintfk(d * (float)M_1_PI - 0.5f);
+    d = mlaf(q, -PI_Af*0.5f, d);
+    d = mlaf(q, -PI_Bf*0.5f, d);
+    d = mlaf(q, -PI_Cf*0.5f, d);
+    d = mlaf(q, -PI_Df*0.5f, d);
+  } else {
+    dfi_t dfi = rempif(t);
+    q = ((dfi.i & 3) * 2 + (dfi.df.x > 0) + 7) >> 1;
+    if ((dfi.i & 1) == 0) {
+      dfi.df = dfadd2_f2_f2_f2(dfi.df, df(mulsignf(3.1415927410125732422f*-0.5, dfi.df.x > 0 ? 1 : -1),
+					  mulsignf(-8.7422776573475857731e-08f*-0.5, dfi.df.x > 0 ? 1 : -1)));
+    }
+    d = dfi.df.x + dfi.df.y;
+
+    if (!xisinff(t) && fabsfk(t) > 1e+28f) d = 0;
+  }
 
   s = d * d;
 
@@ -507,9 +579,6 @@ EXPORT CONST float xcosf(float d) {
   u = mlaf(u, s, -0.166666597127914428710938f);
 
   u = mlaf(s, u * d, d);
-
-  if (fabsfk(t) > TRIGRANGEMAXf) u = 1.0f;
-  if (xisinff(t)) u = SLEEF_NANf;
   
   return u;
 }
@@ -519,32 +588,23 @@ EXPORT CONST float xcosf_u1(float d) {
   Sleef_float2 s, t, x;
   int q;
 
-  d = fabsfk(d);
-
-  if (d < TRIGRANGEMAX2f) {
+  if (fabsfk(d) < TRIGRANGEMAX2f) {
+    d = fabsfk(d);
     float dq = mlaf(rintfk(d * (float)M_1_PI - 0.5f), 2, 1);
     q = (int)dq;
     s = dfadd2_f2_f_f (d, dq * (-PI_A2f*0.5f));
     s = dfadd2_f2_f2_f(s, dq * (-PI_B2f*0.5f));
     s = dfadd2_f2_f2_f(s, dq * (-PI_C2f*0.5f));
   } else {
-    Sleef_float2 dfq = dfadd2_f2_f2_f(dfmul_f2_f2_f(df(M_1_PI, M_1_PI - (float)M_1_PI), d), -0.5f);
-    float t = rintfk(dfq.x * (1.0f / (1 << 16)));
-    dfq.y = rintfk(dfq.x - t * (1 << 16) + dfq.y) * 2 + 1;
-    q = (int)dfq.y;
-    dfq.x = t * (1 << 17);
-    dfq = dfnormalize_f2_f2(dfq);
-
-    s = dfadd2_f2_f_f2 (d, dfmul_f2_f2_f(dfq, -PI_A3f*0.5f));
-    s = dfnormalize_f2_f2(s);
-    s = dfadd2_f2_f2_f2(s, dfmul_f2_f2_f(dfq, -PI_B3f*0.5f));
-    s = dfnormalize_f2_f2(s);
-    s = dfadd2_f2_f2_f2(s, dfmul_f2_f2_f(dfq, -PI_C3f*0.5f));
-    s = dfnormalize_f2_f2(s);
-    s = dfadd2_f2_f2_f2(s, dfmul_f2_f2_f(dfq, -PI_D3f*0.5f));
-    s = dfnormalize_f2_f2(s);
-    s = dfadd2_f2_f2_f2(s, dfmul_f2_f2_f(dfq, -PI_E3f*0.5f));
-    s = dfnormalize_f2_f2(s);
+    dfi_t dfi = rempif(d);
+    q = ((dfi.i & 3) * 2 + (dfi.df.x > 0) + 7) >> 1;
+    if ((dfi.i & 1) == 0) {
+      dfi.df = dfadd2_f2_f2_f2(dfi.df, df(mulsignf(3.1415927410125732422f*-0.5, dfi.df.x > 0 ? 1 : -1),
+					  mulsignf(-8.7422776573475857731e-08f*-0.5, dfi.df.x > 0 ? 1 : -1)));
+    }
+    s = dfnormalize_f2_f2(dfi.df);
+
+    if (!xisinff(d) && d > 1e+28f) s = df(0, 0);
   }
   
   t = s;
@@ -559,7 +619,7 @@ EXPORT CONST float xcosf_u1(float d) {
   u = dfmul_f_f2_f2(t, x);
 
   if ((((int)q) & 2) == 0) u = -u;
-  if (!xisinff(d) && d > TRIGRANGEMAX3f) u = 1.0f;
+
   return u;
 }
 
@@ -568,14 +628,27 @@ EXPORT CONST Sleef_float2 xsincosf(float d) {
   float u, s, t;
   Sleef_float2 r;
 
-  q = (int)rintfk(d * ((float)(2 * M_1_PI)));
-
   s = d;
 
-  s = mlaf(q, -PI_Af*0.5f, s);
-  s = mlaf(q, -PI_Bf*0.5f, s);
-  s = mlaf(q, -PI_Cf*0.5f, s);
-  s = mlaf(q, -PI_Df*0.5f, s);
+  if (fabsfk(d) < TRIGRANGEMAX2f) {
+    q = (int)rintfk(d * ((float)(2 * M_1_PI)));
+    s = mlaf(q, -PI_A2f*0.5f, s);
+    s = mlaf(q, -PI_B2f*0.5f, s);
+    s = mlaf(q, -PI_C2f*0.5f, s);
+  } else if (fabsfk(d) < TRIGRANGEMAXf) {
+    q = (int)rintfk(d * ((float)(2 * M_1_PI)));
+    s = mlaf(q, -PI_Af*0.5f, s);
+    s = mlaf(q, -PI_Bf*0.5f, s);
+    s = mlaf(q, -PI_Cf*0.5f, s);
+    s = mlaf(q, -PI_Df*0.5f, s);
+  } else {
+    dfi_t dfi = rempif(d);
+    q = dfi.i;
+    s = dfi.df.x + dfi.df.y;
+
+    if (fabsfk(d) > 1e+28f) s = 0;
+    if (xisinff(d)) s = SLEEF_NANf;
+  }
 
   t = s;
 
@@ -602,9 +675,6 @@ EXPORT CONST Sleef_float2 xsincosf(float d) {
   if ((q & 2) != 0) { r.x = -r.x; }
   if (((q+1) & 2) != 0) { r.y = -r.y; }
 
-  if (fabsfk(d) > TRIGRANGEMAXf) { r.x = 0; r.y = 1; }
-  if (xisinff(d)) { r.x = r.y = SLEEF_NANf; }
-
   return r;
 }
 
@@ -619,23 +689,12 @@ EXPORT CONST Sleef_float2 xsincosf_u1(float d) {
     s = dfadd2_f2_f_f(u, q * (-PI_B2f*0.5f));
     s = dfadd_f2_f2_f(s, q * (-PI_C2f*0.5f));
   } else {
-    Sleef_float2 dfq = dfmul_f2_f2_f(df((2 * M_1_PI), (2 * M_1_PI) - (float)(2 * M_1_PI)), d);
-    float t = rintfk(dfq.x * (1.0f / (1 << 16)));
-    dfq.y = rintfk(dfq.x - t * (1 << 16) + dfq.y);
-    q = (int)dfq.y;
-    dfq.x = t * (1 << 16);
-    dfq = dfnormalize_f2_f2(dfq);
-
-    s = dfadd2_f2_f_f2 (d, dfmul_f2_f2_f(dfq, -PI_A3f*0.5f));
-    s = dfnormalize_f2_f2(s);
-    s = dfadd2_f2_f2_f2(s, dfmul_f2_f2_f(dfq, -PI_B3f*0.5f));
-    s = dfnormalize_f2_f2(s);
-    s = dfadd2_f2_f2_f2(s, dfmul_f2_f2_f(dfq, -PI_C3f*0.5f));
-    s = dfnormalize_f2_f2(s);
-    s = dfadd2_f2_f2_f2(s, dfmul_f2_f2_f(dfq, -PI_D3f*0.5f));
-    s = dfnormalize_f2_f2(s);
-    s = dfadd2_f2_f2_f2(s, dfmul_f2_f2_f(dfq, -PI_E3f*0.5f));
-    s = dfnormalize_f2_f2(s);
+    dfi_t dfi = rempif(d);
+    q = dfi.i;
+    s = dfi.df;
+
+    if (fabsfk(d) > 1e+28f) s = df(0, 0);
+    if (xisinff(d)) s = df(SLEEF_NANf, SLEEF_NANf);
   }
   
   t = s;
@@ -664,9 +723,6 @@ EXPORT CONST Sleef_float2 xsincosf_u1(float d) {
   if ((q & 2) != 0) { r.x = -r.x; }
   if (((q+1) & 2) != 0) { r.y = -r.y; }
 
-  if (fabsfk(d) > TRIGRANGEMAX3f) { r.x = 0; r.y = 1; }
-  if (xisinff(d)) { r.x = r.y = SLEEF_NAN; }
-
   return r;
 }
 
@@ -707,7 +763,7 @@ EXPORT CONST Sleef_float2 xsincospif_u05(float d) {
   if ((q & 4) != 0) { r.x = -r.x; }
   if (((q+2) & 4) != 0) { r.y = -r.y; }
 
-  if (fabsfk(d) > TRIGRANGEMAXf/4) { r.x = 0; r.y = 1; }
+  if (fabsfk(d) > 1e+7f) { r.x = 0; r.y = 1; }
   if (xisinff(d)) { r.x = r.y = SLEEF_NANf; }
 
   return r;
@@ -745,7 +801,7 @@ EXPORT CONST Sleef_float2 xsincospif_u35(float d) {
   if ((q & 4) != 0) { r.x = -r.x; }
   if (((q+2) & 4) != 0) { r.y = -r.y; }
 
-  if (fabsfk(d) > TRIGRANGEMAXf/4) { r.x = 0; r.y = 1; }
+  if (fabsfk(d) > 1e+7f) { r.x = 0; r.y = 1; }
   if (xisinff(d)) { r.x = r.y = SLEEF_NANf; }
 
   return r;
@@ -755,14 +811,25 @@ EXPORT CONST float xtanf(float d) {
   int q;
   float u, s, x;
 
-  q = (int)rintfk(d * (float)(2 * M_1_PI));
-
   x = d;
 
-  x = mlaf(q, -PI_Af*0.5f, x);
-  x = mlaf(q, -PI_Bf*0.5f, x);
-  x = mlaf(q, -PI_Cf*0.5f, x);
-  x = mlaf(q, -PI_Df*0.5f, x);
+  if (fabsfk(d) < TRIGRANGEMAX2f) {
+    q = (int)rintfk(d * (float)(2 * M_1_PI));
+    x = mlaf(q, -PI_A2f*0.5f, x);
+    x = mlaf(q, -PI_B2f*0.5f, x);
+    x = mlaf(q, -PI_C2f*0.5f, x);
+  } else if (fabsfk(d) < TRIGRANGEMAXf) {
+    q = (int)rintfk(d * (float)(2 * M_1_PI));
+    x = mlaf(q, -PI_Af*0.5f, x);
+    x = mlaf(q, -PI_Bf*0.5f, x);
+    x = mlaf(q, -PI_Cf*0.5f, x);
+    x = mlaf(q, -PI_Df*0.5f, x);
+  } else {
+    dfi_t dfi = rempif(d);
+    q = dfi.i;
+    x = dfi.df.x + dfi.df.y;
+    if (xisinff(d)) x = SLEEF_NANf;
+  }
 
   s = x * x;
 
@@ -779,8 +846,6 @@ EXPORT CONST float xtanf(float d) {
 
   if ((q & 1) != 0) u = 1.0f / u;
 
-  if (xisinff(d)) u = SLEEF_NANf;
-
   return u;
 }
 
@@ -795,23 +860,9 @@ EXPORT CONST float xtanf_u1(float d) {
     s = dfadd2_f2_f_f(u, q * (-PI_B2f*0.5f));
     s = dfadd_f2_f2_f(s, q * (-PI_C2f*0.5f));
   } else {
-    Sleef_float2 dfq = dfmul_f2_f2_f(df((2 * M_1_PI), (2 * M_1_PI) - (float)(2 * M_1_PI)), d);
-    float t = rintfk(dfq.x * (1.0f / (1 << 16)));
-    dfq.y = rintfk(dfq.x - t * (1 << 16) + dfq.y);
-    q = (int)dfq.y;
-    dfq.x = t * (1 << 16);
-    dfq = dfnormalize_f2_f2(dfq);
-
-    s = dfadd2_f2_f_f2 (d, dfmul_f2_f2_f(dfq, -PI_A3f*0.5f));
-    s = dfnormalize_f2_f2(s);
-    s = dfadd2_f2_f2_f2(s, dfmul_f2_f2_f(dfq, -PI_B3f*0.5f));
-    s = dfnormalize_f2_f2(s);
-    s = dfadd2_f2_f2_f2(s, dfmul_f2_f2_f(dfq, -PI_C3f*0.5f));
-    s = dfnormalize_f2_f2(s);
-    s = dfadd2_f2_f2_f2(s, dfmul_f2_f2_f(dfq, -PI_D3f*0.5f));
-    s = dfnormalize_f2_f2(s);
-    s = dfadd2_f2_f2_f2(s, dfmul_f2_f2_f(dfq, -PI_E3f*0.5f));
-    s = dfnormalize_f2_f2(s);
+    dfi_t dfi = rempif(d);
+    q = dfi.i;
+    s = dfi.df;
   }
 
   if ((q & 1) != 0) s = dfneg_f2_f2(s);
@@ -834,7 +885,7 @@ EXPORT CONST float xtanf_u1(float d) {
 
   u = x.x + x.y;
 
-  if (!xisinff(d) && (xisnegzerof(d) || fabsfk(d) > TRIGRANGEMAX3f)) u = -0.0f;
+  if (!xisinff(d) && (xisnegzerof(d) || fabsfk(d) > 1e+28f)) u = -0.0f;
 
   return u;
 }