diff --git a/bits/libm-simd-decl-stubs.h b/bits/libm-simd-decl-stubs.h
index 9ed3c17389..3968f2935b 100644
--- a/bits/libm-simd-decl-stubs.h
+++ b/bits/libm-simd-decl-stubs.h
@@ -307,4 +307,15 @@
 #define __DECL_SIMD_sinhf32x
 #define __DECL_SIMD_sinhf64x
 #define __DECL_SIMD_sinhf128x
+
+#define __DECL_SIMD_tan
+#define __DECL_SIMD_tanf
+#define __DECL_SIMD_tanl
+#define __DECL_SIMD_tanf16
+#define __DECL_SIMD_tanf32
+#define __DECL_SIMD_tanf64
+#define __DECL_SIMD_tanf128
+#define __DECL_SIMD_tanf32x
+#define __DECL_SIMD_tanf64x
+#define __DECL_SIMD_tanf128x
 #endif
diff --git a/math/bits/mathcalls.h b/math/bits/mathcalls.h
index cb733b3773..48a525234e 100644
--- a/math/bits/mathcalls.h
+++ b/math/bits/mathcalls.h
@@ -63,7 +63,7 @@ __MATHCALL_VEC (cos,, (_Mdouble_ __x));
 /* Sine of X.  */
 __MATHCALL_VEC (sin,, (_Mdouble_ __x));
 /* Tangent of X.  */
-__MATHCALL (tan,, (_Mdouble_ __x));
+__MATHCALL_VEC (tan,, (_Mdouble_ __x));
 
 /* Hyperbolic functions.  */
 
diff --git a/sysdeps/unix/sysv/linux/x86_64/libmvec.abilist b/sysdeps/unix/sysv/linux/x86_64/libmvec.abilist
index 19f5e2edf2..f8280539f6 100644
--- a/sysdeps/unix/sysv/linux/x86_64/libmvec.abilist
+++ b/sysdeps/unix/sysv/linux/x86_64/libmvec.abilist
@@ -63,6 +63,7 @@ GLIBC_2.35 _ZGVbN2v_log10 F
 GLIBC_2.35 _ZGVbN2v_log1p F
 GLIBC_2.35 _ZGVbN2v_log2 F
 GLIBC_2.35 _ZGVbN2v_sinh F
+GLIBC_2.35 _ZGVbN2v_tan F
 GLIBC_2.35 _ZGVbN2vv_atan2 F
 GLIBC_2.35 _ZGVbN2vv_hypot F
 GLIBC_2.35 _ZGVbN4v_acosf F
@@ -82,6 +83,7 @@ GLIBC_2.35 _ZGVbN4v_log10f F
 GLIBC_2.35 _ZGVbN4v_log1pf F
 GLIBC_2.35 _ZGVbN4v_log2f F
 GLIBC_2.35 _ZGVbN4v_sinhf F
+GLIBC_2.35 _ZGVbN4v_tanf F
 GLIBC_2.35 _ZGVbN4vv_atan2f F
 GLIBC_2.35 _ZGVbN4vv_hypotf F
 GLIBC_2.35 _ZGVcN4v_acos F
@@ -101,6 +103,7 @@ GLIBC_2.35 _ZGVcN4v_log10 F
 GLIBC_2.35 _ZGVcN4v_log1p F
 GLIBC_2.35 _ZGVcN4v_log2 F
 GLIBC_2.35 _ZGVcN4v_sinh F
+GLIBC_2.35 _ZGVcN4v_tan F
 GLIBC_2.35 _ZGVcN4vv_atan2 F
 GLIBC_2.35 _ZGVcN4vv_hypot F
 GLIBC_2.35 _ZGVcN8v_acosf F
@@ -120,6 +123,7 @@ GLIBC_2.35 _ZGVcN8v_log10f F
 GLIBC_2.35 _ZGVcN8v_log1pf F
 GLIBC_2.35 _ZGVcN8v_log2f F
 GLIBC_2.35 _ZGVcN8v_sinhf F
+GLIBC_2.35 _ZGVcN8v_tanf F
 GLIBC_2.35 _ZGVcN8vv_atan2f F
 GLIBC_2.35 _ZGVcN8vv_hypotf F
 GLIBC_2.35 _ZGVdN4v_acos F
@@ -139,6 +143,7 @@ GLIBC_2.35 _ZGVdN4v_log10 F
 GLIBC_2.35 _ZGVdN4v_log1p F
 GLIBC_2.35 _ZGVdN4v_log2 F
 GLIBC_2.35 _ZGVdN4v_sinh F
+GLIBC_2.35 _ZGVdN4v_tan F
 GLIBC_2.35 _ZGVdN4vv_atan2 F
 GLIBC_2.35 _ZGVdN4vv_hypot F
 GLIBC_2.35 _ZGVdN8v_acosf F
@@ -158,6 +163,7 @@ GLIBC_2.35 _ZGVdN8v_log10f F
 GLIBC_2.35 _ZGVdN8v_log1pf F
 GLIBC_2.35 _ZGVdN8v_log2f F
 GLIBC_2.35 _ZGVdN8v_sinhf F
+GLIBC_2.35 _ZGVdN8v_tanf F
 GLIBC_2.35 _ZGVdN8vv_atan2f F
 GLIBC_2.35 _ZGVdN8vv_hypotf F
 GLIBC_2.35 _ZGVeN16v_acosf F
@@ -177,6 +183,7 @@ GLIBC_2.35 _ZGVeN16v_log10f F
 GLIBC_2.35 _ZGVeN16v_log1pf F
 GLIBC_2.35 _ZGVeN16v_log2f F
 GLIBC_2.35 _ZGVeN16v_sinhf F
+GLIBC_2.35 _ZGVeN16v_tanf F
 GLIBC_2.35 _ZGVeN16vv_atan2f F
 GLIBC_2.35 _ZGVeN16vv_hypotf F
 GLIBC_2.35 _ZGVeN8v_acos F
@@ -196,5 +203,6 @@ GLIBC_2.35 _ZGVeN8v_log10 F
 GLIBC_2.35 _ZGVeN8v_log1p F
 GLIBC_2.35 _ZGVeN8v_log2 F
 GLIBC_2.35 _ZGVeN8v_sinh F
+GLIBC_2.35 _ZGVeN8v_tan F
 GLIBC_2.35 _ZGVeN8vv_atan2 F
 GLIBC_2.35 _ZGVeN8vv_hypot F
diff --git a/sysdeps/x86/fpu/bits/math-vector.h b/sysdeps/x86/fpu/bits/math-vector.h
index 3fab52e942..618a30cdc1 100644
--- a/sysdeps/x86/fpu/bits/math-vector.h
+++ b/sysdeps/x86/fpu/bits/math-vector.h
@@ -134,6 +134,10 @@
 #  define __DECL_SIMD_sinh __DECL_SIMD_x86_64
 #  undef __DECL_SIMD_sinhf
 #  define __DECL_SIMD_sinhf __DECL_SIMD_x86_64
+#  undef __DECL_SIMD_tan
+#  define __DECL_SIMD_tan __DECL_SIMD_x86_64
+#  undef __DECL_SIMD_tanf
+#  define __DECL_SIMD_tanf __DECL_SIMD_x86_64
 
 # endif
 #endif
diff --git a/sysdeps/x86/fpu/finclude/math-vector-fortran.h b/sysdeps/x86/fpu/finclude/math-vector-fortran.h
index 6784b6d1ba..5bcdde5bc4 100644
--- a/sysdeps/x86/fpu/finclude/math-vector-fortran.h
+++ b/sysdeps/x86/fpu/finclude/math-vector-fortran.h
@@ -66,6 +66,8 @@
 !GCC$ builtin (log2f) attributes simd (notinbranch) if('x86_64')
 !GCC$ builtin (sinh) attributes simd (notinbranch) if('x86_64')
 !GCC$ builtin (sinhf) attributes simd (notinbranch) if('x86_64')
+!GCC$ builtin (tan) attributes simd (notinbranch) if('x86_64')
+!GCC$ builtin (tanf) attributes simd (notinbranch) if('x86_64')
 
 !GCC$ builtin (cos) attributes simd (notinbranch) if('x32')
 !GCC$ builtin (cosf) attributes simd (notinbranch) if('x32')
@@ -117,3 +119,5 @@
 !GCC$ builtin (log2f) attributes simd (notinbranch) if('x32')
 !GCC$ builtin (sinh) attributes simd (notinbranch) if('x32')
 !GCC$ builtin (sinhf) attributes simd (notinbranch) if('x32')
+!GCC$ builtin (tan) attributes simd (notinbranch) if('x32')
+!GCC$ builtin (tanf) attributes simd (notinbranch) if('x32')
diff --git a/sysdeps/x86_64/fpu/Makeconfig b/sysdeps/x86_64/fpu/Makeconfig
index 3ea019a0d6..30a884590f 100644
--- a/sysdeps/x86_64/fpu/Makeconfig
+++ b/sysdeps/x86_64/fpu/Makeconfig
@@ -47,6 +47,7 @@ libmvec-funcs = \
   sin \
   sincos \
   sinh \
+  tan \
 
 # Define libmvec function for benchtests directory.
 libmvec-bench-funcs = \
diff --git a/sysdeps/x86_64/fpu/Versions b/sysdeps/x86_64/fpu/Versions
index 626142bd6b..6cb335cf94 100644
--- a/sysdeps/x86_64/fpu/Versions
+++ b/sysdeps/x86_64/fpu/Versions
@@ -31,6 +31,7 @@ libmvec {
     _ZGVbN2v_log1p; _ZGVcN4v_log1p; _ZGVdN4v_log1p; _ZGVeN8v_log1p;
     _ZGVbN2v_log2; _ZGVcN4v_log2; _ZGVdN4v_log2; _ZGVeN8v_log2;
     _ZGVbN2v_sinh; _ZGVcN4v_sinh; _ZGVdN4v_sinh; _ZGVeN8v_sinh;
+    _ZGVbN2v_tan; _ZGVcN4v_tan; _ZGVdN4v_tan; _ZGVeN8v_tan;
     _ZGVbN2vv_atan2; _ZGVcN4vv_atan2; _ZGVdN4vv_atan2; _ZGVeN8vv_atan2;
     _ZGVbN2vv_hypot; _ZGVcN4vv_hypot; _ZGVdN4vv_hypot; _ZGVeN8vv_hypot;
     _ZGVbN4v_acosf; _ZGVcN8v_acosf; _ZGVdN8v_acosf; _ZGVeN16v_acosf;
@@ -50,6 +51,7 @@ libmvec {
     _ZGVbN4v_log1pf; _ZGVcN8v_log1pf; _ZGVdN8v_log1pf; _ZGVeN16v_log1pf;
     _ZGVbN4v_log2f; _ZGVcN8v_log2f; _ZGVdN8v_log2f; _ZGVeN16v_log2f;
     _ZGVbN4v_sinhf; _ZGVcN8v_sinhf; _ZGVdN8v_sinhf; _ZGVeN16v_sinhf;
+    _ZGVbN4v_tanf; _ZGVcN8v_tanf; _ZGVdN8v_tanf; _ZGVeN16v_tanf;
     _ZGVbN4vv_atan2f; _ZGVcN8vv_atan2f; _ZGVdN8vv_atan2f; _ZGVeN16vv_atan2f;
     _ZGVbN4vv_hypotf; _ZGVcN8vv_hypotf; _ZGVdN8vv_hypotf; _ZGVeN16vv_hypotf;
   }
diff --git a/sysdeps/x86_64/fpu/libm-test-ulps b/sysdeps/x86_64/fpu/libm-test-ulps
index 67126a5c2b..4a6b224b5d 100644
--- a/sysdeps/x86_64/fpu/libm-test-ulps
+++ b/sysdeps/x86_64/fpu/libm-test-ulps
@@ -2080,6 +2080,26 @@ float: 1
 float128: 1
 ldouble: 2
 
+Function: "tan_vlen16":
+float: 1
+
+Function: "tan_vlen2":
+double: 2
+
+Function: "tan_vlen4":
+double: 2
+float: 2
+
+Function: "tan_vlen4_avx2":
+double: 1
+
+Function: "tan_vlen8":
+double: 2
+float: 2
+
+Function: "tan_vlen8_avx2":
+float: 2
+
 Function: "tanh":
 double: 2
 float: 2
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_tan2_core-sse2.S b/sysdeps/x86_64/fpu/multiarch/svml_d_tan2_core-sse2.S
new file mode 100644
index 0000000000..a8f5a390cd
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_d_tan2_core-sse2.S
@@ -0,0 +1,20 @@
+/* SSE2 version of vectorized tan, vector length is 2.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#define _ZGVbN2v_tan _ZGVbN2v_tan_sse2
+#include "../svml_d_tan2_core.S"
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_tan2_core.c b/sysdeps/x86_64/fpu/multiarch/svml_d_tan2_core.c
new file mode 100644
index 0000000000..4c41025a23
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_d_tan2_core.c
@@ -0,0 +1,27 @@
+/* Multiple versions of vectorized tan, vector length is 2.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#define SYMBOL_NAME _ZGVbN2v_tan
+#include "ifunc-mathvec-sse4_1.h"
+
+libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ());
+
+#ifdef SHARED
+__hidden_ver1 (_ZGVbN2v_tan, __GI__ZGVbN2v_tan, __redirect__ZGVbN2v_tan)
+  __attribute__ ((visibility ("hidden")));
+#endif
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_tan2_core_sse4.S b/sysdeps/x86_64/fpu/multiarch/svml_d_tan2_core_sse4.S
new file mode 100644
index 0000000000..9aae621d9b
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_d_tan2_core_sse4.S
@@ -0,0 +1,21779 @@
+/* Function tan vectorized with SSE4.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   https://www.gnu.org/licenses/.  */
+
+/*
+ * ALGORITHM DESCRIPTION:
+ *
+ *      1) Range reduction to [-Pi/4; +Pi/4] interval
+ *       a) Grab sign from source argument and save it.
+ *       b) Remove sign using AND 0x7fffffffffffffff operation
+ *       c) Getting octant Y by 2/Pi multiplication
+ *       d) Add "Right Shifter" (0x4330000000000000) value
+ *       e) Treat obtained value as integer for destination sign setting.
+ *          Shift first bit of this value to the last (sign) position (S << 63)
+ *       f) Change destination sign if source sign is negative
+ *          using XOR operation.
+ *       g) Subtract "Right Shifter" (0x4330000000000000) value
+ *       h) Subtract Y*(PI/2) from X argument, where PI/2 divided to 4 parts:
+ *          X = X - Y*PI1 - Y*PI2 - Y*PI3 - Y*PI4;
+ *      2) Rational polynomial approximation ( at [-Pi/4; +Pi/4] interval)
+ *       a) Calculate X^2 = X * X
+ *       b) Calculate 2 polynomials:
+ *          P = X * (P0 + X^2 * (P1 + x^2 * (P2 + x^2 * (P3))));
+ *          Q = Q0 + X^2 * (Q1 + x^2 * (Q2 + x^2 * (Q3)));
+ *       c) Swap P and Q if first bit of obtained value after
+ *          Right Shifting is set to 1. Using And, Andnot & Or operations.
+ *       d) Divide R = P / Q;
+ *      3) Destination sign setting
+ *       a) Set shifted destination sign using XOR operation:
+ *          R = XOR( R, S );
+ *
+ */
+
+#include <sysdep.h>
+
+        .text
+	.section .text.sse4,"ax",@progbits
+ENTRY(_ZGVbN2v_tan_sse4)
+        pushq     %rbp
+        cfi_def_cfa_offset(16)
+        movq      %rsp, %rbp
+        cfi_def_cfa(6, 16)
+        cfi_offset(6, -16)
+        andq      $-64, %rsp
+        subq      $192, %rsp
+        movaps    %xmm0, %xmm1
+        movups    1024+__svml_dtan_data_internal(%rip), %xmm4
+
+/* Legacy Code */
+        xorl      %eax, %eax
+
+/* b) Remove sign using AND 0x7fffffffffffffff operation */
+        movaps    %xmm4, %xmm5
+
+/* a) Grab sign from source argument and save it. */
+        andnps    %xmm1, %xmm4
+
+/*
+ * c) Getting octant Y by 2/Pi multiplication
+ * d) Add "Right Shifter" (0x4330000000000000) value
+ */
+        movups    28288+__svml_dtan_data_internal(%rip), %xmm3
+        andps     %xmm1, %xmm5
+        mulpd     %xmm5, %xmm3
+        movups    1152+__svml_dtan_data_internal(%rip), %xmm6
+
+/*
+ * Range reduction
+ * X = X - Y*PI1 - Y*PI2 - Y*PI3 - Y*PI4;
+ */
+        movaps    %xmm5, %xmm2
+        addpd     %xmm6, %xmm3
+
+/* g) Subtract "Right Shifter" (0x4330000000000000) value */
+        movaps    %xmm3, %xmm0
+        subpd     %xmm6, %xmm0
+        movups    28352+__svml_dtan_data_internal(%rip), %xmm7
+        mulpd     %xmm0, %xmm7
+        movups    28416+__svml_dtan_data_internal(%rip), %xmm6
+        mulpd     %xmm0, %xmm6
+        subpd     %xmm7, %xmm2
+        movups    %xmm8, 176(%rsp)
+        .cfi_escape 0x10, 0x19, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xf0, 0xff, 0xff, 0xff, 0x22
+        movups    28480+__svml_dtan_data_internal(%rip), %xmm8
+        mulpd     %xmm0, %xmm8
+        subpd     %xmm6, %xmm2
+        subpd     %xmm8, %xmm2
+        movups    %xmm13, 80(%rsp)
+        .cfi_escape 0x10, 0x1e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x90, 0xff, 0xff, 0xff, 0x22
+
+/* a) Calculate X^2 = X * X */
+        movaps    %xmm2, %xmm13
+        mulpd     %xmm2, %xmm13
+        movups    %xmm11, 112(%rsp)
+        .cfi_escape 0x10, 0x1c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22
+
+/*
+ * b) Calculate 2 polynomials:
+ * P = X * (P0 + X^2 * (P1 + x^2 * (P2 + x^2 * (P3))));
+ * Q = Q0 + X^2 * (Q1 + x^2 * (Q2 + x^2 * (Q3)));
+ * Assume P0 = 1
+ */
+        movups    28928+__svml_dtan_data_internal(%rip), %xmm11
+        mulpd     %xmm13, %xmm11
+        movups    %xmm10, 144(%rsp)
+        .cfi_escape 0x10, 0x1b, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xd0, 0xff, 0xff, 0xff, 0x22
+        movups    29184+__svml_dtan_data_internal(%rip), %xmm10
+        addpd     28864+__svml_dtan_data_internal(%rip), %xmm11
+        mulpd     %xmm13, %xmm10
+        mulpd     %xmm13, %xmm11
+        addpd     29120+__svml_dtan_data_internal(%rip), %xmm10
+        addpd     28800+__svml_dtan_data_internal(%rip), %xmm11
+        mulpd     %xmm13, %xmm10
+        mulpd     %xmm13, %xmm11
+        addpd     29056+__svml_dtan_data_internal(%rip), %xmm10
+        mulpd     %xmm2, %xmm11
+        mulpd     %xmm10, %xmm13
+        addpd     %xmm11, %xmm2
+        addpd     28992+__svml_dtan_data_internal(%rip), %xmm13
+        movups    %xmm9, 160(%rsp)
+        movups    %xmm14, 48(%rsp)
+        .cfi_escape 0x10, 0x1a, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x1f, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x70, 0xff, 0xff, 0xff, 0x22
+
+/* 1) Range reduction to [-Pi/4; +Pi/4] interval */
+        pxor      %xmm9, %xmm9
+
+/*
+ * e) Treat obtained value as integer for destination sign setting.
+ * Shift first bit of this value to the last (sign) position (S << 63)
+ * f) Change destination sign if source sign is negative
+ * using XOR operation.
+ */
+        movaps    %xmm3, %xmm14
+        psllq     $62, %xmm3
+        cmpneqpd  %xmm9, %xmm3
+        movups    %xmm12, 96(%rsp)
+
+/*
+ * c) Swap P and Q if first bit of obtained value after
+ * Right Shifting is set to 1. Using And, Andnot & Or operations.
+ */
+        movaps    %xmm3, %xmm0
+        .cfi_escape 0x10, 0x1d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22
+        movaps    %xmm3, %xmm12
+        andnps    %xmm2, %xmm0
+        andps     %xmm13, %xmm12
+        andps     %xmm3, %xmm2
+        andnps    %xmm13, %xmm3
+        orps      %xmm12, %xmm0
+        orps      %xmm3, %xmm2
+        psllq     $63, %xmm14
+
+/* d) Divide R = P / Q; */
+        divpd     %xmm2, %xmm0
+        pxor      %xmm4, %xmm14
+
+/* Large values check */
+        movaps    %xmm5, %xmm4
+        cmpnlepd  28160+__svml_dtan_data_internal(%rip), %xmm4
+        movmskpd  %xmm4, %edx
+
+/*
+ * 3) Destination sign setting
+ * a) Set shifted destination sign using XOR operation:
+ * R = XOR( R, S );
+ */
+        pxor      %xmm14, %xmm0
+        movups    %xmm15, 32(%rsp)
+        testl     %edx, %edx
+        jne       L(7)
+        .cfi_escape 0x10, 0x20, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x60, 0xff, 0xff, 0xff, 0x22
+
+L(1):
+        testl     %eax, %eax
+        jne       L(3)
+
+L(2):
+        movups    176(%rsp), %xmm8
+        cfi_restore(25)
+        movups    160(%rsp), %xmm9
+        cfi_restore(26)
+        movups    144(%rsp), %xmm10
+        cfi_restore(27)
+        movups    112(%rsp), %xmm11
+        cfi_restore(28)
+        movups    96(%rsp), %xmm12
+        cfi_restore(29)
+        movups    80(%rsp), %xmm13
+        cfi_restore(30)
+        movups    48(%rsp), %xmm14
+        cfi_restore(31)
+        movups    32(%rsp), %xmm15
+        cfi_restore(32)
+        movq      %rbp, %rsp
+        popq      %rbp
+        cfi_def_cfa(7, 8)
+        cfi_restore(6)
+        ret
+        cfi_def_cfa(6, 16)
+        cfi_offset(6, -16)
+        .cfi_escape 0x10, 0x19, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xf0, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x1a, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xe0, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x1b, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xd0, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x1c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x1d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x1e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x90, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x1f, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x70, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x20, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x60, 0xff, 0xff, 0xff, 0x22
+
+L(3):
+        movups    %xmm1, 64(%rsp)
+        movups    %xmm0, 128(%rsp)
+        je        L(2)
+        xorl      %edx, %edx
+        movq      %rsi, 8(%rsp)
+        movq      %rdi, (%rsp)
+        movq      %r12, 24(%rsp)
+        .cfi_escape 0x10, 0x04, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x05, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x58, 0xff, 0xff, 0xff, 0x22
+        movl      %edx, %r12d
+        movq      %r13, 16(%rsp)
+        .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22
+        movl      %eax, %r13d
+
+L(4):
+        btl       %r12d, %r13d
+        jc        L(6)
+
+L(5):
+        incl      %r12d
+        cmpl      $2, %r12d
+        jl        L(4)
+        movq      8(%rsp), %rsi
+        cfi_restore(4)
+        movq      (%rsp), %rdi
+        cfi_restore(5)
+        movq      24(%rsp), %r12
+        cfi_restore(12)
+        movq      16(%rsp), %r13
+        cfi_restore(13)
+        movups    128(%rsp), %xmm0
+        jmp       L(2)
+        .cfi_escape 0x10, 0x04, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x05, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x58, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22
+
+L(6):
+        lea       64(%rsp,%r12,8), %rdi
+        lea       128(%rsp,%r12,8), %rsi
+        call      __svml_dtan_cout_rare_internal
+        jmp       L(5)
+        cfi_restore(4)
+        cfi_restore(5)
+        cfi_restore(12)
+        cfi_restore(13)
+
+L(7):
+        movdqu    .FLT_20(%rip), %xmm3
+
+/*
+ * Get the (2^a / 2pi) mod 1 values from the table.
+ * Because VLANG doesn't have L-type gather, we need a trivial cast
+ */
+        lea       __svml_dtan_reduction_data_internal(%rip), %r10
+        pand      %xmm1, %xmm3
+        psrlq     $52, %xmm3
+
+/*
+ * Also get the significand as an integer
+ * NB: adding in the integer bit is wrong for denorms!
+ * To make this work for denorms we should do something slightly different
+ */
+        movdqu    .FLT_21(%rip), %xmm2
+        movd      %xmm3, %edx
+        pand      %xmm1, %xmm2
+        paddq     .FLT_22(%rip), %xmm2
+        pextrw    $4, %xmm3, %r8d
+        movups    1088+__svml_dtan_data_internal(%rip), %xmm10
+        lea       (%rdx,%rdx,2), %ecx
+        shll      $3, %ecx
+        lea       (%r8,%r8,2), %r9d
+        shll      $3, %r9d
+        movdqa    %xmm2, %xmm6
+        movq      16(%rcx,%r10), %xmm8
+        andps     %xmm10, %xmm5
+        movhpd    16(%r9,%r10), %xmm8
+        psrlq     $32, %xmm6
+        movups    %xmm0, 16(%rsp)
+        movaps    %xmm8, %xmm0
+
+/*
+ * Break the P_xxx and m into 32-bit chunks ready for
+ * the long multiplication via 32x32->64 multiplications
+ */
+        movdqu    .FLT_23(%rip), %xmm15
+        psrlq     $32, %xmm0
+        movq      8(%rcx,%r10), %xmm13
+        pand      %xmm15, %xmm2
+        cmpeqpd   %xmm10, %xmm5
+        movdqa    %xmm6, %xmm10
+        movdqa    %xmm2, %xmm11
+        movhpd    8(%r9,%r10), %xmm13
+        pand      %xmm15, %xmm8
+        pmuludq   %xmm0, %xmm10
+        movaps    %xmm13, %xmm14
+        pmuludq   %xmm2, %xmm0
+        pmuludq   %xmm6, %xmm8
+        movmskpd  %xmm5, %eax
+        pand      %xmm15, %xmm13
+        psrlq     $32, %xmm0
+        pmuludq   %xmm13, %xmm11
+        psrlq     $32, %xmm14
+        pmuludq   %xmm6, %xmm13
+        paddq     %xmm0, %xmm10
+        movdqa    %xmm2, %xmm12
+        movdqa    %xmm15, %xmm3
+        pmuludq   %xmm14, %xmm12
+        pand      %xmm11, %xmm3
+        pmuludq   %xmm6, %xmm14
+        paddq     %xmm10, %xmm3
+        movq      (%rcx,%r10), %xmm7
+        movdqa    %xmm15, %xmm9
+        movhpd    (%r9,%r10), %xmm7
+        psrlq     $32, %xmm8
+        psrlq     $32, %xmm11
+        pand      %xmm7, %xmm9
+        movdqa    %xmm2, %xmm5
+        movdqa    %xmm15, %xmm10
+        paddq     %xmm3, %xmm8
+        paddq     %xmm11, %xmm13
+        pmuludq   %xmm9, %xmm5
+
+/* Now do the big multiplication and carry propagation */
+        pmuludq   %xmm9, %xmm6
+        pand      %xmm12, %xmm10
+        movaps    %xmm8, %xmm0
+        paddq     %xmm13, %xmm10
+        psrlq     $32, %xmm0
+        psrlq     $32, %xmm12
+        psrlq     $32, %xmm7
+        movdqa    %xmm15, %xmm11
+        paddq     %xmm10, %xmm0
+        paddq     %xmm12, %xmm14
+        pmuludq   %xmm7, %xmm2
+        pand      %xmm5, %xmm11
+        movdqa    %xmm0, %xmm13
+        paddq     %xmm14, %xmm11
+        psrlq     $32, %xmm13
+        psrlq     $32, %xmm5
+        paddq     %xmm11, %xmm13
+        paddq     %xmm5, %xmm6
+        pand      %xmm15, %xmm2
+        movdqa    %xmm13, %xmm3
+        paddq     %xmm6, %xmm2
+        psrlq     $32, %xmm3
+        pand      %xmm15, %xmm13
+        paddq     %xmm2, %xmm3
+        psllq     $32, %xmm3
+
+/* Assemble reduced argument from the pieces */
+        pand      %xmm15, %xmm8
+        paddq     %xmm13, %xmm3
+
+/*
+ * We want to incorporate the original sign now too.
+ * Do it here for convenience in getting the right N value,
+ * though we could wait right to the end if we were prepared
+ * to modify the sign of N later too.
+ * So get the appropriate sign mask now (or sooner).
+ */
+        movdqu    .FLT_24(%rip), %xmm9
+        movdqa    %xmm3, %xmm5
+
+/*
+ * Create floating-point high part, implicitly adding integer bit 1
+ * Incorporate overall sign at this stage too.
+ */
+        movdqu    .FLT_25(%rip), %xmm15
+        pand      %xmm1, %xmm9
+
+/*
+ * Now round at the 2^-9 bit position for reduction mod pi/2^8
+ * instead of the original 2pi (but still with the same 2pi scaling).
+ * Use a shifter of 2^43 + 2^42.
+ * The N we get is our final version; it has an offset of
+ * 2^9 because of the implicit integer bit, and anyway for negative
+ * starting value it's a 2s complement thing. But we need to mask
+ * off the exponent part anyway so it's fine.
+ */
+        movups    .FLT_26(%rip), %xmm12
+        psrlq     $12, %xmm5
+        pxor      %xmm9, %xmm15
+        movaps    %xmm12, %xmm10
+        por       %xmm15, %xmm5
+        psllq     $32, %xmm0
+        addpd     %xmm5, %xmm10
+        paddq     %xmm8, %xmm0
+        movaps    %xmm10, %xmm14
+
+/*  Load constants (not all needed at once)  */
+        lea       1632+__svml_dtan_data_internal(%rip), %r9
+        movdqu    .FLT_30(%rip), %xmm6
+        movdqu    .FLT_28(%rip), %xmm7
+        pand      %xmm3, %xmm6
+
+/*
+ * Create floating-point low and medium parts, respectively
+ * lo_23, ... lo_0, 0, ..., 0
+ * hi_11, ... hi_0, lo_63, ..., lo_24
+ * then subtract off the implicitly added integer bits,
+ * 2^-104 and 2^-52, respectively.
+ * Put the original sign into all of them at this stage.
+ */
+        movdqu    .FLT_27(%rip), %xmm8
+        pand      %xmm0, %xmm7
+        subpd     %xmm12, %xmm14
+        psllq     $40, %xmm6
+        psrlq     $24, %xmm0
+        pxor      %xmm9, %xmm8
+        por       %xmm0, %xmm6
+        pxor      .FLT_29(%rip), %xmm9
+        psllq     $28, %xmm7
+        subpd     %xmm14, %xmm5
+        por       %xmm9, %xmm6
+
+/* Now add them up into 2 reasonably aligned pieces */
+        movaps    %xmm5, %xmm11
+        subpd     %xmm9, %xmm6
+        addpd     %xmm6, %xmm11
+        subpd     %xmm11, %xmm5
+        por       %xmm8, %xmm7
+        subpd     %xmm8, %xmm7
+        addpd     %xmm5, %xmm6
+
+/* Split RHi into 26-bit leading part and 27-bit trailing part */
+        movups    .FLT_34(%rip), %xmm2
+        movaps    %xmm2, %xmm15
+        andps     %xmm11, %xmm15
+        addpd     %xmm6, %xmm7
+        subpd     %xmm15, %xmm11
+        mulpd     .FLT_31(%rip), %xmm7
+
+/*
+ * Now multiply those numbers all by 2 pi, reasonably accurately.
+ * The top part uses 2pi = d2pi_lead + d2pi_trail, where
+ * d2pi_lead has 27 significant bits.
+ */
+        movups    .FLT_32(%rip), %xmm0
+        movups    .FLT_33(%rip), %xmm3
+
+/*
+ * Do the multiplication as exact top part and "naive" low part.
+ * This still maintains almost 30 bits of offset and doesn't drop
+ * the accuracy much below what we already have.
+ */
+        movaps    %xmm0, %xmm12
+        mulpd     %xmm15, %xmm12
+        mulpd     %xmm11, %xmm0
+        mulpd     %xmm3, %xmm15
+        mulpd     %xmm11, %xmm3
+        addpd     %xmm15, %xmm0
+        addpd     %xmm3, %xmm7
+        addpd     %xmm7, %xmm0
+
+/*
+ * Do another stage of compensated summation to get full offset
+ * between the pieces dRedHi + dRedLo.
+ * Depending on the later algorithm, we might avoid this stage.
+ */
+        movaps    %xmm0, %xmm13
+        addpd     %xmm12, %xmm13
+        subpd     %xmm13, %xmm12
+
+/*
+ * If the magnitude of the input is <= 2^-20, then
+ * just pass through the input, since no reduction will be needed and
+ * the main path will only work accurately if the reduced argument is
+ * about >= 2^-70 (which it is for all large pi multiples)
+ */
+        movups    .FLT_36(%rip), %xmm7
+        movups    .FLT_35(%rip), %xmm3
+        movaps    %xmm7, %xmm14
+        andps     %xmm1, %xmm3
+        cmpltpd   %xmm3, %xmm14
+        cmplepd   %xmm7, %xmm3
+        addpd     %xmm12, %xmm0
+
+/* Grab our final N value as an integer, appropriately masked mod 2^9 */
+        pand      .FLT_37(%rip), %xmm10
+        andps     %xmm1, %xmm3
+
+/*
+ * Argument reduction is now finished: x = n * pi/256 + r
+ * where n = lIndex and r = dZ
+ * But we have n modulo 512, needed for sin/cos with period 2pi
+ * but we want it modulo 256 since tan has period pi.
+ */
+        pand      .FLT_38(%rip), %xmm10
+        andps     %xmm14, %xmm13
+        movd      %xmm10, %r11d
+        orps      %xmm13, %xmm3
+        andps     %xmm0, %xmm14
+        movups    %xmm1, (%rsp)
+        pextrw    $4, %xmm10, %ecx
+        imull     $104, %r11d, %edx
+
+/*
+ * The output is _VRES_Z (high) + _VRES_E (low), and the integer part is _VRES_IND
+ * Simply absorb E into Z instead of keeping a 2-part result.
+ */
+        addpd     %xmm14, %xmm3
+        imull     $104, %ecx, %r8d
+        movq      -96(%rdx,%r9), %xmm1
+        movhpd    -96(%r8,%r9), %xmm1
+
+/*
+ *  Compute reciprocal component
+ * Construct a separate reduced argument modulo pi near pi/2 multiples.
+ * i.e. (pi/2 - x) mod pi, simply by subtracting the reduced argument
+ * from an accurate B_hi = (128 - n) pi/256.
+ */
+        subpd     %xmm3, %xmm1
+
+/* Now compute an approximate reciprocal to mix into the computation. */
+        cvtpd2ps  %xmm1, %xmm5
+        movlhps   %xmm5, %xmm5
+
+/*
+ * Now compute the error dEr where dRecip_hi = (1/R_full) * (1 - dEr)
+ * so that we can compensate for it.
+ */
+        andps     %xmm1, %xmm2
+        rcpps     %xmm5, %xmm6
+        subpd     %xmm2, %xmm1
+        cvtps2pd  %xmm6, %xmm6
+        mulpd     %xmm6, %xmm2
+        mulpd     %xmm6, %xmm1
+        movups    .FLT_39(%rip), %xmm5
+        subpd     %xmm2, %xmm5
+        subpd     %xmm1, %xmm5
+
+/*
+ * Get a working-precision reciprocal 1/dR_full
+ * using a fourth-order polynomial approximation
+ * R + (E*R) * (1 + E) * (1 + E^2)
+ */
+        movaps    %xmm5, %xmm1
+
+/*
+ *  Higher polynomial terms
+ * Stage 1 (with unlimited parallelism)
+ * Z2 = Z^2
+ */
+        movaps    %xmm3, %xmm2
+        mulpd     %xmm5, %xmm1
+        mulpd     %xmm3, %xmm2
+        addpd     %xmm1, %xmm5
+        mulpd     %xmm6, %xmm1
+        addpd     %xmm6, %xmm1
+        movq      -24(%rdx,%r9), %xmm13
+        movq      -8(%rdx,%r9), %xmm12
+        movhpd    -24(%r8,%r9), %xmm13
+        movhpd    -8(%r8,%r9), %xmm12
+
+/* P5 = C3 + C4 * Z */
+        mulpd     %xmm3, %xmm13
+
+/* P6 = C5 + C6 * Z */
+        mulpd     %xmm3, %xmm12
+        mulpd     %xmm1, %xmm5
+        movq      (%rdx,%r9), %xmm15
+        movhpd    (%r8,%r9), %xmm15
+
+/* P9 = C5 + C6 * Z + C7 * Z^2 */
+        mulpd     %xmm2, %xmm15
+        addpd     %xmm5, %xmm6
+        movq      -40(%rdx,%r9), %xmm14
+
+/*
+ * Stage 2 (with unlimited parallelism)
+ * Z4 = Z^4
+ */
+        movaps    %xmm2, %xmm5
+        movq      -32(%rdx,%r9), %xmm10
+        movq      -16(%rdx,%r9), %xmm11
+        movhpd    -40(%r8,%r9), %xmm14
+        movhpd    -32(%r8,%r9), %xmm10
+        movhpd    -16(%r8,%r9), %xmm11
+
+/* P4 = C1_lo + C2 * Z */
+        mulpd     %xmm3, %xmm14
+        addpd     %xmm13, %xmm10
+        addpd     %xmm12, %xmm11
+        mulpd     %xmm2, %xmm5
+
+/* P10 = C1_lo + C2 * Z + C3 * Z^2 + C4 * Z^3 */
+        mulpd     %xmm10, %xmm2
+        addpd     %xmm15, %xmm11
+        movq      -48(%rdx,%r9), %xmm0
+        movhpd    -48(%r8,%r9), %xmm0
+        addpd     %xmm14, %xmm0
+
+/*
+ * Stage 3 (with unlimited parallelism)
+ * P12 = C1_lo + C2 * Z + ... + C7 * Z^6
+ */
+        mulpd     %xmm11, %xmm5
+        addpd     %xmm2, %xmm0
+        movq      -56(%rdx,%r9), %xmm8
+        movhpd    -56(%r8,%r9), %xmm8
+
+/*
+ *  Sum of dominant component(s)
+ * Compute C0_hi + C1_hi * Z + Recip_hi = H4
+ * H2 = C0_hi + C1_hi * Z (exact since C1_hi is 1 bit)
+ */
+        mulpd     %xmm3, %xmm8
+        addpd     %xmm5, %xmm0
+        movq      -80(%rdx,%r9), %xmm9
+        movhpd    -80(%r8,%r9), %xmm9
+
+/*
+ * dRecip_hi is only used when dTau is one (cotangent path)
+ * H4 = C0_hi + C1_hi * Z + Recip_hi
+ */
+        mulpd     %xmm6, %xmm9
+
+/* And now the very final summation */
+        mulpd     %xmm0, %xmm3
+        movq      -72(%rdx,%r9), %xmm7
+
+/*
+ *
+ * End of large arguments path
+ *
+ * Merge results from main and large paths:
+ */
+        movaps    %xmm4, %xmm0
+        movhpd    -72(%r8,%r9), %xmm7
+        addpd     %xmm8, %xmm7
+        addpd     %xmm9, %xmm7
+        addpd     %xmm3, %xmm7
+        andnps    16(%rsp), %xmm0
+        andps     %xmm4, %xmm7
+        movups    (%rsp), %xmm1
+        orps      %xmm7, %xmm0
+        jmp       L(1)
+
+END(_ZGVbN2v_tan_sse4)
+
+        .align    16,0x90
+
+__svml_dtan_cout_rare_internal:
+
+        cfi_startproc
+
+        xorl      %eax, %eax
+        movzwl    6(%rdi), %ecx
+        movsd     (%rdi), %xmm1
+        andl      $32752, %ecx
+        movb      7(%rdi), %dl
+        andb      $127, %dl
+        movsd     %xmm1, -8(%rsp)
+        movb      %dl, -1(%rsp)
+        cmpl      $32752, %ecx
+        je        L(8)
+        ret
+
+L(8):
+        cmpl      $0, -8(%rsp)
+        jne       L(9)
+        cmpl      $2146435072, -4(%rsp)
+        jne       L(9)
+        movsd     __dtan_la_Tab(%rip), %xmm0
+        movl      $1, %eax
+        mulsd     %xmm0, %xmm1
+        movsd     %xmm1, (%rsi)
+        ret
+
+L(9):
+        mulsd     %xmm1, %xmm1
+        movsd     %xmm1, (%rsi)
+        ret
+
+        cfi_endproc
+
+        .type	__svml_dtan_cout_rare_internal,@function
+        .size	__svml_dtan_cout_rare_internal,.-__svml_dtan_cout_rare_internal
+
+        .section .rodata, "a"
+        .align 64
+
+__svml_dtan_data_internal:
+        .long	1841940611
+        .long	1075076912
+        .long	1841940611
+        .long	1075076912
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .long	1413754136
+        .long	1070146043
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+        .long	2038409397
+        .long	4095535070
+        .long	2945959404
+        .long	2951577284
+        .long	692734889
+        .long	2839402047
+        .long	4076818795
+        .long	3896102844
+        .long	1596951513
+        .long	1608187272
+        .long	1385469779
+        .long	1383836798
+        .long	3858670295
+        .long	3497238392
+        .long	3193903027
+        .long	3216374545
+        .long	2770939558
+        .long	2767673597
+        .long	3422373294
+        .long	2699509489
+        .long	2092838759
+        .long	2137781795
+        .long	1246911821
+        .long	1240379898
+        .long	2549779293
+        .long	1104051682
+        .long	4185677519
+        .long	4275563591
+        .long	2493823642
+        .long	2480759797
+        .long	804591290
+        .long	2208103365
+        .long	4076387742
+        .long	4256159887
+        .long	692679989
+        .long	666552299
+        .long	1609182581
+        .long	121239434
+        .long	3857808189
+        .long	4217352479
+        .long	1385359979
+        .long	1333104599
+        .long	3218365162
+        .long	242478868
+        .long	3420649082
+        .long	4139737663
+        .long	2770719959
+        .long	2666209199
+        .long	2141763028
+        .long	484957737
+        .long	2546330868
+        .long	3984508030
+        .long	1246472623
+        .long	1037451103
+        .long	4283526057
+        .long	969915474
+        .long	797694440
+        .long	3674048764
+        .long	2492945247
+        .long	2074902206
+        .long	4272084818
+        .long	1939830949
+        .long	1595388880
+        .long	3053130232
+        .long	690923199
+        .long	4149804412
+        .long	4249202340
+        .long	3879661898
+        .long	3190777760
+        .long	1811293169
+        .long	1381846399
+        .long	4004641529
+        .long	4203437385
+        .long	3464356500
+        .long	2086588225
+        .long	3622586339
+        .long	2763692798
+        .long	3714315762
+        .long	4111907475
+        .long	2633745705
+        .long	4173176451
+        .long	2950205382
+        .long	1232418301
+        .long	3133664229
+        .long	3928847655
+        .long	972524114
+        .long	4051385607
+        .long	1605443469
+        .long	2464836603
+        .long	1972361163
+        .long	3562728015
+        .long	1945048229
+        .long	3807803918
+        .long	3210886938
+        .long	634705910
+        .long	3944722327
+        .long	2830488734
+        .long	3890096458
+        .long	3320640540
+        .long	2126806581
+        .long	1269411821
+        .long	3594477359
+        .long	1366010173
+        .long	3485225620
+        .long	2346313785
+        .long	4253613162
+        .long	2538823642
+        .long	2893987423
+        .long	2732020347
+        .long	2675483945
+        .long	397660275
+        .long	4212259029
+        .long	782679989
+        .long	1493007550
+        .long	1169073399
+        .long	1056000594
+        .long	795320551
+        .long	4129550763
+        .long	1565359979
+        .long	2986015100
+        .long	2338146798
+        .long	2112001188
+        .long	1590641102
+        .long	3964134231
+        .long	3130719959
+        .long	1677062904
+        .long	381326301
+        .long	4224002377
+        .long	3181282204
+        .long	3633301166
+        .long	1966472623
+        .long	3354125809
+        .long	762652602
+        .long	4153037458
+        .long	2067597113
+        .long	2971635037
+        .long	3932945247
+        .long	2413284322
+        .long	1525305205
+        .long	4011107621
+        .long	4135194227
+        .long	1648302778
+        .long	3570923199
+        .long	531601349
+        .long	3050610411
+        .long	3727247947
+        .long	3975421159
+        .long	3296605556
+        .long	2846879102
+        .long	1063202699
+        .long	1806253526
+        .long	3159528599
+        .long	3655875023
+        .long	2298243816
+        .long	1398790909
+        .long	2126405399
+        .long	3612507052
+        .long	2024089902
+        .long	3016782751
+        .long	301520336
+        .long	2797581819
+        .long	4252810799
+        .long	2930046808
+        .long	4048179805
+        .long	1738598206
+        .long	603040673
+        .long	1300196342
+        .long	4210654302
+        .long	1565126321
+        .long	3801392314
+        .long	3477196413
+        .long	1206081346
+        .long	2600392684
+        .long	4126341309
+        .long	3130252643
+        .long	3307817333
+        .long	2659425531
+        .long	2412162692
+        .long	905818072
+        .long	3957715323
+        .long	1965537991
+        .long	2320667370
+        .long	1023883767
+        .long	529358088
+        .long	1811636145
+        .long	3620463350
+        .long	3931075983
+        .long	346367444
+        .long	2047767535
+        .long	1058716176
+        .long	3623272290
+        .long	2945959404
+        .long	3567184671
+        .long	692734889
+        .long	4095535070
+        .long	2117432353
+        .long	2951577284
+        .long	1596951513
+        .long	2839402047
+        .long	1385469779
+        .long	3896102844
+        .long	4234864706
+        .long	1608187272
+        .long	3193903027
+        .long	1383836798
+        .long	2770939558
+        .long	3497238392
+        .long	4174762117
+        .long	3216374545
+        .long	2092838759
+        .long	2767673597
+        .long	1246911821
+        .long	2699509489
+        .long	4054556938
+        .long	2137781795
+        .long	4185677519
+        .long	1240379898
+        .long	2493823642
+        .long	1104051682
+        .long	3814146581
+        .long	4275563591
+        .long	4076387742
+        .long	2480759797
+        .long	692679989
+        .long	2208103365
+        .long	3333325867
+        .long	4256159887
+        .long	3857808189
+        .long	666552299
+        .long	1385359979
+        .long	121239434
+        .long	2371684438
+        .long	4217352479
+        .long	3420649082
+        .long	1333104599
+        .long	2770719959
+        .long	242478868
+        .long	448401580
+        .long	4139737663
+        .long	2546330868
+        .long	2666209199
+        .long	1246472623
+        .long	484957737
+        .long	896803160
+        .long	3984508030
+        .type	__svml_dtan_reduction_data_internal,@object
+        .size	__svml_dtan_reduction_data_internal,49152
+        .space 512, 0x00 	
+        .align 16
+
+.FLT_20:
+        .long	0x00000000,0x7ff00000,0x00000000,0x7ff00000
+        .type	.FLT_20,@object
+        .size	.FLT_20,16
+        .align 16
+
+.FLT_21:
+        .long	0xffffffff,0x000fffff,0xffffffff,0x000fffff
+        .type	.FLT_21,@object
+        .size	.FLT_21,16
+        .align 16
+
+.FLT_22:
+        .long	0x00000000,0x00100000,0x00000000,0x00100000
+        .type	.FLT_22,@object
+        .size	.FLT_22,16
+        .align 16
+
+.FLT_23:
+        .long	0xffffffff,0x00000000,0xffffffff,0x00000000
+        .type	.FLT_23,@object
+        .size	.FLT_23,16
+        .align 16
+
+.FLT_24:
+        .long	0x00000000,0x80000000,0x00000000,0x80000000
+        .type	.FLT_24,@object
+        .size	.FLT_24,16
+        .align 16
+
+.FLT_25:
+        .long	0x00000000,0x3ff00000,0x00000000,0x3ff00000
+        .type	.FLT_25,@object
+        .size	.FLT_25,16
+        .align 16
+
+.FLT_26:
+        .long	0x00000000,0x42a80000,0x00000000,0x42a80000
+        .type	.FLT_26,@object
+        .size	.FLT_26,16
+        .align 16
+
+.FLT_27:
+        .long	0x00000000,0x39700000,0x00000000,0x39700000
+        .type	.FLT_27,@object
+        .size	.FLT_27,16
+        .align 16
+
+.FLT_28:
+        .long	0x00ffffff,0x00000000,0x00ffffff,0x00000000
+        .type	.FLT_28,@object
+        .size	.FLT_28,16
+        .align 16
+
+.FLT_29:
+        .long	0x00000000,0x3cb00000,0x00000000,0x3cb00000
+        .type	.FLT_29,@object
+        .size	.FLT_29,16
+        .align 16
+
+.FLT_30:
+        .long	0x00000fff,0x00000000,0x00000fff,0x00000000
+        .type	.FLT_30,@object
+        .size	.FLT_30,16
+        .align 16
+
+.FLT_31:
+        .long	0x54442d18,0x401921fb,0x54442d18,0x401921fb
+        .type	.FLT_31,@object
+        .size	.FLT_31,16
+        .align 16
+
+.FLT_32:
+        .long	0x54000000,0x401921fb,0x54000000,0x401921fb
+        .type	.FLT_32,@object
+        .size	.FLT_32,16
+        .align 16
+
+.FLT_33:
+        .long	0x11a62633,0x3e310b46,0x11a62633,0x3e310b46
+        .type	.FLT_33,@object
+        .size	.FLT_33,16
+        .align 16
+
+.FLT_34:
+        .long	0xf8000000,0xffffffff,0xf8000000,0xffffffff
+        .type	.FLT_34,@object
+        .size	.FLT_34,16
+        .align 16
+
+.FLT_35:
+        .long	0xffffffff,0x7fffffff,0xffffffff,0x7fffffff
+        .type	.FLT_35,@object
+        .size	.FLT_35,16
+        .align 16
+
+.FLT_36:
+        .long	0x00000000,0x3eb00000,0x00000000,0x3eb00000
+        .type	.FLT_36,@object
+        .size	.FLT_36,16
+        .align 16
+
+.FLT_37:
+        .long	0x000001ff,0x00000000,0x000001ff,0x00000000
+        .type	.FLT_37,@object
+        .size	.FLT_37,16
+        .align 16
+
+.FLT_38:
+        .long	0x000000ff,0x00000000,0x000000ff,0x00000000
+        .type	.FLT_38,@object
+        .size	.FLT_38,16
+        .align 16
+
+.FLT_39:
+        .long	0x00000000,0x3ff00000,0x00000000,0x3ff00000
+        .type	.FLT_39,@object
+        .size	.FLT_39,16
+        .align 8
+
+__dtan_la_Tab:
+        .long	0
+        .long	0
+        .long	0
+        .long	2146435072
+        .type	__dtan_la_Tab,@object
+        .size	__dtan_la_Tab,16
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_tan4_core-sse.S b/sysdeps/x86_64/fpu/multiarch/svml_d_tan4_core-sse.S
new file mode 100644
index 0000000000..f0c3a3e5a3
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_d_tan4_core-sse.S
@@ -0,0 +1,20 @@
+/* SSE version of vectorized tan, vector length is 4.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#define _ZGVdN4v_tan _ZGVdN4v_tan_sse_wrapper
+#include "../svml_d_tan4_core.S"
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_tan4_core.c b/sysdeps/x86_64/fpu/multiarch/svml_d_tan4_core.c
new file mode 100644
index 0000000000..7fc0f8e77e
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_d_tan4_core.c
@@ -0,0 +1,27 @@
+/* Multiple versions of vectorized tan, vector length is 4.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#define SYMBOL_NAME _ZGVdN4v_tan
+#include "ifunc-mathvec-avx2.h"
+
+libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ());
+
+#ifdef SHARED
+__hidden_ver1 (_ZGVdN4v_tan, __GI__ZGVdN4v_tan, __redirect__ZGVdN4v_tan)
+  __attribute__ ((visibility ("hidden")));
+#endif
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_tan4_core_avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_d_tan4_core_avx2.S
new file mode 100644
index 0000000000..a1f6a9207d
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_d_tan4_core_avx2.S
@@ -0,0 +1,21276 @@
+/* Function tan vectorized with AVX2.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   https://www.gnu.org/licenses/.  */
+
+/*
+ * ALGORITHM DESCRIPTION:
+ *
+ *      1) Range reduction to [-Pi/4; +Pi/4] interval
+ *       a) Grab sign from source argument and save it.
+ *       b) Remove sign using AND 0x7fffffffffffffff operation
+ *       c) Getting octant Y by 2/Pi multiplication
+ *       d) Add "Right Shifter" (0x4330000000000000) value
+ *       e) Treat obtained value as integer for destination sign setting.
+ *          Shift first bit of this value to the last (sign) position (S << 63)
+ *       f) Change destination sign if source sign is negative
+ *          using XOR operation.
+ *       g) Subtract "Right Shifter" (0x4330000000000000) value
+ *       h) Subtract Y*(PI/2) from X argument, where PI/2 divided to 4 parts:
+ *          X = X - Y*PI1 - Y*PI2 - Y*PI3 - Y*PI4;
+ *      2) Rational polynomial approximation ( at [-Pi/4; +Pi/4] interval)
+ *       a) Calculate X^2 = X * X
+ *       b) Calculate 2 polynomials:
+ *          P = X * (P0 + X^2 * (P1 + x^2 * (P2 + x^2 * (P3))));
+ *          Q = Q0 + X^2 * (Q1 + x^2 * (Q2 + x^2 * (Q3)));
+ *       c) Swap P and Q if first bit of obtained value after
+ *          Right Shifting is set to 1. Using And, Andnot & Or operations.
+ *       d) Divide R = P / Q;
+ *      3) Destination sign setting
+ *       a) Set shifted destination sign using XOR operation:
+ *          R = XOR( R, S );
+ *
+ */
+
+#include <sysdep.h>
+
+        .text
+	.section .text.avx2,"ax",@progbits
+ENTRY(_ZGVdN4v_tan_avx2)
+        pushq     %rbp
+        cfi_def_cfa_offset(16)
+        movq      %rsp, %rbp
+        cfi_def_cfa(6, 16)
+        cfi_offset(6, -16)
+        andq      $-64, %rsp
+        subq      $384, %rsp
+
+/* Legacy Code */
+        xorl      %eax, %eax
+        vmovupd   1024+__svml_dtan_data_internal(%rip), %ymm2
+        vmovupd   1152+__svml_dtan_data_internal(%rip), %ymm3
+
+/*
+ * c) Getting octant Y by 2/Pi multiplication
+ * d) Add "Right Shifter" (0x4330000000000000) value
+ */
+        vmovupd   28288+__svml_dtan_data_internal(%rip), %ymm7
+        vmovups   %ymm15, 320(%rsp)
+
+/* X = X - Y*PI1 - Y*PI2 - Y*PI3 - Y*PI4; */
+        vmovupd   28544+__svml_dtan_data_internal(%rip), %ymm4
+        vmovups   %ymm10, 160(%rsp)
+        .cfi_escape 0x10, 0xdd, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x20, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xe2, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x22
+        vmovupd   29184+__svml_dtan_data_internal(%rip), %ymm10
+        vmovups   %ymm9, 96(%rsp)
+        vmovups   %ymm14, 288(%rsp)
+        vmovups   %ymm8, 32(%rsp)
+        vmovups   %ymm12, 224(%rsp)
+        vmovups   %ymm11, 192(%rsp)
+        vmovups   %ymm13, 256(%rsp)
+        .cfi_escape 0x10, 0xdb, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xfe, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xdc, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xe0, 0xfe, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xde, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xdf, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x60, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xe0, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xe1, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22
+        vmovapd   %ymm0, %ymm15
+
+/* b) Remove sign using AND 0x7fffffffffffffff operation */
+        vandpd    %ymm2, %ymm15, %ymm1
+        vfmadd213pd %ymm3, %ymm1, %ymm7
+
+/* a) Grab sign from source argument and save it. */
+        vandnpd   %ymm15, %ymm2, %ymm6
+
+/* g) Subtract "Right Shifter" (0x4330000000000000) value */
+        vsubpd    %ymm3, %ymm7, %ymm2
+
+/*
+ * e) Treat obtained value as integer for destination sign setting.
+ * Shift first bit of this value to the last (sign) position (S << 63)
+ * f) Change destination sign if source sign is negative
+ * using XOR operation.
+ */
+        vpsllq    $63, %ymm7, %ymm5
+        vpsllq    $62, %ymm7, %ymm14
+        vfnmadd213pd %ymm1, %ymm2, %ymm4
+        vfnmadd231pd 28608+__svml_dtan_data_internal(%rip), %ymm2, %ymm4
+        vfnmadd132pd 28672+__svml_dtan_data_internal(%rip), %ymm4, %ymm2
+
+/* a) Calculate X^2 = X * X */
+        vmulpd    %ymm2, %ymm2, %ymm4
+        vxorpd    %ymm6, %ymm5, %ymm0
+
+/*
+ * b) Calculate 2 polynomials:
+ * P = X * (P0 + X^2 * (P1 + x^2 * (P2 + x^2 * (P3))));
+ * Q = Q0 + X^2 * (Q1 + x^2 * (Q2 + x^2 * (Q3)));
+ * Assume P0 = 1
+ */
+        vmovupd   28928+__svml_dtan_data_internal(%rip), %ymm5
+        vfmadd213pd 29120+__svml_dtan_data_internal(%rip), %ymm4, %ymm10
+        vfmadd213pd 28864+__svml_dtan_data_internal(%rip), %ymm4, %ymm5
+        vfmadd213pd 29056+__svml_dtan_data_internal(%rip), %ymm4, %ymm10
+        vfmadd213pd 28800+__svml_dtan_data_internal(%rip), %ymm4, %ymm5
+        vfmadd213pd 28992+__svml_dtan_data_internal(%rip), %ymm4, %ymm10
+        vmulpd    %ymm5, %ymm4, %ymm9
+        vfmadd213pd %ymm2, %ymm2, %ymm9
+
+/* 1) Range reduction to [-Pi/4; +Pi/4] interval */
+        vxorpd    %ymm8, %ymm8, %ymm8
+        vcmpneqpd %ymm8, %ymm14, %ymm7
+
+/* Large values check */
+        vcmpnle_uqpd 28160+__svml_dtan_data_internal(%rip), %ymm1, %ymm14
+
+/*
+ * c) Swap P and Q if first bit of obtained value after
+ * Right Shifting is set to 1. Using And, Andnot & Or operations.
+ */
+        vandnpd   %ymm9, %ymm7, %ymm3
+        vandpd    %ymm10, %ymm7, %ymm6
+        vandpd    %ymm9, %ymm7, %ymm11
+        vandnpd   %ymm10, %ymm7, %ymm12
+        vorpd     %ymm6, %ymm3, %ymm13
+        vorpd     %ymm12, %ymm11, %ymm2
+
+/* d) Divide R = P / Q; */
+        vdivpd    %ymm2, %ymm13, %ymm3
+        vmovmskpd %ymm14, %edx
+
+/*
+ * 3) Destination sign setting
+ * a) Set shifted destination sign using XOR operation:
+ * R = XOR( R, S );
+ */
+        vxorpd    %ymm0, %ymm3, %ymm0
+        testl     %edx, %edx
+        jne       L(7)
+
+L(1):
+        testl     %eax, %eax
+        jne       L(3)
+
+L(2):
+        vmovups   32(%rsp), %ymm8
+        cfi_restore(91)
+        vmovups   96(%rsp), %ymm9
+        cfi_restore(92)
+        vmovups   160(%rsp), %ymm10
+        cfi_restore(93)
+        vmovups   192(%rsp), %ymm11
+        cfi_restore(94)
+        vmovups   224(%rsp), %ymm12
+        cfi_restore(95)
+        vmovups   256(%rsp), %ymm13
+        cfi_restore(96)
+        vmovups   288(%rsp), %ymm14
+        cfi_restore(97)
+        vmovups   320(%rsp), %ymm15
+        cfi_restore(98)
+        movq      %rbp, %rsp
+        popq      %rbp
+        cfi_def_cfa(7, 8)
+        cfi_restore(6)
+        ret
+        cfi_def_cfa(6, 16)
+        cfi_offset(6, -16)
+        .cfi_escape 0x10, 0xdb, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xfe, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xdc, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xe0, 0xfe, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xdd, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x20, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xde, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xdf, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x60, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xe0, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xe1, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xe2, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x22
+
+L(3):
+        vmovupd   %ymm15, 64(%rsp)
+        vmovupd   %ymm0, 128(%rsp)
+        je        L(2)
+        xorl      %edx, %edx
+        vzeroupper
+        movq      %rsi, 8(%rsp)
+        movq      %rdi, (%rsp)
+        movq      %r12, 24(%rsp)
+        .cfi_escape 0x10, 0x04, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x88, 0xfe, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x05, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 0xfe, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x98, 0xfe, 0xff, 0xff, 0x22
+        movl      %edx, %r12d
+        movq      %r13, 16(%rsp)
+        .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x90, 0xfe, 0xff, 0xff, 0x22
+        movl      %eax, %r13d
+
+L(4):
+        btl       %r12d, %r13d
+        jc        L(6)
+
+L(5):
+        incl      %r12d
+        cmpl      $4, %r12d
+        jl        L(4)
+        movq      8(%rsp), %rsi
+        cfi_restore(4)
+        movq      (%rsp), %rdi
+        cfi_restore(5)
+        movq      24(%rsp), %r12
+        cfi_restore(12)
+        movq      16(%rsp), %r13
+        cfi_restore(13)
+        vmovupd   128(%rsp), %ymm0
+        jmp       L(2)
+        .cfi_escape 0x10, 0x04, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x88, 0xfe, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x05, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 0xfe, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x98, 0xfe, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x90, 0xfe, 0xff, 0xff, 0x22
+
+L(6):
+        lea       64(%rsp,%r12,8), %rdi
+        lea       128(%rsp,%r12,8), %rsi
+        call      __svml_dtan_cout_rare_internal
+        jmp       L(5)
+        cfi_restore(4)
+        cfi_restore(5)
+        cfi_restore(12)
+        cfi_restore(13)
+
+L(7):
+        vpand     .FLT_20(%rip), %ymm15, %ymm4
+
+/*
+ * Get the (2^a / 2pi) mod 1 values from the table.
+ * Because VLANG doesn't have L-type gather, we need a trivial cast
+ */
+        lea       __svml_dtan_reduction_data_internal(%rip), %r9
+        vmovupd   1088+__svml_dtan_data_internal(%rip), %ymm6
+        vmovupd   %ymm0, (%rsp)
+        vpsrlq    $52, %ymm4, %ymm13
+        vandpd    %ymm1, %ymm6, %ymm12
+        vcmpeqpd  %ymm6, %ymm12, %ymm7
+        vmovmskpd %ymm7, %eax
+        vextractf128 $1, %ymm13, %xmm8
+        vmovd     %xmm13, %ecx
+        vmovd     %xmm8, %r10d
+        vpextrd   $2, %xmm13, %edx
+        lea       (%rcx,%rcx,2), %r8d
+        vpextrd   $2, %xmm8, %ecx
+        lea       (%r10,%r10,2), %r10d
+        shll      $3, %r8d
+        shll      $3, %r10d
+
+/*
+ * Also get the significand as an integer
+ * NB: adding in the integer bit is wrong for denorms!
+ * To make this work for denorms we should do something slightly different
+ */
+        vpand     .FLT_21(%rip), %ymm15, %ymm13
+        lea       (%rdx,%rdx,2), %r11d
+        vmovq     (%r8,%r9), %xmm10
+        vmovq     (%r10,%r9), %xmm5
+        vmovq     8(%r8,%r9), %xmm3
+        shll      $3, %r11d
+        lea       (%rcx,%rcx,2), %edx
+        shll      $3, %edx
+        vmovhpd   (%r11,%r9), %xmm10, %xmm9
+        vmovhpd   (%rdx,%r9), %xmm5, %xmm12
+        vpaddq    .FLT_22(%rip), %ymm13, %ymm8
+        vmovq     16(%r8,%r9), %xmm1
+        vmovq     8(%r10,%r9), %xmm7
+        vmovq     16(%r10,%r9), %xmm11
+        vmovhpd   8(%r11,%r9), %xmm3, %xmm6
+        vmovhpd   16(%r11,%r9), %xmm1, %xmm4
+        vmovhpd   8(%rdx,%r9), %xmm7, %xmm2
+        vmovhpd   16(%rdx,%r9), %xmm11, %xmm0
+
+/*  Load constants (not all needed at once)  */
+        lea       1632+__svml_dtan_data_internal(%rip), %r9
+        vinsertf128 $1, %xmm12, %ymm9, %ymm10
+
+/*
+ * Break the P_xxx and m into 32-bit chunks ready for
+ * the long multiplication via 32x32->64 multiplications
+ */
+        vmovdqu   .FLT_23(%rip), %ymm12
+        vpand     %ymm12, %ymm10, %ymm7
+        vpsrlq    $32, %ymm10, %ymm10
+        vinsertf128 $1, %xmm2, %ymm6, %ymm9
+        vinsertf128 $1, %xmm0, %ymm4, %ymm11
+        vpsrlq    $32, %ymm9, %ymm4
+        vpand     %ymm12, %ymm9, %ymm2
+        vpsrlq    $32, %ymm8, %ymm9
+        vpand     %ymm12, %ymm11, %ymm5
+        vpsrlq    $32, %ymm11, %ymm0
+        vpand     %ymm12, %ymm8, %ymm6
+        vpmuludq  %ymm5, %ymm9, %ymm11
+        vpsrlq    $32, %ymm11, %ymm5
+        vpmuludq  %ymm0, %ymm9, %ymm11
+        vpmuludq  %ymm0, %ymm6, %ymm0
+        vpsrlq    $32, %ymm0, %ymm0
+        vpmuludq  %ymm2, %ymm6, %ymm1
+        vpand     %ymm12, %ymm1, %ymm13
+        vpaddq    %ymm0, %ymm11, %ymm11
+        vpsrlq    $32, %ymm1, %ymm1
+        vpaddq    %ymm11, %ymm13, %ymm13
+        vpmuludq  %ymm4, %ymm6, %ymm3
+        vpmuludq  %ymm2, %ymm9, %ymm2
+        vpaddq    %ymm13, %ymm5, %ymm11
+        vpand     %ymm12, %ymm3, %ymm5
+        vpaddq    %ymm1, %ymm2, %ymm2
+        vpsrlq    $32, %ymm3, %ymm3
+        vpsrlq    $32, %ymm11, %ymm13
+        vpaddq    %ymm2, %ymm5, %ymm5
+        vpmuludq  %ymm7, %ymm6, %ymm8
+        vpaddq    %ymm5, %ymm13, %ymm5
+        vpand     %ymm12, %ymm8, %ymm1
+        vpsrlq    $32, %ymm5, %ymm0
+        vpsllq    $32, %ymm5, %ymm5
+        vpmuludq  %ymm4, %ymm9, %ymm13
+        vpaddq    %ymm3, %ymm13, %ymm13
+        vpsrlq    $32, %ymm8, %ymm4
+        vpaddq    %ymm13, %ymm1, %ymm3
+        vpmuludq  %ymm10, %ymm6, %ymm6
+
+/* Now do the big multiplication and carry propagation */
+        vpmuludq  %ymm7, %ymm9, %ymm7
+        vpaddq    %ymm3, %ymm0, %ymm2
+        vpand     %ymm12, %ymm6, %ymm10
+        vpaddq    %ymm4, %ymm7, %ymm9
+        vpsrlq    $32, %ymm2, %ymm13
+        vpand     %ymm12, %ymm2, %ymm6
+        vpaddq    %ymm9, %ymm10, %ymm8
+
+/* Assemble reduced argument from the pieces */
+        vpand     %ymm12, %ymm11, %ymm12
+        vpaddq    %ymm8, %ymm13, %ymm13
+
+/*
+ * We want to incorporate the original sign now too.
+ * Do it here for convenience in getting the right N value,
+ * though we could wait right to the end if we were prepared
+ * to modify the sign of N later too.
+ * So get the appropriate sign mask now (or sooner).
+ */
+        vpand     .FLT_24(%rip), %ymm15, %ymm8
+        vpaddq    %ymm12, %ymm5, %ymm9
+
+/*
+ * Now round at the 2^-9 bit position for reduction mod pi/2^8
+ * instead of the original 2pi (but still with the same 2pi scaling).
+ * Use a shifter of 2^43 + 2^42.
+ * The N we get is our final version; it has an offset of
+ * 2^9 because of the implicit integer bit, and anyway for negative
+ * starting value it's a 2s complement thing. But we need to mask
+ * off the exponent part anyway so it's fine.
+ */
+        vmovupd   .FLT_26(%rip), %ymm5
+        vpsllq    $32, %ymm13, %ymm3
+
+/*
+ * Create floating-point high part, implicitly adding integer bit 1
+ * Incorporate overall sign at this stage too.
+ */
+        vpxor     .FLT_25(%rip), %ymm8, %ymm10
+
+/*
+ * Create floating-point low and medium parts, respectively
+ * lo_23, ... lo_0, 0, ..., 0
+ * hi_11, ... hi_0, lo_63, ..., lo_24
+ * then subtract off the implicitly added integer bits,
+ * 2^-104 and 2^-52, respectively.
+ * Put the original sign into all of them at this stage.
+ */
+        vpxor     .FLT_27(%rip), %ymm8, %ymm4
+        vpand     .FLT_28(%rip), %ymm9, %ymm7
+        vpaddq    %ymm6, %ymm3, %ymm3
+        vpsrlq    $24, %ymm9, %ymm9
+        vpsllq    $28, %ymm7, %ymm2
+        vpsrlq    $12, %ymm3, %ymm13
+        vpor      %ymm4, %ymm2, %ymm1
+        vpor      %ymm10, %ymm13, %ymm12
+        vsubpd    %ymm4, %ymm1, %ymm13
+        vaddpd    %ymm5, %ymm12, %ymm10
+        vsubpd    %ymm5, %ymm10, %ymm6
+        vpxor     .FLT_29(%rip), %ymm8, %ymm5
+        vpand     .FLT_30(%rip), %ymm3, %ymm8
+        vsubpd    %ymm6, %ymm12, %ymm0
+        vpsllq    $40, %ymm8, %ymm3
+        vpor      %ymm9, %ymm3, %ymm11
+
+/*
+ * If the magnitude of the input is <= 2^-20, then
+ * just pass through the input, since no reduction will be needed and
+ * the main path will only work accurately if the reduced argument is
+ * about >= 2^-70 (which it is for all large pi multiples)
+ */
+        vmovupd   .FLT_34(%rip), %ymm3
+        vpor      %ymm5, %ymm11, %ymm9
+        vsubpd    %ymm5, %ymm9, %ymm8
+
+/* Now add them up into 2 reasonably aligned pieces */
+        vaddpd    %ymm8, %ymm0, %ymm12
+        vsubpd    %ymm12, %ymm0, %ymm0
+        vaddpd    %ymm0, %ymm8, %ymm9
+
+/*
+ * Now multiply those numbers all by 2 pi, reasonably accurately.
+ * (RHi + RLo) * (pi_lead + pi_trail) ~=
+ * RHi * pi_lead + (RHi * pi_trail + RLo * pi_lead)
+ */
+        vmovupd   .FLT_31(%rip), %ymm8
+        vaddpd    %ymm9, %ymm13, %ymm11
+        vmulpd    %ymm12, %ymm8, %ymm7
+        vmovapd   %ymm8, %ymm13
+        vfmsub213pd %ymm7, %ymm12, %ymm13
+
+/* Grab our final N value as an integer, appropriately masked mod 2^9 */
+        vandps    .FLT_35(%rip), %ymm10, %ymm10
+
+/*
+ * Argument reduction is now finished: x = n * pi/256 + r
+ * where n = lIndex and r = dZ
+ * But we have n modulo 512, needed for sin/cos with period 2pi
+ * but we want it modulo 256 since tan has period pi.
+ */
+        vandps    .FLT_36(%rip), %ymm10, %ymm10
+        vandpd    .FLT_33(%rip), %ymm15, %ymm5
+        vcmpgt_oqpd %ymm3, %ymm5, %ymm4
+        vcmple_oqpd %ymm3, %ymm5, %ymm6
+        vfmadd132pd .FLT_32(%rip), %ymm13, %ymm12
+        vfmadd213pd %ymm12, %ymm8, %ymm11
+        vandpd    %ymm15, %ymm6, %ymm2
+        vandpd    %ymm7, %ymm4, %ymm1
+        vorpd     %ymm1, %ymm2, %ymm0
+        vandpd    %ymm11, %ymm4, %ymm13
+
+/*
+ * The output is _VRES_Z (high) + _VRES_E (low), and the integer part is _VRES_IND
+ * Simply absorb E into Z instead of keeping a 2-part result.
+ */
+        vaddpd    %ymm13, %ymm0, %ymm13
+        vextractf128 $1, %ymm10, %xmm5
+        vmovd     %xmm10, %r8d
+        vmovd     %xmm5, %edx
+        imull     $104, %r8d, %r8d
+        imull     $104, %edx, %edx
+        vmovq     -96(%r8,%r9), %xmm9
+        vmovq     -80(%r8,%r9), %xmm6
+        vpextrd   $2, %xmm10, %r11d
+        vpextrd   $2, %xmm5, %r10d
+        imull     $104, %r11d, %ecx
+        imull     $104, %r10d, %r11d
+        vmovq     -96(%rdx,%r9), %xmm12
+        vmovq     -72(%r8,%r9), %xmm4
+        vmovq     -80(%rdx,%r9), %xmm2
+        vmovhpd   -96(%rcx,%r9), %xmm9, %xmm8
+        vmovhpd   -96(%r11,%r9), %xmm12, %xmm3
+        vmovq     -56(%r8,%r9), %xmm9
+        vmovq     -72(%rdx,%r9), %xmm0
+        vmovq     -56(%rdx,%r9), %xmm5
+        vmovhpd   -80(%rcx,%r9), %xmm6, %xmm7
+        vmovhpd   -72(%rcx,%r9), %xmm4, %xmm11
+        vmovhpd   -80(%r11,%r9), %xmm2, %xmm1
+        vmovhpd   -72(%r11,%r9), %xmm0, %xmm10
+        vmovq     -48(%r8,%r9), %xmm6
+        vmovq     -48(%rdx,%r9), %xmm0
+        vinsertf128 $1, %xmm3, %ymm8, %ymm12
+        vmovhpd   -56(%rcx,%r9), %xmm9, %xmm8
+        vmovhpd   -56(%r11,%r9), %xmm5, %xmm3
+        vmovq     -40(%r8,%r9), %xmm9
+        vmovq     -40(%rdx,%r9), %xmm5
+        vinsertf128 $1, %xmm1, %ymm7, %ymm2
+        vinsertf128 $1, %xmm10, %ymm11, %ymm1
+        vinsertf128 $1, %xmm3, %ymm8, %ymm4
+        vmovhpd   -48(%rcx,%r9), %xmm6, %xmm7
+        vmovhpd   -40(%rcx,%r9), %xmm9, %xmm8
+        vmovq     -32(%r8,%r9), %xmm11
+        vmovhpd   -48(%r11,%r9), %xmm0, %xmm10
+        vmovhpd   -40(%r11,%r9), %xmm5, %xmm6
+        vmovq     -32(%rdx,%r9), %xmm9
+        vmovhpd   -32(%rcx,%r9), %xmm11, %xmm0
+        vmovq     -24(%rdx,%r9), %xmm11
+        vmovq     -24(%r8,%r9), %xmm5
+
+/*
+ *  Sum of dominant component(s)
+ * Compute C0_hi + C1_hi * Z + Recip_hi = H4
+ * H2 = C0_hi + C1_hi * Z (exact since C1_hi is 1 bit)
+ */
+        vfmadd213pd %ymm1, %ymm13, %ymm4
+
+/*
+ *  Higher polynomial terms
+ * Stage 1 (with unlimited parallelism)
+ * Z2 = Z^2
+ */
+        vmulpd    %ymm13, %ymm13, %ymm1
+        vinsertf128 $1, %xmm10, %ymm7, %ymm3
+        vinsertf128 $1, %xmm6, %ymm8, %ymm10
+        vmovhpd   -32(%r11,%r9), %xmm9, %xmm8
+        vmovhpd   -24(%r11,%r9), %xmm11, %xmm9
+        vmovq     -16(%rdx,%r9), %xmm11
+        vmovhpd   -24(%rcx,%r9), %xmm5, %xmm7
+
+/* P4 = C1_lo + C2 * Z */
+        vfmadd213pd %ymm3, %ymm13, %ymm10
+        vinsertf128 $1, %xmm8, %ymm0, %ymm6
+        vmovq     -16(%r8,%r9), %xmm8
+        vmovhpd   -16(%rcx,%r9), %xmm8, %xmm5
+        vmovhpd   -16(%r11,%r9), %xmm11, %xmm0
+        vmovq     -8(%r8,%r9), %xmm8
+        vmovq     -8(%rdx,%r9), %xmm11
+        vinsertf128 $1, %xmm9, %ymm7, %ymm9
+        vinsertf128 $1, %xmm0, %ymm5, %ymm7
+        vmovhpd   -8(%rcx,%r9), %xmm8, %xmm5
+        vmovhpd   -8(%r11,%r9), %xmm11, %xmm0
+
+/* P5 = C3 + C4 * Z */
+        vfmadd213pd %ymm6, %ymm13, %ymm9
+
+/* P10 = C1_lo + C2 * Z + C3 * Z^2 + C4 * Z^3 */
+        vfmadd213pd %ymm10, %ymm1, %ymm9
+        vinsertf128 $1, %xmm0, %ymm5, %ymm8
+        vmovq     (%r8,%r9), %xmm5
+        vmovq     (%rdx,%r9), %xmm0
+        vmovhpd   (%rcx,%r9), %xmm5, %xmm11
+        vmovhpd   (%r11,%r9), %xmm0, %xmm5
+
+/* P6 = C5 + C6 * Z */
+        vfmadd213pd %ymm7, %ymm13, %ymm8
+        vinsertf128 $1, %xmm5, %ymm11, %ymm5
+
+/*
+ *  Compute reciprocal component
+ * Construct a separate reduced argument modulo pi near pi/2 multiples.
+ * i.e. (pi/2 - x) mod pi, simply by subtracting the reduced argument
+ * from an accurate B_hi = (128 - n) pi/256.
+ */
+        vsubpd    %ymm13, %ymm12, %ymm11
+
+/* P9 = C5 + C6 * Z + C7 * Z^2 */
+        vfmadd213pd %ymm8, %ymm1, %ymm5
+
+/* Now compute an approximate reciprocal to mix into the computation. */
+        vcvtpd2ps %ymm11, %xmm12
+        vrcpps    %xmm12, %xmm12
+        vcvtps2pd %xmm12, %ymm0
+
+/*
+ * Now compute the error dEr where dRecip_hi = (1/R_full) * (1 - dEr)
+ * so that we can compensate for it.
+ */
+        vfnmadd213pd .FLT_37(%rip), %ymm0, %ymm11
+
+/*
+ * Get a working-precision reciprocal 1/dR_full
+ * using a fourth-order polynomial approximation
+ * R + (E*R) * (1 + E) * (1 + E^2)
+ */
+        vmulpd    %ymm11, %ymm11, %ymm12
+        vfmadd213pd %ymm11, %ymm11, %ymm11
+        vfmadd213pd %ymm0, %ymm0, %ymm12
+        vfmadd213pd %ymm0, %ymm11, %ymm12
+
+/*
+ *
+ * End of large arguments path
+ *
+ * Merge results from main and large paths:
+ */
+        vmovupd   (%rsp), %ymm0
+
+/*
+ * dRecip_hi is only used when dTau is one (cotangent path)
+ * H4 = C0_hi + C1_hi * Z + Recip_hi
+ */
+        vfmadd213pd %ymm4, %ymm2, %ymm12
+
+/*
+ * Stage 2 (with unlimited parallelism)
+ * Z4 = Z^4
+ */
+        vmulpd    %ymm1, %ymm1, %ymm2
+
+/*
+ * Stage 3 (with unlimited parallelism)
+ * P12 = C1_lo + C2 * Z + ... + C7 * Z^6
+ */
+        vfmadd213pd %ymm9, %ymm2, %ymm5
+
+/* And now the very final summation */
+        vfmadd213pd %ymm12, %ymm13, %ymm5
+        vblendvpd %ymm14, %ymm5, %ymm0, %ymm0
+        jmp       L(1)
+
+END(_ZGVdN4v_tan_avx2)
+
+        .align    16,0x90
+
+__svml_dtan_cout_rare_internal:
+
+        cfi_startproc
+
+        xorl      %eax, %eax
+        movzwl    6(%rdi), %ecx
+        movsd     (%rdi), %xmm1
+        andl      $32752, %ecx
+        movb      7(%rdi), %dl
+        andb      $127, %dl
+        movsd     %xmm1, -8(%rsp)
+        movb      %dl, -1(%rsp)
+        cmpl      $32752, %ecx
+        je        L(8)
+        ret
+
+L(8):
+        cmpl      $0, -8(%rsp)
+        jne       L(9)
+        cmpl      $2146435072, -4(%rsp)
+        jne       L(9)
+        movsd     __dtan_la_Tab(%rip), %xmm0
+        movl      $1, %eax
+        mulsd     %xmm0, %xmm1
+        movsd     %xmm1, (%rsi)
+        ret
+
+L(9):
+        mulsd     %xmm1, %xmm1
+        movsd     %xmm1, (%rsi)
+        ret
+
+        cfi_endproc
+
+        .type	__svml_dtan_cout_rare_internal,@function
+        .size	__svml_dtan_cout_rare_internal,.-__svml_dtan_cout_rare_internal
+
+        .section .rodata, "a"
+        .align 64
+
+__svml_dtan_data_internal:
+        .long	1841940611
+        .long	1075076912
+        .long	1841940611
+        .long	1075076912
+        .long	1841940611
+        .long	1075076912
+        .long	1841940611
+        .long	1075076912
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
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+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .long	1413754136
+        .long	1070146043
+        .long	1413754136
+        .long	1070146043
+        .long	1413754136
+        .long	1070146043
+        .long	1413754136
+        .long	1070146043
+        .byte	0
+        .byte	0
+        .byte	0
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+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .long	856972294
+        .long	1013032486
+        .long	856972294
+        .long	1013032486
+        .long	856972294
+        .long	1013032486
+        .long	856972294
+        .long	1013032486
+        .byte	0
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+        .byte	0
+        .byte	0
+        .byte	0
+        .long	688016905
+        .long	958143697
+        .long	688016905
+        .long	958143697
+        .long	688016905
+        .long	958143697
+        .long	688016905
+        .long	958143697
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+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .long	855638016
+        .long	1013032486
+        .long	855638016
+        .long	1013032486
+        .long	855638016
+        .long	1013032486
+        .long	855638016
+        .long	1013032486
+        .byte	0
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+        .byte	0
+        .byte	0
+        .byte	0
+        .long	3773204808
+        .long	979655686
+        .long	3773204808
+        .long	979655686
+        .long	3773204808
+        .long	979655686
+        .long	3773204808
+        .long	979655686
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+        .byte	0
+        .long	0
+        .long	2147483648
+        .long	3763679576
+        .long	1070167541
+        .long	2583490354
+        .long	1071284857
+        .long	716700048
+        .long	1071997368
+        .long	0
+        .long	1072693248
+        .long	3797578849
+        .long	1073213976
+        .long	859807206
+        .long	1073958991
+        .long	3795994481
+        .long	1075059710
+        .long	4294967295
+        .long	4293918719
+        .long	3795994481
+        .long	3222543358
+        .long	859807206
+        .long	3221442639
+        .long	3797578849
+        .long	3220697624
+        .long	0
+        .long	3220176896
+        .long	716700048
+        .long	3219481016
+        .long	2583490354
+        .long	3218768505
+        .long	3763679576
+        .long	3217651189
+        .long	0
+        .long	2147483648
+        .long	1732516166
+        .long	1009710547
+        .long	2973134505
+        .long	1014008623
+        .long	561165941
+        .long	1015523525
+        .long	0
+        .long	0
+        .long	1767150223
+        .long	1016338938
+        .long	4129738197
+        .long	1017254245
+        .long	4275273486
+        .long	1015088902
+        .long	0
+        .long	4238344192
+        .long	4275273486
+        .long	3162572550
+        .long	4129738197
+        .long	3164737893
+        .long	1767150223
+        .long	3163822586
+        .long	0
+        .long	0
+        .long	561165941
+        .long	3163007173
+        .long	2973134505
+        .long	3161492271
+        .long	1732516166
+        .long	3157194195
+        .long	1431655900
+        .long	1070945621
+        .long	1431655900
+        .long	1070945621
+        .long	1431655900
+        .long	1070945621
+        .long	1431655900
+        .long	1070945621
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+        .byte	0
+        .long	285935618
+        .long	1069617425
+        .long	285935618
+        .long	1069617425
+        .long	285935618
+        .long	1069617425
+        .long	285935618
+        .long	1069617425
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+        .long	1218258378
+        .long	1068212666
+        .long	1218258378
+        .long	1068212666
+        .long	1218258378
+        .long	1068212666
+        .long	1218258378
+        .long	1068212666
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+        .long	1716452265
+        .long	1066820779
+        .long	1716452265
+        .long	1066820779
+        .long	1716452265
+        .long	1066820779
+        .long	1716452265
+        .long	1066820779
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+        .long	3351902813
+        .long	1065508044
+        .long	3351902813
+        .long	1065508044
+        .long	3351902813
+        .long	1065508044
+        .long	3351902813
+        .long	1065508044
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+        .long	1072693248
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+        .long	1072693248
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+        .long	1072693248
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+        .byte	0
+        .long	4294967295
+        .long	2147483647
+        .long	4294967295
+        .long	2147483647
+        .long	4294967295
+        .long	2147483647
+        .long	4294967295
+        .long	2147483647
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+        .long	2146435072
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+        .long	2146435072
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+        .long	2146435072
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+        .long	1127743488
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+        .long	1127743488
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+        .long	1065951739
+        .long	1413480448
+        .long	1065951739
+        .long	1413480448
+        .long	1065951739
+        .long	1413480448
+        .long	1065951739
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+        .long	442499072
+        .long	1029747809
+        .long	442499072
+        .long	1029747809
+        .long	442499072
+        .long	1029747809
+        .long	442499072
+        .long	1029747809
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+        .long	771977331
+        .long	993204618
+        .long	771977331
+        .long	993204618
+        .long	771977331
+        .long	993204618
+        .long	771977331
+        .long	993204618
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+        .long	511
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+        .long	511
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+        .long	511
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+        .long	511
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+        .long	4011107621
+        .long	4135194227
+        .long	1648302778
+        .long	3570923199
+        .long	531601349
+        .long	3050610411
+        .long	3727247947
+        .long	3975421159
+        .long	3296605556
+        .long	2846879102
+        .long	1063202699
+        .long	1806253526
+        .long	3159528599
+        .long	3655875023
+        .long	2298243816
+        .long	1398790909
+        .long	2126405399
+        .long	3612507052
+        .long	2024089902
+        .long	3016782751
+        .long	301520336
+        .long	2797581819
+        .long	4252810799
+        .long	2930046808
+        .long	4048179805
+        .long	1738598206
+        .long	603040673
+        .long	1300196342
+        .long	4210654302
+        .long	1565126321
+        .long	3801392314
+        .long	3477196413
+        .long	1206081346
+        .long	2600392684
+        .long	4126341309
+        .long	3130252643
+        .long	3307817333
+        .long	2659425531
+        .long	2412162692
+        .long	905818072
+        .long	3957715323
+        .long	1965537991
+        .long	2320667370
+        .long	1023883767
+        .long	529358088
+        .long	1811636145
+        .long	3620463350
+        .long	3931075983
+        .long	346367444
+        .long	2047767535
+        .long	1058716176
+        .long	3623272290
+        .long	2945959404
+        .long	3567184671
+        .long	692734889
+        .long	4095535070
+        .long	2117432353
+        .long	2951577284
+        .long	1596951513
+        .long	2839402047
+        .long	1385469779
+        .long	3896102844
+        .long	4234864706
+        .long	1608187272
+        .long	3193903027
+        .long	1383836798
+        .long	2770939558
+        .long	3497238392
+        .long	4174762117
+        .long	3216374545
+        .long	2092838759
+        .long	2767673597
+        .long	1246911821
+        .long	2699509489
+        .long	4054556938
+        .long	2137781795
+        .long	4185677519
+        .long	1240379898
+        .long	2493823642
+        .long	1104051682
+        .long	3814146581
+        .long	4275563591
+        .long	4076387742
+        .long	2480759797
+        .long	692679989
+        .long	2208103365
+        .long	3333325867
+        .long	4256159887
+        .long	3857808189
+        .long	666552299
+        .long	1385359979
+        .long	121239434
+        .long	2371684438
+        .long	4217352479
+        .long	3420649082
+        .long	1333104599
+        .long	2770719959
+        .long	242478868
+        .long	448401580
+        .long	4139737663
+        .long	2546330868
+        .long	2666209199
+        .long	1246472623
+        .long	484957737
+        .long	896803160
+        .long	3984508030
+        .type	__svml_dtan_reduction_data_internal,@object
+        .size	__svml_dtan_reduction_data_internal,49152
+        .space 512, 0x00 	
+        .align 32
+
+.FLT_20:
+        .long	0x00000000,0x7ff00000,0x00000000,0x7ff00000,0x00000000,0x7ff00000,0x00000000,0x7ff00000
+        .type	.FLT_20,@object
+        .size	.FLT_20,32
+        .align 32
+
+.FLT_21:
+        .long	0xffffffff,0x000fffff,0xffffffff,0x000fffff,0xffffffff,0x000fffff,0xffffffff,0x000fffff
+        .type	.FLT_21,@object
+        .size	.FLT_21,32
+        .align 32
+
+.FLT_22:
+        .long	0x00000000,0x00100000,0x00000000,0x00100000,0x00000000,0x00100000,0x00000000,0x00100000
+        .type	.FLT_22,@object
+        .size	.FLT_22,32
+        .align 32
+
+.FLT_23:
+        .long	0xffffffff,0x00000000,0xffffffff,0x00000000,0xffffffff,0x00000000,0xffffffff,0x00000000
+        .type	.FLT_23,@object
+        .size	.FLT_23,32
+        .align 32
+
+.FLT_24:
+        .long	0x00000000,0x80000000,0x00000000,0x80000000,0x00000000,0x80000000,0x00000000,0x80000000
+        .type	.FLT_24,@object
+        .size	.FLT_24,32
+        .align 32
+
+.FLT_25:
+        .long	0x00000000,0x3ff00000,0x00000000,0x3ff00000,0x00000000,0x3ff00000,0x00000000,0x3ff00000
+        .type	.FLT_25,@object
+        .size	.FLT_25,32
+        .align 32
+
+.FLT_26:
+        .long	0x00000000,0x42a80000,0x00000000,0x42a80000,0x00000000,0x42a80000,0x00000000,0x42a80000
+        .type	.FLT_26,@object
+        .size	.FLT_26,32
+        .align 32
+
+.FLT_27:
+        .long	0x00000000,0x39700000,0x00000000,0x39700000,0x00000000,0x39700000,0x00000000,0x39700000
+        .type	.FLT_27,@object
+        .size	.FLT_27,32
+        .align 32
+
+.FLT_28:
+        .long	0x00ffffff,0x00000000,0x00ffffff,0x00000000,0x00ffffff,0x00000000,0x00ffffff,0x00000000
+        .type	.FLT_28,@object
+        .size	.FLT_28,32
+        .align 32
+
+.FLT_29:
+        .long	0x00000000,0x3cb00000,0x00000000,0x3cb00000,0x00000000,0x3cb00000,0x00000000,0x3cb00000
+        .type	.FLT_29,@object
+        .size	.FLT_29,32
+        .align 32
+
+.FLT_30:
+        .long	0x00000fff,0x00000000,0x00000fff,0x00000000,0x00000fff,0x00000000,0x00000fff,0x00000000
+        .type	.FLT_30,@object
+        .size	.FLT_30,32
+        .align 32
+
+.FLT_31:
+        .long	0x54442d18,0x401921fb,0x54442d18,0x401921fb,0x54442d18,0x401921fb,0x54442d18,0x401921fb
+        .type	.FLT_31,@object
+        .size	.FLT_31,32
+        .align 32
+
+.FLT_32:
+        .long	0x33145c07,0x3cb1a626,0x33145c07,0x3cb1a626,0x33145c07,0x3cb1a626,0x33145c07,0x3cb1a626
+        .type	.FLT_32,@object
+        .size	.FLT_32,32
+        .align 32
+
+.FLT_33:
+        .long	0xffffffff,0x7fffffff,0xffffffff,0x7fffffff,0xffffffff,0x7fffffff,0xffffffff,0x7fffffff
+        .type	.FLT_33,@object
+        .size	.FLT_33,32
+        .align 32
+
+.FLT_34:
+        .long	0x00000000,0x3eb00000,0x00000000,0x3eb00000,0x00000000,0x3eb00000,0x00000000,0x3eb00000
+        .type	.FLT_34,@object
+        .size	.FLT_34,32
+        .align 32
+
+.FLT_35:
+        .long	0x000001ff,0x00000000,0x000001ff,0x00000000,0x000001ff,0x00000000,0x000001ff,0x00000000
+        .type	.FLT_35,@object
+        .size	.FLT_35,32
+        .align 32
+
+.FLT_36:
+        .long	0x000000ff,0x00000000,0x000000ff,0x00000000,0x000000ff,0x00000000,0x000000ff,0x00000000
+        .type	.FLT_36,@object
+        .size	.FLT_36,32
+        .align 32
+
+.FLT_37:
+        .long	0x00000000,0x3ff00000,0x00000000,0x3ff00000,0x00000000,0x3ff00000,0x00000000,0x3ff00000
+        .type	.FLT_37,@object
+        .size	.FLT_37,32
+        .align 8
+
+__dtan_la_Tab:
+        .long	0
+        .long	0
+        .long	0
+        .long	2146435072
+        .type	__dtan_la_Tab,@object
+        .size	__dtan_la_Tab,16
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_tan8_core-avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_d_tan8_core-avx2.S
new file mode 100644
index 0000000000..8714f237d5
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_d_tan8_core-avx2.S
@@ -0,0 +1,20 @@
+/* AVX2 version of vectorized tan, vector length is 8.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#define _ZGVeN8v_tan _ZGVeN8v_tan_avx2_wrapper
+#include "../svml_d_tan8_core.S"
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_tan8_core.c b/sysdeps/x86_64/fpu/multiarch/svml_d_tan8_core.c
new file mode 100644
index 0000000000..dbd1869bff
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_d_tan8_core.c
@@ -0,0 +1,27 @@
+/* Multiple versions of vectorized tan, vector length is 8.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#define SYMBOL_NAME _ZGVeN8v_tan
+#include "ifunc-mathvec-avx512-skx.h"
+
+libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ());
+
+#ifdef SHARED
+__hidden_ver1 (_ZGVeN8v_tan, __GI__ZGVeN8v_tan, __redirect__ZGVeN8v_tan)
+  __attribute__ ((visibility ("hidden")));
+#endif
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_d_tan8_core_avx512.S b/sysdeps/x86_64/fpu/multiarch/svml_d_tan8_core_avx512.S
new file mode 100644
index 0000000000..f0fe468a95
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_d_tan8_core_avx512.S
@@ -0,0 +1,20211 @@
+/* Function tan vectorized with AVX-512.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   https://www.gnu.org/licenses/.  */
+
+/*
+ * ALGORITHM DESCRIPTION:
+ *
+ *      ( optimized for throughput, with small table lookup, works when HW FMA is available )
+ *
+ *      Implementation reduces argument x to |R|<pi/32
+ *      16-entry tables used to store high and low parts of tan(x0)
+ *      Argument x = N*pi + x0 + (R);   x0 = k*pi/16, with k in {0, 1, ..., 15}
+ *      (very large arguments reduction resolved in _vdreduction_core.i)
+ *      Compute result as (tan(x0) + tan(R))/(1-tan(x0)*tan(R))
+ *      High accuracy ( < 1 ulp ) version keeps extra precision for numerator, denominator, and during
+ *      final NR-iteration computing quotient.
+ *
+ *
+ */
+
+#include <sysdep.h>
+
+        .text
+	.section .text.evex512,"ax",@progbits
+ENTRY(_ZGVeN8v_tan_skx)
+        pushq     %rbp
+        cfi_def_cfa_offset(16)
+        movq      %rsp, %rbp
+        cfi_def_cfa(6, 16)
+        cfi_offset(6, -16)
+        andq      $-64, %rsp
+        subq      $192, %rsp
+        xorl      %edx, %edx
+
+/* Large values check */
+        vmovups   28160+__svml_dtan_data_internal(%rip), %zmm1
+
+/*
+ *
+ * Main path
+ *
+ * start arg. reduction
+ */
+        vmovups   1152+__svml_dtan_data_internal(%rip), %zmm2
+        vmovups   64+__svml_dtan_data_internal(%rip), %zmm5
+        vmovups   128+__svml_dtan_data_internal(%rip), %zmm3
+        vmovups   192+__svml_dtan_data_internal(%rip), %zmm4
+        vmovaps   %zmm0, %zmm11
+        vandpd    1024+__svml_dtan_data_internal(%rip), %zmm11, %zmm0
+        vcmppd    $22, {sae}, %zmm1, %zmm0, %k1
+        vmovups   __svml_dtan_data_internal(%rip), %zmm1
+
+/*
+ *
+ * End of main path
+ */
+
+        kortestw  %k1, %k1
+        vfmadd213pd {rn-sae}, %zmm2, %zmm11, %zmm1
+        vsubpd    {rn-sae}, %zmm2, %zmm1, %zmm8
+        vfnmadd213pd {rn-sae}, %zmm11, %zmm8, %zmm5
+        vfnmadd231pd {rn-sae}, %zmm8, %zmm3, %zmm5
+        vfnmadd213pd {rn-sae}, %zmm5, %zmm4, %zmm8
+        jne       L(7)
+
+L(1):
+        vmovups   384+__svml_dtan_data_internal(%rip), %zmm0
+        vmovups   832+__svml_dtan_data_internal(%rip), %zmm5
+        vmovups   768+__svml_dtan_data_internal(%rip), %zmm2
+        vmovups   704+__svml_dtan_data_internal(%rip), %zmm3
+        vmovups   640+__svml_dtan_data_internal(%rip), %zmm4
+        vmulpd    {rn-sae}, %zmm8, %zmm8, %zmm6
+        vpermt2pd 448+__svml_dtan_data_internal(%rip), %zmm1, %zmm0
+        vmovups   896+__svml_dtan_data_internal(%rip), %zmm1
+        vfmadd231pd {rn-sae}, %zmm6, %zmm1, %zmm5
+        vfmadd213pd {rn-sae}, %zmm2, %zmm6, %zmm5
+        vfmadd213pd {rn-sae}, %zmm3, %zmm6, %zmm5
+        vfmadd213pd {rn-sae}, %zmm4, %zmm6, %zmm5
+        vmulpd    {rn-sae}, %zmm8, %zmm5, %zmm7
+        vfmadd213pd {rn-sae}, %zmm8, %zmm6, %zmm7
+
+/*
+ * Computer Denominator:
+ * dDenominator - dDlow ~= 1-(dTh+dTl)*(dP+dPlow)
+ */
+        vmovups   960+__svml_dtan_data_internal(%rip), %zmm8
+
+/*
+ * Compute Numerator:
+ * dNumerator + dNlow ~= dTh+dTl+dP+dPlow
+ */
+        vaddpd    {rn-sae}, %zmm0, %zmm7, %zmm9
+        vfnmadd213pd {rn-sae}, %zmm8, %zmm7, %zmm0
+
+/*
+ * Now computes (dNumerator + dNlow)/(dDenominator - dDlow)
+ * Choose NR iteration instead of hardware division
+ */
+        vrcp14pd  %zmm0, %zmm10
+
+/* One NR iteration to refine dRcp */
+        vfnmadd231pd {rn-sae}, %zmm10, %zmm0, %zmm8
+        vfmadd213pd {rn-sae}, %zmm10, %zmm8, %zmm10
+        vmulpd    {rn-sae}, %zmm9, %zmm10, %zmm12
+
+/* One NR iteration to refine dQuotient */
+        vfmsub213pd {rn-sae}, %zmm9, %zmm12, %zmm0
+        vfnmadd213pd {rn-sae}, %zmm12, %zmm10, %zmm0
+        testl     %edx, %edx
+        jne       L(3)
+
+L(2):
+        movq      %rbp, %rsp
+        popq      %rbp
+        cfi_def_cfa(7, 8)
+        cfi_restore(6)
+        ret
+        cfi_def_cfa(6, 16)
+        cfi_offset(6, -16)
+
+L(3):
+        vmovups   %zmm11, 64(%rsp)
+        vmovups   %zmm0, 128(%rsp)
+        je        L(2)
+        xorl      %eax, %eax
+        vzeroupper
+        kmovw     %k4, 24(%rsp)
+        kmovw     %k5, 16(%rsp)
+        kmovw     %k6, 8(%rsp)
+        kmovw     %k7, (%rsp)
+        movq      %rsi, 40(%rsp)
+        movq      %rdi, 32(%rsp)
+        movq      %r12, 56(%rsp)
+        .cfi_escape 0x10, 0x04, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x68, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x05, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x60, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x78, 0xff, 0xff, 0xff, 0x22
+        movl      %eax, %r12d
+        movq      %r13, 48(%rsp)
+        .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x70, 0xff, 0xff, 0xff, 0x22
+        movl      %edx, %r13d
+        .cfi_escape 0x10, 0xfa, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x58, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xfb, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xfc, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xfd, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22
+
+L(4):
+        btl       %r12d, %r13d
+        jc        L(6)
+
+L(5):
+        incl      %r12d
+        cmpl      $8, %r12d
+        jl        L(4)
+        kmovw     24(%rsp), %k4
+        cfi_restore(122)
+        kmovw     16(%rsp), %k5
+        cfi_restore(123)
+        kmovw     8(%rsp), %k6
+        cfi_restore(124)
+        kmovw     (%rsp), %k7
+        cfi_restore(125)
+        vmovups   128(%rsp), %zmm0
+        movq      40(%rsp), %rsi
+        cfi_restore(4)
+        movq      32(%rsp), %rdi
+        cfi_restore(5)
+        movq      56(%rsp), %r12
+        cfi_restore(12)
+        movq      48(%rsp), %r13
+        cfi_restore(13)
+        jmp       L(2)
+        .cfi_escape 0x10, 0x04, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x68, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x05, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x60, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x78, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x70, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xfa, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x58, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xfb, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xfc, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xfd, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22
+
+L(6):
+        lea       64(%rsp,%r12,8), %rdi
+        lea       128(%rsp,%r12,8), %rsi
+        call      __svml_dtan_cout_rare_internal
+        jmp       L(5)
+        cfi_restore(4)
+        cfi_restore(5)
+        cfi_restore(12)
+        cfi_restore(13)
+        cfi_restore(122)
+        cfi_restore(123)
+        cfi_restore(124)
+        cfi_restore(125)
+
+L(7):
+        vmovups   1088+__svml_dtan_data_internal(%rip), %zmm14
+
+/*
+ * Get the (2^a / 2pi) mod 1 values from the table.
+ * Because VLANG doesn't have L-type gather, we need a trivial cast
+ */
+        lea       __svml_dtan_reduction_data_internal(%rip), %rax
+        vmovups   %zmm1, (%rsp)
+        vpbroadcastq .FLT_18(%rip), %zmm9
+        vandpd    %zmm0, %zmm14, %zmm6
+        vmovups   %zmm8, 64(%rsp)
+        vcmppd    $4, {sae}, %zmm14, %zmm6, %k2
+        vmovaps   %zmm9, %zmm5
+        vpandq    .FLT_19(%rip){1to8}, %zmm11, %zmm8
+        vpsrlq    $52, %zmm8, %zmm10
+        vpsllq    $1, %zmm10, %zmm7
+        vpaddq    %zmm10, %zmm7, %zmm4
+        vpsllq    $3, %zmm4, %zmm0
+        vpmovqd   %zmm0, %ymm3
+        vpandnq   %zmm6, %zmm6, %zmm5{%k2}
+        vcmppd    $3, {sae}, %zmm5, %zmm5, %k0
+
+/*
+ * Break the P_xxx and m into 32-bit chunks ready for
+ * the long multiplication via 32x32->64 multiplications
+ */
+        vpbroadcastq .FLT_22(%rip), %zmm6
+        kxnorw    %k0, %k0, %k3
+        kxnorw    %k0, %k0, %k2
+        kmovw     %k0, %edx
+        vpxord    %zmm2, %zmm2, %zmm2
+        vgatherdpd (%rax,%ymm3), %zmm2{%k3}
+        kxnorw    %k0, %k0, %k3
+        vpsrlq    $32, %zmm2, %zmm5
+        vpxord    %zmm1, %zmm1, %zmm1
+        vpxord    %zmm8, %zmm8, %zmm8
+        vgatherdpd 8(%rax,%ymm3), %zmm1{%k2}
+        vgatherdpd 16(%rax,%ymm3), %zmm8{%k3}
+        vpsrlq    $32, %zmm1, %zmm0
+        vpsrlq    $32, %zmm8, %zmm13
+
+/*
+ * Also get the significand as an integer
+ * NB: adding in the integer bit is wrong for denorms!
+ * To make this work for denorms we should do something slightly different
+ */
+        vpandq    .FLT_20(%rip){1to8}, %zmm11, %zmm15
+        vpaddq    .FLT_21(%rip){1to8}, %zmm15, %zmm14
+        vpsrlq    $32, %zmm14, %zmm7
+        vpmullq   %zmm0, %zmm7, %zmm3
+        vpandq    %zmm6, %zmm2, %zmm10
+        vpandq    %zmm6, %zmm1, %zmm12
+        vpandq    %zmm6, %zmm8, %zmm15
+        vpandq    %zmm6, %zmm14, %zmm14
+
+/* Now do the big multiplication and carry propagation */
+        vpmullq   %zmm10, %zmm7, %zmm4
+        vpmullq   %zmm12, %zmm7, %zmm2
+        vpmullq   %zmm13, %zmm7, %zmm1
+        vpmullq   %zmm15, %zmm7, %zmm8
+        vpmullq   %zmm5, %zmm14, %zmm7
+        vpmullq   %zmm10, %zmm14, %zmm5
+        vpmullq   %zmm0, %zmm14, %zmm10
+        vpmullq   %zmm12, %zmm14, %zmm0
+        vpmullq   %zmm13, %zmm14, %zmm12
+        vpsrlq    $32, %zmm10, %zmm15
+        vpsrlq    $32, %zmm0, %zmm13
+        vpsrlq    $32, %zmm12, %zmm14
+        vpsrlq    $32, %zmm5, %zmm12
+        vpsrlq    $32, %zmm8, %zmm8
+        vpaddq    %zmm14, %zmm1, %zmm1
+        vpaddq    %zmm13, %zmm2, %zmm2
+        vpaddq    %zmm15, %zmm3, %zmm15
+        vpaddq    %zmm12, %zmm4, %zmm3
+        vpandq    %zmm6, %zmm0, %zmm13
+        vpaddq    %zmm1, %zmm13, %zmm4
+        vpaddq    %zmm4, %zmm8, %zmm14
+        vpsrlq    $32, %zmm14, %zmm0
+        vpandq    %zmm6, %zmm10, %zmm10
+        vpaddq    %zmm2, %zmm10, %zmm1
+        vpaddq    %zmm1, %zmm0, %zmm8
+
+/*
+ * Now round at the 2^-9 bit position for reduction mod pi/2^8
+ * instead of the original 2pi (but still with the same 2pi scaling).
+ * Use a shifter of 2^43 + 2^42.
+ * The N we get is our final version; it has an offset of
+ * 2^9 because of the implicit integer bit, and anyway for negative
+ * starting value it's a 2s complement thing. But we need to mask
+ * off the exponent part anyway so it's fine.
+ */
+        vpbroadcastq .FLT_25(%rip), %zmm1
+        vpandq    %zmm6, %zmm7, %zmm7
+        vpaddq    %zmm3, %zmm7, %zmm13
+        vpsrlq    $32, %zmm8, %zmm3
+        vpandq    %zmm6, %zmm5, %zmm5
+        vpaddq    %zmm15, %zmm5, %zmm2
+        vpaddq    %zmm2, %zmm3, %zmm15
+        vpsrlq    $32, %zmm15, %zmm12
+        vpaddq    %zmm13, %zmm12, %zmm5
+
+/* Assemble reduced argument from the pieces */
+        vpandq    %zmm6, %zmm14, %zmm10
+        vpandq    %zmm6, %zmm15, %zmm7
+        vpsllq    $32, %zmm5, %zmm6
+        vpsllq    $32, %zmm8, %zmm5
+        vpaddq    %zmm7, %zmm6, %zmm4
+        vpaddq    %zmm10, %zmm5, %zmm10
+        vpsrlq    $12, %zmm4, %zmm6
+
+/*
+ * We want to incorporate the original sign now too.
+ * Do it here for convenience in getting the right N value,
+ * though we could wait right to the end if we were prepared
+ * to modify the sign of N later too.
+ * So get the appropriate sign mask now (or sooner).
+ */
+        vpandq    .FLT_23(%rip){1to8}, %zmm11, %zmm0
+        vpandq    .FLT_28(%rip){1to8}, %zmm10, %zmm13
+        vpsllq    $28, %zmm13, %zmm14
+
+/*
+ * Create floating-point high part, implicitly adding integer bit 1
+ * Incorporate overall sign at this stage too.
+ */
+        vpxorq    .FLT_24(%rip){1to8}, %zmm0, %zmm8
+        vporq     %zmm8, %zmm6, %zmm2
+        vaddpd    {rn-sae}, %zmm2, %zmm1, %zmm12
+        vsubpd    {rn-sae}, %zmm1, %zmm12, %zmm3
+        vsubpd    {rn-sae}, %zmm3, %zmm2, %zmm7
+
+/*
+ * Create floating-point low and medium parts, respectively
+ * lo_23, ... lo_0, 0, ..., 0
+ * hi_11, ... hi_0, lo_63, ..., lo_24
+ * then subtract off the implicitly added integer bits,
+ * 2^-104 and 2^-52, respectively.
+ * Put the original sign into all of them at this stage.
+ */
+        vpxorq    .FLT_27(%rip){1to8}, %zmm0, %zmm6
+        vporq     %zmm6, %zmm14, %zmm15
+        vpandq    .FLT_30(%rip){1to8}, %zmm4, %zmm4
+        vsubpd    {rn-sae}, %zmm6, %zmm15, %zmm8
+
+/*
+ * If the magnitude of the input is <= 2^-20, then
+ * just pass through the input, since no reduction will be needed and
+ * the main path will only work accurately if the reduced argument is
+ * about >= 2^-70 (which it is for all large pi multiples)
+ */
+        vpbroadcastq .FLT_34(%rip), %zmm14
+        vandpd    .FLT_33(%rip){1to8}, %zmm11, %zmm15
+        vpsrlq    $24, %zmm10, %zmm6
+        vcmppd    $26, {sae}, %zmm14, %zmm15, %k2
+        vcmppd    $22, {sae}, %zmm14, %zmm15, %k3
+        vpxorq    .FLT_29(%rip){1to8}, %zmm0, %zmm1
+        vpsllq    $40, %zmm4, %zmm0
+        vporq     %zmm6, %zmm0, %zmm0
+        vporq     %zmm1, %zmm0, %zmm4
+        vsubpd    {rn-sae}, %zmm1, %zmm4, %zmm2
+
+/* Now add them up into 2 reasonably aligned pieces */
+        vaddpd    {rn-sae}, %zmm2, %zmm7, %zmm13
+        vsubpd    {rn-sae}, %zmm13, %zmm7, %zmm7
+        vaddpd    {rn-sae}, %zmm7, %zmm2, %zmm3
+        vaddpd    {rn-sae}, %zmm8, %zmm3, %zmm0
+        vpbroadcastq .FLT_32(%rip), %zmm8
+
+/* Grab our final N value as an integer, appropriately masked mod 2^9 */
+        vpandq    .FLT_26(%rip){1to8}, %zmm12, %zmm5
+
+/*
+ * Now multiply those numbers all by 2 pi, reasonably accurately.
+ * (RHi + RLo) * (pi_lead + pi_trail) ~=
+ * RHi * pi_lead + (RHi * pi_trail + RLo * pi_lead)
+ */
+        vpbroadcastq .FLT_31(%rip), %zmm12
+
+/* The output is _VRES_Z (high) + _VRES_E (low), and the integer part is _VRES_IND */
+        vpmovqd   %zmm5, %ymm4
+        vmulpd    {rn-sae}, %zmm12, %zmm13, %zmm6
+        vmovaps   %zmm12, %zmm10
+        vfmsub213pd {rn-sae}, %zmm6, %zmm13, %zmm10
+        vfmadd213pd {rn-sae}, %zmm10, %zmm8, %zmm13
+        vpbroadcastq .FLT_37(%rip), %zmm10
+        vfmadd213pd {rn-sae}, %zmm13, %zmm12, %zmm0
+        vpbroadcastq .FLT_36(%rip), %zmm12
+        vmovaps   %zmm9, %zmm8
+        vpandnq   %zmm15, %zmm15, %zmm8{%k2}
+        vpandnq   %zmm15, %zmm15, %zmm9{%k3}
+        vandpd    %zmm11, %zmm9, %zmm9
+        vandpd    %zmm6, %zmm8, %zmm14
+        vorpd     %zmm14, %zmm9, %zmm6
+        vandpd    %zmm0, %zmm8, %zmm9
+        vmovdqu   .FLT_35(%rip), %ymm0
+        vpsrlq    $32, %zmm6, %zmm5
+        vpmovqd   %zmm5, %ymm5
+        vpsrld    $31, %ymm5, %ymm1
+        vpsubd    %ymm1, %ymm0, %ymm2
+
+/*
+ *
+ * End of large arguments path
+ *
+ * Merge results from main and large paths:
+ */
+        vmovups   (%rsp), %zmm1
+        vpaddd    %ymm2, %ymm4, %ymm3
+        vpsrld    $4, %ymm3, %ymm14
+        vpslld    $4, %ymm14, %ymm7
+        vpmovzxdq %ymm14, %zmm1{%k1}
+        vpsubd    %ymm7, %ymm4, %ymm8
+        vcvtdq2pd %ymm8, %zmm15
+        vmovups   64(%rsp), %zmm8
+        vfmadd231pd {rn-sae}, %zmm15, %zmm10, %zmm9
+        vaddpd    {rn-sae}, %zmm6, %zmm9, %zmm13
+        vfmadd213pd {rn-sae}, %zmm13, %zmm12, %zmm15
+        vblendmpd %zmm15, %zmm8, %zmm8{%k1}
+        jmp       L(1)
+
+END(_ZGVeN8v_tan_skx)
+
+        .align    16,0x90
+
+__svml_dtan_cout_rare_internal:
+
+        cfi_startproc
+
+        xorl      %eax, %eax
+        movzwl    6(%rdi), %ecx
+        movsd     (%rdi), %xmm1
+        andl      $32752, %ecx
+        movb      7(%rdi), %dl
+        andb      $127, %dl
+        movsd     %xmm1, -8(%rsp)
+        movb      %dl, -1(%rsp)
+        cmpl      $32752, %ecx
+        je        L(8)
+        ret
+
+L(8):
+        cmpl      $0, -8(%rsp)
+        jne       L(9)
+        cmpl      $2146435072, -4(%rsp)
+        jne       L(9)
+        movsd     __dtan_la_Tab(%rip), %xmm0
+        movl      $1, %eax
+        mulsd     %xmm0, %xmm1
+        movsd     %xmm1, (%rsi)
+        ret
+
+L(9):
+        mulsd     %xmm1, %xmm1
+        movsd     %xmm1, (%rsi)
+        ret
+
+        cfi_endproc
+
+        .type	__svml_dtan_cout_rare_internal,@function
+        .size	__svml_dtan_cout_rare_internal,.-__svml_dtan_cout_rare_internal
+
+        .section .rodata, "a"
+        .align 64
+
+__svml_dtan_data_internal:
+        .long	1841940611
+        .long	1075076912
+        .long	1841940611
+        .long	1075076912
+        .long	1841940611
+        .long	1075076912
+        .long	1841940611
+        .long	1075076912
+        .long	1841940611
+        .long	1075076912
+        .long	1841940611
+        .long	1075076912
+        .long	1841940611
+        .long	1075076912
+        .long	1841940611
+        .long	1075076912
+        .long	1413754136
+        .long	1070146043
+        .long	1413754136
+        .long	1070146043
+        .long	1413754136
+        .long	1070146043
+        .long	1413754136
+        .long	1070146043
+        .long	1413754136
+        .long	1070146043
+        .long	1413754136
+        .long	1070146043
+        .long	1413754136
+        .long	1070146043
+        .long	1413754136
+        .long	1070146043
+        .long	856972294
+        .long	1013032486
+        .long	856972294
+        .long	1013032486
+        .long	856972294
+        .long	1013032486
+        .long	856972294
+        .long	1013032486
+        .long	856972294
+        .long	1013032486
+        .long	856972294
+        .long	1013032486
+        .long	856972294
+        .long	1013032486
+        .long	856972294
+        .long	1013032486
+        .long	688016905
+        .long	958143697
+        .long	688016905
+        .long	958143697
+        .long	688016905
+        .long	958143697
+        .long	688016905
+        .long	958143697
+        .long	688016905
+        .long	958143697
+        .long	688016905
+        .long	958143697
+        .long	688016905
+        .long	958143697
+        .long	688016905
+        .long	958143697
+        .long	855638016
+        .long	1013032486
+        .long	855638016
+        .long	1013032486
+        .long	855638016
+        .long	1013032486
+        .long	855638016
+        .long	1013032486
+        .long	855638016
+        .long	1013032486
+        .long	855638016
+        .long	1013032486
+        .long	855638016
+        .long	1013032486
+        .long	855638016
+        .long	1013032486
+        .long	3773204808
+        .long	979655686
+        .long	3773204808
+        .long	979655686
+        .long	3773204808
+        .long	979655686
+        .long	3773204808
+        .long	979655686
+        .long	3773204808
+        .long	979655686
+        .long	3773204808
+        .long	979655686
+        .long	3773204808
+        .long	979655686
+        .long	3773204808
+        .long	979655686
+        .long	0
+        .long	2147483648
+        .long	3763679576
+        .long	1070167541
+        .long	2583490354
+        .long	1071284857
+        .long	716700048
+        .long	1071997368
+        .long	0
+        .long	1072693248
+        .long	3797578849
+        .long	1073213976
+        .long	859807206
+        .long	1073958991
+        .long	3795994481
+        .long	1075059710
+        .long	4294967295
+        .long	4293918719
+        .long	3795994481
+        .long	3222543358
+        .long	859807206
+        .long	3221442639
+        .long	3797578849
+        .long	3220697624
+        .long	0
+        .long	3220176896
+        .long	716700048
+        .long	3219481016
+        .long	2583490354
+        .long	3218768505
+        .long	3763679576
+        .long	3217651189
+        .long	0
+        .long	2147483648
+        .long	1732516166
+        .long	1009710547
+        .long	2973134505
+        .long	1014008623
+        .long	561165941
+        .long	1015523525
+        .long	0
+        .long	0
+        .long	1767150223
+        .long	1016338938
+        .long	4129738197
+        .long	1017254245
+        .long	4275273486
+        .long	1015088902
+        .long	0
+        .long	4238344192
+        .long	4275273486
+        .long	3162572550
+        .long	4129738197
+        .long	3164737893
+        .long	1767150223
+        .long	3163822586
+        .long	0
+        .long	0
+        .long	561165941
+        .long	3163007173
+        .long	2973134505
+        .long	3161492271
+        .long	1732516166
+        .long	3157194195
+        .long	1431655900
+        .long	1070945621
+        .long	1431655900
+        .long	1070945621
+        .long	1431655900
+        .long	1070945621
+        .long	1431655900
+        .long	1070945621
+        .long	1431655900
+        .long	1070945621
+        .long	1431655900
+        .long	1070945621
+        .long	1431655900
+        .long	1070945621
+        .long	1431655900
+        .long	1070945621
+        .long	285935618
+        .long	1069617425
+        .long	285935618
+        .long	1069617425
+        .long	285935618
+        .long	1069617425
+        .long	285935618
+        .long	1069617425
+        .long	285935618
+        .long	1069617425
+        .long	285935618
+        .long	1069617425
+        .long	285935618
+        .long	1069617425
+        .long	285935618
+        .long	1069617425
+        .long	1218258378
+        .long	1068212666
+        .long	1218258378
+        .long	1068212666
+        .long	1218258378
+        .long	1068212666
+        .long	1218258378
+        .long	1068212666
+        .long	1218258378
+        .long	1068212666
+        .long	1218258378
+        .long	1068212666
+        .long	1218258378
+        .long	1068212666
+        .long	1218258378
+        .long	1068212666
+        .long	1716452265
+        .long	1066820779
+        .long	1716452265
+        .long	1066820779
+        .long	1716452265
+        .long	1066820779
+        .long	1716452265
+        .long	1066820779
+        .long	1716452265
+        .long	1066820779
+        .long	1716452265
+        .long	1066820779
+        .long	1716452265
+        .long	1066820779
+        .long	1716452265
+        .long	1066820779
+        .long	3351902813
+        .long	1065508044
+        .long	3351902813
+        .long	1065508044
+        .long	3351902813
+        .long	1065508044
+        .long	3351902813
+        .long	1065508044
+        .long	3351902813
+        .long	1065508044
+        .long	3351902813
+        .long	1065508044
+        .long	3351902813
+        .long	1065508044
+        .long	3351902813
+        .long	1065508044
+        .long	0
+        .long	1072693248
+        .long	0
+        .long	1072693248
+        .long	0
+        .long	1072693248
+        .long	0
+        .long	1072693248
+        .long	0
+        .long	1072693248
+        .long	0
+        .long	1072693248
+        .long	0
+        .long	1072693248
+        .long	0
+        .long	1072693248
+        .long	4294967295
+        .long	2147483647
+        .long	4294967295
+        .long	2147483647
+        .long	4294967295
+        .long	2147483647
+        .long	4294967295
+        .long	2147483647
+        .long	4294967295
+        .long	2147483647
+        .long	4294967295
+        .long	2147483647
+        .long	4294967295
+        .long	2147483647
+        .long	4294967295
+        .long	2147483647
+        .long	0
+        .long	2146435072
+        .long	0
+        .long	2146435072
+        .long	0
+        .long	2146435072
+        .long	0
+        .long	2146435072
+        .long	0
+        .long	2146435072
+        .long	0
+        .long	2146435072
+        .long	0
+        .long	2146435072
+        .long	0
+        .long	2146435072
+        .long	0
+        .long	1127743488
+        .long	0
+        .long	1127743488
+        .long	0
+        .long	1127743488
+        .long	0
+        .long	1127743488
+        .long	0
+        .long	1127743488
+        .long	0
+        .long	1127743488
+        .long	0
+        .long	1127743488
+        .long	0
+        .long	1127743488
+        .long	1413480448
+        .long	1065951739
+        .long	1413480448
+        .long	1065951739
+        .long	1413480448
+        .long	1065951739
+        .long	1413480448
+        .long	1065951739
+        .long	1413480448
+        .long	1065951739
+        .long	1413480448
+        .long	1065951739
+        .long	1413480448
+        .long	1065951739
+        .long	1413480448
+        .long	1065951739
+        .long	442499072
+        .long	1029747809
+        .long	442499072
+        .long	1029747809
+        .long	442499072
+        .long	1029747809
+        .long	442499072
+        .long	1029747809
+        .long	442499072
+        .long	1029747809
+        .long	442499072
+        .long	1029747809
+        .long	442499072
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+        .long	1962173430
+        .long	2126405399
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+        .long	1595388880
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+        .long	2950205382
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+        .long	1565359979
+        .long	2986015100
+        .long	2338146798
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+        .long	1590641102
+        .long	3964134231
+        .long	3130719959
+        .long	1677062904
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+        .long	4224002377
+        .long	3181282204
+        .long	3633301166
+        .long	1966472623
+        .long	3354125809
+        .long	762652602
+        .long	4153037458
+        .long	2067597113
+        .long	2971635037
+        .long	3932945247
+        .long	2413284322
+        .long	1525305205
+        .long	4011107621
+        .long	4135194227
+        .long	1648302778
+        .long	3570923199
+        .long	531601349
+        .long	3050610411
+        .long	3727247947
+        .long	3975421159
+        .long	3296605556
+        .long	2846879102
+        .long	1063202699
+        .long	1806253526
+        .long	3159528599
+        .long	3655875023
+        .long	2298243816
+        .long	1398790909
+        .long	2126405399
+        .long	3612507052
+        .long	2024089902
+        .long	3016782751
+        .long	301520336
+        .long	2797581819
+        .long	4252810799
+        .long	2930046808
+        .long	4048179805
+        .long	1738598206
+        .long	603040673
+        .long	1300196342
+        .long	4210654302
+        .long	1565126321
+        .long	3801392314
+        .long	3477196413
+        .long	1206081346
+        .long	2600392684
+        .long	4126341309
+        .long	3130252643
+        .long	3307817333
+        .long	2659425531
+        .long	2412162692
+        .long	905818072
+        .long	3957715323
+        .long	1965537991
+        .long	2320667370
+        .long	1023883767
+        .long	529358088
+        .long	1811636145
+        .long	3620463350
+        .long	3931075983
+        .long	346367444
+        .long	2047767535
+        .long	1058716176
+        .long	3623272290
+        .long	2945959404
+        .long	3567184671
+        .long	692734889
+        .long	4095535070
+        .long	2117432353
+        .long	2951577284
+        .long	1596951513
+        .long	2839402047
+        .long	1385469779
+        .long	3896102844
+        .long	4234864706
+        .long	1608187272
+        .long	3193903027
+        .long	1383836798
+        .long	2770939558
+        .long	3497238392
+        .long	4174762117
+        .long	3216374545
+        .long	2092838759
+        .long	2767673597
+        .long	1246911821
+        .long	2699509489
+        .long	4054556938
+        .long	2137781795
+        .long	4185677519
+        .long	1240379898
+        .long	2493823642
+        .long	1104051682
+        .long	3814146581
+        .long	4275563591
+        .long	4076387742
+        .long	2480759797
+        .long	692679989
+        .long	2208103365
+        .long	3333325867
+        .long	4256159887
+        .long	3857808189
+        .long	666552299
+        .long	1385359979
+        .long	121239434
+        .long	2371684438
+        .long	4217352479
+        .long	3420649082
+        .long	1333104599
+        .long	2770719959
+        .long	242478868
+        .long	448401580
+        .long	4139737663
+        .long	2546330868
+        .long	2666209199
+        .long	1246472623
+        .long	484957737
+        .long	896803160
+        .long	3984508030
+        .type	__svml_dtan_reduction_data_internal,@object
+        .size	__svml_dtan_reduction_data_internal,49152
+        .space 512, 0x00 	
+        .align 32
+
+.FLT_35:
+        .long	0x00000008,0x00000008,0x00000008,0x00000008,0x00000008,0x00000008,0x00000008,0x00000008
+        .type	.FLT_35,@object
+        .size	.FLT_35,32
+        .align 8
+
+.FLT_18:
+        .long	0xffffffff,0xffffffff
+        .type	.FLT_18,@object
+        .size	.FLT_18,8
+        .align 8
+
+.FLT_19:
+        .long	0x00000000,0x7ff00000
+        .type	.FLT_19,@object
+        .size	.FLT_19,8
+        .align 8
+
+.FLT_20:
+        .long	0xffffffff,0x000fffff
+        .type	.FLT_20,@object
+        .size	.FLT_20,8
+        .align 8
+
+.FLT_21:
+        .long	0x00000000,0x00100000
+        .type	.FLT_21,@object
+        .size	.FLT_21,8
+        .align 8
+
+.FLT_22:
+        .long	0xffffffff,0x00000000
+        .type	.FLT_22,@object
+        .size	.FLT_22,8
+        .align 8
+
+.FLT_23:
+        .long	0x00000000,0x80000000
+        .type	.FLT_23,@object
+        .size	.FLT_23,8
+        .align 8
+
+.FLT_24:
+        .long	0x00000000,0x3ff00000
+        .type	.FLT_24,@object
+        .size	.FLT_24,8
+        .align 8
+
+.FLT_25:
+        .long	0x00000000,0x42a80000
+        .type	.FLT_25,@object
+        .size	.FLT_25,8
+        .align 8
+
+.FLT_26:
+        .long	0x000001ff,0x00000000
+        .type	.FLT_26,@object
+        .size	.FLT_26,8
+        .align 8
+
+.FLT_27:
+        .long	0x00000000,0x39700000
+        .type	.FLT_27,@object
+        .size	.FLT_27,8
+        .align 8
+
+.FLT_28:
+        .long	0x00ffffff,0x00000000
+        .type	.FLT_28,@object
+        .size	.FLT_28,8
+        .align 8
+
+.FLT_29:
+        .long	0x00000000,0x3cb00000
+        .type	.FLT_29,@object
+        .size	.FLT_29,8
+        .align 8
+
+.FLT_30:
+        .long	0x00000fff,0x00000000
+        .type	.FLT_30,@object
+        .size	.FLT_30,8
+        .align 8
+
+.FLT_31:
+        .long	0x54442d18,0x401921fb
+        .type	.FLT_31,@object
+        .size	.FLT_31,8
+        .align 8
+
+.FLT_32:
+        .long	0x33145c07,0x3cb1a626
+        .type	.FLT_32,@object
+        .size	.FLT_32,8
+        .align 8
+
+.FLT_33:
+        .long	0xffffffff,0x7fffffff
+        .type	.FLT_33,@object
+        .size	.FLT_33,8
+        .align 8
+
+.FLT_34:
+        .long	0x00000000,0x3eb00000
+        .type	.FLT_34,@object
+        .size	.FLT_34,8
+        .align 8
+
+.FLT_36:
+        .long	0x54442d18,0x3f8921fb
+        .type	.FLT_36,@object
+        .size	.FLT_36,8
+        .align 8
+
+.FLT_37:
+        .long	0x33145c07,0x3c21a626
+        .type	.FLT_37,@object
+        .size	.FLT_37,8
+        .align 8
+
+__dtan_la_Tab:
+        .long	0
+        .long	0
+        .long	0
+        .long	2146435072
+        .type	__dtan_la_Tab,@object
+        .size	__dtan_la_Tab,16
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanf16_core-avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_s_tanf16_core-avx2.S
new file mode 100644
index 0000000000..f5538094ca
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanf16_core-avx2.S
@@ -0,0 +1,20 @@
+/* AVX2 version of vectorized tanf.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#define _ZGVeN16v_tanf _ZGVeN16v_tanf_avx2_wrapper
+#include "../svml_s_tanf16_core.S"
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanf16_core.c b/sysdeps/x86_64/fpu/multiarch/svml_s_tanf16_core.c
new file mode 100644
index 0000000000..b41a67c6dc
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanf16_core.c
@@ -0,0 +1,28 @@
+/* Multiple versions of vectorized tanf, vector length is 16.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#define SYMBOL_NAME _ZGVeN16v_tanf
+#include "ifunc-mathvec-avx512-skx.h"
+
+libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ());
+
+#ifdef SHARED
+__hidden_ver1 (_ZGVeN16v_tanf, __GI__ZGVeN16v_tanf,
+	       __redirect__ZGVeN16v_tanf)
+  __attribute__ ((visibility ("hidden")));
+#endif
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanf16_core_avx512.S b/sysdeps/x86_64/fpu/multiarch/svml_s_tanf16_core_avx512.S
new file mode 100644
index 0000000000..840b176031
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanf16_core_avx512.S
@@ -0,0 +1,3169 @@
+/* Function tanf vectorized with AVX-512.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   https://www.gnu.org/licenses/.  */
+
+/*
+ * ALGORITHM DESCRIPTION:
+ *
+ *      ( optimized for throughput, with small table lookup, works when HW FMA is available )
+ *
+ *       Implementation reduces argument x to |R|<pi/64
+ *       32-entry tables used to store high and low parts of tan(x0)
+ *       Argument x = N*pi + x0 + (R);   x0 = k*pi/32, with k in {0, 1, ..., 31}
+ *       (very large arguments reduction resolved in _vsreduction_core.i)
+ *       Compute result as (tan(x0) + tan(R))/(1-tan(x0)*tan(R))
+ *       _HA_ version keeps extra precision for numerator, denominator, and during
+ *       final NR-iteration computing quotient.
+ *
+ *
+ */
+
+#include <sysdep.h>
+
+        .text
+	.section .text.exex512,"ax",@progbits
+ENTRY(_ZGVeN16v_tanf_skx)
+        pushq     %rbp
+        cfi_def_cfa_offset(16)
+        movq      %rsp, %rbp
+        cfi_def_cfa(6, 16)
+        cfi_offset(6, -16)
+        andq      $-64, %rsp
+        subq      $192, %rsp
+        xorl      %edx, %edx
+
+/* Large values check */
+        vmovups   768+__svml_stan_data_internal(%rip), %zmm10
+
+/*
+ *
+ * Main path
+ *
+ * start arg. reduction
+ */
+        vmovups   1088+__svml_stan_data_internal(%rip), %zmm1
+        vmovups   64+__svml_stan_data_internal(%rip), %zmm4
+        vmovups   128+__svml_stan_data_internal(%rip), %zmm2
+        vmovups   192+__svml_stan_data_internal(%rip), %zmm3
+        vmovaps   %zmm0, %zmm11
+        vandps    960+__svml_stan_data_internal(%rip), %zmm11, %zmm0
+        vcmpps    $22, {sae}, %zmm10, %zmm0, %k1
+        vmovups   __svml_stan_data_internal(%rip), %zmm10
+
+/*
+ *
+ * End of main path
+ */
+
+        kortestw  %k1, %k1
+        vfmadd213ps {rn-sae}, %zmm1, %zmm11, %zmm10
+        vsubps    {rn-sae}, %zmm1, %zmm10, %zmm5
+        vfnmadd213ps {rn-sae}, %zmm11, %zmm5, %zmm4
+        vfnmadd231ps {rn-sae}, %zmm5, %zmm2, %zmm4
+        vfnmadd213ps {rn-sae}, %zmm4, %zmm3, %zmm5
+        jne       L(7)
+
+L(1):
+/* Table lookup */
+        vmovups   384+__svml_stan_data_internal(%rip), %zmm3
+        vmovups   640+__svml_stan_data_internal(%rip), %zmm0
+        vmulps    {rn-sae}, %zmm5, %zmm5, %zmm1
+        vpermt2ps 448+__svml_stan_data_internal(%rip), %zmm10, %zmm3
+        vmovups   704+__svml_stan_data_internal(%rip), %zmm10
+        vfmadd231ps {rn-sae}, %zmm1, %zmm10, %zmm0
+        vmulps    {rn-sae}, %zmm5, %zmm0, %zmm4
+        vfmadd213ps {rn-sae}, %zmm5, %zmm1, %zmm4
+
+/*
+ * Computer Denominator:
+ * sDenominator - sDlow ~= 1-(sTh+sTl)*(sP+sPlow)
+ */
+        vmovups   1152+__svml_stan_data_internal(%rip), %zmm5
+        vmulps    {rn-sae}, %zmm4, %zmm3, %zmm7
+
+/*
+ * Compute Numerator:
+ * sNumerator + sNlow ~= sTh+sTl+sP+sPlow
+ */
+        vaddps    {rn-sae}, %zmm3, %zmm4, %zmm8
+        vsubps    {rn-sae}, %zmm7, %zmm5, %zmm9
+        vsubps    {rn-sae}, %zmm3, %zmm8, %zmm2
+
+/*
+ * Now computes (sNumerator + sNlow)/(sDenominator - sDlow)
+ * Choose NR iteration instead of hardware division
+ */
+        vrcp14ps  %zmm9, %zmm14
+        vsubps    {rn-sae}, %zmm5, %zmm9, %zmm6
+        vsubps    {rn-sae}, %zmm2, %zmm4, %zmm13
+        vmulps    {rn-sae}, %zmm8, %zmm14, %zmm15
+        vaddps    {rn-sae}, %zmm7, %zmm6, %zmm12
+
+/* One NR iteration to refine sQuotient */
+        vfmsub213ps {rn-sae}, %zmm8, %zmm15, %zmm9
+        vfnmadd213ps {rn-sae}, %zmm9, %zmm15, %zmm12
+        vsubps    {rn-sae}, %zmm13, %zmm12, %zmm0
+        vfnmadd213ps {rn-sae}, %zmm15, %zmm14, %zmm0
+        testl     %edx, %edx
+        jne       L(3)
+
+L(2):
+        movq      %rbp, %rsp
+        popq      %rbp
+        cfi_def_cfa(7, 8)
+        cfi_restore(6)
+        ret
+        cfi_def_cfa(6, 16)
+        cfi_offset(6, -16)
+
+L(3):
+        vmovups   %zmm11, 64(%rsp)
+        vmovups   %zmm0, 128(%rsp)
+        je        L(2)
+        xorl      %eax, %eax
+        vzeroupper
+        kmovw     %k4, 24(%rsp)
+        kmovw     %k5, 16(%rsp)
+        kmovw     %k6, 8(%rsp)
+        kmovw     %k7, (%rsp)
+        movq      %rsi, 40(%rsp)
+        movq      %rdi, 32(%rsp)
+        movq      %r12, 56(%rsp)
+        .cfi_escape 0x10, 0x04, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x68, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x05, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x60, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x78, 0xff, 0xff, 0xff, 0x22
+        movl      %eax, %r12d
+        movq      %r13, 48(%rsp)
+        .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x70, 0xff, 0xff, 0xff, 0x22
+        movl      %edx, %r13d
+        .cfi_escape 0x10, 0xfa, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x58, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xfb, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xfc, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xfd, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22
+
+L(4):
+        btl       %r12d, %r13d
+        jc        L(6)
+
+L(5):
+        incl      %r12d
+        cmpl      $16, %r12d
+        jl        L(4)
+        kmovw     24(%rsp), %k4
+        cfi_restore(122)
+        kmovw     16(%rsp), %k5
+        cfi_restore(123)
+        kmovw     8(%rsp), %k6
+        cfi_restore(124)
+        kmovw     (%rsp), %k7
+        cfi_restore(125)
+        vmovups   128(%rsp), %zmm0
+        movq      40(%rsp), %rsi
+        cfi_restore(4)
+        movq      32(%rsp), %rdi
+        cfi_restore(5)
+        movq      56(%rsp), %r12
+        cfi_restore(12)
+        movq      48(%rsp), %r13
+        cfi_restore(13)
+        jmp       L(2)
+        .cfi_escape 0x10, 0x04, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x68, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x05, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x60, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x78, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x70, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xfa, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x58, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xfb, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x50, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xfc, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x48, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xfd, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22
+
+L(6):
+        lea       64(%rsp,%r12,4), %rdi
+        lea       128(%rsp,%r12,4), %rsi
+        call      __svml_stan_cout_rare_internal
+        jmp       L(5)
+        cfi_restore(4)
+        cfi_restore(5)
+        cfi_restore(12)
+        cfi_restore(13)
+        cfi_restore(122)
+        cfi_restore(123)
+        cfi_restore(124)
+        cfi_restore(125)
+
+L(7):
+        vmovups   1024+__svml_stan_data_internal(%rip), %zmm6
+
+/*
+ * Get the (2^a / 2pi) mod 1 values from the table.
+ * Because VLANG doesn't have I-type gather, we need a trivial cast
+ */
+        lea       __svml_stan_reduction_data_internal(%rip), %rax
+        vmovups   %zmm5, (%rsp)
+        vandps    %zmm0, %zmm6, %zmm14
+        vcmpps    $0, {sae}, %zmm6, %zmm14, %k0
+
+/*
+ * Break the P_xxx and m into 16-bit chunks ready for
+ * the long multiplication via 16x16->32 multiplications
+ */
+        vmovups   .FLT_18(%rip), %zmm6
+        kxnorw    %k0, %k0, %k2
+        kxnorw    %k0, %k0, %k3
+        kmovw     %k0, %edx
+        vpandd    .FLT_15(%rip), %zmm11, %zmm5
+        vpsrld    $23, %zmm5, %zmm7
+        vpslld    $1, %zmm7, %zmm8
+        vpaddd    %zmm7, %zmm8, %zmm9
+        vpslld    $2, %zmm9, %zmm4
+        vpxord    %zmm3, %zmm3, %zmm3
+        vgatherdps (%rax,%zmm4), %zmm3{%k2}
+        kxnorw    %k0, %k0, %k2
+        vpsrld    $16, %zmm3, %zmm5
+        vpxord    %zmm15, %zmm15, %zmm15
+        vpxord    %zmm2, %zmm2, %zmm2
+        vgatherdps 4(%rax,%zmm4), %zmm15{%k3}
+        vgatherdps 8(%rax,%zmm4), %zmm2{%k2}
+        vpsrld    $16, %zmm2, %zmm13
+
+/*
+ * Also get the significand as an integer
+ * NB: adding in the integer bit is wrong for denorms!
+ * To make this work for denorms we should do something slightly different
+ */
+        vpandd    .FLT_16(%rip), %zmm11, %zmm0
+        vpaddd    .FLT_17(%rip), %zmm0, %zmm1
+        vpsrld    $16, %zmm15, %zmm0
+        vpsrld    $16, %zmm1, %zmm8
+        vpandd    %zmm6, %zmm3, %zmm9
+        vpandd    %zmm6, %zmm15, %zmm12
+        vpandd    %zmm6, %zmm2, %zmm7
+        vpandd    %zmm6, %zmm1, %zmm14
+
+/* Now do the big multiplication and carry propagation */
+        vpmulld   %zmm9, %zmm8, %zmm4
+        vpmulld   %zmm0, %zmm8, %zmm3
+        vpmulld   %zmm12, %zmm8, %zmm2
+        vpmulld   %zmm13, %zmm8, %zmm1
+        vpmulld   %zmm7, %zmm8, %zmm8
+        vpmulld   %zmm5, %zmm14, %zmm7
+        vpmulld   %zmm9, %zmm14, %zmm5
+        vpmulld   %zmm0, %zmm14, %zmm9
+        vpmulld   %zmm12, %zmm14, %zmm0
+        vpmulld   %zmm13, %zmm14, %zmm12
+        vpsrld    $16, %zmm12, %zmm14
+        vpsrld    $16, %zmm0, %zmm13
+        vpsrld    $16, %zmm9, %zmm15
+        vpsrld    $16, %zmm5, %zmm12
+        vpsrld    $16, %zmm8, %zmm8
+        vpaddd    %zmm14, %zmm1, %zmm1
+        vpaddd    %zmm13, %zmm2, %zmm2
+        vpaddd    %zmm15, %zmm3, %zmm15
+        vpaddd    %zmm12, %zmm4, %zmm3
+        vpandd    %zmm6, %zmm0, %zmm13
+        vpaddd    %zmm1, %zmm13, %zmm4
+        vpaddd    %zmm4, %zmm8, %zmm14
+        vpsrld    $16, %zmm14, %zmm0
+        vpandd    %zmm6, %zmm9, %zmm9
+        vpaddd    %zmm2, %zmm9, %zmm1
+        vpaddd    %zmm1, %zmm0, %zmm8
+
+/*
+ * Now round at the 2^-8 bit position for reduction mod pi/2^7
+ * instead of the original 2pi (but still with the same 2pi scaling).
+ * Use a shifter of 2^15 + 2^14.
+ * The N we get is our final version; it has an offset of
+ * 2^8 because of the implicit integer bit, and anyway for negative
+ * starting value it's a 2s complement thing. But we need to mask
+ * off the exponent part anyway so it's fine.
+ */
+        vmovups   .FLT_21(%rip), %zmm1
+        vpandd    %zmm6, %zmm7, %zmm7
+        vpaddd    %zmm3, %zmm7, %zmm13
+        vpsrld    $16, %zmm8, %zmm3
+        vpandd    %zmm6, %zmm5, %zmm5
+        vpaddd    %zmm15, %zmm5, %zmm2
+        vpaddd    %zmm2, %zmm3, %zmm15
+        vpsrld    $16, %zmm15, %zmm12
+        vpaddd    %zmm13, %zmm12, %zmm5
+
+/* Assemble reduced argument from the pieces */
+        vpandd    %zmm6, %zmm14, %zmm9
+        vpandd    %zmm6, %zmm15, %zmm7
+        vpslld    $16, %zmm5, %zmm6
+        vpslld    $16, %zmm8, %zmm5
+        vpaddd    %zmm7, %zmm6, %zmm4
+        vpaddd    %zmm9, %zmm5, %zmm9
+        vpsrld    $9, %zmm4, %zmm6
+
+/*
+ * We want to incorporate the original sign now too.
+ * Do it here for convenience in getting the right N value,
+ * though we could wait right to the end if we were prepared
+ * to modify the sign of N later too.
+ * So get the appropriate sign mask now (or sooner).
+ */
+        vpandd    .FLT_19(%rip), %zmm11, %zmm0
+        vpandd    .FLT_24(%rip), %zmm9, %zmm13
+        vpslld    $5, %zmm13, %zmm14
+
+/*
+ * Create floating-point high part, implicitly adding integer bit 1
+ * Incorporate overall sign at this stage too.
+ */
+        vpxord    .FLT_20(%rip), %zmm0, %zmm8
+        vpord     %zmm8, %zmm6, %zmm2
+        vaddps    {rn-sae}, %zmm2, %zmm1, %zmm12
+        vsubps    {rn-sae}, %zmm1, %zmm12, %zmm3
+        vsubps    {rn-sae}, %zmm3, %zmm2, %zmm7
+
+/*
+ * Create floating-point low and medium parts, respectively
+ * lo_17, ... lo_0, 0, ..., 0
+ * hi_8, ... hi_0, lo_31, ..., lo_18
+ * then subtract off the implicitly added integer bits,
+ * 2^-46 and 2^-23, respectively.
+ * Put the original sign into all of them at this stage.
+ */
+        vpxord    .FLT_23(%rip), %zmm0, %zmm6
+        vpord     %zmm6, %zmm14, %zmm15
+        vpandd    .FLT_26(%rip), %zmm4, %zmm4
+        vsubps    {rn-sae}, %zmm6, %zmm15, %zmm8
+        vandps    .FLT_29(%rip), %zmm11, %zmm15
+        vpsrld    $18, %zmm9, %zmm6
+
+/*
+ * If the magnitude of the input is <= 2^-20, then
+ * just pass through the input, since no reduction will be needed and
+ * the main path will only work accurately if the reduced argument is
+ * about >= 2^-40 (which it is for all large pi multiples)
+ */
+        vmovups   .FLT_30(%rip), %zmm14
+        vcmpps    $26, {sae}, %zmm14, %zmm15, %k3
+        vcmpps    $22, {sae}, %zmm14, %zmm15, %k2
+        vpxord    .FLT_25(%rip), %zmm0, %zmm1
+        vpslld    $14, %zmm4, %zmm0
+        vpord     %zmm6, %zmm0, %zmm0
+        vpord     %zmm1, %zmm0, %zmm4
+        vsubps    {rn-sae}, %zmm1, %zmm4, %zmm2
+        vpternlogd $255, %zmm6, %zmm6, %zmm6
+
+/* Now add them up into 2 reasonably aligned pieces */
+        vaddps    {rn-sae}, %zmm2, %zmm7, %zmm13
+        vsubps    {rn-sae}, %zmm13, %zmm7, %zmm7
+        vaddps    {rn-sae}, %zmm7, %zmm2, %zmm3
+
+/*
+ * The output is _VRES_R (high) + _VRES_E (low), and the integer part is _VRES_IND
+ * Set sRp2 = _VRES_R^2 and then resume the original code.
+ */
+        vmovups   .FLT_31(%rip), %zmm2
+        vaddps    {rn-sae}, %zmm8, %zmm3, %zmm1
+        vmovups   .FLT_28(%rip), %zmm8
+
+/* Grab our final N value as an integer, appropriately masked mod 2^8 */
+        vpandd    .FLT_22(%rip), %zmm12, %zmm5
+
+/*
+ * Now multiply those numbers all by 2 pi, reasonably accurately.
+ * (RHi + RLo) * (pi_lead + pi_trail) ~=
+ * RHi * pi_lead + (RHi * pi_trail + RLo * pi_lead)
+ */
+        vmovups   .FLT_27(%rip), %zmm12
+        vmulps    {rn-sae}, %zmm12, %zmm13, %zmm0
+        vmovaps   %zmm12, %zmm9
+        vfmsub213ps {rn-sae}, %zmm0, %zmm13, %zmm9
+        vfmadd213ps {rn-sae}, %zmm9, %zmm8, %zmm13
+        vmovaps   %zmm6, %zmm8
+        vfmadd213ps {rn-sae}, %zmm13, %zmm12, %zmm1
+        vpandnd   %zmm15, %zmm15, %zmm8{%k3}
+        vpandnd   %zmm15, %zmm15, %zmm6{%k2}
+        vandps    %zmm11, %zmm6, %zmm14
+        vandps    %zmm0, %zmm8, %zmm15
+        vandps    %zmm1, %zmm8, %zmm12
+        vorps     %zmm15, %zmm14, %zmm6
+        vpsrld    $31, %zmm6, %zmm3
+        vpsubd    %zmm3, %zmm2, %zmm4
+        vpaddd    %zmm4, %zmm5, %zmm7
+        vpsrld    $2, %zmm7, %zmm13
+        vpslld    $2, %zmm13, %zmm9
+
+/*
+ *
+ * End of large arguments path
+ *
+ * Merge results from main and large paths:
+ */
+        vblendmps %zmm13, %zmm10, %zmm10{%k1}
+        vpsubd    %zmm9, %zmm5, %zmm5
+        vmovups   .FLT_32(%rip), %zmm9
+        vcvtdq2ps {rn-sae}, %zmm5, %zmm0
+        vmovups   .FLT_33(%rip), %zmm5
+        vfmadd231ps {rn-sae}, %zmm0, %zmm5, %zmm12
+        vmovups   (%rsp), %zmm5
+        vaddps    {rn-sae}, %zmm6, %zmm12, %zmm6
+        vfmadd213ps {rn-sae}, %zmm6, %zmm9, %zmm0
+        vblendmps %zmm0, %zmm5, %zmm5{%k1}
+        jmp       L(1)
+
+END(_ZGVeN16v_tanf_skx)
+
+        .align    16,0x90
+
+__svml_stan_cout_rare_internal:
+
+        cfi_startproc
+
+        xorl      %eax, %eax
+        movl      (%rdi), %edx
+        movzwl    2(%rdi), %ecx
+        movl      %edx, -8(%rsp)
+        andl      $32640, %ecx
+        shrl      $24, %edx
+        andl      $127, %edx
+        movb      %dl, -5(%rsp)
+        cmpl      $32640, %ecx
+        je        L(8)
+        ret
+
+L(8):
+        cmpl      $2139095040, -8(%rsp)
+        jne       L(9)
+        movss     (%rdi), %xmm0
+        movl      $1, %eax
+        mulss     __stan_la__vmlsTanTab(%rip), %xmm0
+        movss     %xmm0, (%rsi)
+        ret
+
+L(9):
+        movss     (%rdi), %xmm0
+        mulss     (%rdi), %xmm0
+        movss     %xmm0, (%rsi)
+        ret
+
+        cfi_endproc
+
+        .type	__svml_stan_cout_rare_internal,@function
+        .size	__svml_stan_cout_rare_internal,.-__svml_stan_cout_rare_internal
+
+        .section .rodata, "a"
+        .align 64
+
+.FLT_15:
+        .long	0x7f800000,0x7f800000,0x7f800000,0x7f800000,0x7f800000,0x7f800000,0x7f800000,0x7f800000,0x7f800000,0x7f800000,0x7f800000,0x7f800000,0x7f800000,0x7f800000,0x7f800000,0x7f800000
+        .type	.FLT_15,@object
+        .size	.FLT_15,64
+        .align 64
+
+.FLT_16:
+        .long	0x007fffff,0x007fffff,0x007fffff,0x007fffff,0x007fffff,0x007fffff,0x007fffff,0x007fffff,0x007fffff,0x007fffff,0x007fffff,0x007fffff,0x007fffff,0x007fffff,0x007fffff,0x007fffff
+        .type	.FLT_16,@object
+        .size	.FLT_16,64
+        .align 64
+
+.FLT_17:
+        .long	0x00800000,0x00800000,0x00800000,0x00800000,0x00800000,0x00800000,0x00800000,0x00800000,0x00800000,0x00800000,0x00800000,0x00800000,0x00800000,0x00800000,0x00800000,0x00800000
+        .type	.FLT_17,@object
+        .size	.FLT_17,64
+        .align 64
+
+.FLT_18:
+        .long	0x0000ffff,0x0000ffff,0x0000ffff,0x0000ffff,0x0000ffff,0x0000ffff,0x0000ffff,0x0000ffff,0x0000ffff,0x0000ffff,0x0000ffff,0x0000ffff,0x0000ffff,0x0000ffff,0x0000ffff,0x0000ffff
+        .type	.FLT_18,@object
+        .size	.FLT_18,64
+        .align 64
+
+.FLT_19:
+        .long	0x80000000,0x80000000,0x80000000,0x80000000,0x80000000,0x80000000,0x80000000,0x80000000,0x80000000,0x80000000,0x80000000,0x80000000,0x80000000,0x80000000,0x80000000,0x80000000
+        .type	.FLT_19,@object
+        .size	.FLT_19,64
+        .align 64
+
+.FLT_20:
+        .long	0x3f800000,0x3f800000,0x3f800000,0x3f800000,0x3f800000,0x3f800000,0x3f800000,0x3f800000,0x3f800000,0x3f800000,0x3f800000,0x3f800000,0x3f800000,0x3f800000,0x3f800000,0x3f800000
+        .type	.FLT_20,@object
+        .size	.FLT_20,64
+        .align 64
+
+.FLT_21:
+        .long	0x47400000,0x47400000,0x47400000,0x47400000,0x47400000,0x47400000,0x47400000,0x47400000,0x47400000,0x47400000,0x47400000,0x47400000,0x47400000,0x47400000,0x47400000,0x47400000
+        .type	.FLT_21,@object
+        .size	.FLT_21,64
+        .align 64
+
+.FLT_22:
+        .long	0x000000ff,0x000000ff,0x000000ff,0x000000ff,0x000000ff,0x000000ff,0x000000ff,0x000000ff,0x000000ff,0x000000ff,0x000000ff,0x000000ff,0x000000ff,0x000000ff,0x000000ff,0x000000ff
+        .type	.FLT_22,@object
+        .size	.FLT_22,64
+        .align 64
+
+.FLT_23:
+        .long	0x28800000,0x28800000,0x28800000,0x28800000,0x28800000,0x28800000,0x28800000,0x28800000,0x28800000,0x28800000,0x28800000,0x28800000,0x28800000,0x28800000,0x28800000,0x28800000
+        .type	.FLT_23,@object
+        .size	.FLT_23,64
+        .align 64
+
+.FLT_24:
+        .long	0x0003ffff,0x0003ffff,0x0003ffff,0x0003ffff,0x0003ffff,0x0003ffff,0x0003ffff,0x0003ffff,0x0003ffff,0x0003ffff,0x0003ffff,0x0003ffff,0x0003ffff,0x0003ffff,0x0003ffff,0x0003ffff
+        .type	.FLT_24,@object
+        .size	.FLT_24,64
+        .align 64
+
+.FLT_25:
+        .long	0x34000000,0x34000000,0x34000000,0x34000000,0x34000000,0x34000000,0x34000000,0x34000000,0x34000000,0x34000000,0x34000000,0x34000000,0x34000000,0x34000000,0x34000000,0x34000000
+        .type	.FLT_25,@object
+        .size	.FLT_25,64
+        .align 64
+
+.FLT_26:
+        .long	0x000001ff,0x000001ff,0x000001ff,0x000001ff,0x000001ff,0x000001ff,0x000001ff,0x000001ff,0x000001ff,0x000001ff,0x000001ff,0x000001ff,0x000001ff,0x000001ff,0x000001ff,0x000001ff
+        .type	.FLT_26,@object
+        .size	.FLT_26,64
+        .align 64
+
+.FLT_27:
+        .long	0x40c90fdb,0x40c90fdb,0x40c90fdb,0x40c90fdb,0x40c90fdb,0x40c90fdb,0x40c90fdb,0x40c90fdb,0x40c90fdb,0x40c90fdb,0x40c90fdb,0x40c90fdb,0x40c90fdb,0x40c90fdb,0x40c90fdb,0x40c90fdb
+        .type	.FLT_27,@object
+        .size	.FLT_27,64
+        .align 64
+
+.FLT_28:
+        .long	0xb43bbd2e,0xb43bbd2e,0xb43bbd2e,0xb43bbd2e,0xb43bbd2e,0xb43bbd2e,0xb43bbd2e,0xb43bbd2e,0xb43bbd2e,0xb43bbd2e,0xb43bbd2e,0xb43bbd2e,0xb43bbd2e,0xb43bbd2e,0xb43bbd2e,0xb43bbd2e
+        .type	.FLT_28,@object
+        .size	.FLT_28,64
+        .align 64
+
+.FLT_29:
+        .long	0x7fffffff,0x7fffffff,0x7fffffff,0x7fffffff,0x7fffffff,0x7fffffff,0x7fffffff,0x7fffffff,0x7fffffff,0x7fffffff,0x7fffffff,0x7fffffff,0x7fffffff,0x7fffffff,0x7fffffff,0x7fffffff
+        .type	.FLT_29,@object
+        .size	.FLT_29,64
+        .align 64
+
+.FLT_30:
+        .long	0x35800000,0x35800000,0x35800000,0x35800000,0x35800000,0x35800000,0x35800000,0x35800000,0x35800000,0x35800000,0x35800000,0x35800000,0x35800000,0x35800000,0x35800000,0x35800000
+        .type	.FLT_30,@object
+        .size	.FLT_30,64
+        .align 64
+
+.FLT_31:
+        .long	0x00000002,0x00000002,0x00000002,0x00000002,0x00000002,0x00000002,0x00000002,0x00000002,0x00000002,0x00000002,0x00000002,0x00000002,0x00000002,0x00000002,0x00000002,0x00000002
+        .type	.FLT_31,@object
+        .size	.FLT_31,64
+        .align 64
+
+.FLT_32:
+        .long	0x3cc90fdb,0x3cc90fdb,0x3cc90fdb,0x3cc90fdb,0x3cc90fdb,0x3cc90fdb,0x3cc90fdb,0x3cc90fdb,0x3cc90fdb,0x3cc90fdb,0x3cc90fdb,0x3cc90fdb,0x3cc90fdb,0x3cc90fdb,0x3cc90fdb,0x3cc90fdb
+        .type	.FLT_32,@object
+        .size	.FLT_32,64
+        .align 64
+
+.FLT_33:
+        .long	0xb03bbd2e,0xb03bbd2e,0xb03bbd2e,0xb03bbd2e,0xb03bbd2e,0xb03bbd2e,0xb03bbd2e,0xb03bbd2e,0xb03bbd2e,0xb03bbd2e,0xb03bbd2e,0xb03bbd2e,0xb03bbd2e,0xb03bbd2e,0xb03bbd2e,0xb03bbd2e
+        .type	.FLT_33,@object
+        .size	.FLT_33,64
+        .align 64
+
+__svml_stan_data_internal:
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1036586970
+        .long	1036586970
+        .long	1036586970
+        .long	1036586970
+        .long	1036586970
+        .long	1036586970
+        .long	1036586970
+        .long	1036586970
+        .long	1036586970
+        .long	1036586970
+        .long	1036586970
+        .long	1036586970
+        .long	1036586970
+        .long	1036586970
+        .long	1036586970
+        .long	1036586970
+        .long	832708968
+        .long	832708968
+        .long	832708968
+        .long	832708968
+        .long	832708968
+        .long	832708968
+        .long	832708968
+        .long	832708968
+        .long	832708968
+        .long	832708968
+        .long	832708968
+        .long	832708968
+        .long	832708968
+        .long	832708968
+        .long	832708968
+        .long	832708968
+        .long	633484485
+        .long	633484485
+        .long	633484485
+        .long	633484485
+        .long	633484485
+        .long	633484485
+        .long	633484485
+        .long	633484485
+        .long	633484485
+        .long	633484485
+        .long	633484485
+        .long	633484485
+        .long	633484485
+        .long	633484485
+        .long	633484485
+        .long	633484485
+        .long	832708608
+        .long	832708608
+        .long	832708608
+        .long	832708608
+        .long	832708608
+        .long	832708608
+        .long	832708608
+        .long	832708608
+        .long	832708608
+        .long	832708608
+        .long	832708608
+        .long	832708608
+        .long	832708608
+        .long	832708608
+        .long	832708608
+        .long	832708608
+        .long	708075802
+        .long	708075802
+        .long	708075802
+        .long	708075802
+        .long	708075802
+        .long	708075802
+        .long	708075802
+        .long	708075802
+        .long	708075802
+        .long	708075802
+        .long	708075802
+        .long	708075802
+        .long	708075802
+        .long	708075802
+        .long	708075802
+        .long	708075802
+        .long	2147483648
+        .long	1036629468
+        .long	1045147567
+        .long	1050366018
+        .long	1054086093
+        .long	1057543609
+        .long	1059786177
+        .long	1062344705
+        .long	1065353216
+        .long	1067186156
+        .long	1069519047
+        .long	1072658590
+        .long	1075479162
+        .long	1079179983
+        .long	1084284919
+        .long	1092776803
+        .long	4286578687
+        .long	3240260451
+        .long	3231768567
+        .long	3226663631
+        .long	3222962810
+        .long	3220142238
+        .long	3217002695
+        .long	3214669804
+        .long	3212836864
+        .long	3209828353
+        .long	3207269825
+        .long	3205027257
+        .long	3201569741
+        .long	3197849666
+        .long	3192631215
+        .long	3184113116
+        .long	2147483648
+        .long	826651354
+        .long	791306928
+        .long	2989111746
+        .long	2982175258
+        .long	2992568675
+        .long	850100121
+        .long	850281093
+        .long	0
+        .long	861435400
+        .long	840342808
+        .long	3003924160
+        .long	3016492578
+        .long	865099790
+        .long	856723932
+        .long	3025444934
+        .long	4085252096
+        .long	877961286
+        .long	3004207580
+        .long	3012583438
+        .long	869008930
+        .long	856440512
+        .long	2987826456
+        .long	3008919048
+        .long	0
+        .long	2997764741
+        .long	2997583769
+        .long	845085027
+        .long	834691610
+        .long	841628098
+        .long	2938790576
+        .long	2974135002
+        .long	1051372198
+        .long	1051372198
+        .long	1051372198
+        .long	1051372198
+        .long	1051372198
+        .long	1051372198
+        .long	1051372198
+        .long	1051372198
+        .long	1051372198
+        .long	1051372198
+        .long	1051372198
+        .long	1051372198
+        .long	1051372198
+        .long	1051372198
+        .long	1051372198
+        .long	1051372198
+        .long	1040758920
+        .long	1040758920
+        .long	1040758920
+        .long	1040758920
+        .long	1040758920
+        .long	1040758920
+        .long	1040758920
+        .long	1040758920
+        .long	1040758920
+        .long	1040758920
+        .long	1040758920
+        .long	1040758920
+        .long	1040758920
+        .long	1040758920
+        .long	1040758920
+        .long	1040758920
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1059256707
+        .long	1059256707
+        .long	1059256707
+        .long	1059256707
+        .long	1059256707
+        .long	1059256707
+        .long	1059256707
+        .long	1059256707
+        .long	1059256707
+        .long	1059256707
+        .long	1059256707
+        .long	1059256707
+        .long	1059256707
+        .long	1059256707
+        .long	1059256707
+        .long	1059256707
+        .long	2147483648
+        .long	2147483648
+        .long	2147483648
+        .long	2147483648
+        .long	2147483648
+        .long	2147483648
+        .long	2147483648
+        .long	2147483648
+        .long	2147483648
+        .long	2147483648
+        .long	2147483648
+        .long	2147483648
+        .long	2147483648
+        .long	2147483648
+        .long	2147483648
+        .long	2147483648
+        .long	2147483647
+        .long	2147483647
+        .long	2147483647
+        .long	2147483647
+        .long	2147483647
+        .long	2147483647
+        .long	2147483647
+        .long	2147483647
+        .long	2147483647
+        .long	2147483647
+        .long	2147483647
+        .long	2147483647
+        .long	2147483647
+        .long	2147483647
+        .long	2147483647
+        .long	2147483647
+        .long	2139095040
+        .long	2139095040
+        .long	2139095040
+        .long	2139095040
+        .long	2139095040
+        .long	2139095040
+        .long	2139095040
+        .long	2139095040
+        .long	2139095040
+        .long	2139095040
+        .long	2139095040
+        .long	2139095040
+        .long	2139095040
+        .long	2139095040
+        .long	2139095040
+        .long	2139095040
+        .long	1262485504
+        .long	1262485504
+        .long	1262485504
+        .long	1262485504
+        .long	1262485504
+        .long	1262485504
+        .long	1262485504
+        .long	1262485504
+        .long	1262485504
+        .long	1262485504
+        .long	1262485504
+        .long	1262485504
+        .long	1262485504
+        .long	1262485504
+        .long	1262485504
+        .long	1262485504
+        .long	1065353216
+        .long	1065353216
+        .long	1065353216
+        .long	1065353216
+        .long	1065353216
+        .long	1065353216
+        .long	1065353216
+        .long	1065353216
+        .long	1065353216
+        .long	1065353216
+        .long	1065353216
+        .long	1065353216
+        .long	1065353216
+        .long	1065353216
+        .long	1065353216
+        .long	1065353216
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1174470656
+        .long	1070137344
+        .long	1070137344
+        .long	1070137344
+        .long	1070137344
+        .long	1070137344
+        .long	1070137344
+        .long	1070137344
+        .long	1070137344
+        .long	1070137344
+        .long	1070137344
+        .long	1070137344
+        .long	1070137344
+        .long	1070137344
+        .long	1070137344
+        .long	1070137344
+        .long	1070137344
+        .long	972922880
+        .long	972922880
+        .long	972922880
+        .long	972922880
+        .long	972922880
+        .long	972922880
+        .long	972922880
+        .long	972922880
+        .long	972922880
+        .long	972922880
+        .long	972922880
+        .long	972922880
+        .long	972922880
+        .long	972922880
+        .long	972922880
+        .long	972922880
+        .long	866263040
+        .long	866263040
+        .long	866263040
+        .long	866263040
+        .long	866263040
+        .long	866263040
+        .long	866263040
+        .long	866263040
+        .long	866263040
+        .long	866263040
+        .long	866263040
+        .long	866263040
+        .long	866263040
+        .long	866263040
+        .long	866263040
+        .long	866263040
+        .long	741630234
+        .long	741630234
+        .long	741630234
+        .long	741630234
+        .long	741630234
+        .long	741630234
+        .long	741630234
+        .long	741630234
+        .long	741630234
+        .long	741630234
+        .long	741630234
+        .long	741630234
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+        .long	3634718287
+        .long	283381887
+        .long	2590957677
+        .long	2974469278
+        .long	566763775
+        .type	__svml_stan_reduction_data_internal,@object
+        .size	__svml_stan_reduction_data_internal,3072
+        .align 4
+
+__stan_la__vmlsTanTab:
+        .long	0
+        .long	2139095040
+        .type	__stan_la__vmlsTanTab,@object
+        .size	__stan_la__vmlsTanTab,8
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanf4_core-sse2.S b/sysdeps/x86_64/fpu/multiarch/svml_s_tanf4_core-sse2.S
new file mode 100644
index 0000000000..7ee66b1c44
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanf4_core-sse2.S
@@ -0,0 +1,20 @@
+/* SSE2 version of vectorized tanf, vector length is 4.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#define _ZGVbN4v_tanf _ZGVbN4v_tanf_sse2
+#include "../svml_s_tanf4_core.S"
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanf4_core.c b/sysdeps/x86_64/fpu/multiarch/svml_s_tanf4_core.c
new file mode 100644
index 0000000000..fb5c73d88e
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanf4_core.c
@@ -0,0 +1,28 @@
+/* Multiple versions of vectorized tanf, vector length is 4.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#define SYMBOL_NAME _ZGVbN4v_tanf
+#include "ifunc-mathvec-sse4_1.h"
+
+libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ());
+
+#ifdef SHARED
+__hidden_ver1 (_ZGVbN4v_tanf, __GI__ZGVbN4v_tanf,
+	       __redirect__ZGVbN4v_tanf)
+  __attribute__ ((visibility ("hidden")));
+#endif
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanf4_core_sse4.S b/sysdeps/x86_64/fpu/multiarch/svml_s_tanf4_core_sse4.S
new file mode 100644
index 0000000000..cc27778412
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanf4_core_sse4.S
@@ -0,0 +1,4563 @@
+/* Function tanf vectorized with SSE4.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   https://www.gnu.org/licenses/.  */
+
+/*
+ * ALGORITHM DESCRIPTION:
+ *
+ *      1) Range reduction to [-Pi/4; +Pi/4] interval
+ *         a) Grab sign from source argument and save it.
+ *         b) Remove sign using AND 0x7fffffff operation
+ *         c) Getting octant Y by 2/Pi multiplication
+ *         d) Add "Right Shifter" (0x4B000000) value
+ *         e) Treat obtained value as integer for destination sign setting.
+ *            Shift first bit of this value to the last (sign) position (S << 31)
+ *         f) Change destination sign if source sign is negative
+ *            using XOR operation.
+ *         g) Subtract "Right Shifter" (0x4B000000) value
+ *         h) Subtract Y*(PI/2) from X argument, where PI/2 divided to 4 parts:
+ *            X = X - Y*PI1 - Y*PI2 - Y*PI3 - Y*PI4;
+ *      2) Rational polynomial approximation ( at [-Pi/4; +Pi/4] interval)
+ *         a) Calculate X^2 = X * X
+ *         b) Calculate 2 polynomials:
+ *            P = X * (P0 + X^2 * P1);
+ *            Q = Q0 + X^2 * (Q1 + x^2 * Q2);
+ *         c) Swap P and Q if first bit of obtained value after
+ *            Right Shifting is set to 1. Using And, Andnot & Or operations.
+ *         d) Divide R = P / Q;
+ *      3) Destination sign setting
+ *         a) Set shifted destination sign using XOR operation:
+ *            R = XOR( R, S );
+ *
+ */
+
+#include <sysdep.h>
+
+        .text
+	.section .text.sse4,"ax",@progbits
+ENTRY(_ZGVbN4v_tanf_sse4)
+        pushq     %rbp
+        cfi_def_cfa_offset(16)
+        movq      %rsp, %rbp
+        cfi_def_cfa(6, 16)
+        cfi_offset(6, -16)
+        andq      $-64, %rsp
+        subq      $384, %rsp
+
+/*
+ * Legacy Code
+ * Here HW FMA can be unavailable
+ */
+        xorl      %r11d, %r11d
+        movups    %xmm12, 288(%rsp)
+        .cfi_escape 0x10, 0x1d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22
+        movups    960+__svml_stan_data_internal(%rip), %xmm12
+        movups    %xmm13, 256(%rsp)
+        .cfi_escape 0x10, 0x1e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 0xff, 0xff, 0xff, 0x22
+        movaps    %xmm0, %xmm13
+        movaps    %xmm12, %xmm4
+        andnps    %xmm13, %xmm12
+        movups    832+__svml_stan_data_internal(%rip), %xmm2
+        andps     %xmm13, %xmm4
+        mulps     %xmm4, %xmm2
+
+/* Range reduction */
+        movaps    %xmm4, %xmm1
+
+/*
+ *
+ * Main path (_LA_ and _EP_)
+ *
+ * Octant calculation
+ */
+        movups    1088+__svml_stan_data_internal(%rip), %xmm3
+        movups    1280+__svml_stan_data_internal(%rip), %xmm5
+        addps     %xmm3, %xmm2
+        movaps    %xmm2, %xmm0
+        movups    1344+__svml_stan_data_internal(%rip), %xmm6
+        subps     %xmm3, %xmm0
+        mulps     %xmm0, %xmm5
+        mulps     %xmm0, %xmm6
+        subps     %xmm5, %xmm1
+        movups    1408+__svml_stan_data_internal(%rip), %xmm7
+        subps     %xmm6, %xmm1
+        mulps     %xmm0, %xmm7
+        movups    1472+__svml_stan_data_internal(%rip), %xmm3
+        subps     %xmm7, %xmm1
+        mulps     %xmm0, %xmm3
+        movups    %xmm10, 272(%rsp)
+        subps     %xmm3, %xmm1
+        .cfi_escape 0x10, 0x1b, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x90, 0xff, 0xff, 0xff, 0x22
+        movaps    %xmm1, %xmm10
+        mulps     %xmm1, %xmm10
+        movups    1984+__svml_stan_data_internal(%rip), %xmm6
+        mulps     %xmm10, %xmm6
+
+/* Rational approximation */
+        movups    1792+__svml_stan_data_internal(%rip), %xmm5
+        mulps     %xmm10, %xmm5
+        addps     1920+__svml_stan_data_internal(%rip), %xmm6
+        mulps     %xmm6, %xmm10
+        addps     1728+__svml_stan_data_internal(%rip), %xmm5
+        movups    %xmm8, 336(%rsp)
+        movups    %xmm14, 224(%rsp)
+        .cfi_escape 0x10, 0x19, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xd0, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x1f, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x60, 0xff, 0xff, 0xff, 0x22
+        pxor      %xmm8, %xmm8
+
+/* Inversion mask and sign calculation */
+        movaps    %xmm2, %xmm14
+        pslld     $30, %xmm2
+        cmpneqps  %xmm8, %xmm2
+        mulps     %xmm5, %xmm1
+        addps     1856+__svml_stan_data_internal(%rip), %xmm10
+        movups    %xmm9, 304(%rsp)
+
+/* Exchanged numerator and denominator if necessary */
+        movaps    %xmm2, %xmm0
+        .cfi_escape 0x10, 0x1a, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22
+        movaps    %xmm2, %xmm9
+        andnps    %xmm1, %xmm0
+        andps     %xmm10, %xmm9
+        andps     %xmm2, %xmm1
+        andnps    %xmm10, %xmm2
+        orps      %xmm9, %xmm0
+        orps      %xmm2, %xmm1
+        pslld     $31, %xmm14
+
+/* Division */
+        divps     %xmm1, %xmm0
+        movups    %xmm11, 240(%rsp)
+        .cfi_escape 0x10, 0x1c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x70, 0xff, 0xff, 0xff, 0x22
+
+/* Large values check */
+        movaps    %xmm4, %xmm11
+        cmpnleps  1216+__svml_stan_data_internal(%rip), %xmm11
+        movmskps  %xmm11, %eax
+        pxor      %xmm12, %xmm14
+        movups    %xmm15, 320(%rsp)
+
+/* Sign setting */
+        pxor      %xmm14, %xmm0
+
+/*
+ *
+ * End of main path (_LA_ and _EP_)
+ */
+
+        testl     %eax, %eax
+        jne       L(7)
+        .cfi_escape 0x10, 0x20, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x22
+
+L(1):
+        testl     %r11d, %r11d
+        jne       L(3)
+
+L(2):
+        movups    336(%rsp), %xmm8
+        cfi_restore(25)
+        movups    304(%rsp), %xmm9
+        cfi_restore(26)
+        movups    272(%rsp), %xmm10
+        cfi_restore(27)
+        movups    240(%rsp), %xmm11
+        cfi_restore(28)
+        movups    288(%rsp), %xmm12
+        cfi_restore(29)
+        movups    256(%rsp), %xmm13
+        cfi_restore(30)
+        movups    224(%rsp), %xmm14
+        cfi_restore(31)
+        movups    320(%rsp), %xmm15
+        cfi_restore(32)
+        movq      %rbp, %rsp
+        popq      %rbp
+        cfi_def_cfa(7, 8)
+        cfi_restore(6)
+        ret
+        cfi_def_cfa(6, 16)
+        cfi_offset(6, -16)
+        .cfi_escape 0x10, 0x19, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xd0, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x1a, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xb0, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x1b, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x90, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x1c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x70, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x1d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x1e, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x1f, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x60, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x20, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x22
+
+L(3):
+        movups    %xmm13, 64(%rsp)
+        movups    %xmm0, 128(%rsp)
+        je        L(2)
+        xorl      %eax, %eax
+        movq      %rsi, 8(%rsp)
+        movq      %rdi, (%rsp)
+        movq      %r12, 24(%rsp)
+        .cfi_escape 0x10, 0x04, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x88, 0xfe, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x05, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 0xfe, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x98, 0xfe, 0xff, 0xff, 0x22
+        movl      %eax, %r12d
+        movq      %r13, 16(%rsp)
+        .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x90, 0xfe, 0xff, 0xff, 0x22
+        movl      %r11d, %r13d
+
+L(4):
+        btl       %r12d, %r13d
+        jc        L(6)
+
+L(5):
+        incl      %r12d
+        cmpl      $4, %r12d
+        jl        L(4)
+        movq      8(%rsp), %rsi
+        cfi_restore(4)
+        movq      (%rsp), %rdi
+        cfi_restore(5)
+        movq      24(%rsp), %r12
+        cfi_restore(12)
+        movq      16(%rsp), %r13
+        cfi_restore(13)
+        movups    128(%rsp), %xmm0
+        jmp       L(2)
+        .cfi_escape 0x10, 0x04, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x88, 0xfe, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x05, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 0xfe, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x98, 0xfe, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x90, 0xfe, 0xff, 0xff, 0x22
+
+L(6):
+        lea       64(%rsp,%r12,4), %rdi
+        lea       128(%rsp,%r12,4), %rsi
+        call      __svml_stan_cout_rare_internal
+        jmp       L(5)
+        cfi_restore(4)
+        cfi_restore(5)
+        cfi_restore(12)
+        cfi_restore(13)
+
+L(7):
+        movl      $2139095040, %r11d
+
+/*
+ * Get the (2^a / 2pi) mod 1 values from the table.
+ * Because VLANG doesn't have I-type gather, we need a trivial cast
+ */
+        lea       __svml_stan_reduction_data_internal(%rip), %r10
+        movups    %xmm13, 64(%rsp)
+
+/*
+ * Also get the significand as an integer
+ * NB: adding in the integer bit is wrong for denorms!
+ * To make this work for denorms we should do something slightly different
+ */
+        movl      $8388607, %eax
+        movups    %xmm12, 80(%rsp)
+        movups    %xmm11, 96(%rsp)
+        movd      %r11d, %xmm3
+        pshufd    $0, %xmm3, %xmm2
+        andps     %xmm2, %xmm13
+        cmpeqps   %xmm2, %xmm13
+        pand      %xmm4, %xmm2
+        psrld     $23, %xmm2
+        movdqa    %xmm2, %xmm12
+        pslld     $1, %xmm12
+        paddd     %xmm2, %xmm12
+        pslld     $2, %xmm12
+        pshufd    $1, %xmm12, %xmm10
+        pshufd    $2, %xmm12, %xmm11
+        pshufd    $3, %xmm12, %xmm14
+        movd      %xmm12, %r9d
+        movd      %xmm10, %r8d
+        movd      %xmm11, %edx
+        movd      %eax, %xmm11
+        movd      %xmm14, %ecx
+        movd      4(%r9,%r10), %xmm6
+        movd      4(%r8,%r10), %xmm7
+        movd      4(%rdx,%r10), %xmm3
+
+/*
+ * Create floating-point high part, implicitly adding integer bit 1
+ * Incorporate overall sign at this stage too.
+ */
+        movl      $1065353216, %eax
+        movd      4(%rcx,%r10), %xmm5
+        punpckldq %xmm7, %xmm6
+        punpckldq %xmm5, %xmm3
+        movd      (%rcx,%r10), %xmm1
+        movd      8(%rcx,%r10), %xmm10
+
+/*
+ * We want to incorporate the original sign now too.
+ * Do it here for convenience in getting the right N value,
+ * though we could wait right to the end if we were prepared
+ * to modify the sign of N later too.
+ * So get the appropriate sign mask now (or sooner).
+ */
+        movl      $-2147483648, %ecx
+        movmskps  %xmm13, %r11d
+        movd      (%r9,%r10), %xmm9
+        movd      (%r8,%r10), %xmm8
+        movd      8(%r8,%r10), %xmm2
+
+/*
+ * Now round at the 2^-8 bit position for reduction mod pi/2^7
+ * instead of the original 2pi (but still with the same 2pi scaling).
+ * Use a shifter of 2^15 + 2^14.
+ * The N we get is our final version; it has an offset of
+ * 2^8 because of the implicit integer bit, and anyway for negative
+ * starting value it's a 2s complement thing. But we need to mask
+ * off the exponent part anyway so it's fine.
+ */
+        movl      $1195376640, %r8d
+        movd      (%rdx,%r10), %xmm15
+        movd      8(%rdx,%r10), %xmm13
+
+/*
+ * Break the P_xxx and m into 16-bit chunks ready for
+ * the long multiplication via 16x16->32 multiplications
+ */
+        movl      $65535, %edx
+        punpcklqdq %xmm3, %xmm6
+        movd      8(%r9,%r10), %xmm3
+        movl      $8388608, %r10d
+        punpckldq %xmm2, %xmm3
+
+/*
+ * Create floating-point low and medium parts, respectively
+ * lo_17, ... lo_0, 0, ..., 0
+ * hi_8, ... hi_0, lo_31, ..., lo_18
+ * then subtract off the implicitly added integer bits,
+ * 2^-46 and 2^-23, respectively.
+ * Put the original sign into all of them at this stage.
+ */
+        movl      $679477248, %r9d
+        punpckldq %xmm10, %xmm13
+        punpcklqdq %xmm13, %xmm3
+        pshufd    $0, %xmm11, %xmm13
+        movdqa    %xmm3, %xmm2
+        movups    %xmm4, 48(%rsp)
+        pand      %xmm4, %xmm13
+        movd      %r10d, %xmm4
+        psrld     $16, %xmm2
+        movups    %xmm0, 112(%rsp)
+        movd      %edx, %xmm0
+        pshufd    $0, %xmm4, %xmm12
+        movdqa    %xmm2, %xmm4
+        punpckldq %xmm8, %xmm9
+        paddd     %xmm12, %xmm13
+        punpckldq %xmm1, %xmm15
+        movdqa    %xmm13, %xmm12
+        pshufd    $0, %xmm0, %xmm8
+        movdqa    %xmm6, %xmm0
+        punpcklqdq %xmm15, %xmm9
+        pand      %xmm8, %xmm13
+        movdqa    %xmm9, %xmm14
+        pand      %xmm8, %xmm9
+        movdqa    %xmm13, %xmm10
+        psrld     $16, %xmm14
+        movdqu    %xmm14, 128(%rsp)
+
+/* Now do the big multiplication and carry propagation */
+        movdqa    %xmm9, %xmm14
+        psrlq     $32, %xmm10
+        psrlq     $32, %xmm14
+        movdqa    %xmm13, %xmm15
+        movdqa    %xmm10, %xmm7
+        pmuludq   %xmm9, %xmm15
+        psrld     $16, %xmm0
+        pmuludq   %xmm14, %xmm7
+        movdqu    %xmm9, 144(%rsp)
+        psllq     $32, %xmm7
+        movdqu    .FLT_19(%rip), %xmm9
+        pand      %xmm8, %xmm6
+        pand      %xmm9, %xmm15
+        psrld     $16, %xmm12
+        movdqa    %xmm0, %xmm1
+        por       %xmm7, %xmm15
+        movdqa    %xmm13, %xmm7
+        pand      %xmm8, %xmm3
+        movdqu    %xmm0, 160(%rsp)
+        movdqa    %xmm12, %xmm11
+        movdqu    %xmm15, 208(%rsp)
+        psrlq     $32, %xmm1
+        pmuludq   %xmm0, %xmm7
+        movdqa    %xmm6, %xmm5
+        movdqa    %xmm10, %xmm15
+        movdqa    %xmm12, %xmm0
+        movdqu    %xmm14, 176(%rsp)
+        psrlq     $32, %xmm11
+        movdqu    %xmm1, 192(%rsp)
+        psrlq     $32, %xmm5
+        pmuludq   %xmm1, %xmm15
+        movdqa    %xmm13, %xmm1
+        pmuludq   %xmm3, %xmm0
+        pmuludq   %xmm6, %xmm1
+        pmuludq   %xmm12, %xmm6
+        movdqa    %xmm10, %xmm14
+        psrlq     $32, %xmm3
+        pmuludq   %xmm5, %xmm14
+        pand      %xmm9, %xmm1
+        pmuludq   %xmm11, %xmm3
+        pmuludq   %xmm11, %xmm5
+        psllq     $32, %xmm14
+        pand      %xmm9, %xmm0
+        psllq     $32, %xmm3
+        psrlq     $32, %xmm4
+        por       %xmm14, %xmm1
+        por       %xmm3, %xmm0
+        movdqa    %xmm12, %xmm14
+        movdqa    %xmm11, %xmm3
+        pmuludq   %xmm2, %xmm14
+        pand      %xmm9, %xmm7
+        pmuludq   %xmm4, %xmm3
+        pmuludq   %xmm13, %xmm2
+        pmuludq   %xmm10, %xmm4
+        pand      %xmm9, %xmm2
+        psllq     $32, %xmm4
+        psllq     $32, %xmm15
+        pand      %xmm9, %xmm14
+        psllq     $32, %xmm3
+        por       %xmm4, %xmm2
+        por       %xmm15, %xmm7
+        por       %xmm3, %xmm14
+        psrld     $16, %xmm2
+        pand      %xmm9, %xmm6
+        psllq     $32, %xmm5
+        movdqa    %xmm1, %xmm15
+        paddd     %xmm2, %xmm14
+        movdqa    %xmm7, %xmm2
+        por       %xmm5, %xmm6
+        psrld     $16, %xmm1
+        pand      %xmm8, %xmm2
+        paddd     %xmm1, %xmm6
+        movdqu    160(%rsp), %xmm1
+        paddd     %xmm6, %xmm2
+        movdqu    192(%rsp), %xmm6
+        psrld     $16, %xmm7
+        pmuludq   %xmm12, %xmm1
+        pand      %xmm8, %xmm15
+        pmuludq   %xmm11, %xmm6
+        pmuludq   144(%rsp), %xmm12
+        pmuludq   176(%rsp), %xmm11
+        pand      %xmm9, %xmm1
+        psllq     $32, %xmm6
+        por       %xmm6, %xmm1
+        psrld     $16, %xmm0
+        paddd     %xmm7, %xmm1
+        paddd     %xmm14, %xmm15
+        movdqu    128(%rsp), %xmm7
+        paddd     %xmm15, %xmm0
+        pmuludq   %xmm7, %xmm13
+        psrlq     $32, %xmm7
+        pmuludq   %xmm7, %xmm10
+        movdqa    %xmm0, %xmm14
+        pand      %xmm9, %xmm13
+        movdqu    208(%rsp), %xmm5
+        psrld     $16, %xmm14
+        paddd     %xmm2, %xmm14
+        movdqa    %xmm5, %xmm15
+        movdqa    %xmm14, %xmm3
+        pand      %xmm8, %xmm15
+        psrld     $16, %xmm3
+        paddd     %xmm1, %xmm15
+        psllq     $32, %xmm10
+        pand      %xmm9, %xmm12
+        psllq     $32, %xmm11
+        paddd     %xmm15, %xmm3
+        por       %xmm10, %xmm13
+        por       %xmm11, %xmm12
+        psrld     $16, %xmm5
+        movdqa    %xmm3, %xmm4
+        pand      %xmm8, %xmm13
+        paddd     %xmm5, %xmm12
+        psrld     $16, %xmm4
+        paddd     %xmm12, %xmm13
+        paddd     %xmm13, %xmm4
+        pand      %xmm8, %xmm3
+        pslld     $16, %xmm4
+        movd      %ecx, %xmm9
+        movups    48(%rsp), %xmm15
+        paddd     %xmm3, %xmm4
+        pshufd    $0, %xmm9, %xmm7
+
+/* Assemble reduced argument from the pieces */
+        pand      %xmm8, %xmm0
+        movd      %eax, %xmm8
+        pand      %xmm15, %xmm7
+        pshufd    $0, %xmm8, %xmm1
+        movdqa    %xmm4, %xmm5
+        psrld     $9, %xmm5
+        pxor      %xmm7, %xmm1
+        por       %xmm1, %xmm5
+        movd      %r8d, %xmm6
+        pshufd    $0, %xmm6, %xmm3
+        movdqa    %xmm5, %xmm6
+        movl      $511, %ecx
+        movl      $262143, %r10d
+        movl      $872415232, %edx
+        pslld     $16, %xmm14
+        paddd     %xmm0, %xmm14
+        movd      %r9d, %xmm10
+        pshufd    $0, %xmm10, %xmm0
+
+/*
+ * Now multiply those numbers all by 2 pi, reasonably accurately.
+ * The top part uses 2pi = s2pi_lead + s2pi_trail, where
+ * s2pi_lead has 12 significant bits.
+ */
+        movl      $1086918619, %eax
+        movd      %ecx, %xmm13
+        movd      %r10d, %xmm9
+        pshufd    $0, %xmm13, %xmm1
+        movd      %edx, %xmm11
+        pshufd    $0, %xmm9, %xmm8
+        pand      %xmm4, %xmm1
+        pshufd    $0, %xmm11, %xmm12
+        pand      %xmm14, %xmm8
+        pslld     $14, %xmm1
+        psrld     $18, %xmm14
+        pxor      %xmm7, %xmm0
+        pxor      %xmm12, %xmm7
+        por       %xmm14, %xmm1
+        pslld     $5, %xmm8
+        por       %xmm7, %xmm1
+
+/* Split RHi into 12-bit leading and trailing parts. */
+        movl      $-4096, %r10d
+        por       %xmm0, %xmm8
+        movl      $1086918656, %r8d
+        movd      %eax, %xmm14
+        movl      $-1214941318, %r9d
+
+/*
+ * If the magnitude of the input is <= 2^-20, then
+ * just pass through the input, since no reduction will be needed and
+ * the main path will only work accurately if the reduced argument is
+ * about >= 2^-40 (which it is for all large pi multiples)
+ */
+        movl      $2147483647, %edx
+        movl      $897581056, %ecx
+        movd      %r10d, %xmm4
+
+/* Grab our final N value as an integer, appropriately masked mod 2^8 */
+        movl      $255, %eax
+        addps     %xmm3, %xmm6
+        subps     %xmm7, %xmm1
+        subps     %xmm0, %xmm8
+        movaps    %xmm6, %xmm2
+        movd      %r8d, %xmm7
+
+/*
+ * The output is _VRES_R (high) + _VRES_E (low), and the integer part is _VRES_IND
+ * Set sRp2 = _VRES_R^2 and then resume the original code.
+ * Argument reduction is now finished: x = n * pi/128 + r
+ * where n = iIndex and r = sR (high) + sE (low).
+ * But we have n modulo 256, needed for sin/cos with period 2pi
+ * but we want it modulo 128 since tan has period pi.
+ */
+        movl      $127, %r8d
+        subps     %xmm3, %xmm2
+        subps     %xmm2, %xmm5
+        pshufd    $0, %xmm14, %xmm2
+
+/* Now add them up into 2 reasonably aligned pieces */
+        movaps    %xmm5, %xmm3
+        pshufd    $0, %xmm4, %xmm14
+        movd      %ecx, %xmm4
+        pshufd    $0, %xmm4, %xmm9
+        addps     %xmm1, %xmm3
+        movdqa    %xmm9, %xmm11
+        subps     %xmm3, %xmm5
+
+/*  Load constants (not all needed at once)  */
+        lea       2148+__svml_stan_data_internal(%rip), %rcx
+        addps     %xmm5, %xmm1
+        movd      %r9d, %xmm5
+        addps     %xmm1, %xmm8
+        pshufd    $0, %xmm7, %xmm1
+        movdqa    %xmm14, %xmm7
+        andps     %xmm3, %xmm7
+
+/*
+ * Do the multiplication as exact top part and "naive" low part.
+ * This still maintains a similar level of offset and doesn't drop
+ * the accuracy much below what we already have.
+ */
+        movdqa    %xmm1, %xmm10
+        pshufd    $0, %xmm5, %xmm5
+        subps     %xmm7, %xmm3
+        mulps     %xmm7, %xmm10
+        mulps     %xmm5, %xmm7
+        mulps     %xmm3, %xmm1
+        mulps     %xmm8, %xmm2
+        mulps     %xmm3, %xmm5
+        addps     %xmm7, %xmm1
+        addps     %xmm5, %xmm2
+        movd      %edx, %xmm8
+        addps     %xmm2, %xmm1
+
+/*
+ * Do another stage of compensated summation to get full offset
+ * between the pieces sRedHi + sRedLo.
+ * Depending on the later algorithm, we might avoid this stage.
+ */
+        movaps    %xmm1, %xmm0
+        pshufd    $0, %xmm8, %xmm8
+        addps     %xmm10, %xmm0
+        andps     %xmm15, %xmm8
+        subps     %xmm0, %xmm10
+        cmpltps   %xmm8, %xmm11
+        cmpleps   %xmm9, %xmm8
+        addps     %xmm10, %xmm1
+        andps     %xmm15, %xmm8
+        movd      %eax, %xmm15
+        andps     %xmm11, %xmm0
+        andps     %xmm1, %xmm11
+        pshufd    $0, %xmm15, %xmm1
+        movd      %r8d, %xmm15
+        pshufd    $0, %xmm15, %xmm7
+        pand      %xmm1, %xmm6
+        pand      %xmm7, %xmm6
+        orps      %xmm0, %xmm8
+        movaps    %xmm6, %xmm4
+
+/*
+ * Simply combine the two parts of the reduced argument
+ * since we can afford a few ulps in this case.
+ */
+        addps     %xmm11, %xmm8
+        pslld     $2, %xmm4
+        paddd     %xmm6, %xmm4
+        pslld     $3, %xmm4
+        pshufd    $1, %xmm4, %xmm6
+        pshufd    $2, %xmm4, %xmm5
+        pshufd    $3, %xmm4, %xmm3
+        movd      %xmm4, %edx
+        movd      %xmm6, %eax
+        movd      %xmm5, %r9d
+        movd      %xmm3, %r10d
+        movd      -32(%rdx,%rcx), %xmm15
+        movd      -32(%rax,%rcx), %xmm12
+        movd      -32(%r9,%rcx), %xmm7
+        movd      -32(%r10,%rcx), %xmm13
+        punpckldq %xmm12, %xmm15
+        punpckldq %xmm13, %xmm7
+        movd      -28(%r10,%rcx), %xmm5
+        punpcklqdq %xmm7, %xmm15
+        movd      -28(%rdx,%rcx), %xmm7
+        movd      -28(%rax,%rcx), %xmm6
+        movd      -28(%r9,%rcx), %xmm4
+        movd      -36(%r9,%rcx), %xmm9
+        movd      -36(%rdx,%rcx), %xmm1
+        movd      -36(%rax,%rcx), %xmm2
+        movd      -24(%rax,%rcx), %xmm3
+        movd      -36(%r10,%rcx), %xmm10
+        punpckldq %xmm6, %xmm7
+        punpckldq %xmm5, %xmm4
+        movd      -24(%rdx,%rcx), %xmm6
+        punpckldq %xmm2, %xmm1
+        punpckldq %xmm10, %xmm9
+        punpcklqdq %xmm4, %xmm7
+        movd      -16(%rdx,%rcx), %xmm4
+        punpckldq %xmm3, %xmm6
+        movd      -24(%r9,%rcx), %xmm10
+        movd      -16(%r9,%rcx), %xmm3
+        movd      -24(%r10,%rcx), %xmm2
+        movd      -16(%r10,%rcx), %xmm13
+        movd      -16(%rax,%rcx), %xmm12
+        punpcklqdq %xmm9, %xmm1
+        movd      -20(%rax,%rcx), %xmm9
+        punpckldq %xmm2, %xmm10
+        movd      -20(%rdx,%rcx), %xmm5
+        punpckldq %xmm12, %xmm4
+        punpckldq %xmm13, %xmm3
+        punpcklqdq %xmm10, %xmm6
+        punpckldq %xmm9, %xmm5
+        punpcklqdq %xmm3, %xmm4
+        movd      -12(%rdx,%rcx), %xmm3
+        movd      -12(%rax,%rcx), %xmm2
+        movd      -12(%r9,%rcx), %xmm9
+        movd      -12(%r10,%rcx), %xmm10
+        punpckldq %xmm2, %xmm3
+        punpckldq %xmm10, %xmm9
+        movd      -20(%r10,%rcx), %xmm0
+        movd      -20(%r9,%rcx), %xmm11
+        punpcklqdq %xmm9, %xmm3
+        movd      -4(%r9,%rcx), %xmm9
+        movd      -4(%r10,%rcx), %xmm13
+        punpckldq %xmm0, %xmm11
+        punpckldq %xmm13, %xmm9
+
+/*
+ *  Compute 2-part reciprocal component
+ * Construct a separate reduced argument modulo pi near pi/2 multiples.
+ * i.e. (pi/2 - x) mod pi, simply by subtracting the reduced argument
+ * from an accurate B_hi + B_lo = (128 - n) pi/128. Force the upper part
+ * of this reduced argument to half-length to simplify accurate
+ * reciprocation later on.
+ */
+        movdqa    %xmm1, %xmm13
+        punpcklqdq %xmm11, %xmm5
+        subps     %xmm8, %xmm13
+        movd      -8(%r10,%rcx), %xmm11
+        subps     %xmm13, %xmm1
+        movd      -8(%rdx,%rcx), %xmm10
+        subps     %xmm8, %xmm1
+        movd      -8(%rax,%rcx), %xmm0
+        movd      -8(%r9,%rcx), %xmm2
+        punpckldq %xmm0, %xmm10
+        punpckldq %xmm11, %xmm2
+        punpcklqdq %xmm2, %xmm10
+        movups    %xmm10, 32(%rsp)
+        movd      (%rdx,%rcx), %xmm10
+        movd      (%rax,%rcx), %xmm0
+        movd      -4(%rax,%rcx), %xmm12
+        movd      -4(%rdx,%rcx), %xmm2
+        punpckldq %xmm0, %xmm10
+        movdqa    %xmm14, %xmm0
+        punpckldq %xmm12, %xmm2
+        andps     %xmm13, %xmm0
+        punpcklqdq %xmm9, %xmm2
+        subps     %xmm0, %xmm13
+
+/*
+ * Now compute an approximate reciprocal to mix into the computation
+ * To avoid any danger of nonportability, force it to 12 bits,
+ * though I suspect it always is anyway on current platforms.
+ */
+        rcpps     %xmm0, %xmm9
+        addps     %xmm13, %xmm15
+        andps     %xmm14, %xmm9
+        addps     %xmm15, %xmm1
+        mulps     %xmm9, %xmm0
+        movd      (%r9,%rcx), %xmm12
+
+/*
+ * Get a better approximation to  1/sR_hi (not far short of an ulp)
+ * using a third-order polynomial approximation
+ */
+        movaps    %xmm9, %xmm14
+        movd      (%r10,%rcx), %xmm11
+
+/*
+ * Now compute the error sEr where sRecip_hi = (1/R_hi) * (1 - sEr)
+ * so that we can compensate for it.
+ */
+        movups    1152+__svml_stan_data_internal(%rip), %xmm15
+        punpckldq %xmm11, %xmm12
+        movaps    %xmm15, %xmm11
+        punpcklqdq %xmm12, %xmm10
+        subps     %xmm0, %xmm11
+        mulps     %xmm11, %xmm14
+        movups    %xmm11, (%rsp)
+        addps     %xmm9, %xmm14
+        mulps     %xmm11, %xmm11
+        movups    %xmm11, 16(%rsp)
+        movups    112(%rsp), %xmm0
+        movups    96(%rsp), %xmm11
+        movups    80(%rsp), %xmm12
+        movups    64(%rsp), %xmm13
+
+/*
+ *  Compensated sum of dominant component(s)
+ * Compute C0_hi + C1_hi * Z + Recip_hi + Recip_lo = H4 (hi) + H9 (lo)
+ * H1 = C1_hi * Z (exact since C1_hi is 1 bit)
+ */
+        mulps     %xmm8, %xmm4
+        addps     16(%rsp), %xmm15
+
+/* Finally, multiplex both parts so they are only used in cotangent path */
+        mulps     %xmm7, %xmm9
+
+/* P4 = C3 + C4 * Z */
+        mulps     %xmm8, %xmm10
+        mulps     %xmm15, %xmm14
+        addps     %xmm10, %xmm2
+
+/*
+ * Multiply by sRecip_ok to make sR_lo relative to sR_hi
+ * Since sR_lo is shifted off by about 12 bits, this is accurate enough.
+ */
+        mulps     %xmm14, %xmm1
+
+/*
+ * Now create a low reciprocal using
+ * (Recip_hi + Er * Recip_ok) * (1 + sR_lo^2 - sR_lo)
+ * =~= Recip_hi + Recip_ok * (Er + sR_lo^2 - sR_lo)
+ */
+        movaps    %xmm1, %xmm15
+        mulps     %xmm1, %xmm1
+        subps     (%rsp), %xmm15
+        subps     %xmm15, %xmm1
+        mulps     %xmm1, %xmm14
+        mulps     %xmm14, %xmm7
+
+/* H2 = high(C0_hi + C1_hi * Z) */
+        movdqa    %xmm6, %xmm14
+        addps     %xmm4, %xmm14
+
+/* H4 = high(H2 + Recip_hi) */
+        movaps    %xmm14, %xmm1
+
+/* intermediate in compensated sum */
+        subps     %xmm14, %xmm6
+        addps     %xmm9, %xmm1
+
+/* H5 = low(C0_hi + C1_hi * Z) */
+        addps     %xmm6, %xmm4
+
+/* intermediate in compensated sum */
+        subps     %xmm1, %xmm9
+
+/* H7 = low(C0_hi + C1_hi * Z) + Recip_lo */
+        addps     %xmm4, %xmm7
+
+/* H8 = low(H2 + Recip_hi) */
+        addps     %xmm9, %xmm14
+
+/*
+ *  Higher polynomial terms
+ * Stage 1 (with unlimited parallelism)
+ * P3 = C1_lo + C2 * Z
+ */
+        movups    32(%rsp), %xmm4
+
+/* Z2 = Z^2 */
+        movaps    %xmm8, %xmm6
+        mulps     %xmm8, %xmm4
+
+/* Now H4 + H9 should be that part */
+        addps     %xmm14, %xmm7
+        mulps     %xmm8, %xmm6
+        addps     %xmm4, %xmm3
+
+/* P9 = trail(dominant part) + C0_lo */
+        addps     %xmm7, %xmm5
+
+/*
+ * Stage 2 (with unlimited parallelism)
+ * P6 = C1_lo + C2 * Z + C3 * Z^2 + C4 * Z^3
+ */
+        mulps     %xmm6, %xmm2
+        addps     %xmm2, %xmm3
+
+/* Merge results from main and large paths: */
+        movaps    %xmm11, %xmm2
+
+/* Final accumulation of low part */
+        mulps     %xmm3, %xmm8
+        andnps    %xmm0, %xmm2
+        movaps    %xmm2, %xmm0
+        addps     %xmm8, %xmm5
+
+/* And now the very final summation */
+        addps     %xmm5, %xmm1
+
+/*
+ *  The end of implementation (LA with huge args reduction)
+ * End of large arguments path (_HA_, _LA_ and _EP_)
+ */
+
+        pxor      %xmm12, %xmm1
+        andps     %xmm11, %xmm1
+        orps      %xmm1, %xmm0
+        jmp       L(1)
+
+END(_ZGVbN4v_tanf_sse4)
+
+        .align    16,0x90
+
+__svml_stan_cout_rare_internal:
+
+        cfi_startproc
+
+        xorl      %eax, %eax
+        movl      (%rdi), %edx
+        movzwl    2(%rdi), %ecx
+        movl      %edx, -8(%rsp)
+        andl      $32640, %ecx
+        shrl      $24, %edx
+        andl      $127, %edx
+        movb      %dl, -5(%rsp)
+        cmpl      $32640, %ecx
+        je        L(8)
+        ret
+
+L(8):
+        cmpl      $2139095040, -8(%rsp)
+        jne       L(9)
+        movss     (%rdi), %xmm0
+        movl      $1, %eax
+        mulss     __stan_la__vmlsTanTab(%rip), %xmm0
+        movss     %xmm0, (%rsi)
+        ret
+
+L(9):
+        movss     (%rdi), %xmm0
+        mulss     (%rdi), %xmm0
+        movss     %xmm0, (%rsi)
+        ret
+
+        cfi_endproc
+
+        .type	__svml_stan_cout_rare_internal,@function
+        .size	__svml_stan_cout_rare_internal,.-__svml_stan_cout_rare_internal
+
+        .section .rodata, "a"
+        .align 64
+
+__svml_stan_data_internal:
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .long	1036586970
+        .long	1036586970
+        .long	1036586970
+        .long	1036586970
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .long	832708968
+        .long	832708968
+        .long	832708968
+        .long	832708968
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .long	633484485
+        .long	633484485
+        .long	633484485
+        .long	633484485
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .long	832708608
+        .long	832708608
+        .long	832708608
+        .long	832708608
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
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+        .long	1011060801
+        .long	3932797825
+        .long	3066374962
+        .long	2022121603
+        .long	3570628355
+        .long	1837782628
+        .long	4044243207
+        .long	2846289414
+        .long	3675565257
+        .long	3793519119
+        .long	1397611533
+        .long	3056163219
+        .long	3292070943
+        .long	2795223067
+        .long	1817359143
+        .long	2289174591
+        .long	1295478838
+        .long	3634718287
+        .long	283381887
+        .long	2590957677
+        .long	2974469278
+        .long	566763775
+        .type	__svml_stan_reduction_data_internal,@object
+        .size	__svml_stan_reduction_data_internal,3072
+        .align 16
+
+.FLT_19:
+        .long	0xffffffff,0x00000000,0xffffffff,0x00000000
+        .type	.FLT_19,@object
+        .size	.FLT_19,16
+        .align 4
+
+__stan_la__vmlsTanTab:
+        .long	0
+        .long	2139095040
+        .type	__stan_la__vmlsTanTab,@object
+        .size	__stan_la__vmlsTanTab,8
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanf8_core-sse.S b/sysdeps/x86_64/fpu/multiarch/svml_s_tanf8_core-sse.S
new file mode 100644
index 0000000000..a3d3b97a4b
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanf8_core-sse.S
@@ -0,0 +1,20 @@
+/* SSE version of vectorized tanf, vector length is 8.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+    Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#define _ZGVdN8v_tanf _ZGVdN8v_tanf_sse_wrapper
+#include "../svml_s_tanf8_core.S"
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanf8_core.c b/sysdeps/x86_64/fpu/multiarch/svml_s_tanf8_core.c
new file mode 100644
index 0000000000..350dd72cba
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanf8_core.c
@@ -0,0 +1,28 @@
+/* Multiple versions of vectorized tanf, vector length is 8.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#define SYMBOL_NAME _ZGVdN8v_tanf
+#include "ifunc-mathvec-avx2.h"
+
+libc_ifunc_redirected (REDIRECT_NAME, SYMBOL_NAME, IFUNC_SELECTOR ());
+
+#ifdef SHARED
+__hidden_ver1 (_ZGVdN8v_tanf, __GI__ZGVdN8v_tanf,
+	       __redirect__ZGVdN8v_tanf)
+  __attribute__ ((visibility ("hidden")));
+#endif
diff --git a/sysdeps/x86_64/fpu/multiarch/svml_s_tanf8_core_avx2.S b/sysdeps/x86_64/fpu/multiarch/svml_s_tanf8_core_avx2.S
new file mode 100644
index 0000000000..534e50a7f1
--- /dev/null
+++ b/sysdeps/x86_64/fpu/multiarch/svml_s_tanf8_core_avx2.S
@@ -0,0 +1,4193 @@
+/* Function tanf vectorized with AVX2.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   https://www.gnu.org/licenses/.  */
+
+/*
+ * ALGORITHM DESCRIPTION:
+ *
+ *      1) Range reduction to [-Pi/4; +Pi/4] interval
+ *         a) Grab sign from source argument and save it.
+ *         b) Remove sign using AND 0x7fffffff operation
+ *         c) Getting octant Y by 2/Pi multiplication
+ *         d) Add "Right Shifter" (0x4B000000) value
+ *         e) Treat obtained value as integer for destination sign setting.
+ *            Shift first bit of this value to the last (sign) position (S << 31)
+ *         f) Change destination sign if source sign is negative
+ *            using XOR operation.
+ *         g) Subtract "Right Shifter" (0x4B000000) value
+ *         h) Subtract Y*(PI/2) from X argument, where PI/2 divided to 4 parts:
+ *            X = X - Y*PI1 - Y*PI2 - Y*PI3 - Y*PI4;
+ *      2) Rational polynomial approximation ( at [-Pi/4; +Pi/4] interval)
+ *         a) Calculate X^2 = X * X
+ *         b) Calculate 2 polynomials:
+ *            P = X * (P0 + X^2 * P1);
+ *            Q = Q0 + X^2 * (Q1 + x^2 * Q2);
+ *         c) Swap P and Q if first bit of obtained value after
+ *            Right Shifting is set to 1. Using And, Andnot & Or operations.
+ *         d) Divide R = P / Q;
+ *      3) Destination sign setting
+ *         a) Set shifted destination sign using XOR operation:
+ *            R = XOR( R, S );
+ *
+ */
+
+#include <sysdep.h>
+
+        .text
+	.section .text.avx2,"ax",@progbits
+ENTRY(_ZGVdN8v_tanf_avx2)
+        pushq     %rbp
+        cfi_def_cfa_offset(16)
+        movq      %rsp, %rbp
+        cfi_def_cfa(6, 16)
+        cfi_offset(6, -16)
+        andq      $-64, %rsp
+        pushq     %rsi
+        pushq     %rdi
+        pushq     %r12
+        subq      $424, %rsp
+
+/*
+ * Legacy Code
+ * Here HW FMA can be unavailable
+ */
+        xorl      %eax, %eax
+        vmovups   960+__svml_stan_data_internal(%rip), %ymm1
+        vmovups   %ymm8, 160(%rsp)
+
+/*
+ *
+ * Main path (_LA_ and _EP_)
+ *
+ * Octant calculation
+ */
+        vmovups   1088+__svml_stan_data_internal(%rip), %ymm5
+        .cfi_escape 0x10, 0x04, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xf8, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x05, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xf0, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xe8, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xdb, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xe0, 0xfe, 0xff, 0xff, 0x22
+        vmovups   832+__svml_stan_data_internal(%rip), %ymm8
+
+/* Range reduction */
+        vmovups   1536+__svml_stan_data_internal(%rip), %ymm6
+        vmovups   %ymm15, 384(%rsp)
+        vmovups   %ymm10, 224(%rsp)
+        .cfi_escape 0x10, 0xdd, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x20, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xe2, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x22
+        vmovups   1984+__svml_stan_data_internal(%rip), %ymm15
+        vmovups   %ymm13, 320(%rsp)
+        vmovups   %ymm9, 192(%rsp)
+        vmovups   %ymm14, 352(%rsp)
+        vmovups   %ymm12, 288(%rsp)
+        vmovups   %ymm11, 256(%rsp)
+        vmovaps   %ymm0, %ymm4
+        vandps    %ymm1, %ymm4, %ymm3
+        .cfi_escape 0x10, 0xdc, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x00, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xde, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xdf, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x60, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xe0, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xe1, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22
+        vfmadd213ps %ymm5, %ymm3, %ymm8
+        vsubps    %ymm5, %ymm8, %ymm5
+
+/* Inversion mask and sign calculation */
+        vpslld    $31, %ymm8, %ymm7
+        vfnmadd213ps %ymm3, %ymm5, %ymm6
+        vfnmadd231ps 1600+__svml_stan_data_internal(%rip), %ymm5, %ymm6
+        vfnmadd132ps 1664+__svml_stan_data_internal(%rip), %ymm6, %ymm5
+
+/* Rational approximation */
+        vmovups   1792+__svml_stan_data_internal(%rip), %ymm6
+        vmulps    %ymm5, %ymm5, %ymm10
+        vfmadd213ps 1728+__svml_stan_data_internal(%rip), %ymm10, %ymm6
+        vfmadd213ps 1920+__svml_stan_data_internal(%rip), %ymm10, %ymm15
+        vmulps    %ymm6, %ymm5, %ymm13
+        vfmadd213ps 1856+__svml_stan_data_internal(%rip), %ymm10, %ymm15
+        vandnps   %ymm4, %ymm1, %ymm2
+        vxorps    %ymm2, %ymm7, %ymm0
+        vpslld    $30, %ymm8, %ymm7
+
+/* Large values check */
+        vcmpnle_uqps 1216+__svml_stan_data_internal(%rip), %ymm3, %ymm1
+        vxorps    %ymm9, %ymm9, %ymm9
+        vcmpneqps %ymm9, %ymm7, %ymm14
+
+/* Exchanged numerator and denominator if necessary */
+        vandnps   %ymm13, %ymm14, %ymm11
+        vandps    %ymm15, %ymm14, %ymm12
+        vandps    %ymm13, %ymm14, %ymm13
+        vandnps   %ymm15, %ymm14, %ymm14
+        vorps     %ymm12, %ymm11, %ymm5
+        vorps     %ymm14, %ymm13, %ymm6
+
+/* Division */
+        vdivps    %ymm6, %ymm5, %ymm7
+        vmovmskps %ymm1, %edx
+
+/* Sign setting */
+        vxorps    %ymm0, %ymm7, %ymm0
+
+/*
+ *
+ * End of main path (_LA_ and _EP_)
+ */
+
+        testl     %edx, %edx
+        jne       L(7)
+
+L(1):
+        testl     %eax, %eax
+        jne       L(3)
+
+L(2):
+        vmovups   160(%rsp), %ymm8
+        cfi_restore(91)
+        vmovups   192(%rsp), %ymm9
+        cfi_restore(92)
+        vmovups   224(%rsp), %ymm10
+        cfi_restore(93)
+        vmovups   256(%rsp), %ymm11
+        cfi_restore(94)
+        vmovups   288(%rsp), %ymm12
+        cfi_restore(95)
+        vmovups   320(%rsp), %ymm13
+        cfi_restore(96)
+        vmovups   352(%rsp), %ymm14
+        cfi_restore(97)
+        vmovups   384(%rsp), %ymm15
+        cfi_restore(98)
+        addq      $424, %rsp
+        cfi_restore(12)
+        popq      %r12
+        cfi_restore(5)
+        popq      %rdi
+        cfi_restore(4)
+        popq      %rsi
+        movq      %rbp, %rsp
+        popq      %rbp
+        cfi_def_cfa(7, 8)
+        cfi_restore(6)
+        ret
+        cfi_def_cfa(6, 16)
+        cfi_offset(6, -16)
+        .cfi_escape 0x10, 0x04, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xf8, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x05, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xf0, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0x0c, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xe8, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xdb, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xe0, 0xfe, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xdc, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x00, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xdd, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x20, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xde, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xdf, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x60, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xe0, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x80, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xe1, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xa0, 0xff, 0xff, 0xff, 0x22
+        .cfi_escape 0x10, 0xe2, 0x00, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x22
+
+L(3):
+        vmovups   %ymm4, 64(%rsp)
+        vmovups   %ymm0, 128(%rsp)
+        je        L(2)
+        xorl      %r12d, %r12d
+        vzeroupper
+        movq      %r13, (%rsp)
+        .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xfe, 0xff, 0xff, 0x22
+        movl      %eax, %r13d
+
+L(4):
+        btl       %r12d, %r13d
+        jc        L(6)
+
+L(5):
+        incl      %r12d
+        cmpl      $8, %r12d
+        jl        L(4)
+        movq      (%rsp), %r13
+        cfi_restore(13)
+        vmovups   128(%rsp), %ymm0
+        jmp       L(2)
+        .cfi_escape 0x10, 0x0d, 0x0e, 0x38, 0x1c, 0x0d, 0xc0, 0xff, 0xff, 0xff, 0x1a, 0x0d, 0x40, 0xfe, 0xff, 0xff, 0x22
+
+L(6):
+        lea       64(%rsp,%r12,4), %rdi
+        lea       128(%rsp,%r12,4), %rsi
+        call      __svml_stan_cout_rare_internal
+        jmp       L(5)
+        cfi_restore(13)
+
+L(7):
+        vmovups   %ymm0, 96(%rsp)
+
+/*
+ * Get the (2^a / 2pi) mod 1 values from the table.
+ * Because VLANG doesn't have I-type gather, we need a trivial cast
+ */
+        lea       __svml_stan_reduction_data_internal(%rip), %rdx
+        vmovups   %ymm1, 64(%rsp)
+        vmovups   .FLT_18(%rip), %ymm1
+        vmovups   %ymm2, 32(%rsp)
+        vpand     .FLT_19(%rip), %ymm3, %ymm0
+        vpsrld    $23, %ymm0, %ymm13
+        vpslld    $1, %ymm13, %ymm6
+        vpaddd    %ymm13, %ymm6, %ymm9
+        vpslld    $2, %ymm9, %ymm8
+        vandps    %ymm1, %ymm4, %ymm12
+        vcmpeqps  %ymm1, %ymm12, %ymm5
+        vmovmskps %ymm5, %eax
+        vextractf128 $1, %ymm8, %xmm1
+        vmovd     %xmm8, %ecx
+        vmovd     %xmm1, %r9d
+        vmovd     (%rcx,%rdx), %xmm14
+        vpextrd   $1, %xmm8, %esi
+        vpextrd   $2, %xmm8, %edi
+        vpextrd   $3, %xmm8, %r8d
+        vpextrd   $1, %xmm1, %r11d
+        vpextrd   $2, %xmm1, %r10d
+        vpextrd   $3, %xmm1, %r12d
+        vmovd     (%rsi,%rdx), %xmm11
+        vmovd     (%rdi,%rdx), %xmm10
+        vmovd     (%r8,%rdx), %xmm15
+        vmovd     (%r9,%rdx), %xmm5
+        vmovd     (%r11,%rdx), %xmm0
+        vmovd     (%r10,%rdx), %xmm6
+        vmovd     (%r12,%rdx), %xmm13
+        vpunpckldq %xmm11, %xmm14, %xmm12
+        vpunpckldq %xmm15, %xmm10, %xmm7
+        vpunpckldq %xmm0, %xmm5, %xmm9
+        vpunpckldq %xmm13, %xmm6, %xmm8
+        vpunpcklqdq %xmm7, %xmm12, %xmm2
+        vmovd     4(%rcx,%rdx), %xmm11
+        vmovd     4(%rsi,%rdx), %xmm10
+        vmovd     4(%rdi,%rdx), %xmm15
+        vmovd     4(%r8,%rdx), %xmm12
+        vpunpcklqdq %xmm8, %xmm9, %xmm14
+        vmovd     4(%r9,%rdx), %xmm0
+        vmovd     4(%r11,%rdx), %xmm13
+        vmovd     4(%r10,%rdx), %xmm9
+        vmovd     4(%r12,%rdx), %xmm8
+        vpunpckldq %xmm10, %xmm11, %xmm7
+        vpunpckldq %xmm12, %xmm15, %xmm1
+        vpunpckldq %xmm8, %xmm9, %xmm11
+        vpunpcklqdq %xmm1, %xmm7, %xmm5
+        vmovd     8(%rdi,%rdx), %xmm7
+        vmovd     8(%r8,%rdx), %xmm1
+        vmovd     8(%rcx,%rdx), %xmm15
+        vmovd     8(%rsi,%rdx), %xmm12
+        vmovd     8(%r9,%rdx), %xmm8
+        vinsertf128 $1, %xmm14, %ymm2, %ymm6
+        vpunpckldq %xmm13, %xmm0, %xmm14
+        vpunpcklqdq %xmm11, %xmm14, %xmm10
+        vpunpckldq %xmm1, %xmm7, %xmm13
+
+/*
+ * Also get the significand as an integer
+ * NB: adding in the integer bit is wrong for denorms!
+ * To make this work for denorms we should do something slightly different
+ */
+        vpand     .FLT_20(%rip), %ymm3, %ymm1
+        vmovd     8(%r11,%rdx), %xmm14
+        vmovd     8(%r10,%rdx), %xmm11
+        vpunpckldq %xmm12, %xmm15, %xmm0
+        vpunpckldq %xmm14, %xmm8, %xmm15
+
+/*  Load constants (not all needed at once)  */
+        lea       2148+__svml_stan_data_internal(%rip), %r10
+        vpunpcklqdq %xmm13, %xmm0, %xmm9
+        vpaddd    .FLT_21(%rip), %ymm1, %ymm0
+        vinsertf128 $1, %xmm10, %ymm5, %ymm2
+        vmovd     8(%r12,%rdx), %xmm10
+        vpunpckldq %xmm10, %xmm11, %xmm12
+        vpunpcklqdq %xmm12, %xmm15, %xmm7
+
+/*
+ * Break the P_xxx and m into 16-bit chunks ready for
+ * the long multiplication via 16x16->32 multiplications
+ */
+        vmovdqu   .FLT_22(%rip), %ymm12
+        vpsrld    $16, %ymm0, %ymm5
+        vpsrld    $16, %ymm2, %ymm11
+        vpand     %ymm12, %ymm0, %ymm0
+        vpand     %ymm12, %ymm2, %ymm8
+        vpand     %ymm12, %ymm6, %ymm1
+        vpsrld    $16, %ymm6, %ymm6
+        vpmulld   %ymm11, %ymm0, %ymm14
+        vpmulld   %ymm1, %ymm0, %ymm2
+        vpmulld   %ymm11, %ymm5, %ymm11
+        vinsertf128 $1, %xmm7, %ymm9, %ymm7
+        vpsrld    $16, %ymm7, %ymm13
+        vpand     %ymm12, %ymm7, %ymm10
+        vpmulld   %ymm13, %ymm5, %ymm7
+        vpmulld   %ymm13, %ymm0, %ymm13
+        vpsrld    $16, %ymm13, %ymm13
+        vpmulld   %ymm8, %ymm0, %ymm9
+        vpmulld   %ymm10, %ymm5, %ymm15
+        vpand     %ymm12, %ymm9, %ymm10
+        vpaddd    %ymm13, %ymm7, %ymm7
+        vpsrld    $16, %ymm15, %ymm15
+        vpsrld    $16, %ymm9, %ymm9
+        vpaddd    %ymm7, %ymm10, %ymm10
+        vpmulld   %ymm8, %ymm5, %ymm8
+        vpaddd    %ymm10, %ymm15, %ymm7
+        vpand     %ymm12, %ymm14, %ymm10
+        vpaddd    %ymm9, %ymm8, %ymm9
+        vpsrld    $16, %ymm14, %ymm14
+        vpsrld    $16, %ymm7, %ymm13
+        vpaddd    %ymm9, %ymm10, %ymm8
+        vpand     %ymm12, %ymm2, %ymm9
+        vpaddd    %ymm8, %ymm13, %ymm10
+        vpaddd    %ymm14, %ymm11, %ymm13
+        vpsrld    $16, %ymm2, %ymm14
+        vpsrld    $16, %ymm10, %ymm8
+        vpaddd    %ymm13, %ymm9, %ymm9
+        vpslld    $16, %ymm10, %ymm10
+        vpaddd    %ymm9, %ymm8, %ymm13
+        vpmulld   %ymm6, %ymm0, %ymm9
+
+/* Now do the big multiplication and carry propagation */
+        vpmulld   %ymm1, %ymm5, %ymm8
+        vpand     %ymm12, %ymm9, %ymm11
+        vpaddd    %ymm14, %ymm8, %ymm0
+        vpsrld    $16, %ymm13, %ymm15
+        vpand     %ymm12, %ymm13, %ymm13
+
+/*
+ * We want to incorporate the original sign now too.
+ * Do it here for convenience in getting the right N value,
+ * though we could wait right to the end if we were prepared
+ * to modify the sign of N later too.
+ * So get the appropriate sign mask now (or sooner).
+ */
+        vpand     .FLT_23(%rip), %ymm3, %ymm14
+        vpaddd    %ymm0, %ymm11, %ymm1
+
+/* Assemble reduced argument from the pieces */
+        vpand     %ymm12, %ymm7, %ymm5
+
+/*
+ * Now round at the 2^-8 bit position for reduction mod pi/2^7
+ * instead of the original 2pi (but still with the same 2pi scaling).
+ * Use a shifter of 2^15 + 2^14.
+ * The N we get is our final version; it has an offset of
+ * 2^8 because of the implicit integer bit, and anyway for negative
+ * starting value it's a 2s complement thing. But we need to mask
+ * off the exponent part anyway so it's fine.
+ */
+        vmovups   .FLT_25(%rip), %ymm12
+        vpaddd    %ymm1, %ymm15, %ymm15
+
+/*
+ * Create floating-point high part, implicitly adding integer bit 1
+ * Incorporate overall sign at this stage too.
+ */
+        vpxor     .FLT_24(%rip), %ymm14, %ymm7
+        vpaddd    %ymm5, %ymm10, %ymm8
+        vpslld    $16, %ymm15, %ymm2
+        vpand     .FLT_27(%rip), %ymm8, %ymm15
+        vpsrld    $18, %ymm8, %ymm8
+        vpaddd    %ymm13, %ymm2, %ymm11
+
+/*
+ * Create floating-point low and medium parts, respectively
+ * lo_17, ... lo_0, 0, ..., 0
+ * hi_8, ... hi_0, lo_31, ..., lo_18
+ * then subtract off the implicitly added integer bits,
+ * 2^-46 and 2^-23, respectively.
+ * Put the original sign into all of them at this stage.
+ */
+        vpxor     .FLT_26(%rip), %ymm14, %ymm2
+        vpslld    $5, %ymm15, %ymm0
+        vpsrld    $9, %ymm11, %ymm6
+        vpor      %ymm2, %ymm0, %ymm1
+        vpor      %ymm7, %ymm6, %ymm13
+        vpxor     .FLT_28(%rip), %ymm14, %ymm7
+        vpand     .FLT_29(%rip), %ymm11, %ymm14
+        vaddps    %ymm12, %ymm13, %ymm9
+        vsubps    %ymm2, %ymm1, %ymm15
+        vpslld    $14, %ymm14, %ymm11
+
+/*
+ * If the magnitude of the input is <= 2^-20, then
+ * just pass through the input, since no reduction will be needed and
+ * the main path will only work accurately if the reduced argument is
+ * about >= 2^-40 (which it is for all large pi multiples)
+ */
+        vmovups   .FLT_33(%rip), %ymm1
+        vsubps    %ymm12, %ymm9, %ymm10
+        vpor      %ymm8, %ymm11, %ymm5
+
+/* Grab our final N value as an integer, appropriately masked mod 2^8 */
+        vpand     .FLT_34(%rip), %ymm9, %ymm9
+
+/*
+ * Now multiply those numbers all by 2 pi, reasonably accurately.
+ * (RHi + RLo) * (pi_lead + pi_trail) ~=
+ * RHi * pi_lead + (RHi * pi_trail + RLo * pi_lead)
+ */
+        vmovups   .FLT_30(%rip), %ymm11
+        vpor      %ymm7, %ymm5, %ymm6
+        vsubps    %ymm10, %ymm13, %ymm13
+        vsubps    %ymm7, %ymm6, %ymm12
+
+/* Now add them up into 2 reasonably aligned pieces */
+        vaddps    %ymm12, %ymm13, %ymm10
+        vmulps    %ymm10, %ymm11, %ymm5
+        vsubps    %ymm10, %ymm13, %ymm13
+        vmovaps   %ymm11, %ymm14
+        vfmsub213ps %ymm5, %ymm10, %ymm14
+        vaddps    %ymm13, %ymm12, %ymm8
+        vfmadd132ps .FLT_31(%rip), %ymm14, %ymm10
+        vaddps    %ymm8, %ymm15, %ymm15
+        vfmadd213ps %ymm10, %ymm11, %ymm15
+
+/*
+ * The output is _VRES_R (high) + _VRES_E (low), and the integer part is _VRES_IND
+ * Set sRp2 = _VRES_R^2 and then resume the original code.
+ * Argument reduction is now finished: x = n * pi/128 + r
+ * where n = iIndex and r = sR (high) + sE (low).
+ * But we have n modulo 256, needed for sin/cos with period 2pi
+ * but we want it modulo 128 since tan has period pi.
+ */
+        vpand     .FLT_35(%rip), %ymm9, %ymm10
+        vpslld    $2, %ymm10, %ymm11
+        vandps    .FLT_32(%rip), %ymm3, %ymm0
+        vcmpgt_oqps %ymm1, %ymm0, %ymm6
+        vcmple_oqps %ymm1, %ymm0, %ymm2
+        vpaddd    %ymm10, %ymm11, %ymm0
+        vpslld    $3, %ymm0, %ymm1
+        vandps    %ymm3, %ymm2, %ymm3
+        vandps    %ymm5, %ymm6, %ymm13
+        vorps     %ymm13, %ymm3, %ymm8
+        vandps    %ymm15, %ymm6, %ymm14
+
+/*
+ * Simply combine the two parts of the reduced argument
+ * since we can afford a few ulps in this case.
+ */
+        vaddps    %ymm14, %ymm8, %ymm13
+        vextractf128 $1, %ymm1, %xmm14
+        vmovd     %xmm1, %r11d
+        vmovd     %xmm14, %esi
+        vmovd     -36(%r11,%r10), %xmm2
+        vmovd     -32(%r11,%r10), %xmm6
+        vpextrd   $1, %xmm1, %r9d
+        vpextrd   $2, %xmm1, %r8d
+        vpextrd   $3, %xmm1, %edi
+        vpextrd   $1, %xmm14, %ecx
+        vpextrd   $2, %xmm14, %edx
+        vpextrd   $3, %xmm14, %r12d
+        vmovd     -36(%r9,%r10), %xmm3
+        vmovd     -36(%r8,%r10), %xmm5
+        vmovd     -36(%rdi,%r10), %xmm7
+        vmovd     -36(%rsi,%r10), %xmm11
+        vmovd     -36(%rcx,%r10), %xmm10
+        vmovd     -36(%rdx,%r10), %xmm0
+        vmovd     -36(%r12,%r10), %xmm1
+        vpunpckldq %xmm3, %xmm2, %xmm12
+        vpunpckldq %xmm7, %xmm5, %xmm9
+        vpunpckldq %xmm10, %xmm11, %xmm2
+        vpunpckldq %xmm1, %xmm0, %xmm3
+        vpunpcklqdq %xmm9, %xmm12, %xmm8
+        vpunpcklqdq %xmm3, %xmm2, %xmm5
+        vmovd     -32(%r9,%r10), %xmm7
+        vmovd     -32(%r8,%r10), %xmm12
+        vmovd     -32(%rdi,%r10), %xmm15
+        vmovd     -32(%rsi,%r10), %xmm10
+        vmovd     -32(%rcx,%r10), %xmm0
+        vmovd     -32(%rdx,%r10), %xmm1
+        vmovd     -32(%r12,%r10), %xmm2
+        vpunpckldq %xmm15, %xmm12, %xmm14
+        vpunpckldq %xmm0, %xmm10, %xmm3
+        vmovd     -28(%r9,%r10), %xmm12
+        vmovd     -28(%r8,%r10), %xmm15
+        vinsertf128 $1, %xmm5, %ymm8, %ymm9
+        vpunpckldq %xmm7, %xmm6, %xmm8
+        vpunpckldq %xmm2, %xmm1, %xmm5
+        vpunpcklqdq %xmm14, %xmm8, %xmm11
+        vpunpcklqdq %xmm5, %xmm3, %xmm6
+        vmovd     -28(%r11,%r10), %xmm7
+        vmovd     -28(%rdi,%r10), %xmm14
+        vmovd     -28(%rsi,%r10), %xmm1
+        vmovd     -28(%rcx,%r10), %xmm2
+        vmovd     -28(%rdx,%r10), %xmm3
+        vmovd     -28(%r12,%r10), %xmm5
+        vpunpckldq %xmm14, %xmm15, %xmm10
+        vmovd     -24(%r11,%r10), %xmm15
+        vinsertf128 $1, %xmm6, %ymm11, %ymm8
+        vpunpckldq %xmm12, %xmm7, %xmm11
+        vpunpckldq %xmm2, %xmm1, %xmm6
+        vpunpckldq %xmm5, %xmm3, %xmm7
+        vpunpcklqdq %xmm10, %xmm11, %xmm0
+        vpunpcklqdq %xmm7, %xmm6, %xmm12
+        vmovd     -24(%r9,%r10), %xmm11
+        vmovd     -24(%r8,%r10), %xmm10
+        vmovd     -24(%rsi,%r10), %xmm5
+        vmovd     -24(%rcx,%r10), %xmm6
+        vmovd     -24(%rdx,%r10), %xmm7
+        vpunpckldq %xmm11, %xmm15, %xmm1
+        vpunpckldq %xmm6, %xmm5, %xmm15
+        vmovd     -20(%rdi,%r10), %xmm5
+        vinsertf128 $1, %xmm12, %ymm0, %ymm14
+        vmovd     -24(%rdi,%r10), %xmm0
+        vmovd     -24(%r12,%r10), %xmm12
+        vpunpckldq %xmm0, %xmm10, %xmm2
+        vpunpckldq %xmm12, %xmm7, %xmm11
+        vpunpcklqdq %xmm2, %xmm1, %xmm3
+        vpunpcklqdq %xmm11, %xmm15, %xmm10
+        vmovd     -20(%r11,%r10), %xmm0
+        vmovd     -20(%r9,%r10), %xmm1
+        vmovd     -20(%rsi,%r10), %xmm15
+        vmovd     -20(%r8,%r10), %xmm2
+        vpunpckldq %xmm1, %xmm0, %xmm6
+        vmovd     -20(%r12,%r10), %xmm0
+        vpunpckldq %xmm5, %xmm2, %xmm7
+        vpunpcklqdq %xmm7, %xmm6, %xmm12
+        vmovd     -16(%r11,%r10), %xmm6
+        vmovd     -16(%r9,%r10), %xmm7
+        vinsertf128 $1, %xmm10, %ymm3, %ymm11
+        vmovd     -20(%rcx,%r10), %xmm10
+        vpunpckldq %xmm10, %xmm15, %xmm1
+        vmovd     -20(%rdx,%r10), %xmm15
+        vpunpckldq %xmm0, %xmm15, %xmm2
+        vpunpcklqdq %xmm2, %xmm1, %xmm3
+        vmovd     -16(%r8,%r10), %xmm10
+        vmovd     -16(%rdi,%r10), %xmm0
+        vpunpckldq %xmm7, %xmm6, %xmm1
+        vmovd     -16(%rcx,%r10), %xmm6
+        vmovd     -16(%rdx,%r10), %xmm7
+        vpunpckldq %xmm0, %xmm10, %xmm2
+        vinsertf128 $1, %xmm3, %ymm12, %ymm5
+        vmovups   %ymm5, (%rsp)
+        vmovd     -16(%rsi,%r10), %xmm5
+        vmovd     -16(%r12,%r10), %xmm12
+        vpunpckldq %xmm6, %xmm5, %xmm15
+        vpunpckldq %xmm12, %xmm7, %xmm10
+        vpunpcklqdq %xmm2, %xmm1, %xmm3
+        vpunpcklqdq %xmm10, %xmm15, %xmm0
+        vmovd     -12(%r11,%r10), %xmm1
+        vmovd     -12(%r9,%r10), %xmm2
+        vmovd     -12(%r8,%r10), %xmm5
+        vmovd     -12(%rdi,%r10), %xmm6
+        vpunpckldq %xmm2, %xmm1, %xmm7
+        vmovd     -12(%rcx,%r10), %xmm1
+        vmovd     -12(%rdx,%r10), %xmm2
+        vpunpckldq %xmm6, %xmm5, %xmm12
+        vpunpcklqdq %xmm12, %xmm7, %xmm15
+        vinsertf128 $1, %xmm0, %ymm3, %ymm10
+        vmovd     -12(%rsi,%r10), %xmm0
+        vmovd     -12(%r12,%r10), %xmm3
+        vpunpckldq %xmm1, %xmm0, %xmm5
+        vpunpckldq %xmm3, %xmm2, %xmm6
+        vpunpcklqdq %xmm6, %xmm5, %xmm7
+        vmovd     -8(%r11,%r10), %xmm3
+        vmovd     -8(%r9,%r10), %xmm5
+        vmovups   96(%rsp), %ymm0
+        vmovups   64(%rsp), %ymm1
+        vmovups   32(%rsp), %ymm2
+        vinsertf128 $1, %xmm7, %ymm15, %ymm12
+        vmovups   %ymm4, 32(%rsp)
+        vpunpckldq %xmm5, %xmm3, %xmm4
+        vmovd     -8(%r8,%r10), %xmm6
+        vmovd     -8(%rdi,%r10), %xmm5
+        vpunpckldq %xmm5, %xmm6, %xmm7
+        vpunpcklqdq %xmm7, %xmm4, %xmm6
+        vmovd     -8(%rsi,%r10), %xmm3
+        vmovd     -8(%rcx,%r10), %xmm15
+        vmovd     -8(%rdx,%r10), %xmm5
+        vmovd     -8(%r12,%r10), %xmm4
+        vpunpckldq %xmm15, %xmm3, %xmm7
+        vpunpckldq %xmm4, %xmm5, %xmm3
+        vpunpcklqdq %xmm3, %xmm7, %xmm15
+        vmovd     -4(%r11,%r10), %xmm5
+        vmovd     -4(%r9,%r10), %xmm4
+        vmovd     -4(%r8,%r10), %xmm7
+        vmovd     -4(%rdi,%r10), %xmm3
+        vinsertf128 $1, %xmm15, %ymm6, %ymm6
+        vpunpckldq %xmm4, %xmm5, %xmm15
+        vpunpckldq %xmm3, %xmm7, %xmm5
+        vpunpcklqdq %xmm5, %xmm15, %xmm4
+        vmovd     -4(%rsi,%r10), %xmm7
+        vmovd     -4(%rcx,%r10), %xmm3
+        vmovd     -4(%rdx,%r10), %xmm15
+        vmovd     -4(%r12,%r10), %xmm5
+        vpunpckldq %xmm3, %xmm7, %xmm7
+        vpunpckldq %xmm5, %xmm15, %xmm3
+        vpunpcklqdq %xmm3, %xmm7, %xmm15
+        vmovd     (%r11,%r10), %xmm5
+        vmovd     (%r9,%r10), %xmm7
+        vmovd     (%r8,%r10), %xmm3
+        vpunpckldq %xmm7, %xmm5, %xmm5
+
+/*
+ *  Higher polynomial terms
+ * Stage 1 (with unlimited parallelism)
+ * P3 = C1_lo + C2 * Z
+ */
+        vfmadd213ps %ymm12, %ymm13, %ymm6
+        vinsertf128 $1, %xmm15, %ymm4, %ymm4
+        vmovd     (%rdi,%r10), %xmm15
+        vpunpckldq %xmm15, %xmm3, %xmm7
+        vmovd     (%rsi,%r10), %xmm3
+        vmovd     (%rcx,%r10), %xmm15
+        vpunpcklqdq %xmm7, %xmm5, %xmm7
+        vpunpckldq %xmm15, %xmm3, %xmm5
+        vmovd     (%rdx,%r10), %xmm3
+        vmovd     (%r12,%r10), %xmm15
+        vpunpckldq %xmm15, %xmm3, %xmm3
+        vpunpcklqdq %xmm3, %xmm5, %xmm5
+        vmovups   .FLT_36(%rip), %ymm3
+
+/*
+ *  Compute 2-part reciprocal component
+ * Construct a separate reduced argument modulo pi near pi/2 multiples.
+ * i.e. (pi/2 - x) mod pi, simply by subtracting the reduced argument
+ * from an accurate B_hi + B_lo = (128 - n) pi/128. Force the upper part
+ * of this reduced argument to half-length to simplify accurate
+ * reciprocation later on.
+ */
+        vsubps    %ymm13, %ymm9, %ymm15
+        vsubps    %ymm15, %ymm9, %ymm9
+        vsubps    %ymm13, %ymm9, %ymm9
+        vinsertf128 $1, %xmm5, %ymm7, %ymm5
+        vandps    %ymm3, %ymm15, %ymm7
+        vsubps    %ymm7, %ymm15, %ymm15
+
+/* P4 = C3 + C4 * Z */
+        vfmadd213ps %ymm4, %ymm13, %ymm5
+
+/* Merge results from main and large paths: */
+        vmovups   32(%rsp), %ymm4
+        vaddps    %ymm15, %ymm8, %ymm8
+        vaddps    %ymm8, %ymm9, %ymm8
+
+/*
+ * Now compute an approximate reciprocal to mix into the computation
+ * To avoid any danger of nonportability, force it to 12 bits,
+ * though I suspect it always is anyway on current platforms.
+ */
+        vrcpps    %ymm7, %ymm9
+        vandps    %ymm3, %ymm9, %ymm9
+
+/*
+ * Now compute the error sEr where sRecip_hi = (1/R_hi) * (1 - sEr)
+ * so that we can compensate for it.
+ */
+        vmovups   1152+__svml_stan_data_internal(%rip), %ymm3
+        vfnmadd213ps %ymm3, %ymm9, %ymm7
+
+/*
+ * Get a better approximation to  1/sR_hi (not far short of an ulp)
+ * using a third-order polynomial approximation
+ */
+        vmovaps   %ymm9, %ymm15
+        vfmadd213ps %ymm9, %ymm7, %ymm15
+        vfmadd231ps %ymm7, %ymm7, %ymm3
+        vmulps    %ymm3, %ymm15, %ymm3
+
+/*
+ * Multiply by sRecip_ok to make sR_lo relative to sR_hi
+ * Since sR_lo is shifted off by about 12 bits, this is accurate enough.
+ */
+        vmulps    %ymm3, %ymm8, %ymm15
+
+/*
+ * Now create a low reciprocal using
+ * (Recip_hi + Er * Recip_ok) * (1 + sR_lo^2 - sR_lo)
+ * =~= Recip_hi + Recip_ok * (Er + sR_lo^2 - sR_lo)
+ */
+        vsubps    %ymm7, %ymm15, %ymm7
+        vfmsub213ps %ymm7, %ymm15, %ymm15
+        vmulps    %ymm15, %ymm3, %ymm7
+        vmovaps   %ymm10, %ymm3
+        vfmadd213ps %ymm11, %ymm13, %ymm3
+        vsubps    %ymm3, %ymm11, %ymm8
+        vmovaps   %ymm14, %ymm11
+        vfmadd213ps %ymm3, %ymm9, %ymm11
+        vfmadd213ps %ymm8, %ymm13, %ymm10
+        vfmsub213ps %ymm11, %ymm14, %ymm9
+        vfmadd213ps %ymm10, %ymm14, %ymm7
+        vaddps    %ymm9, %ymm3, %ymm10
+
+/* Z2 = Z^2 */
+        vmulps    %ymm13, %ymm13, %ymm3
+        vaddps    %ymm10, %ymm7, %ymm14
+
+/*
+ * Stage 2 (with unlimited parallelism)
+ * P6 = C1_lo + C2 * Z + C3 * Z^2 + C4 * Z^3
+ */
+        vfmadd213ps %ymm6, %ymm5, %ymm3
+
+/* P9 = trail(dominant part) + C0_lo */
+        vaddps    (%rsp), %ymm14, %ymm12
+
+/* Final accumulation of low part */
+        vfmadd213ps %ymm12, %ymm13, %ymm3
+
+/* And now the very final summation */
+        vaddps    %ymm3, %ymm11, %ymm13
+
+/*
+ *  The end of implementation (LA with huge args reduction)
+ * End of large arguments path (_HA_, _LA_ and _EP_)
+ */
+
+        vxorps    %ymm2, %ymm13, %ymm2
+        vblendvps %ymm1, %ymm2, %ymm0, %ymm0
+        jmp       L(1)
+
+END(_ZGVdN8v_tanf_avx2)
+
+        .align    16,0x90
+
+__svml_stan_cout_rare_internal:
+
+        cfi_startproc
+
+        xorl      %eax, %eax
+        movl      (%rdi), %edx
+        movzwl    2(%rdi), %ecx
+        movl      %edx, -8(%rsp)
+        andl      $32640, %ecx
+        shrl      $24, %edx
+        andl      $127, %edx
+        movb      %dl, -5(%rsp)
+        cmpl      $32640, %ecx
+        je        L(8)
+        ret
+
+L(8):
+        cmpl      $2139095040, -8(%rsp)
+        jne       L(9)
+        movss     (%rdi), %xmm0
+        movl      $1, %eax
+        mulss     __stan_la__vmlsTanTab(%rip), %xmm0
+        movss     %xmm0, (%rsi)
+        ret
+
+L(9):
+        movss     (%rdi), %xmm0
+        mulss     (%rdi), %xmm0
+        movss     %xmm0, (%rsi)
+        ret
+
+        cfi_endproc
+
+        .type	__svml_stan_cout_rare_internal,@function
+        .size	__svml_stan_cout_rare_internal,.-__svml_stan_cout_rare_internal
+
+        .section .rodata, "a"
+        .align 64
+
+__svml_stan_data_internal:
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .long	1092811139
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
+        .byte	0
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+        .long	0x007fffff,0x007fffff,0x007fffff,0x007fffff,0x007fffff,0x007fffff,0x007fffff,0x007fffff
+        .type	.FLT_20,@object
+        .size	.FLT_20,32
+        .align 32
+
+.FLT_21:
+        .long	0x00800000,0x00800000,0x00800000,0x00800000,0x00800000,0x00800000,0x00800000,0x00800000
+        .type	.FLT_21,@object
+        .size	.FLT_21,32
+        .align 32
+
+.FLT_22:
+        .long	0x0000ffff,0x0000ffff,0x0000ffff,0x0000ffff,0x0000ffff,0x0000ffff,0x0000ffff,0x0000ffff
+        .type	.FLT_22,@object
+        .size	.FLT_22,32
+        .align 32
+
+.FLT_23:
+        .long	0x80000000,0x80000000,0x80000000,0x80000000,0x80000000,0x80000000,0x80000000,0x80000000
+        .type	.FLT_23,@object
+        .size	.FLT_23,32
+        .align 32
+
+.FLT_24:
+        .long	0x3f800000,0x3f800000,0x3f800000,0x3f800000,0x3f800000,0x3f800000,0x3f800000,0x3f800000
+        .type	.FLT_24,@object
+        .size	.FLT_24,32
+        .align 32
+
+.FLT_25:
+        .long	0x47400000,0x47400000,0x47400000,0x47400000,0x47400000,0x47400000,0x47400000,0x47400000
+        .type	.FLT_25,@object
+        .size	.FLT_25,32
+        .align 32
+
+.FLT_26:
+        .long	0x28800000,0x28800000,0x28800000,0x28800000,0x28800000,0x28800000,0x28800000,0x28800000
+        .type	.FLT_26,@object
+        .size	.FLT_26,32
+        .align 32
+
+.FLT_27:
+        .long	0x0003ffff,0x0003ffff,0x0003ffff,0x0003ffff,0x0003ffff,0x0003ffff,0x0003ffff,0x0003ffff
+        .type	.FLT_27,@object
+        .size	.FLT_27,32
+        .align 32
+
+.FLT_28:
+        .long	0x34000000,0x34000000,0x34000000,0x34000000,0x34000000,0x34000000,0x34000000,0x34000000
+        .type	.FLT_28,@object
+        .size	.FLT_28,32
+        .align 32
+
+.FLT_29:
+        .long	0x000001ff,0x000001ff,0x000001ff,0x000001ff,0x000001ff,0x000001ff,0x000001ff,0x000001ff
+        .type	.FLT_29,@object
+        .size	.FLT_29,32
+        .align 32
+
+.FLT_30:
+        .long	0x40c90fdb,0x40c90fdb,0x40c90fdb,0x40c90fdb,0x40c90fdb,0x40c90fdb,0x40c90fdb,0x40c90fdb
+        .type	.FLT_30,@object
+        .size	.FLT_30,32
+        .align 32
+
+.FLT_31:
+        .long	0xb43bbd2e,0xb43bbd2e,0xb43bbd2e,0xb43bbd2e,0xb43bbd2e,0xb43bbd2e,0xb43bbd2e,0xb43bbd2e
+        .type	.FLT_31,@object
+        .size	.FLT_31,32
+        .align 32
+
+.FLT_32:
+        .long	0x7fffffff,0x7fffffff,0x7fffffff,0x7fffffff,0x7fffffff,0x7fffffff,0x7fffffff,0x7fffffff
+        .type	.FLT_32,@object
+        .size	.FLT_32,32
+        .align 32
+
+.FLT_33:
+        .long	0x35800000,0x35800000,0x35800000,0x35800000,0x35800000,0x35800000,0x35800000,0x35800000
+        .type	.FLT_33,@object
+        .size	.FLT_33,32
+        .align 32
+
+.FLT_34:
+        .long	0x000000ff,0x000000ff,0x000000ff,0x000000ff,0x000000ff,0x000000ff,0x000000ff,0x000000ff
+        .type	.FLT_34,@object
+        .size	.FLT_34,32
+        .align 32
+
+.FLT_35:
+        .long	0x0000007f,0x0000007f,0x0000007f,0x0000007f,0x0000007f,0x0000007f,0x0000007f,0x0000007f
+        .type	.FLT_35,@object
+        .size	.FLT_35,32
+        .align 32
+
+.FLT_36:
+        .long	0xfffff000,0xfffff000,0xfffff000,0xfffff000,0xfffff000,0xfffff000,0xfffff000,0xfffff000
+        .type	.FLT_36,@object
+        .size	.FLT_36,32
+        .align 4
+
+__stan_la__vmlsTanTab:
+        .long	0
+        .long	2139095040
+        .type	__stan_la__vmlsTanTab,@object
+        .size	__stan_la__vmlsTanTab,8
diff --git a/sysdeps/x86_64/fpu/svml_d_tan2_core.S b/sysdeps/x86_64/fpu/svml_d_tan2_core.S
new file mode 100644
index 0000000000..0e53ea666b
--- /dev/null
+++ b/sysdeps/x86_64/fpu/svml_d_tan2_core.S
@@ -0,0 +1,29 @@
+/* Function tan vectorized with SSE2.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <sysdep.h>
+#include "svml_d_wrapper_impl.h"
+
+	.text
+ENTRY (_ZGVbN2v_tan)
+WRAPPER_IMPL_SSE2 tan
+END (_ZGVbN2v_tan)
+
+#ifndef USE_MULTIARCH
+ libmvec_hidden_def (_ZGVbN2v_tan)
+#endif
diff --git a/sysdeps/x86_64/fpu/svml_d_tan4_core.S b/sysdeps/x86_64/fpu/svml_d_tan4_core.S
new file mode 100644
index 0000000000..7240bdbe45
--- /dev/null
+++ b/sysdeps/x86_64/fpu/svml_d_tan4_core.S
@@ -0,0 +1,29 @@
+/* Function tan vectorized with AVX2, wrapper version.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <sysdep.h>
+#include "svml_d_wrapper_impl.h"
+
+	.text
+ENTRY (_ZGVdN4v_tan)
+WRAPPER_IMPL_AVX _ZGVbN2v_tan
+END (_ZGVdN4v_tan)
+
+#ifndef USE_MULTIARCH
+ libmvec_hidden_def (_ZGVdN4v_tan)
+#endif
diff --git a/sysdeps/x86_64/fpu/svml_d_tan4_core_avx.S b/sysdeps/x86_64/fpu/svml_d_tan4_core_avx.S
new file mode 100644
index 0000000000..ab18bb61ec
--- /dev/null
+++ b/sysdeps/x86_64/fpu/svml_d_tan4_core_avx.S
@@ -0,0 +1,25 @@
+/* Function tan vectorized in AVX ISA as wrapper to SSE4 ISA version.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <sysdep.h>
+#include "svml_d_wrapper_impl.h"
+
+	.text
+ENTRY (_ZGVcN4v_tan)
+WRAPPER_IMPL_AVX _ZGVbN2v_tan
+END (_ZGVcN4v_tan)
diff --git a/sysdeps/x86_64/fpu/svml_d_tan8_core.S b/sysdeps/x86_64/fpu/svml_d_tan8_core.S
new file mode 100644
index 0000000000..76ad38d9d7
--- /dev/null
+++ b/sysdeps/x86_64/fpu/svml_d_tan8_core.S
@@ -0,0 +1,25 @@
+/* Function tan vectorized with AVX-512, wrapper to AVX2.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <sysdep.h>
+#include "svml_d_wrapper_impl.h"
+
+	.text
+ENTRY (_ZGVeN8v_tan)
+WRAPPER_IMPL_AVX512 _ZGVdN4v_tan
+END (_ZGVeN8v_tan)
diff --git a/sysdeps/x86_64/fpu/svml_s_tanf16_core.S b/sysdeps/x86_64/fpu/svml_s_tanf16_core.S
new file mode 100644
index 0000000000..22ec8d8906
--- /dev/null
+++ b/sysdeps/x86_64/fpu/svml_s_tanf16_core.S
@@ -0,0 +1,25 @@
+/* Function tanf vectorized with AVX-512. Wrapper to AVX2 version.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <sysdep.h>
+#include "svml_s_wrapper_impl.h"
+
+	.text
+ENTRY (_ZGVeN16v_tanf)
+WRAPPER_IMPL_AVX512 _ZGVdN8v_tanf
+END (_ZGVeN16v_tanf)
diff --git a/sysdeps/x86_64/fpu/svml_s_tanf4_core.S b/sysdeps/x86_64/fpu/svml_s_tanf4_core.S
new file mode 100644
index 0000000000..670b3ce0ff
--- /dev/null
+++ b/sysdeps/x86_64/fpu/svml_s_tanf4_core.S
@@ -0,0 +1,29 @@
+/* Function tanf vectorized with SSE2, wrapper version.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <sysdep.h>
+#include "svml_s_wrapper_impl.h"
+
+	.text
+ENTRY (_ZGVbN4v_tanf)
+WRAPPER_IMPL_SSE2 tanf
+END (_ZGVbN4v_tanf)
+
+#ifndef USE_MULTIARCH
+ libmvec_hidden_def (_ZGVbN4v_tanf)
+#endif
diff --git a/sysdeps/x86_64/fpu/svml_s_tanf8_core.S b/sysdeps/x86_64/fpu/svml_s_tanf8_core.S
new file mode 100644
index 0000000000..30c8ad9a89
--- /dev/null
+++ b/sysdeps/x86_64/fpu/svml_s_tanf8_core.S
@@ -0,0 +1,29 @@
+/* Function tanf vectorized with AVX2, wrapper version.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <sysdep.h>
+#include "svml_s_wrapper_impl.h"
+
+	.text
+ENTRY (_ZGVdN8v_tanf)
+WRAPPER_IMPL_AVX _ZGVbN4v_tanf
+END (_ZGVdN8v_tanf)
+
+#ifndef USE_MULTIARCH
+ libmvec_hidden_def (_ZGVdN8v_tanf)
+#endif
diff --git a/sysdeps/x86_64/fpu/svml_s_tanf8_core_avx.S b/sysdeps/x86_64/fpu/svml_s_tanf8_core_avx.S
new file mode 100644
index 0000000000..b0ff1489c2
--- /dev/null
+++ b/sysdeps/x86_64/fpu/svml_s_tanf8_core_avx.S
@@ -0,0 +1,25 @@
+/* Function tanf vectorized in AVX ISA as wrapper to SSE4 ISA version.
+   Copyright (C) 2021 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <https://www.gnu.org/licenses/>.  */
+
+#include <sysdep.h>
+#include "svml_s_wrapper_impl.h"
+
+        .text
+ENTRY (_ZGVcN8v_tanf)
+WRAPPER_IMPL_AVX _ZGVbN4v_tanf
+END (_ZGVcN8v_tanf)
diff --git a/sysdeps/x86_64/fpu/test-double-libmvec-tan-avx.c b/sysdeps/x86_64/fpu/test-double-libmvec-tan-avx.c
new file mode 100644
index 0000000000..bf7a6393a4
--- /dev/null
+++ b/sysdeps/x86_64/fpu/test-double-libmvec-tan-avx.c
@@ -0,0 +1 @@
+#include "test-double-libmvec-tan.c"
diff --git a/sysdeps/x86_64/fpu/test-double-libmvec-tan-avx2.c b/sysdeps/x86_64/fpu/test-double-libmvec-tan-avx2.c
new file mode 100644
index 0000000000..bf7a6393a4
--- /dev/null
+++ b/sysdeps/x86_64/fpu/test-double-libmvec-tan-avx2.c
@@ -0,0 +1 @@
+#include "test-double-libmvec-tan.c"
diff --git a/sysdeps/x86_64/fpu/test-double-libmvec-tan-avx512f.c b/sysdeps/x86_64/fpu/test-double-libmvec-tan-avx512f.c
new file mode 100644
index 0000000000..bf7a6393a4
--- /dev/null
+++ b/sysdeps/x86_64/fpu/test-double-libmvec-tan-avx512f.c
@@ -0,0 +1 @@
+#include "test-double-libmvec-tan.c"
diff --git a/sysdeps/x86_64/fpu/test-double-libmvec-tan.c b/sysdeps/x86_64/fpu/test-double-libmvec-tan.c
new file mode 100644
index 0000000000..5710dddf5b
--- /dev/null
+++ b/sysdeps/x86_64/fpu/test-double-libmvec-tan.c
@@ -0,0 +1,3 @@
+#define LIBMVEC_TYPE double
+#define LIBMVEC_FUNC tan
+#include "test-vector-abi-arg1.h"
diff --git a/sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c b/sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c
index a0bdd99971..d6b866263f 100644
--- a/sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c
+++ b/sysdeps/x86_64/fpu/test-double-vlen2-wrappers.c
@@ -46,6 +46,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log10), _ZGVbN2v_log10)
 VECTOR_WRAPPER (WRAPPER_NAME (log1p), _ZGVbN2v_log1p)
 VECTOR_WRAPPER (WRAPPER_NAME (log2), _ZGVbN2v_log2)
 VECTOR_WRAPPER (WRAPPER_NAME (sinh), _ZGVbN2v_sinh)
+VECTOR_WRAPPER (WRAPPER_NAME (tan), _ZGVbN2v_tan)
 
 #define VEC_INT_TYPE __m128i
 
diff --git a/sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c b/sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c
index 3900d7e81b..88e7f8e375 100644
--- a/sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c
+++ b/sysdeps/x86_64/fpu/test-double-vlen4-avx2-wrappers.c
@@ -49,6 +49,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log10), _ZGVdN4v_log10)
 VECTOR_WRAPPER (WRAPPER_NAME (log1p), _ZGVdN4v_log1p)
 VECTOR_WRAPPER (WRAPPER_NAME (log2), _ZGVdN4v_log2)
 VECTOR_WRAPPER (WRAPPER_NAME (sinh), _ZGVdN4v_sinh)
+VECTOR_WRAPPER (WRAPPER_NAME (tan), _ZGVdN4v_tan)
 
 #ifndef __ILP32__
 # define VEC_INT_TYPE __m256i
diff --git a/sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c b/sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c
index 80c30b6a9c..79f6275ceb 100644
--- a/sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c
+++ b/sysdeps/x86_64/fpu/test-double-vlen4-wrappers.c
@@ -46,6 +46,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log10), _ZGVcN4v_log10)
 VECTOR_WRAPPER (WRAPPER_NAME (log1p), _ZGVcN4v_log1p)
 VECTOR_WRAPPER (WRAPPER_NAME (log2), _ZGVcN4v_log2)
 VECTOR_WRAPPER (WRAPPER_NAME (sinh), _ZGVcN4v_sinh)
+VECTOR_WRAPPER (WRAPPER_NAME (tan), _ZGVcN4v_tan)
 
 #define VEC_INT_TYPE __m128i
 
diff --git a/sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c b/sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c
index 512b551a46..80025ee612 100644
--- a/sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c
+++ b/sysdeps/x86_64/fpu/test-double-vlen8-wrappers.c
@@ -46,6 +46,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log10), _ZGVeN8v_log10)
 VECTOR_WRAPPER (WRAPPER_NAME (log1p), _ZGVeN8v_log1p)
 VECTOR_WRAPPER (WRAPPER_NAME (log2), _ZGVeN8v_log2)
 VECTOR_WRAPPER (WRAPPER_NAME (sinh), _ZGVeN8v_sinh)
+VECTOR_WRAPPER (WRAPPER_NAME (tan), _ZGVeN8v_tan)
 
 #ifndef __ILP32__
 # define VEC_INT_TYPE __m512i
diff --git a/sysdeps/x86_64/fpu/test-float-libmvec-tanf-avx.c b/sysdeps/x86_64/fpu/test-float-libmvec-tanf-avx.c
new file mode 100644
index 0000000000..ea7974f3ad
--- /dev/null
+++ b/sysdeps/x86_64/fpu/test-float-libmvec-tanf-avx.c
@@ -0,0 +1 @@
+#include "test-float-libmvec-tanf.c"
diff --git a/sysdeps/x86_64/fpu/test-float-libmvec-tanf-avx2.c b/sysdeps/x86_64/fpu/test-float-libmvec-tanf-avx2.c
new file mode 100644
index 0000000000..ea7974f3ad
--- /dev/null
+++ b/sysdeps/x86_64/fpu/test-float-libmvec-tanf-avx2.c
@@ -0,0 +1 @@
+#include "test-float-libmvec-tanf.c"
diff --git a/sysdeps/x86_64/fpu/test-float-libmvec-tanf-avx512f.c b/sysdeps/x86_64/fpu/test-float-libmvec-tanf-avx512f.c
new file mode 100644
index 0000000000..ea7974f3ad
--- /dev/null
+++ b/sysdeps/x86_64/fpu/test-float-libmvec-tanf-avx512f.c
@@ -0,0 +1 @@
+#include "test-float-libmvec-tanf.c"
diff --git a/sysdeps/x86_64/fpu/test-float-libmvec-tanf.c b/sysdeps/x86_64/fpu/test-float-libmvec-tanf.c
new file mode 100644
index 0000000000..20754c7a16
--- /dev/null
+++ b/sysdeps/x86_64/fpu/test-float-libmvec-tanf.c
@@ -0,0 +1,3 @@
+#define LIBMVEC_TYPE float
+#define LIBMVEC_FUNC tanf
+#include "test-vector-abi-arg1.h"
diff --git a/sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c b/sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c
index c6bf2f5f6b..f8f0a3858a 100644
--- a/sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c
+++ b/sysdeps/x86_64/fpu/test-float-vlen16-wrappers.c
@@ -46,6 +46,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log10f), _ZGVeN16v_log10f)
 VECTOR_WRAPPER (WRAPPER_NAME (log1pf), _ZGVeN16v_log1pf)
 VECTOR_WRAPPER (WRAPPER_NAME (log2f), _ZGVeN16v_log2f)
 VECTOR_WRAPPER (WRAPPER_NAME (sinhf), _ZGVeN16v_sinhf)
+VECTOR_WRAPPER (WRAPPER_NAME (tanf), _ZGVeN16v_tanf)
 
 #define VEC_INT_TYPE __m512i
 
diff --git a/sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c b/sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c
index b17bf08eb9..9778549534 100644
--- a/sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c
+++ b/sysdeps/x86_64/fpu/test-float-vlen4-wrappers.c
@@ -46,6 +46,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log10f), _ZGVbN4v_log10f)
 VECTOR_WRAPPER (WRAPPER_NAME (log1pf), _ZGVbN4v_log1pf)
 VECTOR_WRAPPER (WRAPPER_NAME (log2f), _ZGVbN4v_log2f)
 VECTOR_WRAPPER (WRAPPER_NAME (sinhf), _ZGVbN4v_sinhf)
+VECTOR_WRAPPER (WRAPPER_NAME (tanf), _ZGVbN4v_tanf)
 
 #define VEC_INT_TYPE __m128i
 
diff --git a/sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c b/sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c
index ede717bb48..f00ba85eaa 100644
--- a/sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c
+++ b/sysdeps/x86_64/fpu/test-float-vlen8-avx2-wrappers.c
@@ -49,6 +49,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log10f), _ZGVdN8v_log10f)
 VECTOR_WRAPPER (WRAPPER_NAME (log1pf), _ZGVdN8v_log1pf)
 VECTOR_WRAPPER (WRAPPER_NAME (log2f), _ZGVdN8v_log2f)
 VECTOR_WRAPPER (WRAPPER_NAME (sinhf), _ZGVdN8v_sinhf)
+VECTOR_WRAPPER (WRAPPER_NAME (tanf), _ZGVdN8v_tanf)
 
 /* Redefinition of wrapper to be compatible with _ZGVdN8vvv_sincosf.  */
 #undef VECTOR_WRAPPER_fFF
diff --git a/sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c b/sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c
index ec5b13aac3..45bcf55340 100644
--- a/sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c
+++ b/sysdeps/x86_64/fpu/test-float-vlen8-wrappers.c
@@ -46,6 +46,7 @@ VECTOR_WRAPPER (WRAPPER_NAME (log10f), _ZGVcN8v_log10f)
 VECTOR_WRAPPER (WRAPPER_NAME (log1pf), _ZGVcN8v_log1pf)
 VECTOR_WRAPPER (WRAPPER_NAME (log2f), _ZGVcN8v_log2f)
 VECTOR_WRAPPER (WRAPPER_NAME (sinhf), _ZGVcN8v_sinhf)
+VECTOR_WRAPPER (WRAPPER_NAME (tanf), _ZGVcN8v_tanf)
 
 #define VEC_INT_TYPE __m128i
 
