aarch64: Add vector implementations of expm1 routines

May discard sign of 0 - auto tests for -0 and -0x1p-10000 updated accordingly.

diff --git a/math/auto-libm-test-in b/math/auto-libm-test-in
index a8d6674c986900ead1efb1372aa6af1f7e4c671e..897a3364691d2f324ae5a507cc1e931c5ba06023 100644 (file)
--- a/math/auto-libm-test-in
+++ b/math/auto-libm-test-in
@@ -5354,7 +5354,7 @@ exp2 -0x4.8ce878p-4
 exp2 0xf.93d18bf7be8d272p-4
 
 expm1 0
-expm1 -0
+expm1 -0 no-mathvec
 expm1 1
 expm1 0.75
 expm1 2
@@ -5419,7 +5419,7 @@ expm1 -0x1p-100
 expm1 0x1p-600
 expm1 -0x1p-600
 expm1 0x1p-10000
-expm1 -0x1p-10000
+expm1 -0x1p-10000 no-mathvec
 expm1 0xe.4152ac57cd1ea7ap-60
 expm1 0x6.660247486aed8p-4
 expm1 0x6.289a78p-4

diff --git a/math/auto-libm-test-out-expm1 b/math/auto-libm-test-out-expm1
index 8483455801221aaca9c152550da206bdc9377249..91da41b7f604a5a170c87d0c5b9c8f715ed51c4c 100644 (file)
--- a/math/auto-libm-test-out-expm1
+++ b/math/auto-libm-test-out-expm1
@@ -23,31 +23,31 @@ expm1 0
 = expm1 tonearest ibm128 0x0p+0 : 0x0p+0 : inexact-ok
 = expm1 towardzero ibm128 0x0p+0 : 0x0p+0 : inexact-ok
 = expm1 upward ibm128 0x0p+0 : 0x0p+0 : inexact-ok
-expm1 -0
-= expm1 downward binary32 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 tonearest binary32 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 towardzero binary32 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 upward binary32 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 downward binary64 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 tonearest binary64 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 towardzero binary64 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 upward binary64 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 downward intel96 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 tonearest intel96 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 towardzero intel96 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 upward intel96 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 downward m68k96 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 tonearest m68k96 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 towardzero m68k96 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 upward m68k96 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 downward binary128 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 tonearest binary128 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 towardzero binary128 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 upward binary128 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 downward ibm128 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 tonearest ibm128 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 towardzero ibm128 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 upward ibm128 -0x0p+0 : -0x0p+0 : inexact-ok
+expm1 -0 no-mathvec
+= expm1 downward binary32 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 tonearest binary32 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 towardzero binary32 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 upward binary32 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 downward binary64 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 tonearest binary64 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 towardzero binary64 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 upward binary64 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 downward intel96 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 tonearest intel96 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 towardzero intel96 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 upward intel96 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 downward m68k96 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 tonearest m68k96 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 towardzero m68k96 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 upward m68k96 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 downward binary128 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 tonearest binary128 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 towardzero binary128 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 upward binary128 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 downward ibm128 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 tonearest ibm128 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 towardzero ibm128 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 upward ibm128 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
 expm1 1
 = expm1 downward binary32 0x1p+0 : 0x1.b7e15p+0 : inexact-ok
 = expm1 tonearest binary32 0x1p+0 : 0x1.b7e152p+0 : inexact-ok
@@ -1880,87 +1880,87 @@ expm1 0x1p-10000
 = expm1 tonearest binary128 0x1p-10000 : 0x1p-10000 : inexact-ok
 = expm1 towardzero binary128 0x1p-10000 : 0x1p-10000 : inexact-ok
 = expm1 upward binary128 0x1p-10000 : 0x1.0000000000000000000000000001p-10000 : inexact-ok
-expm1 -0x1p-10000
-= expm1 downward binary32 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 tonearest binary32 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 towardzero binary32 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 upward binary32 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 downward binary64 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 tonearest binary64 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 towardzero binary64 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 upward binary64 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 downward intel96 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 tonearest intel96 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 towardzero intel96 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 upward intel96 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 downward m68k96 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 tonearest m68k96 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 towardzero m68k96 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 upward m68k96 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 downward binary128 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 tonearest binary128 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 towardzero binary128 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 upward binary128 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 downward ibm128 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 tonearest ibm128 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 towardzero ibm128 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 upward ibm128 -0x0p+0 : -0x0p+0 : inexact-ok
-= expm1 downward binary32 -0x8p-152 : -0x8p-152 : inexact-ok underflow errno-erange-ok
-= expm1 tonearest binary32 -0x8p-152 : -0x8p-152 : inexact-ok underflow errno-erange-ok
-= expm1 towardzero binary32 -0x8p-152 : -0x0p+0 : inexact-ok underflow errno-erange-ok
-= expm1 upward binary32 -0x8p-152 : -0x0p+0 : inexact-ok underflow errno-erange-ok
-= expm1 downward binary64 -0x8p-152 : -0x8p-152 : inexact-ok
-= expm1 tonearest binary64 -0x8p-152 : -0x8p-152 : inexact-ok
-= expm1 towardzero binary64 -0x8p-152 : -0x7.ffffffffffffcp-152 : inexact-ok
-= expm1 upward binary64 -0x8p-152 : -0x7.ffffffffffffcp-152 : inexact-ok
-= expm1 downward intel96 -0x8p-152 : -0x8p-152 : inexact-ok
-= expm1 tonearest intel96 -0x8p-152 : -0x8p-152 : inexact-ok
-= expm1 towardzero intel96 -0x8p-152 : -0x7.fffffffffffffff8p-152 : inexact-ok
-= expm1 upward intel96 -0x8p-152 : -0x7.fffffffffffffff8p-152 : inexact-ok
-= expm1 downward m68k96 -0x8p-152 : -0x8p-152 : inexact-ok
-= expm1 tonearest m68k96 -0x8p-152 : -0x8p-152 : inexact-ok
-= expm1 towardzero m68k96 -0x8p-152 : -0x7.fffffffffffffff8p-152 : inexact-ok
-= expm1 upward m68k96 -0x8p-152 : -0x7.fffffffffffffff8p-152 : inexact-ok
-= expm1 downward binary128 -0x8p-152 : -0x8p-152 : inexact-ok
-= expm1 tonearest binary128 -0x8p-152 : -0x8p-152 : inexact-ok
-= expm1 towardzero binary128 -0x8p-152 : -0x7.fffffffffffffffffffffffffffcp-152 : inexact-ok
-= expm1 upward binary128 -0x8p-152 : -0x7.fffffffffffffffffffffffffffcp-152 : inexact-ok
-= expm1 downward ibm128 -0x8p-152 : -0x8p-152 : inexact-ok
-= expm1 tonearest ibm128 -0x8p-152 : -0x8p-152 : inexact-ok
-= expm1 towardzero ibm128 -0x8p-152 : -0x7.fffffffffffffffffffffffffep-152 : inexact-ok
-= expm1 upward ibm128 -0x8p-152 : -0x7.fffffffffffffffffffffffffep-152 : inexact-ok
-= expm1 downward binary64 -0x4p-1076 : -0x4p-1076 : inexact-ok underflow errno-erange-ok
-= expm1 tonearest binary64 -0x4p-1076 : -0x4p-1076 : inexact-ok underflow errno-erange-ok
-= expm1 towardzero binary64 -0x4p-1076 : -0x0p+0 : inexact-ok underflow errno-erange-ok
-= expm1 upward binary64 -0x4p-1076 : -0x0p+0 : inexact-ok underflow errno-erange-ok
-= expm1 downward intel96 -0x4p-1076 : -0x4p-1076 : inexact-ok
-= expm1 tonearest intel96 -0x4p-1076 : -0x4p-1076 : inexact-ok
-= expm1 towardzero intel96 -0x4p-1076 : -0x3.fffffffffffffffcp-1076 : inexact-ok
-= expm1 upward intel96 -0x4p-1076 : -0x3.fffffffffffffffcp-1076 : inexact-ok
-= expm1 downward m68k96 -0x4p-1076 : -0x4p-1076 : inexact-ok
-= expm1 tonearest m68k96 -0x4p-1076 : -0x4p-1076 : inexact-ok
-= expm1 towardzero m68k96 -0x4p-1076 : -0x3.fffffffffffffffcp-1076 : inexact-ok
-= expm1 upward m68k96 -0x4p-1076 : -0x3.fffffffffffffffcp-1076 : inexact-ok
-= expm1 downward binary128 -0x4p-1076 : -0x4p-1076 : inexact-ok
-= expm1 tonearest binary128 -0x4p-1076 : -0x4p-1076 : inexact-ok
-= expm1 towardzero binary128 -0x4p-1076 : -0x3.fffffffffffffffffffffffffffep-1076 : inexact-ok
-= expm1 upward binary128 -0x4p-1076 : -0x3.fffffffffffffffffffffffffffep-1076 : inexact-ok
-= expm1 downward ibm128 -0x4p-1076 : -0x4p-1076 : xfail:ibm128-libgcc inexact-ok underflow errno-erange-ok
-= expm1 tonearest ibm128 -0x4p-1076 : -0x4p-1076 : inexact-ok underflow errno-erange-ok
-= expm1 towardzero ibm128 -0x4p-1076 : -0x0p+0 : xfail:ibm128-libgcc inexact-ok underflow errno-erange-ok
-= expm1 upward ibm128 -0x4p-1076 : -0x0p+0 : xfail:ibm128-libgcc inexact-ok underflow errno-erange-ok
-= expm1 downward intel96 -0x1p-10000 : -0x1p-10000 : inexact-ok
-= expm1 tonearest intel96 -0x1p-10000 : -0x1p-10000 : inexact-ok
-= expm1 towardzero intel96 -0x1p-10000 : -0xf.fffffffffffffffp-10004 : inexact-ok
-= expm1 upward intel96 -0x1p-10000 : -0xf.fffffffffffffffp-10004 : inexact-ok
-= expm1 downward m68k96 -0x1p-10000 : -0x1p-10000 : inexact-ok
-= expm1 tonearest m68k96 -0x1p-10000 : -0x1p-10000 : inexact-ok
-= expm1 towardzero m68k96 -0x1p-10000 : -0xf.fffffffffffffffp-10004 : inexact-ok
-= expm1 upward m68k96 -0x1p-10000 : -0xf.fffffffffffffffp-10004 : inexact-ok
-= expm1 downward binary128 -0x1p-10000 : -0x1p-10000 : inexact-ok
-= expm1 tonearest binary128 -0x1p-10000 : -0x1p-10000 : inexact-ok
-= expm1 towardzero binary128 -0x1p-10000 : -0xf.fffffffffffffffffffffffffff8p-10004 : inexact-ok
-= expm1 upward binary128 -0x1p-10000 : -0xf.fffffffffffffffffffffffffff8p-10004 : inexact-ok
+expm1 -0x1p-10000 no-mathvec
+= expm1 downward binary32 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 tonearest binary32 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 towardzero binary32 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 upward binary32 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 downward binary64 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 tonearest binary64 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 towardzero binary64 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 upward binary64 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 downward intel96 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 tonearest intel96 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 towardzero intel96 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 upward intel96 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 downward m68k96 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 tonearest m68k96 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 towardzero m68k96 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 upward m68k96 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 downward binary128 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 tonearest binary128 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 towardzero binary128 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 upward binary128 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 downward ibm128 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 tonearest ibm128 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 towardzero ibm128 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 upward ibm128 -0x0p+0 : -0x0p+0 : no-mathvec inexact-ok
+= expm1 downward binary32 -0x8p-152 : -0x8p-152 : no-mathvec inexact-ok underflow errno-erange-ok
+= expm1 tonearest binary32 -0x8p-152 : -0x8p-152 : no-mathvec inexact-ok underflow errno-erange-ok
+= expm1 towardzero binary32 -0x8p-152 : -0x0p+0 : no-mathvec inexact-ok underflow errno-erange-ok
+= expm1 upward binary32 -0x8p-152 : -0x0p+0 : no-mathvec inexact-ok underflow errno-erange-ok
+= expm1 downward binary64 -0x8p-152 : -0x8p-152 : no-mathvec inexact-ok
+= expm1 tonearest binary64 -0x8p-152 : -0x8p-152 : no-mathvec inexact-ok
+= expm1 towardzero binary64 -0x8p-152 : -0x7.ffffffffffffcp-152 : no-mathvec inexact-ok
+= expm1 upward binary64 -0x8p-152 : -0x7.ffffffffffffcp-152 : no-mathvec inexact-ok
+= expm1 downward intel96 -0x8p-152 : -0x8p-152 : no-mathvec inexact-ok
+= expm1 tonearest intel96 -0x8p-152 : -0x8p-152 : no-mathvec inexact-ok
+= expm1 towardzero intel96 -0x8p-152 : -0x7.fffffffffffffff8p-152 : no-mathvec inexact-ok
+= expm1 upward intel96 -0x8p-152 : -0x7.fffffffffffffff8p-152 : no-mathvec inexact-ok
+= expm1 downward m68k96 -0x8p-152 : -0x8p-152 : no-mathvec inexact-ok
+= expm1 tonearest m68k96 -0x8p-152 : -0x8p-152 : no-mathvec inexact-ok
+= expm1 towardzero m68k96 -0x8p-152 : -0x7.fffffffffffffff8p-152 : no-mathvec inexact-ok
+= expm1 upward m68k96 -0x8p-152 : -0x7.fffffffffffffff8p-152 : no-mathvec inexact-ok
+= expm1 downward binary128 -0x8p-152 : -0x8p-152 : no-mathvec inexact-ok
+= expm1 tonearest binary128 -0x8p-152 : -0x8p-152 : no-mathvec inexact-ok
+= expm1 towardzero binary128 -0x8p-152 : -0x7.fffffffffffffffffffffffffffcp-152 : no-mathvec inexact-ok
+= expm1 upward binary128 -0x8p-152 : -0x7.fffffffffffffffffffffffffffcp-152 : no-mathvec inexact-ok
+= expm1 downward ibm128 -0x8p-152 : -0x8p-152 : no-mathvec inexact-ok
+= expm1 tonearest ibm128 -0x8p-152 : -0x8p-152 : no-mathvec inexact-ok
+= expm1 towardzero ibm128 -0x8p-152 : -0x7.fffffffffffffffffffffffffep-152 : no-mathvec inexact-ok
+= expm1 upward ibm128 -0x8p-152 : -0x7.fffffffffffffffffffffffffep-152 : no-mathvec inexact-ok
+= expm1 downward binary64 -0x4p-1076 : -0x4p-1076 : no-mathvec inexact-ok underflow errno-erange-ok
+= expm1 tonearest binary64 -0x4p-1076 : -0x4p-1076 : no-mathvec inexact-ok underflow errno-erange-ok
+= expm1 towardzero binary64 -0x4p-1076 : -0x0p+0 : no-mathvec inexact-ok underflow errno-erange-ok
+= expm1 upward binary64 -0x4p-1076 : -0x0p+0 : no-mathvec inexact-ok underflow errno-erange-ok
+= expm1 downward intel96 -0x4p-1076 : -0x4p-1076 : no-mathvec inexact-ok
+= expm1 tonearest intel96 -0x4p-1076 : -0x4p-1076 : no-mathvec inexact-ok
+= expm1 towardzero intel96 -0x4p-1076 : -0x3.fffffffffffffffcp-1076 : no-mathvec inexact-ok
+= expm1 upward intel96 -0x4p-1076 : -0x3.fffffffffffffffcp-1076 : no-mathvec inexact-ok
+= expm1 downward m68k96 -0x4p-1076 : -0x4p-1076 : no-mathvec inexact-ok
+= expm1 tonearest m68k96 -0x4p-1076 : -0x4p-1076 : no-mathvec inexact-ok
+= expm1 towardzero m68k96 -0x4p-1076 : -0x3.fffffffffffffffcp-1076 : no-mathvec inexact-ok
+= expm1 upward m68k96 -0x4p-1076 : -0x3.fffffffffffffffcp-1076 : no-mathvec inexact-ok
+= expm1 downward binary128 -0x4p-1076 : -0x4p-1076 : no-mathvec inexact-ok
+= expm1 tonearest binary128 -0x4p-1076 : -0x4p-1076 : no-mathvec inexact-ok
+= expm1 towardzero binary128 -0x4p-1076 : -0x3.fffffffffffffffffffffffffffep-1076 : no-mathvec inexact-ok
+= expm1 upward binary128 -0x4p-1076 : -0x3.fffffffffffffffffffffffffffep-1076 : no-mathvec inexact-ok
+= expm1 downward ibm128 -0x4p-1076 : -0x4p-1076 : no-mathvec xfail:ibm128-libgcc inexact-ok underflow errno-erange-ok
+= expm1 tonearest ibm128 -0x4p-1076 : -0x4p-1076 : no-mathvec inexact-ok underflow errno-erange-ok
+= expm1 towardzero ibm128 -0x4p-1076 : -0x0p+0 : no-mathvec xfail:ibm128-libgcc inexact-ok underflow errno-erange-ok
+= expm1 upward ibm128 -0x4p-1076 : -0x0p+0 : no-mathvec xfail:ibm128-libgcc inexact-ok underflow errno-erange-ok
+= expm1 downward intel96 -0x1p-10000 : -0x1p-10000 : no-mathvec inexact-ok
+= expm1 tonearest intel96 -0x1p-10000 : -0x1p-10000 : no-mathvec inexact-ok
+= expm1 towardzero intel96 -0x1p-10000 : -0xf.fffffffffffffffp-10004 : no-mathvec inexact-ok
+= expm1 upward intel96 -0x1p-10000 : -0xf.fffffffffffffffp-10004 : no-mathvec inexact-ok
+= expm1 downward m68k96 -0x1p-10000 : -0x1p-10000 : no-mathvec inexact-ok
+= expm1 tonearest m68k96 -0x1p-10000 : -0x1p-10000 : no-mathvec inexact-ok
+= expm1 towardzero m68k96 -0x1p-10000 : -0xf.fffffffffffffffp-10004 : no-mathvec inexact-ok
+= expm1 upward m68k96 -0x1p-10000 : -0xf.fffffffffffffffp-10004 : no-mathvec inexact-ok
+= expm1 downward binary128 -0x1p-10000 : -0x1p-10000 : no-mathvec inexact-ok
+= expm1 tonearest binary128 -0x1p-10000 : -0x1p-10000 : no-mathvec inexact-ok
+= expm1 towardzero binary128 -0x1p-10000 : -0xf.fffffffffffffffffffffffffff8p-10004 : no-mathvec inexact-ok
+= expm1 upward binary128 -0x1p-10000 : -0xf.fffffffffffffffffffffffffff8p-10004 : no-mathvec inexact-ok
 expm1 0xe.4152ac57cd1ea7ap-60
 = expm1 downward binary32 0xe.4152bp-60 : 0xe.4152bp-60 : inexact-ok
 = expm1 tonearest binary32 0xe.4152bp-60 : 0xe.4152bp-60 : inexact-ok

diff --git a/sysdeps/aarch64/fpu/Makefile b/sysdeps/aarch64/fpu/Makefile
index c77c709edd3adae1e3f99079ced94a2f0305ffd1..1fe4b5268283cd96d6298456f4769d3382202817 100644 (file)
--- a/sysdeps/aarch64/fpu/Makefile
+++ b/sysdeps/aarch64/fpu/Makefile
@@ -6,6 +6,7 @@ libmvec-supported-funcs = acos \
                           exp \
                           exp10 \
                           exp2 \
+                          expm1 \
                           log \
                           log10 \
                           log1p \

diff --git a/sysdeps/aarch64/fpu/Versions b/sysdeps/aarch64/fpu/Versions
index 2543649fbe79a18c86e94b3f8c3c8a756f056dc1..aaacacaebe13615878cf238b718e1cbd8f804bb9 100644 (file)
--- a/sysdeps/aarch64/fpu/Versions
+++ b/sysdeps/aarch64/fpu/Versions
@@ -42,6 +42,10 @@ libmvec {
     _ZGVnN2v_exp2;
     _ZGVsMxv_exp2f;
     _ZGVsMxv_exp2;
+    _ZGVnN4v_expm1f;
+    _ZGVnN2v_expm1;
+    _ZGVsMxv_expm1f;
+    _ZGVsMxv_expm1;
     _ZGVnN4v_log10f;
     _ZGVnN2v_log10;
     _ZGVsMxv_log10f;

diff --git a/sysdeps/aarch64/fpu/bits/math-vector.h b/sysdeps/aarch64/fpu/bits/math-vector.h
index 51915cef2272aca3743e1af2f953bddd2ffae6f5..52aad95e3b9fc130b49ed2e6363b3b53049d37d3 100644 (file)
--- a/sysdeps/aarch64/fpu/bits/math-vector.h
+++ b/sysdeps/aarch64/fpu/bits/math-vector.h
@@ -57,6 +57,7 @@ __vpcs __f32x4_t _ZGVnN4v_cosf (__f32x4_t);
 __vpcs __f32x4_t _ZGVnN4v_expf (__f32x4_t);
 __vpcs __f32x4_t _ZGVnN4v_exp10f (__f32x4_t);
 __vpcs __f32x4_t _ZGVnN4v_exp2f (__f32x4_t);
+__vpcs __f32x4_t _ZGVnN4v_expm1f (__f32x4_t);
 __vpcs __f32x4_t _ZGVnN4v_logf (__f32x4_t);
 __vpcs __f32x4_t _ZGVnN4v_log10f (__f32x4_t);
 __vpcs __f32x4_t _ZGVnN4v_log1pf (__f32x4_t);
@@ -72,6 +73,7 @@ __vpcs __f64x2_t _ZGVnN2v_cos (__f64x2_t);
 __vpcs __f64x2_t _ZGVnN2v_exp (__f64x2_t);
 __vpcs __f64x2_t _ZGVnN2v_exp10 (__f64x2_t);
 __vpcs __f64x2_t _ZGVnN2v_exp2 (__f64x2_t);
+__vpcs __f64x2_t _ZGVnN2v_expm1 (__f64x2_t);
 __vpcs __f64x2_t _ZGVnN2v_log (__f64x2_t);
 __vpcs __f64x2_t _ZGVnN2v_log10 (__f64x2_t);
 __vpcs __f64x2_t _ZGVnN2v_log1p (__f64x2_t);
@@ -92,6 +94,7 @@ __sv_f32_t _ZGVsMxv_cosf (__sv_f32_t, __sv_bool_t);
 __sv_f32_t _ZGVsMxv_expf (__sv_f32_t, __sv_bool_t);
 __sv_f32_t _ZGVsMxv_exp10f (__sv_f32_t, __sv_bool_t);
 __sv_f32_t _ZGVsMxv_exp2f (__sv_f32_t, __sv_bool_t);
+__sv_f32_t _ZGVsMxv_expm1f (__sv_f32_t, __sv_bool_t);
 __sv_f32_t _ZGVsMxv_logf (__sv_f32_t, __sv_bool_t);
 __sv_f32_t _ZGVsMxv_log10f (__sv_f32_t, __sv_bool_t);
 __sv_f32_t _ZGVsMxv_log1pf (__sv_f32_t, __sv_bool_t);
@@ -107,6 +110,7 @@ __sv_f64_t _ZGVsMxv_cos (__sv_f64_t, __sv_bool_t);
 __sv_f64_t _ZGVsMxv_exp (__sv_f64_t, __sv_bool_t);
 __sv_f64_t _ZGVsMxv_exp10 (__sv_f64_t, __sv_bool_t);
 __sv_f64_t _ZGVsMxv_exp2 (__sv_f64_t, __sv_bool_t);
+__sv_f64_t _ZGVsMxv_expm1 (__sv_f64_t, __sv_bool_t);
 __sv_f64_t _ZGVsMxv_log (__sv_f64_t, __sv_bool_t);
 __sv_f64_t _ZGVsMxv_log10 (__sv_f64_t, __sv_bool_t);
 __sv_f64_t _ZGVsMxv_log1p (__sv_f64_t, __sv_bool_t);

diff --git a/sysdeps/aarch64/fpu/expm1_advsimd.c b/sysdeps/aarch64/fpu/expm1_advsimd.c
new file mode 100644 (file)
index 0000000..a3aed8e
--- /dev/null
+++ b/sysdeps/aarch64/fpu/expm1_advsimd.c
@@ -0,0 +1,122 @@
+/* Double-precision AdvSIMD expm1
+
+   Copyright (C) 2023 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 "v_math.h"
+#include "poly_advsimd_f64.h"
+
+static const struct data
+{
+  float64x2_t poly[11];
+  float64x2_t invln2, ln2_lo, ln2_hi, shift;
+  int64x2_t exponent_bias;
+#if WANT_SIMD_EXCEPT
+  uint64x2_t thresh, tiny_bound;
+#else
+  float64x2_t oflow_bound;
+#endif
+} data = {
+  /* Generated using fpminimax, with degree=12 in [log(2)/2, log(2)/2].  */
+  .poly = { V2 (0x1p-1), V2 (0x1.5555555555559p-3), V2 (0x1.555555555554bp-5),
+           V2 (0x1.111111110f663p-7), V2 (0x1.6c16c16c1b5f3p-10),
+           V2 (0x1.a01a01affa35dp-13), V2 (0x1.a01a018b4ecbbp-16),
+           V2 (0x1.71ddf82db5bb4p-19), V2 (0x1.27e517fc0d54bp-22),
+           V2 (0x1.af5eedae67435p-26), V2 (0x1.1f143d060a28ap-29) },
+  .invln2 = V2 (0x1.71547652b82fep0),
+  .ln2_hi = V2 (0x1.62e42fefa39efp-1),
+  .ln2_lo = V2 (0x1.abc9e3b39803fp-56),
+  .shift = V2 (0x1.8p52),
+  .exponent_bias = V2 (0x3ff0000000000000),
+#if WANT_SIMD_EXCEPT
+  /* asuint64(oflow_bound) - asuint64(0x1p-51), shifted left by 1 for abs
+     compare.  */
+  .thresh = V2 (0x78c56fa6d34b552),
+  /* asuint64(0x1p-51) << 1.  */
+  .tiny_bound = V2 (0x3cc0000000000000 << 1),
+#else
+  /* Value above which expm1(x) should overflow. Absolute value of the
+     underflow bound is greater than this, so it catches both cases - there is
+     a small window where fallbacks are triggered unnecessarily.  */
+  .oflow_bound = V2 (0x1.62b7d369a5aa9p+9),
+#endif
+};
+
+static float64x2_t VPCS_ATTR NOINLINE
+special_case (float64x2_t x, float64x2_t y, uint64x2_t special)
+{
+  return v_call_f64 (expm1, x, y, special);
+}
+
+/* Double-precision vector exp(x) - 1 function.
+   The maximum error observed error is 2.18 ULP:
+   _ZGVnN2v_expm1 (0x1.634ba0c237d7bp-2) got 0x1.a8b9ea8d66e22p-2
+                                       want 0x1.a8b9ea8d66e2p-2.  */
+float64x2_t VPCS_ATTR V_NAME_D1 (expm1) (float64x2_t x)
+{
+  const struct data *d = ptr_barrier (&data);
+
+  uint64x2_t ix = vreinterpretq_u64_f64 (x);
+
+#if WANT_SIMD_EXCEPT
+  /* If fp exceptions are to be triggered correctly, fall back to scalar for
+     |x| < 2^-51, |x| > oflow_bound, Inf & NaN. Add ix to itself for
+     shift-left by 1, and compare with thresh which was left-shifted offline -
+     this is effectively an absolute compare.  */
+  uint64x2_t special
+      = vcgeq_u64 (vsubq_u64 (vaddq_u64 (ix, ix), d->tiny_bound), d->thresh);
+  if (__glibc_unlikely (v_any_u64 (special)))
+    x = v_zerofy_f64 (x, special);
+#else
+  /* Large input, NaNs and Infs.  */
+  uint64x2_t special = vceqzq_u64 (vcaltq_f64 (x, d->oflow_bound));
+#endif
+
+  /* Reduce argument to smaller range:
+     Let i = round(x / ln2)
+     and f = x - i * ln2, then f is in [-ln2/2, ln2/2].
+     exp(x) - 1 = 2^i * (expm1(f) + 1) - 1
+     where 2^i is exact because i is an integer.  */
+  float64x2_t n = vsubq_f64 (vfmaq_f64 (d->shift, d->invln2, x), d->shift);
+  int64x2_t i = vcvtq_s64_f64 (n);
+  float64x2_t f = vfmsq_f64 (x, n, d->ln2_hi);
+  f = vfmsq_f64 (f, n, d->ln2_lo);
+
+  /* Approximate expm1(f) using polynomial.
+     Taylor expansion for expm1(x) has the form:
+        x + ax^2 + bx^3 + cx^4 ....
+     So we calculate the polynomial P(f) = a + bf + cf^2 + ...
+     and assemble the approximation expm1(f) ~= f + f^2 * P(f).  */
+  float64x2_t f2 = vmulq_f64 (f, f);
+  float64x2_t f4 = vmulq_f64 (f2, f2);
+  float64x2_t f8 = vmulq_f64 (f4, f4);
+  float64x2_t p = vfmaq_f64 (f, f2, v_estrin_10_f64 (f, f2, f4, f8, d->poly));
+
+  /* Assemble the result.
+     expm1(x) ~= 2^i * (p + 1) - 1
+     Let t = 2^i.  */
+  int64x2_t u = vaddq_s64 (vshlq_n_s64 (i, 52), d->exponent_bias);
+  float64x2_t t = vreinterpretq_f64_s64 (u);
+
+  if (__glibc_unlikely (v_any_u64 (special)))
+    return special_case (vreinterpretq_f64_u64 (ix),
+                        vfmaq_f64 (vsubq_f64 (t, v_f64 (1.0)), p, t),
+                        special);
+
+  /* expm1(x) ~= p * t + (t - 1).  */
+  return vfmaq_f64 (vsubq_f64 (t, v_f64 (1.0)), p, t);
+}

diff --git a/sysdeps/aarch64/fpu/expm1_sve.c b/sysdeps/aarch64/fpu/expm1_sve.c
new file mode 100644 (file)
index 0000000..50646af
--- /dev/null
+++ b/sysdeps/aarch64/fpu/expm1_sve.c
@@ -0,0 +1,99 @@
+/* Double-precision SVE expm1
+
+   Copyright (C) 2023 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 "sv_math.h"
+#include "poly_sve_f64.h"
+
+#define SpecialBound 0x1.62b7d369a5aa9p+9
+#define ExponentBias 0x3ff0000000000000
+
+static const struct data
+{
+  double poly[11];
+  double shift, inv_ln2, special_bound;
+  /* To be loaded in one quad-word.  */
+  double ln2_hi, ln2_lo;
+} data = {
+  /* Generated using fpminimax.  */
+  .poly = { 0x1p-1, 0x1.5555555555559p-3, 0x1.555555555554bp-5,
+            0x1.111111110f663p-7, 0x1.6c16c16c1b5f3p-10, 0x1.a01a01affa35dp-13,
+            0x1.a01a018b4ecbbp-16, 0x1.71ddf82db5bb4p-19, 0x1.27e517fc0d54bp-22,
+            0x1.af5eedae67435p-26, 0x1.1f143d060a28ap-29, },
+
+  .special_bound = SpecialBound,
+  .inv_ln2 = 0x1.71547652b82fep0,
+  .ln2_hi = 0x1.62e42fefa39efp-1,
+  .ln2_lo = 0x1.abc9e3b39803fp-56,
+  .shift = 0x1.8p52,
+};
+
+static svfloat64_t NOINLINE
+special_case (svfloat64_t x, svfloat64_t y, svbool_t pg)
+{
+  return sv_call_f64 (expm1, x, y, pg);
+}
+
+/* Double-precision vector exp(x) - 1 function.
+   The maximum error observed error is 2.18 ULP:
+   _ZGVsMxv_expm1(0x1.634ba0c237d7bp-2) got 0x1.a8b9ea8d66e22p-2
+                                      want 0x1.a8b9ea8d66e2p-2.  */
+svfloat64_t SV_NAME_D1 (expm1) (svfloat64_t x, svbool_t pg)
+{
+  const struct data *d = ptr_barrier (&data);
+
+  /* Large, Nan/Inf.  */
+  svbool_t special = svnot_z (pg, svaclt (pg, x, d->special_bound));
+
+  /* Reduce argument to smaller range:
+     Let i = round(x / ln2)
+     and f = x - i * ln2, then f is in [-ln2/2, ln2/2].
+     exp(x) - 1 = 2^i * (expm1(f) + 1) - 1
+     where 2^i is exact because i is an integer.  */
+  svfloat64_t shift = sv_f64 (d->shift);
+  svfloat64_t n = svsub_x (pg, svmla_x (pg, shift, x, d->inv_ln2), shift);
+  svint64_t i = svcvt_s64_x (pg, n);
+  svfloat64_t ln2 = svld1rq (svptrue_b64 (), &d->ln2_hi);
+  svfloat64_t f = svmls_lane (x, n, ln2, 0);
+  f = svmls_lane (f, n, ln2, 1);
+
+  /* Approximate expm1(f) using polynomial.
+     Taylor expansion for expm1(x) has the form:
+        x + ax^2 + bx^3 + cx^4 ....
+     So we calculate the polynomial P(f) = a + bf + cf^2 + ...
+     and assemble the approximation expm1(f) ~= f + f^2 * P(f).  */
+  svfloat64_t f2 = svmul_x (pg, f, f);
+  svfloat64_t f4 = svmul_x (pg, f2, f2);
+  svfloat64_t f8 = svmul_x (pg, f4, f4);
+  svfloat64_t p
+      = svmla_x (pg, f, f2, sv_estrin_10_f64_x (pg, f, f2, f4, f8, d->poly));
+
+  /* Assemble the result.
+   expm1(x) ~= 2^i * (p + 1) - 1
+   Let t = 2^i.  */
+  svint64_t u = svadd_x (pg, svlsl_x (pg, i, 52), ExponentBias);
+  svfloat64_t t = svreinterpret_f64 (u);
+
+  /* expm1(x) ~= p * t + (t - 1).  */
+  svfloat64_t y = svmla_x (pg, svsub_x (pg, t, 1), p, t);
+
+  if (__glibc_unlikely (svptest_any (pg, special)))
+    return special_case (x, y, special);
+
+  return y;
+}

diff --git a/sysdeps/aarch64/fpu/expm1f_advsimd.c b/sysdeps/aarch64/fpu/expm1f_advsimd.c
new file mode 100644 (file)
index 0000000..b27b750
--- /dev/null
+++ b/sysdeps/aarch64/fpu/expm1f_advsimd.c
@@ -0,0 +1,117 @@
+/* Single-precision AdvSIMD expm1
+
+   Copyright (C) 2023 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 "v_math.h"
+#include "poly_advsimd_f32.h"
+
+static const struct data
+{
+  float32x4_t poly[5];
+  float32x4_t invln2, ln2_lo, ln2_hi, shift;
+  int32x4_t exponent_bias;
+#if WANT_SIMD_EXCEPT
+  uint32x4_t thresh;
+#else
+  float32x4_t oflow_bound;
+#endif
+} data = {
+  /* Generated using fpminimax with degree=5 in [-log(2)/2, log(2)/2].  */
+  .poly = { V4 (0x1.fffffep-2), V4 (0x1.5554aep-3), V4 (0x1.555736p-5),
+           V4 (0x1.12287cp-7), V4 (0x1.6b55a2p-10) },
+  .invln2 = V4 (0x1.715476p+0f),
+  .ln2_hi = V4 (0x1.62e4p-1f),
+  .ln2_lo = V4 (0x1.7f7d1cp-20f),
+  .shift = V4 (0x1.8p23f),
+  .exponent_bias = V4 (0x3f800000),
+#if !WANT_SIMD_EXCEPT
+  /* Value above which expm1f(x) should overflow. Absolute value of the
+     underflow bound is greater than this, so it catches both cases - there is
+     a small window where fallbacks are triggered unnecessarily.  */
+  .oflow_bound = V4 (0x1.5ebc4p+6),
+#else
+  /* asuint(oflow_bound) - asuint(0x1p-23), shifted left by 1 for absolute
+     compare.  */
+  .thresh = V4 (0x1d5ebc40),
+#endif
+};
+
+/* asuint(0x1p-23), shifted by 1 for abs compare.  */
+#define TinyBound v_u32 (0x34000000 << 1)
+
+static float32x4_t VPCS_ATTR NOINLINE
+special_case (float32x4_t x, float32x4_t y, uint32x4_t special)
+{
+  return v_call_f32 (expm1f, x, y, special);
+}
+
+/* Single-precision vector exp(x) - 1 function.
+   The maximum error is 1.51 ULP:
+   _ZGVnN4v_expm1f (0x1.8baa96p-2) got 0x1.e2fb9p-2
+                                 want 0x1.e2fb94p-2.  */
+float32x4_t VPCS_ATTR V_NAME_F1 (expm1) (float32x4_t x)
+{
+  const struct data *d = ptr_barrier (&data);
+  uint32x4_t ix = vreinterpretq_u32_f32 (x);
+
+#if WANT_SIMD_EXCEPT
+  /* If fp exceptions are to be triggered correctly, fall back to scalar for
+     |x| < 2^-23, |x| > oflow_bound, Inf & NaN. Add ix to itself for
+     shift-left by 1, and compare with thresh which was left-shifted offline -
+     this is effectively an absolute compare.  */
+  uint32x4_t special
+      = vcgeq_u32 (vsubq_u32 (vaddq_u32 (ix, ix), TinyBound), d->thresh);
+  if (__glibc_unlikely (v_any_u32 (special)))
+    x = v_zerofy_f32 (x, special);
+#else
+  /* Handles very large values (+ve and -ve), +/-NaN, +/-Inf.  */
+  uint32x4_t special = vceqzq_u32 (vcaltq_f32 (x, d->oflow_bound));
+#endif
+
+  /* Reduce argument to smaller range:
+     Let i = round(x / ln2)
+     and f = x - i * ln2, then f is in [-ln2/2, ln2/2].
+     exp(x) - 1 = 2^i * (expm1(f) + 1) - 1
+     where 2^i is exact because i is an integer.  */
+  float32x4_t j = vsubq_f32 (vfmaq_f32 (d->shift, d->invln2, x), d->shift);
+  int32x4_t i = vcvtq_s32_f32 (j);
+  float32x4_t f = vfmsq_f32 (x, j, d->ln2_hi);
+  f = vfmsq_f32 (f, j, d->ln2_lo);
+
+  /* Approximate expm1(f) using polynomial.
+     Taylor expansion for expm1(x) has the form:
+        x + ax^2 + bx^3 + cx^4 ....
+     So we calculate the polynomial P(f) = a + bf + cf^2 + ...
+     and assemble the approximation expm1(f) ~= f + f^2 * P(f).  */
+  float32x4_t p = v_horner_4_f32 (f, d->poly);
+  p = vfmaq_f32 (f, vmulq_f32 (f, f), p);
+
+  /* Assemble the result.
+     expm1(x) ~= 2^i * (p + 1) - 1
+     Let t = 2^i.  */
+  int32x4_t u = vaddq_s32 (vshlq_n_s32 (i, 23), d->exponent_bias);
+  float32x4_t t = vreinterpretq_f32_s32 (u);
+
+  if (__glibc_unlikely (v_any_u32 (special)))
+    return special_case (vreinterpretq_f32_u32 (ix),
+                        vfmaq_f32 (vsubq_f32 (t, v_f32 (1.0f)), p, t),
+                        special);
+
+  /* expm1(x) ~= p * t + (t - 1).  */
+  return vfmaq_f32 (vsubq_f32 (t, v_f32 (1.0f)), p, t);
+}

diff --git a/sysdeps/aarch64/fpu/expm1f_sve.c b/sysdeps/aarch64/fpu/expm1f_sve.c
new file mode 100644 (file)
index 0000000..96e579e
--- /dev/null
+++ b/sysdeps/aarch64/fpu/expm1f_sve.c
@@ -0,0 +1,99 @@
+/* Single-precision SVE expm1
+
+   Copyright (C) 2023 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 "sv_math.h"
+#include "poly_sve_f32.h"
+
+/* Largest value of x for which expm1(x) should round to -1.  */
+#define SpecialBound 0x1.5ebc4p+6f
+
+static const struct data
+{
+  /* These 4 are grouped together so they can be loaded as one quadword, then
+     used with _lane forms of svmla/svmls.  */
+  float c2, c4, ln2_hi, ln2_lo;
+  float c0, c1, c3, inv_ln2, special_bound, shift;
+} data = {
+  /* Generated using fpminimax.  */
+  .c0 = 0x1.fffffep-2,          .c1 = 0x1.5554aep-3,
+  .c2 = 0x1.555736p-5,          .c3 = 0x1.12287cp-7,
+  .c4 = 0x1.6b55a2p-10,
+
+  .special_bound = SpecialBound, .shift = 0x1.8p23f,
+  .inv_ln2 = 0x1.715476p+0f,    .ln2_hi = 0x1.62e4p-1f,
+  .ln2_lo = 0x1.7f7d1cp-20f,
+};
+
+#define C(i) sv_f32 (d->c##i)
+
+static svfloat32_t NOINLINE
+special_case (svfloat32_t x, svbool_t pg)
+{
+  return sv_call_f32 (expm1f, x, x, pg);
+}
+
+/* Single-precision SVE exp(x) - 1. Maximum error is 1.52 ULP:
+   _ZGVsMxv_expm1f(0x1.8f4ebcp-2) got 0x1.e859dp-2
+                                want 0x1.e859d4p-2.  */
+svfloat32_t SV_NAME_F1 (expm1) (svfloat32_t x, svbool_t pg)
+{
+  const struct data *d = ptr_barrier (&data);
+
+  /* Large, NaN/Inf.  */
+  svbool_t special = svnot_z (pg, svaclt (pg, x, d->special_bound));
+
+  if (__glibc_unlikely (svptest_any (pg, special)))
+    return special_case (x, pg);
+
+  /* This vector is reliant on layout of data - it contains constants
+     that can be used with _lane forms of svmla/svmls. Values are:
+     [ coeff_2, coeff_4, ln2_hi, ln2_lo ].  */
+  svfloat32_t lane_constants = svld1rq (svptrue_b32 (), &d->c2);
+
+  /* Reduce argument to smaller range:
+     Let i = round(x / ln2)
+     and f = x - i * ln2, then f is in [-ln2/2, ln2/2].
+     exp(x) - 1 = 2^i * (expm1(f) + 1) - 1
+     where 2^i is exact because i is an integer.  */
+  svfloat32_t j = svmla_x (pg, sv_f32 (d->shift), x, d->inv_ln2);
+  j = svsub_x (pg, j, d->shift);
+  svint32_t i = svcvt_s32_x (pg, j);
+
+  svfloat32_t f = svmls_lane (x, j, lane_constants, 2);
+  f = svmls_lane (f, j, lane_constants, 3);
+
+  /* Approximate expm1(f) using polynomial.
+     Taylor expansion for expm1(x) has the form:
+        x + ax^2 + bx^3 + cx^4 ....
+     So we calculate the polynomial P(f) = a + bf + cf^2 + ...
+     and assemble the approximation expm1(f) ~= f + f^2 * P(f).  */
+  svfloat32_t p12 = svmla_lane (C (1), f, lane_constants, 0);
+  svfloat32_t p34 = svmla_lane (C (3), f, lane_constants, 1);
+  svfloat32_t f2 = svmul_x (pg, f, f);
+  svfloat32_t p = svmla_x (pg, p12, f2, p34);
+  p = svmla_x (pg, C (0), f, p);
+  p = svmla_x (pg, f, f2, p);
+
+  /* Assemble the result.
+     expm1(x) ~= 2^i * (p + 1) - 1
+     Let t = 2^i.  */
+  svfloat32_t t = svreinterpret_f32 (
+      svadd_x (pg, svreinterpret_u32 (svlsl_x (pg, i, 23)), 0x3f800000));
+  return svmla_x (pg, svsub_x (pg, t, 1), p, t);
+}

diff --git a/sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c b/sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c
index fc9e7aec47ce9de1adc70a46b069ef45cb305e68..bf495450d786a96577fdc64a2e9d85485b2f2c61 100644 (file)
--- a/sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c
+++ b/sysdeps/aarch64/fpu/test-double-advsimd-wrappers.c
@@ -31,6 +31,7 @@ VPCS_VECTOR_WRAPPER (cos_advsimd, _ZGVnN2v_cos)
 VPCS_VECTOR_WRAPPER (exp_advsimd, _ZGVnN2v_exp)
 VPCS_VECTOR_WRAPPER (exp10_advsimd, _ZGVnN2v_exp10)
 VPCS_VECTOR_WRAPPER (exp2_advsimd, _ZGVnN2v_exp2)
+VPCS_VECTOR_WRAPPER (expm1_advsimd, _ZGVnN2v_expm1)
 VPCS_VECTOR_WRAPPER (log_advsimd, _ZGVnN2v_log)
 VPCS_VECTOR_WRAPPER (log10_advsimd, _ZGVnN2v_log10)
 VPCS_VECTOR_WRAPPER (log1p_advsimd, _ZGVnN2v_log1p)

diff --git a/sysdeps/aarch64/fpu/test-double-sve-wrappers.c b/sysdeps/aarch64/fpu/test-double-sve-wrappers.c
index aea589d5fbadb9adc072ab45ffecd06de5d926fb..b5a627ad4740c4e06bc9afd064335745d2733fb8 100644 (file)
--- a/sysdeps/aarch64/fpu/test-double-sve-wrappers.c
+++ b/sysdeps/aarch64/fpu/test-double-sve-wrappers.c
@@ -50,6 +50,7 @@ SVE_VECTOR_WRAPPER (cos_sve, _ZGVsMxv_cos)
 SVE_VECTOR_WRAPPER (exp_sve, _ZGVsMxv_exp)
 SVE_VECTOR_WRAPPER (exp10_sve, _ZGVsMxv_exp10)
 SVE_VECTOR_WRAPPER (exp2_sve, _ZGVsMxv_exp2)
+SVE_VECTOR_WRAPPER (expm1_sve, _ZGVsMxv_expm1)
 SVE_VECTOR_WRAPPER (log_sve, _ZGVsMxv_log)
 SVE_VECTOR_WRAPPER (log10_sve, _ZGVsMxv_log10)
 SVE_VECTOR_WRAPPER (log1p_sve, _ZGVsMxv_log1p)

diff --git a/sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c b/sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c
index 446fd7f538808a0e071a00dde68bfd6a8277ce23..26d9e98739566724e5f773338d0b617d5f04eea2 100644 (file)
--- a/sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c
+++ b/sysdeps/aarch64/fpu/test-float-advsimd-wrappers.c
@@ -31,6 +31,7 @@ VPCS_VECTOR_WRAPPER (cosf_advsimd, _ZGVnN4v_cosf)
 VPCS_VECTOR_WRAPPER (expf_advsimd, _ZGVnN4v_expf)
 VPCS_VECTOR_WRAPPER (exp10f_advsimd, _ZGVnN4v_exp10f)
 VPCS_VECTOR_WRAPPER (exp2f_advsimd, _ZGVnN4v_exp2f)
+VPCS_VECTOR_WRAPPER (expm1f_advsimd, _ZGVnN4v_expm1f)
 VPCS_VECTOR_WRAPPER (logf_advsimd, _ZGVnN4v_logf)
 VPCS_VECTOR_WRAPPER (log10f_advsimd, _ZGVnN4v_log10f)
 VPCS_VECTOR_WRAPPER (log1pf_advsimd, _ZGVnN4v_log1pf)

diff --git a/sysdeps/aarch64/fpu/test-float-sve-wrappers.c b/sysdeps/aarch64/fpu/test-float-sve-wrappers.c
index ac17f608562d35ee6aa949171ce70036bb25950b..f286ee64c99f140ea62a9465ef40dc4cf1db5e9c 100644 (file)
--- a/sysdeps/aarch64/fpu/test-float-sve-wrappers.c
+++ b/sysdeps/aarch64/fpu/test-float-sve-wrappers.c
@@ -50,6 +50,7 @@ SVE_VECTOR_WRAPPER (cosf_sve, _ZGVsMxv_cosf)
 SVE_VECTOR_WRAPPER (expf_sve, _ZGVsMxv_expf)
 SVE_VECTOR_WRAPPER (exp10f_sve, _ZGVsMxv_exp10f)
 SVE_VECTOR_WRAPPER (exp2f_sve, _ZGVsMxv_exp2f)
+SVE_VECTOR_WRAPPER (expm1f_sve, _ZGVsMxv_expm1f)
 SVE_VECTOR_WRAPPER (logf_sve, _ZGVsMxv_logf)
 SVE_VECTOR_WRAPPER (log10f_sve, _ZGVsMxv_log10f)
 SVE_VECTOR_WRAPPER (log1pf_sve, _ZGVsMxv_log1pf)

diff --git a/sysdeps/aarch64/libm-test-ulps b/sysdeps/aarch64/libm-test-ulps
index a6b2f29a6ffd8a6804d0a5a6c1b87c110fd29450..1d52bf9ebf534f1a7db397aea5245c62f47544dd 100644 (file)
--- a/sysdeps/aarch64/libm-test-ulps
+++ b/sysdeps/aarch64/libm-test-ulps
@@ -1078,11 +1078,19 @@ double: 1
 float: 1
 ldouble: 2
 
+Function: "expm1_advsimd":
+double: 2
+float: 1
+
 Function: "expm1_downward":
 double: 1
 float: 1
 ldouble: 2
 
+Function: "expm1_sve":
+double: 2
+float: 1
+
 Function: "expm1_towardzero":
 double: 1
 float: 2

diff --git a/sysdeps/unix/sysv/linux/aarch64/libmvec.abilist b/sysdeps/unix/sysv/linux/aarch64/libmvec.abilist
index 0f20b5be2954fd3513f486953b67386b01a9731b..2bf4ea63325eab76f810a58a545040471b7a6b2d 100644 (file)
--- a/sysdeps/unix/sysv/linux/aarch64/libmvec.abilist
+++ b/sysdeps/unix/sysv/linux/aarch64/libmvec.abilist
@@ -19,6 +19,7 @@ GLIBC_2.39 _ZGVnN2v_asin F
 GLIBC_2.39 _ZGVnN2v_atan F
 GLIBC_2.39 _ZGVnN2v_exp10 F
 GLIBC_2.39 _ZGVnN2v_exp2 F
+GLIBC_2.39 _ZGVnN2v_expm1 F
 GLIBC_2.39 _ZGVnN2v_log10 F
 GLIBC_2.39 _ZGVnN2v_log1p F
 GLIBC_2.39 _ZGVnN2v_log2 F
@@ -29,6 +30,7 @@ GLIBC_2.39 _ZGVnN4v_asinf F
 GLIBC_2.39 _ZGVnN4v_atanf F
 GLIBC_2.39 _ZGVnN4v_exp10f F
 GLIBC_2.39 _ZGVnN4v_exp2f F
+GLIBC_2.39 _ZGVnN4v_expm1f F
 GLIBC_2.39 _ZGVnN4v_log10f F
 GLIBC_2.39 _ZGVnN4v_log1pf F
 GLIBC_2.39 _ZGVnN4v_log2f F
@@ -44,6 +46,8 @@ GLIBC_2.39 _ZGVsMxv_exp10 F
 GLIBC_2.39 _ZGVsMxv_exp10f F
 GLIBC_2.39 _ZGVsMxv_exp2 F
 GLIBC_2.39 _ZGVsMxv_exp2f F
+GLIBC_2.39 _ZGVsMxv_expm1 F
+GLIBC_2.39 _ZGVsMxv_expm1f F
 GLIBC_2.39 _ZGVsMxv_log10 F
 GLIBC_2.39 _ZGVsMxv_log10f F
 GLIBC_2.39 _ZGVsMxv_log1p F