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-rw-r--r--src/math/i386/acos.s18
-rw-r--r--src/math/x86_64/acosl.s18
2 files changed, 16 insertions, 20 deletions
diff --git a/src/math/i386/acos.s b/src/math/i386/acos.s
index bfff0c5c..47f365ef 100644
--- a/src/math/i386/acos.s
+++ b/src/math/i386/acos.s
@@ -1,3 +1,5 @@
+# use acos(x) = atan2(fabs(sqrt((1-x)*(1+x))), x)
+
 .global acosf
 .type acosf,@function
 acosf:
@@ -14,17 +16,13 @@ acosl:
 .type acos,@function
 acos:
 	fldl 4(%esp)
-1:	fld1
-	fld %st(1)
+1:	fld %st(0)
 	fld1
-	fsubp
-	fsqrt
-	fxch %st(2)
-	faddp
+	fsub %st(0),%st(1)
+	fadd %st(2)
+	fmulp
 	fsqrt
+	fabs         # fix sign of zero (matters in downward rounding mode)
+	fxch %st(1)
 	fpatan
-	fld1
-	fld1
-	faddp
-	fmulp
 	ret
diff --git a/src/math/x86_64/acosl.s b/src/math/x86_64/acosl.s
index db68d2de..88e01b49 100644
--- a/src/math/x86_64/acosl.s
+++ b/src/math/x86_64/acosl.s
@@ -1,18 +1,16 @@
+# see ../i386/acos.s
+
 .global acosl
 .type acosl,@function
 acosl:
 	fldt 8(%rsp)
+1:	fld %st(0)
 	fld1
-	fld %st(1)
-	fld1
-	fsubp
-	fsqrt
-	fxch %st(2)
-	faddp
+	fsub %st(0),%st(1)
+	fadd %st(2)
+	fmulp
 	fsqrt
+	fabs
+	fxch %st(1)
 	fpatan
-	fld1
-	fld1
-	faddp
-	fmulp
 	ret