Cosh

Function Cosh

The Cosh function computes a hyperbolic cosine.

Performance:

	Default processor	Intel® Pentium® III processor	Intel® Pentium® 4 processor	Intel® Pentium® 4 processor with Streaming SIMD Extensions 3 (SSE3)	Intel® Itanium® 2 processor
vsCosh (HA version)	49.28	37.95	21.52	20.47	7.20
vdCosh (HA version)	72.81	72.17	36.86	39.61	10.24

Notes:
1) Units - CPE (Clocks per Element)
2) Performance was measured on "working" interval (double precision: [-1,1]; single precision: [-1,1] )
3) Data - vectors of 1000 elements with random generated numbers
4) "Default" means X87 code for all IA-32 processors
5) Performance of "default" version was measured on Intel® Pentium® III processor

Notes:
1) *           X87 code for all processors
2) **         Intel® Pentium® III processor
3) ***       Intel® Pentium® 4 processor
4) ****     Intel® Pentium® 4 processor with Streaming SIMD Extensions 3 (SSE3)
5) ***** Intel® Itanium® 2 processor
6) Logarithmic scale is used for "Vectors Size" axis

Maximal observed error for the whole function domain:

	Default processor	Pentium III processor	Pentium 4 processor	Pentium 4 processor with SSE3	Itanium 2 processor
vsCosh (HA version)	0.6103	0.6103	0.7497	0.7497	0.5000
vdCosh (HA version)	0.8124	0.8124	0.7567	0.7567	0.5013

Notes:
1) Units - ULP (Units in The Last Place)

Special values:

Function	Input Argument	Result	Default processor	Pentium III processor	Pentium 4 processor	Pentium 4 processor with SSE3	Itanium 2 processor
vsCosh/vdCosh (HA version)	0	1	+	+	+	+	+
	NaN (Both QnaN and SNaN)	NaN	+	+	+	+	+
	+ Inf	Inf	+	+	+	+	+
	- Inf	Inf	+	+	+	+	+
	x> Precision`s Overflow Threshold	+ Inf (Raise Owerflow Exeption)	+	+	+	+	+
	x< Negative Overflow Threshold	+ Inf (Raise Owerflow Exeption)	+	+	+	+	+

Legal Information