Tanh

Function Tanh

The Tanh function computes a hyperbolic tangent.

Performance:

	Default processor	Pentium® III processor	Pentium® 4 processor	Itanium® processor
vsTanh (HA version)	52.3	52.2	40.8	11.2
vdTanh (HA version)	112.1	112.1	69.0	14.4

Notes:
1) Units - CPE (Clocks per Element)
2) Performance was measured on "working" interval (double precision: [-20,20]; single precision: [-10,10])
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 Pentium® III processor

Notes:
1) *        X87 code for all processors
2) **      Pentium® III processor
3) ***    Pentium® 4 processor
4) **** Itanium® processor
5) Logarithmic scale is used for "Vectors Size" axis

Maximal observed error for the whole function domain:

	Default processor	Pentium® III processor	Pentium® 4 processor	Itanium® processor
vsTanh (HA version)	0.76	0.76	0.50	0.51
vdTanh (HA version)	0.88	0.88	0.79	0.52

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

Special values:

Function	Input Argument	Result	Default processor	Pentium® III processor	Pentium® 4 processor	Itanium® processor
vsTanh/vdTanh (HA version)	0	0	+	+	+	+
	+/- Inf	+/- 1	+	+	+	+
	NaN (Both QNaN and SNaN)	NaN	+	+	+	+

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