Sinh

Function Asinh

The Asinh function computes an inverse hyperbolic sine.

Performance:

	Default processor	Pentium® III processor	Pentium® 4 processor	Itanium® processor
vsAsinh (HA version)	159.0	45.4	32.9	14.3
vdAsinh (HA version)	115.9	115.9	104.4	18.5

Notes:
1) Units - CPE (Clocks per Element)
2) Performance was measured on "working" interval (double precision: [3.5,1e+154]; single precision: [3.0,1e+19])
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
vsAsinh (HA version)	0.70	0.88	0.88	0.51
vdAsinh (HA version)	0.81	0.81	0.81	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
vsAsinh/vdAsinh (HA version)	0	0	+	+	+	+
	NaN (Both QNaN and SNaN)	NaN (Raise Invalid Exeption for SnaN)	+	+	+	+
	+ Inf	+ Inf	+	+	+	+
	- Inf	- Inf	+	+	+	+

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