Sqrt

Function Sqrt

The Sqrt function computes a square root.

Performance:

	Default processor	Pentium® III processor	Pentium® 4 processor	Itanium® processor
vsSqrt (HA version)	20.2	8.8	8.9	5.2
vdSqrt (HA version)	34.6	33.4	23.2	7.3

Notes:
1) Units - CPE (Clocks per Element)
2) Performance was measured on "working" interval (double precision: [0,10000]; single precision: [0,10000])
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
vsSqrt (HA version)	0.58	0.77	0.77	0.50
vdSqrt (HA version)	0.70	0.70	0.50	0.50

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
vsSqrt/vdSqrt (HA version)	+/- 0	+/- 0	+	+	+	+
	NaN (Both QNaN and SNaN)	NaN (Raise Invalid Exeption for SNaN)	+	+	+	+
	+ Inf	+ Inf	+	+	+	+
	- Inf	NaN (Raise Invalid Exeption)	+	+	+	+
	x<0	NaN (Raise Invalid Exeption)	+	+	+	+

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