Function Inv

The Inv function performs element by element inversion.

Performance:

 

Default processor

Pentium® III processor

Pentium® 4 processor

Itanium® processor

vsInv (HA version)

10.0

10.1

9.9

3.1

vdInv (HA version)

11.2

11.3

11.7

4.3

Notes:
1) Units - CPE (Clocks per Element)
2) Performance was measured on "working" interval (double precision: [-10000,10000]; single precision: [-10000,10000])
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

vsInv (HA version)

0.50

0.50

0.50

0.50

vdInv (HA version)

0.50

0.50

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

vsInv/vdInv

(HA version)

0

+ Inf (Raise DZ Exeption)

+

+

+

+

NaN (Both QNaN and SNaN)

NaN (Raise Invalid Exeption for SNaN)

+

+

+

+

1

1

+

+

+

+

2

1/2

+

+

+

+

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