Time calculation for AC/DC functions

This program is made with ESP-IDF V4.4.2, His goal is to measure the time the ESP take to calculate those formula. Used to calculate effective and mean value of a AC or a rectified Sin, in order to give VRMS values.

NOTA BENE : The watchdog has been desactivated (component config -> esp system config -> initalize task watchdog timer on startup (to disable))

Other try :

• powf : increase time by 1.7 (2520 instead of 1495) use simple multiplication for same result
• pow : increase time by 3.19 (4769 instead of 1495) use simple multiplication for same result
• Increasing the CPU freqency by X divide the calculation time by X (as expected)

How values are calculated ?

Hardware Settings :

ESP32-S2, CPU clock : 80MHz
Sampling : 1000 Hz
Sampling Number : 1024
Number of try : 5000 times

Quick reminder to ckeck results :

Cosin function :

$V_{Effective} = \frac{V_{Max}}{\sqrt{2}}$

$V_{Mean} = 0$

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Half-Wave Rectification :

$V_{Effective} = \frac{V_{Max}}{2}$

$V_{Mean} = \frac{V_{Max}}{\pi}$

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Full-Wave Rectification :

$V_{Effective} = \frac{V_{Max} \times \sqrt{2}}{2}$

$V_{Mean} = \frac{V_{Max} \times 2}{\pi}$

Cosin Function Results :

Caracteristics : f = 50Hz, A = 20

Float Results

Effective :

Method	Result	Time (us)
Left	14.15	1505
Right	14.14	1505
Trapezoidal	14.15	1510
Calculs	14.14	By Hands

Mean :

Method	Result	Time (us)
Left	00.05	928
Right	00.06	928
Trapezoidal	00.06	932
Basic	00.07	899

Double Results

TODO

Half-Wave Rectification Function Results :

Caracteristics : f = 50Hz, A = 20

Float Results

Effective :

Method	Result	Time (us)
Left	10.03	1386
Right	10.02	1386
Trapezoidal	10.03	1391
Calculs	10.00	By Hands

Mean :

Method	Result	Time (us)
Left	06.34	744
Right	06.33	743
Trapezoidal	06.35	747
Basic	06.35	715
Calculs	06.36	By Hands

Double Results

TODO

Full-Wave Rectification Function Results :

Caracteristics : f = 50Hz, A = 20

Float Results

Effective :

Method	Result	Time (us)
Left	13.83	1496
Right	13.82	1496
Trapezoidal	13.82	1501
Calculs	14.14 ??	By Hands

Mean :

Method	Result	Time (us)
Left	12.31	754
Right	12.31	754
Trapezoidal	12.31	757
Basic	12.32	725
Calculs	12.73	By Hands

Double Results

TODO