- [Average Directional Movement Index (ADX)](#average-directional-movement-index-adx)
- [Calculation](#calculation)
- [Average Directional Movement Index Rate (ADXR)](#average-directional-movement-index-rate-adxr)
- [Calculation](#calculation-1)
- [Directional Movement Index (DX)](#directional-movement-index-dx)
- [Calculation](#calculation-2)
<a name="adxmd"></a>
# Average Directional Movement Index (ADX)
```
use ta_common::traits::Indicator;
use dx_rs::ADX;
let mut adx = ADX::new(5);
assert_eq!(adx.next([82.15, 81.29, 81.59, ]), None);
assert_eq!(adx.next([81.89, 80.64, 81.06, ]), None);
assert_eq!(adx.next([83.03, 81.31, 82.87, ]), None);
assert_eq!(adx.next([83.30, 82.65, 83.00, ]), None);
assert_eq!(adx.next([83.85, 83.07, 83.61, ]), None);
assert_eq!(adx.next([83.90, 83.11, 83.15, ]), None);
assert_eq!(adx.next([83.33, 82.49, 82.84, ]), None);
assert_eq!(adx.next([84.30, 82.30, 83.99, ]), None);
assert_eq!(adx.next([84.84, 84.15, 84.55, ]), Some(42.02843532361666));
assert_eq!(adx.next([85.00, 84.11, 84.36, ]), Some(45.030197751280795));
assert_eq!(adx.next([85.90, 84.03, 85.53, ]), Some(50.278112805162785));
assert_eq!(adx.next([86.58, 85.39, 86.54, ]), Some(55.845790397341815));
assert_eq!(adx.next([86.98, 85.76, 86.89, ]), Some(60.952506055817096));
assert_eq!(adx.next([88.00, 87.17, 87.77, ]), Some(66.23762155833865));
assert_eq!(adx.next([87.87, 87.01, 87.29, ]), Some(68.23912145931837));
```
### Calculation
ADX<sub>t</sub>=k*ADX<sub>t-1</sub> + DX(input)
where k=(period-1)/period
<a name="adxrmd"></a>
# Average Directional Movement Index Rate (ADXR)
```
use ta_common::traits::Indicator;
use dx_rs::ADXR;
let mut adxr = ADXR::new(5);
assert_eq!(adxr.next([82.15, 81.29, 81.59]), None);
assert_eq!(adxr.next([81.89, 80.64, 81.06]), None);
assert_eq!(adxr.next([83.03, 81.31, 82.87]), None);
assert_eq!(adxr.next([83.30, 82.65, 83.00]), None);
assert_eq!(adxr.next([83.85, 83.07, 83.61]), None);
assert_eq!(adxr.next([83.90, 83.11, 83.15]), None);
assert_eq!(adxr.next([83.33, 82.49, 82.84]), None);
assert_eq!(adxr.next([84.30, 82.30, 83.99]), None);
assert_eq!(adxr.next([84.84, 84.15, 84.55]), None);
assert_eq!(adxr.next([85.00, 84.11, 84.36]), None);
assert_eq!(adxr.next([85.90, 84.03, 85.53]), None);
assert_eq!(adxr.next([86.58, 85.39, 86.54]), None);
assert_eq!(adxr.next([86.98, 85.76, 86.89]), Some(51.49047068971688));
assert_eq!(adxr.next([88.00, 87.17, 87.77]), Some(55.63390965480972));
assert_eq!(adxr.next([87.87, 87.01, 87.29]), Some(59.25861713224057));
```
### Calculation
ADXR=(ADX<sub>t</sub> + ADX<sub>t-(period-1)</sub>)/2;
<a name="dxmd"></a>
# Directional Movement Index (DX)
```
use ta_common::traits::Indicator;
use dx_rs::DX;
let mut dmi = DX::new(5);
assert_eq!(dmi.next([82.15, 81.29, 81.59, ]), None);
assert_eq!(dmi.next([81.89, 80.64, 81.06, ]), None);
assert_eq!(dmi.next([83.03, 81.31, 82.87, ]), None);
assert_eq!(dmi.next([83.30, 82.65, 83.00, ]), None);
assert_eq!(dmi.next([83.85, 83.07, 83.61, ]), Some(52.68425841674205));
assert_eq!(dmi.next([83.90, 83.11, 83.15, ]), Some(53.99247953992465));
assert_eq!(dmi.next([83.33, 82.49, 82.84, ]), Some(7.795927847023168));
assert_eq!(dmi.next([84.30, 82.30, 83.99, ]), Some(41.88861985472129));
assert_eq!(dmi.next([84.84, 84.15, 84.55, ]), Some(53.78089095967214));
assert_eq!(dmi.next([85.00, 84.11, 84.36, ]), Some(57.03724746193731));
assert_eq!(dmi.next([85.90, 84.03, 85.53, ]), Some(71.26977302069074));
assert_eq!(dmi.next([86.58, 85.39, 86.54, ]), Some(78.11650076605797));
assert_eq!(dmi.next([86.98, 85.76, 86.89, ]), Some(81.37936868971823));
assert_eq!(dmi.next([88.00, 87.17, 87.77, ]), Some(87.37808356842487));
assert_eq!(dmi.next([87.87, 87.01, 87.29, ]), Some(76.24512106323728));
```
### Calculation
```
DX=(dm_diff/dm_sum)*100;
where:
dm_diff=|norm_up -norm_down|;
dm_sum=|norm_up+norm_down|;
norm_up=sm_up/ATR;
norm_down=sm_down/ATR;
sm_up=smoothed(sum of up);
sm_down=smoothed(sum of down);
```