nyx_space::od::process

Struct Duration

#[repr(C)]
pub struct Duration { /* private fields */ }
Expand description

Defines generally usable durations for nanosecond precision valid for 32,768 centuries in either direction, and only on 80 bits / 10 octets.

Important conventions:

  1. The negative durations can be mentally modeled “BC” years. One hours before 01 Jan 0000, it was “-1” years but 365 days and 23h into the current day. It was decided that the nanoseconds corresponds to the nanoseconds into the current century. In other words, a duration with centuries = -1 and nanoseconds = 0 is a greater duration (further from zero) than centuries = -1 and nanoseconds = 1. Duration zero minus one nanosecond returns a century of -1 and a nanosecond set to the number of nanoseconds in one century minus one. That difference is exactly 1 nanoseconds, where the former duration is “closer to zero” than the latter. As such, the largest negative duration that can be represented sets the centuries to i16::MAX and its nanoseconds to NANOSECONDS_PER_CENTURY.
  2. It was also decided that opposite durations are equal, e.g. -15 minutes == 15 minutes. If the direction of time matters, use the signum function.

(Python documentation hints) :type string_repr: str :rtype: Duration

Implementations§

§

impl Duration

pub const ZERO: Duration = _

A duration of exactly zero nanoseconds

pub const MAX: Duration = _

Maximum duration that can be represented

pub const MIN: Duration = _

Minimum duration that can be represented

pub const EPSILON: Duration = _

Smallest duration that can be represented

pub const MIN_POSITIVE: Duration = Self::EPSILON

Minimum positive duration is one nanoseconds

pub const MIN_NEGATIVE: Duration = _

Minimum negative duration is minus one nanosecond

pub fn from_parts(centuries: i16, nanoseconds: u64) -> Duration

Create a normalized duration from its parts

pub fn from_total_nanoseconds(nanos: i128) -> Duration

Converts the total nanoseconds as i128 into this Duration (saving 48 bits)

pub fn from_truncated_nanoseconds(nanos: i64) -> Duration

Create a new duration from the truncated nanoseconds (+/- 2927.1 years of duration)

pub fn from_days(value: f64) -> Duration

Creates a new duration from the provided number of days

pub fn from_hours(value: f64) -> Duration

Creates a new duration from the provided number of hours

pub fn from_seconds(value: f64) -> Duration

Creates a new duration from the provided number of seconds

pub fn from_milliseconds(value: f64) -> Duration

Creates a new duration from the provided number of milliseconds

pub fn from_microseconds(value: f64) -> Duration

Creates a new duration from the provided number of microsecond

pub fn from_nanoseconds(value: f64) -> Duration

Creates a new duration from the provided number of nanoseconds

pub fn compose( sign: i8, days: u64, hours: u64, minutes: u64, seconds: u64, milliseconds: u64, microseconds: u64, nanoseconds: u64, ) -> Duration

Creates a new duration from its parts. Set the sign to a negative number for the duration to be negative.

pub fn compose_f64( sign: i8, days: f64, hours: f64, minutes: f64, seconds: f64, milliseconds: f64, microseconds: f64, nanoseconds: f64, ) -> Duration

Creates a new duration from its parts. Set the sign to a negative number for the duration to be negative.

pub fn from_tz_offset(sign: i8, hours: i64, minutes: i64) -> Duration

Initializes a Duration from a timezone offset

§

impl Duration

pub const fn to_parts(&self) -> (i16, u64)

Returns the centuries and nanoseconds of this duration NOTE: These items are not public to prevent incorrect durations from being created by modifying the values of the structure directly.

pub fn total_nanoseconds(&self) -> i128

Returns the total nanoseconds in a signed 128 bit integer

pub fn try_truncated_nanoseconds(&self) -> Result<i64, HifitimeError>

Returns the truncated nanoseconds in a signed 64 bit integer, if the duration fits.

pub fn truncated_nanoseconds(&self) -> i64

Returns the truncated nanoseconds in a signed 64 bit integer, if the duration fits. WARNING: This function will NOT fail and will return the i64::MIN or i64::MAX depending on the sign of the centuries if the Duration does not fit on aa i64

pub fn to_seconds(&self) -> f64

Returns this duration in seconds f64. For high fidelity comparisons, it is recommended to keep using the Duration structure.

Examples found in repository?
examples/03_geo_analysis/drift.rs (line 176)
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
fn main() -> Result<(), Box<dyn Error>> {
    pel::init();
    // Dynamics models require planetary constants and ephemerides to be defined.
    // Let's start by grabbing those by using ANISE's latest MetaAlmanac.
    // This will automatically download the DE440s planetary ephemeris,
    // the daily-updated Earth Orientation Parameters, the high fidelity Moon orientation
    // parameters (for the Moon Mean Earth and Moon Principal Axes frames), and the PCK11
    // planetary constants kernels.
    // For details, refer to https://github.com/nyx-space/anise/blob/master/data/latest.dhall.
    // Note that we place the Almanac into an Arc so we can clone it cheaply and provide read-only
    // references to many functions.
    let almanac = Arc::new(MetaAlmanac::latest().map_err(Box::new)?);
    // Define the orbit epoch
    let epoch = Epoch::from_gregorian_utc_hms(2024, 2, 29, 12, 13, 14);

    // Define the orbit.
    // First we need to fetch the Earth J2000 from information from the Almanac.
    // This allows the frame to include the gravitational parameters and the shape of the Earth,
    // defined as a tri-axial ellipoid. Note that this shape can be changed manually or in the Almanac
    // by loading a different set of planetary constants.
    let earth_j2000 = almanac.frame_from_uid(EARTH_J2000)?;

    // Placing this GEO bird just above Colorado.
    // In theory, the eccentricity is zero, but in practice, it's about 1e-5 to 1e-6 at best.
    let orbit = Orbit::try_keplerian(42164.0, 1e-5, 0., 163.0, 75.0, 0.0, epoch, earth_j2000)?;
    // Print in in Keplerian form.
    println!("{orbit:x}");

    let state_bf = almanac.transform_to(orbit, IAU_EARTH_FRAME, None)?;
    let (orig_lat_deg, orig_long_deg, orig_alt_km) = state_bf.latlongalt()?;

    // Nyx is used for high fidelity propagation, not Keplerian propagation as above.
    // Nyx only propagates Spacecraft at the moment, which allows it to account for acceleration
    // models such as solar radiation pressure.

    // Let's build a cubesat sized spacecraft, with an SRP area of 10 cm^2 and a mass of 9.6 kg.
    let sc = Spacecraft::builder()
        .orbit(orbit)
        .dry_mass_kg(9.60)
        .srp(SrpConfig {
            area_m2: 10e-4,
            cr: 1.1,
        })
        .build();
    println!("{sc:x}");

    // Set up the spacecraft dynamics.

    // Specify that the orbital dynamics must account for the graviational pull of the Moon and the Sun.
    // The gravity of the Earth will also be accounted for since the spaceraft in an Earth orbit.
    let mut orbital_dyn = OrbitalDynamics::point_masses(vec![MOON, SUN]);

    // We want to include the spherical harmonics, so let's download the gravitational data from the Nyx Cloud.
    // We're using the JGM3 model here, which is the default in GMAT.
    let mut jgm3_meta = MetaFile {
        uri: "http://public-data.nyxspace.com/nyx/models/JGM3.cof.gz".to_string(),
        crc32: Some(0xF446F027), // Specifying the CRC32 avoids redownloading it if it's cached.
    };
    // And let's download it if we don't have it yet.
    jgm3_meta.process(true)?;

    // Build the spherical harmonics.
    // The harmonics must be computed in the body fixed frame.
    // We're using the long term prediction of the Earth centered Earth fixed frame, IAU Earth.
    let harmonics_21x21 = Harmonics::from_stor(
        almanac.frame_from_uid(IAU_EARTH_FRAME)?,
        HarmonicsMem::from_cof(&jgm3_meta.uri, 21, 21, true).unwrap(),
    );

    // Include the spherical harmonics into the orbital dynamics.
    orbital_dyn.accel_models.push(harmonics_21x21);

    // We define the solar radiation pressure, using the default solar flux and accounting only
    // for the eclipsing caused by the Earth and Moon.
    let srp_dyn = SolarPressure::new(vec![EARTH_J2000, MOON_J2000], almanac.clone())?;

    // Finalize setting up the dynamics, specifying the force models (orbital_dyn) separately from the
    // acceleration models (SRP in this case). Use `from_models` to specify multiple accel models.
    let dynamics = SpacecraftDynamics::from_model(orbital_dyn, srp_dyn);

    println!("{dynamics}");

    // Finally, let's propagate this orbit to the same epoch as above.
    // The first returned value is the spacecraft state at the final epoch.
    // The second value is the full trajectory where the step size is variable step used by the propagator.
    let (future_sc, trajectory) = Propagator::default(dynamics)
        .with(sc, almanac.clone())
        .until_epoch_with_traj(epoch + Unit::Century * 0.03)?;

    println!("=== High fidelity propagation ===");
    println!(
        "SMA changed by {:.3} km",
        orbit.sma_km()? - future_sc.orbit.sma_km()?
    );
    println!(
        "ECC changed by {:.6}",
        orbit.ecc()? - future_sc.orbit.ecc()?
    );
    println!(
        "INC changed by {:.3e} deg",
        orbit.inc_deg()? - future_sc.orbit.inc_deg()?
    );
    println!(
        "RAAN changed by {:.3} deg",
        orbit.raan_deg()? - future_sc.orbit.raan_deg()?
    );
    println!(
        "AOP changed by {:.3} deg",
        orbit.aop_deg()? - future_sc.orbit.aop_deg()?
    );
    println!(
        "TA changed by {:.3} deg",
        orbit.ta_deg()? - future_sc.orbit.ta_deg()?
    );

    // We also have access to the full trajectory throughout the propagation.
    println!("{trajectory}");

    println!("Spacecraft params after 3 years without active control:\n{future_sc:x}");

    // With the trajectory, let's build a few data products.

    // 1. Export the trajectory as a parquet file, which includes the Keplerian orbital elements.

    let analysis_step = Unit::Minute * 5;

    trajectory.to_parquet(
        "./03_geo_hf_prop.parquet",
        Some(vec![
            &EclipseLocator::cislunar(almanac.clone()).to_penumbra_event()
        ]),
        ExportCfg::builder().step(analysis_step).build(),
        almanac.clone(),
    )?;

    // 2. Compute the latitude, longitude, and altitude throughout the trajectory by rotating the spacecraft position into the Earth body fixed frame.

    // We iterate over the trajectory, grabbing a state every two minutes.
    let mut offset_s = vec![];
    let mut epoch_str = vec![];
    let mut longitude_deg = vec![];
    let mut latitude_deg = vec![];
    let mut altitude_km = vec![];

    for state in trajectory.every(analysis_step) {
        // Convert the GEO bird state into the body fixed frame, and keep track of its latitude, longitude, and altitude.
        // These define the GEO stationkeeping box.

        let this_epoch = state.epoch();

        offset_s.push((this_epoch - orbit.epoch).to_seconds());
        epoch_str.push(this_epoch.to_isoformat());

        let state_bf = almanac.transform_to(state.orbit, IAU_EARTH_FRAME, None)?;
        let (lat_deg, long_deg, alt_km) = state_bf.latlongalt()?;
        longitude_deg.push(long_deg);
        latitude_deg.push(lat_deg);
        altitude_km.push(alt_km);
    }

    println!(
        "Longitude changed by {:.3} deg -- Box is 0.1 deg E-W",
        orig_long_deg - longitude_deg.last().unwrap()
    );

    println!(
        "Latitude changed by {:.3} deg -- Box is 0.05 deg N-S",
        orig_lat_deg - latitude_deg.last().unwrap()
    );

    println!(
        "Altitude changed by {:.3} km -- Box is 30 km",
        orig_alt_km - altitude_km.last().unwrap()
    );

    // Build the station keeping data frame.
    let mut sk_df = df!(
        "Offset (s)" => offset_s.clone(),
        "Epoch (UTC)" => epoch_str.clone(),
        "Longitude E-W (deg)" => longitude_deg,
        "Latitude N-S (deg)" => latitude_deg,
        "Altitude (km)" => altitude_km,

    )?;

    // Create a file to write the Parquet to
    let file = File::create("./03_geo_lla.parquet").expect("Could not create file");

    // Create a ParquetWriter and write the DataFrame to the file
    ParquetWriter::new(file).finish(&mut sk_df)?;

    Ok(())
}
More examples
Hide additional examples
examples/01_orbit_prop/main.rs (line 225)
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
fn main() -> Result<(), Box<dyn Error>> {
    pel::init();
    // Dynamics models require planetary constants and ephemerides to be defined.
    // Let's start by grabbing those by using ANISE's latest MetaAlmanac.
    // This will automatically download the DE440s planetary ephemeris,
    // the daily-updated Earth Orientation Parameters, the high fidelity Moon orientation
    // parameters (for the Moon Mean Earth and Moon Principal Axes frames), and the PCK11
    // planetary constants kernels.
    // For details, refer to https://github.com/nyx-space/anise/blob/master/data/latest.dhall.
    // Note that we place the Almanac into an Arc so we can clone it cheaply and provide read-only
    // references to many functions.
    let almanac = Arc::new(MetaAlmanac::latest().map_err(Box::new)?);
    // Define the orbit epoch
    let epoch = Epoch::from_gregorian_utc_hms(2024, 2, 29, 12, 13, 14);

    // Define the orbit.
    // First we need to fetch the Earth J2000 from information from the Almanac.
    // This allows the frame to include the gravitational parameters and the shape of the Earth,
    // defined as a tri-axial ellipoid. Note that this shape can be changed manually or in the Almanac
    // by loading a different set of planetary constants.
    let earth_j2000 = almanac.frame_from_uid(EARTH_J2000)?;

    let orbit =
        Orbit::try_keplerian_altitude(300.0, 0.015, 68.5, 65.2, 75.0, 0.0, epoch, earth_j2000)?;
    // Print in in Keplerian form.
    println!("{orbit:x}");

    // There are two ways to propagate an orbit. We can make a quick approximation assuming only two-body
    // motion. This is a useful first order approximation but it isn't used in real-world applications.

    // This approach is a feature of ANISE.
    let future_orbit_tb = orbit.at_epoch(epoch + Unit::Day * 3)?;
    println!("{future_orbit_tb:x}");

    // Two body propagation relies solely on Kepler's laws, so only the true anomaly will change.
    println!(
        "SMA changed by {:.3e} km",
        orbit.sma_km()? - future_orbit_tb.sma_km()?
    );
    println!(
        "ECC changed by {:.3e}",
        orbit.ecc()? - future_orbit_tb.ecc()?
    );
    println!(
        "INC changed by {:.3e} deg",
        orbit.inc_deg()? - future_orbit_tb.inc_deg()?
    );
    println!(
        "RAAN changed by {:.3e} deg",
        orbit.raan_deg()? - future_orbit_tb.raan_deg()?
    );
    println!(
        "AOP changed by {:.3e} deg",
        orbit.aop_deg()? - future_orbit_tb.aop_deg()?
    );
    println!(
        "TA changed by {:.3} deg",
        orbit.ta_deg()? - future_orbit_tb.ta_deg()?
    );

    // Nyx is used for high fidelity propagation, not Keplerian propagation as above.
    // Nyx only propagates Spacecraft at the moment, which allows it to account for acceleration
    // models such as solar radiation pressure.

    // Let's build a cubesat sized spacecraft, with an SRP area of 10 cm^2 and a mass of 9.6 kg.
    let sc = Spacecraft::builder()
        .orbit(orbit)
        .dry_mass_kg(9.60)
        .srp(SrpConfig {
            area_m2: 10e-4,
            cr: 1.1,
        })
        .build();
    println!("{sc:x}");

    // Set up the spacecraft dynamics.

    // Specify that the orbital dynamics must account for the graviational pull of the Moon and the Sun.
    // The gravity of the Earth will also be accounted for since the spaceraft in an Earth orbit.
    let mut orbital_dyn = OrbitalDynamics::point_masses(vec![MOON, SUN]);

    // We want to include the spherical harmonics, so let's download the gravitational data from the Nyx Cloud.
    // We're using the JGM3 model here, which is the default in GMAT.
    let mut jgm3_meta = MetaFile {
        uri: "http://public-data.nyxspace.com/nyx/models/JGM3.cof.gz".to_string(),
        crc32: Some(0xF446F027), // Specifying the CRC32 avoids redownloading it if it's cached.
    };
    // And let's download it if we don't have it yet.
    jgm3_meta.process(true)?;

    // Build the spherical harmonics.
    // The harmonics must be computed in the body fixed frame.
    // We're using the long term prediction of the Earth centered Earth fixed frame, IAU Earth.
    let harmonics_21x21 = Harmonics::from_stor(
        almanac.frame_from_uid(IAU_EARTH_FRAME)?,
        HarmonicsMem::from_cof(&jgm3_meta.uri, 21, 21, true).unwrap(),
    );

    // Include the spherical harmonics into the orbital dynamics.
    orbital_dyn.accel_models.push(harmonics_21x21);

    // We define the solar radiation pressure, using the default solar flux and accounting only
    // for the eclipsing caused by the Earth.
    let srp_dyn = SolarPressure::default(EARTH_J2000, almanac.clone())?;

    // Finalize setting up the dynamics, specifying the force models (orbital_dyn) separately from the
    // acceleration models (SRP in this case). Use `from_models` to specify multiple accel models.
    let dynamics = SpacecraftDynamics::from_model(orbital_dyn, srp_dyn);

    println!("{dynamics}");

    // Finally, let's propagate this orbit to the same epoch as above.
    // The first returned value is the spacecraft state at the final epoch.
    // The second value is the full trajectory where the step size is variable step used by the propagator.
    let (future_sc, trajectory) = Propagator::default(dynamics)
        .with(sc, almanac.clone())
        .until_epoch_with_traj(future_orbit_tb.epoch)?;

    println!("=== High fidelity propagation ===");
    println!(
        "SMA changed by {:.3} km",
        orbit.sma_km()? - future_sc.orbit.sma_km()?
    );
    println!(
        "ECC changed by {:.6}",
        orbit.ecc()? - future_sc.orbit.ecc()?
    );
    println!(
        "INC changed by {:.3e} deg",
        orbit.inc_deg()? - future_sc.orbit.inc_deg()?
    );
    println!(
        "RAAN changed by {:.3} deg",
        orbit.raan_deg()? - future_sc.orbit.raan_deg()?
    );
    println!(
        "AOP changed by {:.3} deg",
        orbit.aop_deg()? - future_sc.orbit.aop_deg()?
    );
    println!(
        "TA changed by {:.3} deg",
        orbit.ta_deg()? - future_sc.orbit.ta_deg()?
    );

    // We also have access to the full trajectory throughout the propagation.
    println!("{trajectory}");

    // With the trajectory, let's build a few data products.

    // 1. Export the trajectory as a CCSDS OEM version 2.0 file and as a parquet file, which includes the Keplerian orbital elements.

    trajectory.to_oem_file(
        "./01_cubesat_hf_prop.oem",
        ExportCfg::builder().step(Unit::Minute * 2).build(),
    )?;

    trajectory.to_parquet_with_cfg(
        "./01_cubesat_hf_prop.parquet",
        ExportCfg::builder().step(Unit::Minute * 2).build(),
        almanac.clone(),
    )?;

    // 2. Compare the difference in the radial-intrack-crosstrack frame between the high fidelity
    // and Keplerian propagation. The RIC frame is commonly used to compute the difference in position
    // and velocity of different spacecraft.
    // 3. Compute the azimuth, elevation, range, and range-rate data of that spacecraft as seen from Boulder, CO, USA.

    let boulder_station = GroundStation::from_point(
        "Boulder, CO, USA".to_string(),
        40.014984,   // latitude in degrees
        -105.270546, // longitude in degrees
        1.6550,      // altitude in kilometers
        almanac.frame_from_uid(IAU_EARTH_FRAME)?,
    );

    // We iterate over the trajectory, grabbing a state every two minutes.
    let mut offset_s = vec![];
    let mut epoch_str = vec![];
    let mut ric_x_km = vec![];
    let mut ric_y_km = vec![];
    let mut ric_z_km = vec![];
    let mut ric_vx_km_s = vec![];
    let mut ric_vy_km_s = vec![];
    let mut ric_vz_km_s = vec![];

    let mut azimuth_deg = vec![];
    let mut elevation_deg = vec![];
    let mut range_km = vec![];
    let mut range_rate_km_s = vec![];
    for state in trajectory.every(Unit::Minute * 2) {
        // Try to compute the Keplerian/two body state just in time.
        // This method occasionally fails to converge on an appropriate true anomaly
        // from the mean anomaly. If that happens, we just skip this state.
        // The high fidelity and Keplerian states diverge continuously, and we're curious
        // about the divergence in this quick analysis.
        let this_epoch = state.epoch();
        match orbit.at_epoch(this_epoch) {
            Ok(tb_then) => {
                offset_s.push((this_epoch - orbit.epoch).to_seconds());
                epoch_str.push(format!("{this_epoch}"));
                // Compute the two body state just in time.
                let ric = state.orbit.ric_difference(&tb_then)?;
                ric_x_km.push(ric.radius_km.x);
                ric_y_km.push(ric.radius_km.y);
                ric_z_km.push(ric.radius_km.z);
                ric_vx_km_s.push(ric.velocity_km_s.x);
                ric_vy_km_s.push(ric.velocity_km_s.y);
                ric_vz_km_s.push(ric.velocity_km_s.z);

                // Compute the AER data for each state.
                let aer = almanac.azimuth_elevation_range_sez(
                    state.orbit,
                    boulder_station.to_orbit(this_epoch, &almanac)?,
                    None,
                    None,
                )?;
                azimuth_deg.push(aer.azimuth_deg);
                elevation_deg.push(aer.elevation_deg);
                range_km.push(aer.range_km);
                range_rate_km_s.push(aer.range_rate_km_s);
            }
            Err(e) => warn!("{} {e}", state.epoch()),
        };
    }

    // Build the data frames.
    let ric_df = df!(
        "Offset (s)" => offset_s.clone(),
        "Epoch" => epoch_str.clone(),
        "RIC X (km)" => ric_x_km,
        "RIC Y (km)" => ric_y_km,
        "RIC Z (km)" => ric_z_km,
        "RIC VX (km/s)" => ric_vx_km_s,
        "RIC VY (km/s)" => ric_vy_km_s,
        "RIC VZ (km/s)" => ric_vz_km_s,
    )?;

    println!("RIC difference at start\n{}", ric_df.head(Some(10)));
    println!("RIC difference at end\n{}", ric_df.tail(Some(10)));

    let aer_df = df!(
        "Offset (s)" => offset_s.clone(),
        "Epoch" => epoch_str.clone(),
        "azimuth (deg)" => azimuth_deg,
        "elevation (deg)" => elevation_deg,
        "range (km)" => range_km,
        "range rate (km/s)" => range_rate_km_s,
    )?;

    // Finally, let's see when the spacecraft is visible, assuming 15 degrees minimum elevation.
    let mask = aer_df.column("elevation (deg)")?.gt(15.0)?;
    let cubesat_visible = aer_df.filter(&mask)?;

    println!("{cubesat_visible}");

    Ok(())
}

pub fn to_unit(&self, unit: Unit) -> f64

pub fn abs(&self) -> Duration

Returns the absolute value of this duration

pub const fn signum(&self) -> i8

Returns the sign of this duration

  • 0 if the number is zero
  • 1 if the number is positive
  • -1 if the number is negative

pub fn decompose(&self) -> (i8, u64, u64, u64, u64, u64, u64, u64)

Decomposes a Duration in its sign, days, hours, minutes, seconds, ms, us, ns

pub fn subdivision(&self, unit: Unit) -> Option<Duration>

Returns the subdivision of duration in this unit, if such is available. Does not work with Week or Century.

§Example
use hifitime::{Duration, TimeUnits, Unit};

let two_hours_three_min = 2.hours() + 3.minutes();
assert_eq!(two_hours_three_min.subdivision(Unit::Hour), Some(2.hours()));
assert_eq!(two_hours_three_min.subdivision(Unit::Minute), Some(3.minutes()));
assert_eq!(two_hours_three_min.subdivision(Unit::Second), Some(Duration::ZERO));
assert_eq!(two_hours_three_min.subdivision(Unit::Week), None);

pub fn floor(&self, duration: Duration) -> Duration

Floors this duration to the closest duration from the bottom

§Example
use hifitime::{Duration, TimeUnits};

let two_hours_three_min = 2.hours() + 3.minutes();
assert_eq!(two_hours_three_min.floor(1.hours()), 2.hours());
assert_eq!(two_hours_three_min.floor(30.minutes()), 2.hours());
// This is zero because we floor by a duration longer than the current duration, rounding it down
assert_eq!(two_hours_three_min.floor(4.hours()), 0.hours());
assert_eq!(two_hours_three_min.floor(1.seconds()), two_hours_three_min);
assert_eq!(two_hours_three_min.floor(1.hours() + 1.minutes()), 2.hours() + 2.minutes());
assert_eq!(two_hours_three_min.floor(1.hours() + 5.minutes()), 1.hours() + 5.minutes());

pub fn ceil(&self, duration: Duration) -> Duration

Ceils this duration to the closest provided duration

This simply floors then adds the requested duration

§Example
use hifitime::{Duration, TimeUnits};

let two_hours_three_min = 2.hours() + 3.minutes();
assert_eq!(two_hours_three_min.ceil(1.hours()), 3.hours());
assert_eq!(two_hours_three_min.ceil(30.minutes()), 2.hours() + 30.minutes());
assert_eq!(two_hours_three_min.ceil(4.hours()), 4.hours());
assert_eq!(two_hours_three_min.ceil(1.seconds()), two_hours_three_min + 1.seconds());
assert_eq!(two_hours_three_min.ceil(1.hours() + 5.minutes()), 2.hours() + 10.minutes());

pub fn round(&self, duration: Duration) -> Duration

Rounds this duration to the closest provided duration

This performs both a ceil and floor and returns the value which is the closest to current one.

§Example
use hifitime::{Duration, TimeUnits};

let two_hours_three_min = 2.hours() + 3.minutes();
assert_eq!(two_hours_three_min.round(1.hours()), 2.hours());
assert_eq!(two_hours_three_min.round(30.minutes()), 2.hours());
assert_eq!(two_hours_three_min.round(4.hours()), 4.hours());
assert_eq!(two_hours_three_min.round(1.seconds()), two_hours_three_min);
assert_eq!(two_hours_three_min.round(1.hours() + 5.minutes()), 2.hours() + 10.minutes());

pub fn approx(&self) -> Duration

Rounds this duration to the largest units represented in this duration.

This is useful to provide an approximate human duration. Under the hood, this function uses round, so the “tipping point” of the rounding is half way to the next increment of the greatest unit. As shown below, one example is that 35 hours and 59 minutes rounds to 1 day, but 36 hours and 1 minute rounds to 2 days because 2 days is closer to 36h 1 min than 36h 1 min is to 1 day.

§Example
use hifitime::{Duration, TimeUnits};

assert_eq!((2.hours() + 3.minutes()).approx(), 2.hours());
assert_eq!((24.hours() + 3.minutes()).approx(), 1.days());
assert_eq!((35.hours() + 59.minutes()).approx(), 1.days());
assert_eq!((36.hours() + 1.minutes()).approx(), 2.days());
assert_eq!((47.hours() + 3.minutes()).approx(), 2.days());
assert_eq!((49.hours() + 3.minutes()).approx(), 2.days());

pub fn min(self, other: Duration) -> Duration

use hifitime::TimeUnits;

let d0 = 20.seconds();
let d1 = 21.seconds();

assert_eq!(d0, d1.min(d0));
assert_eq!(d0, d0.min(d1));

pub fn max(self, other: Duration) -> Duration

Returns the maximum of the two durations.

use hifitime::TimeUnits;

let d0 = 20.seconds();
let d1 = 21.seconds();

assert_eq!(d1, d1.max(d0));
assert_eq!(d1, d0.max(d1));

pub const fn is_negative(&self) -> bool

Returns whether this is a negative or positive duration.

Trait Implementations§

§

impl Add<Duration> for Epoch

§

type Output = Epoch

The resulting type after applying the + operator.
§

fn add(self, duration: Duration) -> Epoch

Performs the + operation. Read more
§

impl Add<Unit> for Duration

§

type Output = Duration

The resulting type after applying the + operator.
§

fn add(self, rhs: Unit) -> Duration

Performs the + operation. Read more
§

impl Add for Duration

§

fn add(self, rhs: Duration) -> Duration

§Addition of Durations

Durations are centered on zero duration. Of the tuple, only the centuries may be negative, the nanoseconds are always positive and represent the nanoseconds into the current centuries.

§Examples
  • Duration { centuries: 0, nanoseconds: 1 } is a positive duration of zero centuries and one nanosecond.
  • Duration { centuries: -1, nanoseconds: 1 } is a negative duration representing “one century before zero minus one nanosecond”
§

type Output = Duration

The resulting type after applying the + operator.
§

impl AddAssign<Duration> for Epoch

§

fn add_assign(&mut self, duration: Duration)

Performs the += operation. Read more
§

impl AddAssign<Unit> for Duration

§

fn add_assign(&mut self, rhs: Unit)

Performs the += operation. Read more
§

impl AddAssign for Duration

§

fn add_assign(&mut self, rhs: Duration)

Performs the += operation. Read more
§

impl Clone for Duration

§

fn clone(&self) -> Duration

Returns a copy of the value. Read more
1.0.0 · Source§

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
§

impl Debug for Duration

§

fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter. Read more
§

impl Default for Duration

§

fn default() -> Duration

Returns the “default value” for a type. Read more
§

impl<'de> Deserialize<'de> for Duration

§

fn deserialize<D>( deserializer: D, ) -> Result<Duration, <D as Deserializer<'de>>::Error>
where D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
§

impl Display for Duration

§

fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter. Read more
§

impl Div<f64> for Duration

§

type Output = Duration

The resulting type after applying the / operator.
§

fn div(self, q: f64) -> <Duration as Div<f64>>::Output

Performs the / operation. Read more
§

impl Div<i64> for Duration

§

type Output = Duration

The resulting type after applying the / operator.
§

fn div(self, q: i64) -> <Duration as Div<i64>>::Output

Performs the / operation. Read more
§

impl From<Duration> for Duration

§

fn from(std_duration: Duration) -> Duration

Converts a duration into an std::time::Duration

§Limitations
  1. If the duration is negative, this will return a std::time::Duration::ZERO.
  2. If the duration larger than the MAX duration, this will return std::time::Duration::MAX
§

impl FromStr for Duration

§

fn from_str(s_in: &str) -> Result<Duration, <Duration as FromStr>::Err>

Attempts to convert a simple string to a Duration. Does not yet support complicated durations.

Identifiers:

  • d, days, day
  • h, hours, hour
  • min, mins, minute
  • s, second, seconds
  • ms, millisecond, milliseconds
  • us, microsecond, microseconds
  • ns, nanosecond, nanoseconds
  • + or - indicates a timezone offset
§Example
use hifitime::{Duration, Unit};
use std::str::FromStr;

assert_eq!(Duration::from_str("1 d").unwrap(), Unit::Day * 1);
assert_eq!(Duration::from_str("10.598 days").unwrap(), Unit::Day * 10.598);
assert_eq!(Duration::from_str("10.598 min").unwrap(), Unit::Minute * 10.598);
assert_eq!(Duration::from_str("10.598 us").unwrap(), Unit::Microsecond * 10.598);
assert_eq!(Duration::from_str("10.598 seconds").unwrap(), Unit::Second * 10.598);
assert_eq!(Duration::from_str("10.598 nanosecond").unwrap(), Unit::Nanosecond * 10.598);
assert_eq!(Duration::from_str("5 h 256 ms 1 ns").unwrap(), 5 * Unit::Hour + 256 * Unit::Millisecond + Unit::Nanosecond);
assert_eq!(Duration::from_str("-01:15:30").unwrap(), -(1 * Unit::Hour + 15 * Unit::Minute + 30 * Unit::Second));
assert_eq!(Duration::from_str("+3615").unwrap(), 36 * Unit::Hour + 15 * Unit::Minute);
§

type Err = HifitimeError

The associated error which can be returned from parsing.
§

impl Hash for Duration

§

fn hash<H>(&self, hasher: &mut H)
where H: Hasher,

Feeds this value into the given Hasher. Read more
1.3.0 · Source§

fn hash_slice<H>(data: &[Self], state: &mut H)
where H: Hasher, Self: Sized,

Feeds a slice of this type into the given Hasher. Read more
§

impl LowerExp for Duration

§

fn fmt(&self, f: &mut Formatter<'_>) -> Result<(), Error>

Formats the value using the given formatter. Read more
§

impl Mul<f64> for Duration

§

type Output = Duration

The resulting type after applying the * operator.
§

fn mul(self, q: f64) -> <Duration as Mul<f64>>::Output

Performs the * operation. Read more
§

impl Mul<i64> for Duration

§

type Output = Duration

The resulting type after applying the * operator.
§

fn mul(self, q: i64) -> <Duration as Mul<i64>>::Output

Performs the * operation. Read more
§

impl Neg for Duration

§

type Output = Duration

The resulting type after applying the - operator.
§

fn neg(self) -> <Duration as Neg>::Output

Performs the unary - operation. Read more
§

impl Ord for Duration

§

fn cmp(&self, other: &Duration) -> Ordering

This method returns an Ordering between self and other. Read more
1.21.0 · Source§

fn max(self, other: Self) -> Self
where Self: Sized,

Compares and returns the maximum of two values. Read more
1.21.0 · Source§

fn min(self, other: Self) -> Self
where Self: Sized,

Compares and returns the minimum of two values. Read more
1.50.0 · Source§

fn clamp(self, min: Self, max: Self) -> Self
where Self: Sized,

Restrict a value to a certain interval. Read more
§

impl PartialEq<Unit> for Duration

§

fn eq(&self, unit: &Unit) -> bool

Tests for self and other values to be equal, and is used by ==.
1.0.0 · Source§

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
§

impl PartialEq for Duration

§

fn eq(&self, other: &Duration) -> bool

Tests for self and other values to be equal, and is used by ==.
1.0.0 · Source§

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.
§

impl PartialOrd<Unit> for Duration

§

fn partial_cmp(&self, unit: &Unit) -> Option<Ordering>

This method returns an ordering between self and other values if one exists. Read more
1.0.0 · Source§

fn lt(&self, other: &Rhs) -> bool

Tests less than (for self and other) and is used by the < operator. Read more
1.0.0 · Source§

fn le(&self, other: &Rhs) -> bool

Tests less than or equal to (for self and other) and is used by the <= operator. Read more
1.0.0 · Source§

fn gt(&self, other: &Rhs) -> bool

Tests greater than (for self and other) and is used by the > operator. Read more
1.0.0 · Source§

fn ge(&self, other: &Rhs) -> bool

Tests greater than or equal to (for self and other) and is used by the >= operator. Read more
§

impl PartialOrd for Duration

§

fn partial_cmp(&self, other: &Duration) -> Option<Ordering>

This method returns an ordering between self and other values if one exists. Read more
1.0.0 · Source§

fn lt(&self, other: &Rhs) -> bool

Tests less than (for self and other) and is used by the < operator. Read more
1.0.0 · Source§

fn le(&self, other: &Rhs) -> bool

Tests less than or equal to (for self and other) and is used by the <= operator. Read more
1.0.0 · Source§

fn gt(&self, other: &Rhs) -> bool

Tests greater than (for self and other) and is used by the > operator. Read more
1.0.0 · Source§

fn ge(&self, other: &Rhs) -> bool

Tests greater than or equal to (for self and other) and is used by the >= operator. Read more
§

impl Serialize for Duration

§

fn serialize<S>( &self, serializer: S, ) -> Result<<S as Serializer>::Ok, <S as Serializer>::Error>
where S: Serializer,

Serialize this value into the given Serde serializer. Read more
§

impl Sub<Duration> for Epoch

§

type Output = Epoch

The resulting type after applying the - operator.
§

fn sub(self, duration: Duration) -> Epoch

Performs the - operation. Read more
§

impl Sub<Unit> for Duration

§

type Output = Duration

The resulting type after applying the - operator.
§

fn sub(self, rhs: Unit) -> Duration

Performs the - operation. Read more
§

impl Sub for Duration

§

fn sub(self, rhs: Duration) -> Duration

§Subtraction

This operation is a notch confusing with negative durations. As described in the Duration structure, a Duration of (-1, NANOSECONDS_PER_CENTURY-1) is closer to zero than (-1, 0).

§Algorithm
§A > B, and both are positive

If A > B, then A.centuries is subtracted by B.centuries, and A.nanoseconds is subtracted by B.nanoseconds. If an overflow occurs, e.g. A.nanoseconds < B.nanoseconds, the number of nanoseconds is increased by the number of nanoseconds per century, and the number of centuries is decreased by one.

use hifitime::{Duration, NANOSECONDS_PER_CENTURY};

let a = Duration::from_parts(1, 1);
let b = Duration::from_parts(0, 10);
let c = Duration::from_parts(0, NANOSECONDS_PER_CENTURY - 9);
assert_eq!(a - b, c);
§A < B, and both are positive

In this case, the resulting duration will be negative. The number of centuries is a signed integer, so it is set to the difference of A.centuries - B.centuries. The number of nanoseconds however must be wrapped by the number of nanoseconds per century. For example:, let A = (0, 1) and B = (1, 10), then the resulting duration will be (-2, NANOSECONDS_PER_CENTURY - (10 - 1)). In this case, the centuries are set to -2 because B is two centuries into the future (the number of centuries into the future is zero-indexed).

use hifitime::{Duration, NANOSECONDS_PER_CENTURY};

let a = Duration::from_parts(0, 1);
let b = Duration::from_parts(1, 10);
let c = Duration::from_parts(-2, NANOSECONDS_PER_CENTURY - 9);
assert_eq!(a - b, c);
§A > B, both are negative

In this case, we try to stick to normal arithmatics: (-9 - -10) = (-9 + 10) = +1. In this case, we can simply add the components of the duration together. For example, let A = (-1, NANOSECONDS_PER_CENTURY - 2), and B = (-1, NANOSECONDS_PER_CENTURY - 1). Respectively, A is two nanoseconds before Duration::ZERO and B is one nanosecond before Duration::ZERO. Then, A-B should be one nanoseconds before zero, i.e. (-1, NANOSECONDS_PER_CENTURY - 1). This is because we subtract “negative one nanosecond” from a “negative minus two nanoseconds”, which corresponds to adding the opposite, and the opposite of “negative one nanosecond” is “positive one nanosecond”.

use hifitime::{Duration, NANOSECONDS_PER_CENTURY};

let a = Duration::from_parts(-1, NANOSECONDS_PER_CENTURY - 9);
let b = Duration::from_parts(-1, NANOSECONDS_PER_CENTURY - 10);
let c = Duration::from_parts(0, 1);
assert_eq!(a - b, c);
§A < B, both are negative

Just like in the prior case, we try to stick to normal arithmatics: (-10 - -9) = (-10 + 9) = -1.

use hifitime::{Duration, NANOSECONDS_PER_CENTURY};

let a = Duration::from_parts(-1, NANOSECONDS_PER_CENTURY - 10);
let b = Duration::from_parts(-1, NANOSECONDS_PER_CENTURY - 9);
let c = Duration::from_parts(-1, NANOSECONDS_PER_CENTURY - 1);
assert_eq!(a - b, c);
§MIN is the minimum

One cannot subtract anything from the MIN.

use hifitime::Duration;

let one_ns = Duration::from_parts(0, 1);
assert_eq!(Duration::MIN - one_ns, Duration::MIN);
§

type Output = Duration

The resulting type after applying the - operator.
§

impl SubAssign<Duration> for Epoch

§

fn sub_assign(&mut self, duration: Duration)

Performs the -= operation. Read more
§

impl SubAssign<Unit> for Duration

§

fn sub_assign(&mut self, rhs: Unit)

Performs the -= operation. Read more
§

impl SubAssign for Duration

§

fn sub_assign(&mut self, rhs: Duration)

Performs the -= operation. Read more
§

impl Copy for Duration

§

impl Eq for Duration

Auto Trait Implementations§

Blanket Implementations§

Source§

impl<T> Any for T
where T: 'static + ?Sized,

Source§

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
Source§

impl<T> Borrow<T> for T
where T: ?Sized,

Source§

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
Source§

impl<T> BorrowMut<T> for T
where T: ?Sized,

Source§

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
Source§

impl<T> CloneToUninit for T
where T: Clone,

Source§

unsafe fn clone_to_uninit(&self, dst: *mut T)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dst. Read more
§

impl<Q, K> Comparable<K> for Q
where Q: Ord + ?Sized, K: Borrow<Q> + ?Sized,

§

fn compare(&self, key: &K) -> Ordering

Compare self to key and return their ordering.
§

impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

§

fn equivalent(&self, key: &K) -> bool

Checks if this value is equivalent to the given key. Read more
§

impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

§

fn equivalent(&self, key: &K) -> bool

Compare self to key and return true if they are equal.
§

impl<Q, K> Equivalent<K> for Q
where Q: Eq + ?Sized, K: Borrow<Q> + ?Sized,

§

fn equivalent(&self, key: &K) -> bool

Checks if this value is equivalent to the given key. Read more
Source§

impl<T> From<T> for T

Source§

fn from(t: T) -> T

Returns the argument unchanged.

Source§

impl<T> FromDhall for T

Source§

fn from_dhall(v: &Value) -> Result<T, Error>

§

impl<T> Instrument for T

§

fn instrument(self, span: Span) -> Instrumented<Self>

Instruments this type with the provided [Span], returning an Instrumented wrapper. Read more
§

fn in_current_span(self) -> Instrumented<Self>

Instruments this type with the current Span, returning an Instrumented wrapper. Read more
Source§

impl<T, U> Into<U> for T
where U: From<T>,

Source§

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

Source§

impl<T> IntoEither for T

Source§

fn into_either(self, into_left: bool) -> Either<Self, Self>

Converts self into a Left variant of Either<Self, Self> if into_left is true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
Source§

fn into_either_with<F>(self, into_left: F) -> Either<Self, Self>
where F: FnOnce(&Self) -> bool,

Converts self into a Left variant of Either<Self, Self> if into_left(&self) returns true. Converts self into a Right variant of Either<Self, Self> otherwise. Read more
§

impl<T> Pointable for T

§

const ALIGN: usize = _

The alignment of pointer.
§

type Init = T

The type for initializers.
§

unsafe fn init(init: <T as Pointable>::Init) -> usize

Initializes a with the given initializer. Read more
§

unsafe fn deref<'a>(ptr: usize) -> &'a T

Dereferences the given pointer. Read more
§

unsafe fn deref_mut<'a>(ptr: usize) -> &'a mut T

Mutably dereferences the given pointer. Read more
§

unsafe fn drop(ptr: usize)

Drops the object pointed to by the given pointer. Read more
Source§

impl<T> Same for T

Source§

type Output = T

Should always be Self
§

impl<SS, SP> SupersetOf<SS> for SP
where SS: SubsetOf<SP>,

§

fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
§

fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).
§

fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.
§

fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.
Source§

impl<T> ToDhall for T
where T: Serialize,

Source§

fn to_dhall(&self, ty: Option<&SimpleType>) -> Result<Value, Error>

Source§

impl<T> ToOwned for T
where T: Clone,

Source§

type Owned = T

The resulting type after obtaining ownership.
Source§

fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
Source§

fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
Source§

impl<T> ToString for T
where T: Display + ?Sized,

Source§

default fn to_string(&self) -> String

Converts the given value to a String. Read more
Source§

impl<T, U> TryFrom<U> for T
where U: Into<T>,

Source§

type Error = Infallible

The type returned in the event of a conversion error.
Source§

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
Source§

impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

Source§

type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
Source§

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.
§

impl<V, T> VZip<V> for T
where V: MultiLane<T>,

§

fn vzip(self) -> V

§

impl<T> WithSubscriber for T

§

fn with_subscriber<S>(self, subscriber: S) -> WithDispatch<Self>
where S: Into<Dispatch>,

Attaches the provided Subscriber to this type, returning a [WithDispatch] wrapper. Read more
§

fn with_current_subscriber(self) -> WithDispatch<Self>

Attaches the current default Subscriber to this type, returning a [WithDispatch] wrapper. Read more
§

impl<T> Allocation for T
where T: RefUnwindSafe + Send + Sync,

§

impl<T, Right> ClosedAdd<Right> for T
where T: Add<Right, Output = T> + AddAssign<Right>,

§

impl<T, Right> ClosedAddAssign<Right> for T
where T: ClosedAdd<Right> + AddAssign<Right>,

§

impl<T> ClosedNeg for T
where T: Neg<Output = T>,

§

impl<T, Right> ClosedSub<Right> for T
where T: Sub<Right, Output = T> + SubAssign<Right>,

§

impl<T, Right> ClosedSubAssign<Right> for T
where T: ClosedSub<Right> + SubAssign<Right>,

Source§

impl<T> DeserializeOwned for T
where T: for<'de> Deserialize<'de>,

Source§

impl<T> RuleType for T
where T: Copy + Debug + Eq + Hash + Ord,

Source§

impl<T> Scalar for T
where T: 'static + Clone + PartialEq + Debug,