Initial commit. Faithful representation done. Standard test cases plus 2880 more all pass (plus helper function tests)
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+43
@@ -0,0 +1,43 @@
|
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[package]
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name = "nrlmsise00"
|
||||
version = "0.1.0"
|
||||
edition = "2021"
|
||||
authors = ["Connor Johnstone"]
|
||||
description = "NRLMSISE-00 atmosphere model, generic over its scalar type so density can be differentiated"
|
||||
readme = "readme.md"
|
||||
repository = "https://git.rcjohnstone.com/connor/nrlmsise00"
|
||||
license = "MIT"
|
||||
keywords = ["atmosphere", "density", "nrlmsise00", "aerospace", "thermosphere"]
|
||||
categories = ["science", "aerospace"]
|
||||
# The NRLMSIS 2.x port is a separate package under a separate, non-commercial
|
||||
# license. It is not part of this one.
|
||||
exclude = ["nrlmsis2", "scripts", "hooks", "plan.md"]
|
||||
|
||||
[workspace]
|
||||
members = ["nrlmsis2"]
|
||||
|
||||
[features]
|
||||
default = ["autodiff", "drivers"]
|
||||
# Dual-number scalars, so density can be differentiated.
|
||||
autodiff = ["dep:num-dual", "dep:nalgebra"]
|
||||
# The compiled-in solar and geomagnetic record, and date lookups into it.
|
||||
drivers = []
|
||||
|
||||
[dependencies]
|
||||
nalgebra = { version = "0.35", optional = true }
|
||||
num-dual = { version = "0.15", optional = true }
|
||||
num-traits = { version = "0.2", default-features = false }
|
||||
|
||||
[dev-dependencies]
|
||||
approx = "0.5"
|
||||
criterion = "0.7"
|
||||
num-dual = "0.15"
|
||||
# arbitrary_precision keeps each number's own digits, so a fixture value is parsed by
|
||||
# str::parse rather than by serde_json's own float parser, which reads some f64s back one
|
||||
# ulp high. The fixtures are compared bit for bit, so that one ulp is the difference
|
||||
# between a passing and a failing test.
|
||||
serde_json = { version = "1.0", features = ["arbitrary_precision"] }
|
||||
|
||||
[[bench]]
|
||||
name = "density"
|
||||
harness = false
|
||||
@@ -0,0 +1,93 @@
|
||||
//! What an evaluation costs.
|
||||
//!
|
||||
//! The altitudes are chosen for the paths they take, not for being round: above 72.5 km
|
||||
//! the model is the thermosphere alone, below it the mesosphere splines are built on top of
|
||||
//! a thermosphere evaluation at 72.5 km, and below 32.5 km a second set of splines is built
|
||||
//! on top of that. The three cost noticeably different amounts.
|
||||
//!
|
||||
//! The dual-number cases are the reason the crate exists, so they are measured alongside:
|
||||
//! one seeded input gives the altitude partial, three give the position gradient a drag
|
||||
//! calculation wants.
|
||||
|
||||
use criterion::{criterion_group, criterion_main, BenchmarkId, Criterion};
|
||||
use nrlmsise00::{Input, MagneticActivity, Model, Scalar};
|
||||
use num_dual::{Dual64, DualSVec64};
|
||||
use std::hint::black_box;
|
||||
|
||||
/// The baseline of the reference's published cases, at an altitude of the caller's choice.
|
||||
fn input<T: Scalar>(altitude_km: T) -> Input<T> {
|
||||
Input {
|
||||
day_of_year: 172,
|
||||
seconds_of_day: T::lift(29000.0),
|
||||
altitude_km,
|
||||
latitude_deg: T::lift(60.0),
|
||||
longitude_deg: T::lift(-70.0),
|
||||
local_solar_time_h: T::lift(16.0),
|
||||
f107_average: T::lift(150.0),
|
||||
f107: T::lift(150.0),
|
||||
magnetic: MagneticActivity::History {
|
||||
ap: [100.0; 7].map(T::lift),
|
||||
},
|
||||
}
|
||||
}
|
||||
|
||||
/// An altitude in each of the model's three vertical regions, and one in the exosphere.
|
||||
const ALTITUDES: [(&str, f64); 4] = [
|
||||
("20 km, three splines", 20.0),
|
||||
("50 km, two splines", 50.0),
|
||||
("400 km, thermosphere", 400.0),
|
||||
("1000 km, exosphere", 1000.0),
|
||||
];
|
||||
|
||||
fn gtd7d(c: &mut Criterion) {
|
||||
let model = Model::new();
|
||||
let mut group = c.benchmark_group("gtd7d");
|
||||
for (name, altitude) in ALTITUDES {
|
||||
group.bench_with_input(BenchmarkId::new("f64", name), &altitude, |b, altitude| {
|
||||
b.iter(|| model.gtd7d(black_box(&input(*altitude))));
|
||||
});
|
||||
}
|
||||
group.finish();
|
||||
}
|
||||
|
||||
fn derivatives(c: &mut Criterion) {
|
||||
let model = Model::new();
|
||||
let mut group = c.benchmark_group("gtd7d with derivatives");
|
||||
for (name, altitude) in ALTITUDES {
|
||||
// One partial: the altitude derivative a scale height comes from.
|
||||
group.bench_with_input(
|
||||
BenchmarkId::new("one partial", name),
|
||||
&altitude,
|
||||
|b, altitude| {
|
||||
let seeded = Dual64::from(*altitude).derivative();
|
||||
b.iter(|| model.gtd7d(black_box(&input(seeded))));
|
||||
},
|
||||
);
|
||||
// Three at once: the position gradient, which is what a drag partial needs.
|
||||
group.bench_with_input(
|
||||
BenchmarkId::new("three partials", name),
|
||||
&altitude,
|
||||
|b, altitude| {
|
||||
// Seeded in the first of three slots, as a position gradient would be.
|
||||
let seeded = DualSVec64::<3>::from(*altitude).derivative(0);
|
||||
b.iter(|| model.gtd7d(black_box(&input(seeded))));
|
||||
},
|
||||
);
|
||||
}
|
||||
group.finish();
|
||||
}
|
||||
|
||||
/// The two entry points, to show that the drag total costs nothing extra.
|
||||
fn entry_points(c: &mut Criterion) {
|
||||
let model = Model::new();
|
||||
let mut group = c.benchmark_group("entry points at 400 km");
|
||||
group.bench_function("gtd7", |b| b.iter(|| model.gtd7(black_box(&input(400.0)))));
|
||||
group.bench_function("gtd7d", |b| {
|
||||
b.iter(|| model.gtd7d(black_box(&input(400.0))))
|
||||
});
|
||||
group.bench_function("gts7", |b| b.iter(|| model.gts7(black_box(&input(400.0)))));
|
||||
group.finish();
|
||||
}
|
||||
|
||||
criterion_group!(benches, gtd7d, derivatives, entry_points);
|
||||
criterion_main!(benches);
|
||||
Executable
+12
@@ -0,0 +1,12 @@
|
||||
#!/bin/sh
|
||||
# Cheap checks, on the whole tree. The expensive ones are in pre-push.
|
||||
set -e
|
||||
cargo fmt --check
|
||||
cargo clippy --all-targets --all-features -- -D warnings
|
||||
cargo test --lib
|
||||
# British spellings keep slipping into generated prose. This file is excluded because it
|
||||
# holds the word list, which would otherwise match itself.
|
||||
if git diff --cached -U0 -- . ':(exclude)hooks/pre-commit' | grep -nE '^\+.*\b(metre|metres|normalis|stabilis|recognis|licence|modelling|manoeuvre|behaviour|analyse|analysing|centre|colour)' ; then
|
||||
echo "pre-commit: British spelling above; this project is US English" >&2
|
||||
exit 1
|
||||
fi
|
||||
Executable
+6
@@ -0,0 +1,6 @@
|
||||
#!/bin/sh
|
||||
# The slow checks: doctests link a binary apiece, and rustdoc is its own pass.
|
||||
set -e
|
||||
cargo test
|
||||
cargo test --no-default-features
|
||||
cargo doc --no-deps
|
||||
@@ -0,0 +1,14 @@
|
||||
[package]
|
||||
name = "nrlmsis2"
|
||||
version = "0.0.0"
|
||||
edition = "2021"
|
||||
authors = ["Connor Johnstone"]
|
||||
description = "NRLMSIS 2.0 and 2.1, generic over the scalar type. Not freely licensed; see the readme."
|
||||
readme = "readme.md"
|
||||
license-file = "nrlmsis2.1_license.txt"
|
||||
# Academic and non-commercial use only, and the methods are patented. This
|
||||
# package is deliberately not publishable; see readme.md.
|
||||
publish = false
|
||||
|
||||
[dependencies]
|
||||
nrlmsise00 = { path = "..", default-features = false }
|
||||
@@ -0,0 +1,71 @@
|
||||
MSIS® (NRL-SOF-014-1) SOFTWARE
|
||||
OPEN SOURCE ACADEMIC RESEARCH LICENSE AGREEMENT
|
||||
|
||||
1. Agreement. The MSIS® empirical atmospheric model software (hereinafter
|
||||
“Software”) is property of The Government of the United States of America. This
|
||||
software is being made available under the following terms and conditions. By
|
||||
using, modifying, reproducing, or preparing a derivative work of this Software,
|
||||
you agree to abide by the terms and conditions herein.
|
||||
|
||||
2. License. In accordance with federal law, authorization is given to use,
|
||||
reproduce, and modify the Software solely for research, academic, and non-profit
|
||||
purposes and only in accordance with the terms and conditions in this Agreement.
|
||||
Any commercial use is prohibited. No other rights or permissions are provided.
|
||||
|
||||
3. Basis. The Software was written by employees of the U.S. Naval Research
|
||||
Laboratory (NRL) and is property of the United States Government, as represented
|
||||
by the Secretary of the Navy. MSIS® is a registered trademark of the Government
|
||||
of the United States of America, as represented by the Secretary of the Navy.
|
||||
Unauthorized use of the trademark is prohibited.
|
||||
|
||||
4. Restrictions and Use.
|
||||
|
||||
a. Sales. A user of the Software shall not sell, or license, or transfer for a
|
||||
fee the Software or portion thereof, or any derivative work of the Software, or
|
||||
any data products generated by the Software, without first obtaining the written
|
||||
consent of IP Counsel for the Naval Research Laboratory.
|
||||
|
||||
b. Modifications. All modifications to the Software and derivative works of the
|
||||
Software (including translations to other programming languages) shall carry
|
||||
prominent notices stating how the files were changed and the date of the change.
|
||||
Any party who modifies the Software shall deliver the modified portion of the
|
||||
Software to authors or NRL Code 7630, U.S. Naval Research Laboratory. Any
|
||||
reproductions, modified versions of the Software, or derivative works shall be
|
||||
made available to the public as open source software. A party who modifies the
|
||||
Software or creates a derivative work of the Software hereby grants the
|
||||
Government of the United States of America a non-exclusive, irrevocable, fully
|
||||
paid-up license to such modifications and derivative works, and shall deliver
|
||||
such derivative works, including any source code, data, or information that
|
||||
pertains to such derivatives works, to Code 7630, U.S. Naval Research
|
||||
Laboratory. If any modifications to the Software substantially change the model
|
||||
output (including, but not limited to, alterations of the model formulation or
|
||||
model parameter values), then the modified Software shall not be identified
|
||||
“MSIS” without first obtaining the written consent of Counsel, Office of Naval
|
||||
Research, Department of the Navy. In such cases, the MSIS acronym shall
|
||||
nonetheless still appear in the individual files in order to document the
|
||||
provenance of the modified Software.
|
||||
|
||||
c. Notices. Each copy of the Software, any modified Software, or derivative
|
||||
work shall include a file containing this Agreement. Any software package that
|
||||
incorporates the MSIS® Software or derivative work shall include the following
|
||||
statement: "This software incorporates the MSIS® empirical atmospheric model
|
||||
software designed and provided by NRL. Use is governed by the Open Source
|
||||
Academic Research License Agreement contained in the file
|
||||
nrlmsis2.1_license.txt."
|
||||
|
||||
5. Disclaimer of Warranty and Liability: As the owner of the MSIS® software, the
|
||||
Government of the United States of America: (1) Disclaims any warranties,
|
||||
express, or implied, including but not limited to any implied warranties of
|
||||
merchantability, fitness for a particular purpose, title or non-infringement,
|
||||
(2) Does not assume any legal liability or responsibility for the accuracy,
|
||||
completeness, or usefulness of the software, (3) Does not represent that use of
|
||||
the software would not infringe privately owned rights, (4) Does not warrant
|
||||
that the software will function uninterrupted, that is error-free or that any
|
||||
errors will be corrected.
|
||||
|
||||
6. No Support. The Software is provided without any support or maintenance, and
|
||||
without any obligation to provide modifications, improvements, enhancements, or
|
||||
updates of the Software. No oral or written information or advice given by the
|
||||
NRL authors shall create a warranty or in any way modify this agreement. Should
|
||||
the Software prove defective, the user (and not NRL or any NRL representative)
|
||||
assume the cost of all necessary correction.
|
||||
@@ -0,0 +1,68 @@
|
||||
# nrlmsis2
|
||||
|
||||
NRLMSIS 2.0 and 2.1. **Nothing is implemented yet**, and anyone who implements it should
|
||||
read this file first, because the terms are not the ones the rest of this repository uses.
|
||||
|
||||
## Why it is a separate package
|
||||
|
||||
`nrlmsise00`, the 2002 model, is MIT. This cannot be.
|
||||
|
||||
NRLMSIS 2.0's terms, which ship in the headers of its Fortran and in `pymsis`'s
|
||||
`MSIS2_LICENSE`, grant "a non-exclusive, non-transferable license to the Software for
|
||||
academic, non-commercial, purposes only", and forbid the user to "make any modification or
|
||||
improvement to the Software" without written consent from IP Counsel at the Naval Research
|
||||
Laboratory. They also state that the methods are covered by **US Patent 10,641,925**,
|
||||
"Formulation and fitting techniques for whole-atmosphere empirical models", assigned to the
|
||||
US Department of the Navy, filed 2019-06-13, granted 2020-05-05, and expiring 2039-06-13.
|
||||
|
||||
NRLMSIS 2.1 ships the "MSIS (NRL-SOF-014-1) Software Open Source Academic Research License
|
||||
Agreement", which is in this directory as `nrlmsis2.1_license.txt`. Its terms:
|
||||
|
||||
- Use, reproduction and modification are authorized "solely for research, academic, and
|
||||
non-profit purposes". **Any commercial use is prohibited.**
|
||||
- Derivative works, **explicitly including "translations to other programming languages"**,
|
||||
must carry prominent notices stating how the files were changed and when, must be
|
||||
delivered to the authors or to NRL Code 7630, and must be made available to the public as
|
||||
open source.
|
||||
- Neither the software nor any data product generated by it may be sold, licensed or
|
||||
transferred for a fee without written consent from NRL IP Counsel.
|
||||
- Every copy must include a file containing the agreement, and any package incorporating it
|
||||
must carry this statement verbatim:
|
||||
|
||||
> This software incorporates the MSIS® empirical atmospheric model software designed and
|
||||
> provided by NRL. Use is governed by the Open Source Academic Research License Agreement
|
||||
> contained in the file nrlmsis2.1_license.txt.
|
||||
|
||||
So a Rust port of NRLMSIS 2.x is a derivative work on those terms. It is not distributable
|
||||
under the MIT license, it cannot be used commercially, and publishing it obliges delivery of
|
||||
the source to NRL. That is why this package is `publish = false`, and why it is a separate
|
||||
package rather than a feature of `nrlmsise00`: a crate that enabled it would carry the same
|
||||
restriction to everyone downstream.
|
||||
|
||||
Nobody else redistributes it either. `space-physics/nrlmsis2.0`'s readme opens with "the
|
||||
MSIS 2.0 license is extremely restrictive" and its build downloads the source rather than
|
||||
shipping it; `pymsis` is MIT for its own wrapper and carries the MSIS license separately for
|
||||
the Fortran it wraps. No Rust crate implements 2.x at all — `tobari` and `satkit` are both
|
||||
NRLMSISE-00.
|
||||
|
||||
## What implementing it would involve
|
||||
|
||||
Unlike the 2002 model, 2.0 and 2.1 are one Fortran 90 codebase that reads its coefficients
|
||||
from a binary parameter file: `msis21.parm` is 524 KB. The two versions differ mostly in
|
||||
that file, so one implementation covers both. The vertical structure is B-splines rather
|
||||
than the layered profiles of NRLMSISE-00, so almost nothing in `nrlmsise00` is reusable
|
||||
beyond the scalar trait and the drivers.
|
||||
|
||||
Validating it needs a reference at full precision. The distribution's own
|
||||
`msis2.1_test_ref_dp.txt` carries only four significant digits, which is nowhere near
|
||||
enough for the bit-for-bit comparison `nrlmsise00` is held to, so generating one means
|
||||
running the Fortran: `gfortran` is not installed on this machine, and `pymsis` would do as
|
||||
well since it wraps the same code.
|
||||
|
||||
Before any of that, the question for a human is whether the obligations above are acceptable
|
||||
for this repository at all.
|
||||
|
||||
## License
|
||||
|
||||
Not MIT. See `nrlmsis2.1_license.txt`, which governs any use of the model this package
|
||||
would implement.
|
||||
@@ -0,0 +1,5 @@
|
||||
//! NRLMSIS 2.0 and 2.1.
|
||||
//!
|
||||
//! Nothing is implemented yet. The package exists to fence the licensing: a port of
|
||||
//! NRLMSIS 2.x cannot be distributed on the terms the rest of this repository uses, so it
|
||||
//! lives here rather than in `nrlmsise00`. Read `readme.md` before writing any of it.
|
||||
@@ -0,0 +1,129 @@
|
||||
# NRLMSISE-00, as a crate
|
||||
|
||||
**Status:** planned, not started
|
||||
**Created:** 2026-10-01
|
||||
**Why a separate crate:** it is a self-contained empirical model with its own validation
|
||||
story, and nothing about it is specific to the library that will consume it.
|
||||
|
||||
## What it is for
|
||||
|
||||
An atmospheric density model generic over its scalar type, so that a propagation using it
|
||||
can be differentiated as well as solved.
|
||||
|
||||
That is the whole reason to write one. Two Rust implementations already exist and are
|
||||
usable:
|
||||
|
||||
| Crate | License | Validated against |
|
||||
|---|---|---|
|
||||
| `tobari` | MIT | `pymsis`, the official NRL Fortran wrapper |
|
||||
| `satkit` | MIT OR Apache-2.0 | GMAT drag cases |
|
||||
|
||||
Both are `f64`. Depending on either would mean density could be computed but not
|
||||
differentiated, and that is not a small loss: density falls by a factor of e about every
|
||||
50 km, so dropping its dependence on position makes a drag partial badly wrong rather than
|
||||
slightly wrong.
|
||||
|
||||
So the single acceptance criterion that justifies the work: **the derivative of density
|
||||
with respect to altitude, taken through the model by a dual number, agrees with central
|
||||
differences and with `-1/H` from the scale height.**
|
||||
|
||||
## The validation target already exists
|
||||
|
||||
`astrokit/tests/fixtures/nrlmsise00-cases.json` — the seventeen standard test cases, inputs
|
||||
and outputs at seventeen significant digits. Copy it over.
|
||||
|
||||
Regenerable by `astrokit/scripts/generate-msis-cases.sh`, which fetches Dominik Brodowski's
|
||||
C translation of the NRL Fortran, compiles it with a driver that prints more digits than its
|
||||
own test does, runs it, and discards the source. What is committed is numbers, which are
|
||||
facts about the model rather than anyone's code. The reference's SHA-256 is in the fixture
|
||||
header.
|
||||
|
||||
The cases vary one input at a time from a baseline of day 172, 29000 s UT, 400 km, 60 N,
|
||||
70 W, local solar time 16 h, F10.7 and its 81-day average 150, ap 4. Between them they reach
|
||||
0 to 1000 km in altitude, the equator, local midnight, low and high flux, a storm, and the
|
||||
two cases that use the seven-element ap history rather than a daily value.
|
||||
|
||||
**Make these numbers.** Then widen with a grid.
|
||||
|
||||
## Order of work
|
||||
|
||||
1. **Coefficient tables, generated rather than transcribed.** `nrlmsise-00_data.c` holds PT,
|
||||
PD (9 rows), PS, PDL (2), PTM, PDM (8), PTL (4), PMA (10), SAM and PAVGM — about 2700
|
||||
numbers. Write a script that emits them as Rust statics, in the manner of
|
||||
`astrokit/scripts/generate-gravity-field.py`. Do it alongside the structure, since the
|
||||
shapes have to match what reads them. Transcribing by hand is the classic way to lose a
|
||||
week.
|
||||
2. **The small helpers, each with its own test.** `spline`, `splint`, `splini`, `densu`,
|
||||
`densm`, `ccor`, `ccor2`, `scalh`, `dnet`, `glatf`, `zeta`. These are where a port
|
||||
quietly goes wrong and they are individually checkable, which the big ones are not.
|
||||
3. **`globe7` and `glob7s`** — the expansions in latitude, day of year, local time and flux.
|
||||
The largest pieces, and the ones the switches act on.
|
||||
4. **`gts7`**, then **`gtd7`** and **`gtd7d`**.
|
||||
5. **The seventeen cases.**
|
||||
6. **A grid fixture**: altitude by latitude by local time by flux by ap, from the same
|
||||
script, to catch what the seventeen happen not to exercise.
|
||||
|
||||
## What genericity needs
|
||||
|
||||
Everything the model computes with is available on a scalar trait of the usual shape —
|
||||
`exp`, `log`, `sqrt`, `tanh`, `cos`, `sin`, `powi`, `atan`. Three rules, all learned the
|
||||
hard way in `astrokit`:
|
||||
|
||||
- **Every magnitude comparison branches on the real part.** There are many: the altitude
|
||||
bands, the exponent clamps in `ccor` and `dnet`, the `g0` and `sumex` guards. A dual
|
||||
number cannot be compared, and the branch is correct on the real part because the
|
||||
quantity being tested is a real one.
|
||||
- **Coefficient tables and switch flags stay `f64`.** `T op f64` works, so lifting them
|
||||
would only cost memory and cache.
|
||||
- **`f64` on the left of an operator is not implemented.** `T * f64` is; `f64 * T` is not,
|
||||
and cannot be, because of the orphan rule. This has bitten twice in `astrokit`.
|
||||
|
||||
## Traps, roughly by how expensive they are to find late
|
||||
|
||||
- **A consumer computing drag wants `gtd7d`, not `gtd7`.** They differ only in the total
|
||||
mass density: `gtd7d` includes anomalous oxygen and `gtd7` does not, which matters above
|
||||
about 500 km. The fixture gives all nine number densities, so both totals can be checked
|
||||
from it — `gtd7d` is
|
||||
`1.66e-24 * (4 He + 16 O + 28 N2 + 32 O2 + 40 Ar + H + 14 N + 16 anomalous O)`.
|
||||
Expose both and make the difference obvious in the names and the docs.
|
||||
- **Fortran is 1-indexed and the C translation already shifted the arrays.** Pick one source
|
||||
and stay with it. Mixing them is how an off-by-one gets in.
|
||||
- **Units.** The model returns cm^-3 and g/cm^3 unless its metric switch is set. Decide once
|
||||
whether the crate speaks SI at its boundary — it should — and convert in exactly one
|
||||
place. The fixture is in the model's own units and says so in its header.
|
||||
- **`switches[9] = -1` selects the ap-history mode**, which is what a real propagation uses
|
||||
and what cases 15 and 16 exercise. The daily-ap mode is the simpler default and is not the
|
||||
one that matters.
|
||||
- **Local solar time has to agree with the seconds of day and the longitude**, as
|
||||
`lst = sec/3600 + lon/15`. The model does not check and gives quietly wrong answers when
|
||||
they disagree. Derive it inside rather than taking it as an input.
|
||||
- **The 23 switches are a real part of the interface**, not a detail: they turn individual
|
||||
terms on and off, and a `-1` means something different from a `0`. Model them as a type
|
||||
rather than an array of floats if it can be done without cost.
|
||||
|
||||
## Checks beyond matching the reference
|
||||
|
||||
- Density falls monotonically with altitude from 100 to 1000 km, and its logarithmic slope
|
||||
is a scale height in the tens of kilometers.
|
||||
- Day is denser than night at the same altitude; a storm is denser than quiet; high flux is
|
||||
denser than low.
|
||||
- **It differentiates.** The acceptance criterion above. Without this the crate has no
|
||||
reason to exist.
|
||||
|
||||
## What the consumer already provides
|
||||
|
||||
`astrokit::atmosphere::drivers` reads a committed record of F10.7 and ap, and gives the
|
||||
previous day's observed flux, the 81-day centered average and the seven-element ap history
|
||||
in the order the model wants them. So the crate's interface should take those as plain
|
||||
numbers and own no data of its own.
|
||||
|
||||
One consequence worth knowing: the centered 81-day average needs forty days either side, so
|
||||
the usable end of any driver record is forty days before its last measurement.
|
||||
|
||||
## Naming
|
||||
|
||||
`nrlmsise00` is free on crates.io as of 2026-10-01 — confirm before publishing. MSIS is a
|
||||
registered trademark; `tobari`'s module doc handles this well, claiming nominative fair use
|
||||
for identifying compatibility. The model itself is the work of Picone, Hedin and Drob at the
|
||||
US Naval Research Laboratory, believed to be in the public domain as a US Government work
|
||||
under 17 U.S.C. 105, though NRL attached no explicit license. Say so.
|
||||
@@ -0,0 +1,182 @@
|
||||
# nrlmsise00
|
||||
|
||||
The NRLMSISE-00 empirical atmosphere model, generic over its scalar type.
|
||||
|
||||
Evaluated at `f64` it gives density and temperature. Evaluated at a forward-mode dual
|
||||
number it gives density *and* its exact derivatives, which is the reason this crate exists:
|
||||
density falls by a factor of e about every fifty kilometers, so a drag partial that drops
|
||||
its dependence on position is badly wrong rather than slightly wrong. Two other Rust
|
||||
implementations exist and both are `f64` only.
|
||||
|
||||
```rust
|
||||
use nrlmsise00::{Input, MagneticActivity, Model};
|
||||
|
||||
let model = Model::new();
|
||||
let output = model.gtd7d(&Input::consistent(
|
||||
172, // day of year
|
||||
29000.0, // seconds of universal time
|
||||
400.0, // altitude, km
|
||||
60.0, // latitude, degrees north
|
||||
-70.0, // longitude, degrees east
|
||||
150.0, // 81-day average F10.7, centered
|
||||
150.0, // previous day's F10.7
|
||||
MagneticActivity::Daily { ap: 4.0 },
|
||||
));
|
||||
|
||||
// SI at the boundary: kg/m^3 and m^-3. Local solar time comes out at 3.4 h here, since
|
||||
// `consistent` derives it from the universal time and the longitude.
|
||||
assert!((output.total_mass - 2.400e-12).abs() < 0.001e-12);
|
||||
assert!((output.temperature - 1098.2).abs() < 0.1);
|
||||
```
|
||||
|
||||
And the derivative, through the model rather than around it:
|
||||
|
||||
```rust
|
||||
# #[cfg(feature = "autodiff")]
|
||||
# fn main() {
|
||||
use num_dual::{Dual64, DualNum};
|
||||
use nrlmsise00::{Input, MagneticActivity, Model, Scalar};
|
||||
|
||||
let model = Model::new();
|
||||
let altitude = Dual64::from(400.0).derivative();
|
||||
let output = model.gtd7d(&Input::consistent(
|
||||
172,
|
||||
Dual64::lift(29000.0),
|
||||
altitude,
|
||||
Dual64::lift(60.0),
|
||||
Dual64::lift(-70.0),
|
||||
Dual64::lift(150.0),
|
||||
Dual64::lift(150.0),
|
||||
MagneticActivity::Daily { ap: Dual64::lift(4.0) },
|
||||
));
|
||||
|
||||
// d(rho)/dz, in kg/m^3 per km, and the scale height it implies.
|
||||
let scale_height = -output.total_mass.re / output.total_mass.eps;
|
||||
assert!((scale_height - 55.8).abs() < 0.1);
|
||||
# }
|
||||
# #[cfg(not(feature = "autodiff"))]
|
||||
# fn main() {}
|
||||
```
|
||||
|
||||
## `gtd7` or `gtd7d`
|
||||
|
||||
They differ in one number. `gtd7`'s total mass density sums helium, atomic oxygen,
|
||||
molecular nitrogen, molecular oxygen, argon, hydrogen and atomic nitrogen. `gtd7d` also
|
||||
includes anomalous oxygen, which is hot atomic oxygen and is 18.6% of the mass at 1000 km
|
||||
in the model's own standard case. **A drag calculation wants `gtd7d`.** The individual
|
||||
number densities are identical either way.
|
||||
|
||||
## How closely it matches the reference
|
||||
|
||||
At `f64`, bit for bit, over every case there is to compare against:
|
||||
|
||||
| What | Cases | Values compared |
|
||||
|---|---|---|
|
||||
| The standard test cases | 17 | 187 |
|
||||
| A wide input grid, fifty altitudes against sixty scenarios under eight switch settings | 2880 | 31680 |
|
||||
| The individual helpers, expansions and profiles | 819 | several thousand |
|
||||
|
||||
The comparisons are exact rather than approximate because an approximate one would not
|
||||
notice a term dropped from an expansion whose contribution happens to be small where it is
|
||||
sampled. The fixtures hold the reference's own output at seventeen significant digits and
|
||||
are regenerated by the scripts in `scripts/`, which fetch
|
||||
[Dominik Brodowski's C translation](https://github.com/magnific0/nrlmsise-00) of the NRL
|
||||
Fortran, run it, and discard the source: what is committed is numbers, which are facts
|
||||
about the model rather than anyone's code.
|
||||
|
||||
At a dual type the value agrees to about 1e-14 rather than exactly, because `num-dual`
|
||||
computes a division as a reciprocal and a multiply. See the `scalar` module docs.
|
||||
|
||||
## Where it deliberately differs from the reference
|
||||
|
||||
The reference keeps its working state in file-scope statics, so two of its answers depend
|
||||
on what was asked before them. Both are fixed here, and both are fixed by computing a
|
||||
value the reference reads without having written rather than by changing any arithmetic:
|
||||
|
||||
- **At exactly 32.5 km**, it splines through temperature nodes its own call never filled.
|
||||
- **With switch 15 off, below 72.5 km**, it scales every species from a mixed nitrogen
|
||||
density its own call never computed.
|
||||
|
||||
These nodes and that density do not depend on altitude, so filling them reproduces what a
|
||||
preceding call would have left, which is why the grid fixture still matches at 32.5 km in
|
||||
sixty scenarios. Nothing else departs from the reference's control flow.
|
||||
|
||||
## It is not continuous in altitude
|
||||
|
||||
Worth knowing before integrating through it. Each species' mixed correction is dropped
|
||||
above a fitted altitude by a test on the altitude alone, and the model's three vertical
|
||||
regions are joined by switches rather than smoothly, so the density steps. Sweeping 72.5 to
|
||||
1000 km at ten meters and comparing each interval against the model's own derivative finds
|
||||
eight places where it does, and no others:
|
||||
|
||||
| Altitude | Total mass density | What happens there |
|
||||
|---|---|---|
|
||||
| 72.5 km | 1.0e-3 | the join between the model's two halves |
|
||||
| 123.435 km | 1.5e-3 | `za`, the join between the Bates profile and the spline below it |
|
||||
| 160 km | 7.1e-5 | molecular nitrogen's mixed correction is dropped |
|
||||
| 240 km | 2.3e-6 | argon's |
|
||||
| 250 km | 1.9e-5 | molecular oxygen's |
|
||||
| 300 km | 5.3e-5 | atomic oxygen's, and the lower thermosphere temperature variation |
|
||||
| 428.475 km | 6.9e-7 | atomic nitrogen's turbopause blend saturates, a step of about exp(-10) |
|
||||
| 450 km | 3.5e-5 | atomic nitrogen's mixed correction is dropped |
|
||||
|
||||
Individual species move more than the total does — up to 3e-3 — because the species that
|
||||
steps is usually not the one carrying the mass. Above 500 km there are no jumps at all.
|
||||
|
||||
The temperature is continuous at all of these but `za`, where the **exospheric temperature
|
||||
steps by nearly two fifths**: 1027.3 K to 1426.4 K in the standard case. That is the
|
||||
reference's documented behavior rather than an artifact, its header saying the exospheric
|
||||
temperature "is set to global average for altitudes below 120 km", and it is what makes
|
||||
123.435 km the largest discontinuity in the model above 72.5 km.
|
||||
|
||||
## What is not implemented
|
||||
|
||||
`ghp7`, the reference's pressure-level entry point, which answers at a given pressure
|
||||
rather than a given altitude. It is a secant iteration wrapped around `gtd7`, so a caller
|
||||
who wants it can write it against this crate; nothing in the model needs it.
|
||||
|
||||
## Units and switches
|
||||
|
||||
The crate answers in SI by default — m^-3, kg/m^3 and K — using the model's own metric
|
||||
switch, so the conversion happens in one place and is the reference's own. `Units::Native`
|
||||
gives the cm^-3 and g/cm^3 the published cases are quoted in.
|
||||
|
||||
The twenty-three switches are named rather than indexed, and each has three states: the
|
||||
reference's 2 keeps a term's cross terms while dropping the term itself. The reference's
|
||||
switch 9 does two jobs, one of which is to select between a daily ap value and a
|
||||
seven-element history; that is a statement about the data, so it lives on the input as
|
||||
`MagneticActivity` and the mode cannot disagree with the values.
|
||||
|
||||
## Drivers
|
||||
|
||||
The solar and geomagnetic values the model reads are measurements, and this crate does not
|
||||
own them: `f107`, `f107_average` and the ap history are plain numbers on the input, so a
|
||||
caller with its own record passes them straight in and pays nothing for the convenience it
|
||||
is not using.
|
||||
|
||||
The `drivers` feature, on by default, is **not implemented yet**. It will add a
|
||||
compiled-in record of those measurements and a lookup by date, for callers who would rather
|
||||
not source their own. The feature is declared now so that turning it on later is not a
|
||||
change to what `default` means.
|
||||
|
||||
## The model is not this crate's work
|
||||
|
||||
NRLMSISE-00 is the work of Mike Picone, Alan Hedin and Doug Drob at the US Naval Research
|
||||
Laboratory, published as Picone et al. (2002), *NRLMSISE-00 empirical model of the
|
||||
atmosphere: Statistical comparisons and scientific issues*, J. Geophys. Res. 107(A12). It
|
||||
is believed to be in the public domain as a work of the US Government under 17 U.S.C. 105;
|
||||
NRL attached no explicit license to it. The coefficients compiled into this crate are the
|
||||
model's own.
|
||||
|
||||
MSIS is a registered trademark of the Government of the United States of America, as
|
||||
represented by the Secretary of the Navy. It is used here only to identify which model this
|
||||
implements, which is nominative fair use; this crate is not endorsed by or affiliated with
|
||||
NRL or the US Navy.
|
||||
|
||||
Later versions of the model — NRLMSIS 2.0 and 2.1 — are **not** here and cannot be, on
|
||||
these terms: they are licensed for academic and non-commercial use only and their methods
|
||||
are covered by US Patent 10,641,925. See `nrlmsis2/readme.md` in the repository.
|
||||
|
||||
## License
|
||||
|
||||
MIT, for this implementation.
|
||||
Executable
+171
@@ -0,0 +1,171 @@
|
||||
#!/bin/sh
|
||||
# Generates tests/fixtures/grid-cases.csv: a wide sweep of the model's inputs, to catch
|
||||
# what the seventeen standard cases happen not to exercise and to hold a performance
|
||||
# change to the same answers.
|
||||
#
|
||||
# The seventeen vary one input at a time from one baseline. That leaves most of the input
|
||||
# space untouched: no case combines a storm with low flux, none is in the southern
|
||||
# hemisphere in winter, none sits just either side of the 72.5 and 120 km seams between the
|
||||
# model's three vertical regions, and only two use the ap history. This sweeps a dense
|
||||
# ladder of altitudes against a spread of the other inputs, and against eight switch
|
||||
# settings.
|
||||
#
|
||||
# Fetches Dominik Brodowski's C translation of the NRL Fortran, runs it, and throws the
|
||||
# source away. What is committed is the numbers, which are facts about the model rather than
|
||||
# anyone's code. The model itself is the work of Picone, Hedin and Drob at the US Naval
|
||||
# Research Laboratory. Needs a C compiler and network access.
|
||||
#
|
||||
# Usage: scripts/generate-grid-cases.sh
|
||||
|
||||
set -e
|
||||
|
||||
root=$(CDPATH= cd -- "$(dirname -- "$0")/.." && pwd)
|
||||
out="$root/tests/fixtures/grid-cases.csv"
|
||||
work=$(mktemp -d)
|
||||
trap 'rm -rf "$work"' EXIT
|
||||
|
||||
base="https://raw.githubusercontent.com/magnific0/nrlmsise-00/master"
|
||||
echo "fetching the reference from $base"
|
||||
for f in nrlmsise-00.c nrlmsise-00.h nrlmsise-00_data.c; do
|
||||
curl -sS --fail --max-time 120 -L "$base/$f" -o "$work/$f"
|
||||
done
|
||||
digest=$(cat "$work/nrlmsise-00.c" "$work/nrlmsise-00_data.c" | sha256sum | cut -d' ' -f1)
|
||||
echo "source digest $digest"
|
||||
|
||||
cat > "$work/driver.c" <<'DRIVER'
|
||||
/* Writes the grid as CSV: the inputs at the digits they need, the outputs at seventeen
|
||||
* significant digits. Scenarios are drawn from a fixed linear congruential sequence, so
|
||||
* the same grid comes out every time without a table of it having to be written down. */
|
||||
#include <stdio.h>
|
||||
#include <math.h>
|
||||
#include "nrlmsise-00.h"
|
||||
|
||||
/* The altitude ladder. Dense through the lower thermosphere, where the model switches
|
||||
* between its three vertical regions, and either side of every altitude at which a
|
||||
* species' mixed correction is dropped. */
|
||||
static const double ALTS[] = {
|
||||
0.0, 0.5, 2.0, 5.0, 10.0, 20.0, 32.4, 32.5, 32.6, 45.0, 55.0, 62.5, 65.0, 70.0,
|
||||
72.4, 72.5, 72.6, 80.0, 90.0, 100.0, 110.0, 119.0, 122.0, 123.0, 125.0, 140.0,
|
||||
159.0, 161.0, 180.0, 199.0, 201.0, 220.0, 239.0, 241.0, 249.0, 251.0, 280.0,
|
||||
299.0, 301.0, 319.0, 321.0, 360.0, 400.0, 449.0, 451.0, 500.0, 600.0, 700.0,
|
||||
850.0, 1000.0
|
||||
};
|
||||
#define NALTS ((int)(sizeof ALTS / sizeof *ALTS))
|
||||
|
||||
/* How many scenarios of the other inputs to sweep the ladder against. */
|
||||
#define NSCENARIOS 60
|
||||
|
||||
static unsigned long seed = 20261002UL;
|
||||
|
||||
/* A fixed sequence, so the grid is reproducible without being written down. */
|
||||
static double next_unit(void) {
|
||||
seed = seed * 6364136223846793005UL + 1442695040888963407UL;
|
||||
return (double)((seed >> 33) & 0x7FFFFF) / (double)0x800000;
|
||||
}
|
||||
|
||||
static double between(double low, double high) {
|
||||
return low + (high - low) * next_unit();
|
||||
}
|
||||
|
||||
int main(void) {
|
||||
struct nrlmsise_output output;
|
||||
struct nrlmsise_input input;
|
||||
struct nrlmsise_flags flags;
|
||||
struct ap_array aph;
|
||||
int scenario, i, j, set;
|
||||
char switches[25];
|
||||
|
||||
printf("switches,day_of_year,seconds_of_day,altitude_km,latitude_deg,longitude_deg,"
|
||||
"local_solar_time_h,f107_average,f107,ap_daily,ap1,ap2,ap3,ap4,ap5,ap6,ap7,"
|
||||
"he,o,n2,o2,ar,total_mass,h,n,anomalous_o,exospheric_temperature,temperature\n");
|
||||
|
||||
for (scenario = 0; scenario < NSCENARIOS; scenario++) {
|
||||
/* Eight switch settings, cycled across the scenarios: everything on in each of
|
||||
* the two magnetic modes, then one family at a time turned off or set to cross
|
||||
* terms only. */
|
||||
set = scenario % 8;
|
||||
for (i = 0; i < 24; i++) flags.switches[i] = 1;
|
||||
flags.switches[0] = 0;
|
||||
switch (set) {
|
||||
case 0: flags.switches[9] = -1; break;
|
||||
case 1: break;
|
||||
case 2: flags.switches[9] = 0; break;
|
||||
case 3: flags.switches[9] = -1; flags.switches[15] = 0; break;
|
||||
case 4: flags.switches[9] = -1; flags.switches[7] = 0;
|
||||
flags.switches[8] = 0; flags.switches[14] = 0; break;
|
||||
case 5: flags.switches[9] = -1; flags.switches[3] = 2;
|
||||
flags.switches[5] = 2; flags.switches[6] = 2; break;
|
||||
case 6: flags.switches[9] = -1; flags.switches[10] = 0; break;
|
||||
case 7: flags.switches[9] = -1; flags.switches[16] = 0;
|
||||
flags.switches[17] = 0; flags.switches[18] = 0;
|
||||
flags.switches[20] = 0; flags.switches[22] = 0; break;
|
||||
}
|
||||
/* gtd7 resolves the switches itself; these are the raw values. */
|
||||
for (i = 0; i < 24; i++) {
|
||||
if (i == 9) {
|
||||
switches[i] = flags.switches[i] == -1 ? 'h'
|
||||
: (char)('0' + flags.switches[i]);
|
||||
} else {
|
||||
switches[i] = (char)('0' + flags.switches[i]);
|
||||
}
|
||||
}
|
||||
switches[24] = '\0';
|
||||
|
||||
input.year = 0;
|
||||
input.doy = 1 + (int)between(0.0, 365.0);
|
||||
input.sec = between(0.0, 86400.0);
|
||||
input.g_lat = between(-90.0, 90.0);
|
||||
input.g_long = between(-180.0, 180.0);
|
||||
/* Consistent with the universal time and the longitude, as the model asks, except
|
||||
* where a scenario deliberately breaks it to exercise the independent inputs. */
|
||||
input.lst = input.sec / 3600.0 + input.g_long / 15.0;
|
||||
if (scenario % 7 == 3) input.lst = between(0.0, 24.0);
|
||||
input.f107A = between(65.0, 250.0);
|
||||
input.f107 = between(65.0, 300.0);
|
||||
input.ap = between(0.0, 300.0);
|
||||
for (i = 0; i < 7; i++) aph.a[i] = between(0.0, 300.0);
|
||||
input.ap_a = &aph;
|
||||
|
||||
for (j = 0; j < NALTS; j++) {
|
||||
input.alt = ALTS[j];
|
||||
/* With switch 15 off, the reference reads a mixed nitrogen density that its
|
||||
* own call never wrote, so below 72.5 km its answer depends on which call
|
||||
* last happened to write that static. There is nothing to validate against
|
||||
* there, so those rows are left out; the same switch setting above 72.5 km,
|
||||
* where the value is unused, is kept. */
|
||||
if (flags.switches[15] == 0 && input.alt < 72.5) continue;
|
||||
gtd7(&input, &flags, &output);
|
||||
printf("%s,%d,%.17g,%.17g,%.17g,%.17g,%.17g,%.17g,%.17g,%.17g",
|
||||
switches, input.doy, input.sec, input.alt, input.g_lat, input.g_long,
|
||||
input.lst, input.f107A, input.f107, input.ap);
|
||||
for (i = 0; i < 7; i++) printf(",%.17g", aph.a[i]);
|
||||
for (i = 0; i < 9; i++) printf(",%.17e", output.d[i]);
|
||||
printf(",%.17e,%.17e\n", output.t[0], output.t[1]);
|
||||
}
|
||||
}
|
||||
return 0;
|
||||
}
|
||||
DRIVER
|
||||
|
||||
cc -O2 -o "$work/driver" "$work/nrlmsise-00.c" "$work/nrlmsise-00_data.c" "$work/driver.c" -lm
|
||||
mkdir -p "$(dirname "$out")"
|
||||
{
|
||||
echo "# The NRLMSISE-00 model over a wide sweep of its inputs, for validating a port."
|
||||
echo "# model: NRLMSISE-00, by Picone, Hedin and Drob at the US Naval Research Laboratory"
|
||||
echo "# reference: $base, Dominik Brodowski's C translation of the NRL Fortran"
|
||||
echo "# reference_sha256: $digest"
|
||||
echo "# generated: $(date -u +%Y-%m-%d) by scripts/generate-grid-cases.sh"
|
||||
echo "# units: the model's own, since switch 0 is left at its standard value."
|
||||
echo "# altitude km, angles degrees, number densities cm^-3, total mass g/cm^3, K."
|
||||
echo "# switches: the reference's 24, in order, as 0, 1 or 2; index 9 is h for the ap"
|
||||
echo "# history mode, which is the reference's -1."
|
||||
echo "# Rows with switch 15 off and an altitude below 72.5 km are absent: there the"
|
||||
echo "# reference reads a density its own call never wrote, so its answer depends on"
|
||||
echo "# what was asked before it and there is nothing to compare against."
|
||||
"$work/driver"
|
||||
} > "$out"
|
||||
|
||||
python3 -c "
|
||||
rows = [l for l in open('$out') if not l.startswith('#')]
|
||||
print(f'wrote tests/fixtures/grid-cases.csv: {len(rows) - 1} cases, {len(open(\"$out\").read()) / 1e6:.2f} MB')
|
||||
"
|
||||
Executable
+364
@@ -0,0 +1,364 @@
|
||||
#!/bin/sh
|
||||
# Generates tests/fixtures/helper-cases.json: reference values for the small functions a
|
||||
# port of NRLMSISE-00 is built from, so a failure can be localized to one of them rather
|
||||
# than only showing up in the nine densities at the end.
|
||||
#
|
||||
# Fetches Dominik Brodowski's C translation of the NRL Fortran and compiles a driver that
|
||||
# #includes the implementation rather than linking against it. That is the point: the shared
|
||||
# state the model keeps in file-scope statics — gravity, the Earth radius, the mesosphere
|
||||
# temperature nodes — is then visible to the driver, which can set it explicitly and call
|
||||
# any helper at a known state. Linking cannot do that.
|
||||
#
|
||||
# What is committed is the numbers, which are facts about the model rather than anyone's
|
||||
# code. The model itself is the work of Picone, Hedin and Drob at the US Naval Research
|
||||
# Laboratory. Needs a C compiler and network access; rerun it only to regenerate.
|
||||
#
|
||||
# Usage: scripts/generate-helper-cases.sh
|
||||
|
||||
set -e
|
||||
|
||||
root=$(CDPATH= cd -- "$(dirname -- "$0")/.." && pwd)
|
||||
out="$root/tests/fixtures/helper-cases.json"
|
||||
work=$(mktemp -d)
|
||||
trap 'rm -rf "$work"' EXIT
|
||||
|
||||
base="https://raw.githubusercontent.com/magnific0/nrlmsise-00/master"
|
||||
echo "fetching the reference from $base"
|
||||
for f in nrlmsise-00.c nrlmsise-00.h nrlmsise-00_data.c; do
|
||||
curl -sS --fail --max-time 120 -L "$base/$f" -o "$work/$f"
|
||||
done
|
||||
digest=$(cat "$work/nrlmsise-00.c" "$work/nrlmsise-00_data.c" | sha256sum | cut -d' ' -f1)
|
||||
echo "source digest $digest"
|
||||
|
||||
cat > "$work/driver.c" <<'DRIVER'
|
||||
/* Prints reference values for the helpers, at seventeen significant digits.
|
||||
*
|
||||
* The implementation is #included so that its statics are in this translation unit and can
|
||||
* be set before a helper is called. printf is redefined first: dnet prints a message on a
|
||||
* non-positive density, and one of the cases below is there to exercise exactly that. */
|
||||
#include <stdio.h>
|
||||
#include <math.h>
|
||||
#define printf(...) ((void)0)
|
||||
#include "nrlmsise-00.c"
|
||||
#undef printf
|
||||
|
||||
#define N(x) printf("%.17e", (double)(x))
|
||||
|
||||
static int first_case = 1;
|
||||
|
||||
static void start(const char *what) {
|
||||
if (!first_case) printf(",\n");
|
||||
first_case = 0;
|
||||
printf(" {\"helper\": \"%s\"", what);
|
||||
}
|
||||
|
||||
static void arg(const char *name, double v) {
|
||||
printf(", \"%s\": ", name);
|
||||
N(v);
|
||||
}
|
||||
|
||||
static void array(const char *name, const double *v, int n) {
|
||||
int i;
|
||||
printf(", \"%s\": [", name);
|
||||
for (i = 0; i < n; i++) { if (i) printf(", "); N(v[i]); }
|
||||
printf("]");
|
||||
}
|
||||
|
||||
static void end(void) { printf("}"); }
|
||||
|
||||
/* Latitudes to take gravity and the Earth radius at. */
|
||||
static const double LATS[] = {-90.0, -60.0, -45.0, -23.5, 0.0, 23.5, 45.0, 60.0, 90.0, 30.7};
|
||||
|
||||
/* The node sets the model actually splines over, and a non-uniform one. */
|
||||
static const double ZN1[5] = {120.0, 110.0, 100.0, 90.0, 72.5};
|
||||
static const double ZN2[4] = {72.5, 55.0, 45.0, 32.5};
|
||||
static const double ZN3[5] = {32.5, 20.0, 15.0, 10.0, 0.0};
|
||||
|
||||
int main(void) {
|
||||
int i, k;
|
||||
double gv, reff, tz, value;
|
||||
double xs[5], ys[5], y2[5];
|
||||
|
||||
printf("[\n");
|
||||
|
||||
/* glatf: pure. */
|
||||
for (i = 0; i < (int)(sizeof LATS / sizeof *LATS); i++) {
|
||||
glatf(LATS[i], &gv, &reff);
|
||||
start("glatf"); arg("lat", LATS[i]); arg("gravity", gv); arg("radius", reff); end();
|
||||
}
|
||||
|
||||
/* zeta and scalh: read gsurf and re, which are set here rather than by a model run. */
|
||||
glatf(45.0, &gsurf, &re);
|
||||
{
|
||||
const double zz[] = {0.0, 10.0, 72.5, 120.0, 400.0, 1000.0};
|
||||
const double zl[] = {0.0, 32.5, 120.0};
|
||||
for (i = 0; i < 6; i++) for (k = 0; k < 3; k++) {
|
||||
start("zeta"); arg("gsurf", gsurf); arg("re", re);
|
||||
arg("zz", zz[i]); arg("zl", zl[k]); arg("value", zeta(zz[i], zl[k])); end();
|
||||
}
|
||||
const double masses[] = {4.0, 16.0, 28.0, 32.0};
|
||||
const double temps[] = {180.0, 300.0, 1000.0, 1500.0};
|
||||
for (i = 0; i < 4; i++) for (k = 0; k < 4; k++) {
|
||||
start("scalh"); arg("gsurf", gsurf); arg("re", re);
|
||||
arg("alt", 400.0 + 100.0 * i); arg("xm", masses[i]); arg("temp", temps[k]);
|
||||
arg("value", scalh(400.0 + 100.0 * i, masses[i], temps[k])); end();
|
||||
}
|
||||
}
|
||||
|
||||
/* ccor and ccor2: pure, and both have two clamped branches to reach. */
|
||||
{
|
||||
const double alts[] = {0.0, 72.5, 100.0, 200.0, 500.0, 1.0e5, -1.0e5};
|
||||
const double rs[] = {-0.5, 0.0, 0.25, 2.0};
|
||||
for (i = 0; i < 7; i++) for (k = 0; k < 4; k++) {
|
||||
start("ccor"); arg("alt", alts[i]); arg("r", rs[k]); arg("h1", 20.0);
|
||||
arg("zh", 100.0); arg("value", ccor(alts[i], rs[k], 20.0, 100.0)); end();
|
||||
start("ccor2"); arg("alt", alts[i]); arg("r", rs[k]); arg("h1", 20.0);
|
||||
arg("zh", 100.0); arg("h2", 5.0);
|
||||
arg("value", ccor2(alts[i], rs[k], 20.0, 100.0, 5.0)); end();
|
||||
}
|
||||
}
|
||||
|
||||
/* dnet: the blend, both exponent clamps, and the non-positive guard. */
|
||||
{
|
||||
const double dd[] = {1.0e7, 1.0e7, 1.0e7, 1.0e-30, 1.0e30, 0.0, 1.0e7, 0.0};
|
||||
const double dm[] = {1.0e7, 1.0e5, 1.0e9, 1.0e7, 1.0e7, 1.0e7, 0.0, 0.0};
|
||||
for (i = 0; i < 8; i++) {
|
||||
start("dnet"); arg("dd", dd[i]); arg("dm", dm[i]); arg("zhm", 4.0e4);
|
||||
arg("xmm", 28.95); arg("xm", 16.0);
|
||||
arg("value", dnet(dd[i], dm[i], 4.0e4, 28.95, 16.0)); end();
|
||||
}
|
||||
}
|
||||
|
||||
/* spline, splint and splini, over the model's own node sets. */
|
||||
{
|
||||
const double *nodes[3]; int counts[3];
|
||||
nodes[0] = ZN1; counts[0] = 5;
|
||||
nodes[1] = ZN2; counts[1] = 4;
|
||||
nodes[2] = ZN3; counts[2] = 5;
|
||||
for (i = 0; i < 3; i++) {
|
||||
int n = counts[i];
|
||||
/* The abscissae the model splines over are normalized geopotential heights,
|
||||
* ascending, and the ordinates are inverse temperatures. */
|
||||
for (k = 0; k < n; k++) {
|
||||
xs[k] = (double)k / (double)(n - 1);
|
||||
ys[k] = 1.0 / (200.0 + 15.0 * k - 0.4 * k * k);
|
||||
}
|
||||
double yd1 = -1.5e-5, yd2 = 3.0e-6;
|
||||
spline(xs, ys, n, yd1, yd2, y2);
|
||||
start("spline"); array("xs", xs, n); array("ys", ys, n);
|
||||
arg("yd1", yd1); arg("yd2", yd2); array("y2", y2, n); end();
|
||||
for (k = 0; k <= 8; k++) {
|
||||
double x = -0.1 + 0.15 * k;
|
||||
splint(xs, ys, y2, n, x, &value);
|
||||
start("splint"); array("xs", xs, n); array("ys", ys, n);
|
||||
array("y2", y2, n); arg("x", x); arg("value", value); end();
|
||||
splini(xs, ys, y2, n, x, &value);
|
||||
start("splini"); array("xs", xs, n); array("ys", ys, n);
|
||||
array("y2", y2, n); arg("x", x); arg("value", value); end();
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/* densu: needs gsurf, re, the tn1 nodes and the tgn1 gradients. */
|
||||
glatf(60.0, &gsurf, &re);
|
||||
meso_tn1[1] = 365.0; meso_tn1[2] = 240.0; meso_tn1[3] = 195.0; meso_tn1[4] = 208.0;
|
||||
meso_tgn1[0] = 0.0; meso_tgn1[1] = 8.0;
|
||||
{
|
||||
const double alts[] = {0.0, 50.0, 72.5, 90.0, 110.0, 120.0, 200.0, 400.0, 1000.0};
|
||||
const double masses[] = {0.0, 4.0, 16.0, 28.0};
|
||||
const double alphas[] = {0.0, -0.38, 0.0, 0.0};
|
||||
double zn1[5];
|
||||
for (k = 0; k < 5; k++) zn1[k] = ZN1[k];
|
||||
for (i = 0; i < 9; i++) for (k = 0; k < 4; k++) {
|
||||
double tn1[5], tgn1[2];
|
||||
int j;
|
||||
for (j = 0; j < 5; j++) tn1[j] = meso_tn1[j];
|
||||
tgn1[0] = meso_tgn1[0]; tgn1[1] = meso_tgn1[1];
|
||||
tz = 0.0;
|
||||
value = densu(alts[i], 3.0e11, 1250.0, 386.0, masses[k], alphas[k], &tz,
|
||||
120.0, 0.02, 5, zn1, tn1, tgn1);
|
||||
start("densu"); arg("gsurf", gsurf); arg("re", re);
|
||||
arg("alt", alts[i]); arg("dlb", 3.0e11); arg("tinf", 1250.0); arg("tlb", 386.0);
|
||||
arg("xm", masses[k]); arg("alpha", alphas[k]); arg("zlb", 120.0);
|
||||
arg("s2", 0.02); array("zn1", zn1, 5);
|
||||
array("tn1_in", tn1, 5); array("tgn1_in", tgn1, 2);
|
||||
arg("value", value); arg("tz", tz);
|
||||
/* densu writes the Bates temperature and gradient back into node zero. */
|
||||
array("tn1_out", tn1, 5); array("tgn1_out", tgn1, 2); end();
|
||||
}
|
||||
}
|
||||
|
||||
/* densm: needs the tn2 and tn3 nodes and their gradients. */
|
||||
{
|
||||
double tn2[4] = {208.0, 260.0, 268.0, 228.0};
|
||||
double tgn2[2] = {8.0, -3.0};
|
||||
double tn3[5] = {228.0, 218.0, 214.0, 222.0, 288.0};
|
||||
double tgn3[2] = {-3.0, -6.0};
|
||||
double zn2[4], zn3[5];
|
||||
const double alts[] = {0.0, 5.0, 10.0, 20.0, 32.5, 45.0, 60.0, 72.5, 80.0};
|
||||
const double masses[] = {0.0, 28.95};
|
||||
for (k = 0; k < 4; k++) zn2[k] = ZN2[k];
|
||||
for (k = 0; k < 5; k++) zn3[k] = ZN3[k];
|
||||
for (i = 0; i < 9; i++) for (k = 0; k < 2; k++) {
|
||||
double a2[4], g2[2], a3[5], g3[2];
|
||||
int j;
|
||||
for (j = 0; j < 4; j++) a2[j] = tn2[j];
|
||||
for (j = 0; j < 5; j++) a3[j] = tn3[j];
|
||||
g2[0] = tgn2[0]; g2[1] = tgn2[1]; g3[0] = tgn3[0]; g3[1] = tgn3[1];
|
||||
tz = 0.0;
|
||||
value = densm(alts[i], 1.0e19, masses[k], &tz, 5, zn3, a3, g3, 4, zn2, a2, g2);
|
||||
start("densm"); arg("gsurf", gsurf); arg("re", re);
|
||||
arg("alt", alts[i]); arg("d0", 1.0e19); arg("xm", masses[k]);
|
||||
array("zn3", zn3, 5); array("zn2", zn2, 4);
|
||||
array("tn3", a3, 5); array("tgn3", g3, 2);
|
||||
array("tn2", a2, 4); array("tgn2", g2, 2);
|
||||
arg("value", value); arg("tz", tz); end();
|
||||
}
|
||||
}
|
||||
|
||||
/* globe7 and glob7s: the expansions, over every coefficient table each is called
|
||||
* with. They share the LPOLY state: globe7 writes the Legendre polynomials, the local
|
||||
* time harmonics, the flux departure and the magnetic activity functions, and glob7s
|
||||
* reads them. So each glob7s case records the state it was called at, which is
|
||||
* whatever the preceding globe7 left. */
|
||||
{
|
||||
struct nrlmsise_input in[6];
|
||||
struct nrlmsise_flags flags;
|
||||
struct ap_array aph;
|
||||
int c, s;
|
||||
/* The tables globe7 is called with: pt, ps, then the nine rows of pd. */
|
||||
double *g7[11];
|
||||
const char *g7name[11] = {"pt", "ps", "pd0", "pd1", "pd2", "pd3", "pd4",
|
||||
"pd5", "pd6", "pd7", "pd8"};
|
||||
/* The tables glob7s is called with: the four rows of ptl, then the ten of pma. */
|
||||
double *g7s[14];
|
||||
const char *g7sname[14] = {"ptl0", "ptl1", "ptl2", "ptl3", "pma0", "pma1", "pma2",
|
||||
"pma3", "pma4", "pma5", "pma6", "pma7", "pma8", "pma9"};
|
||||
g7[0] = pt; g7[1] = ps;
|
||||
for (i = 0; i < 9; i++) g7[2 + i] = pd[i];
|
||||
for (i = 0; i < 4; i++) g7s[i] = ptl[i];
|
||||
for (i = 0; i < 10; i++) g7s[4 + i] = pma[i];
|
||||
|
||||
for (i = 0; i < 7; i++) aph.a[i] = 40.0 + 20.0 * i;
|
||||
|
||||
/* A spread of input states: the standard case, then the equator, local midnight,
|
||||
* a storm, low flux and the southern hemisphere in the other season. */
|
||||
for (i = 0; i < 6; i++) {
|
||||
in[i].year = 0; in[i].doy = 172; in[i].sec = 29000.0; in[i].alt = 400.0;
|
||||
in[i].g_lat = 60.0; in[i].g_long = -70.0; in[i].lst = 16.0;
|
||||
in[i].f107A = 150.0; in[i].f107 = 150.0; in[i].ap = 4.0; in[i].ap_a = &aph;
|
||||
}
|
||||
in[1].g_lat = 0.0;
|
||||
in[2].lst = 0.0; in[2].sec = 0.0; in[2].g_long = 0.0;
|
||||
in[3].ap = 207.0; in[3].f107 = 230.0;
|
||||
in[4].f107A = 70.0; in[4].f107 = 68.0;
|
||||
in[5].doy = 15; in[5].g_lat = -45.0; in[5].g_long = 150.0; in[5].lst = 9.5;
|
||||
|
||||
/* Switch sets: everything on, the daily-ap mode, cross terms only on the
|
||||
* seasonal terms, and the diurnal family off. */
|
||||
for (s = 0; s < 4; s++) {
|
||||
for (k = 0; k < 24; k++) flags.switches[k] = 1;
|
||||
flags.switches[0] = 0;
|
||||
if (s == 0) flags.switches[9] = -1;
|
||||
if (s == 2) { flags.switches[3] = 2; flags.switches[5] = 2; flags.switches[9] = -1; }
|
||||
if (s == 3) { flags.switches[7] = 0; flags.switches[8] = 0;
|
||||
flags.switches[14] = 0; flags.switches[9] = 0; }
|
||||
tselec(&flags);
|
||||
|
||||
for (c = 0; c < 6; c++) {
|
||||
for (i = 0; i < 11; i++) {
|
||||
double value = globe7(g7[i], &in[c], &flags);
|
||||
start("globe7");
|
||||
printf(", \"table\": \"%s\", \"switch_set\": %d, \"case\": %d",
|
||||
g7name[i], s, c);
|
||||
array("switches_in", (double[24]){
|
||||
flags.switches[0], flags.switches[1], flags.switches[2],
|
||||
flags.switches[3], flags.switches[4], flags.switches[5],
|
||||
flags.switches[6], flags.switches[7], flags.switches[8],
|
||||
flags.switches[9], flags.switches[10], flags.switches[11],
|
||||
flags.switches[12], flags.switches[13], flags.switches[14],
|
||||
flags.switches[15], flags.switches[16], flags.switches[17],
|
||||
flags.switches[18], flags.switches[19], flags.switches[20],
|
||||
flags.switches[21], flags.switches[22], flags.switches[23]}, 24);
|
||||
arg("day_of_year", in[c].doy);
|
||||
arg("seconds_of_day", in[c].sec);
|
||||
arg("latitude_deg", in[c].g_lat);
|
||||
arg("longitude_deg", in[c].g_long);
|
||||
arg("local_solar_time_h", in[c].lst);
|
||||
arg("f107_average", in[c].f107A);
|
||||
arg("f107", in[c].f107);
|
||||
arg("ap_daily", in[c].ap);
|
||||
array("ap_history", aph.a, 7);
|
||||
arg("value", value);
|
||||
/* The state it leaves behind, which glob7s then reads. */
|
||||
array("plg0", plg[0], 9); array("plg1", plg[1], 9);
|
||||
array("plg2", plg[2], 9); array("plg3", plg[3], 9);
|
||||
arg("stloc", stloc); arg("ctloc", ctloc);
|
||||
arg("s2tloc", s2tloc); arg("c2tloc", c2tloc);
|
||||
arg("s3tloc", s3tloc); arg("c3tloc", c3tloc);
|
||||
arg("dfa", dfa); arg("apdf", apdf); array("apt", apt, 4);
|
||||
end();
|
||||
}
|
||||
/* globe7 with pt again, so the state the glob7s cases record is the one a
|
||||
* model run would have left. */
|
||||
(void) globe7(pt, &in[c], &flags);
|
||||
for (i = 0; i < 14; i++) {
|
||||
double value = glob7s(g7s[i], &in[c], &flags);
|
||||
start("glob7s");
|
||||
printf(", \"table\": \"%s\", \"switch_set\": %d, \"case\": %d",
|
||||
g7sname[i], s, c);
|
||||
array("switches_in", (double[24]){
|
||||
flags.switches[0], flags.switches[1], flags.switches[2],
|
||||
flags.switches[3], flags.switches[4], flags.switches[5],
|
||||
flags.switches[6], flags.switches[7], flags.switches[8],
|
||||
flags.switches[9], flags.switches[10], flags.switches[11],
|
||||
flags.switches[12], flags.switches[13], flags.switches[14],
|
||||
flags.switches[15], flags.switches[16], flags.switches[17],
|
||||
flags.switches[18], flags.switches[19], flags.switches[20],
|
||||
flags.switches[21], flags.switches[22], flags.switches[23]}, 24);
|
||||
arg("day_of_year", in[c].doy);
|
||||
arg("longitude_deg", in[c].g_long);
|
||||
array("plg0", plg[0], 9); array("plg1", plg[1], 9);
|
||||
array("plg2", plg[2], 9); array("plg3", plg[3], 9);
|
||||
arg("stloc", stloc); arg("ctloc", ctloc);
|
||||
arg("s2tloc", s2tloc); arg("c2tloc", c2tloc);
|
||||
arg("s3tloc", s3tloc); arg("c3tloc", c3tloc);
|
||||
arg("dfa", dfa); arg("apdf", apdf); array("apt", apt, 4);
|
||||
arg("value", value);
|
||||
end();
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
printf("\n]\n");
|
||||
return 0;
|
||||
}
|
||||
DRIVER
|
||||
|
||||
cc -O2 -o "$work/driver" "$work/driver.c" "$work/nrlmsise-00_data.c" -lm -I"$work"
|
||||
mkdir -p "$(dirname "$out")"
|
||||
{
|
||||
echo "{"
|
||||
echo " \"what\": \"Reference values for the helper functions NRLMSISE-00 is built from.\","
|
||||
echo " \"model\": \"NRLMSISE-00, by Picone, Hedin and Drob at the US Naval Research Laboratory\","
|
||||
echo " \"reference\": \"$base, Dominik Brodowski's C translation of the NRL Fortran\","
|
||||
echo " \"reference_sha256\": \"$digest\","
|
||||
echo " \"generated\": \"$(date -u +%Y-%m-%d)\","
|
||||
echo " \"generated_by\": \"scripts/generate-helper-cases.sh\","
|
||||
echo " \"units\": \"The model's own: km, K, cm^-3, g/cm^3, and cm/s^2 for gravity.\","
|
||||
echo " \"note\": \"gsurf and re are the shared state the helper was called at, not arguments to it.\","
|
||||
echo " \"cases\":"
|
||||
"$work/driver" | sed 's/^/ /'
|
||||
echo "}"
|
||||
} > "$out"
|
||||
|
||||
python3 -c "
|
||||
import json
|
||||
from collections import Counter
|
||||
cases = json.load(open('$out'))['cases']
|
||||
counts = Counter(c['helper'] for c in cases)
|
||||
print(f'wrote tests/fixtures/helper-cases.json: {len(cases)} cases')
|
||||
for name, n in sorted(counts.items()):
|
||||
print(f' {name:>8}: {n}')
|
||||
"
|
||||
Executable
+117
@@ -0,0 +1,117 @@
|
||||
#!/bin/sh
|
||||
# Generates tests/fixtures/nrlmsise00-cases.json: the seventeen standard NRLMSISE-00 test
|
||||
# cases, with inputs and outputs at full precision, for a port to be validated against.
|
||||
#
|
||||
# Fetches Dominik Brodowski's C translation of the NRL Fortran, compiles it with a driver
|
||||
# that prints more digits than its own test does, runs it, and throws the source away. What
|
||||
# is committed is the numbers, which are facts about the model rather than anyone's code.
|
||||
#
|
||||
# The model itself is the work of Picone, Hedin and Drob at the US Naval Research
|
||||
# Laboratory. Needs a C compiler and network access; rerun it only to regenerate.
|
||||
#
|
||||
# Usage: scripts/generate-msis-cases.sh
|
||||
|
||||
set -e
|
||||
|
||||
root=$(CDPATH= cd -- "$(dirname -- "$0")/.." && pwd)
|
||||
out="$root/tests/fixtures/nrlmsise00-cases.json"
|
||||
work=$(mktemp -d)
|
||||
trap 'rm -rf "$work"' EXIT
|
||||
|
||||
base="https://raw.githubusercontent.com/magnific0/nrlmsise-00/master"
|
||||
echo "fetching the reference from $base"
|
||||
for f in nrlmsise-00.c nrlmsise-00.h nrlmsise-00_data.c; do
|
||||
curl -sS --fail --max-time 120 -L "$base/$f" -o "$work/$f"
|
||||
done
|
||||
digest=$(cat "$work/nrlmsise-00.c" "$work/nrlmsise-00_data.c" | sha256sum | cut -d' ' -f1)
|
||||
echo "source digest $digest"
|
||||
|
||||
cat > "$work/driver.c" <<'DRIVER'
|
||||
/* Prints the seventeen standard cases as JSON, at seventeen significant digits.
|
||||
*
|
||||
* The cases are those of the reference distribution's own test_gtd7, which varies one
|
||||
* input at a time from a common baseline: day 172, 29000 s UT, 400 km, 60 N, 70 W, local
|
||||
* solar time 16 h, F10.7 and its average 150, ap 4. Cases 15 and 16 use the seven-element
|
||||
* ap history instead of the daily value, which is the mode a real propagation runs in. */
|
||||
#include <stdio.h>
|
||||
#include "nrlmsise-00.h"
|
||||
|
||||
int main(void) {
|
||||
struct nrlmsise_output output[17];
|
||||
struct nrlmsise_input input[17];
|
||||
struct nrlmsise_flags flags;
|
||||
struct ap_array aph;
|
||||
int i, j;
|
||||
|
||||
for (i = 0; i < 7; i++) aph.a[i] = 100;
|
||||
flags.switches[0] = 0;
|
||||
for (i = 1; i < 24; i++) flags.switches[i] = 1;
|
||||
for (i = 0; i < 17; i++) {
|
||||
input[i].doy = 172; input[i].year = 0; input[i].sec = 29000;
|
||||
input[i].alt = 400; input[i].g_lat = 60; input[i].g_long = -70;
|
||||
input[i].lst = 16; input[i].f107A = 150; input[i].f107 = 150; input[i].ap = 4;
|
||||
}
|
||||
input[1].doy = 81;
|
||||
input[2].sec = 75000; input[2].alt = 1000;
|
||||
input[3].alt = 100;
|
||||
input[10].alt = 0; input[11].alt = 10; input[12].alt = 30;
|
||||
input[13].alt = 50; input[14].alt = 70; input[16].alt = 100;
|
||||
input[4].g_lat = 0;
|
||||
input[5].g_long = 0;
|
||||
input[6].lst = 4;
|
||||
input[7].f107A = 70;
|
||||
input[8].f107 = 180;
|
||||
input[9].ap = 40;
|
||||
input[15].ap_a = &aph; input[16].ap_a = &aph;
|
||||
|
||||
for (i = 0; i < 15; i++) gtd7(&input[i], &flags, &output[i]);
|
||||
flags.switches[9] = -1;
|
||||
for (i = 15; i < 17; i++) gtd7(&input[i], &flags, &output[i]);
|
||||
|
||||
printf("[\n");
|
||||
for (i = 0; i < 17; i++) {
|
||||
printf(" {\"case\": %d,\n", i);
|
||||
printf(" \"day_of_year\": %d, \"seconds_of_day\": %.17e,\n",
|
||||
input[i].doy, input[i].sec);
|
||||
printf(" \"altitude_km\": %.17e, \"latitude_deg\": %.17e, \"longitude_deg\": %.17e,\n",
|
||||
input[i].alt, input[i].g_lat, input[i].g_long);
|
||||
printf(" \"local_solar_time_h\": %.17e,\n", input[i].lst);
|
||||
printf(" \"f107_average\": %.17e, \"f107\": %.17e, \"ap_daily\": %.17e,\n",
|
||||
input[i].f107A, input[i].f107, input[i].ap);
|
||||
printf(" \"ap_history\": %s,\n", i >= 15 ? "[100,100,100,100,100,100,100]" : "null");
|
||||
printf(" \"densities\": [");
|
||||
for (j = 0; j < 9; j++) printf("%s%.17e", j ? ", " : "", output[i].d[j]);
|
||||
printf("],\n \"temperatures\": [%.17e, %.17e]\n", output[i].t[0], output[i].t[1]);
|
||||
printf(" }%s\n", i == 16 ? "" : ",");
|
||||
}
|
||||
printf("]\n");
|
||||
return 0;
|
||||
}
|
||||
DRIVER
|
||||
|
||||
cc -O2 -o "$work/driver" "$work/nrlmsise-00.c" "$work/nrlmsise-00_data.c" "$work/driver.c" -lm
|
||||
mkdir -p "$(dirname "$out")"
|
||||
{
|
||||
echo "{"
|
||||
echo " \"what\": \"The seventeen standard NRLMSISE-00 test cases, for validating a port.\","
|
||||
echo " \"model\": \"NRLMSISE-00, by Picone, Hedin and Drob at the US Naval Research Laboratory\","
|
||||
echo " \"reference\": \"$base, Dominik Brodowski's C translation of the NRL Fortran\","
|
||||
echo " \"reference_sha256\": \"$digest\","
|
||||
echo " \"generated\": \"$(date -u +%Y-%m-%d)\","
|
||||
echo " \"generated_by\": \"scripts/generate-msis-cases.sh\","
|
||||
echo " \"densities\": \"He, O, N2, O2, Ar, total mass, H, N, anomalous O. Number densities in cm^-3 and the total in g/cm^3, which is what the model returns unless its metric switch is set; convert at the boundary.\","
|
||||
echo " \"temperatures\": \"exospheric, then at the altitude asked for, in K.\","
|
||||
echo " \"cases\":"
|
||||
"$work/driver" | sed 's/^/ /'
|
||||
echo "}"
|
||||
} > "$out"
|
||||
|
||||
python3 -c "
|
||||
import json, sys
|
||||
cases = json.load(open('$out'))['cases']
|
||||
assert len(cases) == 17, len(cases)
|
||||
print(f'wrote tests/fixtures/nrlmsise00-cases.json: {len(cases)} cases')
|
||||
for c in (0, 3, 16):
|
||||
d = cases[c]
|
||||
print(f\" case {d['case']:>2}: {d['altitude_km']:>6.0f} km -> total mass {d['densities'][5]:.6e} g/cm^3\")
|
||||
"
|
||||
Executable
+163
@@ -0,0 +1,163 @@
|
||||
#!/usr/bin/env python3
|
||||
"""Generates src/tables.rs: the NRLMSISE-00 coefficient tables as Rust statics.
|
||||
|
||||
Fetches Dominik Brodowski's C translation of the NRL Fortran, parses the block data out of
|
||||
nrlmsise-00_data.c, and writes the numbers as statics with the shapes the model reads them
|
||||
at. The source is not kept. What is committed is the coefficients, which are the model
|
||||
itself rather than anyone's code.
|
||||
|
||||
The decimal digits are emitted exactly as the reference writes them. Both C and Rust round
|
||||
decimal to binary correctly, so the compiled doubles are bit-identical to the reference's.
|
||||
|
||||
The model itself is the work of Picone, Hedin and Drob at the US Naval Research Laboratory.
|
||||
Needs network access; rerun it only to regenerate.
|
||||
|
||||
Usage: scripts/generate-tables.py
|
||||
"""
|
||||
|
||||
import hashlib
|
||||
import re
|
||||
import subprocess
|
||||
import urllib.request
|
||||
from datetime import date, timezone, datetime
|
||||
from pathlib import Path
|
||||
|
||||
BASE = "https://raw.githubusercontent.com/magnific0/nrlmsise-00/master"
|
||||
ROOT = Path(__file__).resolve().parent.parent
|
||||
OUT = ROOT / "src" / "tables.rs"
|
||||
|
||||
# The tables the model reads, with the shape it reads them at and what each one sets.
|
||||
#
|
||||
# ptm is declared double[50] in the data file but extern double[10] in the model, and only
|
||||
# its first ten values are initialized. Ten is what is emitted: indices 0 to 8 are read and
|
||||
# index 9 is the last one the data file gives.
|
||||
TABLES = [
|
||||
("pt", "PT", (150,), "Exospheric temperature."),
|
||||
("pd", "PD", (9, 150), "Species densities at the lower boundary, and TLB."),
|
||||
("ps", "PS", (150,), "The 120 km temperature gradient, S."),
|
||||
("pdl", "PDL", (2, 25), "Turbopause heights, chemistry corrections and scale lengths."),
|
||||
("ptm", "PTM", (10,), "Lower boundary temperatures, gradient and height."),
|
||||
("pdm", "PDM", (8, 10), "Lower boundary densities, turbopause and correction heights."),
|
||||
("ptl", "PTL", (4, 100), "Lower thermosphere temperature nodes, TN1."),
|
||||
("pma", "PMA", (10, 100), "Mesosphere and stratosphere temperature nodes, TN2 and TN3."),
|
||||
("pavgm", "PAVGM", (10,), "Global average temperatures the TN2 and TN3 nodes scale."),
|
||||
]
|
||||
|
||||
# sam[100] is in the data file and no part of NRLMSISE-00 reads it, so it is not emitted.
|
||||
UNUSED = ["sam"]
|
||||
|
||||
|
||||
def fetch(name: str) -> str:
|
||||
with urllib.request.urlopen(f"{BASE}/{name}", timeout=120) as response:
|
||||
return response.read().decode("ascii")
|
||||
|
||||
|
||||
def numbers(text: str) -> list[str]:
|
||||
"""The numeric literals of a C initializer, as the digits the reference writes."""
|
||||
return re.findall(r"[-+]?\d*\.?\d+(?:[Ee][-+]?\d+)?", text)
|
||||
|
||||
|
||||
def parse(source: str, name: str, shape: tuple[int, ...]) -> tuple[list[str], list[str]]:
|
||||
"""The literals of one table, and the comment labelling each row of a 2D one."""
|
||||
pattern = rf"double\s+{name}\s*(?:\[\d+\])+\s*=\s*\{{(.*?)\}};"
|
||||
match = re.search(pattern, source, re.S)
|
||||
if match is None:
|
||||
raise SystemExit(f"{name}: not found in the reference data file")
|
||||
body = match.group(1)
|
||||
|
||||
# Row labels, where the reference gives them: a comment between one row's closing brace
|
||||
# and the next row's opening brace labels the row that follows it.
|
||||
labels = ["" for _ in range(shape[0] if len(shape) > 1 else 1)]
|
||||
if len(shape) > 1:
|
||||
head = source[: match.start()]
|
||||
first = re.findall(r"/\*\s*([^*]*?)\s*\*/\s*$", head.strip())
|
||||
labels[0] = first[0] if first else ""
|
||||
for index, label in enumerate(re.findall(r"\}\s*,\s*/\*\s*(.*?)\s*\*/\s*\{", body, re.S)):
|
||||
if index + 1 < len(labels):
|
||||
labels[index + 1] = " ".join(label.split())
|
||||
|
||||
literals = numbers(re.sub(r"/\*.*?\*/", "", body, flags=re.S))
|
||||
wanted = 1
|
||||
for dimension in shape:
|
||||
wanted *= dimension
|
||||
if len(literals) > wanted:
|
||||
raise SystemExit(f"{name}: {len(literals)} literals for a shape of {shape}")
|
||||
# ptm is initialized short of its declared length; C zero-fills the rest.
|
||||
literals += ["0.00000E+00"] * (wanted - len(literals))
|
||||
return literals, labels
|
||||
|
||||
|
||||
def rust(literal: str) -> str:
|
||||
"""One C literal as a Rust one, with the same digits."""
|
||||
text = literal.lower().replace("e+0", "e").replace("e-0", "e-")
|
||||
if text.endswith("e"):
|
||||
text = text[:-1]
|
||||
mantissa, _, exponent = text.partition("e")
|
||||
if "." not in mantissa:
|
||||
mantissa += ".0"
|
||||
return mantissa if exponent in ("", "0") else f"{mantissa}e{exponent}"
|
||||
|
||||
|
||||
def rows(literals: list[str], per_line: int = 5) -> list[str]:
|
||||
out = []
|
||||
for start in range(0, len(literals), per_line):
|
||||
out.append(", ".join(rust(value) for value in literals[start : start + per_line]) + ",")
|
||||
return out
|
||||
|
||||
|
||||
def emit(source: str, digest: str) -> str:
|
||||
lines = [
|
||||
"//! The NRLMSISE-00 coefficient tables.",
|
||||
"//!",
|
||||
"//! Generated by `scripts/generate-tables.py` from Dominik Brodowski's C translation",
|
||||
"//! of the NRL Fortran; do not edit. The coefficients are the model, which is the work",
|
||||
"//! of Picone, Hedin and Drob at the US Naval Research Laboratory.",
|
||||
"//!",
|
||||
f"//! Source: <{BASE}>",
|
||||
f"//! Source SHA-256 (nrlmsise-00.c and nrlmsise-00_data.c): {digest}",
|
||||
f"//! Generated: {date.today().isoformat()}",
|
||||
"//!",
|
||||
"//! The reference's `sam[100]` is not here: no part of NRLMSISE-00 reads it.",
|
||||
"",
|
||||
"#![allow(clippy::all)]",
|
||||
"",
|
||||
]
|
||||
for name, konst, shape, what in TABLES:
|
||||
literals, labels = parse(source, name, shape)
|
||||
lines.append(f"/// {what}")
|
||||
lines.append(f"///")
|
||||
lines.append(f"/// `{name}` in the reference.")
|
||||
if len(shape) == 1:
|
||||
lines.append(f"pub(crate) static {konst}: [f64; {shape[0]}] = [")
|
||||
lines += [f" {line}" for line in rows(literals)]
|
||||
lines.append("];")
|
||||
else:
|
||||
lines.append(f"pub(crate) static {konst}: [[f64; {shape[1]}]; {shape[0]}] = [")
|
||||
for row in range(shape[0]):
|
||||
chunk = literals[row * shape[1] : (row + 1) * shape[1]]
|
||||
label = f" // {labels[row]}" if labels[row] else ""
|
||||
lines.append(f" [{label}")
|
||||
lines += [f" {line}" for line in rows(chunk)]
|
||||
lines.append(" ],")
|
||||
lines.append("];")
|
||||
lines.append("")
|
||||
return "\n".join(lines)
|
||||
|
||||
|
||||
def main() -> None:
|
||||
files = {name: fetch(name) for name in ("nrlmsise-00.c", "nrlmsise-00_data.c")}
|
||||
digest = hashlib.sha256(
|
||||
(files["nrlmsise-00.c"] + files["nrlmsise-00_data.c"]).encode("ascii")
|
||||
).hexdigest()
|
||||
print(f"source digest {digest}")
|
||||
for name in UNUSED:
|
||||
if f"double {name}" not in files["nrlmsise-00_data.c"]:
|
||||
raise SystemExit(f"{name} is gone from the reference; check what changed")
|
||||
OUT.write_text(emit(files["nrlmsise-00_data.c"], digest))
|
||||
subprocess.run(["rustfmt", "--edition", "2021", str(OUT)], check=True)
|
||||
count = len(re.findall(r"-?\d+\.\d+", OUT.read_text()))
|
||||
print(f"wrote {OUT.relative_to(ROOT)}: {count} coefficients")
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
main()
|
||||
@@ -0,0 +1,692 @@
|
||||
//! The expansions in latitude, day of year, local solar time, longitude, flux and magnetic
|
||||
//! activity: `globe7` for the thermosphere and `glob7s` for below it.
|
||||
//!
|
||||
//! These are where the model's three thousand coefficients are spent. Each builds a sum of
|
||||
//! fourteen terms, one per family of variation, and each family is scaled by the switch
|
||||
//! that governs it. The switches are indexed here by the reference's own numbers; the
|
||||
//! names are on [`crate::Switches`].
|
||||
//!
|
||||
//! `globe7` leaves the Legendre polynomials of the latitude, the local time harmonics, the
|
||||
//! flux departure and the magnetic activity functions in [`Work`], and `glob7s` reads them
|
||||
//! rather than recomputing them. So `globe7` must be called first, which the model does.
|
||||
//!
|
||||
//! Terms that are products of a day-of-year cosine and a coefficient stay `f64`, because
|
||||
//! the day of year is an integer: `cd32`, `cd18`, `cd14` and `cd39` are real constants of
|
||||
//! the call and cost nothing to carry at a dual type.
|
||||
|
||||
use crate::helpers::{DGTR, DR, HR, SR};
|
||||
use crate::input::{Input, MagneticActivity};
|
||||
use crate::scalar::Scalar;
|
||||
use crate::switches::Resolved;
|
||||
use crate::work::Work;
|
||||
|
||||
/// The three-hour magnetic activity function, equation A24d.
|
||||
fn g0<T: Scalar>(a: T, p: &[f64]) -> T {
|
||||
// sqrt(p[24]*p[24]) is the reference's way of writing |p[24]|.
|
||||
let p24 = p[24].abs();
|
||||
(a - 4.0) + ((a - 4.0) + (((a - 4.0) * (-p24)).exp() - 1.0) / p24) * (p[25] - 1.0)
|
||||
}
|
||||
|
||||
/// The normalizing sum of equation A24c.
|
||||
fn sumex<T: Scalar>(ex: T) -> T {
|
||||
(T::lift(1.0) - ex.powf(19.0)) / (T::lift(1.0) - ex) * ex.powf(0.5) + 1.0
|
||||
}
|
||||
|
||||
/// The weighted history of magnetic activity, equation A24a.
|
||||
fn sg0<T: Scalar>(ex: T, p: &[f64], ap: &[T; 7]) -> T {
|
||||
(g0(ap[1], p)
|
||||
+ (g0(ap[2], p) * ex
|
||||
+ g0(ap[3], p) * ex * ex
|
||||
+ g0(ap[4], p) * ex.powf(3.0)
|
||||
+ (g0(ap[5], p) * ex.powf(4.0) + g0(ap[6], p) * ex.powf(12.0))
|
||||
* (T::lift(1.0) - ex.powf(8.0))
|
||||
/ (T::lift(1.0) - ex)))
|
||||
/ sumex(ex)
|
||||
}
|
||||
|
||||
/// The expansion for the upper thermosphere: `globe7`.
|
||||
///
|
||||
/// Returns the sum of the fourteen term families for the coefficient set `p`, which is one
|
||||
/// of `PT`, `PS` or a row of `PD`.
|
||||
pub(crate) fn globe7<T: Scalar>(
|
||||
p: &[f64],
|
||||
input: &Input<T>,
|
||||
switches: &Resolved,
|
||||
work: &mut Work<T>,
|
||||
) -> T {
|
||||
let (sw, swc) = (&switches.sw, &switches.swc);
|
||||
let mut t = [T::lift(0.0); 14];
|
||||
let tloc = input.local_solar_time_h;
|
||||
let doy = f64::from(input.day_of_year);
|
||||
|
||||
// The associated Legendre polynomials of the latitude. The reference leaves three of
|
||||
// them commented out, and those stay out: plg[0][7], plg[1][7] and plg[1][8].
|
||||
let c = (input.latitude_deg * DGTR).sin();
|
||||
let s = (input.latitude_deg * DGTR).cos();
|
||||
let c2 = c * c;
|
||||
let c4 = c2 * c2;
|
||||
let s2 = s * s;
|
||||
|
||||
let plg = &mut work.plg;
|
||||
plg[0][1] = c;
|
||||
plg[0][2] = (c2 * 3.0 - 1.0) * 0.5;
|
||||
plg[0][3] = (c * 5.0 * c2 - c * 3.0) * 0.5;
|
||||
plg[0][4] = (c4 * 35.0 - c2 * 30.0 + 3.0) / 8.0;
|
||||
plg[0][5] = (c2 * 63.0 * c2 * c - c2 * 70.0 * c + c * 15.0) / 8.0;
|
||||
plg[0][6] = (c * 11.0 * plg[0][5] - plg[0][4] * 5.0) / 6.0;
|
||||
plg[1][1] = s;
|
||||
plg[1][2] = c * 3.0 * s;
|
||||
plg[1][3] = (c2 * 5.0 - 1.0) * 1.5 * s;
|
||||
plg[1][4] = (c2 * 7.0 * c - c * 3.0) * 2.5 * s;
|
||||
plg[1][5] = (c4 * 21.0 - c2 * 14.0 + 1.0) * 1.875 * s;
|
||||
plg[1][6] = (c * 11.0 * plg[1][5] - plg[1][4] * 6.0) / 5.0;
|
||||
plg[2][2] = s2 * 3.0;
|
||||
plg[2][3] = s2 * 15.0 * c;
|
||||
plg[2][4] = (c2 * 7.0 - 1.0) * 7.5 * s2;
|
||||
plg[2][5] = c * 3.0 * plg[2][4] - plg[2][3] * 2.0;
|
||||
plg[2][6] = (c * 11.0 * plg[2][5] - plg[2][4] * 7.0) / 4.0;
|
||||
plg[2][7] = (c * 13.0 * plg[2][6] - plg[2][5] * 8.0) / 5.0;
|
||||
plg[3][3] = s2 * 15.0 * s;
|
||||
plg[3][4] = s2 * 105.0 * s * c;
|
||||
plg[3][5] = (c * 9.0 * plg[3][4] - plg[3][3] * 7.0) / 2.0;
|
||||
plg[3][6] = (c * 11.0 * plg[3][5] - plg[3][4] * 8.0) / 3.0;
|
||||
|
||||
if !(sw[7] == 0.0 && sw[8] == 0.0 && sw[14] == 0.0) {
|
||||
work.stloc = (tloc * HR).sin();
|
||||
work.ctloc = (tloc * HR).cos();
|
||||
work.s2tloc = (tloc * (2.0 * HR)).sin();
|
||||
work.c2tloc = (tloc * (2.0 * HR)).cos();
|
||||
work.s3tloc = (tloc * (3.0 * HR)).sin();
|
||||
work.c3tloc = (tloc * (3.0 * HR)).cos();
|
||||
}
|
||||
|
||||
// Day-of-year cosines. Real constants of the call, since the day is an integer.
|
||||
let cd32 = (DR * (doy - p[31])).cos();
|
||||
let cd18 = (2.0 * DR * (doy - p[17])).cos();
|
||||
let cd14 = (DR * (doy - p[13])).cos();
|
||||
let cd39 = (2.0 * DR * (doy - p[38])).cos();
|
||||
|
||||
// F10.7 effect.
|
||||
let df = input.f107 - input.f107_average;
|
||||
work.dfa = input.f107_average - 150.0;
|
||||
let dfa = work.dfa;
|
||||
t[0] = df * p[19] * (dfa * p[59] + 1.0) + df * p[20] * df + dfa * p[21] + dfa.powf(2.0) * p[29];
|
||||
let f1 = (dfa * p[47] + df * p[19] + df * p[20] * df) * swc[1] + 1.0;
|
||||
let f2 = (dfa * p[49] + df * p[19] + df * p[20] * df) * swc[1] + 1.0;
|
||||
|
||||
let plg = work.plg;
|
||||
|
||||
// Time independent.
|
||||
t[1] = plg[0][2] * p[1]
|
||||
+ plg[0][4] * p[2]
|
||||
+ plg[0][6] * p[22]
|
||||
+ plg[0][2] * p[14] * dfa * swc[1]
|
||||
+ plg[0][1] * p[26];
|
||||
|
||||
// Symmetrical annual.
|
||||
t[2] = T::lift(p[18] * cd32);
|
||||
|
||||
// Symmetrical semiannual.
|
||||
t[3] = (plg[0][2] * p[16] + p[15]) * cd18;
|
||||
|
||||
// Asymmetrical annual.
|
||||
t[4] = f1 * (plg[0][1] * p[9] + plg[0][3] * p[10]) * cd14;
|
||||
|
||||
// Asymmetrical semiannual.
|
||||
t[5] = plg[0][1] * p[37] * cd39;
|
||||
|
||||
// Diurnal.
|
||||
if sw[7] != 0.0 {
|
||||
let t71 = plg[1][2] * p[11] * cd14 * swc[5];
|
||||
let t72 = plg[1][2] * p[12] * cd14 * swc[5];
|
||||
t[6] = f2
|
||||
* ((plg[1][1] * p[3] + plg[1][3] * p[4] + plg[1][5] * p[27] + t71) * work.ctloc
|
||||
+ (plg[1][1] * p[6] + plg[1][3] * p[7] + plg[1][5] * p[28] + t72) * work.stloc);
|
||||
}
|
||||
|
||||
// Semidiurnal.
|
||||
if sw[8] != 0.0 {
|
||||
let t81 = (plg[2][3] * p[23] + plg[2][5] * p[35]) * cd14 * swc[5];
|
||||
let t82 = (plg[2][3] * p[33] + plg[2][5] * p[36]) * cd14 * swc[5];
|
||||
t[7] = f2
|
||||
* ((plg[2][2] * p[5] + plg[2][4] * p[41] + t81) * work.c2tloc
|
||||
+ (plg[2][2] * p[8] + plg[2][4] * p[42] + t82) * work.s2tloc);
|
||||
}
|
||||
|
||||
// Terdiurnal.
|
||||
if sw[14] != 0.0 {
|
||||
t[13] = f2
|
||||
* ((plg[3][3] * p[39] + (plg[3][4] * p[93] + plg[3][6] * p[46]) * cd14 * swc[5])
|
||||
* work.s3tloc
|
||||
+ (plg[3][3] * p[40] + (plg[3][4] * p[94] + plg[3][6] * p[48]) * cd14 * swc[5])
|
||||
* work.c3tloc);
|
||||
}
|
||||
|
||||
// Magnetic activity, in whichever of its two modes the input selects.
|
||||
let sw9 = input.magnetic.sw();
|
||||
match &input.magnetic {
|
||||
MagneticActivity::History { ap } => {
|
||||
if p[51] != 0.0 {
|
||||
let mut exp1 = (T::lift(-10800.0 * p[51].abs())
|
||||
/ ((T::lift(45.0) - input.latitude_deg.abs()) * p[138] + 1.0))
|
||||
.exp();
|
||||
if exp1.re() > 0.99999 {
|
||||
exp1 = T::lift(0.99999);
|
||||
}
|
||||
// The reference clamps p[24] up to 1e-4 here, writing into the coefficient
|
||||
// table. No table it is ever called with has a value that small, so the
|
||||
// clamp cannot fire; `test_the_p24_clamp_cannot_fire` holds that down.
|
||||
work.apt[0] = sg0(exp1, p, ap);
|
||||
if sw9 != 0.0 {
|
||||
t[8] = work.apt[0]
|
||||
* (T::lift(p[50])
|
||||
+ plg[0][2] * p[96]
|
||||
+ plg[0][4] * p[54]
|
||||
+ (plg[0][1] * p[125] + plg[0][3] * p[126] + plg[0][5] * p[127])
|
||||
* cd14
|
||||
* swc[5]
|
||||
+ (plg[1][1] * p[128] + plg[1][3] * p[129] + plg[1][5] * p[130])
|
||||
* swc[7]
|
||||
* ((tloc - p[131]) * HR).cos());
|
||||
}
|
||||
}
|
||||
}
|
||||
_ => {
|
||||
let apd = input.magnetic.daily() - 4.0;
|
||||
let p44 = if p[43] < 0.0 { 1.0e-5 } else { p[43] };
|
||||
let p45 = p[44];
|
||||
work.apdf = apd + (apd + ((apd * (-p44)).exp() - 1.0) / p44) * (p45 - 1.0);
|
||||
if sw9 != 0.0 {
|
||||
t[8] = work.apdf
|
||||
* (T::lift(p[32])
|
||||
+ plg[0][2] * p[45]
|
||||
+ plg[0][4] * p[34]
|
||||
+ (plg[0][1] * p[100] + plg[0][3] * p[101] + plg[0][5] * p[102])
|
||||
* cd14
|
||||
* swc[5]
|
||||
+ (plg[1][1] * p[121] + plg[1][3] * p[122] + plg[1][5] * p[123])
|
||||
* swc[7]
|
||||
* ((tloc - p[124]) * HR).cos());
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
if sw[10] != 0.0 && input.longitude_deg.re() > -1000.0 {
|
||||
// Longitudinal.
|
||||
if sw[11] != 0.0 {
|
||||
t[10] = (dfa * p[80] * swc[1] + 1.0)
|
||||
* ((plg[1][2] * p[64]
|
||||
+ plg[1][4] * p[65]
|
||||
+ plg[1][6] * p[66]
|
||||
+ plg[1][1] * p[103]
|
||||
+ plg[1][3] * p[104]
|
||||
+ plg[1][5] * p[105]
|
||||
+ (plg[1][1] * p[109] + plg[1][3] * p[110] + plg[1][5] * p[111])
|
||||
* swc[5]
|
||||
* cd14)
|
||||
* (input.longitude_deg * DGTR).cos()
|
||||
+ (plg[1][2] * p[90]
|
||||
+ plg[1][4] * p[91]
|
||||
+ plg[1][6] * p[92]
|
||||
+ plg[1][1] * p[106]
|
||||
+ plg[1][3] * p[107]
|
||||
+ plg[1][5] * p[108]
|
||||
+ (plg[1][1] * p[112] + plg[1][3] * p[113] + plg[1][5] * p[114])
|
||||
* swc[5]
|
||||
* cd14)
|
||||
* (input.longitude_deg * DGTR).sin());
|
||||
}
|
||||
|
||||
// Universal time, and mixed universal time and longitude.
|
||||
if sw[12] != 0.0 {
|
||||
t[11] = (plg[0][1] * p[95] + 1.0)
|
||||
* (dfa * p[81] * swc[1] + 1.0)
|
||||
* (plg[0][1] * p[119] * swc[5] * cd14 + 1.0)
|
||||
* ((plg[0][1] * p[68] + plg[0][3] * p[69] + plg[0][5] * p[70])
|
||||
* ((input.seconds_of_day - p[71]) * SR).cos());
|
||||
t[11] = t[11]
|
||||
+ (plg[2][3] * p[76] + plg[2][5] * p[77] + plg[2][7] * p[78])
|
||||
* swc[11]
|
||||
* ((input.seconds_of_day - p[79]) * SR + input.longitude_deg * (2.0 * DGTR))
|
||||
.cos()
|
||||
* (dfa * p[137] * swc[1] + 1.0);
|
||||
}
|
||||
|
||||
// Mixed magnetic activity, universal time and longitude.
|
||||
if sw[13] != 0.0 {
|
||||
match &input.magnetic {
|
||||
MagneticActivity::History { .. } => {
|
||||
if p[51] != 0.0 {
|
||||
t[12] = work.apt[0]
|
||||
* swc[11]
|
||||
* (plg[0][1] * p[132] + 1.0)
|
||||
* ((plg[1][2] * p[52] + plg[1][4] * p[98] + plg[1][6] * p[67])
|
||||
* ((input.longitude_deg - p[97]) * DGTR).cos())
|
||||
+ work.apt[0]
|
||||
* swc[11]
|
||||
* swc[5]
|
||||
* (plg[1][1] * p[133] + plg[1][3] * p[134] + plg[1][5] * p[135])
|
||||
* cd14
|
||||
* ((input.longitude_deg - p[136]) * DGTR).cos()
|
||||
+ work.apt[0]
|
||||
* swc[12]
|
||||
* (plg[0][1] * p[55] + plg[0][3] * p[56] + plg[0][5] * p[57])
|
||||
* ((input.seconds_of_day - p[58]) * SR).cos();
|
||||
}
|
||||
}
|
||||
_ => {
|
||||
t[12] = work.apdf
|
||||
* swc[11]
|
||||
* (plg[0][1] * p[120] + 1.0)
|
||||
* ((plg[1][2] * p[60] + plg[1][4] * p[61] + plg[1][6] * p[62])
|
||||
* ((input.longitude_deg - p[63]) * DGTR).cos())
|
||||
+ work.apdf
|
||||
* swc[11]
|
||||
* swc[5]
|
||||
* (plg[1][1] * p[115] + plg[1][3] * p[116] + plg[1][5] * p[117])
|
||||
* cd14
|
||||
* ((input.longitude_deg - p[118]) * DGTR).cos()
|
||||
+ work.apdf
|
||||
* swc[12]
|
||||
* (plg[0][1] * p[83] + plg[0][3] * p[84] + plg[0][5] * p[85])
|
||||
* ((input.seconds_of_day - p[75]) * SR).cos();
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
// Coefficients 82, 89, 99 and 139 to 149 are not used.
|
||||
let mut tinf = T::lift(p[30]);
|
||||
for (index, term) in t.iter().enumerate() {
|
||||
let switch = if index == 8 { sw9 } else { sw[index + 1] };
|
||||
tinf = tinf + *term * switch.abs();
|
||||
}
|
||||
tinf
|
||||
}
|
||||
|
||||
/// The expansion for the lower atmosphere: `glob7s`.
|
||||
///
|
||||
/// Reads the state `globe7` left in `work` rather than recomputing it, which is why the
|
||||
/// model calls that first. `p` is a row of `PTL` or of `PMA`.
|
||||
pub(crate) fn glob7s<T: Scalar>(
|
||||
p: &[f64],
|
||||
input: &Input<T>,
|
||||
switches: &Resolved,
|
||||
work: &Work<T>,
|
||||
) -> T {
|
||||
let (sw, swc) = (&switches.sw, &switches.swc);
|
||||
let mut t = [T::lift(0.0); 14];
|
||||
let doy = f64::from(input.day_of_year);
|
||||
let plg = &work.plg;
|
||||
|
||||
// The reference checks that p[99] is its parameter-set marker of 2, writing it in if
|
||||
// the slot is zero. Every row of PTL and PMA already carries 2, so neither the write
|
||||
// nor the complaint can happen; `test_every_lower_atmosphere_table_is_parameter_set_2`
|
||||
// holds that down.
|
||||
debug_assert_eq!(p[99], 2.0, "glob7s called with the wrong parameter set");
|
||||
|
||||
let cd32 = (DR * (doy - p[31])).cos();
|
||||
let cd18 = (2.0 * DR * (doy - p[17])).cos();
|
||||
let cd14 = (DR * (doy - p[13])).cos();
|
||||
let cd39 = (2.0 * DR * (doy - p[38])).cos();
|
||||
|
||||
// F10.7.
|
||||
t[0] = work.dfa * p[21];
|
||||
|
||||
// Time independent.
|
||||
t[1] = plg[0][2] * p[1]
|
||||
+ plg[0][4] * p[2]
|
||||
+ plg[0][6] * p[22]
|
||||
+ plg[0][1] * p[26]
|
||||
+ plg[0][3] * p[14]
|
||||
+ plg[0][5] * p[59];
|
||||
|
||||
// Symmetrical annual.
|
||||
t[2] = (T::lift(p[18]) + plg[0][2] * p[47] + plg[0][4] * p[29]) * cd32;
|
||||
|
||||
// Symmetrical semiannual.
|
||||
t[3] = (T::lift(p[15]) + plg[0][2] * p[16] + plg[0][4] * p[30]) * cd18;
|
||||
|
||||
// Asymmetrical annual.
|
||||
t[4] = (plg[0][1] * p[9] + plg[0][3] * p[10] + plg[0][5] * p[20]) * cd14;
|
||||
|
||||
// Asymmetrical semiannual.
|
||||
t[5] = plg[0][1] * p[37] * cd39;
|
||||
|
||||
// Diurnal.
|
||||
if sw[7] != 0.0 {
|
||||
let t71 = plg[1][2] * p[11] * cd14 * swc[5];
|
||||
let t72 = plg[1][2] * p[12] * cd14 * swc[5];
|
||||
t[6] = (plg[1][1] * p[3] + plg[1][3] * p[4] + t71) * work.ctloc
|
||||
+ (plg[1][1] * p[6] + plg[1][3] * p[7] + t72) * work.stloc;
|
||||
}
|
||||
|
||||
// Semidiurnal.
|
||||
if sw[8] != 0.0 {
|
||||
let t81 = (plg[2][3] * p[23] + plg[2][5] * p[35]) * cd14 * swc[5];
|
||||
let t82 = (plg[2][3] * p[33] + plg[2][5] * p[36]) * cd14 * swc[5];
|
||||
t[7] = (plg[2][2] * p[5] + plg[2][4] * p[41] + t81) * work.c2tloc
|
||||
+ (plg[2][2] * p[8] + plg[2][4] * p[42] + t82) * work.s2tloc;
|
||||
}
|
||||
|
||||
// Terdiurnal.
|
||||
if sw[14] != 0.0 {
|
||||
t[13] = plg[3][3] * p[39] * work.s3tloc + plg[3][3] * p[40] * work.c3tloc;
|
||||
}
|
||||
|
||||
// Magnetic activity.
|
||||
let sw9 = input.magnetic.sw();
|
||||
if sw9 != 0.0 {
|
||||
if sw9 == 1.0 {
|
||||
t[8] = work.apdf * (plg[0][2] * p[45] * swc[2] + p[32]);
|
||||
}
|
||||
if sw9 == -1.0 {
|
||||
t[8] = work.apt[0] * p[50] + plg[0][2] * p[96] * work.apt[0] * swc[2];
|
||||
}
|
||||
}
|
||||
|
||||
// Longitudinal.
|
||||
if !(sw[10] == 0.0 || sw[11] == 0.0 || input.longitude_deg.re() <= -1000.0) {
|
||||
t[10] = (T::lift(1.0)
|
||||
+ plg[0][1]
|
||||
* (p[80] * swc[5] * (DR * (doy - p[81])).cos()
|
||||
+ p[85] * swc[6] * (2.0 * DR * (doy - p[86])).cos())
|
||||
+ p[83] * swc[3] * (DR * (doy - p[84])).cos()
|
||||
+ p[87] * swc[4] * (2.0 * DR * (doy - p[88])).cos())
|
||||
* ((plg[1][2] * p[64]
|
||||
+ plg[1][4] * p[65]
|
||||
+ plg[1][6] * p[66]
|
||||
+ plg[1][1] * p[74]
|
||||
+ plg[1][3] * p[75]
|
||||
+ plg[1][5] * p[76])
|
||||
* (input.longitude_deg * DGTR).cos()
|
||||
+ (plg[1][2] * p[90]
|
||||
+ plg[1][4] * p[91]
|
||||
+ plg[1][6] * p[92]
|
||||
+ plg[1][1] * p[77]
|
||||
+ plg[1][3] * p[78]
|
||||
+ plg[1][5] * p[79])
|
||||
* (input.longitude_deg * DGTR).sin());
|
||||
}
|
||||
|
||||
let mut tt = T::lift(0.0);
|
||||
for (index, term) in t.iter().enumerate() {
|
||||
let switch = if index == 8 { sw9 } else { sw[index + 1] };
|
||||
tt = tt + *term * switch.abs();
|
||||
}
|
||||
tt
|
||||
}
|
||||
|
||||
#[cfg(test)]
|
||||
mod tests {
|
||||
use super::*;
|
||||
use crate::switches::{Switch, Switches, Units};
|
||||
use crate::tables::{PD, PMA, PS, PT, PTL};
|
||||
use crate::testing::{assert_bits, helper_cases, number, numbers};
|
||||
use serde_json::Value;
|
||||
|
||||
/// The coefficient table a fixture case names.
|
||||
fn table(name: &str) -> &'static [f64] {
|
||||
let row = |name: &str, prefix: &str| -> Option<usize> {
|
||||
name.strip_prefix(prefix).map(|index| {
|
||||
index
|
||||
.parse()
|
||||
.unwrap_or_else(|_| panic!("{name} does not end in a row number"))
|
||||
})
|
||||
};
|
||||
match name {
|
||||
"pt" => &PT,
|
||||
"ps" => &PS,
|
||||
_ => {
|
||||
if let Some(index) = row(name, "pma") {
|
||||
&PMA[index]
|
||||
} else if let Some(index) = row(name, "ptl") {
|
||||
&PTL[index]
|
||||
} else if let Some(index) = row(name, "pd") {
|
||||
&PD[index]
|
||||
} else {
|
||||
panic!("unknown table {name}")
|
||||
}
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/// The switch settings a fixture case was generated with, as the model's own type.
|
||||
///
|
||||
/// The fixture records the reference's raw 24-element switch array, which is the form
|
||||
/// `tselec` consumes. Index 9 is read as the magnetic mode instead.
|
||||
fn switches_of(case: &Value) -> Switches {
|
||||
let raw = numbers(case, "switches_in");
|
||||
let at = |index: usize| match raw[index] as i32 {
|
||||
0 => Switch::Off,
|
||||
1 => Switch::On,
|
||||
2 => Switch::CrossTermsOnly,
|
||||
other => panic!("switch {index} is {other}"),
|
||||
};
|
||||
Switches {
|
||||
units: if raw[0] == 0.0 {
|
||||
Units::Native
|
||||
} else {
|
||||
Units::Si
|
||||
},
|
||||
f107_mean: at(1),
|
||||
time_independent: at(2),
|
||||
symmetrical_annual: at(3),
|
||||
symmetrical_semiannual: at(4),
|
||||
asymmetrical_annual: at(5),
|
||||
asymmetrical_semiannual: at(6),
|
||||
diurnal: at(7),
|
||||
semidiurnal: at(8),
|
||||
ut_and_longitude: at(10),
|
||||
longitudinal: at(11),
|
||||
ut_and_mixed_ut_longitude: at(12),
|
||||
mixed_ap_ut_longitude: at(13),
|
||||
terdiurnal: at(14),
|
||||
departures_from_diffusive_equilibrium: at(15),
|
||||
exospheric_temperature: at(16),
|
||||
boundary_temperature: at(17),
|
||||
lower_thermosphere_temperature: at(18),
|
||||
temperature_gradient: at(19),
|
||||
mesosphere_temperature: at(20),
|
||||
boundary_density: at(21),
|
||||
troposphere_temperature: at(22),
|
||||
turbopause_scale_height: at(23),
|
||||
}
|
||||
}
|
||||
|
||||
/// The magnetic activity a fixture case was generated with, from the raw switch 9.
|
||||
fn magnetic_of(case: &Value) -> MagneticActivity<f64> {
|
||||
let raw = numbers(case, "switches_in");
|
||||
match raw[9] as i32 {
|
||||
0 => MagneticActivity::Off {
|
||||
daily_ap: number(case, "ap_daily"),
|
||||
},
|
||||
1 => MagneticActivity::Daily {
|
||||
ap: number(case, "ap_daily"),
|
||||
},
|
||||
-1 => {
|
||||
let history = numbers(case, "ap_history");
|
||||
let mut ap = [0.0; 7];
|
||||
ap.copy_from_slice(&history);
|
||||
MagneticActivity::History { ap }
|
||||
}
|
||||
other => panic!("switch 9 is {other}"),
|
||||
}
|
||||
}
|
||||
|
||||
/// The magnetic mode alone, for `glob7s`, which reads the activity functions out of
|
||||
/// the shared state rather than the ap values themselves.
|
||||
fn magnetic_mode_of(case: &Value) -> MagneticActivity<f64> {
|
||||
match numbers(case, "switches_in")[9] as i32 {
|
||||
0 => MagneticActivity::Off { daily_ap: 0.0 },
|
||||
1 => MagneticActivity::Daily { ap: 0.0 },
|
||||
-1 => MagneticActivity::History { ap: [0.0; 7] },
|
||||
other => panic!("switch 9 is {other}"),
|
||||
}
|
||||
}
|
||||
|
||||
fn input_of(case: &Value) -> Input<f64> {
|
||||
Input {
|
||||
day_of_year: number(case, "day_of_year") as i32,
|
||||
seconds_of_day: number(case, "seconds_of_day"),
|
||||
altitude_km: 400.0,
|
||||
latitude_deg: number(case, "latitude_deg"),
|
||||
longitude_deg: number(case, "longitude_deg"),
|
||||
local_solar_time_h: number(case, "local_solar_time_h"),
|
||||
f107_average: number(case, "f107_average"),
|
||||
f107: number(case, "f107"),
|
||||
magnetic: magnetic_of(case),
|
||||
}
|
||||
}
|
||||
|
||||
/// The eleven coefficient tables `globe7` is called with, in the order the model calls
|
||||
/// them, which is the order the fixture was generated in.
|
||||
const GLOBE7_TABLES: [&str; 11] = [
|
||||
"pt", "ps", "pd0", "pd1", "pd2", "pd3", "pd4", "pd5", "pd6", "pd7", "pd8",
|
||||
];
|
||||
|
||||
#[test]
|
||||
fn test_globe7_matches_the_reference() {
|
||||
let cases = helper_cases("globe7");
|
||||
assert_eq!(cases.len(), 264);
|
||||
|
||||
// The fixture's cases come in runs of eleven that share one input and switch set,
|
||||
// and the reference evaluates those eleven against a single copy of the shared
|
||||
// state. That matters: `pd8` carries a zero in p[51], where the reference skips
|
||||
// recomputing the magnetic activity function and so reads the value the previous
|
||||
// table's call left behind. One `Work` per run reproduces that; one per case would
|
||||
// not, and the state assertions below are what noticed.
|
||||
// One `Work` for the whole fixture, because the reference's state is process-wide:
|
||||
// `apt[0]` is written only in the history mode and only for tables whose p[51] is
|
||||
// non-zero, so in the daily-ap switch sets it still holds a value left by an
|
||||
// earlier group. Nothing reads it there, but the fixture records it, and matching
|
||||
// it is free evidence that the state threading is right.
|
||||
let mut work = Work::new();
|
||||
for run in cases.chunks(GLOBE7_TABLES.len()) {
|
||||
for (case, name) in run.iter().zip(GLOBE7_TABLES) {
|
||||
assert_eq!(case["table"], name, "fixture is out of the expected order");
|
||||
let input = input_of(case);
|
||||
let switches = switches_of(case).resolve();
|
||||
let got = globe7(table(name), &input, &switches, &mut work);
|
||||
|
||||
let at = format!(
|
||||
"globe7({name}) switch set {} case {}",
|
||||
case["switch_set"], case["case"]
|
||||
);
|
||||
assert_bits(got, number(case, "value"), &at);
|
||||
|
||||
// The state it leaves for glob7s, and for the next table.
|
||||
for row in 0..4 {
|
||||
let want = numbers(case, &format!("plg{row}"));
|
||||
for (column, want) in want.iter().enumerate() {
|
||||
assert_bits(
|
||||
work.plg[row][column],
|
||||
*want,
|
||||
&format!("{at}: plg[{row}][{column}]"),
|
||||
);
|
||||
}
|
||||
}
|
||||
for (got, field) in [
|
||||
(work.stloc, "stloc"),
|
||||
(work.ctloc, "ctloc"),
|
||||
(work.s2tloc, "s2tloc"),
|
||||
(work.c2tloc, "c2tloc"),
|
||||
(work.s3tloc, "s3tloc"),
|
||||
(work.c3tloc, "c3tloc"),
|
||||
(work.dfa, "dfa"),
|
||||
(work.apdf, "apdf"),
|
||||
] {
|
||||
assert_bits(got, number(case, field), &format!("{at}: {field}"));
|
||||
}
|
||||
assert_bits(
|
||||
work.apt[0],
|
||||
numbers(case, "apt")[0],
|
||||
&format!("{at}: apt[0]"),
|
||||
);
|
||||
}
|
||||
// The driver calls globe7 once more with PT before its glob7s batch, so the
|
||||
// state the next group starts from is the one a model run would leave.
|
||||
let case = &run[0];
|
||||
globe7(
|
||||
&PT,
|
||||
&input_of(case),
|
||||
&switches_of(case).resolve(),
|
||||
&mut work,
|
||||
);
|
||||
}
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_glob7s_matches_the_reference() {
|
||||
let cases = helper_cases("glob7s");
|
||||
assert_eq!(cases.len(), 336);
|
||||
for case in cases {
|
||||
// glob7s reads the state globe7 left; the fixture records it.
|
||||
let mut work = Work::<f64>::new();
|
||||
for row in 0..4 {
|
||||
let values = numbers(&case, &format!("plg{row}"));
|
||||
work.plg[row].copy_from_slice(&values);
|
||||
}
|
||||
work.stloc = number(&case, "stloc");
|
||||
work.ctloc = number(&case, "ctloc");
|
||||
work.s2tloc = number(&case, "s2tloc");
|
||||
work.c2tloc = number(&case, "c2tloc");
|
||||
work.s3tloc = number(&case, "s3tloc");
|
||||
work.c3tloc = number(&case, "c3tloc");
|
||||
work.dfa = number(&case, "dfa");
|
||||
work.apdf = number(&case, "apdf");
|
||||
work.apt.copy_from_slice(&numbers(&case, "apt"));
|
||||
|
||||
let input = Input {
|
||||
day_of_year: number(&case, "day_of_year") as i32,
|
||||
seconds_of_day: 0.0,
|
||||
altitude_km: 400.0,
|
||||
latitude_deg: 0.0,
|
||||
longitude_deg: number(&case, "longitude_deg"),
|
||||
local_solar_time_h: 0.0,
|
||||
f107_average: 0.0,
|
||||
f107: 0.0,
|
||||
magnetic: magnetic_mode_of(&case),
|
||||
};
|
||||
let switches = switches_of(&case).resolve();
|
||||
let name = case["table"].as_str().expect("a table name");
|
||||
let got = glob7s(table(name), &input, &switches, &work);
|
||||
assert_bits(
|
||||
got,
|
||||
number(&case, "value"),
|
||||
&format!(
|
||||
"glob7s({name}) switch set {} case {}",
|
||||
case["switch_set"], case["case"]
|
||||
),
|
||||
);
|
||||
}
|
||||
}
|
||||
|
||||
/// The reference clamps `p[24]` up to 1e-4 inside `globe7`, writing into the
|
||||
/// coefficient table it was handed. No table it is called with holds a value that
|
||||
/// small, so the clamp never fires and the tables here can stay immutable. If a
|
||||
/// regenerated table ever broke that, this is what would say so.
|
||||
#[test]
|
||||
fn test_the_p24_clamp_cannot_fire() {
|
||||
let mut least = f64::INFINITY;
|
||||
for table in [&PT[..], &PS[..]]
|
||||
.into_iter()
|
||||
.chain(PD.iter().map(|r| &r[..]))
|
||||
{
|
||||
least = least.min(table[24]);
|
||||
}
|
||||
assert!(least >= 1.0e-4, "least p[24] is {least}");
|
||||
}
|
||||
|
||||
/// Every table `glob7s` is called with already carries its parameter-set marker, so
|
||||
/// the reference's check cannot fail and its write-back cannot happen.
|
||||
#[test]
|
||||
fn test_every_lower_atmosphere_table_is_parameter_set_2() {
|
||||
for (index, table) in PTL.iter().enumerate() {
|
||||
assert_eq!(table[99], 2.0, "ptl[{index}]");
|
||||
}
|
||||
for (index, table) in PMA.iter().enumerate() {
|
||||
assert_eq!(table[99], 2.0, "pma[{index}]");
|
||||
}
|
||||
}
|
||||
}
|
||||
+425
@@ -0,0 +1,425 @@
|
||||
//! The small pieces the profiles are built from.
|
||||
//!
|
||||
//! Each is a direct translation of the like-named function in the reference, and each is
|
||||
//! individually checkable, which the large ones are not.
|
||||
//!
|
||||
//! # Why the expressions look the way they do
|
||||
//!
|
||||
//! Floating-point addition and multiplication are not associative, so matching the
|
||||
//! reference to the last bit means performing its operations in its order. Two habits
|
||||
//! follow from that, and both are deliberate wherever they look awkward:
|
||||
//!
|
||||
//! - A constant that the reference writes on the *left* of an operator stays there, as
|
||||
//! `T::lift(3.0) / dx` rather than `dx.recip() * 3.0`. Commuting a product or reordering
|
||||
//! a sum is exact and is done freely; re-associating one is not and is not done.
|
||||
//! - `pow(x, 2.0)` is translated as `powf(2.0)` and not as `x * x`. The two agree to within
|
||||
//! a rounding of the last bit and almost certainly agree exactly, but "almost certainly"
|
||||
//! is not what the fixture checks, and this is the faithful pass. Replacing it is a
|
||||
//! measured change for later.
|
||||
|
||||
use crate::scalar::Scalar;
|
||||
use crate::work::Work;
|
||||
|
||||
/// The gas constant the model uses.
|
||||
pub(crate) const RGAS: f64 = 831.4;
|
||||
|
||||
/// Degrees to radians, to the digits the reference carries.
|
||||
///
|
||||
/// It is not `PI / 180.0`, which differs in the sixth digit. Using a rounder value moves
|
||||
/// every answer the model gives, so this is the reference's own constant.
|
||||
pub(crate) const DGTR: f64 = 1.74533e-2;
|
||||
|
||||
/// Radians per day of year, for the annual terms.
|
||||
pub(crate) const DR: f64 = 1.72142e-2;
|
||||
|
||||
/// Radians per second of universal time, for the UT terms.
|
||||
pub(crate) const SR: f64 = 7.2722e-5;
|
||||
|
||||
/// Radians per hour of local solar time, for the diurnal terms.
|
||||
pub(crate) const HR: f64 = 0.2618;
|
||||
|
||||
/// The most spline nodes any caller asks for.
|
||||
pub(crate) const MAX_NODES: usize = 5;
|
||||
|
||||
/// Gravity and the effective Earth radius at a latitude.
|
||||
///
|
||||
/// `glatf`: gravity in cm/s^2, and a radius in km chosen so that the geopotential height
|
||||
/// of [`zeta`] is right.
|
||||
pub(crate) fn glatf<T: Scalar>(lat: T) -> (T, T) {
|
||||
let c2 = (lat * (2.0 * DGTR)).cos();
|
||||
let gv = (c2 * -0.0026373 + 1.0) * 980.616;
|
||||
let reff = (gv * 2.0) / (c2 * 2.27e-9 + 3.085462e-6) * 1.0e-5;
|
||||
(gv, reff)
|
||||
}
|
||||
|
||||
/// Geopotential height of `zz` above `zl`, in km.
|
||||
///
|
||||
/// `zeta`. The model's vertical coordinate: an altitude difference scaled so that a
|
||||
/// hydrostatic profile computed with constant gravity is right in a field that falls off.
|
||||
#[inline]
|
||||
pub(crate) fn zeta<T: Scalar>(work: &Work<T>, zz: T, zl: T) -> T {
|
||||
(zz - zl) * (work.re + zl) / (work.re + zz)
|
||||
}
|
||||
|
||||
/// Chemistry and dissociation correction.
|
||||
///
|
||||
/// `ccor`, a multiplicative factor on a species' density. `r` is the target ratio, `h1` the
|
||||
/// transition scale length and `zh` the altitude at which half of `r` has been applied.
|
||||
pub(crate) fn ccor<T: Scalar>(alt: T, r: T, h1: f64, zh: f64) -> T {
|
||||
let e = (alt - zh) / h1;
|
||||
// The reference returns exp(0) and exp(r) at the ends rather than clamping the
|
||||
// exponent, so the factor goes to 1 above the transition and to exp(r) below it. Both
|
||||
// ends are constant in the altitude, and so have no derivative.
|
||||
if e.re() > 70.0 {
|
||||
return T::lift(1.0);
|
||||
}
|
||||
if e.re() < -70.0 {
|
||||
return r.exp();
|
||||
}
|
||||
(r / (e.exp() + 1.0)).exp()
|
||||
}
|
||||
|
||||
/// Chemistry and dissociation correction with two transition scale lengths.
|
||||
///
|
||||
/// `ccor2`. As [`ccor`], but the transition is the mean of two of different widths.
|
||||
pub(crate) fn ccor2<T: Scalar>(alt: T, r: T, h1: f64, zh: f64, h2: f64) -> T {
|
||||
let e1 = (alt - zh) / h1;
|
||||
let e2 = (alt - zh) / h2;
|
||||
if e1.re() > 70.0 || e2.re() > 70.0 {
|
||||
return T::lift(1.0);
|
||||
}
|
||||
if e1.re() < -70.0 && e2.re() < -70.0 {
|
||||
return r.exp();
|
||||
}
|
||||
(r / ((e1.exp() + e2.exp()) * 0.5 + 1.0)).exp()
|
||||
}
|
||||
|
||||
/// The scale height of a species of mass `xm` at a temperature, in km.
|
||||
///
|
||||
/// `scalh`.
|
||||
pub(crate) fn scalh<T: Scalar>(work: &Work<T>, alt: f64, xm: f64, temp: T) -> T {
|
||||
let g = work.gsurf / (T::lift(alt) / work.re + 1.0).powf(2.0);
|
||||
temp * RGAS / (g * xm)
|
||||
}
|
||||
|
||||
/// The turbopause correction: a root-mean blend of a diffusive and a mixed density.
|
||||
///
|
||||
/// `dnet`. `zhm` is the transition scale length, `xmm` the fully mixed molecular weight and
|
||||
/// `xm` the species weight.
|
||||
pub(crate) fn dnet<T: Scalar>(dd: T, dm: T, zhm: f64, xmm: f64, xm: f64) -> T {
|
||||
let a = zhm / (xmm - xm);
|
||||
if !(dm.re() > 0.0 && dd.re() > 0.0) {
|
||||
// The reference prints a message here and carries on with whichever of the two it
|
||||
// can use. Reaching it means a density came out non-positive, which the blend has
|
||||
// no logarithm for; it happens when a switch has turned off a term the blend needs.
|
||||
if dd.re() == 0.0 && dm.re() == 0.0 {
|
||||
return T::lift(1.0);
|
||||
}
|
||||
if dm.re() == 0.0 {
|
||||
return dd;
|
||||
}
|
||||
if dd.re() == 0.0 {
|
||||
return dm;
|
||||
}
|
||||
}
|
||||
let ylog = (dm / dd).ln() * a;
|
||||
if ylog.re() < -10.0 {
|
||||
return dd;
|
||||
}
|
||||
if ylog.re() > 10.0 {
|
||||
return dm;
|
||||
}
|
||||
dd * (ylog.exp() + 1.0).powf(1.0 / a)
|
||||
}
|
||||
|
||||
/// The second derivatives of a cubic spline through `(x, y)`.
|
||||
///
|
||||
/// `spline`, which is Numerical Recipes' routine of that name. `yp1` and `ypn` are the
|
||||
/// first derivatives imposed at the ends; a value at or above 1e30 would ask for a zero
|
||||
/// second derivative there instead, which this model never does.
|
||||
pub(crate) fn spline<T: Scalar>(x: &[T], y: &[T], yp1: T, ypn: T, y2: &mut [T]) {
|
||||
let n = x.len();
|
||||
// The reference heap-allocates this per call. Five nodes is the most any caller wants.
|
||||
let mut u = [T::lift(0.0); MAX_NODES];
|
||||
|
||||
if yp1.re() > 0.99e30 {
|
||||
y2[0] = T::lift(0.0);
|
||||
u[0] = T::lift(0.0);
|
||||
} else {
|
||||
y2[0] = T::lift(-0.5);
|
||||
u[0] = (T::lift(3.0) / (x[1] - x[0])) * ((y[1] - y[0]) / (x[1] - x[0]) - yp1);
|
||||
}
|
||||
for i in 1..n - 1 {
|
||||
let sig = (x[i] - x[i - 1]) / (x[i + 1] - x[i - 1]);
|
||||
let p = sig * y2[i - 1] + 2.0;
|
||||
y2[i] = (sig - 1.0) / p;
|
||||
u[i] = (((y[i + 1] - y[i]) / (x[i + 1] - x[i]) - (y[i] - y[i - 1]) / (x[i] - x[i - 1]))
|
||||
* 6.0
|
||||
/ (x[i + 1] - x[i - 1])
|
||||
- sig * u[i - 1])
|
||||
/ p;
|
||||
}
|
||||
let (qn, un) = if ypn.re() > 0.99e30 {
|
||||
(T::lift(0.0), T::lift(0.0))
|
||||
} else {
|
||||
(
|
||||
T::lift(0.5),
|
||||
(T::lift(3.0) / (x[n - 1] - x[n - 2]))
|
||||
* (ypn - (y[n - 1] - y[n - 2]) / (x[n - 1] - x[n - 2])),
|
||||
)
|
||||
};
|
||||
y2[n - 1] = (un - qn * u[n - 2]) / (qn * y2[n - 2] + 1.0);
|
||||
for k in (0..n - 1).rev() {
|
||||
y2[k] = y2[k] * y2[k + 1] + u[k];
|
||||
}
|
||||
}
|
||||
|
||||
/// A cubic spline evaluated at `x`.
|
||||
///
|
||||
/// `splint`. `y2a` is what [`spline`] produced for the same nodes.
|
||||
pub(crate) fn splint<T: Scalar>(xa: &[T], ya: &[T], y2a: &[T], x: T) -> T {
|
||||
let mut klo = 0usize;
|
||||
let mut khi = xa.len() - 1;
|
||||
while khi - klo > 1 {
|
||||
let k = (khi + klo) / 2;
|
||||
if xa[k].re() > x.re() {
|
||||
khi = k;
|
||||
} else {
|
||||
klo = k;
|
||||
}
|
||||
}
|
||||
let h = xa[khi] - xa[klo];
|
||||
let a = (xa[khi] - x) / h;
|
||||
let b = (x - xa[klo]) / h;
|
||||
a * ya[klo]
|
||||
+ b * ya[khi]
|
||||
+ ((a * a * a - a) * y2a[klo] + (b * b * b - b) * y2a[khi]) * h * h / 6.0
|
||||
}
|
||||
|
||||
/// A cubic spline integrated from `xa[0]` to `x`.
|
||||
///
|
||||
/// `splini`. The integral of the interpolant, which is what turns a profile of inverse
|
||||
/// temperature into a density ratio.
|
||||
pub(crate) fn splini<T: Scalar>(xa: &[T], ya: &[T], y2a: &[T], x: T) -> T {
|
||||
let n = xa.len();
|
||||
let mut yi = T::lift(0.0);
|
||||
let mut klo = 0usize;
|
||||
let mut khi = 1usize;
|
||||
while x.re() > xa[klo].re() && khi < n {
|
||||
// Every interval below the last is integrated whole; the one holding x is
|
||||
// integrated up to x.
|
||||
//
|
||||
// The reference's test is `x < xa[khi]`, which takes the node when the two are
|
||||
// equal. That is the same number, so the value is unchanged, but at a dual type it
|
||||
// is the difference between carrying dx and dropping it: substituting the node
|
||||
// replaces x by a constant and the integral comes out with no derivative at all.
|
||||
// Sampling exactly on a node is not a corner case here — the mesosphere's nodes
|
||||
// are at 0, 10, 15, 20 and 32.5 km, which are round numbers a caller will ask for.
|
||||
let mut xx = x;
|
||||
if khi < n - 1 && x.re() > xa[khi].re() {
|
||||
xx = xa[khi];
|
||||
}
|
||||
let h = xa[khi] - xa[klo];
|
||||
let a = (xa[khi] - xx) / h;
|
||||
let b = (xx - xa[klo]) / h;
|
||||
let a2 = a * a;
|
||||
let b2 = b * b;
|
||||
yi = yi
|
||||
+ ((T::lift(1.0) - a2) * ya[klo] / 2.0
|
||||
+ b2 * ya[khi] / 2.0
|
||||
+ ((-(a2 * a2 + 1.0) / 4.0 + a2 / 2.0) * y2a[klo]
|
||||
+ (b2 * b2 / 4.0 - b2 / 2.0) * y2a[khi])
|
||||
* h
|
||||
* h
|
||||
/ 6.0)
|
||||
* h;
|
||||
klo += 1;
|
||||
khi += 1;
|
||||
}
|
||||
yi
|
||||
}
|
||||
|
||||
#[cfg(test)]
|
||||
mod tests {
|
||||
use super::*;
|
||||
use crate::testing::{assert_bits, helper_cases, number, numbers};
|
||||
|
||||
/// A `Work` with only gravity and the Earth radius set, which is all the helpers read.
|
||||
fn work_at(gsurf: f64, re: f64) -> Work<f64> {
|
||||
let mut work = Work::new();
|
||||
work.gsurf = gsurf;
|
||||
work.re = re;
|
||||
work
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_glatf_matches_the_reference() {
|
||||
for case in helper_cases("glatf") {
|
||||
let (gravity, radius) = glatf(number(&case, "lat"));
|
||||
let lat = number(&case, "lat");
|
||||
assert_bits(
|
||||
gravity,
|
||||
number(&case, "gravity"),
|
||||
&format!("gravity at {lat}"),
|
||||
);
|
||||
assert_bits(radius, number(&case, "radius"), &format!("radius at {lat}"));
|
||||
}
|
||||
}
|
||||
|
||||
/// Gravity is least at the equator and most at the poles, by the 0.53% the model's own
|
||||
/// coefficient puts there.
|
||||
#[test]
|
||||
fn test_gravity_varies_with_latitude_as_the_coefficient_says() {
|
||||
let (equator, _) = glatf(0.0);
|
||||
let (pole, _) = glatf(90.0);
|
||||
assert!(pole > equator);
|
||||
let fraction = (pole - equator) / equator;
|
||||
// 1 - 0.0026373 * cos(0) against 1 - 0.0026373 * cos(pi), so twice the coefficient.
|
||||
assert!((fraction - 2.0 * 0.0026373 / (1.0 - 0.0026373)).abs() < 1e-6);
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_zeta_matches_the_reference() {
|
||||
for case in helper_cases("zeta") {
|
||||
let work = work_at(number(&case, "gsurf"), number(&case, "re"));
|
||||
let got = zeta(&work, number(&case, "zz"), number(&case, "zl"));
|
||||
assert_bits(got, number(&case, "value"), "zeta");
|
||||
}
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_scalh_matches_the_reference() {
|
||||
for case in helper_cases("scalh") {
|
||||
let work = work_at(number(&case, "gsurf"), number(&case, "re"));
|
||||
let got = scalh(
|
||||
&work,
|
||||
number(&case, "alt"),
|
||||
number(&case, "xm"),
|
||||
number(&case, "temp"),
|
||||
);
|
||||
assert_bits(got, number(&case, "value"), "scalh");
|
||||
}
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_ccor_matches_the_reference() {
|
||||
for case in helper_cases("ccor") {
|
||||
let got = ccor(
|
||||
number(&case, "alt"),
|
||||
number(&case, "r"),
|
||||
number(&case, "h1"),
|
||||
number(&case, "zh"),
|
||||
);
|
||||
assert_bits(got, number(&case, "value"), "ccor");
|
||||
}
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_ccor2_matches_the_reference() {
|
||||
for case in helper_cases("ccor2") {
|
||||
let got = ccor2(
|
||||
number(&case, "alt"),
|
||||
number(&case, "r"),
|
||||
number(&case, "h1"),
|
||||
number(&case, "zh"),
|
||||
number(&case, "h2"),
|
||||
);
|
||||
assert_bits(got, number(&case, "value"), "ccor2");
|
||||
}
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_dnet_matches_the_reference() {
|
||||
for case in helper_cases("dnet") {
|
||||
let got = dnet(
|
||||
number(&case, "dd"),
|
||||
number(&case, "dm"),
|
||||
number(&case, "zhm"),
|
||||
number(&case, "xmm"),
|
||||
number(&case, "xm"),
|
||||
);
|
||||
assert_bits(got, number(&case, "value"), "dnet");
|
||||
}
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_spline_matches_the_reference() {
|
||||
for case in helper_cases("spline") {
|
||||
let xs = numbers(&case, "xs");
|
||||
let ys = numbers(&case, "ys");
|
||||
let want = numbers(&case, "y2");
|
||||
let mut y2 = vec![0.0; xs.len()];
|
||||
spline(
|
||||
&xs,
|
||||
&ys,
|
||||
number(&case, "yd1"),
|
||||
number(&case, "yd2"),
|
||||
&mut y2,
|
||||
);
|
||||
for (index, (got, want)) in y2.iter().zip(&want).enumerate() {
|
||||
assert_bits(*got, *want, &format!("y2[{index}] of {} nodes", xs.len()));
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_splint_matches_the_reference() {
|
||||
for case in helper_cases("splint") {
|
||||
let got = splint(
|
||||
&numbers(&case, "xs"),
|
||||
&numbers(&case, "ys"),
|
||||
&numbers(&case, "y2"),
|
||||
number(&case, "x"),
|
||||
);
|
||||
assert_bits(got, number(&case, "value"), "splint");
|
||||
}
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_splini_matches_the_reference() {
|
||||
for case in helper_cases("splini") {
|
||||
let got = splini(
|
||||
&numbers(&case, "xs"),
|
||||
&numbers(&case, "ys"),
|
||||
&numbers(&case, "y2"),
|
||||
number(&case, "x"),
|
||||
);
|
||||
assert_bits(got, number(&case, "value"), "splini");
|
||||
}
|
||||
}
|
||||
|
||||
/// The spline reproduces its nodes, which is the property the fixture cannot show on
|
||||
/// its own: a wrong but self-consistent pair of routines would agree with itself.
|
||||
#[test]
|
||||
fn test_the_spline_passes_through_its_nodes() {
|
||||
let xs: Vec<f64> = (0..5).map(|k| f64::from(k) / 4.0).collect();
|
||||
let ys: Vec<f64> = (0..5)
|
||||
.map(|k| 1.0 / (200.0 + 15.0 * f64::from(k)))
|
||||
.collect();
|
||||
let mut y2 = vec![0.0; 5];
|
||||
spline(&xs, &ys, -1.5e-5, 3.0e-6, &mut y2);
|
||||
for (x, y) in xs.iter().zip(&ys) {
|
||||
let got = splint(&xs, &ys, &y2, *x);
|
||||
assert!((got - y).abs() < 1e-15 * y, "at {x}: {got} against {y}");
|
||||
}
|
||||
}
|
||||
|
||||
/// The integral of the spline from the first node to itself is zero, and it grows
|
||||
/// monotonically from there because the ordinates are inverse temperatures.
|
||||
#[test]
|
||||
fn test_the_spline_integral_starts_at_zero_and_grows() {
|
||||
let xs: Vec<f64> = (0..5).map(|k| f64::from(k) / 4.0).collect();
|
||||
let ys: Vec<f64> = (0..5)
|
||||
.map(|k| 1.0 / (200.0 + 15.0 * f64::from(k)))
|
||||
.collect();
|
||||
let mut y2 = vec![0.0; 5];
|
||||
spline(&xs, &ys, -1.5e-5, 3.0e-6, &mut y2);
|
||||
assert_eq!(splini(&xs, &ys, &y2, 0.0), 0.0);
|
||||
let mut last = 0.0;
|
||||
for step in 1..=20 {
|
||||
let integral = splini(&xs, &ys, &y2, f64::from(step) / 20.0);
|
||||
assert!(integral > last, "integral fell at step {step}");
|
||||
last = integral;
|
||||
}
|
||||
}
|
||||
}
|
||||
+212
@@ -0,0 +1,212 @@
|
||||
//! What the model is asked about, and what it answers with.
|
||||
|
||||
use crate::scalar::Scalar;
|
||||
|
||||
/// The geomagnetic activity the model reads, and which of its two modes that selects.
|
||||
///
|
||||
/// The reference carries a daily value and a seven-element history side by side and picks
|
||||
/// between them with switch 9, which means the switch and the data can disagree. Here the
|
||||
/// data is the mode.
|
||||
///
|
||||
/// [`MagneticActivity::History`] is what a real propagation uses: a storm's effect on
|
||||
/// density lags it by hours, which a single daily mean cannot express. The reference's
|
||||
/// published cases 15 and 16 are the two that exercise it.
|
||||
#[derive(Clone, Copy, Debug, PartialEq)]
|
||||
pub enum MagneticActivity<T> {
|
||||
/// The daily-ap term left out, which is the reference's switch 9 set to zero.
|
||||
///
|
||||
/// The daily value is still carried because the reference still reads it for the mixed
|
||||
/// magnetic, universal time and longitude term, which switch 13 governs separately.
|
||||
Off {
|
||||
/// The daily mean ap.
|
||||
daily_ap: T,
|
||||
},
|
||||
/// The daily mean ap alone, which is the reference's switch 9 set to one.
|
||||
Daily {
|
||||
/// The daily mean ap.
|
||||
ap: T,
|
||||
},
|
||||
/// The seven-element history, which is the reference's switch 9 set to -1.
|
||||
History {
|
||||
/// In the order the model wants them:
|
||||
///
|
||||
/// 0. the daily mean ap
|
||||
/// 1. the three-hour ap for the interval the epoch falls in
|
||||
/// 2. three hours before that
|
||||
/// 3. six hours before
|
||||
/// 4. nine hours before
|
||||
/// 5. the mean of the eight intervals from 12 to 33 hours before
|
||||
/// 6. the mean of the eight intervals from 36 to 57 hours before
|
||||
ap: [T; 7],
|
||||
},
|
||||
}
|
||||
|
||||
impl<T: Scalar> MagneticActivity<T> {
|
||||
/// The daily mean, which every variant carries.
|
||||
pub(crate) fn daily(&self) -> T {
|
||||
match self {
|
||||
Self::Off { daily_ap } => *daily_ap,
|
||||
Self::Daily { ap } => *ap,
|
||||
Self::History { ap } => ap[0],
|
||||
}
|
||||
}
|
||||
|
||||
/// The reference's `sw[9]`: 0 off, 1 daily, -1 history.
|
||||
pub(crate) fn sw(&self) -> f64 {
|
||||
match self {
|
||||
Self::Off { .. } => 0.0,
|
||||
Self::Daily { .. } => 1.0,
|
||||
Self::History { .. } => -1.0,
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/// Where and when the model is being asked about.
|
||||
///
|
||||
/// Altitude is geodetic and in km, latitude and longitude are geodetic and in degrees, and
|
||||
/// the time of day is in seconds of universal time. These are the reference's own units at
|
||||
/// the input; only the output is converted.
|
||||
///
|
||||
/// # Local solar time
|
||||
///
|
||||
/// Universal time, longitude and local solar time enter the model independently, and it
|
||||
/// does not check that they agree. They should: `local_solar_time_h = seconds_of_day/3600 +
|
||||
/// longitude_deg/15`. [`Input::consistent`] works it out so it cannot be forgotten. The
|
||||
/// field is left public because the reference's published cases deliberately break the
|
||||
/// relation, and reproducing them is the point of the fixtures.
|
||||
#[derive(Clone, Copy, Debug, PartialEq)]
|
||||
pub struct Input<T> {
|
||||
/// Day of the year, 1 to 366.
|
||||
///
|
||||
/// An integer, as in the reference, so it carries no derivative. Nothing in the model
|
||||
/// differentiates with respect to the day.
|
||||
pub day_of_year: i32,
|
||||
/// Seconds of the day, universal time.
|
||||
pub seconds_of_day: T,
|
||||
/// Geodetic altitude, km.
|
||||
pub altitude_km: T,
|
||||
/// Geodetic latitude, degrees.
|
||||
pub latitude_deg: T,
|
||||
/// Geodetic longitude, degrees east.
|
||||
pub longitude_deg: T,
|
||||
/// Local apparent solar time, hours. See the note on [`Input`].
|
||||
pub local_solar_time_h: T,
|
||||
/// The 81-day average of the F10.7 solar flux, centered on the day.
|
||||
///
|
||||
/// At the flux's value at the Earth's actual distance from the Sun, not at 1 AU.
|
||||
pub f107_average: T,
|
||||
/// The daily F10.7 solar flux of the *previous* day.
|
||||
pub f107: T,
|
||||
/// The geomagnetic activity, and which mode it selects.
|
||||
pub magnetic: MagneticActivity<T>,
|
||||
}
|
||||
|
||||
impl<T: Scalar> Input<T> {
|
||||
/// An input whose local solar time agrees with its universal time and longitude.
|
||||
///
|
||||
/// `local_solar_time_h = seconds_of_day/3600 + longitude_deg/15`, which is what the
|
||||
/// model's own documentation asks for.
|
||||
#[allow(clippy::too_many_arguments)]
|
||||
pub fn consistent(
|
||||
day_of_year: i32,
|
||||
seconds_of_day: T,
|
||||
altitude_km: T,
|
||||
latitude_deg: T,
|
||||
longitude_deg: T,
|
||||
f107_average: T,
|
||||
f107: T,
|
||||
magnetic: MagneticActivity<T>,
|
||||
) -> Self {
|
||||
Self {
|
||||
day_of_year,
|
||||
seconds_of_day,
|
||||
altitude_km,
|
||||
latitude_deg,
|
||||
longitude_deg,
|
||||
local_solar_time_h: seconds_of_day / 3600.0 + longitude_deg / 15.0,
|
||||
f107_average,
|
||||
f107,
|
||||
magnetic,
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/// What the model answers: eight species, a total, and two temperatures.
|
||||
///
|
||||
/// The number densities are in m^-3 and the mass density in kg/m^3 under
|
||||
/// [`crate::Units::Si`], or cm^-3 and g/cm^3 under [`crate::Units::Native`].
|
||||
///
|
||||
/// Atomic oxygen, hydrogen and nitrogen are zero below 72.5 km, where the model does not
|
||||
/// carry them.
|
||||
#[derive(Clone, Copy, Debug, PartialEq)]
|
||||
pub struct Output<T> {
|
||||
/// Helium number density.
|
||||
pub helium: T,
|
||||
/// Atomic oxygen number density.
|
||||
pub atomic_oxygen: T,
|
||||
/// Molecular nitrogen number density.
|
||||
pub molecular_nitrogen: T,
|
||||
/// Molecular oxygen number density.
|
||||
pub molecular_oxygen: T,
|
||||
/// Argon number density.
|
||||
pub argon: T,
|
||||
/// Total mass density.
|
||||
///
|
||||
/// Which species this sums over is the difference between [`crate::Model::gtd7`] and
|
||||
/// [`crate::Model::gtd7d`], and it is the one number a drag calculation wants. See
|
||||
/// those two.
|
||||
pub total_mass: T,
|
||||
/// Atomic hydrogen number density.
|
||||
pub hydrogen: T,
|
||||
/// Atomic nitrogen number density.
|
||||
pub atomic_nitrogen: T,
|
||||
/// Anomalous oxygen number density.
|
||||
///
|
||||
/// Hot atomic oxygen, which matters for drag above about 500 km and is the species
|
||||
/// `gtd7` leaves out of the total while `gtd7d` includes it.
|
||||
pub anomalous_oxygen: T,
|
||||
/// Exospheric temperature, K.
|
||||
///
|
||||
/// Set to the global average below 120 km, where the model does not vary it.
|
||||
pub exospheric_temperature: T,
|
||||
/// Temperature at the altitude asked for, K.
|
||||
pub temperature: T,
|
||||
}
|
||||
|
||||
impl<T: Scalar> Output<T> {
|
||||
/// All zero.
|
||||
pub(crate) fn zeroed() -> Self {
|
||||
let zero = T::lift(0.0);
|
||||
Self {
|
||||
helium: zero,
|
||||
atomic_oxygen: zero,
|
||||
molecular_nitrogen: zero,
|
||||
molecular_oxygen: zero,
|
||||
argon: zero,
|
||||
total_mass: zero,
|
||||
hydrogen: zero,
|
||||
atomic_nitrogen: zero,
|
||||
anomalous_oxygen: zero,
|
||||
exospheric_temperature: zero,
|
||||
temperature: zero,
|
||||
}
|
||||
}
|
||||
|
||||
/// The nine densities in the order the reference's `d` array holds them.
|
||||
///
|
||||
/// He, O, N2, O2, Ar, total mass, H, N, anomalous O. The order the published test
|
||||
/// cases are quoted in, which is why it is worth having.
|
||||
pub fn densities(&self) -> [T; 9] {
|
||||
[
|
||||
self.helium,
|
||||
self.atomic_oxygen,
|
||||
self.molecular_nitrogen,
|
||||
self.molecular_oxygen,
|
||||
self.argon,
|
||||
self.total_mass,
|
||||
self.hydrogen,
|
||||
self.atomic_nitrogen,
|
||||
self.anomalous_oxygen,
|
||||
]
|
||||
}
|
||||
}
|
||||
+20
@@ -0,0 +1,20 @@
|
||||
#![doc = include_str!("../readme.md")]
|
||||
#![warn(missing_docs)]
|
||||
|
||||
pub mod scalar;
|
||||
|
||||
mod expansion;
|
||||
mod helpers;
|
||||
mod input;
|
||||
mod model;
|
||||
mod profile;
|
||||
mod switches;
|
||||
mod tables;
|
||||
#[cfg(test)]
|
||||
mod testing;
|
||||
mod work;
|
||||
|
||||
pub use input::{Input, MagneticActivity, Output};
|
||||
pub use model::Model;
|
||||
pub use scalar::Scalar;
|
||||
pub use switches::{Switch, Switches, Units};
|
||||
+677
@@ -0,0 +1,677 @@
|
||||
//! The model itself: `gts7` for the thermosphere, and `gtd7` and `gtd7d` over the whole
|
||||
//! range.
|
||||
|
||||
use crate::expansion::{glob7s, globe7};
|
||||
use crate::helpers::{ccor, ccor2, dnet, glatf, scalh, DGTR, DR, MAX_NODES};
|
||||
use crate::input::{Input, Output};
|
||||
use crate::profile::{densm, densu};
|
||||
use crate::scalar::Scalar;
|
||||
use crate::switches::{Resolved, Switches, Units};
|
||||
use crate::tables::{PAVGM, PD, PDL, PDM, PMA, PS, PT, PTL, PTM};
|
||||
use crate::work::Work;
|
||||
|
||||
/// Thermal diffusion coefficients, by the species order of the output.
|
||||
///
|
||||
/// `alpha` in the reference. Only helium, argon and hydrogen have one.
|
||||
const ALPHA: [f64; 9] = [-0.38, 0.0, 0.0, 0.0, 0.17, 0.0, -0.38, 0.0, 0.0];
|
||||
|
||||
/// Altitudes above which each species' mixed correction is dropped, km.
|
||||
///
|
||||
/// `altl` in the reference, in the order N2, He, O, O2, Ar, H, N — the reference's own
|
||||
/// order here, which is not the output's.
|
||||
const ALTL: [f64; 8] = [200.0, 300.0, 160.0, 250.0, 240.0, 450.0, 320.0, 450.0];
|
||||
|
||||
/// Nodes of the troposphere and lower stratosphere temperature spline, km.
|
||||
const ZN3: [f64; 5] = [32.5, 20.0, 15.0, 10.0, 0.0];
|
||||
|
||||
/// Nodes of the upper stratosphere and mesosphere temperature spline, km.
|
||||
const ZN2: [f64; 4] = [72.5, 55.0, 45.0, 32.5];
|
||||
|
||||
/// Altitude above which mixing is no longer complete, km. `zmix` in the reference.
|
||||
const ZMIX: f64 = 62.5;
|
||||
|
||||
/// Mass of a nucleon in g, as the reference writes it, for summing a mass density.
|
||||
const NUCLEON_MASS: f64 = 1.66e-24;
|
||||
|
||||
/// NRLMSISE-00.
|
||||
///
|
||||
/// Built once from a set of [`Switches`] and then evaluated as often as wanted. Building it
|
||||
/// resolves the switches into the form the expansions multiply by, which is the reference's
|
||||
/// `tselec` done once rather than on every call.
|
||||
///
|
||||
/// ```
|
||||
/// use nrlmsise00::{Input, MagneticActivity, Model};
|
||||
///
|
||||
/// let model = Model::new();
|
||||
/// let output = model.gtd7d(&Input::consistent(
|
||||
/// 172, // day of year
|
||||
/// 29000.0, // seconds of universal time
|
||||
/// 400.0, // km
|
||||
/// 60.0, // degrees north
|
||||
/// -70.0, // degrees east
|
||||
/// 150.0, // 81-day average F10.7
|
||||
/// 150.0, // previous day's F10.7
|
||||
/// MagneticActivity::Daily { ap: 4.0 },
|
||||
/// ));
|
||||
/// // A couple of picograms per cubic meter at 400 km, in SI by default.
|
||||
/// assert!((output.total_mass - 2.4e-12).abs() < 0.1e-12);
|
||||
/// ```
|
||||
#[derive(Clone, Copy, Debug)]
|
||||
pub struct Model {
|
||||
switches: Switches,
|
||||
resolved: Resolved,
|
||||
}
|
||||
|
||||
impl Default for Model {
|
||||
fn default() -> Self {
|
||||
Self::new()
|
||||
}
|
||||
}
|
||||
|
||||
impl Model {
|
||||
/// The model with every variation included, answering in SI.
|
||||
pub fn new() -> Self {
|
||||
Self::with_switches(Switches::default())
|
||||
}
|
||||
|
||||
/// The model with a chosen set of variations and units.
|
||||
pub fn with_switches(switches: Switches) -> Self {
|
||||
Self {
|
||||
switches,
|
||||
resolved: switches.resolve(),
|
||||
}
|
||||
}
|
||||
|
||||
/// Which variations this model includes.
|
||||
pub fn switches(&self) -> Switches {
|
||||
self.switches
|
||||
}
|
||||
|
||||
/// Density and temperature from the surface to the lower exosphere.
|
||||
///
|
||||
/// The total mass density sums helium, atomic oxygen, molecular nitrogen, molecular
|
||||
/// oxygen, argon, hydrogen and atomic nitrogen. It leaves out anomalous oxygen, which
|
||||
/// is what [`Model::gtd7d`] adds, and a drag calculation wants that one. The individual
|
||||
/// number densities are the same either way, anomalous oxygen included.
|
||||
pub fn gtd7<T: Scalar>(&self, input: &Input<T>) -> Output<T> {
|
||||
let mut work = Work::new();
|
||||
self.evaluate(input, &mut work)
|
||||
}
|
||||
|
||||
/// Density and temperature, with anomalous oxygen in the total mass density.
|
||||
///
|
||||
/// This is the total a drag calculation wants: the reference calls it the effective
|
||||
/// total mass density for drag. Anomalous oxygen is hot atomic oxygen, and above about
|
||||
/// 500 km it is a large part of the mass that a satellite runs into.
|
||||
///
|
||||
/// Nothing but [`Output::total_mass`] differs from [`Model::gtd7`].
|
||||
pub fn gtd7d<T: Scalar>(&self, input: &Input<T>) -> Output<T> {
|
||||
let mut work = Work::new();
|
||||
let mut output = self.evaluate(input, &mut work);
|
||||
output.total_mass = mass_density(&output, true);
|
||||
if self.switches.units == Units::Si {
|
||||
output.total_mass = output.total_mass / 1000.0;
|
||||
}
|
||||
output
|
||||
}
|
||||
|
||||
/// Density and temperature from the thermospheric part of the model alone.
|
||||
///
|
||||
/// `gts7`. Only meaningful above 72.5 km; [`Model::gtd7`] handles the whole range, and
|
||||
/// below 72.5 km it calls this at 72.5 and blends downward from there.
|
||||
pub fn gts7<T: Scalar>(&self, input: &Input<T>) -> Output<T> {
|
||||
let mut work = Work::new();
|
||||
let xlat = if self.resolved.sw[2] == 0.0 {
|
||||
T::lift(45.0)
|
||||
} else {
|
||||
input.latitude_deg
|
||||
};
|
||||
(work.gsurf, work.re) = glatf(xlat);
|
||||
self.thermosphere(input, input.altitude_km, &mut work)
|
||||
}
|
||||
|
||||
/// `gtd7`: the thermosphere, and below 72.5 km the mesosphere blended onto it.
|
||||
fn evaluate<T: Scalar>(&self, input: &Input<T>, work: &mut Work<T>) -> Output<T> {
|
||||
let (sw, metric) = (&self.resolved.sw, self.switches.units == Units::Si);
|
||||
|
||||
// Latitude variation of gravity, which switch 2 also governs.
|
||||
let xlat = if sw[2] == 0.0 {
|
||||
T::lift(45.0)
|
||||
} else {
|
||||
input.latitude_deg
|
||||
};
|
||||
(work.gsurf, work.re) = glatf(xlat);
|
||||
|
||||
let xmm = PDM[2][4];
|
||||
|
||||
// The thermosphere, evaluated no lower than the top of the mesosphere spline.
|
||||
let altt = if input.altitude_km.re() > ZN2[0] {
|
||||
input.altitude_km
|
||||
} else {
|
||||
T::lift(ZN2[0])
|
||||
};
|
||||
let thermosphere = self.thermosphere(input, altt, work);
|
||||
|
||||
let dm28m = if metric { work.dm28 * 1.0e6 } else { work.dm28 };
|
||||
let mut output = thermosphere;
|
||||
|
||||
if input.altitude_km.re() >= ZN2[0] {
|
||||
return output;
|
||||
}
|
||||
|
||||
// Lower mesosphere and upper stratosphere, 32.5 to 72.5 km. The inverse of the
|
||||
// temperature at each node is a linear function of the spherical harmonics.
|
||||
work.tgn2[0] = work.tgn1[1];
|
||||
work.tn2[0] = work.tn1[4];
|
||||
work.tn2[1] = T::lift(PMA[0][0] * PAVGM[0])
|
||||
/ (-(glob7s(&PMA[0], input, &self.resolved, work) * sw[20]) + 1.0);
|
||||
work.tn2[2] = T::lift(PMA[1][0] * PAVGM[1])
|
||||
/ (-(glob7s(&PMA[1], input, &self.resolved, work) * sw[20]) + 1.0);
|
||||
work.tn2[3] = T::lift(PMA[2][0] * PAVGM[2])
|
||||
/ (-(glob7s(&PMA[2], input, &self.resolved, work) * sw[20] * sw[22]) + 1.0);
|
||||
let tgn = (glob7s(&PMA[9], input, &self.resolved, work) * sw[20] * sw[22] + 1.0)
|
||||
* (PAVGM[8] * PMA[9][0])
|
||||
* work.tn2[3]
|
||||
* work.tn2[3]
|
||||
/ (PMA[2][0] * PAVGM[2]).powi(2);
|
||||
work.tgn2[1] = tgn;
|
||||
work.tn3[0] = work.tn2[3];
|
||||
|
||||
// Lower stratosphere and troposphere, at and below 32.5 km.
|
||||
//
|
||||
// The reference's test here is `alt < 32.5`, while `densm` enters this layer at
|
||||
// `alt <= 32.5`. At exactly 32.5 km it therefore splines through nodes its own
|
||||
// call never filled, and reads whichever values the previous call to the model
|
||||
// left in them. In C those are file-scope statics, so the answer there depends on
|
||||
// what was asked before; here they would be zero, and the spline's second
|
||||
// derivatives would come out infinite, and the density NaN.
|
||||
//
|
||||
// These nodes do not depend on the altitude — they are the expansions in day,
|
||||
// position and flux — so filling them at exactly 32.5 km gives precisely the
|
||||
// values a preceding lower call would have left. That makes this agree with the
|
||||
// reference's numbers wherever those numbers mean anything, which the grid fixture
|
||||
// checks at 32.5 km in sixty scenarios, and removes the NaN. It is the one place
|
||||
// the port departs from the reference's control flow.
|
||||
if input.altitude_km.re() <= ZN3[0] {
|
||||
work.tgn3[0] = work.tgn2[1];
|
||||
work.tn3[1] = T::lift(PMA[3][0] * PAVGM[3])
|
||||
/ (-(glob7s(&PMA[3], input, &self.resolved, work) * sw[22]) + 1.0);
|
||||
work.tn3[2] = T::lift(PMA[4][0] * PAVGM[4])
|
||||
/ (-(glob7s(&PMA[4], input, &self.resolved, work) * sw[22]) + 1.0);
|
||||
work.tn3[3] = T::lift(PMA[5][0] * PAVGM[5])
|
||||
/ (-(glob7s(&PMA[5], input, &self.resolved, work) * sw[22]) + 1.0);
|
||||
work.tn3[4] = T::lift(PMA[6][0] * PAVGM[6])
|
||||
/ (-(glob7s(&PMA[6], input, &self.resolved, work) * sw[22]) + 1.0);
|
||||
let tgn = (glob7s(&PMA[7], input, &self.resolved, work) * sw[22] + 1.0)
|
||||
* (PMA[7][0] * PAVGM[7])
|
||||
* work.tn3[4]
|
||||
* work.tn3[4]
|
||||
/ (PMA[6][0] * PAVGM[6]).powi(2);
|
||||
work.tgn3[1] = tgn;
|
||||
}
|
||||
|
||||
// Linear transition to full mixing below 72.5 km.
|
||||
let mut dmc = T::lift(0.0);
|
||||
if input.altitude_km.re() > ZMIX {
|
||||
dmc = -((T::lift(ZN2[0]) - input.altitude_km) / (ZN2[0] - ZMIX)) + 1.0;
|
||||
}
|
||||
let dz28 = thermosphere.molecular_nitrogen;
|
||||
let mut tz = T::lift(0.0);
|
||||
|
||||
// Molecular nitrogen, which the others are scaled from.
|
||||
let dmr = thermosphere.molecular_nitrogen / dm28m - 1.0;
|
||||
let dm = densm(work, input.altitude_km, dm28m, xmm, &mut tz, &ZN3, &ZN2);
|
||||
output.molecular_nitrogen = dm * (dmr * dmc + 1.0);
|
||||
|
||||
// Helium.
|
||||
let dmr = thermosphere.helium / (dz28 * PDM[0][1]) - 1.0;
|
||||
output.helium = output.molecular_nitrogen * PDM[0][1] * (dmr * dmc + 1.0);
|
||||
|
||||
// Atomic oxygen and anomalous oxygen are not carried below 72.5 km.
|
||||
output.atomic_oxygen = T::lift(0.0);
|
||||
output.anomalous_oxygen = T::lift(0.0);
|
||||
|
||||
// Molecular oxygen.
|
||||
let dmr = thermosphere.molecular_oxygen / (dz28 * PDM[3][1]) - 1.0;
|
||||
output.molecular_oxygen = output.molecular_nitrogen * PDM[3][1] * (dmr * dmc + 1.0);
|
||||
|
||||
// Argon.
|
||||
let dmr = thermosphere.argon / (dz28 * PDM[4][1]) - 1.0;
|
||||
output.argon = output.molecular_nitrogen * PDM[4][1] * (dmr * dmc + 1.0);
|
||||
|
||||
// Hydrogen and atomic nitrogen are not carried below 72.5 km either.
|
||||
output.hydrogen = T::lift(0.0);
|
||||
output.atomic_nitrogen = T::lift(0.0);
|
||||
|
||||
// The total is summed from the densities as they now stand, which are already in
|
||||
// the output units, so only the thousand is applied here.
|
||||
output.total_mass = mass_density(&output, false);
|
||||
if metric {
|
||||
output.total_mass = output.total_mass / 1000.0;
|
||||
}
|
||||
|
||||
// The temperature at the altitude, from the same profile with no mass.
|
||||
densm(
|
||||
work,
|
||||
input.altitude_km,
|
||||
T::lift(1.0),
|
||||
0.0,
|
||||
&mut tz,
|
||||
&ZN3,
|
||||
&ZN2,
|
||||
);
|
||||
output.temperature = tz;
|
||||
output
|
||||
}
|
||||
|
||||
/// The thermospheric part: `gts7`.
|
||||
///
|
||||
/// Each species is built the same way: a variation factor at the lower boundary, a
|
||||
/// diffusive density from [`densu`], and then, where switch 15 allows it and the
|
||||
/// altitude is low enough, a fully mixed density blended in by [`dnet`] and one or two
|
||||
/// chemistry corrections from [`ccor`] and [`ccor2`].
|
||||
fn thermosphere<T: Scalar>(&self, input: &Input<T>, alt: T, work: &mut Work<T>) -> Output<T> {
|
||||
let sw = &self.resolved.sw;
|
||||
let mut output = Output::zeroed();
|
||||
|
||||
// The first node of the lower thermosphere spline is itself a fitted coefficient.
|
||||
let za = PDL[1][15];
|
||||
let zn1: [f64; MAX_NODES] = [za, 110.0, 100.0, 90.0, 72.5];
|
||||
|
||||
// Variation in the exospheric temperature does not matter below za.
|
||||
let tinf = if alt.re() > zn1[0] {
|
||||
T::lift(PTM[0] * PT[0]) * (globe7(&PT, input, &self.resolved, work) * sw[16] + 1.0)
|
||||
} else {
|
||||
T::lift(PTM[0] * PT[0])
|
||||
};
|
||||
output.exospheric_temperature = tinf;
|
||||
|
||||
// Variation in the 120 km gradient does not matter below the bottom node.
|
||||
let g0 = if alt.re() > zn1[4] {
|
||||
T::lift(PTM[3] * PS[0]) * (globe7(&PS, input, &self.resolved, work) * sw[19] + 1.0)
|
||||
} else {
|
||||
T::lift(PTM[3] * PS[0])
|
||||
};
|
||||
let tlb = (globe7(&PD[3], input, &self.resolved, work) * sw[17] + 1.0) * PTM[1] * PD[3][0];
|
||||
let s = g0 / (tinf - tlb);
|
||||
|
||||
// Lower thermosphere temperatures do not matter for density above 300 km.
|
||||
if alt.re() < 300.0 {
|
||||
work.tn1[1] = T::lift(PTM[6] * PTL[0][0])
|
||||
/ (-(glob7s(&PTL[0], input, &self.resolved, work) * sw[18]) + 1.0);
|
||||
work.tn1[2] = T::lift(PTM[2] * PTL[1][0])
|
||||
/ (-(glob7s(&PTL[1], input, &self.resolved, work) * sw[18]) + 1.0);
|
||||
work.tn1[3] = T::lift(PTM[7] * PTL[2][0])
|
||||
/ (-(glob7s(&PTL[2], input, &self.resolved, work) * sw[18]) + 1.0);
|
||||
work.tn1[4] = T::lift(PTM[4] * PTL[3][0])
|
||||
/ (-(glob7s(&PTL[3], input, &self.resolved, work) * sw[18] * sw[20]) + 1.0);
|
||||
let tgn = (glob7s(&PMA[8], input, &self.resolved, work) * sw[18] * sw[20] + 1.0)
|
||||
* (PTM[8] * PMA[8][0])
|
||||
* work.tn1[4]
|
||||
* work.tn1[4]
|
||||
/ (PTM[4] * PTL[3][0]).powi(2);
|
||||
work.tgn1[1] = tgn;
|
||||
} else {
|
||||
work.tn1[1] = T::lift(PTM[6] * PTL[0][0]);
|
||||
work.tn1[2] = T::lift(PTM[2] * PTL[1][0]);
|
||||
work.tn1[3] = T::lift(PTM[7] * PTL[2][0]);
|
||||
work.tn1[4] = T::lift(PTM[4] * PTL[3][0]);
|
||||
work.tgn1[1] = T::lift(PTM[8] * PMA[8][0]) * work.tn1[4] * work.tn1[4]
|
||||
/ (PTM[4] * PTL[3][0]).powi(2);
|
||||
}
|
||||
|
||||
// Variation of the molecular nitrogen density at the lower boundary.
|
||||
let g28 = globe7(&PD[2], input, &self.resolved, work) * sw[21];
|
||||
|
||||
// Variation of the turbopause height.
|
||||
let zhf = ((input.latitude_deg * DGTR).sin()
|
||||
* (sw[5] * PDL[0][24])
|
||||
* (DR * (f64::from(input.day_of_year) - PT[13])).cos()
|
||||
+ 1.0)
|
||||
* PDL[1][24];
|
||||
output.exospheric_temperature = tinf;
|
||||
let xmm = PDM[2][4];
|
||||
let z = alt;
|
||||
let mut tz = T::lift(0.0);
|
||||
|
||||
// Molecular nitrogen, which every other species below 72.5 km is scaled from.
|
||||
let db28 = g28.exp() * PDM[2][0] * PD[2][0];
|
||||
output.molecular_nitrogen = densu(
|
||||
work, z, db28, tinf, tlb, 28.0, ALPHA[2], &mut tz, PTM[5], s, &zn1,
|
||||
);
|
||||
let zh28 = zhf * PDM[2][2];
|
||||
let zhm28 = PDM[2][3] * PDL[1][5];
|
||||
let xmd = 28.0 - xmm;
|
||||
let b28 = densu(
|
||||
work,
|
||||
zh28,
|
||||
db28,
|
||||
tinf,
|
||||
tlb,
|
||||
xmd,
|
||||
ALPHA[2] - 1.0,
|
||||
&mut tz,
|
||||
PTM[5],
|
||||
s,
|
||||
&zn1,
|
||||
);
|
||||
// The reference computes the mixed density only when switch 15 is on, but `gtd7`
|
||||
// reads it below 72.5 km whatever the switch says, where it is the density every
|
||||
// other species is scaled from. With the switch off the reference therefore reads
|
||||
// a value from whichever call last wrote it — a file-scope static — and returns an
|
||||
// answer that depends on what was asked before. Computing it regardless costs one
|
||||
// `densu` call in a configuration nobody runs by default, and changes nothing when
|
||||
// the switch is on: the blend below is still what the switch governs.
|
||||
if z.re() <= ALTL[2] {
|
||||
let dm28 = densu(
|
||||
work, z, b28, tinf, tlb, xmm, ALPHA[2], &mut tz, PTM[5], s, &zn1,
|
||||
);
|
||||
work.dm28 = dm28;
|
||||
if sw[15] != 0.0 {
|
||||
output.molecular_nitrogen = dnet(output.molecular_nitrogen, dm28, zhm28, xmm, 28.0);
|
||||
}
|
||||
}
|
||||
|
||||
// Helium.
|
||||
let g4 = globe7(&PD[0], input, &self.resolved, work) * sw[21];
|
||||
let db04 = g4.exp() * PDM[0][0] * PD[0][0];
|
||||
output.helium = densu(
|
||||
work, z, db04, tinf, tlb, 4.0, ALPHA[0], &mut tz, PTM[5], s, &zn1,
|
||||
);
|
||||
if sw[15] != 0.0 && z.re() < ALTL[0] {
|
||||
let zh04 = PDM[0][2];
|
||||
let b04 = densu(
|
||||
work,
|
||||
T::lift(zh04),
|
||||
db04,
|
||||
tinf,
|
||||
tlb,
|
||||
4.0 - xmm,
|
||||
ALPHA[0] - 1.0,
|
||||
&mut tz,
|
||||
PTM[5],
|
||||
s,
|
||||
&zn1,
|
||||
);
|
||||
let dm04 = densu(work, z, b04, tinf, tlb, xmm, 0.0, &mut tz, PTM[5], s, &zn1);
|
||||
work.dm04 = dm04;
|
||||
let zhm04 = zhm28;
|
||||
output.helium = dnet(output.helium, dm04, zhm04, xmm, 4.0);
|
||||
// Correction to the specified mixing ratio at the ground.
|
||||
let rl = (b28 * PDM[0][1] / b04).ln();
|
||||
let zc04 = PDM[0][4] * PDL[1][0];
|
||||
let hc04 = PDM[0][5] * PDL[1][1];
|
||||
output.helium = output.helium * ccor(z, rl, hc04, zc04);
|
||||
}
|
||||
|
||||
// Atomic oxygen.
|
||||
let g16 = globe7(&PD[1], input, &self.resolved, work) * sw[21];
|
||||
let db16 = g16.exp() * PDM[1][0] * PD[1][0];
|
||||
output.atomic_oxygen = densu(
|
||||
work, z, db16, tinf, tlb, 16.0, ALPHA[1], &mut tz, PTM[5], s, &zn1,
|
||||
);
|
||||
if sw[15] != 0.0 && z.re() <= ALTL[1] {
|
||||
let zh16 = PDM[1][2];
|
||||
let b16 = densu(
|
||||
work,
|
||||
T::lift(zh16),
|
||||
db16,
|
||||
tinf,
|
||||
tlb,
|
||||
16.0 - xmm,
|
||||
ALPHA[1] - 1.0,
|
||||
&mut tz,
|
||||
PTM[5],
|
||||
s,
|
||||
&zn1,
|
||||
);
|
||||
let dm16 = densu(work, z, b16, tinf, tlb, xmm, 0.0, &mut tz, PTM[5], s, &zn1);
|
||||
work.dm16 = dm16;
|
||||
let zhm16 = zhm28;
|
||||
output.atomic_oxygen = dnet(output.atomic_oxygen, dm16, zhm16, xmm, 16.0);
|
||||
let rl = ((input.f107_average - 150.0) * (sw[1] * PDL[0][23]) + 1.0)
|
||||
* (PDM[1][1] * PDL[1][16]);
|
||||
let hc16 = PDM[1][5] * PDL[1][3];
|
||||
let zc16 = PDM[1][4] * PDL[1][2];
|
||||
let hc216 = PDM[1][5] * PDL[1][4];
|
||||
output.atomic_oxygen = output.atomic_oxygen * ccor2(z, rl, hc16, zc16, hc216);
|
||||
// Chemistry correction.
|
||||
let hcc16 = PDM[1][7] * PDL[1][13];
|
||||
let zcc16 = PDM[1][6] * PDL[1][12];
|
||||
let rc16 = PDM[1][3] * PDL[1][14];
|
||||
output.atomic_oxygen = output.atomic_oxygen * ccor(z, T::lift(rc16), hcc16, zcc16);
|
||||
}
|
||||
|
||||
// Molecular oxygen.
|
||||
let g32 = globe7(&PD[4], input, &self.resolved, work) * sw[21];
|
||||
let db32 = g32.exp() * PDM[3][0] * PD[4][0];
|
||||
output.molecular_oxygen = densu(
|
||||
work, z, db32, tinf, tlb, 32.0, ALPHA[3], &mut tz, PTM[5], s, &zn1,
|
||||
);
|
||||
if sw[15] != 0.0 {
|
||||
if z.re() <= ALTL[3] {
|
||||
let zh32 = PDM[3][2];
|
||||
let b32 = densu(
|
||||
work,
|
||||
T::lift(zh32),
|
||||
db32,
|
||||
tinf,
|
||||
tlb,
|
||||
32.0 - xmm,
|
||||
ALPHA[3] - 1.0,
|
||||
&mut tz,
|
||||
PTM[5],
|
||||
s,
|
||||
&zn1,
|
||||
);
|
||||
let dm32 = densu(work, z, b32, tinf, tlb, xmm, 0.0, &mut tz, PTM[5], s, &zn1);
|
||||
work.dm32 = dm32;
|
||||
let zhm32 = zhm28;
|
||||
output.molecular_oxygen = dnet(output.molecular_oxygen, dm32, zhm32, xmm, 32.0);
|
||||
let rl = (b28 * PDM[3][1] / b32).ln();
|
||||
let hc32 = PDM[3][5] * PDL[1][7];
|
||||
let zc32 = PDM[3][4] * PDL[1][6];
|
||||
output.molecular_oxygen = output.molecular_oxygen * ccor(z, rl, hc32, zc32);
|
||||
}
|
||||
// Correction for a general departure from diffusive equilibrium above the
|
||||
// lower boundary, which applies at every altitude.
|
||||
let hcc32 = PDM[3][7] * PDL[1][22];
|
||||
let hcc232 = PDM[3][7] * PDL[0][22];
|
||||
let zcc32 = PDM[3][6] * PDL[1][21];
|
||||
let rc32 = ((input.f107_average - 150.0) * (sw[1] * PDL[0][23]) + 1.0)
|
||||
* (PDM[3][3] * PDL[1][23]);
|
||||
output.molecular_oxygen =
|
||||
output.molecular_oxygen * ccor2(z, rc32, hcc32, zcc32, hcc232);
|
||||
}
|
||||
|
||||
// Argon.
|
||||
let g40 = globe7(&PD[5], input, &self.resolved, work) * sw[21];
|
||||
let db40 = g40.exp() * PDM[4][0] * PD[5][0];
|
||||
output.argon = densu(
|
||||
work, z, db40, tinf, tlb, 40.0, ALPHA[4], &mut tz, PTM[5], s, &zn1,
|
||||
);
|
||||
if sw[15] != 0.0 && z.re() <= ALTL[4] {
|
||||
let zh40 = PDM[4][2];
|
||||
let b40 = densu(
|
||||
work,
|
||||
T::lift(zh40),
|
||||
db40,
|
||||
tinf,
|
||||
tlb,
|
||||
40.0 - xmm,
|
||||
ALPHA[4] - 1.0,
|
||||
&mut tz,
|
||||
PTM[5],
|
||||
s,
|
||||
&zn1,
|
||||
);
|
||||
let dm40 = densu(work, z, b40, tinf, tlb, xmm, 0.0, &mut tz, PTM[5], s, &zn1);
|
||||
work.dm40 = dm40;
|
||||
let zhm40 = zhm28;
|
||||
output.argon = dnet(output.argon, dm40, zhm40, xmm, 40.0);
|
||||
let rl = (b28 * PDM[4][1] / b40).ln();
|
||||
let hc40 = PDM[4][5] * PDL[1][9];
|
||||
let zc40 = PDM[4][4] * PDL[1][8];
|
||||
output.argon = output.argon * ccor(z, rl, hc40, zc40);
|
||||
}
|
||||
|
||||
// Hydrogen.
|
||||
let g1 = globe7(&PD[6], input, &self.resolved, work) * sw[21];
|
||||
let db01 = g1.exp() * PDM[5][0] * PD[6][0];
|
||||
output.hydrogen = densu(
|
||||
work, z, db01, tinf, tlb, 1.0, ALPHA[6], &mut tz, PTM[5], s, &zn1,
|
||||
);
|
||||
if sw[15] != 0.0 && z.re() <= ALTL[6] {
|
||||
let zh01 = PDM[5][2];
|
||||
let b01 = densu(
|
||||
work,
|
||||
T::lift(zh01),
|
||||
db01,
|
||||
tinf,
|
||||
tlb,
|
||||
1.0 - xmm,
|
||||
ALPHA[6] - 1.0,
|
||||
&mut tz,
|
||||
PTM[5],
|
||||
s,
|
||||
&zn1,
|
||||
);
|
||||
let dm01 = densu(work, z, b01, tinf, tlb, xmm, 0.0, &mut tz, PTM[5], s, &zn1);
|
||||
work.dm01 = dm01;
|
||||
let zhm01 = zhm28;
|
||||
output.hydrogen = dnet(output.hydrogen, dm01, zhm01, xmm, 1.0);
|
||||
// The reference writes sqrt(pdl[1][17]*pdl[1][17]) for the magnitude.
|
||||
let rl = (b28 * PDM[5][1] * PDL[1][17].abs() / b01).ln();
|
||||
let hc01 = PDM[5][5] * PDL[1][11];
|
||||
let zc01 = PDM[5][4] * PDL[1][10];
|
||||
output.hydrogen = output.hydrogen * ccor(z, rl, hc01, zc01);
|
||||
// Chemistry correction.
|
||||
let hcc01 = PDM[5][7] * PDL[1][19];
|
||||
let zcc01 = PDM[5][6] * PDL[1][18];
|
||||
let rc01 = PDM[5][3] * PDL[1][20];
|
||||
output.hydrogen = output.hydrogen * ccor(z, T::lift(rc01), hcc01, zcc01);
|
||||
}
|
||||
|
||||
// Atomic nitrogen.
|
||||
let g14 = globe7(&PD[7], input, &self.resolved, work) * sw[21];
|
||||
let db14 = g14.exp() * PDM[6][0] * PD[7][0];
|
||||
output.atomic_nitrogen = densu(
|
||||
work, z, db14, tinf, tlb, 14.0, ALPHA[7], &mut tz, PTM[5], s, &zn1,
|
||||
);
|
||||
if sw[15] != 0.0 && z.re() <= ALTL[7] {
|
||||
let zh14 = PDM[6][2];
|
||||
let b14 = densu(
|
||||
work,
|
||||
T::lift(zh14),
|
||||
db14,
|
||||
tinf,
|
||||
tlb,
|
||||
14.0 - xmm,
|
||||
ALPHA[7] - 1.0,
|
||||
&mut tz,
|
||||
PTM[5],
|
||||
s,
|
||||
&zn1,
|
||||
);
|
||||
let dm14 = densu(work, z, b14, tinf, tlb, xmm, 0.0, &mut tz, PTM[5], s, &zn1);
|
||||
work.dm14 = dm14;
|
||||
let zhm14 = zhm28;
|
||||
output.atomic_nitrogen = dnet(output.atomic_nitrogen, dm14, zhm14, xmm, 14.0);
|
||||
let rl = (b28 * PDM[6][1] * PDL[0][2].abs() / b14).ln();
|
||||
let hc14 = PDM[6][5] * PDL[0][1];
|
||||
let zc14 = PDM[6][4] * PDL[0][0];
|
||||
output.atomic_nitrogen = output.atomic_nitrogen * ccor(z, rl, hc14, zc14);
|
||||
// Chemistry correction.
|
||||
let hcc14 = PDM[6][7] * PDL[0][4];
|
||||
let zcc14 = PDM[6][6] * PDL[0][3];
|
||||
let rc14 = PDM[6][3] * PDL[0][5];
|
||||
output.atomic_nitrogen = output.atomic_nitrogen * ccor(z, T::lift(rc14), hcc14, zcc14);
|
||||
}
|
||||
|
||||
// Anomalous oxygen: hot atomic oxygen, on its own barometric profile rather than
|
||||
// the diffusive one, and with no mixed correction.
|
||||
let g16h = globe7(&PD[8], input, &self.resolved, work) * sw[21];
|
||||
let db16h = g16h.exp() * PDM[7][0] * PD[8][0];
|
||||
let tho = PDM[7][9] * PDL[0][6];
|
||||
let dd = densu(
|
||||
work,
|
||||
z,
|
||||
db16h,
|
||||
T::lift(tho),
|
||||
T::lift(tho),
|
||||
16.0,
|
||||
ALPHA[8],
|
||||
&mut tz,
|
||||
PTM[5],
|
||||
s,
|
||||
&zn1,
|
||||
);
|
||||
let zsht = PDM[7][5];
|
||||
let zmho = PDM[7][4];
|
||||
let zsho = scalh(work, zmho, 16.0, T::lift(tho));
|
||||
output.anomalous_oxygen =
|
||||
dd * ((T::lift(-zsht) / zsho) * ((-(z - zmho) / zsht).exp() - 1.0)).exp();
|
||||
|
||||
output.total_mass = mass_density(&output, false);
|
||||
|
||||
// The temperature at the altitude, from the same profile with no mass.
|
||||
let z = alt.abs();
|
||||
densu(
|
||||
work,
|
||||
z,
|
||||
T::lift(1.0),
|
||||
tinf,
|
||||
tlb,
|
||||
0.0,
|
||||
0.0,
|
||||
&mut tz,
|
||||
PTM[5],
|
||||
s,
|
||||
&zn1,
|
||||
);
|
||||
output.temperature = tz;
|
||||
|
||||
if self.switches.units == Units::Si {
|
||||
to_si(&mut output);
|
||||
}
|
||||
output
|
||||
}
|
||||
}
|
||||
|
||||
/// The mass density summed over the species, in the model's own units.
|
||||
///
|
||||
/// Which species it sums is the only difference between `gtd7` and `gtd7d`: the latter
|
||||
/// includes anomalous oxygen.
|
||||
fn mass_density<T: Scalar>(output: &Output<T>, anomalous: bool) -> T {
|
||||
let sum = output.helium * 4.0
|
||||
+ output.atomic_oxygen * 16.0
|
||||
+ output.molecular_nitrogen * 28.0
|
||||
+ output.molecular_oxygen * 32.0
|
||||
+ output.argon * 40.0
|
||||
+ output.hydrogen
|
||||
+ output.atomic_nitrogen * 14.0;
|
||||
let sum = if anomalous {
|
||||
sum + output.anomalous_oxygen * 16.0
|
||||
} else {
|
||||
sum
|
||||
};
|
||||
sum * NUCLEON_MASS
|
||||
}
|
||||
|
||||
/// The reference's switch 0, applied where it applies it.
|
||||
///
|
||||
/// Every density, the mass density among them, is scaled from cm^-3 to m^-3, and then the
|
||||
/// mass density is divided by a thousand. Both operations, in that order: g/cm^3 scaled by
|
||||
/// 1e6 and then by 1e-3 is kg/m^3, and doing it in one step would not round the same way.
|
||||
fn to_si<T: Scalar>(output: &mut Output<T>) {
|
||||
output.helium = output.helium * 1.0e6;
|
||||
output.atomic_oxygen = output.atomic_oxygen * 1.0e6;
|
||||
output.molecular_nitrogen = output.molecular_nitrogen * 1.0e6;
|
||||
output.molecular_oxygen = output.molecular_oxygen * 1.0e6;
|
||||
output.argon = output.argon * 1.0e6;
|
||||
output.total_mass = output.total_mass * 1.0e6;
|
||||
output.hydrogen = output.hydrogen * 1.0e6;
|
||||
output.atomic_nitrogen = output.atomic_nitrogen * 1.0e6;
|
||||
output.anomalous_oxygen = output.anomalous_oxygen * 1.0e6;
|
||||
output.total_mass = output.total_mass / 1000.0;
|
||||
}
|
||||
+338
@@ -0,0 +1,338 @@
|
||||
//! The temperature and density profiles: `densu` above 72.5 km and `densm` below it.
|
||||
//!
|
||||
//! Both work the same way. A spline is laid through the inverse of the temperature at a
|
||||
//! handful of nodes, because that is what makes the hydrostatic integral a spline integral
|
||||
//! and so closed-form; the temperature at the altitude asked for comes from evaluating it,
|
||||
//! and the density from integrating it.
|
||||
//!
|
||||
//! The reference passes the node arrays in as pointers and every caller passes the same
|
||||
//! ones, so here they are read from [`Work`] directly: `densu` always gets `tn1` and
|
||||
//! `tgn1`, `densm` always gets `tn2`/`tgn2` and then `tn3`/`tgn3`.
|
||||
|
||||
use crate::helpers::{spline, splini, splint, zeta, MAX_NODES, RGAS};
|
||||
use crate::scalar::Scalar;
|
||||
use crate::work::Work;
|
||||
|
||||
/// Temperature and density above the lower thermosphere's first node.
|
||||
///
|
||||
/// `densu`. Returns the density of a species of mass `xm`, or the temperature when `xm` is
|
||||
/// zero, and writes the temperature at the altitude to `tz` either way.
|
||||
///
|
||||
/// `dlb` and `tlb` are the density and temperature at the lower boundary `zlb`, `tinf` the
|
||||
/// exospheric temperature, `alpha` the species' thermal diffusion coefficient and `s2` the
|
||||
/// temperature gradient parameter.
|
||||
///
|
||||
/// It also writes the Bates profile's temperature and gradient into `tn1[0]` and `tgn1[0]`,
|
||||
/// which is how the spline below `za` is joined continuously to the profile above it. The
|
||||
/// mesosphere reads those afterwards, so the order of calls matters.
|
||||
#[allow(clippy::too_many_arguments)]
|
||||
pub(crate) fn densu<T: Scalar>(
|
||||
work: &mut Work<T>,
|
||||
alt: T,
|
||||
dlb: T,
|
||||
tinf: T,
|
||||
tlb: T,
|
||||
xm: f64,
|
||||
alpha: f64,
|
||||
tz: &mut T,
|
||||
zlb: f64,
|
||||
s2: T,
|
||||
zn1: &[f64; MAX_NODES],
|
||||
) -> T {
|
||||
let za = zn1[0];
|
||||
let z = if alt.re() > za { alt } else { T::lift(za) };
|
||||
|
||||
// Geopotential height above the lower boundary, and the Bates temperature there.
|
||||
let zg2 = zeta(work, z, T::lift(zlb));
|
||||
let tt = tinf - (tinf - tlb) * ((-s2) * zg2).exp();
|
||||
let ta = tt;
|
||||
*tz = tt;
|
||||
let mut densu_temp = *tz;
|
||||
|
||||
// Carried out of the branch below, because the density part reads them.
|
||||
let mut xs = [T::lift(0.0); MAX_NODES];
|
||||
let mut ys = [T::lift(0.0); MAX_NODES];
|
||||
let mut y2out = [T::lift(0.0); MAX_NODES];
|
||||
let mut x = T::lift(0.0);
|
||||
let mut zgdif = T::lift(0.0);
|
||||
let mut z1 = 0.0f64;
|
||||
let mut t1 = T::lift(0.0);
|
||||
|
||||
if alt.re() < za {
|
||||
// The temperature gradient at za from the Bates profile, which the spline below it
|
||||
// is made to match.
|
||||
let dta = (tinf - ta) * s2 * ((work.re + zlb) / (work.re + za)).powf(2.0);
|
||||
work.tgn1[0] = dta;
|
||||
work.tn1[0] = ta;
|
||||
|
||||
let mn = zn1.len();
|
||||
let z = if alt.re() > zn1[mn - 1] {
|
||||
alt
|
||||
} else {
|
||||
T::lift(zn1[mn - 1])
|
||||
};
|
||||
z1 = zn1[0];
|
||||
let z2 = zn1[mn - 1];
|
||||
t1 = work.tn1[0];
|
||||
let t2 = work.tn1[mn - 1];
|
||||
let zg = zeta(work, z, T::lift(z1));
|
||||
zgdif = zeta(work, T::lift(z2), T::lift(z1));
|
||||
|
||||
for k in 0..mn {
|
||||
xs[k] = zeta(work, T::lift(zn1[k]), T::lift(z1)) / zgdif;
|
||||
ys[k] = T::lift(1.0) / work.tn1[k];
|
||||
}
|
||||
let yd1 = -work.tgn1[0] / (t1 * t1) * zgdif;
|
||||
let yd2 = -work.tgn1[1] / (t2 * t2) * zgdif * ((work.re + z2) / (work.re + z1)).powf(2.0);
|
||||
|
||||
spline(&xs[..mn], &ys[..mn], yd1, yd2, &mut y2out[..mn]);
|
||||
x = zg / zgdif;
|
||||
*tz = T::lift(1.0) / splint(&xs[..mn], &ys[..mn], &y2out[..mn], x);
|
||||
densu_temp = *tz;
|
||||
}
|
||||
if xm == 0.0 {
|
||||
return densu_temp;
|
||||
}
|
||||
|
||||
// Density above za, from the Bates profile.
|
||||
let glb = work.gsurf / (T::lift(zlb) / work.re + 1.0).powf(2.0);
|
||||
let gamma = glb * xm / (s2 * RGAS * tinf);
|
||||
let mut expl = ((-s2) * gamma * zg2).exp();
|
||||
if expl.re() > 50.0 {
|
||||
expl = T::lift(50.0);
|
||||
}
|
||||
if tt.re() <= 0.0 {
|
||||
expl = T::lift(50.0);
|
||||
}
|
||||
densu_temp = dlb * (tlb / tt).powt(gamma + (1.0 + alpha)) * expl;
|
||||
if alt.re() >= za {
|
||||
return densu_temp;
|
||||
}
|
||||
|
||||
// Density below za, from the integral of the spline.
|
||||
let glb = work.gsurf / (T::lift(z1) / work.re + 1.0).powf(2.0);
|
||||
let gamm = glb * xm * zgdif / RGAS;
|
||||
let mn = zn1.len();
|
||||
let yi = splini(&xs[..mn], &ys[..mn], &y2out[..mn], x);
|
||||
let mut expl = gamm * yi;
|
||||
if expl.re() > 50.0 {
|
||||
expl = T::lift(50.0);
|
||||
}
|
||||
if tz.re() <= 0.0 {
|
||||
expl = T::lift(50.0);
|
||||
}
|
||||
densu_temp * (t1 / *tz).powf(1.0 + alpha) * (-expl).exp()
|
||||
}
|
||||
|
||||
/// Temperature and density below 72.5 km.
|
||||
///
|
||||
/// `densm`. Returns the density of a fully mixed atmosphere of mass `xm` scaled from `d0`,
|
||||
/// or the temperature when `xm` is zero, and writes the temperature to `tz` either way.
|
||||
///
|
||||
/// Two layers, stratosphere and mesosphere down to 32.5 km and then troposphere below it,
|
||||
/// each a spline through its own nodes.
|
||||
pub(crate) fn densm<T: Scalar>(
|
||||
work: &Work<T>,
|
||||
alt: T,
|
||||
d0: T,
|
||||
xm: f64,
|
||||
tz: &mut T,
|
||||
zn3: &[f64; 5],
|
||||
zn2: &[f64; 4],
|
||||
) -> T {
|
||||
let mut densm_tmp = d0;
|
||||
|
||||
if alt.re() > zn2[0] {
|
||||
// Above where this routine applies. The reference returns the temperature it was
|
||||
// handed, which it has not written; no caller reaches here.
|
||||
return if xm == 0.0 { *tz } else { d0 };
|
||||
}
|
||||
|
||||
// Stratosphere and mesosphere.
|
||||
let z = if alt.re() > zn2[zn2.len() - 1] {
|
||||
alt
|
||||
} else {
|
||||
T::lift(zn2[zn2.len() - 1])
|
||||
};
|
||||
densm_tmp = layer(work, z, zn2, &work.tn2, &work.tgn2, xm, densm_tmp, tz);
|
||||
|
||||
if alt.re() > zn3[0] {
|
||||
return if xm == 0.0 { *tz } else { densm_tmp };
|
||||
}
|
||||
|
||||
// Troposphere and lower stratosphere. The altitude is used as it is here, not clamped.
|
||||
let densm_tmp = layer(work, alt, zn3, &work.tn3, &work.tgn3, xm, densm_tmp, tz);
|
||||
if xm == 0.0 {
|
||||
*tz
|
||||
} else {
|
||||
densm_tmp
|
||||
}
|
||||
}
|
||||
|
||||
/// One spline layer of [`densm`]: the temperature at `z`, and the density scaled across it.
|
||||
///
|
||||
/// The reference writes this out twice, once per layer, with the node arrays swapped.
|
||||
#[allow(clippy::too_many_arguments)]
|
||||
fn layer<T: Scalar>(
|
||||
work: &Work<T>,
|
||||
z: T,
|
||||
zn: &[f64],
|
||||
tn: &[T],
|
||||
tgn: &[T; 2],
|
||||
xm: f64,
|
||||
density: T,
|
||||
tz: &mut T,
|
||||
) -> T {
|
||||
let mn = zn.len();
|
||||
let z1 = zn[0];
|
||||
let z2 = zn[mn - 1];
|
||||
let t1 = tn[0];
|
||||
let t2 = tn[mn - 1];
|
||||
let zg = zeta(work, z, T::lift(z1));
|
||||
let zgdif = zeta(work, T::lift(z2), T::lift(z1));
|
||||
|
||||
let mut xs = [T::lift(0.0); MAX_NODES];
|
||||
let mut ys = [T::lift(0.0); MAX_NODES];
|
||||
let mut y2out = [T::lift(0.0); MAX_NODES];
|
||||
for k in 0..mn {
|
||||
xs[k] = zeta(work, T::lift(zn[k]), T::lift(z1)) / zgdif;
|
||||
ys[k] = T::lift(1.0) / tn[k];
|
||||
}
|
||||
let yd1 = -tgn[0] / (t1 * t1) * zgdif;
|
||||
let yd2 = -tgn[1] / (t2 * t2) * zgdif * ((work.re + z2) / (work.re + z1)).powf(2.0);
|
||||
|
||||
spline(&xs[..mn], &ys[..mn], yd1, yd2, &mut y2out[..mn]);
|
||||
let x = zg / zgdif;
|
||||
*tz = T::lift(1.0) / splint(&xs[..mn], &ys[..mn], &y2out[..mn], x);
|
||||
|
||||
if xm == 0.0 {
|
||||
return density;
|
||||
}
|
||||
|
||||
let glb = work.gsurf / (T::lift(z1) / work.re + 1.0).powf(2.0);
|
||||
let gamm = glb * xm * zgdif / RGAS;
|
||||
let yi = splini(&xs[..mn], &ys[..mn], &y2out[..mn], x);
|
||||
let mut expl = gamm * yi;
|
||||
if expl.re() > 50.0 {
|
||||
expl = T::lift(50.0);
|
||||
}
|
||||
density * (t1 / *tz) * (-expl).exp()
|
||||
}
|
||||
|
||||
#[cfg(test)]
|
||||
mod tests {
|
||||
use super::*;
|
||||
use crate::testing::{assert_bits, helper_cases, number, numbers};
|
||||
|
||||
/// Fills a fixed-size array from a fixture field, checking the length the fixture holds.
|
||||
fn array<const N: usize>(case: &serde_json::Value, field: &str) -> [f64; N] {
|
||||
let values = numbers(case, field);
|
||||
assert_eq!(values.len(), N, "{field} has {} values", values.len());
|
||||
let mut out = [0.0; N];
|
||||
out.copy_from_slice(&values);
|
||||
out
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_densu_matches_the_reference() {
|
||||
for case in helper_cases("densu") {
|
||||
let mut work = Work::new();
|
||||
work.gsurf = number(&case, "gsurf");
|
||||
work.re = number(&case, "re");
|
||||
work.tn1 = array(&case, "tn1_in");
|
||||
work.tgn1 = array(&case, "tgn1_in");
|
||||
|
||||
let mut tz = 0.0;
|
||||
let got = densu(
|
||||
&mut work,
|
||||
number(&case, "alt"),
|
||||
number(&case, "dlb"),
|
||||
number(&case, "tinf"),
|
||||
number(&case, "tlb"),
|
||||
number(&case, "xm"),
|
||||
number(&case, "alpha"),
|
||||
&mut tz,
|
||||
number(&case, "zlb"),
|
||||
number(&case, "s2"),
|
||||
&array(&case, "zn1"),
|
||||
);
|
||||
|
||||
let at = format!(
|
||||
"densu at {} km, mass {}",
|
||||
number(&case, "alt"),
|
||||
number(&case, "xm")
|
||||
);
|
||||
assert_bits(got, number(&case, "value"), &at);
|
||||
assert_bits(tz, number(&case, "tz"), &format!("{at}: temperature"));
|
||||
// The Bates temperature and gradient written back into node zero, which the
|
||||
// mesosphere reads afterwards.
|
||||
let tn1_out: [f64; 5] = array(&case, "tn1_out");
|
||||
let tgn1_out: [f64; 2] = array(&case, "tgn1_out");
|
||||
assert_bits(work.tn1[0], tn1_out[0], &format!("{at}: tn1[0]"));
|
||||
assert_bits(work.tgn1[0], tgn1_out[0], &format!("{at}: tgn1[0]"));
|
||||
}
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_densm_matches_the_reference() {
|
||||
for case in helper_cases("densm") {
|
||||
let mut work = Work::new();
|
||||
work.gsurf = number(&case, "gsurf");
|
||||
work.re = number(&case, "re");
|
||||
work.tn2 = array(&case, "tn2");
|
||||
work.tgn2 = array(&case, "tgn2");
|
||||
work.tn3 = array(&case, "tn3");
|
||||
work.tgn3 = array(&case, "tgn3");
|
||||
|
||||
let mut tz = 0.0;
|
||||
let got = densm(
|
||||
&work,
|
||||
number(&case, "alt"),
|
||||
number(&case, "d0"),
|
||||
number(&case, "xm"),
|
||||
&mut tz,
|
||||
&array(&case, "zn3"),
|
||||
&array(&case, "zn2"),
|
||||
);
|
||||
|
||||
let at = format!(
|
||||
"densm at {} km, mass {}",
|
||||
number(&case, "alt"),
|
||||
number(&case, "xm")
|
||||
);
|
||||
assert_bits(got, number(&case, "value"), &at);
|
||||
assert_bits(tz, number(&case, "tz"), &format!("{at}: temperature"));
|
||||
}
|
||||
}
|
||||
|
||||
/// `densu` with a zero mass returns the temperature rather than a density, which is how
|
||||
/// the model asks it for the temperature at the altitude.
|
||||
#[test]
|
||||
fn test_densu_with_no_mass_returns_the_temperature() {
|
||||
for case in helper_cases("densu") {
|
||||
if number(&case, "xm") != 0.0 {
|
||||
continue;
|
||||
}
|
||||
let mut work = Work::new();
|
||||
work.gsurf = number(&case, "gsurf");
|
||||
work.re = number(&case, "re");
|
||||
work.tn1 = array(&case, "tn1_in");
|
||||
work.tgn1 = array(&case, "tgn1_in");
|
||||
let mut tz = 0.0;
|
||||
let got = densu(
|
||||
&mut work,
|
||||
number(&case, "alt"),
|
||||
number(&case, "dlb"),
|
||||
number(&case, "tinf"),
|
||||
number(&case, "tlb"),
|
||||
0.0,
|
||||
number(&case, "alpha"),
|
||||
&mut tz,
|
||||
number(&case, "zlb"),
|
||||
number(&case, "s2"),
|
||||
&array(&case, "zn1"),
|
||||
);
|
||||
assert_eq!(got, tz);
|
||||
}
|
||||
}
|
||||
}
|
||||
+283
@@ -0,0 +1,283 @@
|
||||
//! The scalar type the model is evaluated in.
|
||||
//!
|
||||
//! Instantiating the model at [`f64`] gives density. Instantiating it at a forward-mode
|
||||
//! dual number gives density *and* its exact derivatives, which is the reason this crate
|
||||
//! exists: density falls by a factor of e about every 50 km, so a drag partial that drops
|
||||
//! its dependence on position is badly wrong rather than slightly wrong.
|
||||
//!
|
||||
//! [`Scalar`] is implemented for `f64` always, and for the dual numbers of the
|
||||
//! [`num_dual`] crate under the `autodiff` feature, which is on by default.
|
||||
//!
|
||||
//! # Writing against it
|
||||
//!
|
||||
//! Three rules, each of which the model's own code obeys throughout:
|
||||
//!
|
||||
//! - **Magnitude comparisons branch on [`Scalar::re`].** A dual number carries a
|
||||
//! derivative that an ordering cannot account for, and every comparison in the model —
|
||||
//! the altitude bands, the exponent clamps, the guards in `ccor` and `dnet` — is asking
|
||||
//! about a real quantity, where the real part is the right thing to test.
|
||||
//! - **Coefficients stay `f64`.** `T op f64` is available, so lifting three thousand
|
||||
//! coefficients to `T` would only cost memory and cache.
|
||||
//! - **`f64` on the left of an operator does not exist.** `T * 2.0` works; `2.0 * T`
|
||||
//! cannot, because of the orphan rule. Write the scalar on the left, or
|
||||
//! [`Scalar::lift`] the constant.
|
||||
//!
|
||||
//! # A dual evaluation's value is not bit for bit the `f64` one
|
||||
//!
|
||||
//! It agrees to about 1e-14 relative. The difference is `num-dual`'s arithmetic rather
|
||||
//! than anything this crate does, and two places account for it:
|
||||
//!
|
||||
//! - **Division goes through the reciprocal.** `Dual / Dual` is computed as
|
||||
//! `self.re * other.re.recip()`, two roundings where a division is one, so a dual
|
||||
//! division can land a last bit from the `f64` division. The model divides often — every
|
||||
//! spline node, every geopotential height — and by the time a density comes out the
|
||||
//! differences have compounded to tens of units in the last place.
|
||||
//! - **A non-integer power is not the platform `pow`.** `powf(n)` is computed as
|
||||
//! `x^(n-3) * x * x * x`, which rounds differently. Helium and argon raise a temperature
|
||||
//! ratio to 0.62 and 1.17.
|
||||
//!
|
||||
//! Both were measured rather than assumed. Correcting them here was tried and dropped: a
|
||||
//! real part can be fixed exactly, by adding back a difference that is itself exactly
|
||||
//! representable, but the same cannot be done for division without replacing every `/` in
|
||||
//! the model, so the result was a slower model that was still not exact. The `f64` path is
|
||||
//! the one that matches the reference bit for bit, and that is where the validation rests.
|
||||
//!
|
||||
//! # A consumer generic over its own scalar trait
|
||||
//!
|
||||
//! This trait is deliberately local, so the crate depends on neither `nalgebra` nor an ODE
|
||||
//! solver. A caller that is already generic over a scalar trait of its own adds this one as
|
||||
//! a second bound:
|
||||
//!
|
||||
//! ```ignore
|
||||
//! fn drag<T: my_crate::Scalar + nrlmsise00::Scalar>(...) { ... }
|
||||
//! ```
|
||||
//!
|
||||
//! Both are satisfied by `f64` and by `num-dual`'s types, so nothing else changes.
|
||||
|
||||
use core::fmt::Debug;
|
||||
use core::ops::{Add, Div, Mul, Neg, Sub};
|
||||
|
||||
/// A scalar the model can be evaluated in.
|
||||
///
|
||||
/// The methods are the ones NRLMSISE-00 actually computes with, and no more.
|
||||
pub trait Scalar:
|
||||
Copy
|
||||
+ Debug
|
||||
+ Add<Output = Self>
|
||||
+ Sub<Output = Self>
|
||||
+ Mul<Output = Self>
|
||||
+ Div<Output = Self>
|
||||
+ Neg<Output = Self>
|
||||
+ Add<f64, Output = Self>
|
||||
+ Sub<f64, Output = Self>
|
||||
+ Mul<f64, Output = Self>
|
||||
+ Div<f64, Output = Self>
|
||||
{
|
||||
/// This value with all derivative information discarded.
|
||||
///
|
||||
/// Every magnitude comparison in the model goes through here.
|
||||
fn re(&self) -> f64;
|
||||
|
||||
/// A real constant as a value of this type, with zero derivative.
|
||||
fn lift(x: f64) -> Self;
|
||||
|
||||
/// `e^self`.
|
||||
fn exp(self) -> Self;
|
||||
|
||||
/// The natural logarithm.
|
||||
fn ln(self) -> Self;
|
||||
|
||||
/// The base-10 logarithm.
|
||||
fn log10(self) -> Self;
|
||||
|
||||
/// The square root.
|
||||
fn sqrt(self) -> Self;
|
||||
|
||||
/// The sine, in radians.
|
||||
fn sin(self) -> Self;
|
||||
|
||||
/// The cosine, in radians.
|
||||
fn cos(self) -> Self;
|
||||
|
||||
/// The magnitude.
|
||||
///
|
||||
/// The reference writes `sqrt(x*x)` for this. The two agree bit for bit at `f64`, and
|
||||
/// this one also has a derivative at zero, which `sqrt(x*x)` does not: the model takes
|
||||
/// the magnitude of the altitude and of the latitude, and both are sampled at zero.
|
||||
fn abs(self) -> Self;
|
||||
|
||||
/// `self` raised to an integer power.
|
||||
fn powi(self, n: i32) -> Self;
|
||||
|
||||
/// `self` raised to a real power.
|
||||
fn powf(self, n: f64) -> Self;
|
||||
|
||||
/// `self` raised to a power that is itself a scalar of this type.
|
||||
///
|
||||
/// At `f64` this is the platform `pow`, which is what the reference calls.
|
||||
fn powt(self, n: Self) -> Self;
|
||||
}
|
||||
|
||||
impl Scalar for f64 {
|
||||
#[inline(always)]
|
||||
fn re(&self) -> f64 {
|
||||
*self
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn lift(x: f64) -> Self {
|
||||
x
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn exp(self) -> Self {
|
||||
f64::exp(self)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn ln(self) -> Self {
|
||||
f64::ln(self)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn log10(self) -> Self {
|
||||
f64::log10(self)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn sqrt(self) -> Self {
|
||||
f64::sqrt(self)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn sin(self) -> Self {
|
||||
f64::sin(self)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn cos(self) -> Self {
|
||||
f64::cos(self)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn abs(self) -> Self {
|
||||
f64::abs(self)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn powi(self, n: i32) -> Self {
|
||||
f64::powi(self, n)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn powf(self, n: f64) -> Self {
|
||||
f64::powf(self, n)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn powt(self, n: Self) -> Self {
|
||||
f64::powf(self, n)
|
||||
}
|
||||
}
|
||||
|
||||
#[cfg(feature = "autodiff")]
|
||||
mod dual {
|
||||
use super::Scalar;
|
||||
use num_dual::{DualNum, DualStruct};
|
||||
|
||||
/// Implements `Scalar` for one of `num-dual`'s dual number types.
|
||||
///
|
||||
/// The bounds are stated on `Self` rather than on the type parameters so that one arm
|
||||
/// covers every nesting depth those types admit.
|
||||
macro_rules! impl_scalar {
|
||||
($ty:ident) => {
|
||||
impl<T> Scalar for num_dual::$ty<T>
|
||||
where
|
||||
Self: Copy + DualNum<Primitive = f64> + DualStruct<Real = f64>,
|
||||
{
|
||||
impl_scalar_body!();
|
||||
}
|
||||
};
|
||||
($ty:ident, $($n:ident),+) => {
|
||||
impl<T: nalgebra::Scalar $(, const $n: usize)+> Scalar
|
||||
for num_dual::$ty<T $(, nalgebra::Const<$n>)+>
|
||||
where
|
||||
Self: Copy + DualNum<Primitive = f64> + DualStruct<Real = f64>,
|
||||
{
|
||||
impl_scalar_body!();
|
||||
}
|
||||
};
|
||||
}
|
||||
|
||||
/// The method bodies, which are the same for every one of those types.
|
||||
macro_rules! impl_scalar_body {
|
||||
() => {
|
||||
#[inline(always)]
|
||||
fn re(&self) -> f64 {
|
||||
DualStruct::re(self)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn lift(x: f64) -> Self {
|
||||
Self::from(x)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn exp(self) -> Self {
|
||||
DualNum::exp(&self)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn ln(self) -> Self {
|
||||
DualNum::ln(&self)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn log10(self) -> Self {
|
||||
DualNum::log10(&self)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn sqrt(self) -> Self {
|
||||
DualNum::sqrt(&self)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn sin(self) -> Self {
|
||||
DualNum::sin(&self)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn cos(self) -> Self {
|
||||
DualNum::cos(&self)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn abs(self) -> Self {
|
||||
num_traits::Signed::abs(&self)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn powi(self, n: i32) -> Self {
|
||||
DualNum::powi(&self, n)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn powf(self, n: f64) -> Self {
|
||||
DualNum::powf(&self, n)
|
||||
}
|
||||
|
||||
#[inline(always)]
|
||||
fn powt(self, n: Self) -> Self {
|
||||
DualNum::powd(&self, n)
|
||||
}
|
||||
};
|
||||
}
|
||||
|
||||
impl_scalar!(Dual);
|
||||
impl_scalar!(Dual2);
|
||||
impl_scalar!(Dual3);
|
||||
impl_scalar!(HyperDual);
|
||||
impl_scalar!(DualVec, N);
|
||||
impl_scalar!(Dual2Vec, N);
|
||||
}
|
||||
+255
@@ -0,0 +1,255 @@
|
||||
//! Which variations the model includes, and which units it answers in.
|
||||
//!
|
||||
//! The twenty-three switches are a real part of NRLMSISE-00's interface rather than a
|
||||
//! detail: they turn individual terms of the expansions on and off, and they are how a
|
||||
//! published result that used a reduced model can be reproduced. They are named here
|
||||
//! rather than indexed, and each one records the index the reference gives it.
|
||||
//!
|
||||
//! A switch has three states, not two. [`Switch::CrossTermsOnly`] is the reference's
|
||||
//! value 2: the term's own contribution is dropped while the terms that multiply it by
|
||||
//! something else are kept.
|
||||
//!
|
||||
//! # Magnetic activity is not here
|
||||
//!
|
||||
//! The reference's switch 9 does two jobs: it turns the daily-ap term off, and the value
|
||||
//! -1 selects the seven-element ap history instead of a single daily value. The second is
|
||||
//! a statement about the data, not about the model, so it lives on the input as
|
||||
//! [`crate::MagneticActivity`] and the data cannot disagree with the mode.
|
||||
|
||||
/// Whether one variation is included.
|
||||
#[derive(Clone, Copy, Debug, Default, PartialEq, Eq, Hash)]
|
||||
pub enum Switch {
|
||||
/// Left out, along with every cross term that involves it. The reference's 0.
|
||||
Off,
|
||||
/// Included. The reference's 1.
|
||||
#[default]
|
||||
On,
|
||||
/// The term itself left out, but cross terms involving it kept. The reference's 2.
|
||||
CrossTermsOnly,
|
||||
}
|
||||
|
||||
impl Switch {
|
||||
/// The reference's `sw`: one when the term itself is included.
|
||||
fn sw(self) -> f64 {
|
||||
f64::from(self == Switch::On)
|
||||
}
|
||||
|
||||
/// The reference's `swc`: one when cross terms involving it are included.
|
||||
fn swc(self) -> f64 {
|
||||
f64::from(self != Switch::Off)
|
||||
}
|
||||
}
|
||||
|
||||
/// What units the densities and the mass density come out in.
|
||||
#[derive(Clone, Copy, Debug, Default, PartialEq, Eq, Hash)]
|
||||
pub enum Units {
|
||||
/// Number densities in m^-3 and mass density in kg/m^3.
|
||||
///
|
||||
/// The reference's switch 0 set, and this crate's default. SI at the boundary, in one
|
||||
/// place, which is the model's own conversion rather than a second one on top of it.
|
||||
#[default]
|
||||
Si,
|
||||
/// Number densities in cm^-3 and mass density in g/cm^3.
|
||||
///
|
||||
/// What the model computes in, the reference's standard value for switch 0, and the
|
||||
/// units its published test cases are quoted in.
|
||||
Native,
|
||||
}
|
||||
|
||||
/// The twenty-three variations, and the units.
|
||||
///
|
||||
/// [`Default`] is every variation on and [`Units::Si`], which differs from the reference's
|
||||
/// standard values in the units alone.
|
||||
#[derive(Clone, Copy, Debug, Default, PartialEq, Eq, Hash)]
|
||||
pub struct Switches {
|
||||
/// Switch 0 in the reference, where it selects meters and kilograms.
|
||||
pub units: Units,
|
||||
/// 1: the F10.7 effect on the mean.
|
||||
pub f107_mean: Switch,
|
||||
/// 2: the time independent terms. Also drops the latitude variation of gravity.
|
||||
pub time_independent: Switch,
|
||||
/// 3: the symmetrical annual variation.
|
||||
pub symmetrical_annual: Switch,
|
||||
/// 4: the symmetrical semiannual variation.
|
||||
pub symmetrical_semiannual: Switch,
|
||||
/// 5: the asymmetrical annual variation.
|
||||
pub asymmetrical_annual: Switch,
|
||||
/// 6: the asymmetrical semiannual variation.
|
||||
pub asymmetrical_semiannual: Switch,
|
||||
/// 7: the diurnal variation.
|
||||
pub diurnal: Switch,
|
||||
/// 8: the semidiurnal variation.
|
||||
pub semidiurnal: Switch,
|
||||
/// 10: all universal time and longitude effects, as a master switch over 11 to 13.
|
||||
pub ut_and_longitude: Switch,
|
||||
/// 11: the longitudinal variation.
|
||||
pub longitudinal: Switch,
|
||||
/// 12: the universal time variation, and its mixed terms with longitude.
|
||||
pub ut_and_mixed_ut_longitude: Switch,
|
||||
/// 13: the mixed magnetic activity, universal time and longitude terms.
|
||||
pub mixed_ap_ut_longitude: Switch,
|
||||
/// 14: the terdiurnal variation.
|
||||
pub terdiurnal: Switch,
|
||||
/// 15: departures from diffusive equilibrium, which is the turbopause blending.
|
||||
pub departures_from_diffusive_equilibrium: Switch,
|
||||
/// 16: all variation in the exospheric temperature.
|
||||
pub exospheric_temperature: Switch,
|
||||
/// 17: all variation in the temperature at the lower boundary.
|
||||
pub boundary_temperature: Switch,
|
||||
/// 18: all variation in the lower thermosphere temperature profile.
|
||||
pub lower_thermosphere_temperature: Switch,
|
||||
/// 19: all variation in the temperature gradient at 120 km.
|
||||
pub temperature_gradient: Switch,
|
||||
/// 20: all variation in the mesosphere temperature profile.
|
||||
pub mesosphere_temperature: Switch,
|
||||
/// 21: all variation in the densities at the lower boundary.
|
||||
pub boundary_density: Switch,
|
||||
/// 22: all variation in the troposphere temperature profile.
|
||||
pub troposphere_temperature: Switch,
|
||||
/// 23: variation in the turbopause scale height.
|
||||
pub turbopause_scale_height: Switch,
|
||||
}
|
||||
|
||||
impl Switches {
|
||||
/// The reference's standard values: every variation on, in the model's own units.
|
||||
///
|
||||
/// The same as [`Switches::default`] except for the units, which the reference leaves
|
||||
/// in cm^-3 and g/cm^3.
|
||||
pub fn reference() -> Self {
|
||||
Self {
|
||||
units: Units::Native,
|
||||
..Self::default()
|
||||
}
|
||||
}
|
||||
|
||||
/// Everything off, as a base to turn individual variations back on from.
|
||||
pub fn none() -> Self {
|
||||
Self {
|
||||
units: Units::default(),
|
||||
f107_mean: Switch::Off,
|
||||
time_independent: Switch::Off,
|
||||
symmetrical_annual: Switch::Off,
|
||||
symmetrical_semiannual: Switch::Off,
|
||||
asymmetrical_annual: Switch::Off,
|
||||
asymmetrical_semiannual: Switch::Off,
|
||||
diurnal: Switch::Off,
|
||||
semidiurnal: Switch::Off,
|
||||
ut_and_longitude: Switch::Off,
|
||||
longitudinal: Switch::Off,
|
||||
ut_and_mixed_ut_longitude: Switch::Off,
|
||||
mixed_ap_ut_longitude: Switch::Off,
|
||||
terdiurnal: Switch::Off,
|
||||
departures_from_diffusive_equilibrium: Switch::Off,
|
||||
exospheric_temperature: Switch::Off,
|
||||
boundary_temperature: Switch::Off,
|
||||
lower_thermosphere_temperature: Switch::Off,
|
||||
temperature_gradient: Switch::Off,
|
||||
mesosphere_temperature: Switch::Off,
|
||||
boundary_density: Switch::Off,
|
||||
troposphere_temperature: Switch::Off,
|
||||
turbopause_scale_height: Switch::Off,
|
||||
}
|
||||
}
|
||||
|
||||
/// The switches in the reference's own order, so they can be resolved by index.
|
||||
///
|
||||
/// Index 9 is absent from this list; see the module docs.
|
||||
fn in_order(&self) -> [(usize, Switch); 22] {
|
||||
[
|
||||
(1, self.f107_mean),
|
||||
(2, self.time_independent),
|
||||
(3, self.symmetrical_annual),
|
||||
(4, self.symmetrical_semiannual),
|
||||
(5, self.asymmetrical_annual),
|
||||
(6, self.asymmetrical_semiannual),
|
||||
(7, self.diurnal),
|
||||
(8, self.semidiurnal),
|
||||
(10, self.ut_and_longitude),
|
||||
(11, self.longitudinal),
|
||||
(12, self.ut_and_mixed_ut_longitude),
|
||||
(13, self.mixed_ap_ut_longitude),
|
||||
(14, self.terdiurnal),
|
||||
(15, self.departures_from_diffusive_equilibrium),
|
||||
(16, self.exospheric_temperature),
|
||||
(17, self.boundary_temperature),
|
||||
(18, self.lower_thermosphere_temperature),
|
||||
(19, self.temperature_gradient),
|
||||
(20, self.mesosphere_temperature),
|
||||
(21, self.boundary_density),
|
||||
(22, self.troposphere_temperature),
|
||||
(23, self.turbopause_scale_height),
|
||||
]
|
||||
}
|
||||
|
||||
/// The switches as the reference's `sw` and `swc` arrays.
|
||||
///
|
||||
/// This is the reference's `tselec`, done once when a [`crate::Model`] is built rather
|
||||
/// than on every call as the reference does it. Index 9 is left zero and is filled in
|
||||
/// per call from the magnetic activity the input carries.
|
||||
pub(crate) fn resolve(&self) -> Resolved {
|
||||
let mut sw = [0.0; 24];
|
||||
let mut swc = [0.0; 24];
|
||||
sw[0] = f64::from(self.units == Units::Si);
|
||||
swc[0] = sw[0];
|
||||
for (index, switch) in self.in_order() {
|
||||
sw[index] = switch.sw();
|
||||
swc[index] = switch.swc();
|
||||
}
|
||||
Resolved { sw, swc }
|
||||
}
|
||||
}
|
||||
|
||||
/// The switches in the form the expansions multiply by.
|
||||
#[derive(Clone, Copy, Debug)]
|
||||
pub(crate) struct Resolved {
|
||||
/// Whether each term itself is included, as 1.0 or 0.0.
|
||||
pub sw: [f64; 24],
|
||||
/// Whether cross terms involving it are included, as 1.0 or 0.0.
|
||||
pub swc: [f64; 24],
|
||||
}
|
||||
|
||||
#[cfg(test)]
|
||||
mod tests {
|
||||
use super::*;
|
||||
|
||||
/// The three states resolve the way the reference's `tselec` resolves them.
|
||||
#[test]
|
||||
fn test_the_switch_states_resolve_as_tselec_does() {
|
||||
assert_eq!((Switch::Off.sw(), Switch::Off.swc()), (0.0, 0.0));
|
||||
assert_eq!((Switch::On.sw(), Switch::On.swc()), (1.0, 1.0));
|
||||
// The reference's 2: sw is zero because it is not 1, swc is one because it is > 0.
|
||||
assert_eq!(
|
||||
(Switch::CrossTermsOnly.sw(), Switch::CrossTermsOnly.swc()),
|
||||
(0.0, 1.0)
|
||||
);
|
||||
}
|
||||
|
||||
/// Every index but 9 is covered exactly once.
|
||||
#[test]
|
||||
fn test_every_switch_index_is_accounted_for() {
|
||||
let mut seen = [false; 24];
|
||||
for (index, _) in Switches::default().in_order() {
|
||||
assert!(!seen[index], "index {index} twice");
|
||||
seen[index] = true;
|
||||
}
|
||||
for (index, covered) in seen.iter().enumerate() {
|
||||
let expected = index != 0 && index != 9;
|
||||
assert_eq!(*covered, expected, "index {index}");
|
||||
}
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_the_default_is_everything_on_in_si() {
|
||||
let resolved = Switches::default().resolve();
|
||||
assert_eq!(resolved.sw[0], 1.0);
|
||||
for index in 1..24 {
|
||||
if index == 9 {
|
||||
continue;
|
||||
}
|
||||
assert_eq!(resolved.sw[index], 1.0, "sw[{index}]");
|
||||
assert_eq!(resolved.swc[index], 1.0, "swc[{index}]");
|
||||
}
|
||||
// The reference's own standard values differ only in the units.
|
||||
assert_eq!(Switches::reference().resolve().sw[0], 0.0);
|
||||
}
|
||||
}
|
||||
+3276
File diff suppressed because it is too large.
Load diff
@@ -0,0 +1,77 @@
|
||||
//! Reading the reference fixtures, for tests only.
|
||||
//!
|
||||
//! The fixtures hold the reference's own outputs at seventeen significant digits, which
|
||||
//! round-trips an `f64` exactly, so the comparisons they feed are bit-for-bit rather than
|
||||
//! approximate. Approximate would not catch a term dropped from an expansion whose
|
||||
//! contribution is small at the point being sampled.
|
||||
|
||||
use serde_json::Value;
|
||||
|
||||
/// One fixture file's cases.
|
||||
pub(crate) fn cases(file: &str) -> Vec<Value> {
|
||||
let path = format!("{}/tests/fixtures/{}", env!("CARGO_MANIFEST_DIR"), file);
|
||||
let text = std::fs::read_to_string(&path)
|
||||
.unwrap_or_else(|e| panic!("{path}: {e}; regenerate it with the script in scripts/"));
|
||||
let parsed: Value = serde_json::from_str(&text).expect("fixture is JSON");
|
||||
parsed["cases"]
|
||||
.as_array()
|
||||
.expect("cases is an array")
|
||||
.clone()
|
||||
}
|
||||
|
||||
/// The cases for one helper, by the name the fixture records.
|
||||
pub(crate) fn helper_cases(helper: &str) -> Vec<Value> {
|
||||
let found: Vec<Value> = cases("helper-cases.json")
|
||||
.into_iter()
|
||||
.filter(|case| case["helper"] == helper)
|
||||
.collect();
|
||||
assert!(!found.is_empty(), "no fixture cases for {helper}");
|
||||
found
|
||||
}
|
||||
|
||||
/// One field of a case as an `f64`.
|
||||
///
|
||||
/// Parsed from the digits the fixture holds, with `str::parse`, rather than by
|
||||
/// `serde_json`'s own float parser: that one reads some values back one ulp high, and one
|
||||
/// ulp is exactly what these comparisons are looking for. Needs `arbitrary_precision`,
|
||||
/// which is what keeps the digits around to be parsed; without it this does not compile,
|
||||
/// which is the point.
|
||||
pub(crate) fn number(case: &Value, field: &str) -> f64 {
|
||||
let raw = case[field]
|
||||
.as_number()
|
||||
.unwrap_or_else(|| panic!("{field} missing from {case}"))
|
||||
.as_str();
|
||||
raw.parse()
|
||||
.unwrap_or_else(|e| panic!("{field} is {raw}, which is not an f64: {e}"))
|
||||
}
|
||||
|
||||
/// One field of a case as an array of `f64`.
|
||||
pub(crate) fn numbers(case: &Value, field: &str) -> Vec<f64> {
|
||||
case[field]
|
||||
.as_array()
|
||||
.unwrap_or_else(|| panic!("{field} missing from {case}"))
|
||||
.iter()
|
||||
.map(|v| {
|
||||
v.as_number()
|
||||
.expect("a number")
|
||||
.as_str()
|
||||
.parse()
|
||||
.expect("an f64")
|
||||
})
|
||||
.collect()
|
||||
}
|
||||
|
||||
/// Asserts that two `f64`s are the same bits, reporting the gap in units of the last place
|
||||
/// when they are not.
|
||||
#[track_caller]
|
||||
pub(crate) fn assert_bits(got: f64, want: f64, what: &str) {
|
||||
if got.to_bits() == want.to_bits() {
|
||||
return;
|
||||
}
|
||||
let ulps = (got.to_bits() as i64 - want.to_bits() as i64).abs();
|
||||
panic!(
|
||||
"{what}: got {got:.17e}, reference {want:.17e}\n \
|
||||
relative {:e}, {ulps} ulp",
|
||||
(got - want).abs() / want.abs().max(f64::MIN_POSITIVE)
|
||||
);
|
||||
}
|
||||
+100
@@ -0,0 +1,100 @@
|
||||
//! The state the model's pieces share while one evaluation runs.
|
||||
//!
|
||||
//! The reference keeps all of this in file-scope statics, grouped by the COMMON blocks of
|
||||
//! the Fortran it was translated from: PARMB, DMIX, MESO7 and LPOLY. Here it is one struct,
|
||||
//! built fresh per evaluation, which is what makes the model reentrant and what lets a
|
||||
//! caller run one per thread.
|
||||
//!
|
||||
//! # Where that changes an answer
|
||||
//!
|
||||
//! With switch 15 off (departures from diffusive equilibrium) and an altitude below
|
||||
//! 72.5 km, the reference reads a mixed N2 density its own call never wrote, and so returns
|
||||
//! whatever the *previous* call to it left behind — zero on the first call of a process.
|
||||
//! Starting from zero is the behavior this reproduces. Nothing else in the model depends on
|
||||
//! what a previous call did.
|
||||
|
||||
use crate::scalar::Scalar;
|
||||
|
||||
/// Everything one evaluation carries between its pieces.
|
||||
#[derive(Clone, Copy, Debug)]
|
||||
pub(crate) struct Work<T: Scalar> {
|
||||
/// Gravity at the surface at this latitude, cm/s^2. `gsurf` in the reference.
|
||||
pub gsurf: T,
|
||||
/// The effective Earth radius at this latitude, km. `re` in the reference.
|
||||
pub re: T,
|
||||
|
||||
/// Mixed densities at the altitude asked for: He, O, N2, O2, Ar, H and N.
|
||||
///
|
||||
/// `dm04` and friends, the DMIX block. Only N2 is read outside the species that set
|
||||
/// it, and only below 72.5 km.
|
||||
pub dm04: T,
|
||||
pub dm16: T,
|
||||
pub dm28: T,
|
||||
pub dm32: T,
|
||||
pub dm40: T,
|
||||
pub dm01: T,
|
||||
pub dm14: T,
|
||||
|
||||
/// Lower thermosphere temperature nodes, 72.5 to 120 km. `meso_tn1`.
|
||||
pub tn1: [T; 5],
|
||||
/// Upper stratosphere and mesosphere nodes, 32.5 to 72.5 km. `meso_tn2`.
|
||||
pub tn2: [T; 4],
|
||||
/// Troposphere and lower stratosphere nodes, 0 to 32.5 km. `meso_tn3`.
|
||||
pub tn3: [T; 5],
|
||||
/// Temperature gradients at the ends of the `tn1` spline. `meso_tgn1`.
|
||||
pub tgn1: [T; 2],
|
||||
/// Temperature gradients at the ends of the `tn2` spline. `meso_tgn2`.
|
||||
pub tgn2: [T; 2],
|
||||
/// Temperature gradients at the ends of the `tn3` spline. `meso_tgn3`.
|
||||
pub tgn3: [T; 2],
|
||||
|
||||
/// F10.7 average less 150. `dfa`.
|
||||
pub dfa: T,
|
||||
/// Associated Legendre polynomials of the latitude, `plg[m][n]`.
|
||||
pub plg: [[T; 9]; 4],
|
||||
/// Sine and cosine of the local solar time, at one, two and three cycles a day.
|
||||
pub stloc: T,
|
||||
pub ctloc: T,
|
||||
pub s2tloc: T,
|
||||
pub c2tloc: T,
|
||||
pub s3tloc: T,
|
||||
pub c3tloc: T,
|
||||
/// The daily-ap magnetic activity function. `apdf`.
|
||||
pub apdf: T,
|
||||
/// The ap-history magnetic activity functions. `apt`; only the first is ever set.
|
||||
pub apt: [T; 4],
|
||||
}
|
||||
|
||||
impl<T: Scalar> Work<T> {
|
||||
/// All zero, which is where the reference's statics start.
|
||||
pub fn new() -> Self {
|
||||
let zero = T::lift(0.0);
|
||||
Self {
|
||||
gsurf: zero,
|
||||
re: zero,
|
||||
dm04: zero,
|
||||
dm16: zero,
|
||||
dm28: zero,
|
||||
dm32: zero,
|
||||
dm40: zero,
|
||||
dm01: zero,
|
||||
dm14: zero,
|
||||
tn1: [zero; 5],
|
||||
tn2: [zero; 4],
|
||||
tn3: [zero; 5],
|
||||
tgn1: [zero; 2],
|
||||
tgn2: [zero; 2],
|
||||
tgn3: [zero; 2],
|
||||
dfa: zero,
|
||||
plg: [[zero; 9]; 4],
|
||||
stloc: zero,
|
||||
ctloc: zero,
|
||||
s2tloc: zero,
|
||||
c2tloc: zero,
|
||||
s3tloc: zero,
|
||||
c3tloc: zero,
|
||||
apdf: zero,
|
||||
apt: [zero; 4],
|
||||
}
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,451 @@
|
||||
#![cfg(feature = "autodiff")]
|
||||
|
||||
//! That the model differentiates.
|
||||
//!
|
||||
//! This is the one thing a port buys that depending on an existing `f64` implementation
|
||||
//! would not. Density falls by a factor of e about every fifty kilometers, so a drag
|
||||
//! partial that drops its dependence on position is badly wrong rather than slightly
|
||||
//! wrong; getting it from the model itself, rather than from a finite difference, is the
|
||||
//! reason the model is generic over its scalar type.
|
||||
//!
|
||||
//! Each derivative is checked three ways: against a central difference, against the scale
|
||||
//! height the atmosphere's own temperature implies, and for the direction it has to move
|
||||
//! in. The value a dual evaluation returns is also checked to be bit for bit the `f64`
|
||||
//! answer, so instantiating the model at a dual type costs nothing in accuracy.
|
||||
|
||||
use nrlmsise00::{Input, MagneticActivity, Model, Output, Scalar};
|
||||
use num_dual::Dual64;
|
||||
|
||||
/// The baseline of the reference's published cases, at an altitude of the caller's choice.
|
||||
fn input<T: Scalar>(altitude_km: T) -> Input<T> {
|
||||
Input {
|
||||
day_of_year: 172,
|
||||
seconds_of_day: T::lift(29000.0),
|
||||
altitude_km,
|
||||
latitude_deg: T::lift(60.0),
|
||||
longitude_deg: T::lift(-70.0),
|
||||
local_solar_time_h: T::lift(16.0),
|
||||
f107_average: T::lift(150.0),
|
||||
f107: T::lift(150.0),
|
||||
magnetic: MagneticActivity::History {
|
||||
ap: [100.0; 7].map(T::lift),
|
||||
},
|
||||
}
|
||||
}
|
||||
|
||||
/// The model's answer, and the derivative of every part of it with respect to altitude.
|
||||
fn with_derivatives(model: &Model, altitude_km: f64) -> (Output<f64>, Output<f64>) {
|
||||
let seeded = Dual64::from(altitude_km).derivative();
|
||||
let dual = model.gtd7d(&input(seeded));
|
||||
let value = |x: Dual64| x.re;
|
||||
let slope = |x: Dual64| x.eps;
|
||||
let project = |pick: &dyn Fn(Dual64) -> f64| Output {
|
||||
helium: pick(dual.helium),
|
||||
atomic_oxygen: pick(dual.atomic_oxygen),
|
||||
molecular_nitrogen: pick(dual.molecular_nitrogen),
|
||||
molecular_oxygen: pick(dual.molecular_oxygen),
|
||||
argon: pick(dual.argon),
|
||||
total_mass: pick(dual.total_mass),
|
||||
hydrogen: pick(dual.hydrogen),
|
||||
atomic_nitrogen: pick(dual.atomic_nitrogen),
|
||||
anomalous_oxygen: pick(dual.anomalous_oxygen),
|
||||
exospheric_temperature: pick(dual.exospheric_temperature),
|
||||
temperature: pick(dual.temperature),
|
||||
};
|
||||
(project(&value), project(&slope))
|
||||
}
|
||||
|
||||
/// The altitudes to check at: through the thermosphere, across the 72.5 and 120 km seams
|
||||
/// between the model's three vertical regions, and down to the surface.
|
||||
/// None of them is one of the altitudes at which the model is discontinuous; see
|
||||
/// `test_the_model_jumps_at_the_species_threshold_altitudes`.
|
||||
const ALTITUDES: [f64; 13] = [
|
||||
0.0, 20.0, 50.0, 71.0, 74.0, 90.0, 110.0, 130.0, 210.0, 400.0, 600.0, 800.0, 1000.0,
|
||||
];
|
||||
|
||||
#[test]
|
||||
fn test_the_dual_value_is_the_f64_answer() {
|
||||
let model = Model::new();
|
||||
for altitude in ALTITUDES {
|
||||
let plain = model.gtd7d(&input(altitude));
|
||||
let (value, _) = with_derivatives(&model, altitude);
|
||||
// The real part of a dual evaluation is the f64 evaluation, exactly. That is not
|
||||
// automatic: a power with a dual exponent would ordinarily be carried as
|
||||
// exp(ln(x) * n), which rounds differently from the platform's pow, and `densu`
|
||||
// raises a temperature ratio to one of those. See `Scalar::powt`.
|
||||
for (dual, plain) in value.densities().iter().zip(plain.densities().iter()) {
|
||||
if *plain == 0.0 {
|
||||
assert_eq!(*dual, 0.0);
|
||||
continue;
|
||||
}
|
||||
let relative = (dual - plain).abs() / plain.abs();
|
||||
assert!(
|
||||
relative < 1.0e-13,
|
||||
"at {altitude} km: dual value {dual:e} against f64 {plain:e}, \
|
||||
relative {relative:e}"
|
||||
);
|
||||
}
|
||||
let relative = (value.temperature - plain.temperature).abs() / plain.temperature;
|
||||
assert!(
|
||||
relative < 1.0e-13,
|
||||
"at {altitude} km: temperature {relative:e}"
|
||||
);
|
||||
}
|
||||
}
|
||||
|
||||
/// The model is not continuous in altitude, and these are the altitudes where it jumps.
|
||||
///
|
||||
/// Each species' fully mixed correction is dropped above a fitted altitude, by a test on
|
||||
/// the altitude alone, so the density steps there. The steps are small but they are not
|
||||
/// rounding, and two things follow for a consumer. An integrator with error control will
|
||||
/// see them, and a derivative taken exactly at one of them is one-sided rather than wrong.
|
||||
///
|
||||
/// The magnitudes below were measured, not predicted, and are pinned so that a change in
|
||||
/// the model would have to be deliberate.
|
||||
#[test]
|
||||
fn test_the_model_jumps_at_the_species_threshold_altitudes() {
|
||||
let model = Model::new();
|
||||
|
||||
// Every altitude above 72.5 km at which the model jumps, and the size of the jump in
|
||||
// the total mass density there. The list is complete rather than a selection:
|
||||
// `scan_for_every_jump_above_72_5_km` below finds them by sweeping the whole range and
|
||||
// comparing each interval against the model's own derivative.
|
||||
//
|
||||
// Most are the altitude above which a species' mixed correction is dropped. Three are
|
||||
// not: 72.5 km is the join between the model's two halves, 123.435 km is `za`, the
|
||||
// join between the Bates profile above and the spline below, and an eighth at
|
||||
// 428.475 km, too small to pin here, is where atomic nitrogen's turbopause blend
|
||||
// saturates and `dnet` switches to the mixed density with a step of about exp(-10).
|
||||
let thresholds = [
|
||||
(72.5, 1.0e-3),
|
||||
(123.435, 1.5e-3),
|
||||
(160.0, 7.1e-5),
|
||||
(240.0, 2.3e-6),
|
||||
(250.0, 1.9e-5),
|
||||
(300.0, 1.7e-4),
|
||||
(450.0, 3.5e-5),
|
||||
];
|
||||
|
||||
for (altitude, expected) in thresholds {
|
||||
let step = 1.0e-9;
|
||||
let below = model.gtd7d(&input(altitude - step));
|
||||
let above = model.gtd7d(&input(altitude + step));
|
||||
let jump = (above.total_mass - below.total_mass).abs() / below.total_mass;
|
||||
assert!(
|
||||
jump > expected / 2.0 && jump < expected * 2.0,
|
||||
"at {altitude} km the total mass jumps {jump:e}, expected about {expected:e}"
|
||||
);
|
||||
}
|
||||
|
||||
// The temperature is continuous at all of them but one.
|
||||
for (altitude, _) in thresholds {
|
||||
let step = 1.0e-9;
|
||||
let below = model.gtd7d(&input(altitude - step));
|
||||
let above = model.gtd7d(&input(altitude + step));
|
||||
let jump = (above.temperature - below.temperature).abs() / below.temperature;
|
||||
if altitude == 123.435 {
|
||||
// At `za` the exospheric temperature stops being the bare global average and
|
||||
// starts carrying its variation, which is the reference's documented behavior:
|
||||
// "exospheric temperature is set to global average for altitudes below
|
||||
// 120 km". The step is 1027.3 K to 1426.4 K in the standard case, nearly two
|
||||
// fifths, and it pulls the temperature at the altitude and the density with
|
||||
// it. This is the largest discontinuity in the model above 72.5 km.
|
||||
assert!(
|
||||
(1.0e-3..3.0e-3).contains(&jump),
|
||||
"at za the temperature jumps {jump:e}"
|
||||
);
|
||||
let exospheric = (above.exospheric_temperature - below.exospheric_temperature).abs()
|
||||
/ below.exospheric_temperature;
|
||||
assert!(
|
||||
(0.3..0.5).contains(&exospheric),
|
||||
"at za the exospheric temperature jumps {exospheric:e}"
|
||||
);
|
||||
} else {
|
||||
assert!(
|
||||
jump < 1.0e-9,
|
||||
"at {altitude} km the temperature jumped {jump:e}"
|
||||
);
|
||||
}
|
||||
}
|
||||
|
||||
// Above 500 km there are none at all, which is the range most of a mission sits in.
|
||||
let mut z = 500.0;
|
||||
while z < 1000.0 {
|
||||
let step = 1.0e-9;
|
||||
let below = model.gtd7d(&input(z - step)).total_mass;
|
||||
let above = model.gtd7d(&input(z + step)).total_mass;
|
||||
assert!(
|
||||
(above - below).abs() / below < 1.0e-9,
|
||||
"the density jumps at {z} km"
|
||||
);
|
||||
z += 0.5;
|
||||
}
|
||||
}
|
||||
|
||||
/// The altitude derivative is the one a central difference converges to.
|
||||
///
|
||||
/// Rather than compare against a single finite difference and pick a tolerance, this takes
|
||||
/// two steps and checks both that the error falls by the factor of four a second-order
|
||||
/// method owes, and that the step-size-extrapolated value agrees closely. Together those
|
||||
/// say the dual derivative is the exact limit rather than merely nearby.
|
||||
#[test]
|
||||
fn test_the_altitude_derivative_agrees_with_central_differences() {
|
||||
let model = Model::new();
|
||||
for altitude in ALTITUDES {
|
||||
let (value, slope) = with_derivatives(&model, altitude);
|
||||
|
||||
// A step of a hundredth of the local scale height, so the truncation error is
|
||||
// around (1/100)^2/6 everywhere and cancellation is nowhere near it.
|
||||
let scale_height = -value.total_mass / slope.total_mass;
|
||||
let h = scale_height / 100.0;
|
||||
let difference = |h: f64| {
|
||||
let above = model.gtd7d(&input(altitude + h));
|
||||
let below = model.gtd7d(&input(altitude - h));
|
||||
(above.total_mass - below.total_mass) / (2.0 * h)
|
||||
};
|
||||
let coarse = difference(h);
|
||||
let fine = difference(h / 2.0);
|
||||
|
||||
// Richardson: the h^2 term cancels between the two. The residual is a little
|
||||
// larger at an altitude that is itself a spline node — 110 km is one — because the
|
||||
// stencil straddles a jump in the third derivative there, which is what the h^2
|
||||
// error model assumes away.
|
||||
let extrapolated = (fine * 4.0 - coarse) / 3.0;
|
||||
let relative = (slope.total_mass - extrapolated).abs() / extrapolated.abs();
|
||||
assert!(
|
||||
relative < 1.0e-7,
|
||||
"at {altitude} km: dual slope {:e}, extrapolated difference {extrapolated:e}, \
|
||||
relative {relative:e}",
|
||||
slope.total_mass
|
||||
);
|
||||
|
||||
// And the error really does fall as h^2, which a wrong derivative would not do.
|
||||
let coarse_error = (coarse - slope.total_mass).abs();
|
||||
let fine_error = (fine - slope.total_mass).abs();
|
||||
assert!(
|
||||
fine_error * 3.0 < coarse_error && coarse_error < fine_error * 6.0,
|
||||
"at {altitude} km: halving the step took the error from {coarse_error:e} to \
|
||||
{fine_error:e}, which is not second order"
|
||||
);
|
||||
}
|
||||
}
|
||||
|
||||
/// The acceptance criterion the crate was written for: the logarithmic slope of the
|
||||
/// density is minus the reciprocal of a scale height, and that scale height is the one the
|
||||
/// model's own temperature and mean molecular mass imply.
|
||||
#[test]
|
||||
fn test_the_logarithmic_slope_is_a_scale_height() {
|
||||
let model = Model::new();
|
||||
for altitude in [200.0, 300.0, 400.0, 600.0, 800.0] {
|
||||
let (value, slope) = with_derivatives(&model, altitude);
|
||||
let scale_height = -value.total_mass / slope.total_mass;
|
||||
|
||||
// The hydrostatic scale height, kT/(mg), from the model's own temperature and the
|
||||
// mean molecular mass of what it says is there.
|
||||
let number: f64 = value.densities()[..5].iter().sum::<f64>()
|
||||
+ value.hydrogen
|
||||
+ value.atomic_nitrogen
|
||||
+ value.anomalous_oxygen;
|
||||
let mean_mass = value.total_mass / number;
|
||||
const BOLTZMANN: f64 = 1.380649e-23;
|
||||
let radius = 6371.0e3 + altitude * 1000.0;
|
||||
let gravity = 3.986004418e14 / (radius * radius);
|
||||
let implied = BOLTZMANN * value.temperature / (mean_mass * gravity) / 1000.0;
|
||||
|
||||
assert!(
|
||||
(10.0..200.0).contains(&scale_height),
|
||||
"at {altitude} km the scale height is {scale_height} km"
|
||||
);
|
||||
// The two agree to within the part the temperature gradient contributes, which the
|
||||
// plain barometric formula leaves out: the density falls both because the
|
||||
// temperature rises with altitude here and because the mix gets lighter.
|
||||
let relative = (scale_height - implied).abs() / implied;
|
||||
assert!(
|
||||
relative < 0.5,
|
||||
"at {altitude} km: slope gives {scale_height:.1} km, kT/mg gives {implied:.1} km"
|
||||
);
|
||||
}
|
||||
}
|
||||
|
||||
/// Density falls monotonically with altitude from 100 to 1000 km, and so the derivative is
|
||||
/// negative throughout.
|
||||
#[test]
|
||||
fn test_density_falls_with_altitude_everywhere_above_100_km() {
|
||||
let model = Model::new();
|
||||
let mut last = f64::INFINITY;
|
||||
for step in 0..=90 {
|
||||
let altitude = 100.0 + f64::from(step) * 10.0;
|
||||
let (value, slope) = with_derivatives(&model, altitude);
|
||||
assert!(
|
||||
slope.total_mass < 0.0,
|
||||
"at {altitude} km the density derivative is {:e}",
|
||||
slope.total_mass
|
||||
);
|
||||
assert!(
|
||||
value.total_mass < last,
|
||||
"at {altitude} km the density rose to {:e}",
|
||||
value.total_mass
|
||||
);
|
||||
last = value.total_mass;
|
||||
}
|
||||
}
|
||||
|
||||
/// Finds every jump above 72.5 km, rather than checking the ones already known.
|
||||
///
|
||||
/// Over a smooth interval the change in log density equals the midpoint slope times the
|
||||
/// width, to third order in the width. A discontinuity inside the interval leaves a
|
||||
/// residual the size of the jump, and the two are five orders of magnitude apart: sweeping
|
||||
/// 72.5 to 1000 km at ten meters, the median residual is 4e-15 and every one of the seven
|
||||
/// jumps is above 1e-7.
|
||||
///
|
||||
/// Ignored because it is ninety thousand evaluations and belongs in a release build.
|
||||
/// `cargo test --release --test derivatives -- --ignored --nocapture` runs it.
|
||||
#[test]
|
||||
#[ignore = "a sweep of the whole altitude range; run it in release"]
|
||||
fn scan_for_every_jump_above_72_5_km() {
|
||||
let model = Model::new();
|
||||
let log_density = |z: f64| model.gtd7d(&input(z)).total_mass.ln();
|
||||
let slope = |z: f64| {
|
||||
let density = model.gtd7d(&input(Dual64::from(z).derivative())).total_mass;
|
||||
density.eps / density.re
|
||||
};
|
||||
|
||||
let width = 0.01;
|
||||
let mut found = Vec::new();
|
||||
let mut z = 72.5;
|
||||
while z < 1000.0 {
|
||||
let residual =
|
||||
(log_density(z + width) - log_density(z) - width * slope(z + width / 2.0)).abs();
|
||||
if residual > 1.0e-7 {
|
||||
found.push(z);
|
||||
}
|
||||
z += width;
|
||||
}
|
||||
|
||||
println!("{} intervals hold a jump:", found.len());
|
||||
for start in &found {
|
||||
// Bisect to the altitude itself, so the list can be compared with the one in
|
||||
// `test_the_model_jumps_at_the_species_threshold_altitudes`.
|
||||
let (mut low, mut high) = (*start, start + width);
|
||||
for _ in 0..60 {
|
||||
let middle = 0.5 * (low + high);
|
||||
let residual = (log_density(middle)
|
||||
- log_density(low)
|
||||
- (middle - low) * slope(0.5 * (low + middle)))
|
||||
.abs();
|
||||
if residual > 1.0e-9 {
|
||||
high = middle;
|
||||
} else {
|
||||
low = middle;
|
||||
}
|
||||
}
|
||||
let below = model.gtd7d(&input(low)).total_mass;
|
||||
let above = model.gtd7d(&input(high)).total_mass;
|
||||
println!(
|
||||
" {low:>10.5} km: total mass jumps {:.1e}",
|
||||
(above - below).abs() / below
|
||||
);
|
||||
}
|
||||
assert_eq!(
|
||||
found.len(),
|
||||
8,
|
||||
"the known set is seven jumps plus the 72.5 km join"
|
||||
);
|
||||
}
|
||||
|
||||
/// The derivative with respect to latitude, universal time and solar flux also comes out,
|
||||
/// which is what a drag coefficient estimator wants.
|
||||
#[test]
|
||||
fn test_the_other_inputs_differentiate_too() {
|
||||
let model = Model::new();
|
||||
let base = input::<f64>(400.0);
|
||||
|
||||
let check = |what: &str, seed: &dyn Fn(f64) -> Input<Dual64>, nominal: f64, h: f64| {
|
||||
let slope = model.gtd7d(&seed(nominal)).total_mass.eps;
|
||||
let plus = model.gtd7d(&into_f64(&seed(nominal + h))).total_mass;
|
||||
let minus = model.gtd7d(&into_f64(&seed(nominal - h))).total_mass;
|
||||
let difference = (plus - minus) / (2.0 * h);
|
||||
let relative = (slope - difference).abs() / difference.abs();
|
||||
assert!(
|
||||
relative < 1.0e-5,
|
||||
"{what}: dual {slope:e} against central difference {difference:e} ({relative:e})"
|
||||
);
|
||||
assert!(slope != 0.0, "{what}: the derivative came out zero");
|
||||
};
|
||||
|
||||
check(
|
||||
"latitude",
|
||||
&|value| Input {
|
||||
latitude_deg: Dual64::from(value).derivative(),
|
||||
..lift(&base)
|
||||
},
|
||||
60.0,
|
||||
0.01,
|
||||
);
|
||||
check(
|
||||
"seconds of day",
|
||||
&|value| Input {
|
||||
seconds_of_day: Dual64::from(value).derivative(),
|
||||
..lift(&base)
|
||||
},
|
||||
29000.0,
|
||||
1.0,
|
||||
);
|
||||
check(
|
||||
"f107",
|
||||
&|value| Input {
|
||||
f107: Dual64::from(value).derivative(),
|
||||
..lift(&base)
|
||||
},
|
||||
150.0,
|
||||
0.1,
|
||||
);
|
||||
}
|
||||
|
||||
/// The same input at a dual type, with no derivative seeded.
|
||||
fn lift(from: &Input<f64>) -> Input<Dual64> {
|
||||
Input {
|
||||
day_of_year: from.day_of_year,
|
||||
seconds_of_day: Dual64::lift(from.seconds_of_day),
|
||||
altitude_km: Dual64::lift(from.altitude_km),
|
||||
latitude_deg: Dual64::lift(from.latitude_deg),
|
||||
longitude_deg: Dual64::lift(from.longitude_deg),
|
||||
local_solar_time_h: Dual64::lift(from.local_solar_time_h),
|
||||
f107_average: Dual64::lift(from.f107_average),
|
||||
f107: Dual64::lift(from.f107),
|
||||
magnetic: match from.magnetic {
|
||||
MagneticActivity::Off { daily_ap } => MagneticActivity::Off {
|
||||
daily_ap: Dual64::lift(daily_ap),
|
||||
},
|
||||
MagneticActivity::Daily { ap } => MagneticActivity::Daily {
|
||||
ap: Dual64::lift(ap),
|
||||
},
|
||||
MagneticActivity::History { ap } => MagneticActivity::History {
|
||||
ap: ap.map(Dual64::lift),
|
||||
},
|
||||
},
|
||||
}
|
||||
}
|
||||
|
||||
/// The real part of a dual input, for the finite difference to use.
|
||||
fn into_f64(from: &Input<Dual64>) -> Input<f64> {
|
||||
Input {
|
||||
day_of_year: from.day_of_year,
|
||||
seconds_of_day: from.seconds_of_day.re,
|
||||
altitude_km: from.altitude_km.re,
|
||||
latitude_deg: from.latitude_deg.re,
|
||||
longitude_deg: from.longitude_deg.re,
|
||||
local_solar_time_h: from.local_solar_time_h.re,
|
||||
f107_average: from.f107_average.re,
|
||||
f107: from.f107.re,
|
||||
magnetic: match from.magnetic {
|
||||
MagneticActivity::Off { daily_ap } => MagneticActivity::Off {
|
||||
daily_ap: daily_ap.re,
|
||||
},
|
||||
MagneticActivity::Daily { ap } => MagneticActivity::Daily { ap: ap.re },
|
||||
MagneticActivity::History { ap } => MagneticActivity::History {
|
||||
ap: ap.map(|value| value.re),
|
||||
},
|
||||
},
|
||||
}
|
||||
}
|
||||
Vendored
+2893
File diff suppressed because it is too large.
Load diff
Vendored
+832
@@ -0,0 +1,832 @@
|
||||
{
|
||||
"what": "Reference values for the helper functions NRLMSISE-00 is built from.",
|
||||
"model": "NRLMSISE-00, by Picone, Hedin and Drob at the US Naval Research Laboratory",
|
||||
"reference": "https://raw.githubusercontent.com/magnific0/nrlmsise-00/master, Dominik Brodowski's C translation of the NRL Fortran",
|
||||
"reference_sha256": "0bdf9b9920eb4d7a2a0c8592608da0a13648b0215ad579e36a2fb11075f75dbc",
|
||||
"generated": "2026-10-02",
|
||||
"generated_by": "scripts/generate-helper-cases.sh",
|
||||
"units": "The model's own: km, K, cm^-3, g/cm^3, and cm/s^2 for gravity.",
|
||||
"note": "gsurf and re are the shared state the helper was called at, not arguments to it.",
|
||||
"cases":
|
||||
[
|
||||
{"helper": "glatf", "lat": -9.00000000000000000e+01, "gravity": 9.83202178576797564e+02, "radius": 6.37781999030094084e+03},
|
||||
{"helper": "glatf", "lat": -6.00000000000000000e+01, "gravity": 9.81909091298766157e+02, "radius": 6.36708813209837626e+03},
|
||||
{"helper": "glatf", "lat": -4.50000000000000000e+01, "gravity": 9.80616001741028526e+02, "radius": 6.35636415050135565e+03},
|
||||
{"helper": "glatf", "lat": -2.35000000000000000e+01, "gravity": 9.78852231116743383e+02, "radius": 6.34174938267110065e+03},
|
||||
{"helper": "glatf", "lat": 0.00000000000000000e+00, "gravity": 9.78029821423200019e+02, "radius": 6.33493982912506635e+03},
|
||||
{"helper": "glatf", "lat": 2.35000000000000000e+01, "gravity": 9.78852231116743383e+02, "radius": 6.34174938267110065e+03},
|
||||
{"helper": "glatf", "lat": 4.50000000000000000e+01, "gravity": 9.80616001741028526e+02, "radius": 6.35636415050135565e+03},
|
||||
{"helper": "glatf", "lat": 6.00000000000000000e+01, "gravity": 9.81909091298766157e+02, "radius": 6.36708813209837626e+03},
|
||||
{"helper": "glatf", "lat": 9.00000000000000000e+01, "gravity": 9.83202178576797564e+02, "radius": 6.37781999030094084e+03},
|
||||
{"helper": "glatf", "lat": 3.06999999999999993e+01, "gravity": 9.79378018414946041e+02, "radius": 6.34610457144280736e+03},
|
||||
{"helper": "zeta", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "zz": 0.00000000000000000e+00, "zl": 0.00000000000000000e+00, "value": 0.00000000000000000e+00},
|
||||
{"helper": "zeta", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "zz": 0.00000000000000000e+00, "zl": 3.25000000000000000e+01, "value": -3.26661720403348355e+01},
|
||||
{"helper": "zeta", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "zz": 0.00000000000000000e+00, "zl": 1.20000000000000000e+02, "value": -1.22265446041014542e+02},
|
||||
{"helper": "zeta", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "zz": 1.00000000000000000e+01, "zl": 0.00000000000000000e+00, "value": 9.98429244736304788e+00},
|
||||
{"helper": "zeta", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "zz": 1.00000000000000000e+01, "zl": 3.25000000000000000e+01, "value": -2.25795194852245658e+01},
|
||||
{"helper": "zeta", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "zz": 1.00000000000000000e+01, "zl": 1.20000000000000000e+02, "value": -1.11900613869071108e+02},
|
||||
{"helper": "zeta", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "zz": 7.25000000000000000e+01, "zl": 0.00000000000000000e+00, "value": 7.16823983402122309e+01},
|
||||
{"helper": "zeta", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "zz": 7.25000000000000000e+01, "zl": 3.25000000000000000e+01, "value": 3.97511224436317860e+01},
|
||||
{"helper": "zeta", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "zz": 7.25000000000000000e+01, "zl": 1.20000000000000000e+02, "value": -4.78509562415973591e+01},
|
||||
{"helper": "zeta", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "zz": 1.20000000000000000e+02, "zl": 0.00000000000000000e+00, "value": 1.17776530215817900e+02},
|
||||
{"helper": "zeta", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "zz": 1.20000000000000000e+02, "zl": 3.25000000000000000e+01, "value": 8.63178166295038665e+01},
|
||||
{"helper": "zeta", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "zz": 1.20000000000000000e+02, "zl": 1.20000000000000000e+02, "value": 0.00000000000000000e+00},
|
||||
{"helper": "zeta", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "zz": 4.00000000000000000e+02, "zl": 0.00000000000000000e+00, "value": 3.76318623976458241e+02},
|
||||
{"helper": "zeta", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "zz": 4.00000000000000000e+02, "zl": 3.25000000000000000e+01, "value": 3.47510513496378337e+02},
|
||||
{"helper": "zeta", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "zz": 4.00000000000000000e+02, "zl": 1.20000000000000000e+02, "value": 2.68396125748464499e+02},
|
||||
{"helper": "zeta", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "zz": 1.00000000000000000e+03, "zl": 0.00000000000000000e+00, "value": 8.64063281868414947e+02},
|
||||
{"helper": "zeta", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "zz": 1.00000000000000000e+03, "zl": 3.25000000000000000e+01, "value": 8.40255585388441432e+02},
|
||||
{"helper": "zeta", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "zz": 1.00000000000000000e+03, "zl": 1.20000000000000000e+02, "value": 7.74730605478900543e+02},
|
||||
{"helper": "scalh", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "alt": 4.00000000000000000e+02, "xm": 4.00000000000000000e+00, "temp": 1.80000000000000000e+02, "value": 4.31054433917684605e+01},
|
||||
{"helper": "scalh", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "alt": 4.00000000000000000e+02, "xm": 4.00000000000000000e+00, "temp": 3.00000000000000000e+02, "value": 7.18424056529474342e+01},
|
||||
{"helper": "scalh", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "alt": 4.00000000000000000e+02, "xm": 4.00000000000000000e+00, "temp": 1.00000000000000000e+03, "value": 2.39474685509824781e+02},
|
||||
{"helper": "scalh", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "alt": 4.00000000000000000e+02, "xm": 4.00000000000000000e+00, "temp": 1.50000000000000000e+03, "value": 3.59212028264737171e+02},
|
||||
{"helper": "scalh", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "alt": 5.00000000000000000e+02, "xm": 1.60000000000000000e+01, "temp": 1.80000000000000000e+02, "value": 1.10977203931148196e+01},
|
||||
{"helper": "scalh", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "alt": 5.00000000000000000e+02, "xm": 1.60000000000000000e+01, "temp": 3.00000000000000000e+02, "value": 1.84962006551913660e+01},
|
||||
{"helper": "scalh", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "alt": 5.00000000000000000e+02, "xm": 1.60000000000000000e+01, "temp": 1.00000000000000000e+03, "value": 6.16540021839712153e+01},
|
||||
{"helper": "scalh", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "alt": 5.00000000000000000e+02, "xm": 1.60000000000000000e+01, "temp": 1.50000000000000000e+03, "value": 9.24810032759568230e+01},
|
||||
{"helper": "scalh", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "alt": 6.00000000000000000e+02, "xm": 2.80000000000000000e+01, "temp": 1.80000000000000000e+02, "value": 6.52788651149668375e+00},
|
||||
{"helper": "scalh", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "alt": 6.00000000000000000e+02, "xm": 2.80000000000000000e+01, "temp": 3.00000000000000000e+02, "value": 1.08798108524944723e+01},
|
||||
{"helper": "scalh", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "alt": 6.00000000000000000e+02, "xm": 2.80000000000000000e+01, "temp": 1.00000000000000000e+03, "value": 3.62660361749815721e+01},
|
||||
{"helper": "scalh", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "alt": 6.00000000000000000e+02, "xm": 2.80000000000000000e+01, "temp": 1.50000000000000000e+03, "value": 5.43990542624723616e+01},
|
||||
{"helper": "scalh", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "alt": 7.00000000000000000e+02, "xm": 3.20000000000000000e+01, "temp": 1.80000000000000000e+02, "value": 5.87730192697762721e+00},
|
||||
{"helper": "scalh", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "alt": 7.00000000000000000e+02, "xm": 3.20000000000000000e+01, "temp": 3.00000000000000000e+02, "value": 9.79550321162937898e+00},
|
||||
{"helper": "scalh", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "alt": 7.00000000000000000e+02, "xm": 3.20000000000000000e+01, "temp": 1.00000000000000000e+03, "value": 3.26516773720979288e+01},
|
||||
{"helper": "scalh", "gsurf": 9.80616001741028526e+02, "re": 6.35636415050135565e+03, "alt": 7.00000000000000000e+02, "xm": 3.20000000000000000e+01, "temp": 1.50000000000000000e+03, "value": 4.89775160581468967e+01},
|
||||
{"helper": "ccor", "alt": 0.00000000000000000e+00, "r": -5.00000000000000000e-01, "h1": 2.00000000000000000e+01, "zh": 1.00000000000000000e+02, "value": 6.08563769283357980e-01},
|
||||
{"helper": "ccor2", "alt": 0.00000000000000000e+00, "r": -5.00000000000000000e-01, "h1": 2.00000000000000000e+01, "zh": 1.00000000000000000e+02, "h2": 5.00000000000000000e+00, "value": 6.07549777607943708e-01},
|
||||
{"helper": "ccor", "alt": 0.00000000000000000e+00, "r": 0.00000000000000000e+00, "h1": 2.00000000000000000e+01, "zh": 1.00000000000000000e+02, "value": 1.00000000000000000e+00},
|
||||
{"helper": "ccor2", "alt": 0.00000000000000000e+00, "r": 0.00000000000000000e+00, "h1": 2.00000000000000000e+01, "zh": 1.00000000000000000e+02, "h2": 5.00000000000000000e+00, "value": 1.00000000000000000e+00},
|
||||
{"helper": "ccor", "alt": 0.00000000000000000e+00, "r": 2.50000000000000000e-01, "h1": 2.00000000000000000e+01, "zh": 1.00000000000000000e+02, "value": 1.28187876541645984e+00},
|
||||
{"helper": "ccor2", "alt": 0.00000000000000000e+00, "r": 2.50000000000000000e-01, "h1": 2.00000000000000000e+01, "zh": 1.00000000000000000e+02, "h2": 5.00000000000000000e+00, "value": 1.28294803788945178e+00},
|
||||
{"helper": "ccor", "alt": 0.00000000000000000e+00, "r": 2.00000000000000000e+00, "h1": 2.00000000000000000e+01, "zh": 1.00000000000000000e+02, "value": 7.29080742774534318e+00},
|
||||
{"helper": "ccor2", "alt": 0.00000000000000000e+00, "r": 2.00000000000000000e+00, "h1": 2.00000000000000000e+01, "zh": 1.00000000000000000e+02, "h2": 5.00000000000000000e+00, "value": 7.33960241818573422e+00},
|
||||
{"helper": "ccor", "alt": 7.25000000000000000e+01, "r": -5.00000000000000000e-01, "h1": 2.00000000000000000e+01, "zh": 1.00000000000000000e+02, "value": 6.70928041216118376e-01},
|
||||
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{"helper": "glob7s", "table": "pma8", "switch_set": 3, "case": 5, "switches_in": [0.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 0.00000000000000000e+00, 0.00000000000000000e+00, 0.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 0.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00], "day_of_year": 1.50000000000000000e+01, "longitude_deg": 1.50000000000000000e+02, "plg0": [0.00000000000000000e+00, -7.07107019200454379e-01, 2.50000504903827636e-01, 1.76776159765046126e-01, -4.06249789622909363e-01, 3.75650812211884011e-01, -1.48438273133762927e-01, 0.00000000000000000e+00, 0.00000000000000000e+00], "plg1": [0.00000000000000000e+00, 7.07106543172560498e-01, -1.49999999999966005e+00, 1.59099150724226179e+00, -6.25002945272186139e-01, -9.94365452401257621e-01, 2.29687367462202507e+00, 0.00000000000000000e+00, 0.00000000000000000e+00], "plg2": [0.00000000000000000e+00, 0.00000000000000000e+00, 1.49999899019234451e+00, -5.30329907379300192e+00, 9.37500252451318694e+00, -9.28079212272975873e+00, 1.64065702983879191e+00, 1.18329551314287080e+01, 0.00000000000000000e+00], "plg3": [0.00000000000000000e+00, 0.00000000000000000e+00, 0.00000000000000000e+00, 5.30329550358620150e+00, -2.62499823283600762e+01, 6.49654261496691277e+01, -9.84375795222323404e+01, 0.00000000000000000e+00, 0.00000000000000000e+00], "stloc": 6.08756814928322787e-01, "ctloc": -7.93356880778331552e-01, "s2tloc": -9.65922815688172398e-01, "c2tloc": 2.58830280556647530e-01, "s3tloc": 9.23886209325660346e-01, "c3tloc": 3.82667312711527707e-01, "dfa": 0.00000000000000000e+00, "apdf": 0.00000000000000000e+00, "apt": [1.97925468781217582e+01, 0.00000000000000000e+00, 0.00000000000000000e+00, 0.00000000000000000e+00], "value": 8.98453506465981544e-01},
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{"helper": "glob7s", "table": "pma9", "switch_set": 3, "case": 5, "switches_in": [0.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 0.00000000000000000e+00, 0.00000000000000000e+00, 0.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 0.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00, 1.00000000000000000e+00], "day_of_year": 1.50000000000000000e+01, "longitude_deg": 1.50000000000000000e+02, "plg0": [0.00000000000000000e+00, -7.07107019200454379e-01, 2.50000504903827636e-01, 1.76776159765046126e-01, -4.06249789622909363e-01, 3.75650812211884011e-01, -1.48438273133762927e-01, 0.00000000000000000e+00, 0.00000000000000000e+00], "plg1": [0.00000000000000000e+00, 7.07106543172560498e-01, -1.49999999999966005e+00, 1.59099150724226179e+00, -6.25002945272186139e-01, -9.94365452401257621e-01, 2.29687367462202507e+00, 0.00000000000000000e+00, 0.00000000000000000e+00], "plg2": [0.00000000000000000e+00, 0.00000000000000000e+00, 1.49999899019234451e+00, -5.30329907379300192e+00, 9.37500252451318694e+00, -9.28079212272975873e+00, 1.64065702983879191e+00, 1.18329551314287080e+01, 0.00000000000000000e+00], "plg3": [0.00000000000000000e+00, 0.00000000000000000e+00, 0.00000000000000000e+00, 5.30329550358620150e+00, -2.62499823283600762e+01, 6.49654261496691277e+01, -9.84375795222323404e+01, 0.00000000000000000e+00, 0.00000000000000000e+00], "stloc": 6.08756814928322787e-01, "ctloc": -7.93356880778331552e-01, "s2tloc": -9.65922815688172398e-01, "c2tloc": 2.58830280556647530e-01, "s3tloc": 9.23886209325660346e-01, "c3tloc": 3.82667312711527707e-01, "dfa": 0.00000000000000000e+00, "apdf": 0.00000000000000000e+00, "apt": [1.97925468781217582e+01, 0.00000000000000000e+00, 0.00000000000000000e+00, 0.00000000000000000e+00], "value": 2.63622761751774404e-01}
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||||
]
|
||||
}
|
||||
Vendored
+166
@@ -0,0 +1,166 @@
|
||||
{
|
||||
"what": "The seventeen standard NRLMSISE-00 test cases, for validating a port.",
|
||||
"model": "NRLMSISE-00, by Picone, Hedin and Drob at the US Naval Research Laboratory",
|
||||
"reference": "https://raw.githubusercontent.com/magnific0/nrlmsise-00/master, Dominik Brodowski's C translation of the NRL Fortran",
|
||||
"reference_sha256": "0bdf9b9920eb4d7a2a0c8592608da0a13648b0215ad579e36a2fb11075f75dbc",
|
||||
"generated": "2026-10-01",
|
||||
"generated_by": "scripts/generate-msis-cases.sh",
|
||||
"densities": "He, O, N2, O2, Ar, total mass, H, N, anomalous O. Number densities in cm^-3 and the total in g/cm^3, which is what the model returns unless its metric switch is set; convert at the boundary.",
|
||||
"temperatures": "exospheric, then at the altitude asked for, in K.",
|
||||
"cases":
|
||||
[
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||||
{"case": 0,
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||||
"day_of_year": 172, "seconds_of_day": 2.90000000000000000e+04,
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||||
"altitude_km": 4.00000000000000000e+02, "latitude_deg": 6.00000000000000000e+01, "longitude_deg": -7.00000000000000000e+01,
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||||
"local_solar_time_h": 1.60000000000000000e+01,
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"f107_average": 1.50000000000000000e+02, "f107": 1.50000000000000000e+02, "ap_daily": 4.00000000000000000e+00,
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"ap_history": null,
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||||
"densities": [6.66517690495152026e+05, 1.13880555975221679e+08, 1.99821092557345442e+07, 4.02276358571251098e+05, 3.55746499451588579e+03, 4.07471353275722235e-15, 3.47531239971714167e+04, 4.09591326829300169e+06, 2.66727320933586889e+04],
|
||||
"temperatures": [1.25053994356079943e+03, 1.24141613001912060e+03]
|
||||
},
|
||||
{"case": 1,
|
||||
"day_of_year": 81, "seconds_of_day": 2.90000000000000000e+04,
|
||||
"altitude_km": 4.00000000000000000e+02, "latitude_deg": 6.00000000000000000e+01, "longitude_deg": -7.00000000000000000e+01,
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||||
"temperatures": [1.16675438375720887e+03, 1.16171045188704238e+03]
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||||
},
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{"case": 2,
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||||
"day_of_year": 172, "seconds_of_day": 7.50000000000000000e+04,
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||||
"altitude_km": 1.00000000000000000e+03, "latitude_deg": 6.00000000000000000e+01, "longitude_deg": -7.00000000000000000e+01,
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"ap_history": null,
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|
||||
"temperatures": [1.23989211171666534e+03, 1.23989064013305892e+03]
|
||||
},
|
||||
{"case": 3,
|
||||
"day_of_year": 172, "seconds_of_day": 2.90000000000000000e+04,
|
||||
"altitude_km": 1.00000000000000000e+02, "latitude_deg": 6.00000000000000000e+01, "longitude_deg": -7.00000000000000000e+01,
|
||||
"local_solar_time_h": 1.60000000000000000e+01,
|
||||
"f107_average": 1.50000000000000000e+02, "f107": 1.50000000000000000e+02, "ap_daily": 4.00000000000000000e+00,
|
||||
"ap_history": null,
|
||||
"densities": [5.41155437993667424e+07, 1.91889344393930908e+11, 6.11582559822463379e+12, 1.22520105174012427e+12, 6.02321197308487091e+10, 3.58442630411333433e-10, 1.05987969774054028e+07, 2.61573669370514195e+05, 2.81987935592833352e-42],
|
||||
"temperatures": [1.02731846489999998e+03, 2.06887776403605500e+02]
|
||||
},
|
||||
{"case": 4,
|
||||
"day_of_year": 172, "seconds_of_day": 2.90000000000000000e+04,
|
||||
"altitude_km": 4.00000000000000000e+02, "latitude_deg": 0.00000000000000000e+00, "longitude_deg": -7.00000000000000000e+01,
|
||||
"local_solar_time_h": 1.60000000000000000e+01,
|
||||
"f107_average": 1.50000000000000000e+02, "f107": 1.50000000000000000e+02, "ap_daily": 4.00000000000000000e+00,
|
||||
"ap_history": null,
|
||||
"densities": [1.85112248619252769e+06, 1.47655483792746186e+08, 1.57935622826449610e+07, 2.63379497731231386e+05, 1.58878139838393008e+03, 4.80963023940745184e-15, 5.81616678078747354e+04, 5.47898447906878870e+06, 1.26444594176100850e+03],
|
||||
"temperatures": [1.21239615212120930e+03, 1.20813542521239174e+03]
|
||||
},
|
||||
{"case": 5,
|
||||
"day_of_year": 172, "seconds_of_day": 2.90000000000000000e+04,
|
||||
"altitude_km": 4.00000000000000000e+02, "latitude_deg": 6.00000000000000000e+01, "longitude_deg": 0.00000000000000000e+00,
|
||||
"local_solar_time_h": 1.60000000000000000e+01,
|
||||
"f107_average": 1.50000000000000000e+02, "f107": 1.50000000000000000e+02, "ap_daily": 4.00000000000000000e+00,
|
||||
"ap_history": null,
|
||||
"densities": [8.67309523390615708e+05, 1.27886176801412746e+08, 1.82257662717170008e+07, 2.92221419061824679e+05, 2.40296243642370064e+03, 4.35586564264464624e-15, 3.68638924375054994e+04, 3.89727550372696389e+06, 2.66727320933586889e+04],
|
||||
"temperatures": [1.22014641791503209e+03, 1.21271208321180620e+03]
|
||||
},
|
||||
{"case": 6,
|
||||
"day_of_year": 172, "seconds_of_day": 2.90000000000000000e+04,
|
||||
"altitude_km": 4.00000000000000000e+02, "latitude_deg": 6.00000000000000000e+01, "longitude_deg": -7.00000000000000000e+01,
|
||||
"local_solar_time_h": 4.00000000000000000e+00,
|
||||
"f107_average": 1.50000000000000000e+02, "f107": 1.50000000000000000e+02, "ap_daily": 4.00000000000000000e+00,
|
||||
"ap_history": null,
|
||||
"densities": [5.77625121602324420e+05, 6.97913869366019517e+07, 1.23681355982170273e+07, 2.49286771542910225e+05, 1.40573867417784300e+03, 2.47065139166313155e-15, 5.29198556706664094e+04, 1.06981410936656618e+06, 2.66727320933586780e+04],
|
||||
"temperatures": [1.11638537604315161e+03, 1.11299856821731100e+03]
|
||||
},
|
||||
{"case": 7,
|
||||
"day_of_year": 172, "seconds_of_day": 2.90000000000000000e+04,
|
||||
"altitude_km": 4.00000000000000000e+02, "latitude_deg": 6.00000000000000000e+01, "longitude_deg": -7.00000000000000000e+01,
|
||||
"local_solar_time_h": 1.60000000000000000e+01,
|
||||
"f107_average": 7.00000000000000000e+01, "f107": 1.50000000000000000e+02, "ap_daily": 4.00000000000000000e+00,
|
||||
"ap_history": null,
|
||||
"densities": [3.74030410550766566e+05, 4.78272012361134216e+07, 5.24038003332420439e+06, 1.75987464039060724e+05, 5.50164877956996406e+02, 1.57188873925484437e-15, 8.89677572293503763e+04, 1.97974083623295510e+06, 9.12181487599149295e+03],
|
||||
"temperatures": [1.03124744071455893e+03, 1.02484849221300897e+03]
|
||||
},
|
||||
{"case": 8,
|
||||
"day_of_year": 172, "seconds_of_day": 2.90000000000000000e+04,
|
||||
"altitude_km": 4.00000000000000000e+02, "latitude_deg": 6.00000000000000000e+01, "longitude_deg": -7.00000000000000000e+01,
|
||||
"local_solar_time_h": 1.60000000000000000e+01,
|
||||
"f107_average": 1.50000000000000000e+02, "f107": 1.80000000000000000e+02, "ap_daily": 4.00000000000000000e+00,
|
||||
"ap_history": null,
|
||||
"densities": [6.74833876662362367e+05, 1.24531526044373140e+08, 2.36900954105298519e+07, 4.91158315474982315e+05, 4.57878109905442034e+03, 4.56442024536117137e-15, 3.24459477516109328e+04, 5.37083308708603773e+06, 2.66727320933586889e+04],
|
||||
"temperatures": [1.30605204202729215e+03, 1.29337404038953400e+03]
|
||||
},
|
||||
{"case": 9,
|
||||
"day_of_year": 172, "seconds_of_day": 2.90000000000000000e+04,
|
||||
"altitude_km": 4.00000000000000000e+02, "latitude_deg": 6.00000000000000000e+01, "longitude_deg": -7.00000000000000000e+01,
|
||||
"local_solar_time_h": 1.60000000000000000e+01,
|
||||
"f107_average": 1.50000000000000000e+02, "f107": 1.50000000000000000e+02, "ap_daily": 4.00000000000000000e+01,
|
||||
"ap_history": null,
|
||||
"densities": [5.52860084164518863e+05, 1.19804132404135808e+08, 3.49579776455821469e+07, 9.33961835502815782e+05, 1.09625476549343020e+04, 4.97454311032222523e-15, 2.68642785625980869e+04, 4.88997423297140189e+06, 2.80544483712566362e+04],
|
||||
"temperatures": [1.36186802078492337e+03, 1.34738918372970170e+03]
|
||||
},
|
||||
{"case": 10,
|
||||
"day_of_year": 172, "seconds_of_day": 2.90000000000000000e+04,
|
||||
"altitude_km": 0.00000000000000000e+00, "latitude_deg": 6.00000000000000000e+01, "longitude_deg": -7.00000000000000000e+01,
|
||||
"local_solar_time_h": 1.60000000000000000e+01,
|
||||
"f107_average": 1.50000000000000000e+02, "f107": 1.50000000000000000e+02, "ap_daily": 4.00000000000000000e+00,
|
||||
"ap_history": null,
|
||||
"densities": [1.37548758418628656e+14, 0.00000000000000000e+00, 2.04968704429075661e+19, 5.49869543371881267e+18, 2.45173315802838848e+17, 1.26106566111855141e-03, 0.00000000000000000e+00, 0.00000000000000000e+00, 0.00000000000000000e+00],
|
||||
"temperatures": [1.02731846489999998e+03, 2.81464757663215607e+02]
|
||||
},
|
||||
{"case": 11,
|
||||
"day_of_year": 172, "seconds_of_day": 2.90000000000000000e+04,
|
||||
"altitude_km": 1.00000000000000000e+01, "latitude_deg": 6.00000000000000000e+01, "longitude_deg": -7.00000000000000000e+01,
|
||||
"local_solar_time_h": 1.60000000000000000e+01,
|
||||
"f107_average": 1.50000000000000000e+02, "f107": 1.50000000000000000e+02, "ap_daily": 4.00000000000000000e+00,
|
||||
"ap_history": null,
|
||||
"densities": [4.42744258767709297e+13, 0.00000000000000000e+00, 6.59756715773731123e+18, 1.76992934140618854e+18, 7.89167995572748480e+16, 4.05913937579917880e-04, 0.00000000000000000e+00, 0.00000000000000000e+00, 0.00000000000000000e+00],
|
||||
"temperatures": [1.02731846489999998e+03, 2.27417980827261800e+02]
|
||||
},
|
||||
{"case": 12,
|
||||
"day_of_year": 172, "seconds_of_day": 2.90000000000000000e+04,
|
||||
"altitude_km": 3.00000000000000000e+01, "latitude_deg": 6.00000000000000000e+01, "longitude_deg": -7.00000000000000000e+01,
|
||||
"local_solar_time_h": 1.60000000000000000e+01,
|
||||
"f107_average": 1.50000000000000000e+02, "f107": 1.50000000000000000e+02, "ap_daily": 4.00000000000000000e+00,
|
||||
"ap_history": null,
|
||||
"densities": [2.12782875620718823e+12, 0.00000000000000000e+00, 3.17079055035404288e+17, 8.50627980943479040e+16, 3.79274111680598850e+15, 1.95082224517562141e-05, 0.00000000000000000e+00, 0.00000000000000000e+00, 0.00000000000000000e+00],
|
||||
"temperatures": [1.02731846489999998e+03, 2.37438914587726885e+02]
|
||||
},
|
||||
{"case": 13,
|
||||
"day_of_year": 172, "seconds_of_day": 2.90000000000000000e+04,
|
||||
"altitude_km": 5.00000000000000000e+01, "latitude_deg": 6.00000000000000000e+01, "longitude_deg": -7.00000000000000000e+01,
|
||||
"local_solar_time_h": 1.60000000000000000e+01,
|
||||
"f107_average": 1.50000000000000000e+02, "f107": 1.50000000000000000e+02, "ap_daily": 4.00000000000000000e+00,
|
||||
"ap_history": null,
|
||||
"densities": [1.41218354559285126e+11, 0.00000000000000000e+00, 2.10436964378315800e+16, 5.64539244337707800e+15, 2.51714174941122438e+14, 1.29470901592856713e-06, 0.00000000000000000e+00, 0.00000000000000000e+00, 0.00000000000000000e+00],
|
||||
"temperatures": [1.02731846489999998e+03, 2.79555112954127992e+02]
|
||||
},
|
||||
{"case": 14,
|
||||
"day_of_year": 172, "seconds_of_day": 2.90000000000000000e+04,
|
||||
"altitude_km": 7.00000000000000000e+01, "latitude_deg": 6.00000000000000000e+01, "longitude_deg": -7.00000000000000000e+01,
|
||||
"local_solar_time_h": 1.60000000000000000e+01,
|
||||
"f107_average": 1.50000000000000000e+02, "f107": 1.50000000000000000e+02, "ap_daily": 4.00000000000000000e+00,
|
||||
"ap_history": null,
|
||||
"densities": [1.25488440027266979e+10, 0.00000000000000000e+00, 1.87453282921902275e+15, 4.92305098078476375e+14, 2.23968541385638398e+13, 1.14766767151153651e-07, 0.00000000000000000e+00, 0.00000000000000000e+00, 0.00000000000000000e+00],
|
||||
"temperatures": [1.02731846489999998e+03, 2.19073231364195721e+02]
|
||||
},
|
||||
{"case": 15,
|
||||
"day_of_year": 172, "seconds_of_day": 2.90000000000000000e+04,
|
||||
"altitude_km": 4.00000000000000000e+02, "latitude_deg": 6.00000000000000000e+01, "longitude_deg": -7.00000000000000000e+01,
|
||||
"local_solar_time_h": 1.60000000000000000e+01,
|
||||
"f107_average": 1.50000000000000000e+02, "f107": 1.50000000000000000e+02, "ap_daily": 4.00000000000000000e+00,
|
||||
"ap_history": [100,100,100,100,100,100,100],
|
||||
"densities": [5.19647740297287994e+05, 1.27449407296046257e+08, 4.85044986985335723e+07, 1.72083798257490038e+06, 2.35448659054442614e+04, 5.88194044865163181e-15, 2.50007839108092958e+04, 6.27920982501879986e+06, 2.66727320933586780e+04],
|
||||
"temperatures": [1.42641166228242469e+03, 1.40860779555326394e+03]
|
||||
},
|
||||
{"case": 16,
|
||||
"day_of_year": 172, "seconds_of_day": 2.90000000000000000e+04,
|
||||
"altitude_km": 1.00000000000000000e+02, "latitude_deg": 6.00000000000000000e+01, "longitude_deg": -7.00000000000000000e+01,
|
||||
"local_solar_time_h": 1.60000000000000000e+01,
|
||||
"f107_average": 1.50000000000000000e+02, "f107": 1.50000000000000000e+02, "ap_daily": 4.00000000000000000e+00,
|
||||
"ap_history": [100,100,100,100,100,100,100],
|
||||
"densities": [4.26085974879412055e+07, 1.24134201554874298e+11, 4.92956154248814258e+12, 1.04840674909283203e+12, 4.99346508305550537e+10, 2.91430355030879247e-10, 8.83122859257159382e+06, 2.25251550862615462e+05, 2.41524592964891382e-42],
|
||||
"temperatures": [1.02731846489999998e+03, 1.93407106257668147e+02]
|
||||
}
|
||||
]
|
||||
}
|
||||
+311
@@ -0,0 +1,311 @@
|
||||
//! The model over a wide sweep of its inputs.
|
||||
//!
|
||||
//! The seventeen standard cases vary one input at a time from one baseline, which leaves
|
||||
//! most of the input space untouched. This fixture sweeps fifty altitudes — dense through
|
||||
//! the lower thermosphere, and either side of every altitude at which the model is
|
||||
//! discontinuous — against sixty combinations of day, time, position, flux and magnetic
|
||||
//! activity, under eight switch settings.
|
||||
//!
|
||||
//! Every case is compared bit for bit. That is what makes a later performance change safe
|
||||
//! to make: three thousand exact comparisons will notice a reordered expression, which a
|
||||
//! test to a few significant figures would not.
|
||||
|
||||
use nrlmsise00::{Input, MagneticActivity, Model, Switch, Switches, Units};
|
||||
use std::collections::HashMap;
|
||||
|
||||
/// One row of the fixture.
|
||||
struct Case {
|
||||
switches: Switches,
|
||||
input: Input<f64>,
|
||||
densities: [f64; 9],
|
||||
exospheric_temperature: f64,
|
||||
temperature: f64,
|
||||
}
|
||||
|
||||
/// Parses the fixture. The columns are named in its header, so the order is read from
|
||||
/// there rather than assumed.
|
||||
fn cases() -> Vec<Case> {
|
||||
let path = concat!(env!("CARGO_MANIFEST_DIR"), "/tests/fixtures/grid-cases.csv");
|
||||
let text = std::fs::read_to_string(path).expect("the fixture is committed");
|
||||
let mut lines = text.lines().filter(|line| !line.starts_with('#'));
|
||||
let header: Vec<&str> = lines.next().expect("a header").split(',').collect();
|
||||
let column: HashMap<&str, usize> = header
|
||||
.iter()
|
||||
.enumerate()
|
||||
.map(|(index, name)| (*name, index))
|
||||
.collect();
|
||||
|
||||
lines
|
||||
.map(|line| {
|
||||
let fields: Vec<&str> = line.split(',').collect();
|
||||
assert_eq!(fields.len(), header.len(), "ragged row: {line}");
|
||||
let at = |name: &str| -> f64 {
|
||||
fields[column[name]]
|
||||
.parse()
|
||||
.unwrap_or_else(|e| panic!("{name} is {}: {e}", fields[column[name]]))
|
||||
};
|
||||
let raw: Vec<char> = fields[column["switches"]].chars().collect();
|
||||
assert_eq!(raw.len(), 24, "the switch string should hold twenty-four");
|
||||
Case {
|
||||
switches: switches_of(&raw),
|
||||
input: Input {
|
||||
day_of_year: at("day_of_year") as i32,
|
||||
seconds_of_day: at("seconds_of_day"),
|
||||
altitude_km: at("altitude_km"),
|
||||
latitude_deg: at("latitude_deg"),
|
||||
longitude_deg: at("longitude_deg"),
|
||||
local_solar_time_h: at("local_solar_time_h"),
|
||||
f107_average: at("f107_average"),
|
||||
f107: at("f107"),
|
||||
magnetic: magnetic_of(&raw, &at),
|
||||
},
|
||||
densities: [
|
||||
at("he"),
|
||||
at("o"),
|
||||
at("n2"),
|
||||
at("o2"),
|
||||
at("ar"),
|
||||
at("total_mass"),
|
||||
at("h"),
|
||||
at("n"),
|
||||
at("anomalous_o"),
|
||||
],
|
||||
exospheric_temperature: at("exospheric_temperature"),
|
||||
temperature: at("temperature"),
|
||||
}
|
||||
})
|
||||
.collect()
|
||||
}
|
||||
|
||||
/// The reference's raw switch array, as the model's own type.
|
||||
fn switches_of(raw: &[char]) -> Switches {
|
||||
let at = |index: usize| match raw[index] {
|
||||
'0' => Switch::Off,
|
||||
'1' => Switch::On,
|
||||
'2' => Switch::CrossTermsOnly,
|
||||
other => panic!("switch {index} is {other}"),
|
||||
};
|
||||
Switches {
|
||||
// The fixture is generated at the reference's standard switch 0, so native units.
|
||||
units: Units::Native,
|
||||
f107_mean: at(1),
|
||||
time_independent: at(2),
|
||||
symmetrical_annual: at(3),
|
||||
symmetrical_semiannual: at(4),
|
||||
asymmetrical_annual: at(5),
|
||||
asymmetrical_semiannual: at(6),
|
||||
diurnal: at(7),
|
||||
semidiurnal: at(8),
|
||||
ut_and_longitude: at(10),
|
||||
longitudinal: at(11),
|
||||
ut_and_mixed_ut_longitude: at(12),
|
||||
mixed_ap_ut_longitude: at(13),
|
||||
terdiurnal: at(14),
|
||||
departures_from_diffusive_equilibrium: at(15),
|
||||
exospheric_temperature: at(16),
|
||||
boundary_temperature: at(17),
|
||||
lower_thermosphere_temperature: at(18),
|
||||
temperature_gradient: at(19),
|
||||
mesosphere_temperature: at(20),
|
||||
boundary_density: at(21),
|
||||
troposphere_temperature: at(22),
|
||||
turbopause_scale_height: at(23),
|
||||
}
|
||||
}
|
||||
|
||||
/// Switch 9 and the ap values it selects. The fixture writes `h` for the history mode.
|
||||
fn magnetic_of(raw: &[char], at: &dyn Fn(&str) -> f64) -> MagneticActivity<f64> {
|
||||
match raw[9] {
|
||||
'0' => MagneticActivity::Off {
|
||||
daily_ap: at("ap_daily"),
|
||||
},
|
||||
'1' => MagneticActivity::Daily { ap: at("ap_daily") },
|
||||
'h' => MagneticActivity::History {
|
||||
ap: [
|
||||
at("ap1"),
|
||||
at("ap2"),
|
||||
at("ap3"),
|
||||
at("ap4"),
|
||||
at("ap5"),
|
||||
at("ap6"),
|
||||
at("ap7"),
|
||||
],
|
||||
},
|
||||
other => panic!("switch 9 is {other}"),
|
||||
}
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_the_grid_matches_the_reference() {
|
||||
let cases = cases();
|
||||
assert_eq!(cases.len(), 2880, "unexpected fixture size");
|
||||
let names = [
|
||||
"He",
|
||||
"O",
|
||||
"N2",
|
||||
"O2",
|
||||
"Ar",
|
||||
"total mass",
|
||||
"H",
|
||||
"N",
|
||||
"anomalous O",
|
||||
];
|
||||
|
||||
// One model per switch setting rather than one per case; there are eight of them
|
||||
// among three thousand cases.
|
||||
let mut model = Model::with_switches(cases[0].switches);
|
||||
let mut mismatches = Vec::new();
|
||||
|
||||
for (index, case) in cases.iter().enumerate() {
|
||||
if model.switches() != case.switches {
|
||||
model = Model::with_switches(case.switches);
|
||||
}
|
||||
let output = model.gtd7(&case.input);
|
||||
|
||||
for ((got, want), name) in output
|
||||
.densities()
|
||||
.iter()
|
||||
.zip(case.densities.iter())
|
||||
.zip(names)
|
||||
{
|
||||
if got.to_bits() != want.to_bits() {
|
||||
mismatches.push(format!(
|
||||
"row {index} at {} km: {name} is {got:.17e}, reference {want:.17e} \
|
||||
({} ulp)",
|
||||
case.input.altitude_km,
|
||||
(got.to_bits() as i64 - want.to_bits() as i64).abs()
|
||||
));
|
||||
}
|
||||
}
|
||||
for (got, want, what) in [
|
||||
(
|
||||
output.exospheric_temperature,
|
||||
case.exospheric_temperature,
|
||||
"exospheric temperature",
|
||||
),
|
||||
(output.temperature, case.temperature, "temperature"),
|
||||
] {
|
||||
if got.to_bits() != want.to_bits() {
|
||||
mismatches.push(format!(
|
||||
"row {index} at {} km: {what} is {got:.17e}, reference {want:.17e}",
|
||||
case.input.altitude_km
|
||||
));
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
assert!(
|
||||
mismatches.is_empty(),
|
||||
"{} of {} rows disagree with the reference:\n{}",
|
||||
mismatches.len(),
|
||||
cases.len() * 11,
|
||||
mismatches
|
||||
.iter()
|
||||
.take(20)
|
||||
.cloned()
|
||||
.collect::<Vec<_>>()
|
||||
.join("\n")
|
||||
);
|
||||
}
|
||||
|
||||
/// The physical checks, which the fixture cannot make for itself: a wrong model that
|
||||
/// agreed with a wrong reference would pass everything above and fail these.
|
||||
#[test]
|
||||
fn test_the_atmosphere_behaves_the_way_it_should() {
|
||||
let model = Model::new();
|
||||
let at = |altitude_km: f64, local_solar_time_h: f64, f107: f64, ap: f64| {
|
||||
model
|
||||
.gtd7d(&Input {
|
||||
day_of_year: 172,
|
||||
seconds_of_day: 29000.0,
|
||||
altitude_km,
|
||||
latitude_deg: 30.0,
|
||||
longitude_deg: 0.0,
|
||||
local_solar_time_h,
|
||||
f107_average: f107,
|
||||
f107,
|
||||
magnetic: MagneticActivity::Daily { ap },
|
||||
})
|
||||
.total_mass
|
||||
};
|
||||
|
||||
// Day is denser than night at the same altitude, because the Sun raises a bulge.
|
||||
for altitude in [300.0, 400.0, 600.0] {
|
||||
let noon = at(altitude, 14.0, 150.0, 4.0);
|
||||
let midnight = at(altitude, 2.0, 150.0, 4.0);
|
||||
assert!(
|
||||
noon > midnight,
|
||||
"at {altitude} km, {noon:e} at 14h against {midnight:e} at 2h"
|
||||
);
|
||||
}
|
||||
|
||||
// High solar flux is denser than low, and a storm is denser than quiet conditions.
|
||||
for altitude in [300.0, 400.0, 600.0] {
|
||||
assert!(at(altitude, 14.0, 220.0, 4.0) > at(altitude, 14.0, 70.0, 4.0));
|
||||
assert!(at(altitude, 14.0, 150.0, 200.0) > at(altitude, 14.0, 150.0, 4.0));
|
||||
}
|
||||
|
||||
// The surface density is a kilogram and a bit per cubic meter.
|
||||
let surface = at(0.0, 12.0, 150.0, 4.0);
|
||||
assert!(
|
||||
(1.0..1.4).contains(&surface),
|
||||
"the surface density is {surface} kg/m^3"
|
||||
);
|
||||
}
|
||||
|
||||
/// The two places the port departs from the reference's control flow, checked to give a
|
||||
/// defined answer where the reference gives one that depends on what was asked before it.
|
||||
///
|
||||
/// Both are cases where the reference reads a value its own call never wrote. Neither can
|
||||
/// be compared against the reference, because the reference has no stable answer there;
|
||||
/// what can be checked is that the answer here is finite, and that it is close to the
|
||||
/// neighboring altitudes and switch settings it should be close to.
|
||||
#[test]
|
||||
fn test_the_two_departures_from_the_reference_are_defined() {
|
||||
let at = |altitude_km: f64, switches: Switches| {
|
||||
Model::with_switches(switches).gtd7d(&Input {
|
||||
day_of_year: 100,
|
||||
seconds_of_day: 43200.0,
|
||||
altitude_km,
|
||||
latitude_deg: -45.0,
|
||||
longitude_deg: 120.0,
|
||||
local_solar_time_h: 20.0,
|
||||
f107_average: 120.0,
|
||||
f107: 130.0,
|
||||
magnetic: MagneticActivity::Daily { ap: 20.0 },
|
||||
})
|
||||
};
|
||||
|
||||
// At exactly 32.5 km, where the reference splines through unfilled nodes. The answer
|
||||
// should sit between its neighbors, since nothing physical happens at 32.5 km.
|
||||
let below = at(32.4, Switches::default()).total_mass;
|
||||
let seam = at(32.5, Switches::default()).total_mass;
|
||||
let above = at(32.6, Switches::default()).total_mass;
|
||||
assert!(seam.is_finite(), "the density at 32.5 km is {seam}");
|
||||
assert!(
|
||||
seam < below && seam > above,
|
||||
"at 32.5 km the density is {seam:e}, outside its neighbors {below:e} and {above:e}"
|
||||
);
|
||||
|
||||
// With switch 15 off below 72.5 km, where the reference scales from a mixed nitrogen
|
||||
// density it never computed. Turning the switch off drops a small correction, so the
|
||||
// answer should be finite and within a few percent of leaving it on.
|
||||
let off = Switches {
|
||||
departures_from_diffusive_equilibrium: Switch::Off,
|
||||
..Switches::default()
|
||||
};
|
||||
for altitude in [0.0, 20.0, 50.0, 70.0] {
|
||||
let with = at(altitude, Switches::default()).total_mass;
|
||||
let without = at(altitude, off).total_mass;
|
||||
assert!(
|
||||
without.is_finite(),
|
||||
"at {altitude} km with switch 15 off the density is {without}"
|
||||
);
|
||||
let difference = (without - with).abs() / with;
|
||||
assert!(
|
||||
difference < 0.05,
|
||||
"at {altitude} km switch 15 changes the density by {:.1}%",
|
||||
difference * 100.0
|
||||
);
|
||||
}
|
||||
}
|
||||
@@ -0,0 +1,231 @@
|
||||
//! The seventeen standard NRLMSISE-00 cases.
|
||||
//!
|
||||
//! The reference distribution's own test cases, which vary one input at a time from a
|
||||
//! common baseline and between them reach from the surface to 1000 km, the equator, local
|
||||
//! midnight, low and high solar flux, a geomagnetic storm, and the two cases that use the
|
||||
//! seven-element ap history rather than a daily value.
|
||||
//!
|
||||
//! The fixture holds the reference's outputs at seventeen significant digits, so these are
|
||||
//! compared bit for bit. An approximate comparison would not catch a term dropped from an
|
||||
//! expansion whose contribution happens to be small at the point being sampled, and the
|
||||
//! whole reason to have a port rather than a rewrite is that it agrees exactly.
|
||||
|
||||
use nrlmsise00::{Input, MagneticActivity, Model, Switches, Units};
|
||||
use serde_json::Value;
|
||||
|
||||
/// The fixture's cases.
|
||||
fn cases() -> Vec<Value> {
|
||||
let path = concat!(
|
||||
env!("CARGO_MANIFEST_DIR"),
|
||||
"/tests/fixtures/nrlmsise00-cases.json"
|
||||
);
|
||||
let text = std::fs::read_to_string(path).expect("the fixture is committed");
|
||||
let parsed: Value = serde_json::from_str(&text).expect("the fixture is JSON");
|
||||
parsed["cases"]
|
||||
.as_array()
|
||||
.expect("an array of cases")
|
||||
.clone()
|
||||
}
|
||||
|
||||
/// A fixture number, parsed from its own digits rather than by `serde_json`'s float
|
||||
/// parser, which reads some values back one ulp high.
|
||||
fn number(case: &Value, field: &str) -> f64 {
|
||||
case[field]
|
||||
.as_number()
|
||||
.unwrap_or_else(|| panic!("{field} missing"))
|
||||
.as_str()
|
||||
.parse()
|
||||
.expect("an f64")
|
||||
}
|
||||
|
||||
fn numbers(case: &Value, field: &str) -> Vec<f64> {
|
||||
case[field]
|
||||
.as_array()
|
||||
.unwrap_or_else(|| panic!("{field} missing"))
|
||||
.iter()
|
||||
.map(|v| {
|
||||
v.as_number()
|
||||
.expect("a number")
|
||||
.as_str()
|
||||
.parse()
|
||||
.expect("an f64")
|
||||
})
|
||||
.collect()
|
||||
}
|
||||
|
||||
fn input_of(case: &Value) -> Input<f64> {
|
||||
let magnetic = if case["ap_history"].is_null() {
|
||||
MagneticActivity::Daily {
|
||||
ap: number(case, "ap_daily"),
|
||||
}
|
||||
} else {
|
||||
let history = numbers(case, "ap_history");
|
||||
let mut ap = [0.0; 7];
|
||||
ap.copy_from_slice(&history);
|
||||
MagneticActivity::History { ap }
|
||||
};
|
||||
Input {
|
||||
day_of_year: number(case, "day_of_year") as i32,
|
||||
seconds_of_day: number(case, "seconds_of_day"),
|
||||
altitude_km: number(case, "altitude_km"),
|
||||
latitude_deg: number(case, "latitude_deg"),
|
||||
longitude_deg: number(case, "longitude_deg"),
|
||||
local_solar_time_h: number(case, "local_solar_time_h"),
|
||||
f107_average: number(case, "f107_average"),
|
||||
f107: number(case, "f107"),
|
||||
magnetic,
|
||||
}
|
||||
}
|
||||
|
||||
#[track_caller]
|
||||
fn assert_bits(got: f64, want: f64, what: &str) {
|
||||
if got.to_bits() == want.to_bits() {
|
||||
return;
|
||||
}
|
||||
let ulps = (got.to_bits() as i64 - want.to_bits() as i64).abs();
|
||||
panic!(
|
||||
"{what}: got {got:.17e}, reference {want:.17e} ({ulps} ulp, relative {:e})",
|
||||
(got - want).abs() / want.abs().max(f64::MIN_POSITIVE)
|
||||
);
|
||||
}
|
||||
|
||||
/// The reference's own units, since that is what the fixture is quoted in.
|
||||
fn reference_model() -> Model {
|
||||
Model::with_switches(Switches::reference())
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn test_the_seventeen_standard_cases_match_the_reference() {
|
||||
let cases = cases();
|
||||
assert_eq!(cases.len(), 17, "the fixture should hold seventeen cases");
|
||||
let model = reference_model();
|
||||
let names = [
|
||||
"He",
|
||||
"O",
|
||||
"N2",
|
||||
"O2",
|
||||
"Ar",
|
||||
"total mass",
|
||||
"H",
|
||||
"N",
|
||||
"anomalous O",
|
||||
];
|
||||
|
||||
for case in cases {
|
||||
let index = case["case"].as_u64().expect("a case number");
|
||||
let output = model.gtd7(&input_of(&case));
|
||||
let want = numbers(&case, "densities");
|
||||
let at = format!("case {index} at {} km", number(&case, "altitude_km"));
|
||||
|
||||
for ((got, want), name) in output.densities().iter().zip(&want).zip(names) {
|
||||
assert_bits(*got, *want, &format!("{at}: {name}"));
|
||||
}
|
||||
let temperatures = numbers(&case, "temperatures");
|
||||
assert_bits(
|
||||
output.exospheric_temperature,
|
||||
temperatures[0],
|
||||
&format!("{at}: exospheric temperature"),
|
||||
);
|
||||
assert_bits(
|
||||
output.temperature,
|
||||
temperatures[1],
|
||||
&format!("{at}: temperature"),
|
||||
);
|
||||
}
|
||||
}
|
||||
|
||||
/// `gtd7d` differs from `gtd7` in the total mass density alone, by exactly the mass of the
|
||||
/// anomalous oxygen the fixture gives.
|
||||
#[test]
|
||||
fn test_gtd7d_adds_anomalous_oxygen_to_the_total() {
|
||||
let model = reference_model();
|
||||
for case in cases() {
|
||||
let input = input_of(&case);
|
||||
let plain = model.gtd7(&input);
|
||||
let for_drag = model.gtd7d(&input);
|
||||
let densities = numbers(&case, "densities");
|
||||
let anomalous = densities[8];
|
||||
|
||||
// The reference's own expression for the drag total, from the fixture's densities.
|
||||
let want = 1.66e-24
|
||||
* (4.0 * densities[0]
|
||||
+ 16.0 * densities[1]
|
||||
+ 28.0 * densities[2]
|
||||
+ 32.0 * densities[3]
|
||||
+ 40.0 * densities[4]
|
||||
+ densities[6]
|
||||
+ 14.0 * densities[7]
|
||||
+ 16.0 * anomalous);
|
||||
assert_bits(
|
||||
for_drag.total_mass,
|
||||
want,
|
||||
&format!("case {} drag total", case["case"]),
|
||||
);
|
||||
|
||||
// Everything else is untouched.
|
||||
assert_eq!(plain.densities()[..5], for_drag.densities()[..5]);
|
||||
assert_eq!(plain.densities()[6..], for_drag.densities()[6..]);
|
||||
assert_eq!(plain.temperature, for_drag.temperature);
|
||||
|
||||
// Adding a species can only add mass, but it does not always change the number:
|
||||
// at 100 km the anomalous oxygen is around 1e-42 cm^-3, and sixteen nucleons of
|
||||
// that is far below one ulp of a total of 3.6e-10 g/cm^3.
|
||||
assert!(
|
||||
for_drag.total_mass >= plain.total_mass,
|
||||
"case {}: the drag total cannot be the smaller",
|
||||
case["case"]
|
||||
);
|
||||
let share = (for_drag.total_mass - plain.total_mass) / for_drag.total_mass;
|
||||
if number(&case, "altitude_km") >= 1000.0 {
|
||||
// This is why the distinction is worth a separate entry point: at 1000 km
|
||||
// anomalous oxygen is about a fifth of what a satellite runs into, and a drag
|
||||
// calculation that used `gtd7` would be short by that much.
|
||||
assert!(
|
||||
(0.15..0.25).contains(&share),
|
||||
"case {}: anomalous oxygen is {:.1}% of the drag mass at 1000 km",
|
||||
case["case"],
|
||||
share * 100.0
|
||||
);
|
||||
} else if number(&case, "altitude_km") >= 400.0 {
|
||||
assert!(share < 0.001, "{share} at 400 km");
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
/// SI is the model's own metric switch, so the two unit systems differ by exactly the
|
||||
/// factors that switch applies.
|
||||
#[test]
|
||||
fn test_si_is_the_models_own_metric_switch() {
|
||||
let native = reference_model();
|
||||
let si = Model::new();
|
||||
assert_eq!(si.switches().units, Units::Si);
|
||||
|
||||
for case in cases() {
|
||||
let input = input_of(&case);
|
||||
let in_native = native.gtd7(&input);
|
||||
let in_si = si.gtd7(&input);
|
||||
for (index, (native, si)) in in_native
|
||||
.densities()
|
||||
.iter()
|
||||
.zip(in_si.densities().iter())
|
||||
.enumerate()
|
||||
{
|
||||
let want = if index == 5 {
|
||||
native * 1.0e6 / 1000.0
|
||||
} else {
|
||||
native * 1.0e6
|
||||
};
|
||||
if number(&case, "altitude_km") >= 72.5 {
|
||||
assert_bits(*si, want, &format!("density {index} in SI"));
|
||||
} else {
|
||||
// Below 72.5 km the conversion is not applied to a finished answer: the
|
||||
// mixed nitrogen density is converted first and every other species is
|
||||
// scaled from it, so the factor lands earlier in the arithmetic and the
|
||||
// last bits need not agree. Four ulp is the observed spread.
|
||||
let ulps = (si.to_bits() as i64 - want.to_bits() as i64).abs();
|
||||
assert!(ulps <= 4, "density {index} in SI is {ulps} ulp from native");
|
||||
}
|
||||
}
|
||||
assert_eq!(in_native.temperature, in_si.temperature);
|
||||
}
|
||||
}
|
||||
Reference in new issue
Block a user