From b298a00651aca38933ba5e8e75a7058b41db93d8 Mon Sep 17 00:00:00 2001 From: ApsisRS contributors Date: Sat, 26 Sep 2026 15:34:34 +0800 Subject: [PATCH] rf: add the ITU-R P.839-4 rain height model --- crates/apsis-rs/Cargo.toml | 4 + crates/apsis-rs/examples/dump_p839.rs | 43 + crates/rf/apsis-atmosphere/src/lib.rs | 3 + crates/rf/apsis-atmosphere/src/p839.rs | 94 + crates/rf/apsis-atmosphere/src/p839_table.rs | 2241 ++++++++++++++++++ crates/rf/apsis-atmosphere/tests/p839.rs | 147 ++ validation/README.md | 8 +- validation/python/atmosphere/check_p839.py | 105 + validation/tools/generate_p839_table.py | 65 + 9 files changed, 2709 insertions(+), 1 deletion(-) create mode 100644 crates/apsis-rs/examples/dump_p839.rs create mode 100644 crates/rf/apsis-atmosphere/src/p839.rs create mode 100644 crates/rf/apsis-atmosphere/src/p839_table.rs create mode 100644 crates/rf/apsis-atmosphere/tests/p839.rs create mode 100644 validation/python/atmosphere/check_p839.py create mode 100644 validation/tools/generate_p839_table.py diff --git a/crates/apsis-rs/Cargo.toml b/crates/apsis-rs/Cargo.toml index f0d6f9e..5fd5f43 100644 --- a/crates/apsis-rs/Cargo.toml +++ b/crates/apsis-rs/Cargo.toml @@ -173,3 +173,7 @@ required-features = ["rf"] [[example]] name = "dump_s465" required-features = ["rf"] + +[[example]] +name = "dump_p839" +required-features = ["rf"] diff --git a/crates/apsis-rs/examples/dump_p839.rs b/crates/apsis-rs/examples/dump_p839.rs new file mode 100644 index 0000000..7888b48 --- /dev/null +++ b/crates/apsis-rs/examples/dump_p839.rs @@ -0,0 +1,43 @@ +//! Writes the rain height computed by this workspace, for cross-checking +//! against ITU-R P.839-4. +//! +//! Usage: +//! +//! ```text +//! cargo run -p apsis-rs --features rf --example dump_p839 \ +//! > validation/data/expected/rust_p839.csv +//! ``` + +use apsis_atmosphere::{rain_height, zero_isotherm_height}; + +/// The locations sampled, as latitude and longitude in degrees. +const POINTS: &[(f64, f64)] = &[ + (0.0, 0.0), + (45.0, 0.0), + (-45.0, 90.0), + (51.5, -0.1), + (35.7, 139.7), + (-33.9, 151.2), + (28.6, -80.6), + (0.0, 359.9), + (0.0, -0.1), + (60.0, 30.0), + (-60.0, 300.0), + (23.5, 45.0), + (89.9, 0.0), + (-89.9, 180.0), + (10.0, 100.0), +]; + +fn main() { + println!("latitude_deg,longitude_deg,isotherm_km,rain_height_km"); + for &(latitude, longitude) in POINTS { + let Some(isotherm) = zero_isotherm_height(latitude, longitude) else { + continue; + }; + let Some(height) = rain_height(latitude, longitude) else { + continue; + }; + println!("{latitude},{longitude},{isotherm:.12},{height:.12}"); + } +} diff --git a/crates/rf/apsis-atmosphere/src/lib.rs b/crates/rf/apsis-atmosphere/src/lib.rs index 15c4f3c..457d968 100644 --- a/crates/rf/apsis-atmosphere/src/lib.rs +++ b/crates/rf/apsis-atmosphere/src/lib.rs @@ -50,6 +50,8 @@ mod gaseous; mod gaseous_path; mod geometry; +mod p839; +mod p839_table; mod rain; pub use gaseous::{ @@ -60,6 +62,7 @@ pub use gaseous_path::{ EquivalentHeights, equivalent_heights, slant_path_attenuation, zenith_attenuation, }; pub use geometry::{air_mass, elevation_from_zenith, zenith_to_elevation}; +pub use p839::{RAIN_HEIGHT_OFFSET_KM, grid_step_degrees, rain_height, zero_isotherm_height}; pub use rain::{ DEFAULT_RAIN_HEIGHT_KM, RainAttenuation, polarisation_tilt, rain_attenuation, rain_coefficients, specific_rain_attenuation, diff --git a/crates/rf/apsis-atmosphere/src/p839.rs b/crates/rf/apsis-atmosphere/src/p839.rs new file mode 100644 index 0000000..f585015 --- /dev/null +++ b/crates/rf/apsis-atmosphere/src/p839.rs @@ -0,0 +1,94 @@ +//! The rain height model of ITU-R Recommendation P.839. +//! +//! The height of the rain layer is taken as the height of the zero degree +//! isotherm above sea level. The recommendation tabulates that height on a +//! global grid, and the value at a given location is found by bilinear +//! interpolation between the four surrounding grid points. +//! +//! The rain height is the height at which the falling snow melts, below +//! which the precipitation is liquid. Above it, the attenuation is much +//! smaller, so it is the effective thickness of the attenuating layer and an +//! input to the path calculation of Recommendation P.618. +//! +//! Source: ITU-R Recommendation P.839-4, *Rain height model for prediction +//! methods*. + +use crate::p839_table::ZERO_ISOTHERM_HEIGHT_METRES; + +/// The grid resolution of the tabulated isotherm height, in degrees. +const STEP_DEGREES: f64 = 1.5; + +/// The number of rows in the table, running from north to south. +const ROWS: usize = 121; + +/// The number of columns in the table, running from east to east. +const COLUMNS: usize = 241; + +/// The offset added to the isotherm height to obtain the rain height, in +/// kilometers. +/// +/// The recommendation states that the rain height is the isotherm height +/// plus 0.36 km, which represents the depth of the melting layer below the +/// isotherm. +pub const RAIN_HEIGHT_OFFSET_KM: f64 = 0.36; + +/// Returns the height of the zero degree isotherm at a location, in +/// kilometers above mean sea level. +/// +/// The latitude is in degrees, positive north, and the longitude in degrees, +/// positive east. The value is interpolated bilinearly from the tabulated +/// grid, and longitudes are reduced into `[0, 360)` first so that any +/// convention is accepted. +/// +/// Returns `None` when either coordinate is not finite, or when the latitude +/// is outside the range of the grid. +/// +/// Source: ITU-R Recommendation P.839-4, equation 1 and the tabulated +/// isotherm height. +pub fn zero_isotherm_height(latitude: f64, longitude: f64) -> Option { + if !latitude.is_finite() || !longitude.is_finite() { + return None; + } + if !(-90.0..=90.0).contains(&latitude) { + return None; + } + + // The rows run from north to south, so the row index grows as the + // latitude falls. + let row_position = (90.0 - latitude) / STEP_DEGREES; + let row_lower = (row_position.floor() as usize).min(ROWS - 1); + let row_upper = (row_lower + 1).min(ROWS - 1); + let row_fraction = row_position - row_lower as f64; + + // The columns run from 0 to 360 degrees east, wrapping at the seam. + let longitude = longitude.rem_euclid(360.0); + let column_position = longitude / STEP_DEGREES; + let column_lower = (column_position.floor() as usize).min(COLUMNS - 1); + let column_upper = (column_lower + 1) % COLUMNS; + let column_fraction = column_position - column_lower as f64; + + let sample = + |row: usize, column: usize| f64::from(ZERO_ISOTHERM_HEIGHT_METRES[row][column]) / 1000.0; + + // Bilinear interpolation. + let top = sample(row_lower, column_lower) + + (sample(row_lower, column_upper) - sample(row_lower, column_lower)) * column_fraction; + let bottom = sample(row_upper, column_lower) + + (sample(row_upper, column_upper) - sample(row_upper, column_lower)) * column_fraction; + Some(top + (bottom - top) * row_fraction) +} + +/// Returns the rain height at a location, in kilometers above mean sea level. +/// +/// This is the zero degree isotherm height plus +/// [`RAIN_HEIGHT_OFFSET_KM`], as the recommendation defines it. +/// +/// Returns `None` when the coordinates are not usable. +pub fn rain_height(latitude: f64, longitude: f64) -> Option { + Some(zero_isotherm_height(latitude, longitude)? + RAIN_HEIGHT_OFFSET_KM) +} + +/// Returns the grid resolution of the tabulated isotherm height, in degrees. +pub const fn grid_step_degrees() -> f64 { + STEP_DEGREES +} diff --git a/crates/rf/apsis-atmosphere/src/p839_table.rs b/crates/rf/apsis-atmosphere/src/p839_table.rs new file mode 100644 index 0000000..e5531c7 --- /dev/null +++ b/crates/rf/apsis-atmosphere/src/p839_table.rs @@ -0,0 +1,2241 @@ +//! The ITU-R P.839-4 zero degree isotherm height table. +//! +//! The table is generated from the data published with the recommendation by +//! `validation/tools/generate_p839_table.py` and is reproduced here as integers +//! in metres, which is the resolution the recommendation publishes. +//! +//! Source: ITU-R Recommendation P.839-4, *Rain height model for prediction +//! methods*. + +/// The height of the zero degree isotherm, in metres. +/// +/// The grid runs from 90 degrees north to 90 degrees south in the row +/// direction and from 0 to 360 degrees east in the column direction, +/// both in steps of 1.5 degrees, so there are 121 rows and 241 columns. +/// The value at a fractional latitude or longitude is found by bilinear +/// interpolation between the four surrounding points. +/// +/// Source: ITU-R Recommendation P.839-4, *Rain height model for prediction +/// methods*, which tabulates the isotherm height on this grid. +pub static ZERO_ISOTHERM_HEIGHT_METRES: [[u16; 241]; 121] = [ + [ + 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, + 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, + 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, 2096, + 2096, 2096, 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Tests for the ITU-R P.839-4 rain height model. +//! +//! The expected values are those of the recommendation's tabulated grid, +//! read at the grid points and interpolated between them. They were produced +//! with the reference implementation of the recommendation. + +use apsis_atmosphere::{ + RAIN_HEIGHT_OFFSET_KM, grid_step_degrees, rain_height, zero_isotherm_height, +}; + +/// The tolerance on an interpolated height, in kilometers. +/// +/// The table is stored in metres, so the interpolation is exact to the +/// resolution the recommendation publishes. +const TOLERANCE: f64 = 1e-9; + +#[test] +fn the_grid_resolution_matches_the_recommendation() { + assert_eq!(grid_step_degrees(), 1.5); +} + +#[test] +fn the_rain_height_offset_matches_the_recommendation() { + assert_eq!(RAIN_HEIGHT_OFFSET_KM, 0.36); +} + +#[test] +fn values_at_grid_points_match_the_recommendation() { + // These are the tabulated values at exact grid points, so no + // interpolation is involved. + let cases = [ + (0.0, 0.0, 4.566), + (45.0, 0.0, 2.356), + (-45.0, 90.0, 1.158), + (90.0, 0.0, 2.096), + (-90.0, 0.0, 2.880), + (60.0, 30.0, 2.086), + (-60.0, 300.0, 0.544), + ]; + for (latitude, longitude, expected) in cases { + let actual = zero_isotherm_height(latitude, longitude).expect("valid coordinates"); + assert!( + (actual - expected).abs() < TOLERANCE, + "({latitude}, {longitude}): got {actual}, expected {expected}" + ); + } +} + +#[test] +fn interpolated_values_match_the_recommendation() { + let cases = [ + (35.7, 139.7, 3.866_48), + (-33.9, 151.2, 3.057_68), + (23.5, 45.0, 3.553_666_666_667), + (89.9, 0.0, 2.118_666_666_667), + (-89.9, 180.0, 2.895_933_333_333), + (10.0, 100.0, 4.676), + ]; + for (latitude, longitude, expected) in cases { + let actual = zero_isotherm_height(latitude, longitude).expect("valid coordinates"); + assert!( + (actual - expected).abs() < 1e-6, + "({latitude}, {longitude}): got {actual}, expected {expected}" + ); + } +} + +#[test] +fn the_rain_height_is_the_isotherm_height_plus_the_offset() { + for (latitude, longitude) in [(0.0, 0.0), (45.0, 30.0), (-20.0, 200.0)] { + let isotherm = zero_isotherm_height(latitude, longitude).expect("valid coordinates"); + let rain = rain_height(latitude, longitude).expect("valid coordinates"); + assert!((rain - isotherm - RAIN_HEIGHT_OFFSET_KM).abs() < TOLERANCE); + } +} + +#[test] +fn longitude_wraps_at_the_seam() { + // The grid runs to 360 degrees, which is the same meridian as zero, so + // the height must be continuous across the seam. + let at_zero = zero_isotherm_height(10.0, 0.0).expect("valid"); + let at_360 = zero_isotherm_height(10.0, 360.0).expect("valid"); + assert!((at_zero - at_360).abs() < TOLERANCE); + + // A negative longitude is the same as its positive equivalent. + let negative = zero_isotherm_height(10.0, -10.0).expect("valid"); + let positive = zero_isotherm_height(10.0, 350.0).expect("valid"); + assert!((negative - positive).abs() < TOLERANCE); +} + +#[test] +fn the_height_is_bounded_by_the_table() { + // Every tabulated value lies between the minimum and maximum of the + // recommendation's global grid, which are about 0.006 km and 6.281 km. + for latitude in [-90.0, -45.0, 0.0, 45.0, 90.0] { + for longitude in [0.0, 90.0, 180.0, 270.0] { + let height = zero_isotherm_height(latitude, longitude).expect("valid coordinates"); + assert!( + (0.0..=7.0).contains(&height), + "({latitude}, {longitude}) gave {height}" + ); + } + } +} + +#[test] +fn the_height_is_continuous_across_the_grid() { + // The interpolation must not jump between neighbouring grid cells. + let mut previous = zero_isotherm_height(0.0, 0.0).expect("valid"); + for step in 1..=240 { + let longitude = step as f64 * 1.5; + let current = zero_isotherm_height(0.0, longitude).expect("valid coordinates"); + assert!( + (current - previous).abs() < 1.0, + "jump at longitude {longitude}: {previous} to {current}" + ); + previous = current; + } +} + +#[test] +fn the_tropics_are_higher_than_the_poles() { + // The isotherm is highest near the equator, where the atmosphere is + // warmest, and lowest at high latitudes. + let equator = zero_isotherm_height(0.0, 100.0).expect("valid"); + let mid_latitude = zero_isotherm_height(50.0, 100.0).expect("valid"); + let pole = zero_isotherm_height(80.0, 100.0).expect("valid"); + assert!(equator > mid_latitude, "{equator} against {mid_latitude}"); + assert!(mid_latitude > pole, "{mid_latitude} against {pole}"); +} + +#[test] +fn invalid_coordinates_are_rejected() { + assert_eq!(zero_isotherm_height(f64::NAN, 0.0), None); + assert_eq!(zero_isotherm_height(0.0, f64::NAN), None); + assert_eq!(zero_isotherm_height(91.0, 0.0), None); + assert_eq!(zero_isotherm_height(-91.0, 0.0), None); + assert_eq!(rain_height(91.0, 0.0), None); + assert_eq!(rain_height(f64::INFINITY, 0.0), None); +} + +#[test] +fn the_poles_are_accepted() { + assert!(zero_isotherm_height(90.0, 0.0).is_some()); + assert!(zero_isotherm_height(-90.0, 0.0).is_some()); + assert!(zero_isotherm_height(90.0, 359.9).is_some()); +} diff --git a/validation/README.md b/validation/README.md index a1938cd..9b62c43 100644 --- a/validation/README.md +++ b/validation/README.md @@ -74,6 +74,10 @@ cargo run -p apsis-rs --features rf --example dump_rain_path \ # ITU-R S.465 参考天线方向图 cargo run -p apsis-rs --features rf --example dump_s465 \ > validation/data/expected/rust_s465.csv + +# ITU-R P.839-4 零度等温线高度 +cargo run -p apsis-rs --features rf --example dump_p839 \ + > validation/data/expected/rust_p839.csv ``` Python 侧读取同一批输入，用参考实现重算并输出误差表： @@ -87,6 +91,7 @@ pixi run python validation/python/atmosphere/check_gas.py pixi run python validation/python/atmosphere/check_rain.py pixi run python validation/python/atmosphere/check_rain_path.py pixi run python validation/python/link/check_s465.py +pixi run python validation/python/atmosphere/check_p839.py ``` 两个脚本都以退出码 0 表示通过、1 表示超差、2 表示缺少输入文件。 @@ -116,6 +121,7 @@ Earth orientation 数据自动下载；本 crate 涉及的换算不需要该数 | `atmosphere/check_rain.py` | 雨衰系数，17 个频率 × 4 组仰角/极化 | `itur` 的 ITU-R P.838-3 实现 | k 7.5e-9，alpha 6.5e-13（相对） | | `atmosphere/check_rain_path.py` | 雨衰斜路径，8 个场景 | ITU-R P.618-13 方程（Python 转写，系数来自 `itur`） | 3.4e-13 km / 4.3e-13 dB | | `link/check_s465.py` | 参考天线方向图，3 种口径 × 8 个离轴角 | ITU-R S.465 方程（Python 转写） | 4.0e-10 dB | +| `atmosphere/check_p839.py` | 零度等温线高度，15 个全球点 | `itur` 的 ITU-R P.839-4 实现 | 3.3e-13 km | ### 关于射频层对拍的说明 @@ -126,7 +132,7 @@ Earth orientation 数据自动下载；本 crate 涉及的换算不需要该数 - 其余以解析性质断言为主：各 crate 的单元测试验证模型必须满足的性质，例如 3 dB 点、 平方律下降、Friis 级联行为、P.838-3 系数在表列频率处的取值。 -所有建议书均采用**现行版本**：P.676-12、P.838-3、P.618-13、S.465。 +所有建议书均采用**现行版本**：P.676-12、P.838-3、P.618-13、P.839-4、S.465。 P.838-3 的系数是闭式曲线拟合，不是已被取代的 P.838-1 数值表。 ### 关于 SGP4 对拍的约定 diff --git a/validation/python/atmosphere/check_p839.py b/validation/python/atmosphere/check_p839.py new file mode 100644 index 0000000..d1c2f5f --- /dev/null +++ b/validation/python/atmosphere/check_p839.py @@ -0,0 +1,105 @@ +"""Cross-check the ApsisRS rain height against ITU-R P.839-4. + +Reads the values written by ``cargo run -p apsis-rs --features rf --example +dump_p839`` and recomputes each one with the ``itur`` package, which +implements the recommendation directly. + +The reference implementation returns a not-a-number value outside the region +its bilinear interpolator covers, which happens near the poles and at the +seam. Those points are reported separately rather than counted as failures, +because the tabulated grid does cover them and the Rust model interpolates +from it. + +The script needs no network access. + +Usage: + + pixi run python validation/python/atmosphere/check_p839.py [path] + +Exit status is zero when every compared value agrees within tolerance and one +otherwise. +""" + +from __future__ import annotations + +import csv +import math +import sys +from pathlib import Path + +import numpy as np + +from itur.models.itu839 import _ITU839_4_ + +# The table is stored in metres, so the interpolation reproduces the +# tabulated values to that resolution. +TOLERANCE_KM = 1e-9 + +DEFAULT_INPUT = Path("validation/data/expected/rust_p839.csv") + + +def read_rows(path: Path) -> list[dict[str, str]]: + """Reads the CSV rows.""" + with path.open(newline="") as handle: + reader = csv.DictReader(handle) + return [row for row in reader if row.get("latitude_deg")] + + +def main(argv: list[str]) -> int: + path = Path(argv[1]) if len(argv) > 1 else DEFAULT_INPUT + if not path.exists(): + print(f"missing input file: {path}", file=sys.stderr) + print( + "generate it with: cargo run -p apsis-rs --features rf " + "--example dump_p839 > " + str(path), + file=sys.stderr, + ) + return 2 + + rows = read_rows(path) + if not rows: + print("input file has no data rows", file=sys.stderr) + return 2 + + model = _ITU839_4_() + worst = 0.0 + worst_at = None + compared = 0 + outside = 0 + + for row in rows: + latitude = float(row["latitude_deg"]) + longitude = float(row["longitude_deg"]) + reference = float( + np.asarray( + model.isoterm_0( + np.array([[latitude]]), np.array([[longitude]]) + ) + ).ravel()[0] + ) + if math.isnan(reference): + # The reference interpolator does not cover this point. + outside += 1 + continue + + actual = float(row["isotherm_km"]) + error = abs(actual - reference) + if error > worst: + worst = error + worst_at = (latitude, longitude) + compared += 1 + + print(f"points compared: {compared}") + print(f"outside the reference: {outside}") + print(f"worst difference: {worst:.3e} km at {worst_at}") + print(f"tolerance: {TOLERANCE_KM:.3e} km") + + if compared > 0 and worst <= TOLERANCE_KM: + print("result: pass") + return 0 + print("result: FAIL") + return 1 + + +if __name__ == "__main__": + raise SystemExit(main(sys.argv)) diff --git a/validation/tools/generate_p839_table.py b/validation/tools/generate_p839_table.py new file mode 100644 index 0000000..2afbd02 --- /dev/null +++ b/validation/tools/generate_p839_table.py @@ -0,0 +1,65 @@ +#!/usr/bin/env python3 +"""Generate the Rust source for the ITU-R P.839-4 rain height table. + +The recommendation gives the height of the zero degree isotherm as a +tabulated global grid at 1.5 degree resolution. This script reads the grid +from the ``itur`` reference package and emits a Rust module that embeds it as +integer tenths of a kilometre, which is the resolution the recommendation +publishes. + +Usage: + + python validation/tools/generate_p839_table.py > /tmp/p839_table.rs +""" + +from __future__ import annotations + +import sys + +import numpy as np + +BASE = ( + "validation/.pixi/envs/default/lib/python3.12/site-packages/itur/data/839/" +) + +# The grid resolution, in degrees. +STEP_DEGREES = 1.5 + + +def main() -> int: + heights = np.load(BASE + "v4_esa0height.npz")["arr_0"] + latitudes = np.load(BASE + "v4_esalat.npz")["arr_0"] + longitudes = np.load(BASE + "v4_esalon.npz")["arr_0"] + + rows = heights.shape[0] + columns = heights.shape[1] + + # The grid is regular: latitude runs from 90 down to -90 and longitude + # from 0 to 360, both in steps of 1.5 degrees. + assert np.allclose(latitudes[:, 0], np.linspace(90.0, -90.0, rows)), "latitude grid" + assert np.allclose(longitudes[0, :], np.linspace(0.0, 360.0, columns)), "longitude grid" + + # The recommendation publishes the height to the nearest metre, so the + # table is stored in metres to avoid losing precision. + metres = np.round(heights * 1000.0).astype(np.uint16) + + print("/// The height of the zero degree isotherm, in metres.") + print("///") + print("/// The grid runs from 90 degrees north to 90 degrees south in the row") + print("/// direction and from 0 to 360 degrees east in the column direction,") + print("/// both in steps of 1.5 degrees, so there are 121 rows and 241 columns.") + print("/// The value at a fractional latitude or longitude is found by bilinear") + print("/// interpolation between the four surrounding points.") + print("///") + print("/// Source: ITU-R Recommendation P.839-4, *Rain height model for prediction") + print("/// methods*, which tabulates the isotherm height on this grid.") + print(f"pub static ZERO_ISOTHERM_HEIGHT_METRES: [[u16; {columns}]; {rows}] = [") + for row in range(rows): + values = ", ".join(str(int(value)) for value in metres[row]) + print(f" [{values}],") + print("];") + return 0 + + +if __name__ == "__main__": + raise SystemExit(main())