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-rw-r--r--library/test/src/stats/tests.rs591
1 files changed, 591 insertions, 0 deletions
diff --git a/library/test/src/stats/tests.rs b/library/test/src/stats/tests.rs
new file mode 100644
index 000000000..3a6e8401b
--- /dev/null
+++ b/library/test/src/stats/tests.rs
@@ -0,0 +1,591 @@
+use super::*;
+
+extern crate test;
+use self::test::test::Bencher;
+use std::io;
+use std::io::prelude::*;
+
+// Test vectors generated from R, using the script src/etc/stat-test-vectors.r.
+
+macro_rules! assert_approx_eq {
+ ($a: expr, $b: expr) => {{
+ let (a, b) = (&$a, &$b);
+ assert!((*a - *b).abs() < 1.0e-6, "{} is not approximately equal to {}", *a, *b);
+ }};
+}
+
+fn check(samples: &[f64], summ: &Summary) {
+ let summ2 = Summary::new(samples);
+
+ let mut w = io::sink();
+ let w = &mut w;
+ (write!(w, "\n")).unwrap();
+
+ assert_eq!(summ.sum, summ2.sum);
+ assert_eq!(summ.min, summ2.min);
+ assert_eq!(summ.max, summ2.max);
+ assert_eq!(summ.mean, summ2.mean);
+ assert_eq!(summ.median, summ2.median);
+
+ // We needed a few more digits to get exact equality on these
+ // but they're within float epsilon, which is 1.0e-6.
+ assert_approx_eq!(summ.var, summ2.var);
+ assert_approx_eq!(summ.std_dev, summ2.std_dev);
+ assert_approx_eq!(summ.std_dev_pct, summ2.std_dev_pct);
+ assert_approx_eq!(summ.median_abs_dev, summ2.median_abs_dev);
+ assert_approx_eq!(summ.median_abs_dev_pct, summ2.median_abs_dev_pct);
+
+ assert_eq!(summ.quartiles, summ2.quartiles);
+ assert_eq!(summ.iqr, summ2.iqr);
+}
+
+#[test]
+fn test_min_max_nan() {
+ let xs = &[1.0, 2.0, f64::NAN, 3.0, 4.0];
+ let summary = Summary::new(xs);
+ assert_eq!(summary.min, 1.0);
+ assert_eq!(summary.max, 4.0);
+}
+
+#[test]
+fn test_norm2() {
+ let val = &[958.0000000000, 924.0000000000];
+ let summ = &Summary {
+ sum: 1882.0000000000,
+ min: 924.0000000000,
+ max: 958.0000000000,
+ mean: 941.0000000000,
+ median: 941.0000000000,
+ var: 578.0000000000,
+ std_dev: 24.0416305603,
+ std_dev_pct: 2.5549022912,
+ median_abs_dev: 25.2042000000,
+ median_abs_dev_pct: 2.6784484591,
+ quartiles: (932.5000000000, 941.0000000000, 949.5000000000),
+ iqr: 17.0000000000,
+ };
+ check(val, summ);
+}
+#[test]
+fn test_norm10narrow() {
+ let val = &[
+ 966.0000000000,
+ 985.0000000000,
+ 1110.0000000000,
+ 848.0000000000,
+ 821.0000000000,
+ 975.0000000000,
+ 962.0000000000,
+ 1157.0000000000,
+ 1217.0000000000,
+ 955.0000000000,
+ ];
+ let summ = &Summary {
+ sum: 9996.0000000000,
+ min: 821.0000000000,
+ max: 1217.0000000000,
+ mean: 999.6000000000,
+ median: 970.5000000000,
+ var: 16050.7111111111,
+ std_dev: 126.6914010938,
+ std_dev_pct: 12.6742097933,
+ median_abs_dev: 102.2994000000,
+ median_abs_dev_pct: 10.5408964451,
+ quartiles: (956.7500000000, 970.5000000000, 1078.7500000000),
+ iqr: 122.0000000000,
+ };
+ check(val, summ);
+}
+#[test]
+fn test_norm10medium() {
+ let val = &[
+ 954.0000000000,
+ 1064.0000000000,
+ 855.0000000000,
+ 1000.0000000000,
+ 743.0000000000,
+ 1084.0000000000,
+ 704.0000000000,
+ 1023.0000000000,
+ 357.0000000000,
+ 869.0000000000,
+ ];
+ let summ = &Summary {
+ sum: 8653.0000000000,
+ min: 357.0000000000,
+ max: 1084.0000000000,
+ mean: 865.3000000000,
+ median: 911.5000000000,
+ var: 48628.4555555556,
+ std_dev: 220.5186059170,
+ std_dev_pct: 25.4846418487,
+ median_abs_dev: 195.7032000000,
+ median_abs_dev_pct: 21.4704552935,
+ quartiles: (771.0000000000, 911.5000000000, 1017.2500000000),
+ iqr: 246.2500000000,
+ };
+ check(val, summ);
+}
+#[test]
+fn test_norm10wide() {
+ let val = &[
+ 505.0000000000,
+ 497.0000000000,
+ 1591.0000000000,
+ 887.0000000000,
+ 1026.0000000000,
+ 136.0000000000,
+ 1580.0000000000,
+ 940.0000000000,
+ 754.0000000000,
+ 1433.0000000000,
+ ];
+ let summ = &Summary {
+ sum: 9349.0000000000,
+ min: 136.0000000000,
+ max: 1591.0000000000,
+ mean: 934.9000000000,
+ median: 913.5000000000,
+ var: 239208.9888888889,
+ std_dev: 489.0899599142,
+ std_dev_pct: 52.3146817750,
+ median_abs_dev: 611.5725000000,
+ median_abs_dev_pct: 66.9482758621,
+ quartiles: (567.2500000000, 913.5000000000, 1331.2500000000),
+ iqr: 764.0000000000,
+ };
+ check(val, summ);
+}
+#[test]
+fn test_norm25verynarrow() {
+ let val = &[
+ 991.0000000000,
+ 1018.0000000000,
+ 998.0000000000,
+ 1013.0000000000,
+ 974.0000000000,
+ 1007.0000000000,
+ 1014.0000000000,
+ 999.0000000000,
+ 1011.0000000000,
+ 978.0000000000,
+ 985.0000000000,
+ 999.0000000000,
+ 983.0000000000,
+ 982.0000000000,
+ 1015.0000000000,
+ 1002.0000000000,
+ 977.0000000000,
+ 948.0000000000,
+ 1040.0000000000,
+ 974.0000000000,
+ 996.0000000000,
+ 989.0000000000,
+ 1015.0000000000,
+ 994.0000000000,
+ 1024.0000000000,
+ ];
+ let summ = &Summary {
+ sum: 24926.0000000000,
+ min: 948.0000000000,
+ max: 1040.0000000000,
+ mean: 997.0400000000,
+ median: 998.0000000000,
+ var: 393.2066666667,
+ std_dev: 19.8294393937,
+ std_dev_pct: 1.9888308788,
+ median_abs_dev: 22.2390000000,
+ median_abs_dev_pct: 2.2283567134,
+ quartiles: (983.0000000000, 998.0000000000, 1013.0000000000),
+ iqr: 30.0000000000,
+ };
+ check(val, summ);
+}
+#[test]
+fn test_exp10a() {
+ let val = &[
+ 23.0000000000,
+ 11.0000000000,
+ 2.0000000000,
+ 57.0000000000,
+ 4.0000000000,
+ 12.0000000000,
+ 5.0000000000,
+ 29.0000000000,
+ 3.0000000000,
+ 21.0000000000,
+ ];
+ let summ = &Summary {
+ sum: 167.0000000000,
+ min: 2.0000000000,
+ max: 57.0000000000,
+ mean: 16.7000000000,
+ median: 11.5000000000,
+ var: 287.7888888889,
+ std_dev: 16.9643416875,
+ std_dev_pct: 101.5828843560,
+ median_abs_dev: 13.3434000000,
+ median_abs_dev_pct: 116.0295652174,
+ quartiles: (4.2500000000, 11.5000000000, 22.5000000000),
+ iqr: 18.2500000000,
+ };
+ check(val, summ);
+}
+#[test]
+fn test_exp10b() {
+ let val = &[
+ 24.0000000000,
+ 17.0000000000,
+ 6.0000000000,
+ 38.0000000000,
+ 25.0000000000,
+ 7.0000000000,
+ 51.0000000000,
+ 2.0000000000,
+ 61.0000000000,
+ 32.0000000000,
+ ];
+ let summ = &Summary {
+ sum: 263.0000000000,
+ min: 2.0000000000,
+ max: 61.0000000000,
+ mean: 26.3000000000,
+ median: 24.5000000000,
+ var: 383.5666666667,
+ std_dev: 19.5848580967,
+ std_dev_pct: 74.4671410520,
+ median_abs_dev: 22.9803000000,
+ median_abs_dev_pct: 93.7971428571,
+ quartiles: (9.5000000000, 24.5000000000, 36.5000000000),
+ iqr: 27.0000000000,
+ };
+ check(val, summ);
+}
+#[test]
+fn test_exp10c() {
+ let val = &[
+ 71.0000000000,
+ 2.0000000000,
+ 32.0000000000,
+ 1.0000000000,
+ 6.0000000000,
+ 28.0000000000,
+ 13.0000000000,
+ 37.0000000000,
+ 16.0000000000,
+ 36.0000000000,
+ ];
+ let summ = &Summary {
+ sum: 242.0000000000,
+ min: 1.0000000000,
+ max: 71.0000000000,
+ mean: 24.2000000000,
+ median: 22.0000000000,
+ var: 458.1777777778,
+ std_dev: 21.4050876611,
+ std_dev_pct: 88.4507754589,
+ median_abs_dev: 21.4977000000,
+ median_abs_dev_pct: 97.7168181818,
+ quartiles: (7.7500000000, 22.0000000000, 35.0000000000),
+ iqr: 27.2500000000,
+ };
+ check(val, summ);
+}
+#[test]
+fn test_exp25() {
+ let val = &[
+ 3.0000000000,
+ 24.0000000000,
+ 1.0000000000,
+ 19.0000000000,
+ 7.0000000000,
+ 5.0000000000,
+ 30.0000000000,
+ 39.0000000000,
+ 31.0000000000,
+ 13.0000000000,
+ 25.0000000000,
+ 48.0000000000,
+ 1.0000000000,
+ 6.0000000000,
+ 42.0000000000,
+ 63.0000000000,
+ 2.0000000000,
+ 12.0000000000,
+ 108.0000000000,
+ 26.0000000000,
+ 1.0000000000,
+ 7.0000000000,
+ 44.0000000000,
+ 25.0000000000,
+ 11.0000000000,
+ ];
+ let summ = &Summary {
+ sum: 593.0000000000,
+ min: 1.0000000000,
+ max: 108.0000000000,
+ mean: 23.7200000000,
+ median: 19.0000000000,
+ var: 601.0433333333,
+ std_dev: 24.5161851301,
+ std_dev_pct: 103.3565983562,
+ median_abs_dev: 19.2738000000,
+ median_abs_dev_pct: 101.4410526316,
+ quartiles: (6.0000000000, 19.0000000000, 31.0000000000),
+ iqr: 25.0000000000,
+ };
+ check(val, summ);
+}
+#[test]
+fn test_binom25() {
+ let val = &[
+ 18.0000000000,
+ 17.0000000000,
+ 27.0000000000,
+ 15.0000000000,
+ 21.0000000000,
+ 25.0000000000,
+ 17.0000000000,
+ 24.0000000000,
+ 25.0000000000,
+ 24.0000000000,
+ 26.0000000000,
+ 26.0000000000,
+ 23.0000000000,
+ 15.0000000000,
+ 23.0000000000,
+ 17.0000000000,
+ 18.0000000000,
+ 18.0000000000,
+ 21.0000000000,
+ 16.0000000000,
+ 15.0000000000,
+ 31.0000000000,
+ 20.0000000000,
+ 17.0000000000,
+ 15.0000000000,
+ ];
+ let summ = &Summary {
+ sum: 514.0000000000,
+ min: 15.0000000000,
+ max: 31.0000000000,
+ mean: 20.5600000000,
+ median: 20.0000000000,
+ var: 20.8400000000,
+ std_dev: 4.5650848842,
+ std_dev_pct: 22.2037202539,
+ median_abs_dev: 5.9304000000,
+ median_abs_dev_pct: 29.6520000000,
+ quartiles: (17.0000000000, 20.0000000000, 24.0000000000),
+ iqr: 7.0000000000,
+ };
+ check(val, summ);
+}
+#[test]
+fn test_pois25lambda30() {
+ let val = &[
+ 27.0000000000,
+ 33.0000000000,
+ 34.0000000000,
+ 34.0000000000,
+ 24.0000000000,
+ 39.0000000000,
+ 28.0000000000,
+ 27.0000000000,
+ 31.0000000000,
+ 28.0000000000,
+ 38.0000000000,
+ 21.0000000000,
+ 33.0000000000,
+ 36.0000000000,
+ 29.0000000000,
+ 37.0000000000,
+ 32.0000000000,
+ 34.0000000000,
+ 31.0000000000,
+ 39.0000000000,
+ 25.0000000000,
+ 31.0000000000,
+ 32.0000000000,
+ 40.0000000000,
+ 24.0000000000,
+ ];
+ let summ = &Summary {
+ sum: 787.0000000000,
+ min: 21.0000000000,
+ max: 40.0000000000,
+ mean: 31.4800000000,
+ median: 32.0000000000,
+ var: 26.5933333333,
+ std_dev: 5.1568724372,
+ std_dev_pct: 16.3814245145,
+ median_abs_dev: 5.9304000000,
+ median_abs_dev_pct: 18.5325000000,
+ quartiles: (28.0000000000, 32.0000000000, 34.0000000000),
+ iqr: 6.0000000000,
+ };
+ check(val, summ);
+}
+#[test]
+fn test_pois25lambda40() {
+ let val = &[
+ 42.0000000000,
+ 50.0000000000,
+ 42.0000000000,
+ 46.0000000000,
+ 34.0000000000,
+ 45.0000000000,
+ 34.0000000000,
+ 49.0000000000,
+ 39.0000000000,
+ 28.0000000000,
+ 40.0000000000,
+ 35.0000000000,
+ 37.0000000000,
+ 39.0000000000,
+ 46.0000000000,
+ 44.0000000000,
+ 32.0000000000,
+ 45.0000000000,
+ 42.0000000000,
+ 37.0000000000,
+ 48.0000000000,
+ 42.0000000000,
+ 33.0000000000,
+ 42.0000000000,
+ 48.0000000000,
+ ];
+ let summ = &Summary {
+ sum: 1019.0000000000,
+ min: 28.0000000000,
+ max: 50.0000000000,
+ mean: 40.7600000000,
+ median: 42.0000000000,
+ var: 34.4400000000,
+ std_dev: 5.8685603004,
+ std_dev_pct: 14.3978417577,
+ median_abs_dev: 5.9304000000,
+ median_abs_dev_pct: 14.1200000000,
+ quartiles: (37.0000000000, 42.0000000000, 45.0000000000),
+ iqr: 8.0000000000,
+ };
+ check(val, summ);
+}
+#[test]
+fn test_pois25lambda50() {
+ let val = &[
+ 45.0000000000,
+ 43.0000000000,
+ 44.0000000000,
+ 61.0000000000,
+ 51.0000000000,
+ 53.0000000000,
+ 59.0000000000,
+ 52.0000000000,
+ 49.0000000000,
+ 51.0000000000,
+ 51.0000000000,
+ 50.0000000000,
+ 49.0000000000,
+ 56.0000000000,
+ 42.0000000000,
+ 52.0000000000,
+ 51.0000000000,
+ 43.0000000000,
+ 48.0000000000,
+ 48.0000000000,
+ 50.0000000000,
+ 42.0000000000,
+ 43.0000000000,
+ 42.0000000000,
+ 60.0000000000,
+ ];
+ let summ = &Summary {
+ sum: 1235.0000000000,
+ min: 42.0000000000,
+ max: 61.0000000000,
+ mean: 49.4000000000,
+ median: 50.0000000000,
+ var: 31.6666666667,
+ std_dev: 5.6273143387,
+ std_dev_pct: 11.3913245723,
+ median_abs_dev: 4.4478000000,
+ median_abs_dev_pct: 8.8956000000,
+ quartiles: (44.0000000000, 50.0000000000, 52.0000000000),
+ iqr: 8.0000000000,
+ };
+ check(val, summ);
+}
+#[test]
+fn test_unif25() {
+ let val = &[
+ 99.0000000000,
+ 55.0000000000,
+ 92.0000000000,
+ 79.0000000000,
+ 14.0000000000,
+ 2.0000000000,
+ 33.0000000000,
+ 49.0000000000,
+ 3.0000000000,
+ 32.0000000000,
+ 84.0000000000,
+ 59.0000000000,
+ 22.0000000000,
+ 86.0000000000,
+ 76.0000000000,
+ 31.0000000000,
+ 29.0000000000,
+ 11.0000000000,
+ 41.0000000000,
+ 53.0000000000,
+ 45.0000000000,
+ 44.0000000000,
+ 98.0000000000,
+ 98.0000000000,
+ 7.0000000000,
+ ];
+ let summ = &Summary {
+ sum: 1242.0000000000,
+ min: 2.0000000000,
+ max: 99.0000000000,
+ mean: 49.6800000000,
+ median: 45.0000000000,
+ var: 1015.6433333333,
+ std_dev: 31.8691595957,
+ std_dev_pct: 64.1488719719,
+ median_abs_dev: 45.9606000000,
+ median_abs_dev_pct: 102.1346666667,
+ quartiles: (29.0000000000, 45.0000000000, 79.0000000000),
+ iqr: 50.0000000000,
+ };
+ check(val, summ);
+}
+
+#[test]
+fn test_sum_f64s() {
+ assert_eq!([0.5f64, 3.2321f64, 1.5678f64].sum(), 5.2999);
+}
+#[test]
+fn test_sum_f64_between_ints_that_sum_to_0() {
+ assert_eq!([1e30f64, 1.2f64, -1e30f64].sum(), 1.2);
+}
+
+#[bench]
+pub fn sum_three_items(b: &mut Bencher) {
+ b.iter(|| {
+ [1e20f64, 1.5f64, -1e20f64].sum();
+ })
+}
+#[bench]
+pub fn sum_many_f64(b: &mut Bencher) {
+ let nums = [-1e30f64, 1e60, 1e30, 1.0, -1e60];
+ let v = (0..500).map(|i| nums[i % 5]).collect::<Vec<_>>();
+
+ b.iter(|| {
+ v.sum();
+ })
+}
+
+#[bench]
+pub fn no_iter(_: &mut Bencher) {}