"""Reference-value tests that pin numerical behaviour from the Python side.""" from __future__ import annotations import math import numpy as np import pytest import wickra as ta def test_sma_constant_series(): out = ta.SMA(5).batch(np.full(20, 42.0, dtype=np.float64)) # First 4 are warmup -> NaN; rest equal 42. assert np.all(np.isnan(out[:4])) assert np.allclose(out[4:], 42.0) def test_sma_known_window(): # SMA(3) of [2, 4, 6, 8, 10] -> [_, _, 4, 6, 8] out = ta.SMA(3).batch(np.array([2.0, 4.0, 6.0, 8.0, 10.0])) assert math.isnan(out[0]) and math.isnan(out[1]) np.testing.assert_allclose(out[2:], [4.0, 6.0, 8.0]) def test_ema_seed_equals_simple_mean_of_first_window(): # EMA(5) seed = mean([10, 20, 30, 40, 50]) = 30 out = ta.EMA(5).batch(np.array([10.0, 20.0, 30.0, 40.0, 50.0])) assert math.isnan(out[0]) assert math.isclose(out[4], 30.0, abs_tol=1e-12) def test_wma_known_window(): # WMA(4) of [1, 2, 3, 4] = (1*1 + 2*2 + 3*3 + 4*4)/10 = 3 out = ta.WMA(4).batch(np.array([1.0, 2.0, 3.0, 4.0])) assert math.isnan(out[0]) and math.isnan(out[1]) and math.isnan(out[2]) assert math.isclose(out[3], 3.0, abs_tol=1e-12) def test_rsi_pure_uptrend_is_100(): out = ta.RSI(14).batch(np.arange(1.0, 21.0, dtype=np.float64)) np.testing.assert_allclose(out[14:], 100.0) def test_rsi_pure_downtrend_is_0(): out = ta.RSI(14).batch(np.arange(20.0, 0.0, -1.0)) np.testing.assert_allclose(out[14:], 0.0) def test_rsi_flat_series_is_50(): out = ta.RSI(14).batch(np.full(30, 100.0)) np.testing.assert_allclose(out[14:], 50.0) def test_rsi_wilder_textbook_first_value(): """Wilder's original 14-period example, ~70.46 at the first emit.""" prices = np.array( [ 44.34, 44.09, 44.15, 43.61, 44.33, 44.83, 45.10, 45.42, 45.84, 46.08, 45.89, 46.03, 45.61, 46.28, 46.28, ], dtype=np.float64, ) out = ta.RSI(14).batch(prices) assert math.isclose(out[14], 70.464, abs_tol=0.05) def test_alma_constant_series_yields_the_constant(): # ALMA's Gaussian weights are normalised, so any constant series is # reproduced exactly after warmup. out = ta.ALMA(9, 0.85, 6.0).batch(np.full(30, 42.0, dtype=np.float64)) assert np.all(np.isnan(out[:8])) np.testing.assert_allclose(out[8:], 42.0, atol=1e-12) def test_alma_reference_value_period_3(): # ALMA(period=3, offset=0.85, sigma=6) on [10, 20, 30]. # m = 0.85 * 2 = 1.7; s = 3 / 6 = 0.5; 2*s^2 = 0.5. out = ta.ALMA(3, 0.85, 6.0).batch(np.array([10.0, 20.0, 30.0])) assert math.isnan(out[0]) and math.isnan(out[1]) # Independently compute the expected Gaussian-weighted sum. w = np.exp(-((np.arange(3, dtype=np.float64) - 1.7) ** 2) / 0.5) expected = float(np.dot([10.0, 20.0, 30.0], w) / w.sum()) assert math.isclose(out[2], expected, abs_tol=1e-12) # Sanity: heavy offset toward the newest sample lifts the average above # the simple mean of 20. assert out[2] > 20.0 def test_mcginley_dynamic_constant_series_yields_the_constant(): # ratio = 1, so the recurrence collapses to MD + 0 / divisor = MD. out = ta.McGinleyDynamic(5).batch(np.full(30, 42.0, dtype=np.float64)) assert np.all(np.isnan(out[:4])) np.testing.assert_allclose(out[4:], 42.0, atol=1e-12) def test_mcginley_dynamic_reference_value(): # Period 3, seed = SMA([10, 20, 30]) = 20.0. Next price 40.0: # ratio = 2; divisor = 0.6 * 3 * 16 = 28.8; next = 20 + 20/28.8. out = ta.McGinleyDynamic(3).batch(np.array([10.0, 20.0, 30.0, 40.0])) assert math.isnan(out[0]) and math.isnan(out[1]) assert math.isclose(out[2], 20.0, abs_tol=1e-12) expected = 20.0 + 20.0 / (0.6 * 3.0 * 16.0) assert math.isclose(out[3], expected, abs_tol=1e-12) def test_frama_constant_series_yields_the_constant(): # Flat input -> degenerate ranges -> alpha clamps to 0.01 and the EMA # recurrence holds the seed value. out = ta.FRAMA(4).batch(np.full(20, 42.0, dtype=np.float64)) assert np.all(np.isnan(out[:3])) np.testing.assert_allclose(out[3:], 42.0, atol=1e-12) def test_frama_pure_uptrend_hugs_latest(): # Monotonic uptrend -> alpha pushed toward 1.0, FRAMA tracks close. out = ta.FRAMA(4).batch(np.arange(1.0, 9.0, dtype=np.float64)) assert math.isclose(out[-1], 8.0, abs_tol=0.05) def test_jma_constant_series_yields_the_constant(): # JMA seeds e0 and the output to the first input, so a constant series # is reproduced exactly from the first sample. out = ta.JMA(14, 0.0, 2).batch(np.full(30, 42.0, dtype=np.float64)) np.testing.assert_allclose(out, 42.0, atol=1e-12) def test_evwma_reference_value_period_2(): # EVWMA(2). Bars: (close, volume) = (10, 1), (20, 3), (30, 1). # Bar 2: sum_v = 4, seeded prev = 20, EVWMA = (1*20 + 3*20)/4 = 20. # Bar 3: sum_v = 4 (drops 1, gains 1), EVWMA = (3*20 + 1*30)/4 = 22.5. out = ta.EVWMA(2).batch(np.array([10.0, 20.0, 30.0]), np.array([1.0, 3.0, 1.0])) assert math.isnan(out[0]) assert math.isclose(out[1], 20.0, abs_tol=1e-12) assert math.isclose(out[2], 22.5, abs_tol=1e-12) def test_alligator_constant_series_holds_at_median_price(): # Median price = (11 + 9) / 2 = 10 on every candle, so all three SMMAs # seed at 10 and stay there. n = 30 high = np.full(n, 11.0) low = np.full(n, 9.0) out = ta.Alligator(13, 8, 5).batch(high, low) assert out.shape == (n, 3) for row in out[12:]: assert math.isclose(row[0], 10.0, abs_tol=1e-12) assert math.isclose(row[1], 10.0, abs_tol=1e-12) assert math.isclose(row[2], 10.0, abs_tol=1e-12) def test_vidya_constant_series_holds_seed(): # CMO = 0 on a flat series -> alpha = 0 -> VIDYA holds its seed value. out = ta.VIDYA(14, 4).batch(np.full(20, 42.0, dtype=np.float64)) assert np.all(np.isnan(out[:4])) np.testing.assert_allclose(out[4:], 42.0, atol=1e-12) def test_macd_constant_series_converges_to_zero(): out = ta.MACD().batch(np.full(200, 100.0)) # Last row's MACD and signal must be ~0. last = out[-1] assert math.isclose(last[0], 0.0, abs_tol=1e-9) assert math.isclose(last[1], 0.0, abs_tol=1e-9) assert math.isclose(last[2], 0.0, abs_tol=1e-9) def test_bollinger_constant_series_zero_width(): out = ta.BollingerBands(20, 2.0).batch(np.full(50, 100.0)) row = out[-1] np.testing.assert_allclose(row, [100.0, 100.0, 100.0, 0.0], atol=1e-12) def test_bollinger_upper_middle_lower_ordering(): out = ta.BollingerBands(20, 2.0).batch(np.linspace(50.0, 150.0, 100)) ready = out[~np.isnan(out[:, 0])] assert np.all(ready[:, 0] >= ready[:, 1]) assert np.all(ready[:, 1] >= ready[:, 2]) assert np.all(ready[:, 3] >= 0.0) def test_atr_constant_range_constant_output(): high = np.full(30, 11.0) low = np.full(30, 9.0) close = np.full(30, 10.0) out = ta.ATR(14).batch(high, low, close) # Once seeded, ATR equals the constant TR of 2. np.testing.assert_allclose(out[13:], 2.0, atol=1e-12) def test_stochastic_extremes(): # Close at the top of a 3-period range -> %K = 100. high = np.array([10.0, 11.0, 12.0]) low = np.array([8.0, 9.0, 10.0]) close = np.array([9.0, 10.0, 12.0]) out = ta.Stochastic(3, 1).batch(high, low, close) assert math.isclose(out[2, 0], 100.0, abs_tol=1e-12) def test_obv_cumulative_known_sequence(): close = np.array([10.0, 11.0, 10.5, 10.5, 12.0]) volume = np.array([100.0, 20.0, 30.0, 40.0, 10.0]) out = ta.OBV().batch(close, volume) np.testing.assert_allclose(out, [0.0, 20.0, -10.0, -10.0, 0.0])