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indicators.py
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1313 lines (1049 loc) · 37.4 KB
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"""
indicators.py - 技术指标计算模块 (V16 扩展版)
所有函数均为纯函数: 输入 numpy 数组,输出计算结果。
不依赖 GM SDK 或任何外部状态,方便单独测试和复用。
指标清单:
calc_rsi() - 相对强弱指标
calc_atr() - 平均真实波幅(动态止损基础)
calc_sma() - 简单移动平均
calc_volume_ratio() - 量比(当日量 / N日均量)
calc_drawdown() - 近期最大回撤幅度
detect_reversal() - K线反转形态识别
detect_bullish_engulfing() - 看涨吞没形态
detect_hammer() - 锤子线形态
classify_regime() - 市场状态分类(牛/熊/震荡)
"""
import numpy as np
# =============================================================================
# RSI — 相对强弱指标
# =============================================================================
def calc_rsi(closes, period=6):
"""
计算 RSI(相对强弱指标)。
算法:
1. 取最近 period+1 个收盘价,计算 period 个涨跌变化 ΔP
2. 分离涨幅(正值)和跌幅(负值取绝对值)
3. RS = 平均涨幅 / 平均跌幅
4. RSI = 100 - 100 / (1 + RS)
参数:
closes : np.ndarray 收盘价序列(旧→新)
period : int RSI 周期,默认 6
返回:
float | None RSI ∈ [0, 100],数据不足返回 None
"""
n = len(closes)
if n < period + 1:
return None
recent = closes[-(period + 1):]
deltas = np.diff(recent)
gains = np.where(deltas > 0, deltas, 0.0)
losses = np.where(deltas < 0, -deltas, 0.0)
avg_gain = np.mean(gains)
avg_loss = np.mean(losses)
if avg_loss == 0:
return 100.0 # 全涨 → RSI 满值
rs = avg_gain / avg_loss
return 100.0 - 100.0 / (1.0 + rs)
# =============================================================================
# ATR — 平均真实波幅(动态止损核心指标)
# =============================================================================
def calc_atr(highs, lows, closes, period=14):
"""
计算 ATR(Average True Range,平均真实波幅)。
ATR 度量的是价格的真实波动范围,考虑隔夜跳空影响。
用于动态止损: 止损幅度 = N × ATR,而非固定百分比。
算法:
1. True Range = max(当日高-当日低,
|当日高-前日收|,
|当日低-前日收|)
2. ATR = TR 的 N 日简单移动平均
参数:
highs : np.ndarray 最高价序列
lows : np.ndarray 最低价序列
closes : np.ndarray 收盘价序列
period : int ATR 周期,默认 14
返回:
float | None ATR 值,数据不足返回 None
使用示例:
对于价格为 10 元的股票,ATR=0.3 → 波动率 3%
1.5x ATR 止损 = 4.5% — 给正常波动留足空间
"""
n = len(closes)
if n < period + 1:
return None
# 取最近 period+1 个 bar
h = highs[-(period + 1):]
l = lows[-(period + 1):]
c = closes[-(period + 1):]
# 计算 True Range
tr_list = []
for i in range(1, len(h)):
tr = max(
h[i] - l[i], # 当日振幅
abs(h[i] - c[i - 1]), # 当日高 - 前收
abs(l[i] - c[i - 1]) # 当日低 - 前收
)
tr_list.append(tr)
return float(np.mean(tr_list))
def calc_atr_pct(highs, lows, closes, period=14):
"""
计算 ATR 占价格的比例(波动率百分比)。
返回:
float | None ATR / 当前价格,如 0.03 表示波动率 3%
"""
atr = calc_atr(highs, lows, closes, period)
if atr is None:
return None
price = closes[-1]
if price <= 0:
return None
return atr / price
# =============================================================================
# SMA — 简单移动平均
# =============================================================================
def calc_sma(closes, period=20):
"""
计算简单移动平均(SMA)。
参数:
closes : np.ndarray 收盘价序列
period : int 均线周期
返回:
float | None MA 值
"""
if len(closes) < period:
return None
return float(np.mean(closes[-period:]))
def calc_ma_crossover(closes, fast=20, slow=60):
"""V30.4: MA金叉/死叉检测 (借鉴runoob教程)"""
n = len(closes)
if n < slow + 2:
return {'golden_cross': False, 'dead_cross': False, 'bullish': False, 'spread': 0}
import numpy as np
fast_ma = float(np.mean(closes[-fast:]))
slow_ma = float(np.mean(closes[-slow:]))
prev_fast = float(np.mean(closes[-(fast+1):-1]))
prev_slow = float(np.mean(closes[-(slow+1):-1]))
golden_cross = (prev_fast <= prev_slow) and (fast_ma > slow_ma)
dead_cross = (prev_fast >= prev_slow) and (fast_ma < slow_ma)
spread = (fast_ma - slow_ma) / slow_ma * 100 if slow_ma > 0 else 0
return {'golden_cross': golden_cross, 'dead_cross': dead_cross,
'bullish': fast_ma > slow_ma, 'spread': round(spread, 2)}
# =============================================================================
# 成交量分析
# =============================================================================
def calc_volume_ratio(volumes, period=20):
"""
计算量比: 当日成交量 / N 日均量。
放量说明有资金介入,配合 RSI 超卖可能是反转信号。
缩量反弹则可靠性较低。
参数:
volumes : np.ndarray 成交量序列
period : int 均量周期
返回:
float | None 量比,如 1.5 表示放量 50%
"""
n = len(volumes)
if n < period + 1:
return None
today_vol = float(volumes[-1])
avg_vol = float(np.mean(volumes[-(period + 1):-1]))
if avg_vol <= 0:
return 1.0
return today_vol / avg_vol
# =============================================================================
# 跌幅分析
# =============================================================================
def calc_drawdown(closes, period=20):
"""
计算近期最大回撤(从 N 日内最高点到当前价的跌幅)。
均值回归策略的核心假设: 跌幅越大,反弹动力越强。
但需要配合其他因子过滤持续下跌的"价值陷阱"。
参数:
closes : np.ndarray 收盘价序列
period : int 回看窗口
返回:
float | None 回撤比例,如 0.15 表示从高点跌了 15%
"""
if len(closes) < period:
return None
recent = closes[-period:]
peak = np.max(recent)
current = recent[-1]
if peak <= 0:
return None
return (peak - current) / peak
# =============================================================================
# K线反转形态识别
# =============================================================================
def detect_bullish_engulfing(opens, highs, lows, closes):
"""
识别看涨吞没形态。
形态特征:
- 前一日为阴线(close < open)
- 当日为阳线(close > open)
- 当日实体完全吞没前一日实体
(当日开 ≤ 前日收 AND 当日收 ≥ 前日开)
看涨吞没是强反转信号,尤其在下跌趋势末端出现时。
返回:
bool
"""
if len(closes) < 2:
return False
prev_open = float(opens[-2])
prev_close = float(closes[-2])
cur_open = float(opens[-1])
cur_close = float(closes[-1])
# 前日阴线
if prev_close >= prev_open:
return False
# 当日阳线
if cur_close <= cur_open:
return False
# 吞没条件
if cur_open <= prev_close and cur_close >= prev_open:
return True
return False
def detect_hammer(opens, highs, lows, closes):
"""
识别锤子线形态。
形态特征:
- 实体较小(实体 / 总振幅 < 0.3)
- 下影线很长(下影线 ≥ 2 × 实体)
- 上影线很短(上影线 ≤ 0.3 × 实体)
- 出现在下跌趋势中(由调用方确认)
锤子线表示卖方曾大幅打压但买方强势反击,
是潜在的底部反转信号。
返回:
bool
"""
if len(closes) < 1:
return False
op = float(opens[-1])
hi = float(highs[-1])
lo = float(lows[-1])
cl = float(closes[-1])
body = abs(cl - op)
total = hi - lo
upper = hi - max(op, cl)
lower = min(op, cl) - lo
if total <= 0 or body <= 0:
return False
# 实体占比小(< 30% 振幅)
if body / total > 0.3:
return False
# 下影线至少 2 倍实体
if lower < 2 * body:
return False
# 上影线短
if upper > 0.3 * body:
return False
return True
def detect_reversal(opens, highs, lows, closes):
"""
综合反转形态检测。
返回:
dict: {
'bullish_engulfing': bool,
'hammer': bool,
'score': float (0~1), 反转信号强度
}
"""
engulfing = detect_bullish_engulfing(opens, highs, lows, closes)
hammer = detect_hammer(opens, highs, lows, closes)
# 形态评分: 吞没 = 1.0, 锤子线 = 0.7, 普通阳线 = 0.3
score = 0.0
if engulfing:
score = 1.0
elif hammer:
score = 0.7
elif closes[-1] > opens[-1]:
score = 0.3
return {
'bullish_engulfing': engulfing,
'hammer': hammer,
'score': score,
}
# =============================================================================
# 市场状态分类
# =============================================================================
def classify_regime(closes, ma_period=60, bear_threshold=-0.08):
"""
判断当前市场状态: 牛市 / 熊市 / 震荡。
基于两个维度判断:
1. 趋势方向: 价格 vs MA(ma_period)
2. 近期动量: N 日涨跌幅
参数:
closes : np.ndarray 指数收盘价序列
ma_period : int 趋势均线周期
bear_threshold: float 熊市判定阈值(20日跌幅)
返回:
str: 'bull' | 'range' | 'bear'
"""
if len(closes) < ma_period:
return 'range' # 数据不足,默认震荡
current = closes[-1]
ma = calc_sma(closes, ma_period)
if ma is None:
return 'range'
# 计算近期动量(用 MA_PERIOD 对应的时间窗口)
n = len(closes)
if n >= ma_period + 1:
chg = (closes[-1] / closes[-(ma_period + 1)] - 1) if closes[-(ma_period + 1)] > 0 else 0
elif n >= 22:
chg = (closes[-1] / closes[-22] - 1) if closes[-22] > 0 else 0
elif n >= 5:
chg = (closes[-1] / closes[-5] - 1) if closes[-5] > 0 else 0
else:
chg = 0
# 分类逻辑
if chg <= bear_threshold:
return 'bear' # 近期跌幅超过阈值 → 熊市
if current > ma:
return 'bull' # 价格在均线上方 → 牛市
return 'range' # 其余 → 震荡
# =============================================================================
# V30.4: 增强K线形态识别 (借鉴 Vibe-Trading pattern_tool)
# =============================================================================
def detect_candlestick(open_, high, low, close, prev_open=None, prev_close=None):
"""
综合K线形态检测: doji, hammer, bullish/bearish engulfing。
Args:
open_: 当日开盘价 (float)
high: 当日最高价
low: 当日最低价
close: 当日收盘价
prev_open: 前日开盘价 (engulfing需要)
prev_close: 前日收盘价 (engulfing需要)
Returns:
dict: {'doji': bool, 'hammer': bool, 'engulf_bull': bool, 'engulf_bear': bool}
"""
body = abs(close - open_)
total_range = high - low
upper_shadow = high - max(open_, close)
lower_shadow = min(open_, close) - low
result = {'doji': False, 'hammer': False, 'engulf_bull': False, 'engulf_bear': False}
if total_range <= 0:
return result
# Doji: 实体/总幅度 < 10%
if body / total_range < 0.10:
result['doji'] = True
# Hammer: 下影线 > 2x实体, 上影线 < 实体
if lower_shadow > 2 * body and upper_shadow < body and body > 0:
result['hammer'] = True
# Engulfing (需要前日数据)
if prev_open is not None and prev_close is not None:
prev_body = abs(prev_close - prev_open)
# Bullish engulfing: 前日阴线 + 今日阳线 + 吞噬
if (prev_close < prev_open and close > open_
and open_ <= prev_close and close >= prev_open
and body > prev_body):
result['engulf_bull'] = True
# Bearish engulfing: 前日阳线 + 今日阴线 + 吞噬
if (prev_open < prev_close and close < open_
and open_ >= prev_close and close <= prev_open
and body > prev_body):
result['engulf_bear'] = True
return result
def detect_peaks_valleys(closes, window=5):
"""
检测价格序列中的峰点和谷点 (借鉴 Vibe-Trading)。
Args:
closes: np.ndarray or list of close prices
window: 半窗口大小
Returns:
dict: {'peaks': [indices], 'valleys': [indices]}
"""
n = len(closes)
if n < 2 * window + 1:
return {'peaks': [], 'valleys': []}
peaks, valleys = [], []
for i in range(window, n - window):
seg = closes[i - window:i + window + 1]
if closes[i] == max(seg):
peaks.append(i)
if closes[i] == min(seg):
valleys.append(i)
return {'peaks': peaks, 'valleys': valleys}
# ====== V30.5 高级指标 ======
def calc_rsrs(high, low, N=18, M=400):
"""
计算 RSRS 指标。
Args:
high: 最高价序列 (list or np.ndarray)
low: 最低价序列
N: 回归窗口 (默认18日)
M: 历史斜率参考窗口 (默认400日)
Returns:
{
'slope': float (当前斜率),
'zscore': float (标准化得分),
'r2': float (拟合优度),
'signal': 'bullish' | 'bearish' | 'neutral'
}
"""
n = len(high)
if n < N + 1:
return {'slope': 0, 'zscore': 0, 'r2': 0, 'signal': 'neutral'}
high_arr = np.array(high[-N:])
low_arr = np.array(low[-N:])
# OLS: high = slope * low + intercept
try:
slope, intercept = np.polyfit(low_arr, high_arr, 1)
# R^2
predicted = slope * low_arr + intercept
ss_res = np.sum((high_arr - predicted) ** 2)
ss_tot = np.sum((high_arr - np.mean(high_arr)) ** 2)
r2 = 1 - ss_res / ss_tot if ss_tot > 0 else 0
except Exception:
return {'slope': 0, 'zscore': 0, 'r2': 0, 'signal': 'neutral'}
# 计算历史斜率序列 (滑动窗口)
if n >= M + N:
historical_slopes = []
for i in range(min(M, n - N)):
h = high[i:i + N]
l = low[i:i + N]
try:
s, _ = np.polyfit(l, h, 1)
historical_slopes.append(s)
except Exception:
pass
if len(historical_slopes) >= 60:
mean_slope = np.mean(historical_slopes)
std_slope = np.std(historical_slopes)
if std_slope > 0.001:
zscore = (slope - mean_slope) / std_slope
else:
zscore = 0
else:
zscore = 0
else:
zscore = 0
# 信号判断
if zscore > 0.7 and r2 > 0.6:
signal = 'bullish'
elif zscore < -0.7 and r2 > 0.6:
signal = 'bearish'
else:
signal = 'neutral'
return {
'slope': round(float(slope), 4),
'zscore': round(float(zscore), 2),
'r2': round(float(r2), 3),
'signal': signal
}
def calc_rsrs_score(closes, highs, lows, N=18):
"""
简化版 RSRS 评分 — 用于选股打分。
基于斜率标准化+动量修正。
返回 0~1 之间的分数,越高越看涨。
"""
n = len(closes)
if n < N + 10:
return 0.5
rsrs = calc_rsrs(highs, lows, N, min(200, n))
# 基础分: Z-score 映射到 [0,1]
z = np.clip(rsrs['zscore'], -2, 2)
base_score = (z + 2) / 4 # [-2,2] → [0,1]
# R² 加权: 低R² = 噪声大 = 降权
r2_weight = min(1.0, max(0.3, rsrs['r2']))
# 价格动量修正
ret_5d = (closes[-1] - closes[-6]) / closes[-6] if closes[-6] > 0 else 0
momentum_bonus = np.clip(ret_5d * 2, -0.15, 0.15)
score = base_score * r2_weight + momentum_bonus
return round(max(0.0, min(1.0, score)), 3)
# ====== V30.5 高级指标 (merged) ======
def calc_hurst(series, max_lag=20):
"""
计算 Hurst 指数 — 判断市场价格行为特征。
H < 0.5: 均值回归 (利于 MR 策略)
H ≈ 0.5: 随机游走
H > 0.5: 趋势持续 (利于 MOM 策略)
使用 R/S 分析方法 (Rescaled Range Analysis)
Args:
series: 价格序列 (list or np.ndarray)
max_lag: 最大滞后阶数
Returns:
float: Hurst指数 (0~1)
"""
if len(series) < 30:
return 0.5 # 样本不足,默认随机游走
log_returns = np.diff(np.log(series))
if len(log_returns) < 20:
return 0.5
lags = range(2, min(max_lag, len(log_returns) // 2))
tau = []
for lag in lags:
# 分割为多个子序列
n_splits = len(log_returns) // lag
if n_splits < 2:
break
rs_values = []
for i in range(n_splits):
chunk = log_returns[i * lag:(i + 1) * lag]
mean_chunk = np.mean(chunk)
dev = chunk - mean_chunk
Z = np.cumsum(dev)
R = np.max(Z) - np.min(Z)
S = np.std(chunk)
if S > 0:
rs_values.append(R / S)
if rs_values:
tau.append([lag, np.mean(rs_values)])
if len(tau) < 4:
return 0.5
# 线性回归 log(RS) = H * log(lag)
log_lag = np.log([t[0] for t in tau])
log_rs = np.log([t[1] for t in tau])
# 简单线性回归
n = len(log_lag)
x_mean = np.mean(log_lag)
y_mean = np.mean(log_rs)
num = sum((log_lag[i] - x_mean) * (log_rs[i] - y_mean) for i in range(n))
den = sum((log_lag[i] - x_mean) ** 2 for i in range(n))
if den == 0:
return 0.5
H = num / den
return max(0.01, min(0.99, H))
# ============================================================
# ADX 趋势强度 (借鉴 QUANTAXIS)
# ============================================================
def calc_adx(high, low, close, period=14):
"""
计算 ADX (Average Directional Index) — 趋势强度指标。
ADX < 20: 无趋势 (震荡市)
ADX 20-30: 趋势形成中
ADX > 30: 强趋势市场
ADX > 50: 极强趋势 (极端)
Returns:
{
'adx': float (当前ADX值),
'plus_di': float (正向指标),
'minus_di': float (负向指标),
'is_trending': bool (是否有趋势),
'direction': 'up' | 'down' | 'none'
}
"""
n = len(close)
if n < period + 1:
return {'adx': 20, 'plus_di': 0, 'minus_di': 0, 'is_trending': False, 'direction': 'none'}
# True Range
tr = []
for i in range(1, n):
hl = high[i] - low[i]
hc = abs(high[i] - close[i - 1])
lc = abs(low[i] - close[i - 1])
tr.append(max(hl, hc, lc))
# Directional Movement
plus_dm = []
minus_dm = []
for i in range(1, n):
up = high[i] - high[i - 1]
down = low[i - 1] - low[i]
if up > down and up > 0:
plus_dm.append(up)
else:
plus_dm.append(0)
if down > up and down > 0:
minus_dm.append(down)
else:
minus_dm.append(0)
# 平滑 (Wilder's smoothing)
atr_val = np.mean(tr[-period:])
plus_di = 100 * np.mean(plus_dm[-period:]) / max(atr_val, 0.001)
minus_di = 100 * np.mean(minus_dm[-period:]) / max(atr_val, 0.001)
# ADX = 100 * abs(plus_di - minus_di) / (plus_di + minus_di)
di_sum = plus_di + minus_di
dx = 100 * abs(plus_di - minus_di) / max(di_sum, 0.001)
# 简单均值作为ADX
adx = dx if n < period * 2 else np.mean([dx] + [0] * (period - 1))
# 也可以使用简单平滑
adx_smooth = float(dx) # 简化为DX
is_trending = adx_smooth > 20
if plus_di > minus_di:
direction = 'up'
elif minus_di > plus_di:
direction = 'down'
else:
direction = 'none'
return {
'adx': round(float(adx_smooth), 1),
'plus_di': round(float(plus_di), 1),
'minus_di': round(float(minus_di), 1),
'is_trending': is_trending,
'direction': direction
}
# ============================================================
# CHO 佳庆指标 (借鉴 QUANTAXIS)
# ============================================================
def calc_cho(high, low, close, volume, short_period=3, long_period=10):
"""
CHO (Chaikin Oscillator) — 量价确认指标。
正 CHO: 资金流入 (积累)
负 CHO: 资金流出 (分配)
Returns:
float: CHO值
"""
n = len(close)
if n < long_period + 1:
return 0.0
# A/D Line = sum((close-low)-(high-close))/(high-low) * volume
ad = []
for i in range(n):
hl = high[i] - low[i]
if hl > 0:
clv = ((close[i] - low[i]) - (high[i] - close[i])) / hl
else:
clv = 0
ad.append(clv * volume[i])
# CHO = EMA(AD, short) - EMA(AD, long)
ad_series = np.array(ad)
ema_short = _ema(ad_series, short_period)
ema_long = _ema(ad_series, long_period)
if ema_short is None or ema_long is None:
return 0.0
return round(float(ema_short - ema_long), 2)
def _ema(data, period):
"""指数移动平均"""
if len(data) < period:
return None
alpha = 2.0 / (period + 1)
result = data[0]
for x in data[1:]:
result = alpha * x + (1 - alpha) * result
return result
def calc_rsrs(high, low, N=18, M=400):
"""
计算 RSRS 指标。
Args:
high: 最高价序列 (list or np.ndarray)
low: 最低价序列
N: 回归窗口 (默认18日)
M: 历史斜率参考窗口 (默认400日)
Returns:
{
'slope': float (当前斜率),
'zscore': float (标准化得分),
'r2': float (拟合优度),
'signal': 'bullish' | 'bearish' | 'neutral'
}
"""
n = len(high)
if n < N + 1:
return {'slope': 0, 'zscore': 0, 'r2': 0, 'signal': 'neutral'}
high_arr = np.array(high[-N:])
low_arr = np.array(low[-N:])
# OLS: high = slope * low + intercept
try:
slope, intercept = np.polyfit(low_arr, high_arr, 1)
# R^2
predicted = slope * low_arr + intercept
ss_res = np.sum((high_arr - predicted) ** 2)
ss_tot = np.sum((high_arr - np.mean(high_arr)) ** 2)
r2 = 1 - ss_res / ss_tot if ss_tot > 0 else 0
except Exception:
return {'slope': 0, 'zscore': 0, 'r2': 0, 'signal': 'neutral'}
# 计算历史斜率序列 (滑动窗口)
if n >= M + N:
historical_slopes = []
for i in range(min(M, n - N)):
h = high[i:i + N]
l = low[i:i + N]
try:
s, _ = np.polyfit(l, h, 1)
historical_slopes.append(s)
except Exception:
pass
if len(historical_slopes) >= 60:
mean_slope = np.mean(historical_slopes)
std_slope = np.std(historical_slopes)
if std_slope > 0.001:
zscore = (slope - mean_slope) / std_slope
else:
zscore = 0
else:
zscore = 0
else:
zscore = 0
# 信号判断
if zscore > 0.7 and r2 > 0.6:
signal = 'bullish'
elif zscore < -0.7 and r2 > 0.6:
signal = 'bearish'
else:
signal = 'neutral'
return {
'slope': round(float(slope), 4),
'zscore': round(float(zscore), 2),
'r2': round(float(r2), 3),
'signal': signal
}
def calc_rsrs_score(closes, highs, lows, N=18):
"""
简化版 RSRS 评分 — 用于选股打分。
基于斜率标准化+动量修正。
返回 0~1 之间的分数,越高越看涨。
"""
n = len(closes)
if n < N + 10:
return 0.5
rsrs = calc_rsrs(highs, lows, N, min(200, n))
# 基础分: Z-score 映射到 [0,1]
z = np.clip(rsrs['zscore'], -2, 2)
base_score = (z + 2) / 4 # [-2,2] → [0,1]
# R² 加权: 低R² = 噪声大 = 降权
r2_weight = min(1.0, max(0.3, rsrs['r2']))
# 价格动量修正
ret_5d = (closes[-1] - closes[-6]) / closes[-6] if closes[-6] > 0 else 0
momentum_bonus = np.clip(ret_5d * 2, -0.15, 0.15)
score = base_score * r2_weight + momentum_bonus
return round(max(0.0, min(1.0, score)), 3)
# ====== V30.5 ======
def winsorize_mad(series, n_mad=3.0):
"""
MAD 去极值 — 中位数绝对偏差法。
Args:
series: 因子值序列
n_mad: MAD 倍数阈值
Returns:
去极值后的序列
"""
median = np.median(series)
mad = np.median(np.abs(series - median))
if mad < 0.001:
return series
upper = median + n_mad * mad * 1.4826 # 1.4826 = 正态化系数
lower = median - n_mad * mad * 1.4826
return np.clip(series, lower, upper)
def winsorize_percentile(series, lower_pct=1, upper_pct=99):
"""
百分位去极值。
Args:
series: 因子值序列
lower_pct: 下百分位
upper_pct: 上百分位
Returns:
去极值后的序列
"""
lo = np.percentile(series, lower_pct)
hi = np.percentile(series, upper_pct)
return np.clip(series, lo, hi)
def standardize(series):
"""
Z-score 标准化: (x - μ) / σ。
Returns:
标准化后的序列,均值为 0 标准差为 1
"""
std = np.std(series)
if std < 0.001:
return np.zeros_like(series)
return (series - np.mean(series)) / std
def standardize_cross_sectional(factor_matrix):
"""
截面标准化 — 每个交易日独立标准化各股票的因子值。
Args:
factor_matrix: (n_dates, n_stocks) 的因子矩阵
Returns:
截面标准化后的矩阵
"""
result = np.zeros_like(factor_matrix, dtype=float)
for i in range(factor_matrix.shape[0]):
row = factor_matrix[i]
mask = ~np.isnan(row)
if mask.sum() > 1:
result[i][mask] = standardize(row[mask])
return result
def neutralize_by_sector(factor_values, sectors):
"""
行业中性化 — 移除行业均值影响。
Args:
factor_values: 因子值数组 (n_stocks,)
sectors: 行业标签数组 (n_stocks,)
Returns:
行业中性化后的因子值
"""
result = np.array(factor_values, dtype=float)
unique_sectors = set(sectors)
for sec in unique_sectors:
mask = np.array([s == sec for s in sectors])
if mask.sum() > 1:
sec_mean = np.mean(factor_values[mask])
result[mask] = result[mask] - sec_mean
return result
def neutralize_by_market_cap(factor_values, market_caps):
"""
市值中性化 — 回归移除市值影响。
Args:
factor_values: 因子值
market_caps: 市值 (对数)
Returns:
市值中性化后的残差
"""
X = np.column_stack([np.ones(len(factor_values)), market_caps])
mask = ~(np.isnan(factor_values) | np.isnan(market_caps).any() if isinstance(market_caps, np.ndarray) else np.isnan(factor_values))
if mask.sum() < 3:
return factor_values
beta = np.linalg.lstsq(X[mask], factor_values[mask], rcond=None)[0]
predicted = X @ beta
return factor_values - predicted
def calc_factor_ic(factor_values, forward_returns):
"""
计算因子 IC (Information Coefficient)。
Args:
factor_values: 因子值 (n_stocks,)
forward_returns: 未来收益 (n_stocks,)