//+------------------------------------------------------------------+ //| PairsTrading_Bands_Pro.mq5 | //| Copyright 2026, xxxxxxxx| //+------------------------------------------------------------------+ #property copyright "Copyright 2026, xxxxxxxx" #property version "1.00" // Non-repainting state-machine, O(1) optimized #property description "Wyckoff-style Cointegration Bands on Main Chart." #property description "Projects dynamic equilibrium line (Z=0) and trade bands (Z=+-2) on candles." #property indicator_chart_window #property indicator_buffers 3 #property indicator_plots 3 //--- Plot 1: Cointegrated Equilibrium Line (Fair Value / Z=0) #property indicator_label1 "Equilibrium Center" #property indicator_type1 DRAW_LINE #property indicator_color1 clrGold #property indicator_style1 STYLE_SOLID #property indicator_width1 2 //--- Plot 2: Upper Cointegration Band (Z=+2.0 / Sell Spread Zone) #property indicator_label2 "Upper Band" #property indicator_type2 DRAW_LINE #property indicator_color2 clrCrimson #property indicator_style2 STYLE_DASH #property indicator_width2 1 //--- Plot 3: Lower Cointegration Band (Z=-2.0 / Buy Spread Zone) #property indicator_label3 "Lower Band" #property indicator_type3 DRAW_LINE #property indicator_color3 clrDodgerBlue #property indicator_style3 STYLE_DASH #property indicator_width3 1 //--- Anchored Timeframe Resets Enum enum ENUM_ANCHOR_PERIOD { ANCHOR_NONE, // Standard rolling window (InpLookback) ANCHOR_SESSION, // Reset every day (Daily VWAP style) ANCHOR_WEEK, // Reset every week (Weekly VWAP style) ANCHOR_MONTH, // Reset every month (Monthly VWAP style) ANCHOR_CUSTOM_SESSION // Reset based on custom broker-time start/end range }; //--- Input Parameters input string InpSymbolA = "UKOIL"; // Symbol A (Main Chart Equivalent, e.g. UKOIL or BRENT) input string InpSymbolB = "USOIL"; // Symbol B (Benchmark, e.g. USOIL or WTI) input ENUM_ANCHOR_PERIOD InpAnchor = ANCHOR_NONE; // Dynamic Anchored Reset Period input int InpLookback = 120; // Rolling Window size (Used if Anchor = NONE) input string InpCustomStart = "09:00"; // Custom Session Start (HH:MM, Broker Time) input string InpCustomEnd = "18:00"; // Custom Session End (HH:MM, Broker Time) //--- Buffers double BufMiddle[]; double BufUpper[]; double BufLower[]; //--- Aligned price arrays double g_sync_close_A[]; double g_sync_close_B[]; //--- Global Variables and State Tracking (O(1) safe) bool g_data_synced = false; int g_anchor_start_idx = 0; // Dynamic anchor index tracker //--- Parsed Custom Session hours int g_start_hour = 9; int g_start_min = 0; int g_end_hour = 18; int g_end_min = 0; //+------------------------------------------------------------------+ //| EnsureDataReady (Multi-symbol history sync helper) | //+------------------------------------------------------------------+ bool EnsureDataReady(const string symbol, const ENUM_TIMEFRAMES timeframe, const int required_bars) { ResetLastError(); if(!SymbolInfoInteger(symbol, SYMBOL_SELECT)) { SymbolSelect(symbol, true); } datetime times[]; int copied = CopyTime(symbol, timeframe, 0, required_bars, times); return (copied >= required_bars); } //+------------------------------------------------------------------+ //| IsTimeInSession | //| Determines if broker time is within custom active session | //+------------------------------------------------------------------+ bool IsTimeInSession(datetime time_val, int start_hour, int start_min, int end_hour, int end_min) { MqlDateTime dt; TimeToStruct(time_val, dt); int current_min = dt.hour * 60 + dt.min; int start_total = start_hour * 60 + start_min; int end_total = end_hour * 60 + end_min; if(end_total < start_total) // Overlapping midnight session { return (current_min >= start_total || current_min < end_total); } else { return (current_min >= start_total && current_min < end_total); } } //+------------------------------------------------------------------+ //| OnInit | //+------------------------------------------------------------------+ int OnInit() { g_data_synced = false; g_anchor_start_idx = 0; SetIndexBuffer(0, BufMiddle, INDICATOR_DATA); SetIndexBuffer(1, BufUpper, INDICATOR_DATA); SetIndexBuffer(2, BufLower, INDICATOR_DATA); ArraySetAsSeries(BufMiddle, false); ArraySetAsSeries(BufUpper, false); ArraySetAsSeries(BufLower, false); //--- Parse custom session times string parts[]; if(StringSplit(InpCustomStart, ':', parts) == 2) { g_start_hour = (int)StringToInteger(parts[0]); g_start_min = (int)StringToInteger(parts[1]); } if(StringSplit(InpCustomEnd, ':', parts) == 2) { g_end_hour = (int)StringToInteger(parts[0]); g_end_min = (int)StringToInteger(parts[1]); } // Configure shortname dynamically based on mode string anchor_name = EnumToString(InpAnchor); string short_name = StringFormat("PairsBands Pro(%s vs %s, %s)", InpSymbolA, InpSymbolB, (InpAnchor == ANCHOR_NONE ? (string)InpLookback : StringSubstr(anchor_name, 7))); IndicatorSetString(INDICATOR_SHORTNAME, short_name); IndicatorSetInteger(INDICATOR_DIGITS, _Digits); return(INIT_SUCCEEDED); } //+------------------------------------------------------------------+ //| OnCalculate | //+------------------------------------------------------------------+ int OnCalculate(const int rates_total, const int prev_calculated, const datetime &time[], const double &open[], const double &high[], const double &low[], const double &close[], const long &tick_volume[], const long &volume[], const int &spread[]) { int required_bars = InpLookback + 10; if(InpAnchor != ANCHOR_NONE) required_bars = 1000; // Need larger history depth for monthly/weekly/custom anchors //--- Ensure both symbol histories are fully loaded in the terminal if(!EnsureDataReady(InpSymbolA, _Period, required_bars) || !EnsureDataReady(InpSymbolB, _Period, required_bars)) { g_data_synced = false; return 0; // Wait for next tick to let history load } g_data_synced = true; //--- Get standalone default fallback values to ensure absolute chart independence double default_close_A = iClose(InpSymbolA, _Period, 0); double default_close_B = iClose(InpSymbolB, _Period, 0); //--- 1. Advanced Bar-Time Synchronization & Alignment Loop (O(1) incremental) ArrayResize(g_sync_close_A, rates_total); ArrayResize(g_sync_close_B, rates_total); int loop_start = (prev_calculated == 0) ? 0 : prev_calculated - 1; if(loop_start < 0) loop_start = 0; for(int i = loop_start; i < rates_total; i++) { // Sync Symbol A Price int shift_A = iBarShift(InpSymbolA, _Period, time[i], false); if(shift_A >= 0) g_sync_close_A[i] = iClose(InpSymbolA, _Period, shift_A); else g_sync_close_A[i] = (i > 0) ? g_sync_close_A[i-1] : default_close_A; // Sync Symbol B Price int shift_B = iBarShift(InpSymbolB, _Period, time[i], false); if(shift_B >= 0) g_sync_close_B[i] = iClose(InpSymbolB, _Period, shift_B); else g_sync_close_B[i] = (i > 0) ? g_sync_close_B[i-1] : default_close_B; } //--- 2. Calculate the rolling OLS Cointegration Bands int calc_start = (prev_calculated == 0) ? InpLookback : prev_calculated - 1; if(calc_start < InpLookback) calc_start = InpLookback; for(int i = calc_start; i < rates_total; i++) { //--- A. Filter out inactive hours if custom session anchor is selected if(InpAnchor == ANCHOR_CUSTOM_SESSION) { if(!IsTimeInSession(time[i], g_start_hour, g_start_min, g_end_hour, g_end_min)) { BufMiddle[i] = EMPTY_VALUE; BufUpper[i] = EMPTY_VALUE; BufLower[i] = EMPTY_VALUE; continue; } } //--- B. Check if a new Anchor period has started (Stateful tracking) bool new_period = false; switch(InpAnchor) { case ANCHOR_SESSION: { MqlDateTime dt_curr, dt_prev; TimeToStruct(time[i], dt_curr); TimeToStruct(time[i-1], dt_prev); if(dt_curr.day_of_year != dt_prev.day_of_year || dt_curr.year != dt_prev.year) new_period = true; break; } case ANCHOR_WEEK: { MqlDateTime dt_curr, dt_prev; TimeToStruct(time[i], dt_curr); TimeToStruct(time[i-1], dt_prev); if(dt_curr.day_of_week < dt_prev.day_of_week) new_period = true; break; } case ANCHOR_MONTH: { MqlDateTime dt_curr, dt_prev; TimeToStruct(time[i], dt_curr); TimeToStruct(time[i-1], dt_prev); if(dt_curr.mon != dt_prev.mon || dt_curr.year != dt_prev.year) new_period = true; break; } case ANCHOR_CUSTOM_SESSION: { MqlDateTime dt_curr, dt_prev; TimeToStruct(time[i], dt_curr); TimeToStruct(time[i-1], dt_prev); int min_curr = dt_curr.hour * 60 + dt_curr.min; int min_prev = dt_prev.hour * 60 + dt_prev.min; int start_min = g_start_hour * 60 + g_start_min; bool day_changed = (dt_curr.day_of_year != dt_prev.day_of_year || dt_curr.year != dt_prev.year); if(day_changed) { if(min_curr >= start_min) new_period = true; } else { if(min_prev < start_min && min_curr >= start_min) new_period = true; } break; } default: break; } if(new_period) { g_anchor_start_idx = i; } //--- C. Compute the dynamic window size int active_window_size = 0; if(InpAnchor == ANCHOR_NONE) { active_window_size = InpLookback; } else { active_window_size = i - g_anchor_start_idx + 1; } if(active_window_size < 15) { BufMiddle[i] = close[i]; BufUpper[i] = close[i]; BufLower[i] = close[i]; continue; // Wait for statistical significance } //--- D. Perform Rolling OLS (High-performance math) double sum_A = 0.0, sum_B = 0.0; for(int k = 0; k < active_window_size; k++) { int idx = i - active_window_size + 1 + k; sum_A += g_sync_close_A[idx]; sum_B += g_sync_close_B[idx]; } double mean_A = sum_A / active_window_size; double mean_B = sum_B / active_window_size; double sum_sq_diff_B = 0.0; double sum_prod_AB = 0.0; for(int k = 0; k < active_window_size; k++) { int idx = i - active_window_size + 1 + k; double diff_A = g_sync_close_A[idx] - mean_A; double diff_B = g_sync_close_B[idx] - mean_B; sum_sq_diff_B += diff_B * diff_B; sum_prod_AB += diff_A * diff_B; } double var_B = sum_sq_diff_B / (active_window_size - 1); double cov_AB = sum_prod_AB / (active_window_size - 1); if(var_B > 1.0e-9) { double beta = cov_AB / var_B; double alpha = mean_A - (beta * mean_B); // Calculate the rolling standard deviation of the spread (Mean is algebraically 0.0) double sum_sq_spread = 0.0; for(int k = 0; k < active_window_size; k++) { int idx = i - active_window_size + 1 + k; double spr = g_sync_close_A[idx] - (beta * g_sync_close_B[idx]) - alpha; sum_sq_spread += spr * spr; } double std_dev_spread = MathSqrt(sum_sq_spread / (active_window_size - 1)); //--- E. Project Cointegration Bands directly onto the main price chart // Center Line (Z=0.0 Equilibrium): A_hat = beta * B_t + alpha double fair_price = beta * g_sync_close_B[i] + alpha; BufMiddle[i] = fair_price; BufUpper[i] = fair_price + 2.0 * std_dev_spread; // Z = +2.0 BufLower[i] = fair_price - 2.0 * std_dev_spread; // Z = -2.0 } else { BufMiddle[i] = close[i]; BufUpper[i] = close[i]; BufLower[i] = close[i]; } } return(rates_total); } //+------------------------------------------------------------------+ //+------------------------------------------------------------------+