Price Relative Strength (PRS)

// The MIT License (MIT)
// © mihakralj
//@version=6
indicator("Price Relative Strength (PRS)", "PRS", overlay=false)

//@function Calculates Price Relative Strength comparing two assets
//@param base Base asset price series
//@param comp Compare asset price series
//@param smooth_len Smoothing period for ratio
//@returns Tuple containing raw ratio and smoothed ratio
prs(series float base, series float comp, simple int smooth_len=1)=>
    if smooth_len<=0
        runtime.error("Smoothing length must be greater than 0")
    float ratio = na
    if not na(base) and not na(comp) and comp != 0
        ratio := base/comp
    float alpha = 2.0/math.max(smooth_len,1)
    var float ema = na, var float result = na, var float e = 1.0, var bool warmup = true
    if not na(ratio)
        if na(ema)
            ema := 0
            result := ratio
        else
            ema := alpha*(ratio-ema)+ema
            if warmup
                e *= (1-alpha)
                float c = 1.0/(1.0-e)
                result := c*ema
                if e<=1e-10
                    warmup := false
            else
                result := ema
    [ratio, result]

// ---------- Main loop ----------

// Inputs
i_base = input.source(close, "Base Asset")
i_comp = input.symbol("SPY", "Compare Symbol")
i_smooth = input.int(1, "Smoothing Length", minval=1)
i_norm = input.bool(false, "Normalize to 100")
i_log = input.bool(false, "Logarithmic Scale")

// Get comparison data
float comp_close = request.security(i_comp, timeframe.period, close, barmerge.gaps_off, barmerge.lookahead_off)

// Calculate PRS
[raw_ratio, smooth_ratio] = prs(i_base, comp_close, i_smooth)

// Apply optional normalization
if i_norm
    raw_ratio := raw_ratio/raw_ratio[1] * 100
    smooth_ratio := smooth_ratio/smooth_ratio[1] * 100

// Apply optional log scale
if i_log
    raw_ratio := math.log(raw_ratio)
    smooth_ratio := math.log(smooth_ratio)

// Plot
plot(raw_ratio, "Raw Ratio", color=color.yellow, linewidth=2)
plot(smooth_ratio, "Smoothed", color=color.blue, linewidth=2, display=i_smooth>1?display.all:display.none)