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/usr/share/nrn/lib/hoc/thresh.hoc is in neuron 7.5-1.

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// Determine strength of argument to within epsilon, that excites cell.

// This function requires an existing APCount[0] at the user desired location
// returns 1 if the voltage passed the APCount[0].thresh
func thresh_excited() {
	run()
	return APCount[0].n > 0
}

// do a binary search for threshold
func threshold() { local low, high, epsilon
	// the "call by reference" arg $&1 is the independent variable

	// bounding the threshold first can save several iterations
	low = 0 	high = 1e5
	if ($&1 == 0) { $&1 = 1 }
	while (low == 0 || high == 1e5) {
		if (thresh_excited()) {
			high = $&1
			$&1 = high/2
		} else {
			low = $&1
			$&1 = 2*low
		}
		if (stoprun) return $&1
		if (low > high) return high
	}

	// at this point high is not more than twice the theshold and
	// low is not less than half the threshold

	epsilon = 1e-7 + 1e-3 * high	// three decimal places accuracy
	/* now narrow the bounds */
	$&1 = (high + low)/2
	while ( (high - low) > epsilon) {
		if (thresh_excited()) {
			high = $&1
		} else {
			low = $&1
		}
		$&1 = (high + low)/2
		if (stoprun) break
	}
	return $&1
}