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+// Define functions that implement the formulas for AudioParam automations.
+
+// AudioParam linearRamp value at time t for a linear ramp between (t0, v0) and
+// (t1, v1). It is assumed that t0 <= t. Results are undefined otherwise.
+function audioParamLinearRamp(t, v0, t0, v1, t1) {
+ if (t >= t1)
+ return v1;
+ return (v0 + (v1 - v0) * (t - t0) / (t1 - t0))
+}
+
+// AudioParam exponentialRamp value at time t for an exponential ramp between
+// (t0, v0) and (t1, v1). It is assumed that t0 <= t. Results are undefined
+// otherwise.
+function audioParamExponentialRamp(t, v0, t0, v1, t1) {
+ if (t >= t1)
+ return v1;
+ return v0 * Math.pow(v1 / v0, (t - t0) / (t1 - t0));
+}
+
+// AudioParam setTarget value at time t for a setTarget curve starting at (t0,
+// v0) with a final value of vFainal and a time constant of timeConstant. It is
+// assumed that t0 <= t. Results are undefined otherwise.
+function audioParamSetTarget(t, v0, t0, vFinal, timeConstant) {
+ return vFinal + (v0 - vFinal) * Math.exp(-(t - t0) / timeConstant);
+}
+
+// AudioParam setValueCurve value at time t for a setValueCurve starting at time
+// t0 with curve, curve, and duration duration. The sample rate is sampleRate.
+// It is assumed that t0 <= t.
+function audioParamSetValueCurve(t, curve, t0, duration) {
+ if (t > t0 + duration)
+ return curve[curve.length - 1];
+
+ let curvePointsPerSecond = (curve.length - 1) / duration;
+
+ let virtualIndex = (t - t0) * curvePointsPerSecond;
+ let index = Math.floor(virtualIndex);
+
+ let delta = virtualIndex - index;
+
+ let c0 = curve[index];
+ let c1 = curve[Math.min(index + 1, curve.length - 1)];
+ return c0 + (c1 - c0) * delta;
+}