oscillate.mel

// "oscillation_controller" is the name of the object that has oscillation controls
// testcube.translateY is the attribute that is being oscilated

float $currentFrame = `currentTime -q`;
string $frequencyAttribute = "oscillation_controller.frequency";
float $amp = oscillation_controller.amplitude;
float $center = oscillation_controller.oscillationCenter;
float $phase = oscillation_controller.phase;
float $timeOffset = oscillation_controller.timeOffset;

proc float riemann(float $frame, string $attribute, float $step) {
    if ($frame < 0) {
        $step = $step * -1;
    }

    float $t = 0;
    float $result = 0;
    
    while (`abs $t` < `abs $frame`) {
        $result += `getAttr -time $t $attribute` * $step;
        $t += $step;
    }
    return $result;
}

cube.translateY = $center + $amp * sin(riemann($currentFrame + $timeOffset, $frequencyAttribute, 1)/24 + $phase);