Problems with E46 not starting

My boss at works got an E46 318i. His wife was driving it today when the engine management light came on. She pulled over, called my boss, then proceeded to drive a further 3 miles to work. When she turned the engine off, it wouldn't start again. He's plugged in the diagnostics and its coming up various fault codes all pointing to no compression an ANY cylinders. He's checked the usual timing chain and had the cover off and turned the engine over. Everything's turning as it should, camshafts turning, valves opening and closing as they should but the car won't fire. He thinks its something electrical that's telling the ecu there's no compression thus not firing the engine. Anyone any ideas as to what could cause it??

thanks for the reply, were heading down the route the timing gears maybe jumped a couple of teeth on the sprocket, either the intake or the exhaust cam. Would maybe explain why it continued to run, because at higher engine speeds it would have some compression, but trying to fire it would struggle to gain enough compression. We need to check the timing first to see if thats ok

What codes is the car actually bring up?