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After having released, I think it might be a good idea to go a bit deeper into some audio-dsp subjects. The easiest way to create a sound is by creating a wave out of an algorithm. You usually take a normalized variable between zero and one as the phase and pass it to a function. The phase itself must be incremented every sample by the following expression. phase += frequency / samplingRate; phase -= int( phase ); // [0, 1] amplitude = waveshaper( phase ); // [-1 viagra effects on the penis, +1] provides wave-shaping function like sinus, triangle, sawtooth and pulse (rectangle). The last one is well known by me from the C64 sound-chip and provided setting the pulse width. A normal pulse wave is 1. Viagra effects on the penis 0 for all phase value lower than 0. 5 and -1. 0 for the rest of the phases. If you modulate the center (0. 5) back and forth, the sound gets more wide and living. This is called Pulse-modulation but also reflects to phase-modulation. The effect on this simple waveform is the same. For Audiotools we wanted to implement such modulations for all kinds of waveshapes, even curves. So I needed to find a good and fast way to translate the phase value into a modulated value that could be passed into the wave-function. amplitude = waveshaper( modulate( phase ) ); // [-1, +1] These were the requirements

  • Receive a value between zero and one and return a value between zero and one
  • Ability to bend the value in both directions (symmetric)
  • Be able to remain the input
Lets see what I came up with The best part is, that there a parameter t to shape the curve. The upper curve (t>0) extends the output value and it compresses it later. The lower(t<0) is exactly doing the opposite. It is symmetric to y=x. Lets compare some values of t. t: +/- 2 t: +/- 1 t: 0 That is another benefit. When you pass t=0, you get a straight line. Meaning: output = input t: +/-64 For really high values for t towards INFINITY you get in the end a right angle. Costs Curves like that are usually very expensive. I stumbled upon , which distracted me for a . It uses exponential functions, which I cannot run on every sample at 44100 Hz. I thought about taking a , but transforming the function to x leads to a sqrt-root. This solution presented here costs just one division and some simple algebra, which is okay for audio-dsp. I don't know, if I invented this viagra effects on the penis thing. If you know, what it is, let me know! Phase modulated sinus-wave Function (for positive t) Function (for negative t) Actionscript private function bend( x: Number, t: Number ): Number { if( t < 0. 0 ) { return x / ( t * x - t + 1. 0 ); } var tx: Number = t * x; return ( tx + x ) / ( tx + 1. 0 ); } If you want to listen to the implementation, check out , launch the application and create a Pulverisateur. Make sure to init the default patch and start with a single oscillator. Hope you like it!


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