PstepNadd pattern that returns combinatoric sums

superclass: PstepNfunc

combines an arbitrary number of patterns by summing (depth first traversal).

when a stream ends it is recreated from its pattern until the top stream ends.

see also: Pstep3add

*new(pattern1, pattern2, ... patternN);

//examples

// comparing PstepNadd and Pstep3add (test)

(

x = PstepNadd(Pseq([1, 2, 3]), Pseq([10, 20, 30, 40]), Pseq([100, 200, 300])).asStream;

y = Pstep3add(Pseq([1, 2, 3]), Pseq([10, 20, 30, 40]), Pseq([100, 200, 300])).asStream;

50.do({ [x.next, y.next].postln });

)

// pattern return stream until the longest stream ended 

(

x = PstepNadd(

Plazy({ "pattern1.asStream".postln; Pseq([1, 2, 3], 2) }), 

Plazy({ "pattern2.asStream".postln; Pshuf([10, 20, 30, 40]) }), 

Plazy({ "pattern3.asStream".postln; Pseq([100, 200, 300]) }),

Plazy({  Pseries(1, 1, 4) * 0.01 })

).asStream;

150.do({ x.next.postln });

)

// if the last pattern loops it the combinatorics loop there:

x = PstepNadd(Pseq([1, 2, 3]), Pseq([10, 20, 30, 40]), Pseq([100, 200, 300], inf)).asStream;

50.do({ x.next.postln });

// if the first pattern loops, the whole iteration loops as if it was used in a Pn(.., inf):

x = PstepNadd(Pseq([1, 2, 3], inf), Pseq([10, 20, 30, 40]), Pseq([100, 200, 300])).asStream;

y = Pn(PstepNadd(Pseq([1, 2, 3]), Pseq([10, 20, 30, 40]), Pseq([100, 200, 300])), inf).asStream;

150.do({ [x.next, y.next].postln });

// sound example

(

Pbind(

\octave, 4,

\degree, PstepNadd(

Pseq([1, 2, 3]), 

Pseq([0, -2, [1, 3], -5]), 

Pshuf([1, 0, 3, 0], 2), 

Pseq([1, -1], 5)

),

\dur, PstepNadd(

Pseq([1, 0, 0, 1], 2),

Pshuf([1, 1, 2, 1], 2)

).loop * (1/8),

\legato, Pn(Pshuf([0.2, 0.2, 0.2, 0.5, 0.5, 1.6, 1.4], 4), inf),

\scale, #[0, 1, 3, 4, 5, 7, 8]

).play;

)