/* signal.mjs - continuous patterns Copyright (C) 2024 Strudel contributors - see This program is free software: you can redistribute it and/or modify it under the terms of the GNU Affero General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Affero General Public License for more details. You should have received a copy of the GNU Affero General Public License along with this program. If not, see . */ import { Hap } from './hap.mjs'; import { Pattern, fastcat, pure, register, reify, silence, stack } from './pattern.mjs'; import Fraction from './fraction.mjs'; import { id, _mod } from './util.mjs'; export function steady(value) { // A continuous value return new Pattern((state) => [new Hap(undefined, state.span, value)]); } export const signal = (func) => { const query = (state) => [new Hap(undefined, state.span, func(state.span.midpoint()))]; return new Pattern(query); }; export const isaw = signal((t) => 1 - (t % 1)); export const isaw2 = isaw.toBipolar(); /** * A sawtooth signal between 0 and 1. * * @return {Pattern} * @example * note("*8") * .clip(saw.slow(2)) * @example * n(saw.range(0,8).segment(8)) * .scale('C major') * */ export const saw = signal((t) => t % 1); export const saw2 = saw.toBipolar(); export const sine2 = signal((t) => Math.sin(Math.PI * 2 * t)); /** * A sine signal between 0 and 1. * * @return {Pattern} * @example * n(sine.segment(16).range(0,15)) * .scale("C:minor") * */ export const sine = sine2.fromBipolar(); /** * A cosine signal between 0 and 1. * * @return {Pattern} * @example * n(stack(sine,cosine).segment(16).range(0,15)) * .scale("C:minor") * */ export const cosine = sine._early(Fraction(1).div(4)); export const cosine2 = sine2._early(Fraction(1).div(4)); /** * A square signal between 0 and 1. * * @return {Pattern} * @example * n(square.segment(4).range(0,7)).scale("C:minor") * */ export const square = signal((t) => Math.floor((t * 2) % 2)); export const square2 = square.toBipolar(); /** * A triangle signal between 0 and 1. * * @return {Pattern} * @example * n(tri.segment(8).range(0,7)).scale("C:minor") * */ export const tri = fastcat(isaw, saw); export const tri2 = fastcat(isaw2, saw2); export const time = signal(id); /** * The mouse's x position value ranges from 0 to 1. * @name mousex * @return {Pattern} * @example * n(mousex.segment(4).range(0,7)).scale("C:minor") * */ /** * The mouse's y position value ranges from 0 to 1. * @name mousey * @return {Pattern} * @example * n(mousey.segment(4).range(0,7)).scale("C:minor") * */ let _mouseY = 0, _mouseX = 0; if (typeof window !== 'undefined') { //document.onmousemove = (e) => { document.addEventListener('mousemove', (e) => { _mouseY = e.clientY / document.body.clientHeight; _mouseX = e.clientX / document.body.clientWidth; }); } export const mousey = signal(() => _mouseY); export const mouseY = signal(() => _mouseY); export const mousex = signal(() => _mouseX); export const mouseX = signal(() => _mouseX); // random signals const xorwise = (x) => { const a = (x << 13) ^ x; const b = (a >> 17) ^ a; return (b << 5) ^ b; }; // stretch 300 cycles over the range of [0,2**29 == 536870912) then apply the xorshift algorithm const _frac = (x) => x - Math.trunc(x); const timeToIntSeed = (x) => xorwise(Math.trunc(_frac(x / 300) * 536870912)); const intSeedToRand = (x) => (x % 536870912) / 536870912; const timeToRand = (x) => Math.abs(intSeedToRand(timeToIntSeed(x))); const timeToRandsPrime = (seed, n) => { const result = []; // eslint-disable-next-line for (let i = 0; i < n; ++i) { result.push(intSeedToRand(seed)); seed = xorwise(seed); } return result; }; const timeToRands = (t, n) => timeToRandsPrime(timeToIntSeed(t), n); /** * */ /** * A discrete pattern of numbers from 0 to n-1 * @example * n(run(4)).scale("C4:pentatonic") * // n("0 1 2 3").scale("C4:pentatonic") */ export const run = (n) => saw.range(0, n).floor().segment(n); /** * @name binaryN * Creates a discrete pattern using binary representation. * @param {number} n - input number to convert to binary * @param {number} nBits - pattern length, defaults to 16 * @example * "hh".s().struct(binaryN(55532, 16)) * // "hh".s().struct("1 1 0 1 1 0 0 0 1 1 1 0 1 1 0 0") */ export const binaryN = (n, nBits = 16) => { nBits = reify(nBits); // Shift and mask, putting msb on the right-side const i = run(nBits).mul(-1).add(nBits.sub(1)); return reify(n).segment(nBits).brshift(i).band(pure(1)); }; export const randrun = (n) => { return signal((t) => { // Without adding 0.5, the first cycle is always 0,1,2,3,... const rands = timeToRands(t.floor().add(0.5), n); const nums = rands .map((n, i) => [n, i]) .sort((a, b) => a[0] > b[0] - a[0] < b[0]) .map((x) => x[1]); const i = t.cyclePos().mul(n).floor() % n; return nums[i]; })._segment(n); }; const _rearrangeWith = (ipat, n, pat) => { const pats = [...Array(n).keys()].map((i) => pat.zoom(Fraction(i).div(n), Fraction(i + 1).div(n))); return ipat.fmap((i) => pats[i].repeatCycles(n)._fast(n)).innerJoin(); }; /** * @name shuffle * Slices a pattern into the given number of parts, then plays those parts in random order. * Each part will be played exactly once per cycle. * @example * note("c d e f").sound("piano").shuffle(4) * @example * note("c d e f".shuffle(4), "g").sound("piano") */ export const shuffle = register('shuffle', (n, pat) => { return _rearrangeWith(randrun(n), n, pat); }); /** * @name scramble * Slices a pattern into the given number of parts, then plays those parts at random. Similar to `shuffle`, * but parts might be played more than once, or not at all, per cycle. * @example * note("c d e f").sound("piano").scramble(4) * @example * note("c d e f".scramble(4), "g").sound("piano") */ export const scramble = register('scramble', (n, pat) => { return _rearrangeWith(_irand(n)._segment(n), n, pat); }); /** * A continuous pattern of random numbers, between 0 and 1. * * @name rand * @example * // randomly change the cutoff * s("bd*4,hh*8").cutoff(rand.range(500,8000)) * */ export const rand = signal(timeToRand); /** * A continuous pattern of random numbers, between -1 and 1 */ export const rand2 = rand.toBipolar(); export const _brandBy = (p) => rand.fmap((x) => x < p); /** * A continuous pattern of 0 or 1 (binary random), with a probability for the value being 1 * * @name brandBy * @param {number} probability - a number between 0 and 1 * @example * s("hh*10").pan(brandBy(0.2)) */ export const brandBy = (pPat) => reify(pPat).fmap(_brandBy).innerJoin(); /** * A continuous pattern of 0 or 1 (binary random) * * @name brand * @example * s("hh*10").pan(brand) */ export const brand = _brandBy(0.5); export const _irand = (i) => rand.fmap((x) => Math.trunc(x * i)); /** * A continuous pattern of random integers, between 0 and n-1. * * @name irand * @param {number} n max value (exclusive) * @example * // randomly select scale notes from 0 - 7 (= C to C) * n(irand(8)).struct("x x*2 x x*3").scale("C:minor") * */ export const irand = (ipat) => reify(ipat).fmap(_irand).innerJoin(); export const __chooseWith = (pat, xs) => { xs = xs.map(reify); if (xs.length == 0) { return silence; } return pat.range(0, xs.length).fmap((i) => { const key = Math.min(Math.max(Math.floor(i), 0), xs.length - 1); return xs[key]; }); }; /** * Choose from the list of values (or patterns of values) using the given * pattern of numbers, which should be in the range of 0..1 * @param {Pattern} pat * @param {*} xs * @returns {Pattern} * @example * note("c2 g2!2 d2 f1").s(chooseWith(sine.fast(2), ["sawtooth", "triangle", "bd:6"])) */ export const chooseWith = (pat, xs) => { return __chooseWith(pat, xs).outerJoin(); }; /** * As with {chooseWith}, but the structure comes from the chosen values, rather * than the pattern you're using to choose with. * @param {Pattern} pat * @param {*} xs * @returns {Pattern} */ export const chooseInWith = (pat, xs) => { return __chooseWith(pat, xs).innerJoin(); }; /** * Chooses randomly from the given list of elements. * @param {...any} xs values / patterns to choose from. * @returns {Pattern} - a continuous pattern. * @example * note("c2 g2!2 d2 f1").s(choose("sine", "triangle", "bd:6")) */ export const choose = (...xs) => chooseWith(rand, xs); /** * Chooses from the given list of values (or patterns of values), according * to the pattern that the method is called on. The pattern should be in * the range 0 .. 1. * @param {...any} xs * @returns {Pattern} */ Pattern.prototype.choose = function (...xs) { return chooseWith(this, xs); }; /** * As with choose, but the pattern that this method is called on should be * in the range -1 .. 1 * @param {...any} xs * @returns {Pattern} */ Pattern.prototype.choose2 = function (...xs) { return chooseWith(this.fromBipolar(), xs); }; /** * Picks one of the elements at random each cycle. * @synonyms randcat * @returns {Pattern} * @example * chooseCycles("bd", "hh", "sd").s().fast(8) * @example * s("bd | hh | sd").fast(8) */ export const chooseCycles = (...xs) => chooseInWith(rand.segment(1), xs); export const randcat = chooseCycles; const _wchooseWith = function (pat, ...pairs) { const values = pairs.map((pair) => reify(pair[0])); const weights = []; let accum = 0; for (const pair of pairs) { accum += pair[1]; weights.push(accum); } const total = accum; const match = function (r) { const find = r * total; return values[weights.findIndex((x) => x > find, weights)]; }; return pat.fmap(match); }; const wchooseWith = (...args) => _wchooseWith(...args).outerJoin(); /** * Chooses randomly from the given list of elements by giving a probability to each element * @param {...any} pairs arrays of value and weight * @returns {Pattern} - a continuous pattern. * @example * note("c2 g2!2 d2 f1").s(wchoose(["sine",10], ["triangle",1], ["bd:6",1])) */ export const wchoose = (...pairs) => wchooseWith(rand, ...pairs); /** * Picks one of the elements at random each cycle by giving a probability to each element * @synonyms wrandcat * @returns {Pattern} * @example * wchooseCycles(["bd",10], ["hh",1], ["sd",1]).s().fast(8) * @example * wchooseCycles(["bd bd bd",5], ["hh hh hh",3], ["sd sd sd",1]).fast(4).s() */ export const wchooseCycles = (...pairs) => _wchooseWith(rand.segment(1), ...pairs).innerJoin(); export const wrandcat = wchooseCycles; // this function expects pat to be a pattern of floats... export const perlinWith = (pat) => { const pata = pat.fmap(Math.floor); const patb = pat.fmap((t) => Math.floor(t) + 1); const smootherStep = (x) => 6.0 * x ** 5 - 15.0 * x ** 4 + 10.0 * x ** 3; const interp = (x) => (a) => (b) => a + smootherStep(x) * (b - a); return pat.sub(pata).fmap(interp).appBoth(pata.fmap(timeToRand)).appBoth(patb.fmap(timeToRand)); }; /** * Generates a continuous pattern of [perlin noise](https://en.wikipedia.org/wiki/Perlin_noise), in the range 0..1. * * @name perlin * @example * // randomly change the cutoff * s("bd*4,hh*8").cutoff(perlin.range(500,8000)) * */ export const perlin = perlinWith(time.fmap((v) => Number(v))); export const degradeByWith = register( 'degradeByWith', (withPat, x, pat) => pat.fmap((a) => (_) => a).appLeft(withPat.filterValues((v) => v > x)), true, true, ); /** * Randomly removes events from the pattern by a given amount. * 0 = 0% chance of removal * 1 = 100% chance of removal * * @name degradeBy * @memberof Pattern * @param {number} amount - a number between 0 and 1 * @returns Pattern * @example * s("hh*8").degradeBy(0.2) * @example * s("[hh?0.2]*8") */ export const degradeBy = register( 'degradeBy', function (x, pat) { return pat._degradeByWith(rand, x); }, true, true, ); /** * * Randomly removes 50% of events from the pattern. Shorthand for `.degradeBy(0.5)` * * @name degrade * @memberof Pattern * @returns Pattern * @example * s("hh*8").degrade() * @example * s("[hh?]*8") */ export const degrade = register('degrade', (pat) => pat._degradeBy(0.5), true, true); /** * Inverse of `degradeBy`: Randomly removes events from the pattern by a given amount. * 0 = 100% chance of removal * 1 = 0% chance of removal * Events that would be removed by degradeBy are let through by undegradeBy and vice versa (see second example). * * @name undegradeBy * @memberof Pattern * @param {number} amount - a number between 0 and 1 * @returns Pattern * @example * s("hh*8").undegradeBy(0.2) * @example * s("hh*10").layer( * x => x.degradeBy(0.2).pan(0), * x => x.undegradeBy(0.8).pan(1) * ) */ export const undegradeBy = register( 'undegradeBy', function (x, pat) { return pat._degradeByWith( rand.fmap((r) => 1 - r), x, ); }, true, true, ); /** * Inverse of `degrade`: Randomly removes 50% of events from the pattern. Shorthand for `.undegradeBy(0.5)` * Events that would be removed by degrade are let through by undegrade and vice versa (see second example). * * @name undegrade * @memberof Pattern * @returns Pattern * @example * s("hh*8").undegrade() * @example * s("hh*10").layer( * x => x.degrade().pan(0), * x => x.undegrade().pan(1) * ) */ export const undegrade = register('undegrade', (pat) => pat._undegradeBy(0.5), true, true); /** * * Randomly applies the given function by the given probability. * Similar to `someCyclesBy` * * @name sometimesBy * @memberof Pattern * @param {number | Pattern} probability - a number between 0 and 1 * @param {function} function - the transformation to apply * @returns Pattern * @example * s("hh*8").sometimesBy(.4, x=>x.speed("0.5")) */ export const sometimesBy = register('sometimesBy', function (patx, func, pat) { return reify(patx) .fmap((x) => stack(pat._degradeBy(x), func(pat._undegradeBy(1 - x)))) .innerJoin(); }); /** * * Applies the given function with a 50% chance * * @name sometimes * @memberof Pattern * @param {function} function - the transformation to apply * @returns Pattern * @example * s("hh*8").sometimes(x=>x.speed("0.5")) */ export const sometimes = register('sometimes', function (func, pat) { return pat._sometimesBy(0.5, func); }); /** * * Randomly applies the given function by the given probability on a cycle by cycle basis. * Similar to `sometimesBy` * * @name someCyclesBy * @memberof Pattern * @param {number | Pattern} probability - a number between 0 and 1 * @param {function} function - the transformation to apply * @returns Pattern * @example * s("bd,hh*8").someCyclesBy(.3, x=>x.speed("0.5")) */ export const someCyclesBy = register('someCyclesBy', function (patx, func, pat) { return reify(patx) .fmap((x) => stack( pat._degradeByWith(rand._segment(1), x), func(pat._degradeByWith(rand.fmap((r) => 1 - r)._segment(1), 1 - x)), ), ) .innerJoin(); }); /** * * Shorthand for `.someCyclesBy(0.5, fn)` * * @name someCycles * @memberof Pattern * @returns Pattern * @example * s("bd,hh*8").someCycles(x=>x.speed("0.5")) */ export const someCycles = register('someCycles', function (func, pat) { return pat._someCyclesBy(0.5, func); }); /** * * Shorthand for `.sometimesBy(0.75, fn)` * * @name often * @memberof Pattern * @returns Pattern * @example * s("hh*8").often(x=>x.speed("0.5")) */ export const often = register('often', function (func, pat) { return pat.sometimesBy(0.75, func); }); /** * * Shorthand for `.sometimesBy(0.25, fn)` * * @name rarely * @memberof Pattern * @returns Pattern * @example * s("hh*8").rarely(x=>x.speed("0.5")) */ export const rarely = register('rarely', function (func, pat) { return pat.sometimesBy(0.25, func); }); /** * * Shorthand for `.sometimesBy(0.1, fn)` * * @name almostNever * @memberof Pattern * @returns Pattern * @example * s("hh*8").almostNever(x=>x.speed("0.5")) */ export const almostNever = register('almostNever', function (func, pat) { return pat.sometimesBy(0.1, func); }); /** * * Shorthand for `.sometimesBy(0.9, fn)` * * @name almostAlways * @memberof Pattern * @returns Pattern * @example * s("hh*8").almostAlways(x=>x.speed("0.5")) */ export const almostAlways = register('almostAlways', function (func, pat) { return pat.sometimesBy(0.9, func); }); /** * * Shorthand for `.sometimesBy(0, fn)` (never calls fn) * * @name never * @memberof Pattern * @returns Pattern * @example * s("hh*8").never(x=>x.speed("0.5")) */ export const never = register('never', function (_, pat) { return pat; }); /** * * Shorthand for `.sometimesBy(1, fn)` (always calls fn) * * @name always * @memberof Pattern * @returns Pattern * @example * s("hh*8").always(x=>x.speed("0.5")) */ export const always = register('always', function (func, pat) { return func(pat); });