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export enum MathOp {
Add,
Sub,
Mul,
Div,
Pow,
Log,
Sqrt,
Exp,
Min,
Max,
Lt,
Gt,
Sign,
Round,
Floor,
Ceil,
Trunc,
Frac,
Mod,
Snap,
Clamp,
Sin,
Cos,
Tan,
Asin,
Acos,
Atan,
Atan2,
Sinh,
Cosh,
Tanh,
ToRad,
ToDeg,
}
function unaryMathS(op: MathOp, x: f32): f32 {
switch (op) {
case MathOp.Sqrt: return Mathf.sqrt(x);
case MathOp.Exp: return Mathf.exp(x);
case MathOp.Sign: return Mathf.sign(x);
default: return 0;
}
}
function unaryMathV(op: MathOp, x: v128): v128 {
const zero = f32x4(0,0,0,0);
switch (op) {
case MathOp.Sqrt: return v128.sqrt<f32>(x);
case MathOp.Exp: return f32x4(
Mathf.exp(v128.extract_lane<f32>(x, 0)),
Mathf.exp(v128.extract_lane<f32>(x, 1)),
Mathf.exp(v128.extract_lane<f32>(x, 2)),
Mathf.exp(v128.extract_lane<f32>(x, 3)),
);
case MathOp.Sign: return v128.sub<f32>(v128.gt<f32>(x, zero), v128.lt<f32>(x, zero));
default: return zero;
}
}
function binaryMathS(op: MathOp, a: f32, b: f32): f32 {
switch (op) {
case MathOp.Add: return a + b;
case MathOp.Sub: return a - b;
case MathOp.Mul: return a * b;
case MathOp.Div: return a / b;
default: return 0;
}
};
function binaryMathV(op: MathOp, a: v128, b: v128): v128 {
switch (op) {
case MathOp.Add: return v128.add<f32>(a, b);
case MathOp.Sub: return v128.sub<f32>(a, b);
case MathOp.Mul: return v128.mul<f32>(a, b);
case MathOp.Div: return v128.div<f32>(a, b);
default: return f32x4(0,0,0,0);
}
};
export { unaryMathS as mathS };
export function mathV(op: MathOp, x: StaticArray<f32>): StaticArray<f32> {
const len = x.length;
const out = new StaticArray<f32>(len);
const outptr = changetype<i32>(out);
const xptr = changetype<i32>(x);
for (let i = 0; i < len - len % 4; i += 4) {
v128.store(outptr + i*4, unaryMathV(op, v128.load(xptr + i*4)));
}
// fallthrough
switch (len % 4) {
case 3: out[len-3] = unaryMathS(op, x[len-3]);
case 2: out[len-2] = unaryMathS(op, x[len-2]);
case 1: out[len-1] = unaryMathS(op, x[len-1]);
}
return out;
}
export { binaryMathS as mathSS };
export function mathVS(op: MathOp, a: StaticArray<f32>, b: f32): StaticArray<f32> {
const len = a.length;
const out = new StaticArray<f32>(len);
const outptr = changetype<i32>(out);
const aptr = changetype<i32>(a);
const vb = f32x4(b,b,b,b);
for (let i = 0; i < len - len % 4; i += 4) {
v128.store(outptr + i*4, binaryMathV(op, v128.load(aptr + i*4), vb));
}
// fallthrough
switch (len % 4) {
case 3: out[len-3] = binaryMathS(op, a[len-3], b);
case 2: out[len-2] = binaryMathS(op, a[len-2], b);
case 1: out[len-1] = binaryMathS(op, a[len-1], b);
}
return out;
}
export function mathSV(op: MathOp, a: f32, b: StaticArray<f32>): StaticArray<f32> {
const len = b.length;
const out = new StaticArray<f32>(len);
const outptr = changetype<i32>(out);
const bptr = changetype<i32>(b);
const va = f32x4(a,a,a,a);
for (let i = 0; i < len - len % 4; i += 4) {
v128.store(outptr + i*4, binaryMathV(op, va, v128.load(bptr + i*4)));
}
// fallthrough
switch (len % 4) {
case 3: out[len-3] = binaryMathS(op, a, b[len-3]);
case 2: out[len-2] = binaryMathS(op, a, b[len-2]);
case 1: out[len-1] = binaryMathS(op, a, b[len-1]);
}
return out;
}
export function mathVV(op: MathOp, a: StaticArray<f32>, b: StaticArray<f32>): StaticArray<f32> {
const len = a.length < b.length ? a.length : b.length;
const out = new StaticArray<f32>(len);
const outptr = changetype<i32>(out);
const aptr = changetype<i32>(a);
const bptr = changetype<i32>(b);
for (let i = 0; i < len - len % 4; i += 4) {
v128.store(outptr + i*4, binaryMathV(op, v128.load(aptr + i*4), v128.load(bptr + i*4)));
}
// fallthrough
switch (len % 4) {
case 3: out[len-3] = binaryMathS(op, a[len-3], b[len-3]);
case 2: out[len-2] = binaryMathS(op, a[len-2], b[len-2]);
case 1: out[len-1] = binaryMathS(op, a[len-1], b[len-1]);
}
return out;
}
export function linspace(start: f32, stop: f32, n: i32): StaticArray<f32> {
const out = new StaticArray<f32>(n);
const ptr = changetype<i32>(out);
const fac = (stop - start) / f32(n-1);
let value = f32x4(start, start + fac, start + fac*2, start + fac*3);
const vinc = f32x4(fac*4, fac*4, fac*4, fac*4);
for (let i = 0; i < n - n % 4; i += 4) {
v128.store(ptr + i * 4, value);
value = v128.add<f32>(value, vinc);
}
// fallthrough
switch (n % 4) {
case 3: out[n-3] = start + (stop - start) * f32(n-3) / f32(n-1);
case 2: out[n-2] = start + (stop - start) * f32(n-2) / f32(n-1);
case 1: out[n-1] = stop;
}
return out;
}
export function intersperse(a: StaticArray<f32>, b: StaticArray<f32>): StaticArray<f32> {
const aptr = changetype<i32>(a);
const bptr = changetype<i32>(b);
let len = a.length < b.length ? a.length : b.length;
const out = new StaticArray<f32>(len * 2);
const outptr = changetype<i32>(out);
for (let i = 0; i < len - len % 4; i += 4) {
const va = v128.load(aptr + i * 4);
const vb = v128.load(bptr + i * 4);
v128.store(outptr + (i*2) * 4, v128.shuffle<f32>(va, vb, 0, 4, 1, 5));
v128.store(outptr + (i*2+4) * 4, v128.shuffle<f32>(va, vb, 2, 6, 3, 7));
}
// fallthrough
switch (len % 4) {
case 3:
out[out.length-6] = a[len-3];
out[out.length-5] = b[len-3];
case 2:
out[out.length-4] = a[len-2];
out[out.length-3] = b[len-2];
case 1:
out[out.length-2] = a[len-1];
out[out.length-1] = b[len-1];
}
return out;
}
export function dft(x: StaticArray<f32>): StaticArray<f32> {
const out = new StaticArray<f32>(x.length);
for (let k = 0; k < out.length - out.length % 2; k += 2) {
for (let n = 0; n < x.length - x.length % 2; n += 2) {
const y = -<f32>2.0 * Mathf.PI * <f32>k / <f32>x.length * <f32>n;
const u = Mathf.cos(y);
const v = Mathf.sin(y);
out[k] = x[n] * u - x[n+1] * v;
out[k+1] = x[n] * v + x[n+1] * u;
}
}
return out;
}
export function fft(x: StaticArray<f32>): StaticArray<f32> {
return dft(x);
}
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