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imResampleMex.hpp
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//
// Created by alvin on 12/5/16.
//
#ifndef IMRESAMPLEMEX_H
#define IMRESAMPLEMEX_H
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <typeinfo>
#include "wrappers.hpp"
#include "sse.hpp"
typedef unsigned char uchar;
// compute interpolation values for single column for resapling
template<class T>
void resampleCoef(int ha, int hb, int &n, int *&yas,
int *&ybs, T *&wts, int bd[2], int pad = 0) {
const T s = T(hb) / T(ha), sInv = 1 / s;
T wt, wt0 = T(1e-3) * s;
bool ds = ha > hb;
int nMax;
bd[0] = bd[1] = 0;
if (ds) {
n = 0;
nMax = ha + (pad > 2 ? pad : 2) * hb;
} else { n = nMax = hb; }
// initialize memory
wts = (T *) alMalloc(nMax * sizeof(T), 16);
yas = (int *) alMalloc(nMax * sizeof(int), 16);
ybs = (int *) alMalloc(nMax * sizeof(int), 16);
if (ds)
for (int yb = 0; yb < hb; yb++) {
// create coefficients for downsampling
T ya0f = yb * sInv, ya1f = ya0f + sInv, W = 0;
int ya0 = int(ceil(ya0f)), ya1 = int(ya1f), n1 = 0;
for (int ya = ya0 - 1; ya < ya1 + 1; ya++) {
wt = s;
if (ya == ya0 - 1) wt = (ya0 - ya0f) * s; else if (ya == ya1) wt = (ya1f - ya1) * s;
if (wt > wt0 && ya >= 0) {
ybs[n] = yb;
yas[n] = ya;
wts[n] = wt;
n++;
n1++;
W += wt;
}
}
if (W > 1) for (int i = 0; i < n1; i++) wts[n - n1 + i] /= W;
if (n1 > bd[0]) bd[0] = n1;
while (n1 < pad) {
ybs[n] = yb;
yas[n] = yas[n - 1];
wts[n] = 0;
n++;
n1++;
}
}
else
for (int yb = 0; yb < hb; yb++) {
// create coefficients for upsampling
T yaf = (T(.5) + yb) * sInv - T(.5);
int ya = (int) floor(yaf);
wt = 1;
if (ya >= 0 && ya < ha - 1) wt = 1 - (yaf - ya);
if (ya < 0) {
ya = 0;
bd[0]++;
}
if (ya >= ha - 1) {
ya = ha - 1;
bd[1]++;
}
ybs[yb] = yb;
yas[yb] = ya;
wts[yb] = wt;
}
}
// resample A using bilinear interpolation and and store result in B
template<class T>
void resample(T *A, T *B, int ha, int hb, int wa, int wb, int d, T r) {
int hn, wn, x, x1, y, z, xa, xb, ya;
T *A0, *A1, *A2, *A3, *B0, wt, wt1;
T *C = (T *) alMalloc((ha + 4) * sizeof(T), 16);
for (y = ha; y < ha + 4; y++) C[y] = 0;
bool sse = (typeid(T) == typeid(float)) && !(size_t(A) & 15) && !(size_t(B) & 15);
// get coefficients for resampling along w and h
int *xas, *xbs, *yas, *ybs;
T *xwts, *ywts;
int xbd[2], ybd[2];
resampleCoef<T>(wa, wb, wn, xas, xbs, xwts, xbd, 0);
resampleCoef<T>(ha, hb, hn, yas, ybs, ywts, ybd, 4);
if (wa == 2 * wb) r /= 2;
if (wa == 3 * wb) r /= 3;
if (wa == 4 * wb) r /= 4;
r /= T(1 + 1e-6);
for (y = 0; y < hn; y++) ywts[y] *= r;
// resample each channel in turn
for (z = 0; z < d; z++)
for (x = 0; x < wb; x++) {
if (x == 0) x1 = 0;
xa = xas[x1];
xb = xbs[x1];
wt = xwts[x1];
wt1 = 1 - wt;
y = 0;
A0 = A + z * ha * wa + xa * ha;
A1 = A0 + ha, A2 = A1 + ha, A3 = A2 + ha;
B0 = B + z * hb * wb + xb * hb;
// variables for SSE (simple casts to float)
float *Af0, *Af1, *Af2, *Af3, *Bf0, *Cf, *ywtsf, wtf, wt1f;
Af0 = (float *) A0;
Af1 = (float *) A1;
Af2 = (float *) A2;
Af3 = (float *) A3;
Bf0 = (float *) B0;
Cf = (float *) C;
ywtsf = (float *) ywts;
wtf = (float) wt;
wt1f = (float) wt1;
// resample along x direction (A -> C)
#define FORs(X) if(sse) for(; y<ha-4; y+=4) STR(Cf[y],X);
#define FORr(X) for(; y<ha; y++) C[y] = X;
if (wa == 2 * wb) {
FORs(ADD(LDu(Af0[y]), LDu(Af1[y])));
FORr(A0[y] + A1[y]);
x1 += 2;
} else if (wa == 3 * wb) {
FORs(ADD(LDu(Af0[y]), LDu(Af1[y]), LDu(Af2[y])));
FORr(A0[y] + A1[y] + A2[y]);
x1 += 3;
} else if (wa == 4 * wb) {
FORs(ADD(LDu(Af0[y]), LDu(Af1[y]), LDu(Af2[y]), LDu(Af3[y])));
FORr(A0[y] + A1[y] + A2[y] + A3[y]);
x1 += 4;
} else if (wa > wb) {
int m = 1;
while (x1 + m < wn && xb == xbs[x1 + m]) m++;
float wtsf[4];
for (int x0 = 0; x0 < (m < 4 ? m : 4); x0++) wtsf[x0] = float(xwts[x1 + x0]);
#define U(x) MUL( LDu(*(Af ## x + y)), SET(wtsf[x]) )
#define V(x) *(A ## x + y) * xwts[x1+x]
if (m == 1) {
FORs(U(0));
FORr(V(0));
}
if (m == 2) {
FORs(ADD(U(0), U(1)));
FORr(V(0) + V(1));
}
if (m == 3) {
FORs(ADD(U(0), U(1), U(2)));
FORr(V(0) + V(1) + V(2));
}
if (m >= 4) {
FORs(ADD(U(0), U(1), U(2), U(3)));
FORr(V(0) + V(1) + V(2) + V(3));
}
#undef U
#undef V
for (int x0 = 4; x0 < m; x0++) {
A1 = A0 + x0 * ha;
wt1 = xwts[x1 + x0];
Af1 = (float *) A1;
wt1f = float(wt1);
y = 0;
FORs(ADD(LD(Cf[y]), MUL(LDu(Af1[y]), SET(wt1f))));
FORr(C[y] + A1[y] * wt1);
}
x1 += m;
} else {
bool xBd = x < xbd[0] || x >= wb - xbd[1];
x1++;
if (xBd) memcpy(C, A0, ha * sizeof(T));
if (!xBd) FORs(ADD(MUL(LDu(Af0[y]), SET(wtf)), MUL(LDu(Af1[y]), SET(wt1f))));
if (!xBd) FORr(A0[y] * wt + A1[y] * wt1);
}
#undef FORs
#undef FORr
// resample along y direction (B -> C)
if (ha == hb * 2) {
T r2 = r / 2;
int k = ((~((size_t) B0) + 1) & 15) / 4;
y = 0;
for (; y < k; y++) B0[y] = (C[2 * y] + C[2 * y + 1]) * r2;
if (sse)
for (; y < hb - 4; y += 4)
STR(Bf0[y], MUL((float) r2, _mm_shuffle_ps(ADD(
LDu(Cf[2 * y]), LDu(Cf[2 * y + 1])), ADD(LDu(Cf[2 * y + 4]), LDu(Cf[2 * y + 5])),
136)));
for (; y < hb; y++) B0[y] = (C[2 * y] + C[2 * y + 1]) * r2;
} else if (ha == hb * 3) {
for (y = 0; y < hb; y++) B0[y] = (C[3 * y] + C[3 * y + 1] + C[3 * y + 2]) * (r / 3);
} else if (ha == hb * 4) {
for (y = 0; y < hb; y++) B0[y] = (C[4 * y] + C[4 * y + 1] + C[4 * y + 2] + C[4 * y + 3]) * (r / 4);
} else if (ha > hb) {
y = 0;
//if( sse && ybd[0]<=4 ) for(; y<hb; y++) // Requires SSE4
// STR1(Bf0[y],_mm_dp_ps(LDu(Cf[yas[y*4]]),LDu(ywtsf[y*4]),0xF1));
#define U(o) C[ya+o]*ywts[y*4+o]
if (ybd[0] == 2)
for (; y < hb; y++) {
ya = yas[y * 4];
B0[y] = U(0) + U(1);
}
if (ybd[0] == 3)
for (; y < hb; y++) {
ya = yas[y * 4];
B0[y] = U(0) + U(1) + U(2);
}
if (ybd[0] == 4)
for (; y < hb; y++) {
ya = yas[y * 4];
B0[y] = U(0) + U(1) + U(2) + U(3);
}
if (ybd[0] > 4) for (; y < hn; y++) { B0[ybs[y]] += C[yas[y]] * ywts[y]; }
#undef U
} else {
for (y = 0; y < ybd[0]; y++) B0[y] = C[yas[y]] * ywts[y];
for (; y < hb - ybd[1]; y++) B0[y] = C[yas[y]] * ywts[y] + C[yas[y] + 1] * (r - ywts[y]);
for (; y < hb; y++) B0[y] = C[yas[y]] * ywts[y];
}
}
alFree(xas);
alFree(xbs);
alFree(xwts);
alFree(C);
alFree(yas);
alFree(ybs);
alFree(ywts);
}
#endif //IMRESAMPLEMEX_H