Lattice Hx () {
Lattice H(2,cpx(.5,sqrt(3)/2));
H.bond(0,1).bond(0,1,coo(-1,0)).bond(0,1,coo(0,-1));
H.z[0]=0;
H.z[1]=cpx(1,1)/cpx(3);
return H;
}
Lattice T2 () {
Lattice T2(2,cpx(0,sqrt(3.0)));
T2.bond(0,1).bond(0,0,coo(1,0)).bond(1,0,coo(1,0)).bond(1,0,coo(0,1)).bond(1,0,coo(1,1)).bond(1,1,coo(1,0));
T2.z[0]=0;
T2.z[1]=cpx(.5,.5);
return T2;
}
Lattice K () {
Lattice K(3,cpx(.5,sqrt(3)/2));
K.bond(0,1).bond(0,2).bond(1,2).bond(1,0,coo(1,0)).bond(2,0,coo(0,1)).bond(1,2,coo(1,-1));
K.z[0]=0;
K.z[1]=.5;
K.z[2]=cpx(0,.5);
return K;
}
Lattice H2 () {
Lattice H2(4,cpx(0,sqrt(3.0)));
H2.bond(0,1).bond(1,2).bond(2,3).bond(3,0,coo(0,1)).bond(2,1,coo(1,0)).bond(3,0,coo(1,1));
H2.z[0]=0;
H2.z[1]=cpx(0,1.0/3);
H2.z[2]=cpx(.5,.5);
H2.z[3]=cpx(.5,5.0/6);
return H2;
}
Lattice SO () {
Lattice SO(4);
SO.bond(0,1).bond(1,2).bond(2,3).bond(3,0).bond(2,0,coo(0,1)).bond(1,3,coo(1,0));
SO.z[0]=cpx(.5,.25);
SO.z[1]=cpx(.75,.5);
SO.z[2]=cpx(.5,.75);
SO.z[3]=cpx(.25,.5);
return SO;
}
Lattice G67 () {
Lattice G67(3, cpx(0,sqrt(6.0/7)));
G67.bond(0,1).bond(0,2).bond(1,2).bond(0,0,coo(1,0)).bond(0,0,coo(0,1)).bond(0,1,coo(-1,0))
.bond(0,1,coo(0,-1)).bond(0,1,coo(-1,-1)).bond(2,0,coo(0,1));
G67.z[0]=0;
G67.z[1]=cpx(.5,.5);
G67.z[2]=cpx(1.0/6,.5);
return G67;
}
Lattice SV () {
Lattice SV(4);
SV.bond(0,1).bond(1,2).bond(2,3).bond(3,0).bond(1,3).bond(1,0,coo(1,0)).bond(2,3,coo(1,0))
.bond(1,3,coo(1,0)).bond(0,3,coo(0,-1)).bond(1,2,coo(0,-1)).bond(2,0,coo(1,1)).bond(3,1,coo(0,1));
SV.z[0]=0;
SV.z[1]=.5;
SV.z[2]=cpx(.5,.5);
SV.z[3]=cpx(0,.5);
return SV;
}
void cp_and_padding(Image<cpx> &ori, Image<T> &img){
for(int i = 0; i < ori.rows; ++i){
for(int j = 0; j < ori.cols; ++j){
if(i < img.rows and j < img.cols)
ori(i,j) = cpx(img(i,j),0);
else
ori(i,j) = cpx(0,0);
}
}
}
Lattice C5 () {
Lattice C5(5);
C5.bond(1,0).bond(1,4).bond(0,2).bond(0,3).bond(0,4).bond(2,3).bond(3,4).bond(2,1,coo(1,0)).bond(2,4,coo(1,0))
.bond(3,4,coo(1,0)).bond(3,1,coo(1,1)).bond(3,0,coo(1,1)).bond(3,2,coo(0,1)).bond(3,0,coo(0,1)).bond(4,0,coo(0,1));
C5.z[0]=.25;
C5.z[1]=cpx(0,.125);
C5.z[2]=cpx(.75,.25);
C5.z[3]=cpx(.75,.75);
C5.z[4]=cpx(.25,.5);
return C5;
}
Lattice K2 () {
Lattice K2(6,cpx(0,sqrt(3)));
K2.bond(0,1).bond(0,2).bond(1,2).bond(2,3).bond(2,4).bond(3,4).bond(4,5)
.bond(1,0,coo(1,0)).bond(4,3,coo(1,0)).bond(5,3,coo(1,0)).bond(5,1,coo(0,1)).bond(5,0,coo(1,1));
K2.z[0]=0;
K2.z[1]=.5;
K2.z[2]=cpx(.25,.25);
K2.z[3]=cpx(0,.5);
K2.z[4]=cpx(.5,.5);
K2.z[5]=cpx(.75,.75);
return K2;
}
int main(void)
{
printf("If rows come in identical pairs, then everything works.\n");
cpx a[8] = {0, 1, cpx(1,3), cpx(0,5), 1, 0, 2, 0};
cpx b[8] = {1, cpx(0,-2), cpx(0,1), 3, -1, -3, 1, -2};
cpx A[8];
cpx B[8];
FFT(a, A, 1, 8, 1);
FFT(b, B, 1, 8, 1);
for(int i = 0 ; i < 8 ; i++)
{
printf("%7.2lf%7.2lf", A[i].a, A[i].b);
}
printf("\n");
for(int i = 0 ; i < 8 ; i++)
{
cpx Ai(0,0);
for(int j = 0 ; j < 8 ; j++)
{
Ai = Ai + a[j] * EXP(j * i * two_pi / 8);
}
printf("%7.2lf%7.2lf", Ai.a, Ai.b);
}
printf("\n");
cpx AB[8];
for(int i = 0 ; i < 8 ; i++)
AB[i] = A[i] * B[i];
cpx aconvb[8];
FFT(AB, aconvb, 1, 8, -1);
for(int i = 0 ; i < 8 ; i++)
aconvb[i] = aconvb[i] / 8;
for(int i = 0 ; i < 8 ; i++)
{
printf("%7.2lf%7.2lf", aconvb[i].a, aconvb[i].b);
}
printf("\n");
for(int i = 0 ; i < 8 ; i++)
{
cpx aconvbi(0,0);
for(int j = 0 ; j < 8 ; j++)
{
aconvbi = aconvbi + a[j] * b[(8 + i - j) % 8];
}
printf("%7.2lf%7.2lf", aconvbi.a, aconvbi.b);
}
printf("\n");
return 0;
}
Lattice Z2C () {
Lattice Z2C(2);
Z2C.bond(0,0,coo(1,0)).bond(0,0,coo(0,1)).bond(0,1).bond(0,1,coo(-1,0)).bond(0,1,coo(0,-1)).bond(0,1,coo(-1,-1));
Z2C.z[0]=0;
Z2C.z[1]=cpx(.5,.5);
return Z2C;
}
vector<cpx> cl_fft<cpx>::run(const vector<cpx> &input)
{
cl_event upload_unmap_evt, start_evt, download_map_evt, *kernel_evts = new cl_event[launches.size()];
cl_int err;
// Upload
cl_float2 *input_buffer = (cl_float2*)clEnqueueMapBuffer(command_queue,
v_samples,
CL_TRUE,
CL_MAP_WRITE,
0,
samplesMemSize,
0,
NULL,
NULL,
&err);
CL_CHECK_ERR("clEnqueueMapBuffer", err);
for (int i = 0; i < samplesPerRun; i++)
{
input_buffer[i].x = real(input[i]);
input_buffer[i].y = imag(input[i]);
}
CL_CHECK_ERR("clEnqueueUnmapMemObject", clEnqueueUnmapMemObject(command_queue, v_samples, input_buffer, 0, NULL, &upload_unmap_evt));
// Calcola la FFT
cl_mem v_out = runInternal(v_samples, &start_evt, kernel_evts);
// Download
vector<cpx> result(samplesPerRun);
cl_float2 *output_buffer = (cl_float2*)clEnqueueMapBuffer(command_queue,
v_out,
CL_TRUE,
CL_MAP_READ,
0,
tmpMemSize,
1,
&kernel_evts[launches.size() - 1],
&download_map_evt,
&err);
CL_CHECK_ERR("clEnqueueMapBuffer", err);
for (int i = 0; i < samplesPerRun; i++)
result[i] = cpx(output_buffer[i].x, output_buffer[i].y);
CL_CHECK_ERR("clEnqueueUnmapMemObject", clEnqueueUnmapMemObject(command_queue, v_out, output_buffer, 0, NULL, NULL));
printStatsAndReleaseEvents(upload_unmap_evt, start_evt, kernel_evts, download_map_evt);
delete[] kernel_evts;
return result;
}
static char * CPX2() {
CPU *c = getCPU();
int8_t operand = 75;
OP_CODE_INFO *o = getOP_CODE_INFO(operand,0,modeImmediate);
setRegByte(c,IND_X,59);
cpx(c,o);
mu_run_test_with_args(testRegStatus,c,"10100000",
" NVUBDIZC NVUBDIZC\nCPX2 err, %s != %s");
freeOP_CODE_INFO(o);
free(c);
return 0;
}
intx fastmul(const intx &an, const intx &bn) {
string as = an.to_string(), bs = bn.to_string();
int n = size(as), m = size(bs), l = 1,
len = 5, radix = 100000,
*a = new int[n], alen = 0,
*b = new int[m], blen = 0;
memset(a, 0, n << 2);
memset(b, 0, m << 2);
for (int i = n - 1; i >= 0; i -= len, alen++)
for (int j = min(len - 1, i); j >= 0; j--)
a[alen] = a[alen] * 10 + as[i - j] - '0';
for (int i = m - 1; i >= 0; i -= len, blen++)
for (int j = min(len - 1, i); j >= 0; j--)
b[blen] = b[blen] * 10 + bs[i - j] - '0';
while (l < 2*max(alen,blen)) l <<= 1;
cpx *A = new cpx[l], *B = new cpx[l];
rep(i,0,l) A[i] = cpx(i < alen ? a[i] : 0, 0);
rep(i,0,l) B[i] = cpx(i < blen ? b[i] : 0, 0);
fft(A, l); fft(B, l);
rep(i,0,l) A[i] *= B[i];
fft(A, l, true);
ull *data = new ull[l];
rep(i,0,l) data[i] = (ull)(round(real(A[i])));
rep(i,0,l-1)
if (data[i] >= (unsigned int)(radix)) {
data[i+1] += data[i] / radix;
data[i] %= radix;
}
int stop = l-1;
while (stop > 0 && data[stop] == 0) stop--;
stringstream ss;
ss << data[stop];
for (int i = stop - 1; i >= 0; i--)
ss << setfill('0') << setw(len) << data[i];
delete[] A; delete[] B;
delete[] a; delete[] b;
delete[] data;
return intx(ss.str());
}
cpx Lattice::tau_rw () const {
double a=0, b=0, c=0;
for (unsigned k=0; k<n; ++k)
for (unsigned l=0; l<adj[k].size(); ++l) {
const Lattice_place &m = adj[k][l];
cpx u = cpx(m.z.x,m.z.y) + z[m.k] - z[k];
a += u.imag()*u.imag();
b += 2*u.real()*u.imag();
c += u.real()*u.real();
}
cpx delta = b*b - 4*a*c;
cpx t = (-b + sqrt(delta))/(2*a);
return (t.imag()>0 ? t : conj(t));
}
static int runTest(cl_context context, cl_command_queue command_queue, I *cl_algorithm_instance, int N, bool print, bool check)
{
vector<T> input = generateTestData<T>(N);
vector<cpx> output(N);
cl_int err;
const size_t samplesMemSize = cl_deviceDataSize<T>(N);
cl_mem v_output, v_input = clCreateBuffer(context, CL_MEM_READ_ONLY | CL_MEM_COPY_HOST_PTR, samplesMemSize, &input[0], &err);
CL_CHECK_ERR("clCreateBuffer", err);
cl_event kernel_evt;
v_output = cl_algorithm_instance->run(v_input, &kernel_evt);
CL_CHECK_ERR("clReleaseMemObject", clReleaseMemObject(v_input));
cl_float2 *output_buffer = (cl_float2*)clEnqueueMapBuffer(command_queue,
v_output,
CL_TRUE,
CL_MAP_READ,
0,
N * sizeof(cl_float2),
1,
&kernel_evt,
NULL,
&err);
CL_CHECK_ERR("clEnqueueMapBuffer", err);
for (int i = 0; i < N; i++)
output[i] = cpx(output_buffer[i].x, output_buffer[i].y);
CL_CHECK_ERR("clEnqueueUnmapMemObject", clEnqueueUnmapMemObject(command_queue, v_output, output_buffer, 0, NULL, NULL));
if (print)
cerr << output << endl;
if (check)
{
#ifdef ALLOW_NPOT
fprintf(stderr, "Calcolo serial naive DFT per riferimento...\n");
const vector<cpx> ref = serial_naive_dft(input);
#else
fprintf(stderr, "Calcolo serial non-recursive FFT per riferimento...\n");
const vector<cpx> ref = serial_nonrecursive_fft(input);
#endif
fprintf(stderr, "Distanza massima: %g\n", maxAbsDistance(output, ref));
}
return EXIT_SUCCESS;
}
QVector<float> SpectrumAnalyzerRangeData::runFFT(cl_mem samplesHistory, cl_int historyOffset, cl_int historyLength)
{
cl_event presum_evt, algo_evt;
CL_CHECK_ERR("clSetKernelArg", clSetKernelArg(circsum, 0, sizeof(cl_mem), &samples));
CL_CHECK_ERR("clSetKernelArg", clSetKernelArg(circsum, 1, sizeof(cl_mem), &samplesHistory));
CL_CHECK_ERR("clSetKernelArg", clSetKernelArg(circsum, 2, sizeof(cl_int), &historyOffset));
CL_CHECK_ERR("clSetKernelArg", clSetKernelArg(circsum, 3, sizeof(cl_int), &historyLength));
CL_CHECK_ERR("clSetKernelArg", clSetKernelArg(circsum, 4, sizeof(cl_int), &presumWindows));
CL_CHECK_ERR("clEnqueueNDRangeKernel", clEnqueueNDRangeKernel(command_queue,
circsum,
1,
NULL,
&windowSize,
&presumGroupSize,
0,
NULL,
&presum_evt
));
clEnqueueWaitForEvents(command_queue, 1, &presum_evt);
cl_mem output = algorithm.run(samples, &algo_evt);
QVector<float> risultato(windowSize);
cl_int err;
cl_float2 *output_buffer = (cl_float2*)clEnqueueMapBuffer(command_queue,
output,
CL_TRUE,
CL_MAP_READ,
0,
windowSize * sizeof(cl_float2),
1,
&algo_evt,
NULL,
&err);
CL_CHECK_ERR("clEnqueueMapBuffer", err);
for (int i = 0; i < windowSize; i++)
risultato[i] = abs(cpx(output_buffer[i].x, output_buffer[i].y));
CL_CHECK_ERR("clEnqueueUnmapMemObject", clEnqueueUnmapMemObject(command_queue, output, output_buffer, 0, NULL, NULL));
CL_CHECK_ERR("clReleaseEvent", clReleaseEvent(presum_evt));
CL_CHECK_ERR("clReleaseEvent", clReleaseEvent(algo_evt));
return risultato;
}
void FFT::rv (
double *real , // In: 0,2,4,... Out:Real parts
double *imag // In: 1,3,5,... Out: Imaginary parts
)
{
int i, j, lim ;
double theta, wr, wi, wkr, wki, t, h1r, h1i, h2r, h2i ;
cpx ( real , imag , 1 ) ;
/*
Use the guaranteed zero imag[0] to actually return real[n]
*/
t = real[0] ;
real[0] = t + imag[0] ;
imag[0] = t - imag[0] ;
/*
Now do the remainder through n-1
*/
theta = PI / (double) npts ;
t = sin ( 0.5 * theta ) ;
wr = 1.0 + (wkr = -2.0 * t * t) ;
wi = wki = sin ( theta ) ;
lim = (npts % 2) ? npts/2+1 : npts/2 ;
for (i=1 ; i<lim ; i++) {
j = npts - i ;
h1r = 0.5 * (real[i] + real[j]) ;
h1i = 0.5 * (imag[i] - imag[j]) ;
h2r = 0.5 * (imag[i] + imag[j]) ;
h2i = -0.5 * (real[i] - real[j]) ;
real[i] = wr * h2r - wi * h2i + h1r ;
imag[i] = wr * h2i + wi * h2r + h1i ;
real[j] = -wr * h2r + wi * h2i + h1r ;
imag[j] = wr * h2i + wi * h2r - h1i ;
t = wr ;
wr += t * wkr - wi * wki ;
wi += t * wki + wi * wkr ;
}
}
void FFT::irv (
double *real , // In: Real parts Out: 0,2,4,...
double *imag // In: Imaginary parts Out: 1,3,5,...
)
{
int i, j, lim ;
double theta, wr, wi, wkr, wki, t, h1r, h1i, h2r, h2i ;
theta = -PI / (double) npts ;
t = sin ( 0.5 * theta ) ;
wr = 1.0 + (wkr = -2.0 * t * t) ;
wi = wki = sin ( theta ) ;
lim = (npts % 2) ? npts/2+1 : npts/2 ;
for (i=1 ; i<lim ; i++) {
j = npts - i ;
h1r = 0.5 * (real[i] + real[j]) ;
h1i = 0.5 * (imag[i] - imag[j]) ;
h2r = -0.5 * (imag[i] + imag[j]) ;
h2i = 0.5 * (real[i] - real[j]) ;
real[i] = wr * h2r - wi * h2i + h1r ;
imag[i] = wr * h2i + wi * h2r + h1i ;
real[j] = -wr * h2r + wi * h2i + h1r ;
imag[j] = wr * h2i + wi * h2r - h1i ;
t = wr ;
wr += t * wkr - wi * wki ;
wi += t * wki + wi * wkr ;
}
t = real[0] ;
real[0] = 0.5 * (t + imag[0]) ;
imag[0] = 0.5 * (t - imag[0]) ;
cpx ( real , imag , -1 ) ;
t = 1.0 / npts ;
for (i=0 ; i<npts ; i++) {
real[i] *= t ;
imag[i] *= t ;
}
}
void serial_nonrecursive_fft_step(const vector<T> &vec_in, vector<cpx> &vec_out, int W)
{
const int N = vec_in.size();
const int H = N/W;
int dest_i = 0;
for (int k = 0; k < H/2; k++)
{
const int src_y1 = 2*k;
const int src_y2 = 2*k+1;
const cpx twiddle_factor = exp(cpx(0, M_PI_F/H*-2.f*k));
for (int src_x = 0; src_x < W; src_x++)
{
cpx p1 = vec_in[src_y1*W + src_x];
cpx p2 = vec_in[src_y2*W + src_x] * twiddle_factor;
vec_out[dest_i] = p1 + p2;
vec_out[dest_i + N/2] = p1 - p2;
dest_i++;
}
}
}
Handle(Geom_BSplineCurve) CFunctionToBspline::CFunctionToBsplineImpl::Curve()
{
bool interpolate = true;
std::vector<ChebSegment> segments = approxSegment(_umin, _umax, 1);
int N = _degree + 1;
math_Matrix Mt = monimial_to_bezier(N)*cheb_to_monomial(N);
// get estimated error and create bspline segments
std::vector<Handle(Geom_BSplineCurve)> curves;
double errTotal = 0.;
std::vector<ChebSegment>::iterator it = segments.begin();
for (; it != segments.end(); ++it) {
// get control points
ChebSegment& seg = *it;
math_Vector cpx = Mt*seg.cx;
math_Vector cpy = Mt*seg.cy;
math_Vector cpz = Mt*seg.cz;
TColgp_Array1OfPnt cp(1,cpx.Length());
for (int i = 1; i <= cpx.Length(); ++i) {
gp_Pnt p(cpx(i-1), cpy(i-1), cpz(i-1));
cp.SetValue(i, p);
}
if (interpolate) {
gp_Pnt pstart(_xfunc.value(seg.umin), _yfunc.value(seg.umin), _zfunc.value(seg.umin));
gp_Pnt pstop (_xfunc.value(seg.umax), _yfunc.value(seg.umax), _zfunc.value(seg.umax));
cp.SetValue(1, pstart);
cp.SetValue(cpx.Length(), pstop);
}
// create knots and multiplicity vector
TColStd_Array1OfReal knots(1,2);
knots.SetValue(1, seg.umin);
knots.SetValue(2, seg.umax);
TColStd_Array1OfInteger mults(1,2);
mults.SetValue(1, _degree+1);
mults.SetValue(2, _degree+1);
Handle(Geom_BSplineCurve) curve = new Geom_BSplineCurve(cp, knots, mults, _degree);
curves.push_back(curve);
if (seg.error > errTotal) {
errTotal = seg.error;
}
}
_err = errTotal;
// concatenate c1 the bspline curves
Handle(Geom_BSplineCurve) result = concatC1(curves);
#ifdef DEBUG
LOG(INFO) << "Result of BSpline approximation of function:";
LOG(INFO) << " approximation error = " << errTotal;
LOG(INFO) << " number of control points = " << result->NbPoles();
LOG(INFO) << " number of segments = " << curves.size();
#endif
return result;
}
void pulsesequence()
{
char c1d[MAXSTR]; /* option to record only 1D C13 spectrum */
int ncyc;
double tau1 = 0.002, /* t1 delay */
post_del = 0.0,
pwClvl = getval("pwClvl"), /* coarse power for C13 pulse */
pwC = getval("pwC"), /* C13 90 degree pulse length at pwClvl */
compC = getval("compC"),
compH = getval("compH"),
mixpwr = getval("mixpwr"),
jCH = getval("jCH"),
gt0 = getval("gt0"),
gt1 = getval("gt1"),
gt2 = getval("gt2"),
gzlvl0 = getval("gzlvl0"),
gzlvl1 = getval("gzlvl1"),
gzlvl2 = getval("gzlvl2"),
grec = getval("grec"),
phase = getval("phase");
getstr("c1d",c1d);
ncyc=1;
if(jCH > 0.0)
tau1 = 0.25/jCH;
dbl(ct, v1); /* v1 = 0 */
mod4(v1,oph);
hlv(ct,v2);
add(v2,v1,v2);
if (phase > 1.5)
incr(v1); /* hypercomplex phase increment */
initval(2.0*(double)((int)(d2*getval("sw1")+0.5)%2),v10);
add(v1,v10,v1);
add(oph,v10,oph);
mod4(v1,v1); mod4(v2,v2); mod4(oph,oph);
assign(zero,v3);
if(FIRST_FID)
{
HHmix = pbox_mix("HHmix", "DIPSI2", mixpwr, pw*compH, tpwr);
if(c1d[A] == 'n')
{
opx("CHdec"); setwave("WURST2 30k/1.2m"); pbox_par("steps","600"); cpx(pwC*compC, pwClvl);
CHdec = getDsh("CHdec");
}
}
ncyc = (int) (at/HHmix.pw) + 1;
post_del = ncyc*HHmix.pw - at;
/* BEGIN PULSE SEQUENCE */
status(A);
zgradpulse(gzlvl0, gt0);
rgpulse(pw, zero, 0.0, 0.0); /* destroy H-1 magnetization*/
zgradpulse(gzlvl0, gt0);
delay(1.0e-4);
obspower(tpwr);
txphase(v1);
decphase(zero);
dec2phase(zero);
presat();
obspower(tpwr);
delay(1.0e-5);
status(B);
if(c1d[A] == 'y')
{
rgpulse(pw,v1,0.0,0.0); /* 1H pulse excitation */
delay(d2);
rgpulse(pw,two,0.0,0.0); /* 1H pulse excitation */
assign(oph,v3);
}
else
{
decunblank(); pbox_decon(&CHdec);
rgpulse(pw,v1,0.0,0.0); /* 1H pulse excitation */
txphase(zero);
delay(d2);
pbox_decoff(); decblank();
decpower(pwClvl); decpwrf(4095.0);
delay(tau1 - POWER_DELAY);
simpulse(2.0*pw, 2.0*pwC, zero, zero, 0.0, 0.0);
txphase(one); decphase(one); dec2phase(one);
delay(tau1);
simpulse(pw, pwC, one, one, 0.0, 0.0);
txphase(zero); decphase(zero); dec2phase(zero);
delay(tau1);
simpulse(2.0*pw, 2.0*pwC, zero, zero, 0.0, 0.0);
delay(tau1);
simpulse(0.0, pwC, zero, zero, 0.0, 0.0);
}
zgradpulse(gzlvl1, gt1);
delay(grec);
simpulse(0.0, pwC, zero, v3, 0.0, rof2);
txphase(v2);
obsunblank(); pbox_xmtron(&HHmix);
status(C);
setactivercvrs("ny");
startacq(alfa);
acquire(np,1.0/sw);
endacq();
delay(post_del);
pbox_xmtroff(); obsblank();
zgradpulse(gzlvl2, gt2);
obspower(tpwr);
delay(grec);
rgpulse(pw,zero,0.0,rof2); /* 1H pulse excitation */
status(D);
setactivercvrs("yn");
startacq(alfa);
acquire(np,1.0/sw);
endacq();
}
cpx EXP(double theta) {
return cpx(cos(theta), sin(theta));
}
cpx operator/(cpx a, cpx b) {
cpx r = a * b.bar();
return cpx(r.a / b.modsq(), r.b / b.modsq());
}
cpx operator*(cpx a, cpx b) {
return cpx(a.a * b.a - a.b * b.b, a.a * b.b + a.b * b.a);
}
cpx operator+(cpx a, cpx b) {
return cpx(a.a + b.a, a.b + b.b);
}
cpx bar(void) const {
return cpx(a, -b);
}
void Lattice::optimize (double f (Lattice const &), double eps) {
double cost = f(*this);
double old_cost = cost + eps + 1;
double tmp_cost = cost;
while (old_cost - cost > eps) {
old_cost = cost;
double delta = sqrt(cost)/10;
tau += cpx(delta,0); tmp_cost = f(*this);
if (tmp_cost < cost) cost = tmp_cost;
else {
tau -= cpx(2*delta,0); tmp_cost = f(*this);
if (tmp_cost < cost) cost = tmp_cost;
else tau += cpx(delta,0);
}
tau += cpx(0,delta); tmp_cost = f(*this);
if (tmp_cost < cost) cost = tmp_cost;
else {
tau -= cpx(0,2*delta); tmp_cost = f(*this);
if (tmp_cost < cost) cost = tmp_cost;
else tau += cpx(0,delta);
}
for (unsigned i=0; i<n; ++i) {
if (i>0) {
z[i] += cpx(delta,0); tmp_cost = f(*this);
if (tmp_cost < cost) cost = tmp_cost;
else {
z[i] -= cpx(2*delta,0); tmp_cost = f(*this);
if (tmp_cost < cost) cost = tmp_cost;
else z[i] += cpx(delta,0);
}
z[i] += cpx(0,delta); tmp_cost = f(*this);
if (tmp_cost < cost) cost = tmp_cost;
else {
z[i] -= cpx(0,2*delta); tmp_cost = f(*this);
if (tmp_cost < cost) cost = tmp_cost;
else z[i] += cpx(0,delta);
}
}
r[i] += delta; tmp_cost = f(*this);
if (tmp_cost < cost) cost = tmp_cost;
else {
r[i] -= 2*delta; tmp_cost = f(*this);
if (tmp_cost < cost) cost = tmp_cost;
else r[i] += delta;
}
}
}
}
Lattice T() {
Lattice T(1,cpx(.5,sqrt(3)/2));
T.bond(0,0,coo(1,0)).bond(0,0,coo(0,1)).bond(0,0,coo(-1,1));
T.z[0]=0;
return T;
}