static void rexecutor_many_inplace(int n, fftw_real *in,
fftw_real *out,
fftw_plan_node *p,
int istride,
int howmany, int idist,
fftw_recurse_kind recurse_kind)
{
switch (p->type) {
case FFTW_REAL2HC:
{
fftw_real2hc_codelet *codelet = p->nodeu.real2hc.codelet;
int s;
HACK_ALIGN_STACK_ODD;
for (s = 0; s < howmany; ++s)
codelet(in + s * idist, in + s * idist,
in + n * istride + s * idist,
istride, istride, -istride);
break;
}
case FFTW_HC2REAL:
{
fftw_hc2real_codelet *codelet = p->nodeu.hc2real.codelet;
int s;
HACK_ALIGN_STACK_ODD;
for (s = 0; s < howmany; ++s)
codelet(in + s * idist, in + n * istride + s * idist,
in + s * idist,
istride, -istride, istride);
break;
}
default:
{
int s;
fftw_real *tmp;
if (out)
tmp = out;
else
tmp = (fftw_real *) fftw_malloc(n * sizeof(fftw_real));
for (s = 0; s < howmany; ++s) {
rfftw_executor_simple(n,
in + s * idist,
tmp,
p, istride, 1, recurse_kind);
rfftw_strided_copy(n, tmp, istride, in + s * idist);
}
if (!out)
fftw_free(tmp);
}
}
}
static void executor_many(int n, const fftw_complex *in,
fftw_complex *out,
fftw_plan_node *p,
int istride,
int ostride,
int howmany, int idist, int odist,
fftw_recurse_kind recurse_kind)
{
int s;
switch (p->type) {
case FFTW_NOTW:
{
fftw_notw_codelet *codelet = p->nodeu.notw.codelet;
HACK_ALIGN_STACK_ODD;
for (s = 0; s < howmany; ++s)
codelet(in + s * idist,
out + s * odist,
istride, ostride);
break;
}
default:
for (s = 0; s < howmany; ++s)
fftw_executor_simple(n, in + s * idist,
out + s * odist,
p, istride, ostride,
recurse_kind);
}
}
/*
* in: array of n/2 + 1 complex numbers (* howmany).
* out: array of n real numbers (* howmany).
* work: array of n real numbers (stride 1)
*
* We must have out != in if dist < stride.
*/
void rfftw_c2real_aux(fftw_plan plan, int howmany,
fftw_complex *in, int istride, int idist,
fftw_real *out, int ostride, int odist,
fftw_real *work)
{
fftw_plan_node *p = plan->root;
switch (p->type) {
case FFTW_HC2REAL:
{
fftw_hc2real_codelet *codelet = p->nodeu.hc2real.codelet;
int j;
HACK_ALIGN_STACK_ODD();
for (j = 0; j < howmany; ++j)
codelet(&c_re(*(in + j * idist)),
&c_im(*(in + j * idist)),
out + j * odist,
istride * 2, istride * 2, ostride);
break;
}
default:
{
int j, n = plan->n;
for (j = 0; j < howmany; ++j, in += idist, out += odist) {
rfftw_c2hc(n, in, istride, work);
rfftw_executor_simple(n, work, out, p, 1, ostride);
}
break;
}
}
}
static void rexecutor_many(int n, fftw_real *in,
fftw_real *out,
fftw_plan_node *p,
int istride,
int ostride,
int howmany, int idist, int odist,
fftw_recurse_kind recurse_kind)
{
int s;
switch (p->type) {
case FFTW_REAL2HC:
{
fftw_real2hc_codelet *codelet = p->nodeu.real2hc.codelet;
HACK_ALIGN_STACK_ODD;
for (s = 0; s < howmany; ++s)
codelet(in + s * idist, out + s * odist,
out + n * ostride + s * odist,
istride, ostride, -ostride);
break;
}
case FFTW_HC2REAL:
{
fftw_hc2real_codelet *codelet = p->nodeu.hc2real.codelet;
HACK_ALIGN_STACK_ODD;
for (s = 0; s < howmany; ++s)
codelet(in + s * idist, in + n * istride + s * idist,
out + s * odist,
istride, -istride, ostride);
break;
}
default:
for (s = 0; s < howmany; ++s)
rfftw_executor_simple(n, in + s * idist,
out + s * odist,
p, istride, ostride,
recurse_kind);
}
}
static void executor_many_inplace(int n, fftw_complex *in,
fftw_complex *out,
fftw_plan_node *p,
int istride,
int howmany, int idist,
fftw_recurse_kind recurse_kind)
{
switch (p->type) {
case FFTW_NOTW:
{
fftw_notw_codelet *codelet = p->nodeu.notw.codelet;
int s;
HACK_ALIGN_STACK_ODD;
for (s = 0; s < howmany; ++s)
codelet(in + s * idist,
in + s * idist,
istride, istride);
break;
}
default:
{
int s;
fftw_complex *tmp;
if (out)
tmp = out;
else
tmp = (fftw_complex *)
fftw_malloc(n * sizeof(fftw_complex));
for (s = 0; s < howmany; ++s) {
fftw_executor_simple(n,
in + s * idist,
tmp,
p, istride, 1, recurse_kind);
fftw_strided_copy(n, tmp, istride, in + s * idist);
}
if (!out)
fftw_free(tmp);
}
}
}
/*
* in: array of n real numbers (* howmany).
* out: array of n/2 + 1 complex numbers (* howmany).
* work: array of n real numbers (stride 1)
*
* We must have out != in if dist < stride.
*/
void rfftw_real2c_aux(fftw_plan plan, int howmany,
fftw_real *in, int istride, int idist,
fftw_complex *out, int ostride, int odist,
fftw_real *work)
{
fftw_plan_node *p = plan->root;
int j;
switch (p->type) {
case FFTW_REAL2HC:
{
fftw_real2hc_codelet *codelet = p->nodeu.real2hc.codelet;
int n = plan->n;
int n2 = (n & 1) ? 0 : (n + 1) / 2;
HACK_ALIGN_STACK_ODD;
for (j = 0; j < howmany; ++j, out += odist) {
codelet(in + j * idist,
&c_re(*out),
&c_im(*out),
istride, ostride * 2, ostride * 2);
c_im(out[0]) = 0.0;
c_im(out[n2 * ostride]) = 0.0;
}
break;
}
default:
{
int n = plan->n;
fftw_recurse_kind recurse_kind = plan->recurse_kind;
for (j = 0; j < howmany; ++j, in += idist, out += odist) {
rfftw_executor_simple(n, in, work, p, istride, 1,
recurse_kind);
rfftw_hc2c(n, work, out, ostride);
}
break;
}
}
}
/*
* Do *not* declare simple executor static--we need to call it
* from other files...also, preface its name with "fftw_"
* to avoid any possible name collisions.
*/
void fftw_executor_simple(int n, const fftw_complex *in,
fftw_complex *out,
fftw_plan_node *p,
int istride,
int ostride,
fftw_recurse_kind recurse_kind)
{
switch (p->type) {
case FFTW_NOTW:
HACK_ALIGN_STACK_ODD;
(p->nodeu.notw.codelet)(in, out, istride, ostride);
break;
case FFTW_TWIDDLE:
{
int r = p->nodeu.twiddle.size;
int m = n / r;
fftw_twiddle_codelet *codelet;
fftw_complex *W;
#ifdef FFTW_ENABLE_VECTOR_RECURSE
if (recurse_kind == FFTW_NORMAL_RECURSE)
#endif
executor_many(m, in, out,
p->nodeu.twiddle.recurse,
istride * r, ostride,
r, istride, m * ostride,
FFTW_NORMAL_RECURSE);
#ifdef FFTW_ENABLE_VECTOR_RECURSE
else
executor_many_vector(m, in, out,
p->nodeu.twiddle.recurse,
istride * r, ostride,
r, istride, m * ostride);
#endif
codelet = p->nodeu.twiddle.codelet;
W = p->nodeu.twiddle.tw->twarray;
HACK_ALIGN_STACK_EVEN;
codelet(out, W, m * ostride, m, ostride);
break;
}
case FFTW_GENERIC:
{
int r = p->nodeu.generic.size;
int m = n / r;
fftw_generic_codelet *codelet;
fftw_complex *W;
#ifdef FFTW_ENABLE_VECTOR_RECURSE
if (recurse_kind == FFTW_NORMAL_RECURSE)
#endif
executor_many(m, in, out,
p->nodeu.generic.recurse,
istride * r, ostride,
r, istride, m * ostride,
FFTW_NORMAL_RECURSE);
#ifdef FFTW_ENABLE_VECTOR_RECURSE
else
executor_many_vector(m, in, out,
p->nodeu.generic.recurse,
istride * r, ostride,
r, istride, m * ostride);
#endif
codelet = p->nodeu.generic.codelet;
W = p->nodeu.generic.tw->twarray;
codelet(out, W, m, r, n, ostride);
break;
}
case FFTW_RADER:
{
int r = p->nodeu.rader.size;
int m = n / r;
fftw_rader_codelet *codelet;
fftw_complex *W;
#ifdef FFTW_ENABLE_VECTOR_RECURSE
if (recurse_kind == FFTW_NORMAL_RECURSE)
#endif
executor_many(m, in, out,
p->nodeu.rader.recurse,
istride * r, ostride,
r, istride, m * ostride,
FFTW_NORMAL_RECURSE);
#ifdef FFTW_ENABLE_VECTOR_RECURSE
else
executor_many_vector(m, in, out,
p->nodeu.rader.recurse,
istride * r, ostride,
r, istride, m * ostride);
#endif
codelet = p->nodeu.rader.codelet;
W = p->nodeu.rader.tw->twarray;
codelet(out, W, m, r, ostride,
p->nodeu.rader.rader_data);
break;
}
default:
fftw_die("BUG in executor: invalid plan\n");
break;
}
}
/* executor_many_vector is like executor_many, but it pushes the
howmany loop down to the leaves of the transform: */
static void executor_many_vector(int n, const fftw_complex *in,
fftw_complex *out,
fftw_plan_node *p,
int istride,
int ostride,
int howmany, int idist, int odist)
{
int s;
switch (p->type) {
case FFTW_NOTW:
{
fftw_notw_codelet *codelet = p->nodeu.notw.codelet;
HACK_ALIGN_STACK_ODD;
for (s = 0; s < howmany; ++s)
codelet(in + s * idist,
out + s * odist,
istride, ostride);
break;
}
case FFTW_TWIDDLE:
{
int r = p->nodeu.twiddle.size;
int m = n / r;
fftw_twiddle_codelet *codelet;
fftw_complex *W;
for (s = 0; s < r; ++s)
executor_many_vector(m, in + s * istride,
out + s * (m * ostride),
p->nodeu.twiddle.recurse,
istride * r, ostride,
howmany, idist, odist);
codelet = p->nodeu.twiddle.codelet;
W = p->nodeu.twiddle.tw->twarray;
/* This may not be the right thing. We maybe should have
the howmany loop for the twiddle codelets at the
topmost level of the recursion, since odist is big;
i.e. separate recursions for twiddle and notwiddle. */
HACK_ALIGN_STACK_EVEN;
for (s = 0; s < howmany; ++s)
codelet(out + s * odist, W, m * ostride, m, ostride);
break;
}
case FFTW_GENERIC:
{
int r = p->nodeu.generic.size;
int m = n / r;
fftw_generic_codelet *codelet;
fftw_complex *W;
for (s = 0; s < r; ++s)
executor_many_vector(m, in + s * istride,
out + s * (m * ostride),
p->nodeu.generic.recurse,
istride * r, ostride,
howmany, idist, odist);
codelet = p->nodeu.generic.codelet;
W = p->nodeu.generic.tw->twarray;
for (s = 0; s < howmany; ++s)
codelet(out + s * odist, W, m, r, n, ostride);
break;
}
case FFTW_RADER:
{
int r = p->nodeu.rader.size;
int m = n / r;
fftw_rader_codelet *codelet;
fftw_complex *W;
for (s = 0; s < r; ++s)
executor_many_vector(m, in + s * istride,
out + s * (m * ostride),
p->nodeu.rader.recurse,
istride * r, ostride,
howmany, idist, odist);
codelet = p->nodeu.rader.codelet;
W = p->nodeu.rader.tw->twarray;
for (s = 0; s < howmany; ++s)
codelet(out + s * odist, W, m, r, ostride,
p->nodeu.rader.rader_data);
break;
}
default:
fftw_die("BUG in executor: invalid plan\n");
break;
}
}
void rfftw_executor_simple(int n, fftw_real *in,
fftw_real *out,
fftw_plan_node *p,
int istride,
int ostride,
fftw_recurse_kind recurse_kind)
{
switch (p->type) {
case FFTW_REAL2HC:
HACK_ALIGN_STACK_ODD;
(p->nodeu.real2hc.codelet) (in, out, out + n * ostride,
istride, ostride, -ostride);
break;
case FFTW_HC2REAL:
HACK_ALIGN_STACK_ODD;
(p->nodeu.hc2real.codelet) (in, in + n * istride, out,
istride, -istride, ostride);
break;
case FFTW_HC2HC:
{
int r = p->nodeu.hc2hc.size;
int m = n / r;
/*
* please do resist the temptation of initializing
* these variables here. Doing so forces the
* compiler to keep a live variable across the
* recursive call.
*/
fftw_hc2hc_codelet *codelet;
fftw_complex *W;
switch (p->nodeu.hc2hc.dir) {
case FFTW_REAL_TO_COMPLEX:
#ifdef FFTW_ENABLE_VECTOR_RECURSE
if (recurse_kind == FFTW_NORMAL_RECURSE)
#endif
rexecutor_many(m, in, out,
p->nodeu.hc2hc.recurse,
istride * r, ostride,
r, istride, m * ostride,
FFTW_NORMAL_RECURSE);
#ifdef FFTW_ENABLE_VECTOR_RECURSE
else
rexecutor_many_vector(m, in, out,
p->nodeu.hc2hc.recurse,
istride * r, ostride,
r, istride, m * ostride);
#endif
W = p->nodeu.hc2hc.tw->twarray;
codelet = p->nodeu.hc2hc.codelet;
HACK_ALIGN_STACK_EVEN;
codelet(out, W, m * ostride, m, ostride);
break;
case FFTW_COMPLEX_TO_REAL:
W = p->nodeu.hc2hc.tw->twarray;
codelet = p->nodeu.hc2hc.codelet;
HACK_ALIGN_STACK_EVEN;
codelet(in, W, m * istride, m, istride);
#ifdef FFTW_ENABLE_VECTOR_RECURSE
if (recurse_kind == FFTW_NORMAL_RECURSE)
#endif
rexecutor_many(m, in, out,
p->nodeu.hc2hc.recurse,
istride, ostride * r,
r, m * istride, ostride,
FFTW_NORMAL_RECURSE);
#ifdef FFTW_ENABLE_VECTOR_RECURSE
else
rexecutor_many_vector(m, in, out,
p->nodeu.hc2hc.recurse,
istride, ostride * r,
r, m * istride, ostride);
#endif
break;
default:
goto bug;
}
break;
}
case FFTW_RGENERIC:
{
int r = p->nodeu.rgeneric.size;
int m = n / r;
fftw_rgeneric_codelet *codelet = p->nodeu.rgeneric.codelet;
fftw_complex *W = p->nodeu.rgeneric.tw->twarray;
switch (p->nodeu.rgeneric.dir) {
case FFTW_REAL_TO_COMPLEX:
#ifdef FFTW_ENABLE_VECTOR_RECURSE
if (recurse_kind == FFTW_NORMAL_RECURSE)
#endif
rexecutor_many(m, in, out,
p->nodeu.rgeneric.recurse,
istride * r, ostride,
r, istride, m * ostride,
FFTW_NORMAL_RECURSE);
#ifdef FFTW_ENABLE_VECTOR_RECURSE
else
rexecutor_many_vector(m, in, out,
p->nodeu.rgeneric.recurse,
istride * r, ostride,
r, istride, m * ostride);
#endif
codelet(out, W, m, r, n, ostride);
break;
case FFTW_COMPLEX_TO_REAL:
codelet(in, W, m, r, n, istride);
#ifdef FFTW_ENABLE_VECTOR_RECURSE
if (recurse_kind == FFTW_NORMAL_RECURSE)
#endif
rexecutor_many(m, in, out,
p->nodeu.rgeneric.recurse,
istride, ostride * r,
r, m * istride, ostride,
FFTW_NORMAL_RECURSE);
#ifdef FFTW_ENABLE_VECTOR_RECURSE
else
rexecutor_many_vector(m, in, out,
p->nodeu.rgeneric.recurse,
istride, ostride * r,
r, m * istride, ostride);
#endif
break;
default:
goto bug;
}
break;
}
default:
bug:
fftw_die("BUG in rexecutor: invalid plan\n");
break;
}
}
/* rexecutor_many_vector is like rexecutor_many, but it pushes the
howmany loop down to the leaves of the transform: */
static void rexecutor_many_vector(int n, fftw_real *in,
fftw_real *out,
fftw_plan_node *p,
int istride,
int ostride,
int howmany, int idist, int odist)
{
switch (p->type) {
case FFTW_REAL2HC:
{
fftw_real2hc_codelet *codelet = p->nodeu.real2hc.codelet;
int s;
HACK_ALIGN_STACK_ODD;
for (s = 0; s < howmany; ++s)
codelet(in + s * idist, out + s * odist,
out + n * ostride + s * odist,
istride, ostride, -ostride);
break;
}
case FFTW_HC2REAL:
{
fftw_hc2real_codelet *codelet = p->nodeu.hc2real.codelet;
int s;
HACK_ALIGN_STACK_ODD;
for (s = 0; s < howmany; ++s)
codelet(in + s * idist, in + n * istride + s * idist,
out + s * odist,
istride, -istride, ostride);
break;
}
case FFTW_HC2HC:
{
int r = p->nodeu.hc2hc.size;
int m = n / r;
int i;
fftw_hc2hc_codelet *codelet;
fftw_complex *W;
switch (p->nodeu.hc2hc.dir) {
case FFTW_REAL_TO_COMPLEX:
for (i = 0; i < r; ++i)
rexecutor_many_vector(m, in + i * istride,
out + i * (m*ostride),
p->nodeu.hc2hc.recurse,
istride * r, ostride,
howmany, idist, odist);
W = p->nodeu.hc2hc.tw->twarray;
codelet = p->nodeu.hc2hc.codelet;
HACK_ALIGN_STACK_EVEN;
for (i = 0; i < howmany; ++i)
codelet(out + i * odist,
W, m * ostride, m, ostride);
break;
case FFTW_COMPLEX_TO_REAL:
W = p->nodeu.hc2hc.tw->twarray;
codelet = p->nodeu.hc2hc.codelet;
HACK_ALIGN_STACK_EVEN;
for (i = 0; i < howmany; ++i)
codelet(in + i * idist,
W, m * istride, m, istride);
for (i = 0; i < r; ++i)
rexecutor_many_vector(m, in + i * (m*istride),
out + i * ostride,
p->nodeu.hc2hc.recurse,
istride, ostride * r,
howmany, idist, odist);
break;
default:
goto bug;
}
break;
}
case FFTW_RGENERIC:
{
int r = p->nodeu.rgeneric.size;
int m = n / r;
int i;
fftw_rgeneric_codelet *codelet = p->nodeu.rgeneric.codelet;
fftw_complex *W = p->nodeu.rgeneric.tw->twarray;
switch (p->nodeu.rgeneric.dir) {
case FFTW_REAL_TO_COMPLEX:
for (i = 0; i < r; ++i)
rexecutor_many_vector(m, in + i * istride,
out + i * (m * ostride),
p->nodeu.rgeneric.recurse,
istride * r, ostride,
howmany, idist, odist);
for (i = 0; i < howmany; ++i)
codelet(out + i * odist, W, m, r, n, ostride);
break;
case FFTW_COMPLEX_TO_REAL:
for (i = 0; i < howmany; ++i)
codelet(in + i * idist, W, m, r, n, istride);
for (i = 0; i < r; ++i)
rexecutor_many_vector(m, in + i * m * istride,
out + i * ostride,
p->nodeu.rgeneric.recurse,
istride, ostride * r,
howmany, idist, odist);
break;
default:
goto bug;
}
break;
}
default:
bug:
fftw_die("BUG in rexecutor: invalid plan\n");
break;
}
}