/*
  step.c
  Ruby/Numo::NArray - Numerical Array class for Ruby
    Copyright (C) 2007-2019 Masahiro TANAKA
*/
#include <ruby.h>
#include <math.h>

#include "numo/narray.h"

#if defined(__FreeBSD__) && __FreeBSD__ < 4
#include <floatingpoint.h>
#endif

#ifdef HAVE_FLOAT_H
#include <float.h>
#endif

#ifdef HAVE_IEEEFP_H
#include <ieeefp.h>
#endif

#ifndef DBL_EPSILON
#define DBL_EPSILON 2.2204460492503131e-16
#endif

static ID id_beg, id_end, id_len, id_step;


#define EXCL(r) RTEST(rb_funcall((r), rb_intern("exclude_end?"), 0))

/*
 *  call-seq:
 *     step.parameters([array_size])    => [start,step,length]
 *
 *  Returns the iteration parameters of <i>step</i>.  If
 *  <i>array_sizse</i> is given, negative array index is considered.
 */

void
nary_step_array_index(VALUE obj, size_t ary_size,
                      size_t *plen, ssize_t *pbeg, ssize_t *pstep)
{
    size_t len;
    ssize_t beg=0, step=1;
    VALUE vbeg, vend, vstep, vlen;
    ssize_t end=ary_size;

#ifdef HAVE_RB_ARITHMETIC_SEQUENCE_EXTRACT
    rb_arithmetic_sequence_components_t x;
    rb_arithmetic_sequence_extract(obj, &x);

    vstep = x.step;
    vbeg = x.begin;
    vend = x.end;
#else
    struct enumerator *e;

    if (rb_obj_is_kind_of(obj, rb_cRange)) {
        vstep = rb_ivar_get(obj, id_step);
    } else { // Enumerator
        na_parse_enumerator_step(obj, &vstep);
        e = (struct enumerator *)DATA_PTR(obj);
        obj =  e->obj; // Range
    }

    vbeg = rb_funcall(obj, id_beg, 0);
    vend = rb_funcall(obj, id_end, 0);
#endif
    vlen = rb_ivar_get(obj, id_len);

    if (RTEST(vbeg)) {
        beg = NUM2SSIZET(vbeg);
        if (beg<0) {
            beg += ary_size;
        }
    }
    if (RTEST(vend)) {
        end = NUM2SSIZET(vend);
        if (end<0) {
            end += ary_size;
        }
    }

    //puts("pass 1");

    if (RTEST(vlen)) {
        len = NUM2SIZET(vlen);
        if (len>0) {
            if (RTEST(vstep)) {
                step = NUM2SSIZET(step);
                if (RTEST(vbeg)) {
                    if (RTEST(vend)) {
                        rb_raise( rb_eStandardError, "verbose Step object" );
                    } else {
                        end = beg + step*(len-1);
                    }
                } else {
                    if (RTEST(vend)) {
                        if (EXCL(obj)) {
                            if (step>0) end--;
                            if (step<0) end++;
                        }
                        beg = end - step*(len-1);
                    } else {
                        beg = 0;
                        end = step*(len-1);
                    }
                }
            } else { // no step
                step = 1;
                if (RTEST(vbeg)) {
                    if (RTEST(vend)) {
                        if (EXCL(obj)) {
                            if (beg<end) end--;
                            if (beg>end) end++;
                        }
                        if (len>1)
                            step = (end-beg)/(len-1);
                    } else {
                        end = beg + (len-1);
                    }
                } else {
                    if (RTEST(vend)) {
                        if (EXCL(obj)) {
                            end--;
                        }
                        beg = end - (len-1);
                    } else {
                        beg = 0;
                        end = len-1;
                    }
                }
            }
        }
    } else { // no len
        if (RTEST(vstep)) {
            step = NUM2SSIZET(vstep);
        } else {
            step = 1;
        }
        if (step>0) {
            if (!RTEST(vbeg)) {
                beg = 0;
            }
            if (!RTEST(vend)) {
                end = ary_size-1;
            }
            else if (EXCL(obj)) {
                end--;
            }
            if (beg<=end) {
                len = (end-beg)/step+1;
            } else {
                len = 0;
            }
        } else if (step<0) {
            if (!RTEST(vbeg)) {
                beg = ary_size-1;
            }
            if (!RTEST(vend)) {
                end = 0;
            }
            else if (EXCL(obj)) {
                end++;
            }
            if (beg>=end) {
                len = (beg-end)/(-step)+1;
            } else {
                len = 0;
            }
        } else {
            rb_raise( rb_eStandardError, "step must be non-zero" );
        }
    }

    //puts("pass 2");

    if (beg<0 || beg>=(ssize_t)ary_size ||
        end<0 || end>=(ssize_t)ary_size) {
        rb_raise( rb_eRangeError,
                  "beg=%"SZF"d,end=%"SZF"d is out of array size (%"SZF"u)",
                  beg, end, ary_size );
    }
    if (plen) *plen = len;
    if (pbeg) *pbeg = beg;
    if (pstep) *pstep = step;
}

void
nary_step_sequence( VALUE obj, size_t *plen, double *pbeg, double *pstep )
{
    VALUE vend, vstep, vlen;
    double dbeg, dend, dstep=1, dsize, err;
    size_t size, n;

#ifdef HAVE_RB_ARITHMETIC_SEQUENCE_EXTRACT
    rb_arithmetic_sequence_components_t x;
    rb_arithmetic_sequence_extract(obj, &x);

    vstep = x.step;
    dbeg = NUM2DBL(x.begin);
    vend = x.end;
#else
    struct enumerator *e;

    if (rb_obj_is_kind_of(obj, rb_cRange)) {
        vstep = rb_ivar_get(obj, id_step);
    } else { // Enumerator
        na_parse_enumerator_step(obj, &vstep);
        e = (struct enumerator *)DATA_PTR(obj);
        obj =  e->obj; // Range
    }

    dbeg = NUM2DBL(rb_funcall(obj, id_beg, 0));
    vend = rb_funcall(obj, id_end, 0);
#endif
    vlen = rb_ivar_get(obj, id_len);

    if (RTEST(vlen)) {
        size = NUM2SIZET(vlen);

        if (!RTEST(vstep)) {
            if (RTEST(vend)) {
                dend = NUM2DBL(vend);
                if (EXCL(obj)) {
                    n = size;
                } else {
                    n = size-1;
                }
                if (n>0) {
                    dstep = (dend-dbeg)/n;
                } else {
                    dstep = 1;
                }
            } else {
                dstep = 1;
            }
        }
    } else {
        if (!RTEST(vstep)) {
            dstep = 1;
        } else {
            dstep = NUM2DBL(vstep);
        }
        if (RTEST(vend)) {
            dend = NUM2DBL(vend);
            err = (fabs(dbeg)+fabs(dend)+fabs(dend-dbeg))/fabs(dstep)*DBL_EPSILON;
            if (err>0.5) err=0.5;
            dsize = (dend-dbeg)/dstep;
            if (EXCL(obj))
                dsize -= err;
            else
                dsize += err;
            dsize = floor(dsize) + 1;
            if (dsize<0) dsize=0;
            if (isinf(dsize) || isnan(dsize)) {
                rb_raise(rb_eArgError, "not finite size");
            }
            size = dsize;
        } else {
            rb_raise(rb_eArgError, "cannot determine length argument");
        }
    }

    if (plen) *plen = size;
    if (pbeg) *pbeg = dbeg;
    if (pstep) *pstep = dstep;
}

void
Init_nary_step()
{
    rb_define_alias(rb_cRange, "%", "step");

    id_beg  = rb_intern("begin");
    id_end  = rb_intern("end");
    id_len  = rb_intern("length");
    id_step = rb_intern("step");
}