Class: CArray

Inherits:
Object
  • Object
show all
Defined in:
lib/carray-calculus/core.rb

Overview

carray/base/calculus.rb

This file is part of Ruby/CArray extension library.
You can redistribute it and/or modify it under the terms of
the Ruby Licence.

Copyright (C) 2005 Hiroki Motoyoshi

Instance Method Summary collapse

Instance Method Details

#differentiate ⇒ Object 



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# File 'ext/carray_calculus.c', line 782

static VALUE
rb_ca_differentiate (volatile VALUE self,
                     volatile VALUE vsc, volatile VALUE vx)
{
  volatile VALUE rval = self;
  volatile VALUE out0, out;
  CArray *ca, *cv, *sc, *cx, *co0, *co;
  double *px, *po;
  ca_size_t i;

  Data_Get_Struct(self, CArray, ca);

  sc = ca_wrap_readonly(vsc,  CA_DOUBLE);

  if ( ca_is_any_masked(ca) || ca_is_any_masked(sc) ) {
    rb_raise(rb_eRuntimeError,
             "can't calculate differentiation when masked elements exist");
  }

  if ( ca->elements != sc->elements ) {
    rb_raise(rb_eRuntimeError, "data num mismatch with scale");
  }

  cv = ca_wrap_readonly(rval, CA_DOUBLE);
  cx = ca_wrap_readonly(vx,   CA_DOUBLE);

  co0 = carray_new(ca->data_type, cx->ndim, cx->dim, 0, NULL);
  out = out0 = ca_wrap_struct(co0);
  co = ca_wrap_writable(out, CA_DOUBLE);

  ca_attach_n(4, cv, sc, cx, co);

  px = (double*) cx->ptr;
  po = (double*) co->ptr;

  ca_update_mask(cx);
  if ( cx->mask ) {
    boolean8_t *mx, *mo;
    ca_create_mask(co);
    mx = (boolean8_t *) cx->mask->ptr;
    mo = (boolean8_t *) co->mask->ptr;
    for (i=0; i<cx->elements; i++) {
      if ( ! *mx ) {
        *po = differentiate((double*)sc->ptr, (double*)cv->ptr, 
                            cv->elements, *px);
      }
      else {
        *mo = 1;
      }
      mx++; mo++; px++, po++;
    }
  }
  else {
    for (i=0; i<cx->elements; i++) {
      *po = differentiate((double*)sc->ptr, (double*)cv->ptr, 
                          cv->elements, *px);
      px++, po++;
    }
  }

  ca_sync(co);
  ca_detach_n(4, cv, sc, cx, co);

  if ( rb_ca_is_scalar(vx) ) {
    return rb_funcall(out0, rb_intern("[]"), 1, INT2NUM(0));
  }
  else {
    return out0;
  }
}

#integrate ⇒ Object 



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# File 'ext/carray_calculus.c', line 73

static VALUE
rb_ca_integrate (volatile VALUE self, volatile VALUE vsc)
{
  CArray *sc, *ca;
  double ans;

  ca = ca_wrap_readonly(self, CA_DOUBLE);
  sc = ca_wrap_readonly(vsc, CA_DOUBLE);

  if ( ca->elements != sc->elements ) {
    rb_raise(rb_eRuntimeError, "data num mismatch");
  }

  if ( ca_is_any_masked(ca) || ca_is_any_masked(sc) ) {
    rb_raise(rb_eRuntimeError,
             "can't calculate integrattion when masked elements exist");
  }

  ca_attach_n(2, ca, sc);

  ans = simpson((double*)sc->ptr, (double*)ca->ptr, ca->elements);

  ca_detach_n(2, ca, sc);

  return rb_float_new(ans);
}

#interp_nd_linear ⇒ Object 



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# File 'ext/carray_interp.c', line 235

static VALUE
rb_ca_interpolate_bilinear (int argc, VALUE *argv, volatile VALUE self)
{
  volatile VALUE vscales, vvalues, vs, out;
  CArray *ca, *co, *cs;
  double *scales[CA_RANK_MAX];
  CArray *values[CA_RANK_MAX];
  CArray *scales_ca[CA_RANK_MAX];
  int8_t out_ndim;
  ca_size_t out_dim[CA_RANK_MAX];
  int i;

  rb_scan_args(argc, argv, "2", &vscales, &vvalues);

  Check_Type(vscales, T_ARRAY);
  Check_Type(vvalues, T_ARRAY);

  if ( RARRAY_LEN(vscales) != RARRAY_LEN(vvalues) ) {
    rb_raise(rb_eArgError, "invalid number of values or scales");
  }

  ca = ca_wrap_readonly(self, CA_DOUBLE);

  if ( ca->ndim != RARRAY_LEN(vvalues) ) {
    rb_raise(rb_eArgError, "invalid number of values");
  }

  for (i=0; i<ca->ndim; i++) {
    vs = rb_ary_entry(vscales, i);
    if ( NIL_P(vs) ) {
      scales[i] = NULL;
    }
    else {
      cs = ca_wrap_readonly(vs, CA_DOUBLE);
      scales_ca[i] = cs;
      ca_attach(cs);
      scales[i] = (double *) cs->ptr;
      rb_ary_store(vscales, i, vs);
    }
  }

  out_ndim = 0;
  for (i=0; i<ca->ndim; i++) {
    vs = rb_ary_entry(vvalues, i);
    if ( NIL_P(vs) ) {
      out_dim[out_ndim++] = ca->dim[i];
      values[i] = NULL;
    }
    else {
      values[i] = ca_wrap_readonly(vs, CA_DOUBLE);
      if ( values[i]->obj_type != CA_OBJ_SCALAR ) {
        out_dim[out_ndim++] = values[i]->elements;
      }
      rb_ary_store(vvalues, i, vs);
    }
  }

  if ( out_ndim == 0 ) {
    out = rb_cscalar_new(CA_DOUBLE, 0, NULL);
  }
  else {
    out = rb_carray_new(CA_DOUBLE, out_ndim, out_dim, 0, NULL);
  }

  Data_Get_Struct(out, CArray, co);

  for (i=0; i<ca->ndim; i++) {
    if ( values[i] ) {
      ca_attach(values[i]);
    }
  }

  ca_attach(ca);
  ca_interpolate(ca, scales, values, (double*) co->ptr);
  ca_detach(ca);

  for (i=0; i<ca->ndim; i++) {
    if ( values[i] ) {
      ca_detach(values[i]);
    }
    if ( scales[i] ) {
      ca_detach(scales_ca[i]);
    }
  }

  if ( out_ndim == 0 ) {
    return rb_ca_fetch_addr(out, 0);
  }
  else {
    return out;
  }
}

#interpolate ⇒ Object 



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# File 'ext/carray_calculus.c', line 593

static VALUE
rb_ca_interpolate (int argc, VALUE *argv, VALUE self)
{
  volatile VALUE rval = self;
  volatile VALUE vsc, vx, ropt, rtype = Qnil, out0, out;
  CArray *ca, *sc, *cv, *cx, *co0, *co;
  char *typename = NULL;
  int type = 0;
  double *px, *po;
  ca_size_t i;

  Data_Get_Struct(self, CArray, ca);

  rb_scan_args(argc, argv, "21", &vsc, &vx, &ropt);
  rb_scan_options(ropt, "type", &rtype);

  if ( ! NIL_P(rtype) ) {
    Check_Type(rtype, T_STRING);
    typename = StringValuePtr(rtype);
  }

  if ( typename == NULL || ! strncmp("cubic", typename, 5) ) {
    type = 3;
  }
  else if ( ! strncmp("linear", typename, 6) ) {
    type = 1;
  }
  else {
    volatile VALUE inspect = rb_inspect(rtype);
    rb_raise(rb_eRuntimeError, 
             "invalid interpolation type <%s>", StringValuePtr(inspect));
  }

  if ( ! NIL_P(vsc) ) {

    cv = ca_wrap_readonly(rval, CA_DOUBLE);
    sc = ca_wrap_readonly(vsc,  CA_DOUBLE);

    if ( ca_is_any_masked(cv) || ca_is_any_masked(sc) ) {
      rb_raise(rb_eRuntimeError,
               "can't calculate interpolation when masked elements exist");
    }

    if ( cv->elements != sc->elements ) {
      rb_raise(rb_eRuntimeError, "data num mismatch with scale");
    }

    cx = ca_wrap_readonly(vx,   CA_DOUBLE);

    co0 = carray_new(ca->data_type, cx->ndim, cx->dim, 0, NULL);
    out = out0 = ca_wrap_struct(co0);
    co = ca_wrap_writable(out, CA_DOUBLE);

    ca_attach_n(4, cv, sc, cx, co);

    px = (double*) cx->ptr;
    po = (double*) co->ptr;

    ca_update_mask(cx);
    if ( cx->mask ) {
      boolean8_t *mx, *mo;
      ca_create_mask(co);
      mx = (boolean8_t *) cx->mask->ptr;
      mo = (boolean8_t *) co->mask->ptr;
      if ( type == 3 ) {
        for (i=0; i<cx->elements; i++) {
          if ( ! *mx ) {
            *po = interpolate_cubic((double*)sc->ptr, (double*)cv->ptr, 
                                    cv->elements, *px);
          }
          else {
            *mo = 1;
          }
          mx++; mo++; po++; px++;
        }
      }
      else {
        for (i=0; i<cx->elements; i++) {
          if ( ! *mx ) {
            *po = interpolate_linear((double*)sc->ptr, (double*)cv->ptr, 
                                     cv->elements, *px);
          }
          else {
            *mo = 1;
          }
          mx++; mo++; po++; px++;
        }
      }
    }
    else {
      if ( type == 3 ) {
        for (i=0; i<cx->elements; i++) {
          *po++ = interpolate_cubic((double*)sc->ptr, (double*)cv->ptr, 
                                    cv->elements, *px++);
        }
      }
      else {
        for (i=0; i<cx->elements; i++) {
          *po++ = interpolate_linear((double*)sc->ptr, (double*)cv->ptr, 
                                     cv->elements, *px++);
        }
      }
    }

    ca_sync(co);
    ca_detach_n(4, cv, sc, cx, co);

  }
  else {

    
    cv = ca_wrap_readonly(rval, CA_DOUBLE);


    if ( ca_is_any_masked(cv) ) {
      rb_raise(rb_eRuntimeError,
               "can't calculate interpolation when masked elements exist");
    }

    cx = ca_wrap_readonly(vx,   CA_DOUBLE);

    co0 = carray_new(ca->data_type, cx->ndim, cx->dim, 0, NULL);
    out = out0 = ca_wrap_struct(co0);
    co = ca_wrap_writable(out, CA_DOUBLE);

    ca_attach_n(3, cv, cx, co);

    px = (double*) cx->ptr;
    po = (double*) co->ptr;

    ca_update_mask(cx);
    if ( cx->mask ) {
      boolean8_t *mx, *mo;
      ca_create_mask(co);
      mx = (boolean8_t *) cx->mask->ptr;
      mo = (boolean8_t *) co->mask->ptr;
      if ( type == 3 ) {
        for (i=0; i<cx->elements; i++) {
          if ( ! *mx ) {
            *po = interpolate_cubic(NULL, (double*)cv->ptr, 
                                    cv->elements, *px);
          }
          else {
            *mo = 1;
          }
          mx++; mo++; po++; px++;
        }
      }
      else {
        for (i=0; i<cx->elements; i++) {
          if ( ! *mx ) {
            *po = interpolate_linear(NULL, (double*)cv->ptr, 
                                     cv->elements, *px);
          }
          else {
            *mo = 1;
          }
          mx++; mo++; po++; px++;
        }
      }
    }
    else {
      if ( type == 3 ) {
        for (i=0; i<cx->elements; i++) {
          *po++ = interpolate_cubic(NULL, (double*)cv->ptr, 
                                    cv->elements, *px++);
        }
      }
      else {
        for (i=0; i<cx->elements; i++) {
          *po++ = interpolate_linear(NULL, (double*)cv->ptr, 
                                     cv->elements, *px++);
        }
      }
    }

    ca_sync(co);
    ca_detach_n(3, cv, cx, co);    
    
  }

  if ( rb_ca_is_scalar(vx) ) {
    return rb_funcall(out0, rb_intern("[]"), 1, INT2NUM(0));
  }
  else {
    return out0;
  }
}

#interpolate2(x, y, x0, y0) ⇒ Object 



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# File 'lib/carray-calculus/core.rb', line 103

def interpolate2 (x, y, x0, y0)
  if x0.is_a?(Numeric) and y0.is_a?(Numeric)
    return _interpolate2(x, y, x0, y0)
  else
    x0 = CArray.wrap_readonly(x0)
    y0 = CArray.wrap_readonly(y0)
    out = CArray.double(x0.size, y0.size)
    x0.each_with_index do |xi, i|
      y0.each_with_index do |yj, j|
        out[i,j] = _interpolate2(x, y, xi, yj)
      end
    end
    return out.compact
  end
end

#normalize(scale = nil) ⇒ Object 



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# File 'lib/carray-calculus/core.rb', line 15

def normalize (scale = nil)
  if scale
    return self / self.integrate(scale)
  else
    return self / self.sum
  end
end

#normalize!(scale = nil) ⇒ Object 



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# File 'lib/carray-calculus/core.rb', line 23

def normalize! (scale = nil)
  self[] = normalize(scale)
  return self
end

#solve(sc, val, type: "cubic", eps: 100 * Float::EPSILON) ⇒ Object 



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# File 'lib/carray-calculus/core.rb', line 28

def solve (sc, val, type: "cubic", eps: 100 * Float::EPSILON)
  func = self - val
  list, output = [], []
  (0...dim0-1).each do |i|
    if func[i] == UNDEF
    elsif func[i].abs < eps and not list.include?(i-1)
      output.push(sc[i])
    elsif func[i+1] == UNDEF
    elsif i < dim0 - 1 and func[i]*func[i+1] < 0
      list.push(i)
    end
  end
  list.each do |i|
    sx = CArray.double(4)
    sy = CArray.double(4)
    sx[0], sx[3] = sc[i], sc[i+1]
    sy[0], sy[3] = func[i], func[i+1]
    sx[1], sx[2] = (2.0*sx[0]+sx[3])/3.0, (sx[0]+2.0*sx[3])/3.0
    sy[1], sy[2] = func.interpolate(sc, sx[1], type: type), func.interpolate(sc, sx[2], type: type)
    output.push(sx.interpolate(sy, 0, type: type))
  end
  return output.uniq
end

#solve2(sc, eps: 100 * Float::EPSILON) ⇒ Object 



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# File 'lib/carray-calculus/core.rb', line 52

def solve2 (sc, eps: 100 * Float::EPSILON)
  retvals = []
  self.dim1.times do |j|
    func = self[nil,j].to_ca
    list, output = [], []
    (0...dim0-1).each do |i|
      if func[i] == UNDEF
      elsif func[i].abs < eps and not list.include?(i-1)
        output.push(sc[i])
      elsif func[i+1] == UNDEF
      elsif i < dim0 - 1 and func[i]*func[i+1] < 0
        list.push(i)
      end
    end
    list.each do |i|
      sx = CArray.double(4)
      sy = CArray.double(4)
      sx[0], sx[3] = sc[i], sc[i+1]
      sy[0], sy[3] = func[i], func[i+1]
      sx[1], sx[2] = (2*sx[0]+sx[3])/3, (sx[0]+2*sx[3])/3
      sy[1], sy[2] = func.interpolate(sc, sx[1], :type=>"linear"), func.interpolate(sc, sx[2], :type=>"linear")
      output.push(sx.interpolate(sy, 0))
    end
    retvals << output.uniq
  end
  retvals = retvals.map{|s| s.empty? ? [nil] : s}
  return retvals
end