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Kirill Smelkov
mariadb
Commits
248f2da6
Commit
248f2da6
authored
Oct 16, 2011
by
Alexey Botchkov
Browse files
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Email Patches
Plain Diff
GIS code cleanup.
parent
486df979
Changes
2
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Showing
2 changed files
with
458 additions
and
484 deletions
+458
-484
sql/gcalc_slicescan.cc
sql/gcalc_slicescan.cc
+426
-414
sql/gcalc_slicescan.h
sql/gcalc_slicescan.h
+32
-70
No files found.
sql/gcalc_slicescan.cc
View file @
248f2da6
...
...
@@ -40,6 +40,10 @@ typedef int (*sc_compare_func)(const void*, const void*);
#include "plistsort.c"
#define GCALC_COORD_MINUS 0x80000000
#define FIRST_DIGIT(d) ((d) & 0x7FFFFFFF)
#define GCALC_SIGN(d) ((d) & 0x80000000)
static
Gcalc_scan_iterator
::
point
*
eq_sp
(
const
Gcalc_heap
::
Info
*
pi
)
{
GCALC_DBUG_ASSERT
(
pi
->
type
==
Gcalc_heap
::
nt_eq_node
);
...
...
@@ -97,8 +101,8 @@ const char *gcalc_ev_name(int ev)
static
int
gcalc_pi_str
(
char
*
str
,
const
Gcalc_heap
::
Info
*
pi
,
const
char
*
postfix
)
{
return
sprintf
(
str
,
"%s %d %d | %s %d %d%s"
,
pi
->
ix
.
sign
?
"-"
:
""
,
pi
->
ix
.
digits
[
0
],
pi
->
ix
.
digits
[
1
],
pi
->
iy
.
sign
?
"-"
:
""
,
pi
->
iy
.
digits
[
0
],
pi
->
iy
.
digits
[
1
],
GCALC_SIGN
(
pi
->
ix
[
0
])
?
"-"
:
""
,
FIRST_DIGIT
(
pi
->
ix
[
0
]),
pi
->
ix
[
1
],
GCALC_SIGN
(
pi
->
iy
[
0
])
?
"-"
:
""
,
FIRST_DIGIT
(
pi
->
iy
[
0
]),
pi
->
iy
[
1
],
postfix
);
}
...
...
@@ -274,264 +278,327 @@ void Gcalc_dyn_list::reset()
/* Internal coordinate operations implementations */
void
Gcalc_internal_coord
::
set_zero
(
)
void
gcalc_set_zero
(
Gcalc_internal_coord
*
d
,
int
d_len
)
{
int
n_res
=
0
;
do
{
digits
[
n_res
++
]
=
0
;
}
while
(
n_res
<
n_digits
);
sign
=
0
;
d
[
--
d_len
]
=
0
;
}
while
(
d_len
);
}
int
Gcalc_internal_coord
::
is_zero
()
const
int
gcalc_is_zero
(
const
Gcalc_internal_coord
*
d
,
int
d_len
)
{
int
n_res
=
0
;
do
{
if
(
d
igits
[
n_res
++
]
!=
0
)
if
(
d
[
--
d_len
]
!=
0
)
return
0
;
}
while
(
n_res
<
n_digits
);
}
while
(
d_len
);
return
1
;
}
#ifdef GCALC_CHECK_WITH_FLOAT
double
*
Gcalc_internal_coord
::
coord_extent
=
NULL
;
static
double
*
gcalc_
coord_extent
=
NULL
;
long
double
Gcalc_internal_coord
::
get_double
()
const
long
double
gcalc_get_double
(
const
Gcalc_internal_coord
*
d
,
int
d_len
)
{
int
n
=
1
;
long
double
res
=
(
long
double
)
digits
[
0
]
;
long
double
res
=
(
long
double
)
FIRST_DIGIT
(
d
[
0
])
;
do
{
res
*=
(
long
double
)
GCALC_DIG_BASE
;
res
+=
(
long
double
)
d
igits
[
n
];
}
while
(
++
n
<
n_digits
);
res
+=
(
long
double
)
d
[
n
];
}
while
(
++
n
<
d_len
);
n
=
0
;
do
{
if
((
n
&
1
)
&&
coord_extent
)
res
/=
*
coord_extent
;
}
while
(
++
n
<
n_digits
);
if
((
n
&
1
)
&&
gcalc_
coord_extent
)
res
/=
*
gcalc_
coord_extent
;
}
while
(
++
n
<
d_len
);
if
(
sign
)
if
(
GCALC_SIGN
(
d
[
0
])
)
res
*=
-
1.0
;
return
res
;
}
#endif
/*GCALC_CHECK_WITH_FLOAT*/
static
void
do_add
(
Gcalc_internal_coord
*
result
,
static
void
do_add
(
Gcalc_internal_coord
*
result
,
int
result_len
,
const
Gcalc_internal_coord
*
a
,
const
Gcalc_internal_coord
*
b
)
{
GCALC_DBUG_ASSERT
(
a
->
n_digits
==
b
->
n_digits
);
GCALC_DBUG_ASSERT
(
a
->
n_digits
==
result
->
n_digits
);
int
n_digit
=
a
->
n_digits
-
1
;
int
n_digit
=
result_len
-
1
;
gcalc_digit_t
carry
=
0
;
do
{
if
((
result
->
digits
[
n_digit
]
=
a
->
digits
[
n_digit
]
+
b
->
digits
[
n_digit
]
+
carry
)
>=
GCALC_DIG_BASE
)
if
((
result
[
n_digit
]
=
a
[
n_digit
]
+
b
[
n_digit
]
+
carry
)
>=
GCALC_DIG_BASE
)
{
carry
=
1
;
result
->
digits
[
n_digit
]
-=
GCALC_DIG_BASE
;
result
[
n_digit
]
-=
GCALC_DIG_BASE
;
}
else
carry
=
0
;
}
while
(
--
n_digit
);
result
->
digits
[
0
]
=
a
->
digits
[
0
]
+
b
->
digits
[
0
]
+
carry
;
GCALC_DBUG_ASSERT
(
result
->
digits
[
0
]
<
GCALC_DIG_BASE
);
result
->
sign
=
a
->
sign
;
result
[
0
]
=
(
a
[
0
]
+
FIRST_DIGIT
(
b
[
0
])
+
carry
);
GCALC_DBUG_ASSERT
(
FIRST_DIGIT
(
result
[
0
])
<
GCALC_DIG_BASE
);
}
static
void
do_sub
(
Gcalc_internal_coord
*
result
,
static
void
do_sub
(
Gcalc_internal_coord
*
result
,
int
result_len
,
const
Gcalc_internal_coord
*
a
,
const
Gcalc_internal_coord
*
b
)
{
GCALC_DBUG_ASSERT
(
a
->
n_digits
==
b
->
n_digits
);
GCALC_DBUG_ASSERT
(
a
->
n_digits
==
result
->
n_digits
);
int
n_digit
=
a
->
n_digits
-
1
;
int
n_digit
=
result_len
-
1
;
gcalc_digit_t
carry
=
0
;
gcalc_digit_t
cur_b
,
cur_a
;
do
{
if
((
result
->
digits
[
n_digit
]
=
a
->
digits
[
n_digit
]
-
b
->
digits
[
n_digit
]
-
carry
)
<
0
)
cur_b
=
b
[
n_digit
]
+
carry
;
cur_a
=
a
[
n_digit
];
if
(
cur_a
<
cur_b
)
{
carry
=
1
;
result
->
digits
[
n_digit
]
+=
GCALC_DIG_BASE
;
result
[
n_digit
]
=
(
GCALC_DIG_BASE
-
cur_b
)
+
cur_a
;
}
else
{
carry
=
0
;
}
while
(
n_digit
--
);
GCALC_DBUG_ASSERT
(
carry
==
0
);
if
(
a
->
sign
&&
result
->
is_zero
())
result
->
sign
=
0
;
else
result
->
sign
=
a
->
sign
;
result
[
n_digit
]
=
cur_a
-
cur_b
;
}
}
while
(
--
n_digit
);
result
[
0
]
=
a
[
0
]
-
FIRST_DIGIT
(
b
[
0
])
-
carry
;
GCALC_DBUG_ASSERT
(
FIRST_DIGIT
(
a
[
0
])
>=
FIRST_DIGIT
(
b
[
0
])
+
carry
);
GCALC_DBUG_ASSERT
(
!
gcalc_is_zero
(
result
,
result_len
));
}
/*
static void do_sub(Gcalc_internal_coord *result, int result_len,
const Gcalc_internal_coord *a,
const Gcalc_internal_coord *b)
{
int n_digit= result_len-1;
gcalc_digit_t carry= 0;
do
{
if ((result[n_digit]= a[n_digit] - b[n_digit] - carry) < 0)
{
carry= 1;
result[n_digit]+= GCALC_DIG_BASE;
}
else
carry= 0;
} while (--n_digit);
result[0]= a[0] - FIRST_DIGIT(b[0]) - carry;
GCALC_DBUG_ASSERT(FIRST_DIGIT(a[0]) - FIRST_DIGIT(b[0]) - carry >= 0);
GCALC_DBUG_ASSERT(!gcalc_is_zero(result, result_len));
}
*/
static
int
do_cmp
(
const
Gcalc_internal_coord
*
a
,
const
Gcalc_internal_coord
*
b
)
const
Gcalc_internal_coord
*
b
,
int
len
)
{
GCALC_DBUG_ASSERT
(
a
->
n_digits
==
b
->
n_digits
);
int
n_digit
=
0
;
int
n_digit
=
1
;
if
((
FIRST_DIGIT
(
a
[
0
])
!=
FIRST_DIGIT
(
b
[
0
])))
return
FIRST_DIGIT
(
a
[
0
])
>
FIRST_DIGIT
(
b
[
0
])
?
1
:
-
1
;
do
{
gcalc_digit_t
d
=
a
->
digits
[
n_digit
]
-
b
->
digits
[
n_digit
];
if
(
d
>
0
)
return
1
;
if
(
d
<
0
)
return
-
1
;
n_digit
++
;
}
while
(
n_digit
<
a
->
n_digits
);
if
((
a
[
n_digit
]
!=
b
[
n_digit
]))
return
a
[
n_digit
]
>
b
[
n_digit
]
?
1
:
-
1
;
}
while
(
++
n_digit
<
len
);
return
0
;
}
#ifdef GCALC_CHECK_WITH_FLOAT
static
int
de_
check
(
long
double
a
,
long
double
b
)
static
int
de_
weak_check
(
long
double
a
,
long
double
b
,
long
double
ex
)
{
long
double
d
=
a
-
b
;
if
(
d
<
(
long
double
)
1e-10
&&
d
>
(
long
double
)
-
1e-10
)
if
(
d
<
ex
&&
d
>
-
ex
)
return
1
;
d
/=
fabsl
(
a
)
+
fabsl
(
b
);
if
(
d
<
(
long
double
)
1e-10
&&
d
>
(
long
double
)
-
1e-10
)
if
(
d
<
ex
&&
d
>
-
ex
)
return
1
;
return
0
;
}
static
int
de_check
(
long
double
a
,
long
double
b
)
{
return
de_weak_check
(
a
,
b
,
(
long
double
)
1e-10
);
}
#endif
/*GCALC_CHECK_WITH_FLOAT*/
void
gcalc_mul_coord
(
Gcalc_internal_coord
*
result
,
const
Gcalc_internal_coord
*
a
,
const
Gcalc_internal_coord
*
b
)
void
gcalc_mul_coord
(
Gcalc_internal_coord
*
result
,
int
result_len
,
const
Gcalc_internal_coord
*
a
,
int
a_len
,
const
Gcalc_internal_coord
*
b
,
int
b_len
)
{
GCALC_DBUG_ASSERT
(
result
->
n_digits
==
a
->
n_digits
+
b
->
n_digits
);
GCALC_DBUG_ASSERT
(
result_len
==
a_len
+
b_len
);
GCALC_DBUG_ASSERT
(
a_len
>=
b_len
);
int
n_a
,
n_b
,
n_res
;
gcalc_digit_t
carry
=
0
;
result
->
set_zero
();
if
(
a
->
is_zero
()
||
b
->
is_zero
())
return
;
gcalc_set_zero
(
result
,
result_len
);
n_a
=
a
->
n_digits
-
1
;
n_a
=
a
_len
-
1
;
do
{
n_b
=
b
->
n_digits
-
1
;
gcalc_coord2
cur_a
=
n_a
?
a
[
n_a
]
:
FIRST_DIGIT
(
a
[
0
]);
n_b
=
b_len
-
1
;
do
{
gcalc_coord2
mul
=
((
gcalc_coord2
)
a
->
digits
[
n_a
])
*
b
->
digits
[
n_b
]
+
carry
+
result
->
digits
[
n_a
+
n_b
+
1
];
result
->
digits
[
n_a
+
n_b
+
1
]
=
mul
%
GCALC_DIG_BASE
;
gcalc_coord2
cur_b
=
n_b
?
b
[
n_b
]
:
FIRST_DIGIT
(
b
[
0
]);
gcalc_coord2
mul
=
cur_a
*
cur_b
+
carry
+
result
[
n_a
+
n_b
+
1
];
result
[
n_a
+
n_b
+
1
]
=
mul
%
GCALC_DIG_BASE
;
carry
=
mul
/
GCALC_DIG_BASE
;
}
while
(
n_b
--
);
if
(
carry
)
{
for
(
n_res
=
n_a
;
(
result
->
digits
[
n_res
]
+=
carry
)
>=
GCALC_DIG_BASE
;
for
(
n_res
=
n_a
;
(
result
[
n_res
]
+=
carry
)
>=
GCALC_DIG_BASE
;
n_res
--
)
{
result
->
digits
[
n_res
]
-=
GCALC_DIG_BASE
;
result
[
n_res
]
-=
GCALC_DIG_BASE
;
carry
=
1
;
}
carry
=
0
;
}
}
while
(
n_a
--
);
result
->
sign
=
a
->
sign
!=
b
->
sign
;
if
(
!
gcalc_is_zero
(
result
,
result_len
))
result
[
0
]
|=
GCALC_SIGN
(
a
[
0
]
^
b
[
0
]);
#ifdef GCALC_CHECK_WITH_FLOAT
GCALC_DBUG_ASSERT
(
de_check
(
a
->
get_double
()
*
b
->
get_double
(),
result
->
get_double
()));
GCALC_DBUG_ASSERT
(
de_check
(
gcalc_get_double
(
a
,
a_len
)
*
gcalc_get_double
(
b
,
b_len
),
gcalc_get_double
(
result
,
result_len
)));
#endif
/*GCALC_CHECK_WITH_FLOAT*/
}
void
gcalc_add_coord
(
Gcalc_internal_coord
*
result
,
inline
void
gcalc_mul_coord1
(
Gcalc_coord1
result
,
const
Gcalc_coord1
a
,
const
Gcalc_coord1
b
)
{
return
gcalc_mul_coord
(
result
,
GCALC_COORD_BASE2
,
a
,
GCALC_COORD_BASE
,
b
,
GCALC_COORD_BASE
);
}
void
gcalc_add_coord
(
Gcalc_internal_coord
*
result
,
int
result_len
,
const
Gcalc_internal_coord
*
a
,
const
Gcalc_internal_coord
*
b
)
{
if
(
a
->
sign
==
b
->
sign
)
do_add
(
result
,
a
,
b
);
if
(
GCALC_SIGN
(
a
[
0
])
==
GCALC_SIGN
(
b
[
0
])
)
do_add
(
result
,
result_len
,
a
,
b
);
else
{
int
cmp_res
=
do_cmp
(
a
,
b
);
int
cmp_res
=
do_cmp
(
a
,
b
,
result_len
);
if
(
cmp_res
==
0
)
result
->
set_zero
(
);
gcalc_set_zero
(
result
,
result_len
);
else
if
(
cmp_res
>
0
)
do_sub
(
result
,
a
,
b
);
do_sub
(
result
,
result_len
,
a
,
b
);
else
do_sub
(
result
,
b
,
a
);
do_sub
(
result
,
result_len
,
b
,
a
);
}
#ifdef GCALC_CHECK_WITH_FLOAT
GCALC_DBUG_ASSERT
(
de_check
(
a
->
get_double
()
+
b
->
get_double
(),
result
->
get_double
()));
GCALC_DBUG_ASSERT
(
de_check
(
gcalc_get_double
(
a
,
result_len
)
+
gcalc_get_double
(
b
,
result_len
),
gcalc_get_double
(
result
,
result_len
)));
#endif
/*GCALC_CHECK_WITH_FLOAT*/
}
void
gcalc_sub_coord
(
Gcalc_internal_coord
*
result
,
void
gcalc_sub_coord
(
Gcalc_internal_coord
*
result
,
int
result_len
,
const
Gcalc_internal_coord
*
a
,
const
Gcalc_internal_coord
*
b
)
{
if
(
a
->
sign
!=
b
->
sign
)
do_add
(
result
,
a
,
b
);
if
(
GCALC_SIGN
(
a
[
0
]
^
b
[
0
])
)
do_add
(
result
,
result_len
,
a
,
b
);
else
{
int
cmp_res
=
do_cmp
(
a
,
b
);
int
cmp_res
=
do_cmp
(
a
,
b
,
result_len
);
if
(
cmp_res
==
0
)
result
->
set_zero
(
);
gcalc_set_zero
(
result
,
result_len
);
else
if
(
cmp_res
>
0
)
do_sub
(
result
,
a
,
b
);
do_sub
(
result
,
result_len
,
a
,
b
);
else
{
do_sub
(
result
,
b
,
a
);
result
->
sign
=
1
-
result
->
sign
;
do_sub
(
result
,
result_len
,
b
,
a
);
result
[
0
]
^=
GCALC_COORD_MINUS
;
}
}
#ifdef GCALC_CHECK_WITH_FLOAT
GCALC_DBUG_ASSERT
(
de_check
(
a
->
get_double
()
-
b
->
get_double
(),
result
->
get_double
()));
GCALC_DBUG_ASSERT
(
de_check
(
gcalc_get_double
(
a
,
result_len
)
-
gcalc_get_double
(
b
,
result_len
),
gcalc_get_double
(
result
,
result_len
)));
#endif
/*GCALC_CHECK_WITH_FLOAT*/
}
inline
void
gcalc_sub_coord1
(
Gcalc_coord1
result
,
const
Gcalc_coord1
a
,
const
Gcalc_coord1
b
)
{
return
gcalc_sub_coord
(
result
,
GCALC_COORD_BASE
,
a
,
b
);
}
int
gcalc_cmp_coord
(
const
Gcalc_internal_coord
*
a
,
const
Gcalc_internal_coord
*
b
)
const
Gcalc_internal_coord
*
b
,
int
len
)
{
int
result
;
if
(
a
->
sign
!=
b
->
sign
)
return
a
->
sign
?
-
1
:
1
;
result
=
a
->
sign
?
do_cmp
(
b
,
a
)
:
do_cmp
(
a
,
b
);
int
n_digit
=
0
;
int
result
=
0
;
do
{
if
(
a
[
n_digit
]
==
b
[
n_digit
])
{
n_digit
++
;
continue
;
}
if
(
a
[
n_digit
]
>
b
[
n_digit
])
result
=
GCALC_SIGN
(
a
[
0
])
?
-
1
:
1
;
else
result
=
GCALC_SIGN
(
b
[
0
])
?
1
:
-
1
;
break
;
}
while
(
n_digit
<
len
);
#ifdef GCALC_CHECK_WITH_FLOAT
if
(
result
==
0
)
GCALC_DBUG_ASSERT
(
de_check
(
a
->
get_double
(),
b
->
get_double
()));
GCALC_DBUG_ASSERT
(
de_check
(
gcalc_get_double
(
a
,
len
),
gcalc_get_double
(
b
,
len
)));
else
if
(
result
==
1
)
GCALC_DBUG_ASSERT
(
de_check
(
a
->
get_double
(),
b
->
get_double
())
||
a
->
get_double
()
>
b
->
get_double
());
GCALC_DBUG_ASSERT
(
de_check
(
gcalc_get_double
(
a
,
len
),
gcalc_get_double
(
b
,
len
))
||
gcalc_get_double
(
a
,
len
)
>
gcalc_get_double
(
b
,
len
));
else
GCALC_DBUG_ASSERT
(
de_check
(
a
->
get_double
(),
b
->
get_double
())
||
a
->
get_double
()
<
b
->
get_double
());
GCALC_DBUG_ASSERT
(
de_check
(
gcalc_get_double
(
a
,
len
),
gcalc_get_double
(
b
,
len
))
||
gcalc_get_double
(
a
,
len
)
<
gcalc_get_double
(
b
,
len
));
#endif
/*GCALC_CHECK_WITH_FLOAT*/
return
result
;
}
#define gcalc_cmp_coord1(a, b) gcalc_cmp_coord(a, b)
#define gcalc_cmp_coord1(a, b) gcalc_cmp_coord(a, b, GCALC_COORD_BASE)
int
Gcalc_coord1
::
set_double
(
double
d
,
double
ext
)
int
gcalc_set_double
(
Gcalc_internal_coord
*
c
,
double
d
,
double
ext
)
{
int
sign
;
double
ds
=
d
*
ext
;
init
();
if
((
sign
=
ds
<
0
))
ds
=
-
ds
;
c
[
0
]
=
(
gcalc_digit_t
)
(
ds
/
(
double
)
GCALC_DIG_BASE
);
...
...
@@ -542,237 +609,70 @@ int Gcalc_coord1::set_double(double d, double ext)
c
[
1
]
=
0
;
c
[
0
]
++
;
}
if
(
sign
)
c
[
0
]
|=
GCALC_COORD_MINUS
;
#ifdef GCALC_CHECK_WITH_FLOAT
GCALC_DBUG_ASSERT
(
de_check
(
d
,
g
et_double
(
)));
GCALC_DBUG_ASSERT
(
de_check
(
d
,
g
calc_get_double
(
c
,
2
)));
#endif
/*GCALC_CHECK_WITH_FLOAT*/
return
0
;
}
void
Gcalc_coord1
::
copy
(
const
Gcalc_coord1
*
from
)
{
c
[
0
]
=
from
->
c
[
0
];
c
[
1
]
=
from
->
c
[
1
];
sign
=
from
->
sign
;
}
#ifdef GCALC_CHECK_WITH_FLOAT
static
void
calc_t
(
Gcalc_coord2
*
t_a
,
Gcalc_coord2
*
t_b
,
Gcalc_coord1
*
b1x
,
Gcalc_coord1
*
b1y
,
const
Gcalc_heap
::
Info
*
p1
,
const
Gcalc_heap
::
Info
*
p2
,
const
Gcalc_heap
::
Info
*
p3
,
const
Gcalc_heap
::
Info
*
p4
)
{
Gcalc_coord1
a2_a1x
,
a2_a1y
;
Gcalc_coord1
b2x
,
b2y
;
Gcalc_coord2
x1y2
,
x2y1
;
a2_a1x
.
init
();
a2_a1y
.
init
();
x1y2
.
init
();
x2y1
.
init
();
t_a
->
init
();
t_b
->
init
();
b1y
->
init
();
b1x
->
init
();
b2x
.
init
();
b2y
.
init
();
gcalc_sub_coord
(
&
a2_a1x
,
&
p3
->
ix
,
&
p1
->
ix
);
gcalc_sub_coord
(
&
a2_a1y
,
&
p3
->
iy
,
&
p1
->
iy
);
gcalc_sub_coord
(
b1x
,
&
p2
->
ix
,
&
p1
->
ix
);
gcalc_sub_coord
(
b1y
,
&
p2
->
iy
,
&
p1
->
iy
);
gcalc_sub_coord
(
&
b2x
,
&
p4
->
ix
,
&
p3
->
ix
);
gcalc_sub_coord
(
&
b2y
,
&
p4
->
iy
,
&
p3
->
iy
);
GCALC_DBUG_ASSERT
(
!
b1y
->
is_zero
()
||
!
b2y
.
is_zero
());
gcalc_mul_coord
(
&
x1y2
,
b1x
,
&
b2y
);
gcalc_mul_coord
(
&
x2y1
,
&
b2x
,
b1y
);
gcalc_sub_coord
(
t_b
,
&
x1y2
,
&
x2y1
);
gcalc_mul_coord
(
&
x1y2
,
&
a2_a1x
,
&
b2y
);
gcalc_mul_coord
(
&
x2y1
,
&
a2_a1y
,
&
b2x
);
gcalc_sub_coord
(
t_a
,
&
x1y2
,
&
x2y1
);
}
static
void
calc_t
(
Gcalc_coord2
*
t_a
,
Gcalc_coord2
*
t_b
,
Gcalc_coord1
*
b1x
,
Gcalc_coord1
*
b1y
,
const
Gcalc_heap
::
Info
*
i
)
{
GCALC_DBUG_ASSERT
(
i
->
type
==
Gcalc_heap
::
nt_intersection
);
calc_t
(
t_a
,
t_b
,
b1x
,
b1y
,
i
->
p1
,
i
->
p2
,
i
->
p3
,
i
->
p4
);
}
#endif
/*GCALC_CHECK_WITH_FLOAT*/
class
Gcalc_coord4
:
public
Gcalc_internal_coord
{
gcalc_digit_t
c
[
GCALC_COORD_BASE
*
4
];
public:
void
init
()
{
n_digits
=
GCALC_COORD_BASE
*
4
;
digits
=
c
;
}
};
class
Gcalc_coord5
:
public
Gcalc_internal_coord
{
gcalc_digit_t
c
[
GCALC_COORD_BASE
*
5
];
public:
void
init
()
{
n_digits
=
GCALC_COORD_BASE
*
5
;
digits
=
c
;
}
};
#ifdef TMP_BLOCK
static
void
calc_isc_exp
(
Gcalc_coord5
*
exp
,
const
Gcalc_coord2
*
bb2
,
const
Gcalc_coord1
*
ya1
,
const
Gcalc_coord2
*
bb1
,
const
Gcalc_coord1
*
yb1
,
const
Gcalc_coord2
*
a21_b1
)
{
Gcalc_coord3
p1
,
p2
,
sum
;
p1
.
init
();
p2
.
init
();
sum
.
init
();
exp
->
init
();
gcalc_mul_coord
(
&
p1
,
ya1
,
bb1
);
gcalc_mul_coord
(
&
p2
,
yb1
,
a21_b1
);
gcalc_add_coord
(
&
sum
,
&
p1
,
&
p2
);
gcalc_mul_coord
(
exp
,
bb2
,
&
sum
);
}
static
int
cmp_intersections
(
const
Gcalc_heap
::
Info
*
i1
,
const
Gcalc_heap
::
Info
*
i2
)
{
Gcalc_coord2
t_a1
,
t_b1
;
Gcalc_coord2
t_a2
,
t_b2
;
Gcalc_coord1
yb1
,
yb2
;
Gcalc_coord1
xb1
,
xb2
;
Gcalc_coord5
exp_a
,
exp_b
;
int
result
;
calc_t
(
&
t_a1
,
&
t_b1
,
&
xb1
,
&
yb1
,
i1
);
calc_t
(
&
t_a2
,
&
t_b2
,
&
xb2
,
&
yb2
,
i2
);
calc_isc_exp
(
&
exp_a
,
&
t_b2
,
&
i1
->
p1
->
iy
,
&
t_b1
,
&
yb1
,
&
t_a1
);
calc_isc_exp
(
&
exp_b
,
&
t_b1
,
&
i2
->
p1
->
iy
,
&
t_b2
,
&
yb2
,
&
t_a2
);
result
=
gcalc_cmp_coord
(
&
exp_a
,
&
exp_b
);
#ifdef GCALC_CHECK_WITH_FLOAT
long
double
x1
,
y1
,
x2
,
y2
;
i1
->
calc_xy_ld
(
&
x1
,
&
y1
);
i2
->
calc_xy_ld
(
&
x2
,
&
y2
);
if
(
result
==
0
)
GCALC_DBUG_ASSERT
(
de_check
(
y1
,
y2
));
if
(
result
<
0
)
GCALC_DBUG_ASSERT
(
de_check
(
y1
,
y2
)
||
y1
<
y2
);
if
(
result
>
0
)
GCALC_DBUG_ASSERT
(
de_check
(
y1
,
y2
)
||
y1
>
y2
);
#endif
/*GCALC_CHECK_WITH_FLOAT*/
if
(
result
!=
0
)
return
result
;
typedef
gcalc_digit_t
Gcalc_coord4
[
GCALC_COORD_BASE
*
4
];
typedef
gcalc_digit_t
Gcalc_coord5
[
GCALC_COORD_BASE
*
5
];
calc_isc_exp
(
&
exp_a
,
&
t_b2
,
&
i1
->
p1
->
ix
,
&
t_b1
,
&
xb1
,
&
t_a1
);
calc_isc_exp
(
&
exp_b
,
&
t_b1
,
&
i2
->
p1
->
ix
,
&
t_b2
,
&
xb2
,
&
t_a2
);
result
=
gcalc_cmp_coord
(
&
exp_a
,
&
exp_b
);
#ifdef GCALC_CHECK_WITH_FLOAT
if
(
result
==
0
)
GCALC_DBUG_ASSERT
(
de_check
(
x1
,
x2
));
if
(
result
<
0
)
GCALC_DBUG_ASSERT
(
de_check
(
x1
,
x2
)
||
x1
<
x2
);
if
(
result
>
0
)
GCALC_DBUG_ASSERT
(
de_check
(
x1
,
x2
)
||
x1
>
x2
);
#endif
/*GCALC_CHECK_WITH_FLOAT*/
return
result
;
}
#endif
/*TMP_BLOCK*/
void
Gcalc_scan_iterator
::
intersection_info
::
calc_t
()
void
Gcalc_scan_iterator
::
intersection_info
::
do_calc_t
()
{
if
(
t_calculated
)
return
;
Gcalc_coord1
a2_a1x
,
a2_a1y
;
Gcalc_coord2
x1y2
,
x2y1
;
t_a
.
init
();
t_b
.
init
();
a2_a1x
.
init
();
a2_a1y
.
init
();
x1y2
.
init
();
x2y1
.
init
();
gcalc_sub_coord1
(
a2_a1x
,
edge_b
->
pi
->
ix
,
edge_a
->
pi
->
ix
);
gcalc_sub_coord1
(
a2_a1y
,
edge_b
->
pi
->
iy
,
edge_a
->
pi
->
iy
);
gcalc_sub_coord
(
&
a2_a1x
,
&
edge_b
->
pi
->
ix
,
&
edge_a
->
pi
->
ix
);
gcalc_sub_coord
(
&
a2_a1y
,
&
edge_b
->
pi
->
iy
,
&
edge_a
->
pi
->
iy
);
GCALC_DBUG_ASSERT
(
!
gcalc_is_zero
(
edge_a
->
dy
,
GCALC_COORD_BASE
)
||
!
gcalc_is_zero
(
edge_b
->
dy
,
GCALC_COORD_BASE
)
);
GCALC_DBUG_ASSERT
(
!
edge_a
->
dy
.
is_zero
()
||
!
edge_b
->
dy
.
is_zero
());
gcalc_mul_coord1
(
x1y2
,
edge_a
->
dx
,
edge_b
->
dy
);
gcalc_mul_coord1
(
x2y1
,
edge_a
->
dy
,
edge_b
->
dx
);
gcalc_sub_coord
(
t_b
,
GCALC_COORD_BASE2
,
x1y2
,
x2y1
);
gcalc_mul_coord
(
&
x1y2
,
&
edge_a
->
dx
,
&
edge_b
->
dy
);
gcalc_mul_coord
(
&
x2y1
,
&
edge_a
->
dy
,
&
edge_b
->
dx
);
gcalc_sub_coord
(
&
t_b
,
&
x1y2
,
&
x2y1
);
gcalc_mul_coord
(
&
x1y2
,
&
a2_a1x
,
&
edge_b
->
dy
);
gcalc_mul_coord
(
&
x2y1
,
&
a2_a1y
,
&
edge_b
->
dx
);
gcalc_sub_coord
(
&
t_a
,
&
x1y2
,
&
x2y1
);
gcalc_mul_coord1
(
x1y2
,
a2_a1x
,
edge_b
->
dy
);
gcalc_mul_coord1
(
x2y1
,
a2_a1y
,
edge_b
->
dx
);
gcalc_sub_coord
(
t_a
,
GCALC_COORD_BASE2
,
x1y2
,
x2y1
);
t_calculated
=
1
;
}
void
Gcalc_scan_iterator
::
intersection_info
::
calc_y_exp
()
void
Gcalc_scan_iterator
::
intersection_info
::
do_calc_y
()
{
if
(
y_calculated
)
return
;
GCALC_DBUG_ASSERT
(
t_calculated
);
Gcalc_coord3
a_tb
,
b_ta
;
y_exp
.
init
();
a_tb
.
init
();
b_ta
.
init
();
gcalc_mul_coord
(
&
a_tb
,
&
t_b
,
&
edge_a
->
pi
->
iy
);
gcalc_mul_coord
(
&
b_ta
,
&
t_a
,
&
edge_a
->
dy
);
gcalc_mul_coord
(
a_tb
,
GCALC_COORD_BASE3
,
t_b
,
GCALC_COORD_BASE2
,
edge_a
->
pi
->
iy
,
GCALC_COORD_BASE
);
gcalc_mul_coord
(
b_ta
,
GCALC_COORD_BASE3
,
t_a
,
GCALC_COORD_BASE2
,
edge_a
->
dy
,
GCALC_COORD_BASE
);
gcalc_add_coord
(
&
y_exp
,
&
a_tb
,
&
b_ta
);
gcalc_add_coord
(
y_exp
,
GCALC_COORD_BASE3
,
a_tb
,
b_ta
);
y_calculated
=
1
;
}
void
Gcalc_scan_iterator
::
intersection_info
::
calc_x_exp
()
void
Gcalc_scan_iterator
::
intersection_info
::
do_calc_x
()
{
if
(
x_calculated
)
return
;
GCALC_DBUG_ASSERT
(
t_calculated
);
Gcalc_coord3
a_tb
,
b_ta
;
x_exp
.
init
();
a_tb
.
init
();
b_ta
.
init
();
gcalc_mul_coord
(
&
a_tb
,
&
t_b
,
&
edge_a
->
pi
->
ix
);
gcalc_mul_coord
(
&
b_ta
,
&
t_a
,
&
edge_a
->
dx
);
gcalc_mul_coord
(
a_tb
,
GCALC_COORD_BASE3
,
t_b
,
GCALC_COORD_BASE2
,
edge_a
->
pi
->
ix
,
GCALC_COORD_BASE
);
gcalc_mul_coord
(
b_ta
,
GCALC_COORD_BASE3
,
t_a
,
GCALC_COORD_BASE2
,
edge_a
->
dx
,
GCALC_COORD_BASE
);
gcalc_add_coord
(
&
x_exp
,
&
a_tb
,
&
b_ta
);
gcalc_add_coord
(
x_exp
,
GCALC_COORD_BASE3
,
a_tb
,
b_ta
);
x_calculated
=
1
;
}
...
...
@@ -784,39 +684,61 @@ static int cmp_node_isc(const Gcalc_heap::Info *node,
Gcalc_scan_iterator
::
intersection_info
*
inf
=
i_data
(
isc
);
Gcalc_coord3
exp
;
int
result
;
exp
.
init
();
inf
->
calc_t
();
inf
->
calc_y_exp
();
gcalc_mul_coord
(
&
exp
,
&
node
->
iy
,
&
inf
->
t_b
);
gcalc_mul_coord
(
exp
,
GCALC_COORD_BASE3
,
inf
->
t_b
,
GCALC_COORD_BASE2
,
node
->
iy
,
GCALC_COORD_BASE
);
result
=
gcalc_cmp_coord
(
&
exp
,
&
inf
->
y_exp
);
result
=
gcalc_cmp_coord
(
exp
,
inf
->
y_exp
,
GCALC_COORD_BASE3
);
#ifdef GCALC_CHECK_WITH_FLOAT
long
double
int_x
,
int_y
;
isc
->
calc_xy_ld
(
&
int_x
,
&
int_y
);
if
(
result
<
0
)
GCALC_DBUG_ASSERT
(
de_check
(
int_y
,
node
->
y
)
||
node
->
y
<
int_y
);
{
if
(
!
de_check
(
int_y
,
node
->
y
)
&&
node
->
y
>
int_y
)
GCALC_DBUG_PRINT
((
"floatcheck cmp_nod_iscy %g < %LG"
,
node
->
y
,
int_y
));
}
else
if
(
result
>
0
)
GCALC_DBUG_ASSERT
(
de_check
(
int_y
,
node
->
y
)
||
node
->
y
>
int_y
);
{
if
(
!
de_check
(
int_y
,
node
->
y
)
&&
node
->
y
<
int_y
)
GCALC_DBUG_PRINT
((
"floatcheck cmp_nod_iscy %g > %LG"
,
node
->
y
,
int_y
));
}
else
GCALC_DBUG_ASSERT
(
de_check
(
int_y
,
node
->
y
));
{
if
(
!
de_check
(
int_y
,
node
->
y
))
GCALC_DBUG_PRINT
((
"floatcheck cmp_nod_iscy %g == %LG"
,
node
->
y
,
int_y
));
}
#endif
/*GCALC_CHECK_WITH_FLOAT*/
if
(
result
)
goto
exit
;
inf
->
calc_x_exp
();
gcalc_mul_coord
(
&
exp
,
&
node
->
ix
,
&
inf
->
t_b
);
gcalc_mul_coord
(
exp
,
GCALC_COORD_BASE3
,
inf
->
t_b
,
GCALC_COORD_BASE2
,
node
->
ix
,
GCALC_COORD_BASE
);
result
=
gcalc_cmp_coord
(
&
exp
,
&
inf
->
x_exp
);
result
=
gcalc_cmp_coord
(
exp
,
inf
->
x_exp
,
GCALC_COORD_BASE3
);
#ifdef GCALC_CHECK_WITH_FLOAT
if
(
result
<
0
)
GCALC_DBUG_ASSERT
(
de_check
(
int_x
,
node
->
x
)
||
node
->
x
<
int_x
);
{
if
(
!
de_check
(
int_x
,
node
->
x
)
&&
node
->
x
>
int_x
)
GCALC_DBUG_PRINT
((
"floatcheck cmp_nod_iscx failed %g < %LG"
,
node
->
x
,
int_x
));
}
else
if
(
result
>
0
)
GCALC_DBUG_ASSERT
(
de_check
(
int_x
,
node
->
x
)
||
node
->
x
>
int_x
);
{
if
(
!
de_check
(
int_x
,
node
->
x
)
&&
node
->
x
<
int_x
)
GCALC_DBUG_PRINT
((
"floatcheck cmp_nod_iscx failed %g > %LG"
,
node
->
x
,
int_x
));
}
else
GCALC_DBUG_ASSERT
(
de_check
(
int_x
,
node
->
x
));
{
if
(
!
de_check
(
int_x
,
node
->
x
))
GCALC_DBUG_PRINT
((
"floatcheck cmp_nod_iscx failed %g == %LG"
,
node
->
x
,
int_x
));
}
#endif
/*GCALC_CHECK_WITH_FLOAT*/
exit:
return
result
;
...
...
@@ -837,23 +759,35 @@ static int cmp_intersections(const Gcalc_heap::Info *i1,
inf1
->
calc_y_exp
();
inf2
->
calc_y_exp
();
exp_a
.
init
();
exp_b
.
init
(
);
gcalc_mul_coord
(
&
exp_a
,
&
inf1
->
y_exp
,
&
inf2
->
t_b
);
gcalc_mul_coord
(
&
exp_b
,
&
inf2
->
y_exp
,
&
inf1
->
t_b
);
gcalc_mul_coord
(
exp_a
,
GCALC_COORD_BASE5
,
inf1
->
y_exp
,
GCALC_COORD_BASE3
,
inf2
->
t_b
,
GCALC_COORD_BASE2
);
gcalc_mul_coord
(
exp_b
,
GCALC_COORD_BASE5
,
inf2
->
y_exp
,
GCALC_COORD_BASE3
,
inf1
->
t_b
,
GCALC_COORD_BASE2
);
result
=
gcalc_cmp_coord
(
&
exp_a
,
&
exp_b
);
result
=
gcalc_cmp_coord
(
exp_a
,
exp_b
,
GCALC_COORD_BASE5
);
#ifdef GCALC_CHECK_WITH_FLOAT
long
double
x1
,
y1
,
x2
,
y2
;
i1
->
calc_xy_ld
(
&
x1
,
&
y1
);
i2
->
calc_xy_ld
(
&
x2
,
&
y2
);
if
(
result
==
0
)
GCALC_DBUG_ASSERT
(
de_check
(
y1
,
y2
));
if
(
result
<
0
)
GCALC_DBUG_ASSERT
(
de_check
(
y1
,
y2
)
||
y1
<
y2
);
if
(
result
>
0
)
GCALC_DBUG_ASSERT
(
de_check
(
y1
,
y2
)
||
y1
>
y2
);
{
if
(
!
de_check
(
y1
,
y2
)
&&
y2
>
y1
)
GCALC_DBUG_PRINT
((
"floatcheck cmp_intersections_y failed %LG < %LG"
,
y2
,
y1
));
}
else
if
(
result
>
0
)
{
if
(
!
de_check
(
y1
,
y2
)
&&
y2
<
y1
)
GCALC_DBUG_PRINT
((
"floatcheck cmp_intersections_y failed %LG > %LG"
,
y2
,
y1
));
}
else
{
if
(
!
de_check
(
y1
,
y2
))
GCALC_DBUG_PRINT
((
"floatcheck cmp_intersections_y failed %LG == %LG"
,
y2
,
y1
));
}
#endif
/*GCALC_CHECK_WITH_FLOAT*/
if
(
result
!=
0
)
...
...
@@ -862,17 +796,31 @@ static int cmp_intersections(const Gcalc_heap::Info *i1,
inf1
->
calc_x_exp
();
inf2
->
calc_x_exp
();
gcalc_mul_coord
(
&
exp_a
,
&
inf1
->
x_exp
,
&
inf2
->
t_b
);
gcalc_mul_coord
(
&
exp_b
,
&
inf2
->
x_exp
,
&
inf1
->
t_b
);
gcalc_mul_coord
(
exp_a
,
GCALC_COORD_BASE5
,
inf1
->
x_exp
,
GCALC_COORD_BASE3
,
inf2
->
t_b
,
GCALC_COORD_BASE2
);
gcalc_mul_coord
(
exp_b
,
GCALC_COORD_BASE5
,
inf2
->
x_exp
,
GCALC_COORD_BASE3
,
inf1
->
t_b
,
GCALC_COORD_BASE2
);
result
=
gcalc_cmp_coord
(
&
exp_a
,
&
exp_b
);
result
=
gcalc_cmp_coord
(
exp_a
,
exp_b
,
GCALC_COORD_BASE5
);
#ifdef GCALC_CHECK_WITH_FLOAT
if
(
result
==
0
)
GCALC_DBUG_ASSERT
(
de_check
(
x1
,
x2
));
if
(
result
<
0
)
GCALC_DBUG_ASSERT
(
de_check
(
x1
,
x2
)
||
x1
<
x2
);
if
(
result
>
0
)
GCALC_DBUG_ASSERT
(
de_check
(
x1
,
x2
)
||
x1
>
x2
);
{
if
(
!
de_check
(
x1
,
x2
)
&&
x2
>
x1
)
GCALC_DBUG_PRINT
((
"floatcheck cmp_intersectionsx failed %LG < %LG"
,
x2
,
x1
));
}
else
if
(
result
>
0
)
{
if
(
!
de_check
(
x1
,
x2
)
&&
x2
<
x1
)
GCALC_DBUG_PRINT
((
"floatcheck cmp_intersectionsx failed %LG > %LG"
,
x2
,
x1
));
}
else
{
if
(
!
de_check
(
x1
,
x2
))
GCALC_DBUG_PRINT
((
"floatcheck cmp_intersectionsx failed %LG == %LG"
,
x2
,
x1
));
}
#endif
/*GCALC_CHECK_WITH_FLOAT*/
return
result
;
}
...
...
@@ -959,43 +907,26 @@ void Gcalc_heap::Info::calc_xy(double *x, double *y) const
#ifdef GCALC_CHECK_WITH_FLOAT
void
Gcalc_heap
::
Info
::
calc_xy_ld
(
long
double
*
x
,
long
double
*
y
)
const
{
long
double
b0_x
=
p2
->
x
-
p1
->
x
;
long
double
b0_y
=
p2
->
y
-
p1
->
y
;
long
double
b1_x
=
p4
->
x
-
p3
->
x
;
long
double
b1_y
=
p4
->
y
-
p3
->
y
;
long
double
b0_x
=
((
long
double
)
p2
->
x
)
-
p1
->
x
;
long
double
b0_y
=
((
long
double
)
p2
->
y
)
-
p1
->
y
;
long
double
b1_x
=
((
long
double
)
p4
->
x
)
-
p3
->
x
;
long
double
b1_y
=
((
long
double
)
p4
->
y
)
-
p3
->
y
;
long
double
b0xb1
=
b0_x
*
b1_y
-
b0_y
*
b1_x
;
long
double
t
=
(
p3
->
x
-
p1
->
x
)
*
b1_y
-
(
p3
->
y
-
p1
->
y
)
*
b1_x
;
long
double
cx
,
cy
;
t
/=
b0xb1
;
long
double
ax
=
((
long
double
)
p3
->
x
)
-
p1
->
x
;
long
double
ay
=
((
long
double
)
p3
->
y
)
-
p1
->
y
;
long
double
t_a
=
ax
*
b1_y
-
ay
*
b1_x
;
long
double
hx
=
(
b0xb1
*
(
long
double
)
p1
->
x
+
b0_x
*
t_a
);
long
double
hy
=
(
b0xb1
*
(
long
double
)
p1
->
y
+
b0_y
*
t_a
);
cx
=
(
long
double
)
p1
->
x
+
b0_x
*
t
;
cy
=
(
long
double
)
p1
->
y
+
b0_y
*
t
;
Gcalc_coord2
t_a
,
t_b
;
Gcalc_coord1
yb
,
xb
;
Gcalc_coord3
m1
,
m2
,
sum
;
calc_t
(
&
t_a
,
&
t_b
,
&
xb
,
&
yb
,
this
);
if
(
t_b
.
is_zero
())
if
(
fabs
(
b0xb1
)
<
1e-15
)
{
*
x
=
p1
->
x
;
*
y
=
p1
->
y
;
return
;
}
m1
.
init
();
m2
.
init
();
sum
.
init
();
gcalc_mul_coord
(
&
m1
,
&
p1
->
ix
,
&
t_b
);
gcalc_mul_coord
(
&
m2
,
&
xb
,
&
t_a
);
gcalc_add_coord
(
&
sum
,
&
m1
,
&
m2
);
*
x
=
sum
.
get_double
()
/
t_b
.
get_double
();
gcalc_mul_coord
(
&
m1
,
&
p1
->
iy
,
&
t_b
);
gcalc_mul_coord
(
&
m2
,
&
yb
,
&
t_a
);
gcalc_add_coord
(
&
sum
,
&
m1
,
&
m2
);
*
y
=
sum
.
get_double
()
/
t_b
.
get_double
();
*
x
=
hx
/
b0xb1
;
*
y
=
hy
/
b0xb1
;
}
#endif
/*GCALC_CHECK_WITH_FLOAT*/
...
...
@@ -1003,10 +934,10 @@ void Gcalc_heap::Info::calc_xy_ld(long double *x, long double *y) const
static
int
cmp_point_info
(
const
Gcalc_heap
::
Info
*
i0
,
const
Gcalc_heap
::
Info
*
i1
)
{
int
cmp_y
=
gcalc_cmp_coord
(
&
i0
->
iy
,
&
i1
->
iy
);
int
cmp_y
=
gcalc_cmp_coord
1
(
i0
->
iy
,
i1
->
iy
);
if
(
cmp_y
)
return
cmp_y
;
return
gcalc_cmp_coord
(
&
i0
->
ix
,
&
i1
->
ix
);
return
gcalc_cmp_coord
1
(
i0
->
ix
,
i1
->
ix
);
}
...
...
@@ -1048,14 +979,14 @@ void Gcalc_heap::prepare_operation()
GCALC_DBUG_ASSERT
(
m_hook
);
coord_extent
=
find_scale
(
coord_extent
);
#ifdef GCALC_CHECK_WITH_FLOAT
Gcalc_internal_coord
::
coord_extent
=
&
coord_extent
;
gcalc_
coord_extent
=
&
coord_extent
;
#endif
/*GCALC_CHECK_WITH_FLOAT*/
*
m_hook
=
NULL
;
m_hook
=
NULL
;
/* just to check it's not called twice */
for
(
cur
=
get_first
();
cur
;
cur
=
cur
->
get_next
())
{
cur
->
ix
.
set_double
(
cur
->
x
,
coord_extent
);
cur
->
iy
.
set_double
(
cur
->
y
,
coord_extent
);
gcalc_set_double
(
cur
->
ix
,
cur
->
x
,
coord_extent
);
gcalc_set_double
(
cur
->
iy
,
cur
->
y
,
coord_extent
);
}
m_first
=
sort_list
(
compare_point_info
,
m_first
,
m_n_points
);
...
...
@@ -1153,9 +1084,9 @@ void Gcalc_shape_transporter::int_complete()
inline
void
calc_dx_dy
(
Gcalc_scan_iterator
::
point
*
p
)
{
gcalc_sub_coord
(
&
p
->
dx
,
&
p
->
next_pi
->
ix
,
&
p
->
pi
->
ix
);
gcalc_sub_coord
(
&
p
->
dy
,
&
p
->
next_pi
->
iy
,
&
p
->
pi
->
iy
);
if
(
p
->
dx
.
sign
)
gcalc_sub_coord
1
(
p
->
dx
,
p
->
next_pi
->
ix
,
p
->
pi
->
ix
);
gcalc_sub_coord
1
(
p
->
dy
,
p
->
next_pi
->
iy
,
p
->
pi
->
iy
);
if
(
GCALC_SIGN
(
p
->
dx
[
0
])
)
{
p
->
l_border
=
&
p
->
next_pi
->
ix
;
p
->
r_border
=
&
p
->
pi
->
ix
;
...
...
@@ -1203,19 +1134,17 @@ void Gcalc_scan_iterator::reset()
}
int
Gcalc_scan_iterator
::
point
::
cmp_dx_dy
(
const
Gcalc_coord1
*
dx_a
,
const
Gcalc_coord1
*
dy_a
,
const
Gcalc_coord1
*
dx_b
,
const
Gcalc_coord1
*
dy_b
)
int
Gcalc_scan_iterator
::
point
::
cmp_dx_dy
(
const
Gcalc_coord1
dx_a
,
const
Gcalc_coord1
dy_a
,
const
Gcalc_coord1
dx_b
,
const
Gcalc_coord1
dy_b
)
{
Gcalc_coord2
dx_a_dy_b
;
Gcalc_coord2
dy_a_dx_b
;
dx_a_dy_b
.
init
();
dy_a_dx_b
.
init
();
gcalc_mul_coord
(
&
dx_a_dy_b
,
dx_a
,
dy_b
);
gcalc_mul_coord
(
&
dy_a_dx_b
,
dy_a
,
dx_b
);
gcalc_mul_coord1
(
dx_a_dy_b
,
dx_a
,
dy_b
);
gcalc_mul_coord1
(
dy_a_dx_b
,
dy_a
,
dx_b
);
return
gcalc_cmp_coord
(
&
dx_a_dy_b
,
&
dy_a_dx_b
);
return
gcalc_cmp_coord
(
dx_a_dy_b
,
dy_a_dx_b
,
GCALC_COORD_BASE2
);
}
...
...
@@ -1225,22 +1154,18 @@ int Gcalc_scan_iterator::point::cmp_dx_dy(const Gcalc_heap::Info *p1,
const
Gcalc_heap
::
Info
*
p4
)
{
Gcalc_coord1
dx_a
,
dy_a
,
dx_b
,
dy_b
;
dx_a
.
init
();
dx_b
.
init
();
dy_a
.
init
();
dy_b
.
init
();
gcalc_sub_coord
(
&
dx_a
,
&
p2
->
ix
,
&
p1
->
ix
);
gcalc_sub_coord
(
&
dy_a
,
&
p2
->
iy
,
&
p1
->
iy
);
gcalc_sub_coord
(
&
dx_b
,
&
p4
->
ix
,
&
p3
->
ix
);
gcalc_sub_coord
(
&
dy_b
,
&
p4
->
iy
,
&
p3
->
iy
);
return
cmp_dx_dy
(
&
dx_a
,
&
dy_a
,
&
dx_b
,
&
dy_b
);
gcalc_sub_coord1
(
dx_a
,
p2
->
ix
,
p1
->
ix
);
gcalc_sub_coord1
(
dy_a
,
p2
->
iy
,
p1
->
iy
);
gcalc_sub_coord1
(
dx_b
,
p4
->
ix
,
p3
->
ix
);
gcalc_sub_coord1
(
dy_b
,
p4
->
iy
,
p3
->
iy
);
return
cmp_dx_dy
(
dx_a
,
dy_a
,
dx_b
,
dy_b
);
}
int
Gcalc_scan_iterator
::
point
::
cmp_dx_dy
(
const
point
*
p
)
const
{
GCALC_DBUG_ASSERT
(
!
is_bottom
());
return
cmp_dx_dy
(
&
dx
,
&
dy
,
&
p
->
dx
,
&
p
->
dy
);
return
cmp_dx_dy
(
dx
,
dy
,
p
->
dx
,
p
->
dy
);
}
...
...
@@ -1248,13 +1173,14 @@ int Gcalc_scan_iterator::point::cmp_dx_dy(const point *p) const
void
Gcalc_scan_iterator
::
point
::
calc_x
(
long
double
*
x
,
long
double
y
,
long
double
ix
)
const
{
long
double
ddy
=
dy
.
get_double
(
);
long
double
ddy
=
gcalc_get_double
(
dy
,
GCALC_COORD_BASE
);
if
(
fabsl
(
ddy
)
<
(
long
double
)
1e-20
)
{
*
x
=
ix
;
}
else
*
x
=
(
ddy
*
(
long
double
)
pi
->
x
+
dx
.
get_double
()
*
(
y
-
pi
->
y
))
/
ddy
;
*
x
=
(
ddy
*
(
long
double
)
pi
->
x
+
gcalc_get_double
(
dx
,
GCALC_COORD_BASE
)
*
(
y
-
pi
->
y
))
/
ddy
;
}
#endif
/*GCALC_CHECK_WITH_FLOAT*/
...
...
@@ -1457,20 +1383,35 @@ static int node_on_right(const Gcalc_heap::Info *node,
Gcalc_coord1
a_x
,
a_y
;
Gcalc_coord1
b_x
,
b_y
;
Gcalc_coord2
ax_by
,
ay_bx
;
a_x
.
init
();
a_y
.
init
();
b_x
.
init
();
b_y
.
init
();
ax_by
.
init
();
ay_bx
.
init
();
int
result
;
gcalc_sub_coord
(
&
a_x
,
&
node
->
ix
,
&
edge_a
->
ix
);
gcalc_sub_coord
(
&
a_y
,
&
node
->
iy
,
&
edge_a
->
iy
);
gcalc_sub_coord
(
&
b_x
,
&
edge_b
->
ix
,
&
edge_a
->
ix
);
gcalc_sub_coord
(
&
b_y
,
&
edge_b
->
iy
,
&
edge_a
->
iy
);
gcalc_mul_coord
(
&
ax_by
,
&
a_x
,
&
b_y
);
gcalc_mul_coord
(
&
ay_bx
,
&
a_y
,
&
b_x
);
return
gcalc_cmp_coord
(
&
ax_by
,
&
ay_bx
);
gcalc_sub_coord1
(
a_x
,
node
->
ix
,
edge_a
->
ix
);
gcalc_sub_coord1
(
a_y
,
node
->
iy
,
edge_a
->
iy
);
gcalc_sub_coord1
(
b_x
,
edge_b
->
ix
,
edge_a
->
ix
);
gcalc_sub_coord1
(
b_y
,
edge_b
->
iy
,
edge_a
->
iy
);
gcalc_mul_coord1
(
ax_by
,
a_x
,
b_y
);
gcalc_mul_coord1
(
ay_bx
,
a_y
,
b_x
);
result
=
gcalc_cmp_coord
(
ax_by
,
ay_bx
,
GCALC_COORD_BASE2
);
#ifdef GCALC_CHECK_WITH_FLOAT
{
long
double
dx
=
gcalc_get_double
(
edge_b
->
ix
,
GCALC_COORD_BASE
)
-
gcalc_get_double
(
edge_a
->
ix
,
GCALC_COORD_BASE
);
long
double
dy
=
gcalc_get_double
(
edge_b
->
iy
,
GCALC_COORD_BASE
)
-
gcalc_get_double
(
edge_a
->
iy
,
GCALC_COORD_BASE
);
long
double
ax
=
gcalc_get_double
(
node
->
ix
,
GCALC_COORD_BASE
)
-
gcalc_get_double
(
edge_a
->
ix
,
GCALC_COORD_BASE
);
long
double
ay
=
gcalc_get_double
(
node
->
iy
,
GCALC_COORD_BASE
)
-
gcalc_get_double
(
edge_a
->
iy
,
GCALC_COORD_BASE
);
long
double
d
=
ax
*
dy
-
ay
*
dx
;
if
(
result
==
0
)
GCALC_DBUG_ASSERT
(
de_check
(
d
,
0.0
));
else
if
(
result
<
0
)
GCALC_DBUG_ASSERT
(
de_check
(
d
,
0.0
)
||
d
<
0
);
else
GCALC_DBUG_ASSERT
(
de_check
(
d
,
0.0
)
||
d
>
0
);
}
#endif
/*GCALC_CHECK_WITH_FLOAT*/
return
result
;
}
...
...
@@ -1479,8 +1420,8 @@ static int cmp_tops(const Gcalc_heap::Info *top_node,
{
int
cmp_res_a
,
cmp_res_b
;
cmp_res_a
=
gcalc_cmp_coord1
(
&
edge_a
->
ix
,
&
top_node
->
ix
);
cmp_res_b
=
gcalc_cmp_coord1
(
&
edge_b
->
ix
,
&
top_node
->
ix
);
cmp_res_a
=
gcalc_cmp_coord1
(
edge_a
->
ix
,
top_node
->
ix
);
cmp_res_b
=
gcalc_cmp_coord1
(
edge_b
->
ix
,
top_node
->
ix
);
if
(
cmp_res_a
<=
0
&&
cmp_res_b
>
0
)
return
-
1
;
...
...
@@ -1534,7 +1475,7 @@ int Gcalc_scan_iterator::insert_top_node()
else
if
(
cmp_res
==
0
)
{
/* Exactly same direction of the edges. */
cmp_res
=
gcalc_cmp_coord1
(
&
m_cur_pi
->
left
->
iy
,
&
m_cur_pi
->
right
->
iy
);
cmp_res
=
gcalc_cmp_coord1
(
m_cur_pi
->
left
->
iy
,
m_cur_pi
->
right
->
iy
);
if
(
cmp_res
!=
0
)
{
if
(
cmp_res
<
0
)
...
...
@@ -1550,7 +1491,7 @@ int Gcalc_scan_iterator::insert_top_node()
}
else
{
cmp_res
=
gcalc_cmp_coord1
(
&
m_cur_pi
->
left
->
ix
,
&
m_cur_pi
->
right
->
ix
);
cmp_res
=
gcalc_cmp_coord1
(
m_cur_pi
->
left
->
ix
,
m_cur_pi
->
right
->
ix
);
if
(
cmp_res
!=
0
)
{
if
(
cmp_res
<
0
)
...
...
@@ -1584,7 +1525,7 @@ int Gcalc_scan_iterator::insert_top_node()
/* We need to find the place to insert. */
for
(;
sp
;
prev_hook
=
sp
->
next_ptr
(),
sp
=
sp
->
get_next
())
{
if
(
sp
->
event
||
gcalc_cmp_coord
(
sp
->
r_border
,
&
m_cur_pi
->
ix
)
<
0
)
if
(
sp
->
event
||
gcalc_cmp_coord
1
(
*
sp
->
r_border
,
m_cur_pi
->
ix
)
<
0
)
continue
;
cmp_res
=
node_on_right
(
m_cur_pi
,
sp
->
pi
,
sp
->
next_pi
);
if
(
cmp_res
==
0
)
...
...
@@ -1683,7 +1624,7 @@ int Gcalc_scan_iterator::add_events_for_node(point *sp_node)
GCALC_DBUG_ASSERT
(
!
sp
->
is_bottom
());
GCALC_DBUG_PRINT
((
"left cut_edge %d"
,
sp
->
thread
));
if
(
sp
->
next_pi
==
sp_node
->
next_pi
||
gcalc_cmp_coord1
(
sp
->
r_border
,
sp_node
->
l_border
)
<
0
)
gcalc_cmp_coord1
(
*
sp
->
r_border
,
*
sp_node
->
l_border
)
<
0
)
continue
;
sp_pi_r
=
node_on_right
(
sp
->
next_pi
,
sp_node
->
pi
,
sp_node
->
next_pi
);
if
(
sp_pi_r
<
0
)
...
...
@@ -1743,7 +1684,7 @@ int Gcalc_scan_iterator::add_events_for_node(point *sp_node)
GCALC_DBUG_ASSERT
(
!
sp
->
is_bottom
());
GCALC_DBUG_PRINT
((
"right cut_edge %d"
,
sp
->
thread
));
if
(
sp
->
next_pi
==
sp_node
->
next_pi
||
gcalc_cmp_coord1
(
sp_node
->
r_border
,
sp
->
l_border
)
<
0
)
gcalc_cmp_coord1
(
*
sp_node
->
r_border
,
*
sp
->
l_border
)
<
0
)
continue
;
sp_pi_r
=
node_on_right
(
sp
->
next_pi
,
sp_node
->
pi
,
sp_node
->
next_pi
);
if
(
sp_pi_r
>
0
)
...
...
@@ -1942,13 +1883,54 @@ int Gcalc_scan_iterator::add_eq_node(Gcalc_heap::Info *node, point *sp)
}
void
calc_t
(
Gcalc_coord2
t_a
,
Gcalc_coord2
t_b
,
Gcalc_coord1
dxa
,
Gcalc_coord1
dxb
,
const
Gcalc_heap
::
Info
*
p1
,
const
Gcalc_heap
::
Info
*
p2
,
const
Gcalc_heap
::
Info
*
p3
,
const
Gcalc_heap
::
Info
*
p4
)
{
Gcalc_coord1
a2_a1x
,
a2_a1y
;
Gcalc_coord2
x1y2
,
x2y1
;
Gcalc_coord1
dya
,
dyb
;
gcalc_sub_coord1
(
a2_a1x
,
p3
->
ix
,
p1
->
ix
);
gcalc_sub_coord1
(
a2_a1y
,
p3
->
iy
,
p1
->
iy
);
gcalc_sub_coord1
(
dxa
,
p2
->
ix
,
p1
->
ix
);
gcalc_sub_coord1
(
dya
,
p2
->
iy
,
p1
->
iy
);
gcalc_sub_coord1
(
dxb
,
p4
->
ix
,
p3
->
ix
);
gcalc_sub_coord1
(
dyb
,
p4
->
iy
,
p3
->
iy
);
gcalc_mul_coord1
(
x1y2
,
dxa
,
dyb
);
gcalc_mul_coord1
(
x2y1
,
dya
,
dxb
);
gcalc_sub_coord
(
t_b
,
GCALC_COORD_BASE2
,
x1y2
,
x2y1
);
gcalc_mul_coord1
(
x1y2
,
a2_a1x
,
dyb
);
gcalc_mul_coord1
(
x2y1
,
a2_a1y
,
dxb
);
gcalc_sub_coord
(
t_a
,
GCALC_COORD_BASE2
,
x1y2
,
x2y1
);
}
double
Gcalc_scan_iterator
::
get_y
()
const
{
if
(
state
.
pi
->
type
==
Gcalc_heap
::
nt_intersection
)
{
double
x
,
y
;
state
.
pi
->
calc_xy
(
&
x
,
&
y
);
return
y
;
Gcalc_coord1
dxa
,
dya
;
Gcalc_coord2
t_a
,
t_b
;
Gcalc_coord3
a_tb
,
b_ta
,
y_exp
;
calc_t
(
t_a
,
t_b
,
dxa
,
dya
,
state
.
pi
->
p1
,
state
.
pi
->
p2
,
state
.
pi
->
p3
,
state
.
pi
->
p4
);
gcalc_mul_coord
(
a_tb
,
GCALC_COORD_BASE3
,
t_b
,
GCALC_COORD_BASE2
,
state
.
pi
->
p1
->
iy
,
GCALC_COORD_BASE
);
gcalc_mul_coord
(
b_ta
,
GCALC_COORD_BASE3
,
t_a
,
GCALC_COORD_BASE2
,
dya
,
GCALC_COORD_BASE
);
gcalc_add_coord
(
y_exp
,
GCALC_COORD_BASE3
,
a_tb
,
b_ta
);
return
(
get_pure_double
(
y_exp
,
GCALC_COORD_BASE3
)
/
get_pure_double
(
t_b
,
GCALC_COORD_BASE2
))
/
m_heap
->
coord_extent
;
}
else
return
state
.
pi
->
y
;
...
...
@@ -1959,9 +1941,22 @@ double Gcalc_scan_iterator::get_event_x() const
{
if
(
state
.
pi
->
type
==
Gcalc_heap
::
nt_intersection
)
{
double
x
,
y
;
state
.
pi
->
calc_xy
(
&
x
,
&
y
);
return
x
;
Gcalc_coord1
dxa
,
dya
;
Gcalc_coord2
t_a
,
t_b
;
Gcalc_coord3
a_tb
,
b_ta
,
x_exp
;
calc_t
(
t_a
,
t_b
,
dxa
,
dya
,
state
.
pi
->
p1
,
state
.
pi
->
p2
,
state
.
pi
->
p3
,
state
.
pi
->
p4
);
gcalc_mul_coord
(
a_tb
,
GCALC_COORD_BASE3
,
t_b
,
GCALC_COORD_BASE2
,
state
.
pi
->
p1
->
ix
,
GCALC_COORD_BASE
);
gcalc_mul_coord
(
b_ta
,
GCALC_COORD_BASE3
,
t_a
,
GCALC_COORD_BASE2
,
dxa
,
GCALC_COORD_BASE
);
gcalc_add_coord
(
x_exp
,
GCALC_COORD_BASE3
,
a_tb
,
b_ta
);
return
(
get_pure_double
(
x_exp
,
GCALC_COORD_BASE3
)
/
get_pure_double
(
t_b
,
GCALC_COORD_BASE2
))
/
m_heap
->
coord_extent
;
}
else
return
state
.
pi
->
x
;
...
...
@@ -1994,4 +1989,21 @@ double Gcalc_scan_iterator::get_sp_x(const point *sp) const
}
double
Gcalc_scan_iterator
::
get_pure_double
(
const
Gcalc_internal_coord
*
d
,
int
d_len
)
{
int
n
=
1
;
long
double
res
=
(
long
double
)
FIRST_DIGIT
(
d
[
0
]);
do
{
res
*=
(
long
double
)
GCALC_DIG_BASE
;
res
+=
(
long
double
)
d
[
n
];
}
while
(
++
n
<
d_len
);
if
(
GCALC_SIGN
(
d
[
0
]))
res
*=
-
1.0
;
return
res
;
}
#endif
/* HAVE_SPATIAL */
sql/gcalc_slicescan.h
View file @
248f2da6
...
...
@@ -114,78 +114,34 @@ protected:
/* Internal Gcalc coordinates to provide the precise calculations */
#define GCALC_DIG_BASE 1000000000
typedef
int32
gcalc_digit_t
;
typedef
long
long
gcalc_coord2
;
typedef
u
int32
gcalc_digit_t
;
typedef
unsigned
long
long
gcalc_coord2
;
typedef
gcalc_digit_t
Gcalc_internal_coord
;
#define GCALC_COORD_BASE 2
#define GCALC_COORD_BASE2 4
#define GCALC_COORD_BASE3 6
#define GCALC_COORD_BASE4 8
#define GCALC_COORD_BASE5 10
class
Gcalc_internal_coord
{
public:
gcalc_digit_t
*
digits
;
int
sign
;
int
n_digits
;
void
set_zero
();
int
is_zero
()
const
;
#ifdef GCALC_CHECK_WITH_FLOAT
static
double
*
coord_extent
;
long
double
get_double
()
const
;
#endif
/*GCALC_CHECK_WITH_FLOAT*/
};
typedef
gcalc_digit_t
Gcalc_coord1
[
GCALC_COORD_BASE
];
typedef
gcalc_digit_t
Gcalc_coord2
[
GCALC_COORD_BASE
*
2
];
typedef
gcalc_digit_t
Gcalc_coord3
[
GCALC_COORD_BASE
*
3
];
class
Gcalc_coord1
:
public
Gcalc_internal_coord
{
gcalc_digit_t
c
[
GCALC_COORD_BASE
];
public:
void
init
()
{
n_digits
=
GCALC_COORD_BASE
;
digits
=
c
;
}
int
set_double
(
double
d
,
double
ext
);
void
copy
(
const
Gcalc_coord1
*
from
);
};
void
gcalc_mul_coord
(
Gcalc_internal_coord
*
result
,
int
result_len
,
const
Gcalc_internal_coord
*
a
,
int
a_len
,
const
Gcalc_internal_coord
*
b
,
int
b_len
);
class
Gcalc_coord2
:
public
Gcalc_internal_coord
{
gcalc_digit_t
c
[
GCALC_COORD_BASE
*
2
];
public:
void
init
()
{
n_digits
=
GCALC_COORD_BASE
*
2
;
digits
=
c
;
}
};
class
Gcalc_coord3
:
public
Gcalc_internal_coord
{
gcalc_digit_t
c
[
GCALC_COORD_BASE
*
3
];
public:
void
init
()
{
n_digits
=
GCALC_COORD_BASE
*
3
;
digits
=
c
;
}
};
void
gcalc_mul_coord
(
Gcalc_internal_coord
*
result
,
void
gcalc_add_coord
(
Gcalc_internal_coord
*
result
,
int
result_len
,
const
Gcalc_internal_coord
*
a
,
const
Gcalc_internal_coord
*
b
);
void
gcalc_add_coord
(
Gcalc_internal_coord
*
result
,
const
Gcalc_internal_coord
*
a
,
const
Gcalc_internal_coord
*
b
);
void
gcalc_sub_coord
(
Gcalc_internal_coord
*
result
,
void
gcalc_sub_coord
(
Gcalc_internal_coord
*
result
,
int
result_len
,
const
Gcalc_internal_coord
*
a
,
const
Gcalc_internal_coord
*
b
);
int
gcalc_cmp_coord
(
const
Gcalc_internal_coord
*
a
,
const
Gcalc_internal_coord
*
b
);
const
Gcalc_internal_coord
*
b
,
int
len
);
/* Internal coordinates declarations end. */
...
...
@@ -280,11 +236,11 @@ public:
#ifdef GCALC_CHECK_WITH_FLOAT
long
double
get_double
(
const
Gcalc_internal_coord
*
c
)
const
;
#endif
/*GCALC_CHECK_WITH_FLOAT*/
double
coord_extent
;
private
:
Gcalc_dyn_list
::
Item
*
m_first
;
Gcalc_dyn_list
::
Item
**
m_hook
;
int
m_n_points
;
double
coord_extent
;
}
;
...
...
@@ -422,10 +378,10 @@ public:
inline
const
point
*
get_next
()
const
{
return
(
const
point
*
)
next
;
}
/* Compare the dx_dy parameters regarding the horiz_dir */
/* returns -1 if less, 0 if equal, 1 if bigger */
static
int
cmp_dx_dy
(
const
Gcalc_coord1
*
dx_a
,
const
Gcalc_coord1
*
dy_a
,
const
Gcalc_coord1
*
dx_b
,
const
Gcalc_coord1
*
dy_b
);
static
int
cmp_dx_dy
(
const
Gcalc_coord1
dx_a
,
const
Gcalc_coord1
dy_a
,
const
Gcalc_coord1
dx_b
,
const
Gcalc_coord1
dy_b
);
static
int
cmp_dx_dy
(
const
Gcalc_heap
::
Info
*
p1
,
const
Gcalc_heap
::
Info
*
p2
,
const
Gcalc_heap
::
Info
*
p3
,
...
...
@@ -467,9 +423,16 @@ public:
int
x_calculated
;
Gcalc_coord3
y_exp
;
int
y_calculated
;
void
calc_t
();
void
calc_y_exp
();
void
calc_x_exp
();
void
calc_t
()
{
if
(
!
t_calculated
)
do_calc_t
();
}
void
calc_y_exp
()
{
if
(
!
y_calculated
)
do_calc_y
();
}
void
calc_x_exp
()
{
if
(
!
x_calculated
)
do_calc_x
();
}
void
do_calc_t
();
void
do_calc_x
();
void
do_calc_y
();
};
...
...
@@ -540,8 +503,6 @@ private:
point
*
new_slice_point
()
{
point
*
new_point
=
(
point
*
)
new_item
();
new_point
->
dx
.
init
();
new_point
->
dy
.
init
();
return
new_point
;
}
intersection_info
*
new_intersection_info
(
point
*
a
,
point
*
b
)
...
...
@@ -553,6 +514,7 @@ private:
return
ii
;
}
int
arrange_event
(
int
do_sorting
,
int
n_intersections
);
static
double
get_pure_double
(
const
Gcalc_internal_coord
*
d
,
int
d_len
);
};
...
...
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