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circuitpython/py/objfloat.c at pdm · ProGamerCode/circuitpython · GitHub
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/*
* This file is part of the Micro Python project, http://micropython.org/
*
* The MIT License (MIT)
*
* Copyright (c) 2013, 2014 Damien P. George
*
* Permission is hereby granted, free of charge, to any person obtaining a copy
* of this software and associated documentation files (the "Software"), to deal
* in the Software without restriction, including without limitation the rights
* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
* copies of the Software, and to permit persons to whom the Software is
* furnished to do so, subject to the following conditions:
*
* The above copyright notice and this permission notice shall be included in
* all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
* THE SOFTWARE.
*/
#include
<stdlib.h>
#include
<stdio.h>
#include
<string.h>
#include
<assert.h>
#include
"py/nlr.h"
#include
"py/parsenum.h"
#include
"py/runtime0.h"
#include
"py/runtime.h"
#if
MICROPY_PY_BUILTINS_FLOAT
#include
<math.h>
#include
"py/formatfloat.h"
#pragma
GCC diagnostic push
#pragma
GCC diagnostic ignored "-Wfloat-equal"
#if
MICROPY_OBJ_REPR
!=
MICROPY_OBJ_REPR_C
&&
MICROPY_OBJ_REPR
!=
MICROPY_OBJ_REPR_D
// M_E and M_PI are not part of the math.h standard and may not be defined
#ifndef
M_E
#define
M_E
(2.7182818284590452354)
#endif
#ifndef
M_PI
#define
M_PI
(3.14159265358979323846)
#endif
typedef
struct
_mp_obj_float_t
{
mp_obj_base_t
base
;
mp_float_t
value
;
}
mp_obj_float_t
;
const
mp_obj_float_t
mp_const_float_e_obj
=
{{
&
mp_type_float
},
M_E
};
const
mp_obj_float_t
mp_const_float_pi_obj
=
{{
&
mp_type_float
},
M_PI
};
#endif
#if
MICROPY_FLOAT_HIGH_QUALITY_HASH
// must return actual integer value if it fits in mp_int_t
mp_int_t
mp_float_hash
(
mp_float_t
src
) {
#if
MICROPY_FLOAT_IMPL
==
MICROPY_FLOAT_IMPL_DOUBLE
typedef
uint64_t
mp_float_uint_t
;
#elif
MICROPY_FLOAT_IMPL
==
MICROPY_FLOAT_IMPL_FLOAT
typedef
uint32_t
mp_float_uint_t
;
#endif
union
{
mp_float_t
f
;
#if
MP_ENDIANNESS_LITTLE
struct
{
mp_float_uint_t
frc
:
MP_FLOAT_FRAC_BITS
,
exp
:
MP_FLOAT_EXP_BITS
,
sgn
:
1
; }
p
;
#else
struct
{
mp_float_uint_t
sgn
:
1
,
exp
:
MP_FLOAT_EXP_BITS
,
frc
:
MP_FLOAT_FRAC_BITS
; }
p
;
#endif
mp_float_uint_t
i
;
}
u
=
{.
f
=
src
};
mp_int_t
val
;
const
int
adj_exp
=
(
int
)
u
.
p
.
exp
-
MP_FLOAT_EXP_BIAS
;
if
(
adj_exp
<
0
) {
// value < 1; must be sure to handle 0.0 correctly (ie return 0)
val
=
u
.
i
;
}
else
{
// if adj_exp is max then: u.p.frc==0 indicates inf, else NaN
// else: 1 <= value
mp_float_uint_t
frc
=
u
.
p
.
frc
| ((
mp_float_uint_t
)
1
<<
MP_FLOAT_FRAC_BITS
);
if
(
adj_exp
<=
MP_FLOAT_FRAC_BITS
) {
// number may have a fraction; xor the integer part with the fractional part
val
=
(
frc
>> (
MP_FLOAT_FRAC_BITS
-
adj_exp
))
^ (
frc
&
((
1
<< (
MP_FLOAT_FRAC_BITS
-
adj_exp
))
-
1
));
}
else
if
((
unsigned
int
)
adj_exp
<
BITS_PER_BYTE
*
sizeof
(
mp_int_t
)
-
1
) {
// the number is a (big) whole integer and will fit in val's signed-width
val
=
(
mp_int_t
)
frc
<< (
adj_exp
-
MP_FLOAT_FRAC_BITS
);
}
else
{
// integer part will overflow val's width so just use what bits we can
val
=
frc
;
}
}
if
(
u
.
p
.
sgn
) {
val
=
-
val
;
}
return
val
;
}
#endif
STATIC
void
float_print
(
const
mp_print_t
*
print
,
mp_obj_t
o_in
,
mp_print_kind_t
kind
) {
(
void
)
kind
;
mp_float_t
o_val
=
mp_obj_float_get
(
o_in
);
#if
MICROPY_FLOAT_IMPL
==
MICROPY_FLOAT_IMPL_FLOAT
char
buf
[
16
];
#if
MICROPY_OBJ_REPR
==
MICROPY_OBJ_REPR_C
const
int
precision
=
6
;
#else
const
int
precision
=
7
;
#endif
#else
char
buf
[
32
];
const
int
precision
=
16
;
#endif
mp_format_float
(
o_val
,
buf
,
sizeof
(
buf
),
'g'
,
precision
,
'\0'
);
mp_print_str
(
print
,
buf
);
if
(
strchr
(
buf
,
'.'
)
==
NULL
&&
strchr
(
buf
,
'e'
)
==
NULL
&&
strchr
(
buf
,
'n'
)
==
NULL
) {
// Python floats always have decimal point (unless inf or nan)
mp_print_str
(
print
,
".0"
);
}
}
STATIC
mp_obj_t
float_make_new
(
const
mp_obj_type_t
*
type_in
,
size_t
n_args
,
size_t
n_kw
,
const
mp_obj_t
*
args
) {
(
void
)
type_in
;
mp_arg_check_num
(
n_args
,
n_kw
,
0
,
1
, false);
switch
(
n_args
) {
case
0
:
return
mp_obj_new_float
(
0
);
case
1
:
default
:
if
(
MP_OBJ_IS_STR
(
args
[
0
])) {
// a string, parse it
size_t
l
;
const
char
*
s
=
mp_obj_str_get_data
(
args
[
0
],
&
l
);
return
mp_parse_num_decimal
(
s
,
l
, false, false,
NULL
);
}
else
if
(
mp_obj_is_float
(
args
[
0
])) {
// a float, just return it
return
args
[
0
];
}
else
{
// something else, try to cast it to a float
return
mp_obj_new_float
(
mp_obj_get_float
(
args
[
0
]));
}
}
}
STATIC
mp_obj_t
float_unary_op
(
mp_uint_t
op
,
mp_obj_t
o_in
) {
mp_float_t
val
=
mp_obj_float_get
(
o_in
);
switch
(
op
) {
case
MP_UNARY_OP_BOOL
:
return
mp_obj_new_bool
(
val
!=
0
);
case
MP_UNARY_OP_HASH
:
return
MP_OBJ_NEW_SMALL_INT
(
mp_float_hash
(
val
));
case
MP_UNARY_OP_POSITIVE
:
return
o_in
;
case
MP_UNARY_OP_NEGATIVE
:
return
mp_obj_new_float
(
-
val
);
default
:
return
MP_OBJ_NULL
;
// op not supported
}
}
STATIC
mp_obj_t
float_binary_op
(
mp_uint_t
op
,
mp_obj_t
lhs_in
,
mp_obj_t
rhs_in
) {
mp_float_t
lhs_val
=
mp_obj_float_get
(
lhs_in
);
#if
MICROPY_PY_BUILTINS_COMPLEX
if
(
MP_OBJ_IS_TYPE
(
rhs_in
,
&
mp_type_complex
)) {
return
mp_obj_complex_binary_op
(
op
,
lhs_val
,
0
,
rhs_in
);
}
else
#endif
{
return
mp_obj_float_binary_op
(
op
,
lhs_val
,
rhs_in
);
}
}
const
mp_obj_type_t
mp_type_float
=
{
{
&
mp_type_type
},
.
name
=
MP_QSTR_float
,
.
print
=
float_print
,
.
make_new
=
float_make_new
,
.
unary_op
=
float_unary_op
,
.
binary_op
=
float_binary_op
,
};
#if
MICROPY_OBJ_REPR
!=
MICROPY_OBJ_REPR_C
&&
MICROPY_OBJ_REPR
!=
MICROPY_OBJ_REPR_D
mp_obj_t
mp_obj_new_float
(
mp_float_t
value
) {
mp_obj_float_t
*
o
=
m_new
(
mp_obj_float_t
,
1
);
o
->
base
.
type
=
&
mp_type_float
;
o
->
value
=
value
;
return
MP_OBJ_FROM_PTR
(
o
);
}
mp_float_t
mp_obj_float_get
(
mp_obj_t
self_in
) {
assert
(
mp_obj_is_float
(
self_in
));
mp_obj_float_t
*
self
=
MP_OBJ_TO_PTR
(
self_in
);
return
self
->
value
;
}
#endif
STATIC
void
mp_obj_float_divmod
(
mp_float_t
*
x
,
mp_float_t
*
y
) {
// logic here follows that of CPython
// https://docs.python.org/3/reference/expressions.html#binary-arithmetic-operations
// x == (x//y)*y + (x%y)
// divmod(x, y) == (x//y, x%y)
mp_float_t
mod
=
MICROPY_FLOAT_C_FUN
(
fmod
)(
*
x
,
*
y
);
mp_float_t
div
=
(
*
x
-
mod
) /
*
y
;
// Python specs require that mod has same sign as second operand
if
(
mod
==
0.0
) {
mod
=
MICROPY_FLOAT_C_FUN
(
copysign
)(
0.0
,
*
y
);
}
else
{
if
((
mod
<
0.0
)
!=
(
*
y
<
0.0
)) {
mod
+=
*
y
;
div
-=
1.0
;
}
}
mp_float_t
floordiv
;
if
(
div
==
0.0
) {
// if division is zero, take the correct sign of zero
floordiv
=
MICROPY_FLOAT_C_FUN
(
copysign
)(
0.0
,
*
x
/
*
y
);
}
else
{
// Python specs require that x == (x//y)*y + (x%y)
floordiv
=
MICROPY_FLOAT_C_FUN
(
floor
)(
div
);
if
(
div
-
floordiv
>
0.5
) {
floordiv
+=
1.0
;
}
}
// return results
*
x
=
floordiv
;
*
y
=
mod
;
}
mp_obj_t
mp_obj_float_binary_op
(
mp_uint_t
op
,
mp_float_t
lhs_val
,
mp_obj_t
rhs_in
) {
mp_float_t
rhs_val
=
mp_obj_get_float
(
rhs_in
);
// can be any type, this function will convert to float (if possible)
switch
(
op
) {
case
MP_BINARY_OP_ADD
:
case
MP_BINARY_OP_INPLACE_ADD
:
lhs_val
+=
rhs_val
;
break
;
case
MP_BINARY_OP_SUBTRACT
:
case
MP_BINARY_OP_INPLACE_SUBTRACT
:
lhs_val
-=
rhs_val
;
break
;
case
MP_BINARY_OP_MULTIPLY
:
case
MP_BINARY_OP_INPLACE_MULTIPLY
:
lhs_val
*=
rhs_val
;
break
;
case
MP_BINARY_OP_FLOOR_DIVIDE
:
case
MP_BINARY_OP_INPLACE_FLOOR_DIVIDE
:
if
(
rhs_val
==
0
) {
zero_division_error
:
mp_raise_msg
(
&
mp_type_ZeroDivisionError
,
"division by zero"
);
}
// Python specs require that x == (x//y)*y + (x%y) so we must
// call divmod to compute the correct floor division, which
// returns the floor divide in lhs_val.
mp_obj_float_divmod
(
&
lhs_val
,
&
rhs_val
);
break
;
case
MP_BINARY_OP_TRUE_DIVIDE
:
case
MP_BINARY_OP_INPLACE_TRUE_DIVIDE
:
if
(
rhs_val
==
0
) {
goto
zero_division_error
;
}
lhs_val
/=
rhs_val
;
break
;
case
MP_BINARY_OP_MODULO
:
case
MP_BINARY_OP_INPLACE_MODULO
:
if
(
rhs_val
==
0
) {
goto
zero_division_error
;
}
lhs_val
=
MICROPY_FLOAT_C_FUN
(
fmod
)(
lhs_val
,
rhs_val
);
// Python specs require that mod has same sign as second operand
if
(
lhs_val
==
0.0
) {
lhs_val
=
MICROPY_FLOAT_C_FUN
(
copysign
)(
0.0
,
rhs_val
);
}
else
{
if
((
lhs_val
<
0.0
)
!=
(
rhs_val
<
0.0
)) {
lhs_val
+=
rhs_val
;
}
}
break
;
case
MP_BINARY_OP_POWER
:
case
MP_BINARY_OP_INPLACE_POWER
:
if
(
lhs_val
==
0
&&
rhs_val
<
0
) {
goto
zero_division_error
;
}
lhs_val
=
MICROPY_FLOAT_C_FUN
(
pow
)(
lhs_val
,
rhs_val
);
break
;
case
MP_BINARY_OP_DIVMOD
: {
if
(
rhs_val
==
0
) {
goto
zero_division_error
;
}
mp_obj_float_divmod
(
&
lhs_val
,
&
rhs_val
);
mp_obj_t
tuple
[
2
]
=
{
mp_obj_new_float
(
lhs_val
),
mp_obj_new_float
(
rhs_val
),
};
return
mp_obj_new_tuple
(
2
,
tuple
);
}
case
MP_BINARY_OP_LESS
:
return
mp_obj_new_bool
(
lhs_val
<
rhs_val
);
case
MP_BINARY_OP_MORE
:
return
mp_obj_new_bool
(
lhs_val
>
rhs_val
);
case
MP_BINARY_OP_EQUAL
:
return
mp_obj_new_bool
(
lhs_val
==
rhs_val
);
case
MP_BINARY_OP_LESS_EQUAL
:
return
mp_obj_new_bool
(
lhs_val
<=
rhs_val
);
case
MP_BINARY_OP_MORE_EQUAL
:
return
mp_obj_new_bool
(
lhs_val
>=
rhs_val
);
default
:
return
MP_OBJ_NULL
;
// op not supported
}
return
mp_obj_new_float
(
lhs_val
);
}
#pragma
GCC diagnostic pop
#endif
// MICROPY_PY_BUILTINS_FLOAT
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