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f32_sqrt.c File Reference
#include <stdbool.h>
#include <stdint.h>
#include "platform.h"
#include "internals.h"
#include "specialize.h"
#include "softfloat.h"
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Functions

float32_t f32_sqrt (float32_t a)
 

Function Documentation

◆ f32_sqrt()

float32_t f32_sqrt ( float32_t a)

Definition at line 44 of file f32_sqrt.c.

45{
46 union ui32_f32 uA;
47 uint_fast32_t uiA;
48 bool signA;
49 int_fast16_t expA;
50 uint_fast32_t sigA, uiZ;
51 struct exp16_sig32 normExpSig;
52 int_fast16_t expZ;
53 uint_fast32_t sigZ, shiftedSigZ;
54 uint32_t negRem;
55 union ui32_f32 uZ;
56
57 /*------------------------------------------------------------------------
58 *------------------------------------------------------------------------*/
59 uA.f = a;
60 uiA = uA.ui;
61 signA = signF32UI( uiA );
62 expA = expF32UI( uiA );
63 sigA = fracF32UI( uiA );
64 /*------------------------------------------------------------------------
65 *------------------------------------------------------------------------*/
66 if ( expA == 0xFF ) {
67 if ( sigA ) {
68 uiZ = softfloat_propagateNaNF32UI( uiA, 0 );
69 goto uiZ;
70 }
71 if ( ! signA ) return a;
72 goto invalid;
73 }
74 /*------------------------------------------------------------------------
75 *------------------------------------------------------------------------*/
76 if ( signA ) {
77 if ( ! (expA | sigA) ) return a;
78 goto invalid;
79 }
80 /*------------------------------------------------------------------------
81 *------------------------------------------------------------------------*/
82 if ( ! expA ) {
83 if ( ! sigA ) return a;
84 normExpSig = softfloat_normSubnormalF32Sig( sigA );
85 expA = normExpSig.exp;
86 sigA = normExpSig.sig;
87 }
88 /*------------------------------------------------------------------------
89 *------------------------------------------------------------------------*/
90 expZ = ((expA - 0x7F)>>1) + 0x7E;
91 expA &= 1;
92 sigA = (sigA | 0x00800000)<<8;
93 sigZ =
94 ((uint_fast64_t) sigA * softfloat_approxRecipSqrt32_1( expA, sigA ))
95 >>32;
96 if ( expA ) sigZ >>= 1;
97 /*------------------------------------------------------------------------
98 *------------------------------------------------------------------------*/
99 sigZ += 2;
100 if ( (sigZ & 0x3F) < 2 ) {
101 shiftedSigZ = sigZ>>2;
102 negRem = shiftedSigZ * shiftedSigZ;
103 sigZ &= ~3;
104 if ( negRem & 0x80000000 ) {
105 sigZ |= 1;
106 } else {
107 if ( negRem ) --sigZ;
108 }
109 }
110 return softfloat_roundPackToF32( 0, expZ, sigZ );
111 /*------------------------------------------------------------------------
112 *------------------------------------------------------------------------*/
113 invalid:
115 uiZ = defaultNaNF32UI;
116 uiZ:
117 uZ.ui = uiZ;
118 return uZ.f;
119
120}
const GenericPointer< typename T::ValueType > T2 T::AllocatorType & a
Definition pointer.h:1181
uint_fast32_t softfloat_propagateNaNF32UI(uint_fast32_t uiA, uint_fast32_t uiB)
void softfloat_raiseFlags(uint_fast8_t flags)
#define defaultNaNF32UI
Definition specialize.h:123
#define expF32UI(a)
Definition internals.h:105
float32_t softfloat_roundPackToF32(bool, int_fast16_t, uint_fast32_t)
struct exp16_sig32 softfloat_normSubnormalF32Sig(uint_fast32_t)
#define fracF32UI(a)
Definition internals.h:106
#define signF32UI(a)
Definition internals.h:104
uint32_t softfloat_approxRecipSqrt32_1(unsigned int oddExpA, uint32_t a)
@ softfloat_flag_invalid
Definition softfloat.h:89
unsigned int uint32_t
Definition stdint.h:126
uint64_t uint_fast64_t
Definition stdint.h:157
uint32_t uint_fast32_t
Definition stdint.h:156
int16_t int_fast16_t
Definition stdint.h:151
float32_t f
Definition internals.h:46
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