|
@@ -19,14 +19,16 @@ |
|
|
using namespace lol; |
|
|
using namespace lol; |
|
|
using namespace std; |
|
|
using namespace std; |
|
|
|
|
|
|
|
|
static float adjustf(float f, int i) |
|
|
|
|
|
|
|
|
float adjustf(float f, int i) __attribute__((noinline)); |
|
|
|
|
|
float adjustf(float f, int i) |
|
|
{ |
|
|
{ |
|
|
union { float f; uint32_t x; } u = { f }; |
|
|
union { float f; uint32_t x; } u = { f }; |
|
|
u.x += i; |
|
|
u.x += i; |
|
|
return u.f; |
|
|
return u.f; |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
static double adjust(double f, int i) |
|
|
|
|
|
|
|
|
double adjust(double f, int i) __attribute__((noinline)); |
|
|
|
|
|
double adjust(double f, int i) |
|
|
{ |
|
|
{ |
|
|
union { double f; uint64_t x; } u = { f }; |
|
|
union { double f; uint64_t x; } u = { f }; |
|
|
u.x += i; |
|
|
u.x += i; |
|
@@ -36,16 +38,24 @@ static double adjust(double f, int i) |
|
|
static void inspect(float f) |
|
|
static void inspect(float f) |
|
|
{ |
|
|
{ |
|
|
union { float f; uint32_t x; } u = { f }; |
|
|
union { float f; uint32_t x; } u = { f }; |
|
|
printf("%08x %g -- ", u.x, u.f); |
|
|
|
|
|
|
|
|
printf("%08x %14.12g -- ", u.x, u.f); |
|
|
int i = (u.x & 0x7fffffu) | 0x800000u; |
|
|
int i = (u.x & 0x7fffffu) | 0x800000u; |
|
|
int j = 23 - ((u.x >> 23) & 0xff) + ((1 << 7) - 1); |
|
|
int j = 23 - ((u.x >> 23) & 0xff) + ((1 << 7) - 1); |
|
|
if (u.f <= 0) |
|
|
if (u.f <= 0) |
|
|
i = -i; |
|
|
i = -i; |
|
|
printf("%i / 2^%i = %g\n", i, j, (float)i / (1LLu << j)); |
|
|
|
|
|
|
|
|
printf("%i / 2^%i = %14.12g\n", i, j, (float)i / (1LLu << j)); |
|
|
} |
|
|
} |
|
|
|
|
|
|
|
|
//#define float double |
|
|
//#define float double |
|
|
#if 1 |
|
|
#if 1 |
|
|
|
|
|
static float const a0 = 1.0; |
|
|
|
|
|
static float const a1 = -0.1666666666663036; |
|
|
|
|
|
static float const a2 = 0.008333333325075758; |
|
|
|
|
|
static float const a3 = -0.0001984126372689299; |
|
|
|
|
|
static float const a4 = 2.755533925906394e-06; |
|
|
|
|
|
static float const a5 = -2.476042626296988e-08; |
|
|
|
|
|
static float const a6 = 0.0; |
|
|
|
|
|
#elif 0 |
|
|
static float const a0 = adjust(0.9999999999999376, 0); |
|
|
static float const a0 = adjust(0.9999999999999376, 0); |
|
|
static float const a1 = adjust(-0.1666666666643236, 0); |
|
|
static float const a1 = adjust(-0.1666666666643236, 0); |
|
|
static float const a2 = adjust(0.008333333318766562, 0); |
|
|
static float const a2 = adjust(0.008333333318766562, 0); |
|
@@ -73,7 +83,7 @@ static float const a6 = 0.0; |
|
|
|
|
|
|
|
|
static float floatsin(float f) |
|
|
static float floatsin(float f) |
|
|
{ |
|
|
{ |
|
|
//return lol_sin(f); |
|
|
|
|
|
|
|
|
return lol_sin(f); |
|
|
//static float const k = (float)real::R_2_PI; |
|
|
//static float const k = (float)real::R_2_PI; |
|
|
|
|
|
|
|
|
//f *= k; |
|
|
//f *= k; |
|
@@ -87,6 +97,8 @@ static float floatsin(float f) |
|
|
|
|
|
|
|
|
int main(void) |
|
|
int main(void) |
|
|
{ |
|
|
{ |
|
|
|
|
|
typedef union { float f; uint32_t x; } flint; |
|
|
|
|
|
|
|
|
int error[5] = { 0 }; |
|
|
int error[5] = { 0 }; |
|
|
|
|
|
|
|
|
inspect(a0); |
|
|
inspect(a0); |
|
@@ -96,19 +108,32 @@ int main(void) |
|
|
inspect(a4); |
|
|
inspect(a4); |
|
|
inspect(a5); |
|
|
inspect(a5); |
|
|
|
|
|
|
|
|
for (float f = (float)real::R_PI_2; f > 1e-30; f = adjustf(f, -1)) |
|
|
|
|
|
|
|
|
//flint v = { 1.433971524239 }; |
|
|
|
|
|
flint v = { 1.555388212204 }; |
|
|
|
|
|
inspect(v.f); |
|
|
|
|
|
printf("sinf: "); |
|
|
|
|
|
flint w = { sinf(adjustf(v.f, 0)) }; |
|
|
|
|
|
inspect(w.f); |
|
|
|
|
|
printf("lols: "); |
|
|
|
|
|
flint z = { lol_sin(adjustf(v.f, 0)) }; |
|
|
|
|
|
inspect(z.f); |
|
|
|
|
|
|
|
|
|
|
|
printf("-- START --\n"); |
|
|
|
|
|
for (flint u = { (float)real::R_PI_2 }; u.f > 1e-30; u.x -= 1) |
|
|
{ |
|
|
{ |
|
|
union { float f; uint32_t x; } u = { f }; |
|
|
|
|
|
union { float f; uint32_t x; } s1 = { sinf(f) }; |
|
|
|
|
|
union { float f; uint32_t x; } s2 = { floatsin(f) }; |
|
|
|
|
|
|
|
|
union { float f; uint32_t x; } s1 = { sinf(adjustf(u.f, 0)) }; |
|
|
|
|
|
union { float f; uint32_t x; } s2 = { floatsin(adjustf(u.f, 0)) }; |
|
|
int e = abs((int)(s1.x - s2.x)); |
|
|
int e = abs((int)(s1.x - s2.x)); |
|
|
switch (e) |
|
|
switch (e) |
|
|
{ |
|
|
{ |
|
|
case 3: |
|
|
case 3: |
|
|
if (fabs((double)s1.f - (double)s2.f) > 1e-10 * fabs(s1.f)) |
|
|
|
|
|
printf("%15.13g %08x: %15.13g %15.13g %08x %08x\n", f, u.x, s1.f, s2.f, s1.x, s2.x); |
|
|
|
|
|
case 2: |
|
|
case 2: |
|
|
case 1: |
|
|
case 1: |
|
|
|
|
|
inspect(u.f); |
|
|
|
|
|
printf("sinf: "); |
|
|
|
|
|
inspect(sinf(u.f)); |
|
|
|
|
|
if (fabs((double)s1.f - (double)s2.f) > 1e-10 * fabs(s1.f)) |
|
|
|
|
|
printf("%15.13g %08x: %15.13g %15.13g %08x %08x\n", u.f, u.x, s1.f, s2.f, s1.x, s2.x); |
|
|
case 0: |
|
|
case 0: |
|
|
error[e]++; |
|
|
error[e]++; |
|
|
break; |
|
|
break; |
|
|