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authorLioncash <mathew1800@gmail.com>2018-05-07 01:18:41 -0400
committerLioncash <mathew1800@gmail.com>2018-05-07 02:56:32 -0400
commit86018b503b51d32ea67b6e6978ba52fce36fc175 (patch)
tree84354d2e463360e8d7a64fd8c23d4f29d6c9f974 /Source/Core/Common/MathUtil.cpp
parent756ef54ab6e72e30fcd01a7e4b9cce5c4a69e047 (diff)
Common: Move floating-point utility functions to FloatUtils.h/.cpp
Keeps all of the floating-point utility functions in their own file to keep them all together. This also provides a place for other general-purpose floating-point functions to be added in the future, which will be necessary when improving the flag-setting within the interpreter.
Diffstat (limited to 'Source/Core/Common/MathUtil.cpp')
-rw-r--r--Source/Core/Common/MathUtil.cpp209
1 files changed, 0 insertions, 209 deletions
diff --git a/Source/Core/Common/MathUtil.cpp b/Source/Core/Common/MathUtil.cpp
index 0557c838b3..c1be813cc1 100644
--- a/Source/Core/Common/MathUtil.cpp
+++ b/Source/Core/Common/MathUtil.cpp
@@ -10,215 +10,6 @@
#include "Common/CommonTypes.h"
#include "Common/MathUtil.h"
-namespace MathUtil
-{
-u32 ClassifyDouble(double dvalue)
-{
- // TODO: Optimize the below to be as fast as possible.
- IntDouble value(dvalue);
- u64 sign = value.i & DOUBLE_SIGN;
- u64 exp = value.i & DOUBLE_EXP;
- if (exp > DOUBLE_ZERO && exp < DOUBLE_EXP)
- {
- // Nice normalized number.
- return sign ? PPC_FPCLASS_NN : PPC_FPCLASS_PN;
- }
- else
- {
- u64 mantissa = value.i & DOUBLE_FRAC;
- if (mantissa)
- {
- if (exp)
- {
- return PPC_FPCLASS_QNAN;
- }
- else
- {
- // Denormalized number.
- return sign ? PPC_FPCLASS_ND : PPC_FPCLASS_PD;
- }
- }
- else if (exp)
- {
- // Infinite
- return sign ? PPC_FPCLASS_NINF : PPC_FPCLASS_PINF;
- }
- else
- {
- // Zero
- return sign ? PPC_FPCLASS_NZ : PPC_FPCLASS_PZ;
- }
- }
-}
-
-u32 ClassifyFloat(float fvalue)
-{
- // TODO: Optimize the below to be as fast as possible.
- IntFloat value(fvalue);
- u32 sign = value.i & FLOAT_SIGN;
- u32 exp = value.i & FLOAT_EXP;
- if (exp > FLOAT_ZERO && exp < FLOAT_EXP)
- {
- // Nice normalized number.
- return sign ? PPC_FPCLASS_NN : PPC_FPCLASS_PN;
- }
- else
- {
- u32 mantissa = value.i & FLOAT_FRAC;
- if (mantissa)
- {
- if (exp)
- {
- return PPC_FPCLASS_QNAN; // Quiet NAN
- }
- else
- {
- // Denormalized number.
- return sign ? PPC_FPCLASS_ND : PPC_FPCLASS_PD;
- }
- }
- else if (exp)
- {
- // Infinite
- return sign ? PPC_FPCLASS_NINF : PPC_FPCLASS_PINF;
- }
- else
- {
- // Zero
- return sign ? PPC_FPCLASS_NZ : PPC_FPCLASS_PZ;
- }
- }
-}
-
-const std::array<BaseAndDec, 32> frsqrte_expected = {{
- {0x3ffa000, 0x7a4}, {0x3c29000, 0x700}, {0x38aa000, 0x670}, {0x3572000, 0x5f2},
- {0x3279000, 0x584}, {0x2fb7000, 0x524}, {0x2d26000, 0x4cc}, {0x2ac0000, 0x47e},
- {0x2881000, 0x43a}, {0x2665000, 0x3fa}, {0x2468000, 0x3c2}, {0x2287000, 0x38e},
- {0x20c1000, 0x35e}, {0x1f12000, 0x332}, {0x1d79000, 0x30a}, {0x1bf4000, 0x2e6},
- {0x1a7e800, 0x568}, {0x17cb800, 0x4f3}, {0x1552800, 0x48d}, {0x130c000, 0x435},
- {0x10f2000, 0x3e7}, {0x0eff000, 0x3a2}, {0x0d2e000, 0x365}, {0x0b7c000, 0x32e},
- {0x09e5000, 0x2fc}, {0x0867000, 0x2d0}, {0x06ff000, 0x2a8}, {0x05ab800, 0x283},
- {0x046a000, 0x261}, {0x0339800, 0x243}, {0x0218800, 0x226}, {0x0105800, 0x20b},
-}};
-
-double ApproximateReciprocalSquareRoot(double val)
-{
- union
- {
- double valf;
- s64 vali;
- };
- valf = val;
- s64 mantissa = vali & ((1LL << 52) - 1);
- s64 sign = vali & (1ULL << 63);
- s64 exponent = vali & (0x7FFLL << 52);
-
- // Special case 0
- if (mantissa == 0 && exponent == 0)
- return sign ? -std::numeric_limits<double>::infinity() :
- std::numeric_limits<double>::infinity();
- // Special case NaN-ish numbers
- if (exponent == (0x7FFLL << 52))
- {
- if (mantissa == 0)
- {
- if (sign)
- return std::numeric_limits<double>::quiet_NaN();
-
- return 0.0;
- }
-
- return 0.0 + valf;
- }
-
- // Negative numbers return NaN
- if (sign)
- return std::numeric_limits<double>::quiet_NaN();
-
- if (!exponent)
- {
- // "Normalize" denormal values
- do
- {
- exponent -= 1LL << 52;
- mantissa <<= 1;
- } while (!(mantissa & (1LL << 52)));
- mantissa &= (1LL << 52) - 1;
- exponent += 1LL << 52;
- }
-
- bool odd_exponent = !(exponent & (1LL << 52));
- exponent = ((0x3FFLL << 52) - ((exponent - (0x3FELL << 52)) / 2)) & (0x7FFLL << 52);
-
- int i = (int)(mantissa >> 37);
- vali = sign | exponent;
- int index = i / 2048 + (odd_exponent ? 16 : 0);
- const auto& entry = frsqrte_expected[index];
- vali |= (s64)(entry.m_base - entry.m_dec * (i % 2048)) << 26;
- return valf;
-}
-
-const std::array<BaseAndDec, 32> fres_expected = {{
- {0x7ff800, 0x3e1}, {0x783800, 0x3a7}, {0x70ea00, 0x371}, {0x6a0800, 0x340}, {0x638800, 0x313},
- {0x5d6200, 0x2ea}, {0x579000, 0x2c4}, {0x520800, 0x2a0}, {0x4cc800, 0x27f}, {0x47ca00, 0x261},
- {0x430800, 0x245}, {0x3e8000, 0x22a}, {0x3a2c00, 0x212}, {0x360800, 0x1fb}, {0x321400, 0x1e5},
- {0x2e4a00, 0x1d1}, {0x2aa800, 0x1be}, {0x272c00, 0x1ac}, {0x23d600, 0x19b}, {0x209e00, 0x18b},
- {0x1d8800, 0x17c}, {0x1a9000, 0x16e}, {0x17ae00, 0x15b}, {0x14f800, 0x15b}, {0x124400, 0x143},
- {0x0fbe00, 0x143}, {0x0d3800, 0x12d}, {0x0ade00, 0x12d}, {0x088400, 0x11a}, {0x065000, 0x11a},
- {0x041c00, 0x108}, {0x020c00, 0x106},
-}};
-
-// Used by fres and ps_res.
-double ApproximateReciprocal(double val)
-{
- // We are using namespace std scoped here because the Android NDK is complete trash as usual
- // For 32bit targets(mips, ARMv7, x86) it doesn't provide an implementation of std::copysign
- // but instead provides just global namespace copysign implementations.
- // The workaround for this is to just use namespace std within this function's scope
- // That way on real toolchains it will use the std:: variant like normal.
- using namespace std;
- union
- {
- double valf;
- s64 vali;
- };
-
- valf = val;
- s64 mantissa = vali & ((1LL << 52) - 1);
- s64 sign = vali & (1ULL << 63);
- s64 exponent = vali & (0x7FFLL << 52);
-
- // Special case 0
- if (mantissa == 0 && exponent == 0)
- return copysign(std::numeric_limits<double>::infinity(), valf);
-
- // Special case NaN-ish numbers
- if (exponent == (0x7FFLL << 52))
- {
- if (mantissa == 0)
- return copysign(0.0, valf);
- return 0.0 + valf;
- }
-
- // Special case small inputs
- if (exponent < (895LL << 52))
- return copysign(std::numeric_limits<float>::max(), valf);
-
- // Special case large inputs
- if (exponent >= (1149LL << 52))
- return copysign(0.0, valf);
-
- exponent = (0x7FDLL << 52) - exponent;
-
- int i = (int)(mantissa >> 37);
- const auto& entry = fres_expected[i / 1024];
- vali = sign | exponent;
- vali |= (s64)(entry.m_base - (entry.m_dec * (i % 1024) + 1) / 2) << 29;
- return valf;
-}
-
-} // namespace
-
inline void MatrixMul(int n, const float* a, const float* b, float* result)
{
for (int i = 0; i < n; ++i)