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/*
* Copyright 2015 Advanced Micro Devices, Inc.
*
* 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 COPYRIGHT HOLDER(S) OR AUTHOR(S) 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 <asm/div64.h>
#define SHIFT_AMOUNT 16 /* We multiply all original integers with 2^SHIFT_AMOUNT to get the fInt representation */
#define PRECISION 5 /* Change this value to change the number of decimal places in the final output - 5 is a good default */
#define SHIFTED_2 (2 << SHIFT_AMOUNT)
#define MAX (1 << (SHIFT_AMOUNT - 1)) - 1 /* 32767 - Might change in the future */
/* -------------------------------------------------------------------------------
* NEW TYPE - fINT
* -------------------------------------------------------------------------------
* A variable of type fInt can be accessed in 3 ways using the dot (.) operator
* fInt A;
* A.full => The full number as it is. Generally not easy to read
* A.partial.real => Only the integer portion
* A.partial.decimal => Only the fractional portion
*/
typedef union _fInt {
int full;
struct _partial {
unsigned int decimal: SHIFT_AMOUNT; /*Needs to always be unsigned*/
int real: 32 - SHIFT_AMOUNT;
} partial;
} fInt;
/* -------------------------------------------------------------------------------
* Function Declarations
* -------------------------------------------------------------------------------
*/
static fInt ConvertToFraction(int); /* Use this to convert an INT to a FINT */
static fInt Convert_ULONG_ToFraction(uint32_t); /* Use this to convert an uint32_t to a FINT */
static fInt GetScaledFraction(int, int); /* Use this to convert an INT to a FINT after scaling it by a factor */
static int ConvertBackToInteger(fInt); /* Convert a FINT back to an INT that is scaled by 1000 (i.e. last 3 digits are the decimal digits) */
static fInt fNegate(fInt); /* Returns -1 * input fInt value */
static fInt fAdd (fInt, fInt); /* Returns the sum of two fInt numbers */
static fInt fSubtract (fInt A, fInt B); /* Returns A-B - Sometimes easier than Adding negative numbers */
static fInt fMultiply (fInt, fInt); /* Returns the product of two fInt numbers */
static fInt fDivide (fInt A, fInt B); /* Returns A/B */
static fInt fGetSquare(fInt); /* Returns the square of a fInt number */
static fInt fSqrt(fInt); /* Returns the Square Root of a fInt number */
static int uAbs(int); /* Returns the Absolute value of the Int */
static int uPow(int base, int exponent); /* Returns base^exponent an INT */
static void SolveQuadracticEqn(fInt, fInt, fInt, fInt[]); /* Returns the 2 roots via the array */
static bool Equal(fInt, fInt); /* Returns true if two fInts are equal to each other */
static bool GreaterThan(fInt A, fInt B); /* Returns true if A > B */
static fInt fExponential(fInt exponent); /* Can be used to calculate e^exponent */
static fInt fNaturalLog(fInt value); /* Can be used to calculate ln(value) */
/* Fuse decoding functions
* -------------------------------------------------------------------------------------
*/
static fInt fDecodeLinearFuse(uint32_t fuse_value, fInt f_min, fInt f_range, uint32_t bitlength);
static fInt fDecodeLogisticFuse(uint32_t fuse_value, fInt f_average, fInt f_range, uint32_t bitlength);
static fInt fDecodeLeakageID (uint32_t leakageID_fuse, fInt ln_max_div_min, fInt f_min, uint32_t bitlength);
/* Internal Support Functions - Use these ONLY for testing or adding to internal functions
* -------------------------------------------------------------------------------------
* Some of the following functions take two INTs as their input - This is unsafe for a variety of reasons.
*/
static fInt Divide (int, int); /* Divide two INTs and return result as FINT */
static fInt fNegate(fInt);
static int uGetScaledDecimal (fInt); /* Internal function */
static int GetReal (fInt A); /* Internal function */
/* -------------------------------------------------------------------------------------
* TROUBLESHOOTING INFORMATION
* -------------------------------------------------------------------------------------
* 1) ConvertToFraction - InputOutOfRangeException: Only accepts numbers smaller than MAX (default: 32767)
* 2) fAdd - OutputOutOfRangeException: Output bigger than MAX (default: 32767)
* 3) fMultiply - OutputOutOfRangeException:
* 4) fGetSquare - OutputOutOfRangeException:
* 5) fDivide - DivideByZeroException
* 6) fSqrt - NegativeSquareRootException: Input cannot be a negative number
*/
/* -------------------------------------------------------------------------------------
* START OF CODE
* -------------------------------------------------------------------------------------
*/
static fInt fExponential(fInt exponent) /*Can be used to calculate e^exponent*/
{
uint32_t i;
bool bNegated = false;
fInt fPositiveOne = ConvertToFraction(1);
fInt fZERO = ConvertToFraction(0);
fInt lower_bound = Divide(78, 10000);
fInt solution = fPositiveOne; /*Starting off with baseline of 1 */
fInt error_term;
static const uint32_t k_array[11] = {55452, 27726, 13863, 6931, 4055, 2231, 1178, 606, 308, 155, 78};
static const uint32_t expk_array[11] = {2560000, 160000, 40000, 20000, 15000, 12500, 11250, 10625, 10313, 10156, 10078};
if (GreaterThan(fZERO, exponent)) {
exponent = fNegate(exponent);
bNegated = true;
}
while (GreaterThan(exponent, lower_bound)) {
for (i = 0; i < 11; i++) {
if (GreaterThan(exponent, GetScaledFraction(k_array[i], 10000))) {
exponent = fSubtract(exponent, GetScaledFraction(k_array[i], 10000));
solution = fMultiply(solution, GetScaledFraction(expk_array[i], 10000));
}
}
}
error_term = fAdd(fPositiveOne, exponent);
solution = fMultiply(solution, error_term);
if (bNegated)
solution = fDivide(fPositiveOne, solution);
return solution;
}
static fInt fNaturalLog(fInt value)
{
uint32_t i;
fInt upper_bound = Divide(8, 1000);
fInt fNegativeOne = ConvertToFraction(-1);
fInt solution = ConvertToFraction(0); /*Starting off with baseline of 0 */
fInt error_term;
static const uint32_t k_array[10] = {160000, 40000, 20000, 15000, 12500, 11250, 10625, 10313, 10156, 10078};
static const uint32_t logk_array[10] = {27726, 13863, 6931, 4055, 2231, 1178, 606, 308, 155, 78};
while (GreaterThan(fAdd(value, fNegativeOne), upper_bound)) {
for (i = 0; i < 10; i++) {
if (GreaterThan(value, GetScaledFraction(k_array[i], 10000))) {
value = fDivide(value, GetScaledFraction(k_array[i], 10000));
solution = fAdd(solution, GetScaledFraction(logk_array[i], 10000));
}
}
}
error_term = fAdd(fNegativeOne, value);
return (fAdd(solution, error_term));
}
static fInt fDecodeLinearFuse(uint32_t fuse_value, fInt f_min, fInt f_range, uint32_t bitlength)
{
fInt f_fuse_value = Convert_ULONG_ToFraction(fuse_value);
fInt f_bit_max_value = Convert_ULONG_ToFraction((uPow(2, bitlength)) - 1);
fInt f_decoded_value;
f_decoded_value = fDivide(f_fuse_value, f_bit_max_value);
f_decoded_value = fMultiply(f_decoded_value, f_range);
f_decoded_value = fAdd(f_decoded_value, f_min);
return f_decoded_value;
}
static fInt fDecodeLogisticFuse(uint32_t fuse_value, fInt f_average, fInt f_range, uint32_t bitlength)
{
fInt f_fuse_value = Convert_ULONG_ToFraction
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