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https://github.com/CloverHackyColor/CloverBootloader.git
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122 lines
3.2 KiB
C
122 lines
3.2 KiB
C
/**
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This library performs arbitrary precision arithmetic operations.
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For more details, please refer to the source files and function headers.
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Copyright (C) 2019, Download-Fritz. All rights reserved.
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This program and the accompanying materials
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are licensed and made available under the terms and conditions of the BSD License
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which accompanies this distribution. The full text of the license may be found at
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http://opensource.org/licenses/bsd-license.php
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THE PROGRAM IS DISTRIBUTED UNDER THE BSD LICENSE ON AN "AS IS" BASIS,
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WITHOUT WARRANTIES OR REPRESENTATIONS OF ANY KIND, EITHER EXPRESS OR IMPLIED.
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**/
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#ifndef BIG_NUM_LIB_H
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#define BIG_NUM_LIB_H
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#include <Library/OcMiscLib.h>
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///
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/// A BIGNUM word. This is at best an integer of the platform's natural size
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/// to optimize memory accesses and arithmetic operation count.
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///
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typedef UINTN OC_BN_WORD;
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//
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// Declarations regarding the Word size.
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//
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#define OC_BN_WORD_SIZE (sizeof (OC_BN_WORD))
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#define OC_BN_WORD_NUM_BITS ((OC_BN_NUM_BITS) (OC_BN_WORD_SIZE * OC_CHAR_BIT))
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//
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// Declarations regarding the maximum size of OC_BN structures.
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//
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typedef UINT16 OC_BN_NUM_WORDS;
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typedef UINT32 OC_BN_NUM_BITS;
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#define OC_BN_MAX_SIZE MAX_UINT16
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#define OC_BN_MAX_LEN (OC_BN_MAX_SIZE / OC_BN_WORD_SIZE)
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//
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// Primitives
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//
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/**
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Parses a data array into a number. The buffer size must be a multiple of the
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Word size. The length of Result must precisely fit the required size.
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@param[in,out] Result The buffer to store the result in.
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@param[in] NumWords The number of Words of Result.
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@param[in] Buffer The buffer to parse.
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@param[in] BufferSize The size, in bytes, of Buffer.
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**/
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VOID
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BigNumParseBuffer (
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IN OUT OC_BN_WORD *Result,
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IN OC_BN_NUM_WORDS NumWords,
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IN CONST UINT8 *Buffer,
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IN UINTN BufferSize
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);
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/**
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Swaps the byte order of Word.
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@param[in] Word The Word to swap.
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@returns The byte-swapped value of Word.
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**/
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OC_BN_WORD
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BigNumSwapWord (
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IN OC_BN_WORD Word
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);
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//
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// Montgomery arithmetics
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//
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/**
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Calculates the Montgomery Inverse and R^2 mod N.
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@param[in,out] RSqrMod The buffer to return R^2 mod N into.
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@param[in] NumWords The number of Words of RSqrMod and N.
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@param[in] N The Montgomery Modulus.
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@returns The Montgomery Inverse of N.
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**/
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OC_BN_WORD
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BigNumCalculateMontParams (
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IN OUT OC_BN_WORD *RSqrMod,
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IN OC_BN_NUM_WORDS NumWords,
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IN CONST OC_BN_WORD *N
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);
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/**
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Caulculates the exponentiation of A with B mod N.
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@param[in,out] Result The buffer to return the result into.
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@param[in] NumWords The number of Words of Result, A, N and RSqrMod.
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@param[in] A The base.
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@param[in] B The exponent.
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@param[in] N The modulus.
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@param[in] N0Inv The Montgomery Inverse of N.
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@param[in] RSqrMod Montgomery's R^2 mod N.
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@returns Whether the operation was completes successfully.
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**/
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BOOLEAN
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BigNumPowMod (
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IN OUT OC_BN_WORD *Result,
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IN OC_BN_NUM_WORDS NumWords,
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IN CONST OC_BN_WORD *A,
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IN UINT32 B,
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IN CONST OC_BN_WORD *N,
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IN OC_BN_WORD N0Inv,
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IN CONST OC_BN_WORD *RSqrMod
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);
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#endif // BIG_NUM_LIB_H
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