mirror of https://github.com/openssl/openssl.git
				
				
				
			
		
			
				
	
	
		
			82 lines
		
	
	
		
			2.3 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
			
		
		
	
	
			82 lines
		
	
	
		
			2.3 KiB
		
	
	
	
		
			Plaintext
		
	
	
	
| =pod
 | |
| 
 | |
| =head1 NAME
 | |
| 
 | |
| BN_mod_mul_reciprocal, BN_RECP_CTX_new, BN_RECP_CTX_init,
 | |
| BN_RECP_CTX_free, BN_RECP_CTX_set - modular multiplication using
 | |
| reciprocal
 | |
| 
 | |
| =head1 SYNOPSIS
 | |
| 
 | |
|  #include <openssl/bn.h>
 | |
| 
 | |
|  BN_RECP_CTX *BN_RECP_CTX_new(void);
 | |
|  void BN_RECP_CTX_init(BN_RECP_CTX *recp);
 | |
|  void BN_RECP_CTX_free(BN_RECP_CTX *recp);
 | |
| 
 | |
|  int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *m, BN_CTX *ctx);
 | |
| 
 | |
|  int BN_div_recp(BIGNUM *dv, BIGNUM *rem, BIGNUM *a, BN_RECP_CTX *recp,
 | |
|         BN_CTX *ctx);
 | |
| 
 | |
|  int BN_mod_mul_reciprocal(BIGNUM *r, BIGNUM *a, BIGNUM *b,
 | |
|         BN_RECP_CTX *recp, BN_CTX *ctx);
 | |
| 
 | |
| =head1 DESCRIPTION
 | |
| 
 | |
| BN_mod_mul_reciprocal() can be used to perform an efficient
 | |
| L<BN_mod_mul(3)|BN_mod_mul(3)> operation when the operation will be performed
 | |
| repeatedly with the same modulus. It computes B<r>=(B<a>*B<b>)%B<m>
 | |
| using B<recp>=1/B<m>, which is set as described below.  B<ctx> is a
 | |
| previously allocated B<BN_CTX> used for temporary variables.
 | |
| 
 | |
| BN_RECP_CTX_new() allocates and initializes a B<BN_RECP> structure.
 | |
| BN_RECP_CTX_init() initializes an existing uninitialized B<BN_RECP>.
 | |
| 
 | |
| BN_RECP_CTX_free() frees the components of the B<BN_RECP>, and, if it
 | |
| was created by BN_RECP_CTX_new(), also the structure itself.
 | |
| 
 | |
| BN_RECP_CTX_set() stores B<m> in B<recp> and sets it up for computing
 | |
| 1/B<m> and shifting it left by BN_num_bits(B<m>)+1 to make it an
 | |
| integer. The result and the number of bits it was shifted left will
 | |
| later be stored in B<recp>.
 | |
| 
 | |
| BN_div_recp() divides B<a> by B<m> using B<recp>. It places the quotient
 | |
| in B<dv> and the remainder in B<rem>.
 | |
| 
 | |
| The B<BN_RECP_CTX> structure is defined as follows:
 | |
| 
 | |
|  typedef struct bn_recp_ctx_st
 | |
| 	{
 | |
| 	BIGNUM N;	/* the divisor */
 | |
| 	BIGNUM Nr;	/* the reciprocal */
 | |
| 	int num_bits;
 | |
| 	int shift;
 | |
| 	int flags;
 | |
| 	} BN_RECP_CTX;
 | |
| 
 | |
| It cannot be shared between threads.
 | |
| 
 | |
| =head1 RETURN VALUES
 | |
| 
 | |
| BN_RECP_CTX_new() returns the newly allocated B<BN_RECP_CTX>, and NULL
 | |
| on error.
 | |
| 
 | |
| BN_RECP_CTX_init() and BN_RECP_CTX_free() have no return values.
 | |
| 
 | |
| For the other functions, 1 is returned for success, 0 on error.
 | |
| The error codes can be obtained by L<ERR_get_error(3)|ERR_get_error(3)>.
 | |
| 
 | |
| =head1 SEE ALSO
 | |
| 
 | |
| L<bn(3)|bn(3)>, L<err(3)|err(3)>, L<BN_add(3)|BN_add(3)>,
 | |
| L<BN_CTX_new(3)|BN_CTX_new(3)>
 | |
| 
 | |
| =head1 HISTORY
 | |
| 
 | |
| B<BN_RECP_CTX> was added in SSLeay 0.9.0. Before that, the function
 | |
| BN_reciprocal() was used instead, and the BN_mod_mul_reciprocal()
 | |
| arguments were different.
 | |
| 
 | |
| =cut
 |