BN_mod_mul_reciprocal.3ossl 4.1 KB

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  57. .IX Title "BN_MOD_MUL_RECIPROCAL 3ossl"
  58. .TH BN_MOD_MUL_RECIPROCAL 3ossl 2025-01-17 3.4.0 OpenSSL
  59. .\" For nroff, turn off justification. Always turn off hyphenation; it makes
  60. .\" way too many mistakes in technical documents.
  61. .if n .ad l
  62. .nh
  63. .SH NAME
  64. BN_mod_mul_reciprocal, BN_div_recp, BN_RECP_CTX_new,
  65. BN_RECP_CTX_free, BN_RECP_CTX_set \- modular multiplication using
  66. reciprocal
  67. .SH SYNOPSIS
  68. .IX Header "SYNOPSIS"
  69. .Vb 1
  70. \& #include <openssl/bn.h>
  71. \&
  72. \& BN_RECP_CTX *BN_RECP_CTX_new(void);
  73. \& void BN_RECP_CTX_free(BN_RECP_CTX *recp);
  74. \&
  75. \& int BN_RECP_CTX_set(BN_RECP_CTX *recp, const BIGNUM *m, BN_CTX *ctx);
  76. \&
  77. \& int BN_div_recp(BIGNUM *dv, BIGNUM *rem, const BIGNUM *a, BN_RECP_CTX *recp,
  78. \& BN_CTX *ctx);
  79. \&
  80. \& int BN_mod_mul_reciprocal(BIGNUM *r, const BIGNUM *a, const BIGNUM *b,
  81. \& BN_RECP_CTX *recp, BN_CTX *ctx);
  82. .Ve
  83. .SH DESCRIPTION
  84. .IX Header "DESCRIPTION"
  85. \&\fBBN_mod_mul_reciprocal()\fR can be used to perform an efficient
  86. \&\fBBN_mod_mul\fR\|(3) operation when the operation will be performed
  87. repeatedly with the same modulus. It computes \fBr\fR=(\fBa\fR*\fBb\fR)%\fBm\fR
  88. using \fBrecp\fR=1/\fBm\fR, which is set as described below. \fBctx\fR is a
  89. previously allocated \fBBN_CTX\fR used for temporary variables.
  90. .PP
  91. \&\fBBN_RECP_CTX_new()\fR allocates and initializes a \fBBN_RECP\fR structure.
  92. .PP
  93. \&\fBBN_RECP_CTX_free()\fR frees the components of the \fBBN_RECP\fR, and, if it
  94. was created by \fBBN_RECP_CTX_new()\fR, also the structure itself.
  95. If \fBrecp\fR is NULL, nothing is done.
  96. .PP
  97. \&\fBBN_RECP_CTX_set()\fR stores \fBm\fR in \fBrecp\fR and sets it up for computing
  98. 1/\fBm\fR and shifting it left by BN_num_bits(\fBm\fR)+1 to make it an
  99. integer. The result and the number of bits it was shifted left will
  100. later be stored in \fBrecp\fR.
  101. .PP
  102. \&\fBBN_div_recp()\fR divides \fBa\fR by \fBm\fR using \fBrecp\fR. It places the quotient
  103. in \fBdv\fR and the remainder in \fBrem\fR.
  104. .PP
  105. The \fBBN_RECP_CTX\fR structure cannot be shared between threads.
  106. .SH "RETURN VALUES"
  107. .IX Header "RETURN VALUES"
  108. \&\fBBN_RECP_CTX_new()\fR returns the newly allocated \fBBN_RECP_CTX\fR, and NULL
  109. on error.
  110. .PP
  111. \&\fBBN_RECP_CTX_free()\fR has no return value.
  112. .PP
  113. For the other functions, 1 is returned for success, 0 on error.
  114. The error codes can be obtained by \fBERR_get_error\fR\|(3).
  115. .SH "SEE ALSO"
  116. .IX Header "SEE ALSO"
  117. \&\fBERR_get_error\fR\|(3), \fBBN_add\fR\|(3),
  118. \&\fBBN_CTX_new\fR\|(3)
  119. .SH HISTORY
  120. .IX Header "HISTORY"
  121. \&\fBBN_RECP_CTX_init()\fR was removed in OpenSSL 1.1.0
  122. .SH COPYRIGHT
  123. .IX Header "COPYRIGHT"
  124. Copyright 2000\-2017 The OpenSSL Project Authors. All Rights Reserved.
  125. .PP
  126. Licensed under the Apache License 2.0 (the "License"). You may not use
  127. this file except in compliance with the License. You can obtain a copy
  128. in the file LICENSE in the source distribution or at
  129. <https://www.openssl.org/source/license.html>.