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Diffstat (limited to 'secure/lib/libcrypto/man/BN_mod_mul_montgomery.3')
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diff --git a/secure/lib/libcrypto/man/BN_mod_mul_montgomery.3 b/secure/lib/libcrypto/man/BN_mod_mul_montgomery.3 new file mode 100644 index 0000000..b3fd7c8 --- /dev/null +++ b/secure/lib/libcrypto/man/BN_mod_mul_montgomery.3 @@ -0,0 +1,236 @@ +.\" Automatically generated by Pod::Man v1.37, Pod::Parser v1.14 +.\" +.\" Standard preamble: +.\" ======================================================================== +.de Sh \" Subsection heading +.br +.if t .Sp +.ne 5 +.PP +\fB\\$1\fR +.PP +.. +.de Sp \" Vertical space (when we can't use .PP) +.if t .sp .5v +.if n .sp +.. +.de Vb \" Begin verbatim text +.ft CW +.nf +.ne \\$1 +.. +.de Ve \" End verbatim text +.ft R +.fi +.. +.\" Set up some character translations and predefined strings. \*(-- will +.\" give an unbreakable dash, \*(PI will give pi, \*(L" will give a left +.\" double quote, and \*(R" will give a right double quote. | will give a +.\" real vertical bar. \*(C+ will give a nicer C++. Capital omega is used to +.\" do unbreakable dashes and therefore won't be available. \*(C` and \*(C' +.\" expand to `' in nroff, nothing in troff, for use with C<>. +.tr \(*W-|\(bv\*(Tr +.ds C+ C\v'-.1v'\h'-1p'\s-2+\h'-1p'+\s0\v'.1v'\h'-1p' +.ie n \{\ +. ds -- \(*W- +. ds PI pi +. if (\n(.H=4u)&(1m=24u) .ds -- \(*W\h'-12u'\(*W\h'-12u'-\" diablo 10 pitch +. if (\n(.H=4u)&(1m=20u) .ds -- \(*W\h'-12u'\(*W\h'-8u'-\" diablo 12 pitch +. ds L" "" +. ds R" "" +. ds C` "" +. ds C' "" +'br\} +.el\{\ +. ds -- \|\(em\| +. ds PI \(*p +. ds L" `` +. ds R" '' +'br\} +.\" +.\" If the F register is turned on, we'll generate index entries on stderr for +.\" titles (.TH), headers (.SH), subsections (.Sh), items (.Ip), and index +.\" entries marked with X<> in POD. Of course, you'll have to process the +.\" output yourself in some meaningful fashion. +.if \nF \{\ +. de IX +. tm Index:\\$1\t\\n%\t"\\$2" +.. +. nr % 0 +. rr F +.\} +.\" +.\" For nroff, turn off justification. 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They are used +automatically when \fIBN_mod_exp\fR\|(3) is called with suitable input, +but they may be useful when several operations are to be performed +using the same modulus. +.PP +\&\fIBN_MONT_CTX_new()\fR allocates and initializes a \fB\s-1BN_MONT_CTX\s0\fR structure. +\&\fIBN_MONT_CTX_init()\fR initializes an existing uninitialized \fB\s-1BN_MONT_CTX\s0\fR. +.PP +\&\fIBN_MONT_CTX_set()\fR sets up the \fImont\fR structure from the modulus \fIm\fR +by precomputing its inverse and a value R. +.PP +\&\fIBN_MONT_CTX_copy()\fR copies the \fB\s-1BN_MONT_CTX\s0\fR \fIfrom\fR to \fIto\fR. +.PP +\&\fIBN_MONT_CTX_free()\fR frees the components of the \fB\s-1BN_MONT_CTX\s0\fR, and, if +it was created by \fIBN_MONT_CTX_new()\fR, also the structure itself. +.PP +\&\fIBN_mod_mul_montgomery()\fR computes Mont(\fIa\fR,\fIb\fR):=\fIa\fR*\fIb\fR*R^\-1 and places +the result in \fIr\fR. +.PP +\&\fIBN_from_montgomery()\fR performs the Montgomery reduction \fIr\fR = \fIa\fR*R^\-1. +.PP +\&\fIBN_to_montgomery()\fR computes Mont(\fIa\fR,R^2), i.e. \fIa\fR*R. +Note that \fIa\fR must be non-negative and smaller than the modulus. +.PP +For all functions, \fIctx\fR is a previously allocated \fB\s-1BN_CTX\s0\fR used for +temporary variables. +.PP +The \fB\s-1BN_MONT_CTX\s0\fR structure is defined as follows: +.PP +.Vb 10 +\& typedef struct bn_mont_ctx_st +\& { +\& int ri; /* number of bits in R */ +\& BIGNUM RR; /* R^2 (used to convert to Montgomery form) */ +\& BIGNUM N; /* The modulus */ +\& BIGNUM Ni; /* R*(1/R mod N) - N*Ni = 1 +\& * (Ni is only stored for bignum algorithm) */ +\& BN_ULONG n0; /* least significant word of Ni */ +\& int flags; +\& } BN_MONT_CTX; +.Ve +.PP +\&\fIBN_to_montgomery()\fR is a macro. +.SH "RETURN VALUES" +.IX Header "RETURN VALUES" +\&\fIBN_MONT_CTX_new()\fR returns the newly allocated \fB\s-1BN_MONT_CTX\s0\fR, and \s-1NULL\s0 +on error. +.PP +\&\fIBN_MONT_CTX_init()\fR and \fIBN_MONT_CTX_free()\fR have no return values. +.PP +For the other functions, 1 is returned for success, 0 on error. +The error codes can be obtained by \fIERR_get_error\fR\|(3). +.SH "WARNING" +.IX Header "WARNING" +The inputs must be reduced modulo \fBm\fR, otherwise the result will be +outside the expected range. +.SH "SEE ALSO" +.IX Header "SEE ALSO" +\&\fIbn\fR\|(3), \fIERR_get_error\fR\|(3), \fIBN_add\fR\|(3), +\&\fIBN_CTX_new\fR\|(3) +.SH "HISTORY" +.IX Header "HISTORY" +\&\fIBN_MONT_CTX_new()\fR, \fIBN_MONT_CTX_free()\fR, \fIBN_MONT_CTX_set()\fR, +\&\fIBN_mod_mul_montgomery()\fR, \fIBN_from_montgomery()\fR and \fIBN_to_montgomery()\fR +are available in all versions of SSLeay and OpenSSL. +.PP +\&\fIBN_MONT_CTX_init()\fR and \fIBN_MONT_CTX_copy()\fR were added in SSLeay 0.9.1b. |
