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<p>Multi-precision integer library.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include "<a class="el" href="config_8h_source.html">config.h</a>"</code><br />
<code>#include <stddef.h></code><br />
<code>#include <stdint.h></code><br />
<code>#include <stdio.h></code><br />
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Data Structures</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">MPI structure. <a href="structmbedtls__mpi.html#details">More...</a><br /></td></tr>
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Macros</h2></td></tr>
<tr class="memitem:a5ba505f058780047978dcdafd50d0b1e"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a5ba505f058780047978dcdafd50d0b1e">MBEDTLS_ERR_MPI_FILE_IO_ERROR</a>   -0x0002</td></tr>
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<tr class="memitem:a3989a97b1d92d04dd05242731e6f37f2"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a3989a97b1d92d04dd05242731e6f37f2">MBEDTLS_ERR_MPI_BAD_INPUT_DATA</a>   -0x0004</td></tr>
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<tr class="memitem:a0ef495d9a083d986f00e5f604126382f"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a0ef495d9a083d986f00e5f604126382f">MBEDTLS_ERR_MPI_INVALID_CHARACTER</a>   -0x0006</td></tr>
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<tr class="memitem:a7fc9b9c20686c88b949d0a35c0def909"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a7fc9b9c20686c88b949d0a35c0def909">MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL</a>   -0x0008</td></tr>
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<tr class="memitem:ab7f06e7dfde557a02fe7137d4d47eed3"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#ab7f06e7dfde557a02fe7137d4d47eed3">MBEDTLS_ERR_MPI_NEGATIVE_VALUE</a>   -0x000A</td></tr>
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<tr class="memitem:a97e2c5a552770757da26b4a9b2e56f6c"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a97e2c5a552770757da26b4a9b2e56f6c">MBEDTLS_ERR_MPI_DIVISION_BY_ZERO</a>   -0x000C</td></tr>
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<tr class="memitem:a24f0dfbee8599f6e72852247d5681503"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a24f0dfbee8599f6e72852247d5681503">MBEDTLS_ERR_MPI_NOT_ACCEPTABLE</a>   -0x000E</td></tr>
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<tr class="memitem:a9bb66b22357ba30dedfe856efeab5544"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a9bb66b22357ba30dedfe856efeab5544">MBEDTLS_ERR_MPI_ALLOC_FAILED</a>   -0x0010</td></tr>
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<tr class="memitem:ab0a21d28acd6b59cc60a45547e2412af"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#ab0a21d28acd6b59cc60a45547e2412af">MBEDTLS_MPI_CHK</a>(f)   do { if( ( ret = f ) != 0 ) goto cleanup; } while( 0 )</td></tr>
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<tr class="memitem:a50617c9e123096b168d65a9d957b2ebe"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a50617c9e123096b168d65a9d957b2ebe">MBEDTLS_MPI_MAX_LIMBS</a>   10000</td></tr>
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<tr class="memitem:a7cec1de79c434f1053488b1d3b9454c4"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a7cec1de79c434f1053488b1d3b9454c4">MBEDTLS_MPI_WINDOW_SIZE</a>   6</td></tr>
<tr class="separator:a7cec1de79c434f1053488b1d3b9454c4"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a02bfffc46b7b2e10c0080d29bb56e6b0"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a02bfffc46b7b2e10c0080d29bb56e6b0">MBEDTLS_MPI_MAX_SIZE</a>   1024</td></tr>
<tr class="separator:a02bfffc46b7b2e10c0080d29bb56e6b0"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a134ba62182ca105e273d465861f5a4d5"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a134ba62182ca105e273d465861f5a4d5">MBEDTLS_MPI_MAX_BITS</a>   ( 8 * <a class="el" href="bignum_8h.html#a02bfffc46b7b2e10c0080d29bb56e6b0">MBEDTLS_MPI_MAX_SIZE</a> )</td></tr>
<tr class="separator:a134ba62182ca105e273d465861f5a4d5"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a5e807323a5823be0f1e7eef38dce9cb0"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a5e807323a5823be0f1e7eef38dce9cb0">MBEDTLS_MPI_MAX_BITS_SCALE100</a>   ( 100 * <a class="el" href="bignum_8h.html#a134ba62182ca105e273d465861f5a4d5">MBEDTLS_MPI_MAX_BITS</a> )</td></tr>
<tr class="separator:a5e807323a5823be0f1e7eef38dce9cb0"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a844008ccbe6672f636d250230755d5ee"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a844008ccbe6672f636d250230755d5ee">MBEDTLS_LN_2_DIV_LN_10_SCALE100</a>   332</td></tr>
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<tr class="memitem:a95aa572170385895daf25b70c6f0d63f"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a95aa572170385895daf25b70c6f0d63f">MBEDTLS_MPI_RW_BUFFER_SIZE</a>   ( ((<a class="el" href="bignum_8h.html#a5e807323a5823be0f1e7eef38dce9cb0">MBEDTLS_MPI_MAX_BITS_SCALE100</a> + <a class="el" href="bignum_8h.html#a844008ccbe6672f636d250230755d5ee">MBEDTLS_LN_2_DIV_LN_10_SCALE100</a> - 1) / <a class="el" href="bignum_8h.html#a844008ccbe6672f636d250230755d5ee">MBEDTLS_LN_2_DIV_LN_10_SCALE100</a>) + 10 + 6 )</td></tr>
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<tr class="memitem:ae9ed748679544c60d2b429ee2bc93818"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#ae9ed748679544c60d2b429ee2bc93818">MBEDTLS_HAVE_INT32</a></td></tr>
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<tr class="memitem:ae1ace2caabfb2c45a1dab0a8f0bd6b66"><td class="memItemLeft" align="right" valign="top">#define </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#ae1ace2caabfb2c45a1dab0a8f0bd6b66">MBEDTLS_HAVE_UDBL</a></td></tr>
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Typedefs</h2></td></tr>
<tr class="memitem:a831621e03bb6892a866c36673644612e"><td class="memItemLeft" align="right" valign="top">typedef int32_t </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a831621e03bb6892a866c36673644612e">mbedtls_mpi_sint</a></td></tr>
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<tr class="memitem:ae5f62e04027ff6e12397b3e94c3912cd"><td class="memItemLeft" align="right" valign="top">typedef uint32_t </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#ae5f62e04027ff6e12397b3e94c3912cd">mbedtls_mpi_uint</a></td></tr>
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<tr class="memitem:af64c95417575870c4f465c0a663fb51b"><td class="memItemLeft" align="right" valign="top">typedef uint64_t </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#af64c95417575870c4f465c0a663fb51b">mbedtls_t_udbl</a></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a99c7cca612b47dc4f3b96905c4f9d69e"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a99c7cca612b47dc4f3b96905c4f9d69e">mbedtls_mpi_init</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X)</td></tr>
<tr class="memdesc:a99c7cca612b47dc4f3b96905c4f9d69e"><td class="mdescLeft"> </td><td class="mdescRight">Initialize one MPI (make internal references valid) This just makes it ready to be set or freed, but does not define a value for the MPI. <a href="#a99c7cca612b47dc4f3b96905c4f9d69e">More...</a><br /></td></tr>
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<tr class="memitem:abffd5d8382cb86c089a1ef2bebb90f9f"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#abffd5d8382cb86c089a1ef2bebb90f9f">mbedtls_mpi_free</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X)</td></tr>
<tr class="memdesc:abffd5d8382cb86c089a1ef2bebb90f9f"><td class="mdescLeft"> </td><td class="mdescRight">Unallocate one MPI. <a href="#abffd5d8382cb86c089a1ef2bebb90f9f">More...</a><br /></td></tr>
<tr class="separator:abffd5d8382cb86c089a1ef2bebb90f9f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a22263d90d838cb58f271aa8f1920843d"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a22263d90d838cb58f271aa8f1920843d">mbedtls_mpi_grow</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, size_t nblimbs)</td></tr>
<tr class="memdesc:a22263d90d838cb58f271aa8f1920843d"><td class="mdescLeft"> </td><td class="mdescRight">Enlarge to the specified number of limbs. <a href="#a22263d90d838cb58f271aa8f1920843d">More...</a><br /></td></tr>
<tr class="separator:a22263d90d838cb58f271aa8f1920843d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:abaaef229c95711a53b2f38eff0a2c14a"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#abaaef229c95711a53b2f38eff0a2c14a">mbedtls_mpi_shrink</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, size_t nblimbs)</td></tr>
<tr class="memdesc:abaaef229c95711a53b2f38eff0a2c14a"><td class="mdescLeft"> </td><td class="mdescRight">Resize down, keeping at least the specified number of limbs. <a href="#abaaef229c95711a53b2f38eff0a2c14a">More...</a><br /></td></tr>
<tr class="separator:abaaef229c95711a53b2f38eff0a2c14a"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a2f722863f9fd9098690f8a9db9962044"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a2f722863f9fd9098690f8a9db9962044">mbedtls_mpi_copy</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *Y)</td></tr>
<tr class="memdesc:a2f722863f9fd9098690f8a9db9962044"><td class="mdescLeft"> </td><td class="mdescRight">Copy the contents of Y into X. <a href="#a2f722863f9fd9098690f8a9db9962044">More...</a><br /></td></tr>
<tr class="separator:a2f722863f9fd9098690f8a9db9962044"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a60d0c82301d6cf50e69808b6a3c5cd63"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a60d0c82301d6cf50e69808b6a3c5cd63">mbedtls_mpi_swap</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *Y)</td></tr>
<tr class="memdesc:a60d0c82301d6cf50e69808b6a3c5cd63"><td class="mdescLeft"> </td><td class="mdescRight">Swap the contents of X and Y. <a href="#a60d0c82301d6cf50e69808b6a3c5cd63">More...</a><br /></td></tr>
<tr class="separator:a60d0c82301d6cf50e69808b6a3c5cd63"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a623c565706f22d8fbcc665ba49a51c7c"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a623c565706f22d8fbcc665ba49a51c7c">mbedtls_mpi_safe_cond_assign</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *Y, unsigned char assign)</td></tr>
<tr class="memdesc:a623c565706f22d8fbcc665ba49a51c7c"><td class="mdescLeft"> </td><td class="mdescRight">Safe conditional assignement X = Y if assign is 1. <a href="#a623c565706f22d8fbcc665ba49a51c7c">More...</a><br /></td></tr>
<tr class="separator:a623c565706f22d8fbcc665ba49a51c7c"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a956c54f87d26ceb6da98043805e67684"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a956c54f87d26ceb6da98043805e67684">mbedtls_mpi_safe_cond_swap</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *Y, unsigned char assign)</td></tr>
<tr class="memdesc:a956c54f87d26ceb6da98043805e67684"><td class="mdescLeft"> </td><td class="mdescRight">Safe conditional swap X <-> Y if swap is 1. <a href="#a956c54f87d26ceb6da98043805e67684">More...</a><br /></td></tr>
<tr class="separator:a956c54f87d26ceb6da98043805e67684"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a65644d139404325130491759a5651f6d"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a65644d139404325130491759a5651f6d">mbedtls_mpi_lset</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, <a class="el" href="bignum_8h.html#a831621e03bb6892a866c36673644612e">mbedtls_mpi_sint</a> z)</td></tr>
<tr class="memdesc:a65644d139404325130491759a5651f6d"><td class="mdescLeft"> </td><td class="mdescRight">Set value from integer. <a href="#a65644d139404325130491759a5651f6d">More...</a><br /></td></tr>
<tr class="separator:a65644d139404325130491759a5651f6d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:abfc40fb7192507bc0eeb9f24e8e69c2d"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#abfc40fb7192507bc0eeb9f24e8e69c2d">mbedtls_mpi_get_bit</a> (const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, size_t pos)</td></tr>
<tr class="memdesc:abfc40fb7192507bc0eeb9f24e8e69c2d"><td class="mdescLeft"> </td><td class="mdescRight">Get a specific bit from X. <a href="#abfc40fb7192507bc0eeb9f24e8e69c2d">More...</a><br /></td></tr>
<tr class="separator:abfc40fb7192507bc0eeb9f24e8e69c2d"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a39a475e7957e7a60993fc6e801d9913b"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a39a475e7957e7a60993fc6e801d9913b">mbedtls_mpi_set_bit</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, size_t pos, unsigned char val)</td></tr>
<tr class="memdesc:a39a475e7957e7a60993fc6e801d9913b"><td class="mdescLeft"> </td><td class="mdescRight">Set a bit of X to a specific value of 0 or 1. <a href="#a39a475e7957e7a60993fc6e801d9913b">More...</a><br /></td></tr>
<tr class="separator:a39a475e7957e7a60993fc6e801d9913b"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aa67117fd61db9570746dc2ffca88d004"><td class="memItemLeft" align="right" valign="top">size_t </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#aa67117fd61db9570746dc2ffca88d004">mbedtls_mpi_lsb</a> (const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X)</td></tr>
<tr class="memdesc:aa67117fd61db9570746dc2ffca88d004"><td class="mdescLeft"> </td><td class="mdescRight">Return the number of zero-bits before the least significant '1' bit. <a href="#aa67117fd61db9570746dc2ffca88d004">More...</a><br /></td></tr>
<tr class="separator:aa67117fd61db9570746dc2ffca88d004"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a681ab2710d044c0cb091b6497c6ed395"><td class="memItemLeft" align="right" valign="top">size_t </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a681ab2710d044c0cb091b6497c6ed395">mbedtls_mpi_bitlen</a> (const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X)</td></tr>
<tr class="memdesc:a681ab2710d044c0cb091b6497c6ed395"><td class="mdescLeft"> </td><td class="mdescRight">Return the number of bits up to and including the most significant '1' bit'. <a href="#a681ab2710d044c0cb091b6497c6ed395">More...</a><br /></td></tr>
<tr class="separator:a681ab2710d044c0cb091b6497c6ed395"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a538110c9da02704d34d67a07d16fb3ab"><td class="memItemLeft" align="right" valign="top">size_t </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a538110c9da02704d34d67a07d16fb3ab">mbedtls_mpi_size</a> (const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X)</td></tr>
<tr class="memdesc:a538110c9da02704d34d67a07d16fb3ab"><td class="mdescLeft"> </td><td class="mdescRight">Return the total size in bytes. <a href="#a538110c9da02704d34d67a07d16fb3ab">More...</a><br /></td></tr>
<tr class="separator:a538110c9da02704d34d67a07d16fb3ab"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a15efd3f2f86700b69f6c18d34ac05758"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a15efd3f2f86700b69f6c18d34ac05758">mbedtls_mpi_read_string</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, int radix, const char *s)</td></tr>
<tr class="memdesc:a15efd3f2f86700b69f6c18d34ac05758"><td class="mdescLeft"> </td><td class="mdescRight">Import from an ASCII string. <a href="#a15efd3f2f86700b69f6c18d34ac05758">More...</a><br /></td></tr>
<tr class="separator:a15efd3f2f86700b69f6c18d34ac05758"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ab2197e4833449c3e505ec8d11b348913"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#ab2197e4833449c3e505ec8d11b348913">mbedtls_mpi_write_string</a> (const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, int radix, char *buf, size_t buflen, size_t *olen)</td></tr>
<tr class="memdesc:ab2197e4833449c3e505ec8d11b348913"><td class="mdescLeft"> </td><td class="mdescRight">Export into an ASCII string. <a href="#ab2197e4833449c3e505ec8d11b348913">More...</a><br /></td></tr>
<tr class="separator:ab2197e4833449c3e505ec8d11b348913"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:acb4d0ed28a946cfa83219ae8709941d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#acb4d0ed28a946cfa83219ae8709941d4">mbedtls_mpi_read_file</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, int radix, FILE *fin)</td></tr>
<tr class="memdesc:acb4d0ed28a946cfa83219ae8709941d4"><td class="mdescLeft"> </td><td class="mdescRight">Read MPI from a line in an opened file. <a href="#acb4d0ed28a946cfa83219ae8709941d4">More...</a><br /></td></tr>
<tr class="separator:acb4d0ed28a946cfa83219ae8709941d4"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ab23e312f4a0479c8b63a4bc9328e1324"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#ab23e312f4a0479c8b63a4bc9328e1324">mbedtls_mpi_write_file</a> (const char *p, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, int radix, FILE *fout)</td></tr>
<tr class="memdesc:ab23e312f4a0479c8b63a4bc9328e1324"><td class="mdescLeft"> </td><td class="mdescRight">Write X into an opened file, or stdout if fout is NULL. <a href="#ab23e312f4a0479c8b63a4bc9328e1324">More...</a><br /></td></tr>
<tr class="separator:ab23e312f4a0479c8b63a4bc9328e1324"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a68f62c99e53eb034daea486e5d5d83ca"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a68f62c99e53eb034daea486e5d5d83ca">mbedtls_mpi_read_binary</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, const unsigned char *buf, size_t buflen)</td></tr>
<tr class="memdesc:a68f62c99e53eb034daea486e5d5d83ca"><td class="mdescLeft"> </td><td class="mdescRight">Import X from unsigned binary data, big endian. <a href="#a68f62c99e53eb034daea486e5d5d83ca">More...</a><br /></td></tr>
<tr class="separator:a68f62c99e53eb034daea486e5d5d83ca"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aceb4aeeb376a582a5e904135205ada44"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#aceb4aeeb376a582a5e904135205ada44">mbedtls_mpi_write_binary</a> (const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, unsigned char *buf, size_t buflen)</td></tr>
<tr class="memdesc:aceb4aeeb376a582a5e904135205ada44"><td class="mdescLeft"> </td><td class="mdescRight">Export X into unsigned binary data, big endian. Always fills the whole buffer, which will start with zeros if the number is smaller. <a href="#aceb4aeeb376a582a5e904135205ada44">More...</a><br /></td></tr>
<tr class="separator:aceb4aeeb376a582a5e904135205ada44"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a8d48a56155412dda56e67256be4d10d9"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a8d48a56155412dda56e67256be4d10d9">mbedtls_mpi_shift_l</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, size_t count)</td></tr>
<tr class="memdesc:a8d48a56155412dda56e67256be4d10d9"><td class="mdescLeft"> </td><td class="mdescRight">Left-shift: X <<= count. <a href="#a8d48a56155412dda56e67256be4d10d9">More...</a><br /></td></tr>
<tr class="separator:a8d48a56155412dda56e67256be4d10d9"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aee1140147b1e807645cebf64ebded168"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#aee1140147b1e807645cebf64ebded168">mbedtls_mpi_shift_r</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, size_t count)</td></tr>
<tr class="memdesc:aee1140147b1e807645cebf64ebded168"><td class="mdescLeft"> </td><td class="mdescRight">Right-shift: X >>= count. <a href="#aee1140147b1e807645cebf64ebded168">More...</a><br /></td></tr>
<tr class="separator:aee1140147b1e807645cebf64ebded168"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a81ea45be21ea77f5d8deae9e99d9a11b"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a81ea45be21ea77f5d8deae9e99d9a11b">mbedtls_mpi_cmp_abs</a> (const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *Y)</td></tr>
<tr class="memdesc:a81ea45be21ea77f5d8deae9e99d9a11b"><td class="mdescLeft"> </td><td class="mdescRight">Compare unsigned values. <a href="#a81ea45be21ea77f5d8deae9e99d9a11b">More...</a><br /></td></tr>
<tr class="separator:a81ea45be21ea77f5d8deae9e99d9a11b"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a762dd8add46384d4935a4aecc125096e"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a762dd8add46384d4935a4aecc125096e">mbedtls_mpi_cmp_mpi</a> (const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *Y)</td></tr>
<tr class="memdesc:a762dd8add46384d4935a4aecc125096e"><td class="mdescLeft"> </td><td class="mdescRight">Compare signed values. <a href="#a762dd8add46384d4935a4aecc125096e">More...</a><br /></td></tr>
<tr class="separator:a762dd8add46384d4935a4aecc125096e"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ad0e7f426326afc7d3fde309a7a8d82fa"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#ad0e7f426326afc7d3fde309a7a8d82fa">mbedtls_mpi_cmp_int</a> (const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, <a class="el" href="bignum_8h.html#a831621e03bb6892a866c36673644612e">mbedtls_mpi_sint</a> z)</td></tr>
<tr class="memdesc:ad0e7f426326afc7d3fde309a7a8d82fa"><td class="mdescLeft"> </td><td class="mdescRight">Compare signed values. <a href="#ad0e7f426326afc7d3fde309a7a8d82fa">More...</a><br /></td></tr>
<tr class="separator:ad0e7f426326afc7d3fde309a7a8d82fa"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a5ddb2c6dc59dd39874695e04ff40afdb"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a5ddb2c6dc59dd39874695e04ff40afdb">mbedtls_mpi_add_abs</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *A, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *B)</td></tr>
<tr class="memdesc:a5ddb2c6dc59dd39874695e04ff40afdb"><td class="mdescLeft"> </td><td class="mdescRight">Unsigned addition: X = |A| + |B|. <a href="#a5ddb2c6dc59dd39874695e04ff40afdb">More...</a><br /></td></tr>
<tr class="separator:a5ddb2c6dc59dd39874695e04ff40afdb"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ad5840808639d50a98edbede345251293"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#ad5840808639d50a98edbede345251293">mbedtls_mpi_sub_abs</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *A, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *B)</td></tr>
<tr class="memdesc:ad5840808639d50a98edbede345251293"><td class="mdescLeft"> </td><td class="mdescRight">Unsigned subtraction: X = |A| - |B|. <a href="#ad5840808639d50a98edbede345251293">More...</a><br /></td></tr>
<tr class="separator:ad5840808639d50a98edbede345251293"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a5fd1cfd561c1ada500097f860aa4fe68"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a5fd1cfd561c1ada500097f860aa4fe68">mbedtls_mpi_add_mpi</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *A, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *B)</td></tr>
<tr class="memdesc:a5fd1cfd561c1ada500097f860aa4fe68"><td class="mdescLeft"> </td><td class="mdescRight">Signed addition: X = A + B. <a href="#a5fd1cfd561c1ada500097f860aa4fe68">More...</a><br /></td></tr>
<tr class="separator:a5fd1cfd561c1ada500097f860aa4fe68"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a1a38a8d9f5052491df94d8010bd34955"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a1a38a8d9f5052491df94d8010bd34955">mbedtls_mpi_sub_mpi</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *A, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *B)</td></tr>
<tr class="memdesc:a1a38a8d9f5052491df94d8010bd34955"><td class="mdescLeft"> </td><td class="mdescRight">Signed subtraction: X = A - B. <a href="#a1a38a8d9f5052491df94d8010bd34955">More...</a><br /></td></tr>
<tr class="separator:a1a38a8d9f5052491df94d8010bd34955"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a1e6f6ba90e3c73ce6022ed7354443b2a"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a1e6f6ba90e3c73ce6022ed7354443b2a">mbedtls_mpi_add_int</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *A, <a class="el" href="bignum_8h.html#a831621e03bb6892a866c36673644612e">mbedtls_mpi_sint</a> b)</td></tr>
<tr class="memdesc:a1e6f6ba90e3c73ce6022ed7354443b2a"><td class="mdescLeft"> </td><td class="mdescRight">Signed addition: X = A + b. <a href="#a1e6f6ba90e3c73ce6022ed7354443b2a">More...</a><br /></td></tr>
<tr class="separator:a1e6f6ba90e3c73ce6022ed7354443b2a"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a1a925403c039d920059297cfb4ad5bad"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a1a925403c039d920059297cfb4ad5bad">mbedtls_mpi_sub_int</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *A, <a class="el" href="bignum_8h.html#a831621e03bb6892a866c36673644612e">mbedtls_mpi_sint</a> b)</td></tr>
<tr class="memdesc:a1a925403c039d920059297cfb4ad5bad"><td class="mdescLeft"> </td><td class="mdescRight">Signed subtraction: X = A - b. <a href="#a1a925403c039d920059297cfb4ad5bad">More...</a><br /></td></tr>
<tr class="separator:a1a925403c039d920059297cfb4ad5bad"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aa9065cae8e3a287095b4043317f6b706"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#aa9065cae8e3a287095b4043317f6b706">mbedtls_mpi_mul_mpi</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *A, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *B)</td></tr>
<tr class="memdesc:aa9065cae8e3a287095b4043317f6b706"><td class="mdescLeft"> </td><td class="mdescRight">Baseline multiplication: X = A * B. <a href="#aa9065cae8e3a287095b4043317f6b706">More...</a><br /></td></tr>
<tr class="separator:aa9065cae8e3a287095b4043317f6b706"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ac4a22cb29f7e19dd4c823d1868f45eab"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#ac4a22cb29f7e19dd4c823d1868f45eab">mbedtls_mpi_mul_int</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *A, <a class="el" href="bignum_8h.html#ae5f62e04027ff6e12397b3e94c3912cd">mbedtls_mpi_uint</a> b)</td></tr>
<tr class="memdesc:ac4a22cb29f7e19dd4c823d1868f45eab"><td class="mdescLeft"> </td><td class="mdescRight">Baseline multiplication: X = A * b. <a href="#ac4a22cb29f7e19dd4c823d1868f45eab">More...</a><br /></td></tr>
<tr class="separator:ac4a22cb29f7e19dd4c823d1868f45eab"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a5f3db711e21b4fe2f1a009099478e796"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a5f3db711e21b4fe2f1a009099478e796">mbedtls_mpi_div_mpi</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *Q, <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *R, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *A, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *B)</td></tr>
<tr class="memdesc:a5f3db711e21b4fe2f1a009099478e796"><td class="mdescLeft"> </td><td class="mdescRight">Division by <a class="el" href="structmbedtls__mpi.html" title="MPI structure. ">mbedtls_mpi</a>: A = Q * B + R. <a href="#a5f3db711e21b4fe2f1a009099478e796">More...</a><br /></td></tr>
<tr class="separator:a5f3db711e21b4fe2f1a009099478e796"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a7ffac96dd27bbe62dba7c6307edd2c60"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a7ffac96dd27bbe62dba7c6307edd2c60">mbedtls_mpi_div_int</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *Q, <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *R, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *A, <a class="el" href="bignum_8h.html#a831621e03bb6892a866c36673644612e">mbedtls_mpi_sint</a> b)</td></tr>
<tr class="memdesc:a7ffac96dd27bbe62dba7c6307edd2c60"><td class="mdescLeft"> </td><td class="mdescRight">Division by int: A = Q * b + R. <a href="#a7ffac96dd27bbe62dba7c6307edd2c60">More...</a><br /></td></tr>
<tr class="separator:a7ffac96dd27bbe62dba7c6307edd2c60"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a7b9db15054cb320c69dd065d3f17e674"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a7b9db15054cb320c69dd065d3f17e674">mbedtls_mpi_mod_mpi</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *R, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *A, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *B)</td></tr>
<tr class="memdesc:a7b9db15054cb320c69dd065d3f17e674"><td class="mdescLeft"> </td><td class="mdescRight">Modulo: R = A mod B. <a href="#a7b9db15054cb320c69dd065d3f17e674">More...</a><br /></td></tr>
<tr class="separator:a7b9db15054cb320c69dd065d3f17e674"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a3d2a4a4c3d64490e26e05153ed798058"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a3d2a4a4c3d64490e26e05153ed798058">mbedtls_mpi_mod_int</a> (<a class="el" href="bignum_8h.html#ae5f62e04027ff6e12397b3e94c3912cd">mbedtls_mpi_uint</a> *r, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *A, <a class="el" href="bignum_8h.html#a831621e03bb6892a866c36673644612e">mbedtls_mpi_sint</a> b)</td></tr>
<tr class="memdesc:a3d2a4a4c3d64490e26e05153ed798058"><td class="mdescLeft"> </td><td class="mdescRight">Modulo: r = A mod b. <a href="#a3d2a4a4c3d64490e26e05153ed798058">More...</a><br /></td></tr>
<tr class="separator:a3d2a4a4c3d64490e26e05153ed798058"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:a55433a16c951178e2b98a01c6386239e"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a55433a16c951178e2b98a01c6386239e">mbedtls_mpi_exp_mod</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *A, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *E, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *N, <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *_RR)</td></tr>
<tr class="memdesc:a55433a16c951178e2b98a01c6386239e"><td class="mdescLeft"> </td><td class="mdescRight">Sliding-window exponentiation: X = A^E mod N. <a href="#a55433a16c951178e2b98a01c6386239e">More...</a><br /></td></tr>
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<tr class="memitem:a81b99c0a79d3e8ddedfd4a6ee37ceb1e"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a81b99c0a79d3e8ddedfd4a6ee37ceb1e">mbedtls_mpi_fill_random</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, size_t size, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)</td></tr>
<tr class="memdesc:a81b99c0a79d3e8ddedfd4a6ee37ceb1e"><td class="mdescLeft"> </td><td class="mdescRight">Fill an MPI X with size bytes of random. <a href="#a81b99c0a79d3e8ddedfd4a6ee37ceb1e">More...</a><br /></td></tr>
<tr class="separator:a81b99c0a79d3e8ddedfd4a6ee37ceb1e"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:aeebcfa54676b583d2e767b1c01c9844f"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#aeebcfa54676b583d2e767b1c01c9844f">mbedtls_mpi_gcd</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *G, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *A, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *B)</td></tr>
<tr class="memdesc:aeebcfa54676b583d2e767b1c01c9844f"><td class="mdescLeft"> </td><td class="mdescRight">Greatest common divisor: G = gcd(A, B) <a href="#aeebcfa54676b583d2e767b1c01c9844f">More...</a><br /></td></tr>
<tr class="separator:aeebcfa54676b583d2e767b1c01c9844f"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:abb720bf24bc902fe6edd2ce0cd9ce6e3"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#abb720bf24bc902fe6edd2ce0cd9ce6e3">mbedtls_mpi_inv_mod</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *A, const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *N)</td></tr>
<tr class="memdesc:abb720bf24bc902fe6edd2ce0cd9ce6e3"><td class="mdescLeft"> </td><td class="mdescRight">Modular inverse: X = A^-1 mod N. <a href="#abb720bf24bc902fe6edd2ce0cd9ce6e3">More...</a><br /></td></tr>
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<tr class="memitem:a5e5d03e6e1758bf871d23c96f7b91394"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a5e5d03e6e1758bf871d23c96f7b91394">mbedtls_mpi_is_prime</a> (const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)</td></tr>
<tr class="memdesc:a5e5d03e6e1758bf871d23c96f7b91394"><td class="mdescLeft"> </td><td class="mdescRight">Miller-Rabin primality test. <a href="#a5e5d03e6e1758bf871d23c96f7b91394">More...</a><br /></td></tr>
<tr class="separator:a5e5d03e6e1758bf871d23c96f7b91394"><td class="memSeparator" colspan="2"> </td></tr>
<tr class="memitem:ad1267890b0187b0a73ce0e7ce4ab4929"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#ad1267890b0187b0a73ce0e7ce4ab4929">mbedtls_mpi_gen_prime</a> (<a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> *X, size_t nbits, int dh_flag, int(*f_rng)(void *, unsigned char *, size_t), void *p_rng)</td></tr>
<tr class="memdesc:ad1267890b0187b0a73ce0e7ce4ab4929"><td class="mdescLeft"> </td><td class="mdescRight">Prime number generation. <a href="#ad1267890b0187b0a73ce0e7ce4ab4929">More...</a><br /></td></tr>
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<tr class="memitem:a75b6f4376bdceb63ef5a65737c1a638c"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="bignum_8h.html#a75b6f4376bdceb63ef5a65737c1a638c">mbedtls_mpi_self_test</a> (int verbose)</td></tr>
<tr class="memdesc:a75b6f4376bdceb63ef5a65737c1a638c"><td class="mdescLeft"> </td><td class="mdescRight">Checkup routine. <a href="#a75b6f4376bdceb63ef5a65737c1a638c">More...</a><br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Multi-precision integer library. </p>
<p class="definition">Definition in file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
</div><h2 class="groupheader">Macro Definition Documentation</h2>
<a id="a9bb66b22357ba30dedfe856efeab5544"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a9bb66b22357ba30dedfe856efeab5544">◆ </a></span>MBEDTLS_ERR_MPI_ALLOC_FAILED</h2>
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<td class="memname">#define MBEDTLS_ERR_MPI_ALLOC_FAILED   -0x0010</td>
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<p>Memory allocation failed. </p>
<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00047">47</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<a id="a3989a97b1d92d04dd05242731e6f37f2"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a3989a97b1d92d04dd05242731e6f37f2">◆ </a></span>MBEDTLS_ERR_MPI_BAD_INPUT_DATA</h2>
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<td class="memname">#define MBEDTLS_ERR_MPI_BAD_INPUT_DATA   -0x0004</td>
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<p>Bad input parameters to function. </p>
<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00041">41</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<a id="a7fc9b9c20686c88b949d0a35c0def909"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a7fc9b9c20686c88b949d0a35c0def909">◆ </a></span>MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL</h2>
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<td class="memname">#define MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL   -0x0008</td>
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<p>The buffer is too small to write to. </p>
<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00043">43</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<a id="a97e2c5a552770757da26b4a9b2e56f6c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a97e2c5a552770757da26b4a9b2e56f6c">◆ </a></span>MBEDTLS_ERR_MPI_DIVISION_BY_ZERO</h2>
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<td class="memname">#define MBEDTLS_ERR_MPI_DIVISION_BY_ZERO   -0x000C</td>
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<p>The input argument for division is zero, which is not allowed. </p>
<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00045">45</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<a id="a5ba505f058780047978dcdafd50d0b1e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5ba505f058780047978dcdafd50d0b1e">◆ </a></span>MBEDTLS_ERR_MPI_FILE_IO_ERROR</h2>
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<td class="memname">#define MBEDTLS_ERR_MPI_FILE_IO_ERROR   -0x0002</td>
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<p>An error occurred while reading from or writing to a file. </p>
<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00040">40</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a0ef495d9a083d986f00e5f604126382f">◆ </a></span>MBEDTLS_ERR_MPI_INVALID_CHARACTER</h2>
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<td class="memname">#define MBEDTLS_ERR_MPI_INVALID_CHARACTER   -0x0006</td>
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<p>There is an invalid character in the digit string. </p>
<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00042">42</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ab7f06e7dfde557a02fe7137d4d47eed3">◆ </a></span>MBEDTLS_ERR_MPI_NEGATIVE_VALUE</h2>
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<td class="memname">#define MBEDTLS_ERR_MPI_NEGATIVE_VALUE   -0x000A</td>
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<p>The input arguments are negative or result in illegal output. </p>
<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00044">44</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a24f0dfbee8599f6e72852247d5681503">◆ </a></span>MBEDTLS_ERR_MPI_NOT_ACCEPTABLE</h2>
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<td class="memname">#define MBEDTLS_ERR_MPI_NOT_ACCEPTABLE   -0x000E</td>
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<p>The input arguments are not acceptable. </p>
<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00046">46</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ae9ed748679544c60d2b429ee2bc93818">◆ </a></span>MBEDTLS_HAVE_INT32</h2>
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<td class="memname">#define MBEDTLS_HAVE_INT32</td>
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<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00163">163</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ae1ace2caabfb2c45a1dab0a8f0bd6b66">◆ </a></span>MBEDTLS_HAVE_UDBL</h2>
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<td class="memname">#define MBEDTLS_HAVE_UDBL</td>
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<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00169">169</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a844008ccbe6672f636d250230755d5ee">◆ </a></span>MBEDTLS_LN_2_DIV_LN_10_SCALE100</h2>
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<td class="memname">#define MBEDTLS_LN_2_DIV_LN_10_SCALE100   332</td>
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<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00101">101</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#ab0a21d28acd6b59cc60a45547e2412af">◆ </a></span>MBEDTLS_MPI_CHK</h2>
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<td class="memname">#define MBEDTLS_MPI_CHK</td>
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<td>   do { if( ( ret = f ) != 0 ) goto cleanup; } while( 0 )</td>
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<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00049">49</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a134ba62182ca105e273d465861f5a4d5">◆ </a></span>MBEDTLS_MPI_MAX_BITS</h2>
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<td class="memname">#define MBEDTLS_MPI_MAX_BITS   ( 8 * <a class="el" href="bignum_8h.html#a02bfffc46b7b2e10c0080d29bb56e6b0">MBEDTLS_MPI_MAX_SIZE</a> )</td>
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<p>Maximum number of bits for usable MPIs. </p>
<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00080">80</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<a id="a5e807323a5823be0f1e7eef38dce9cb0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5e807323a5823be0f1e7eef38dce9cb0">◆ </a></span>MBEDTLS_MPI_MAX_BITS_SCALE100</h2>
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<td class="memname">#define MBEDTLS_MPI_MAX_BITS_SCALE100   ( 100 * <a class="el" href="bignum_8h.html#a134ba62182ca105e273d465861f5a4d5">MBEDTLS_MPI_MAX_BITS</a> )</td>
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<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00100">100</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a50617c9e123096b168d65a9d957b2ebe">◆ </a></span>MBEDTLS_MPI_MAX_LIMBS</h2>
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<td class="memname">#define MBEDTLS_MPI_MAX_LIMBS   10000</td>
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<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00054">54</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<a id="a02bfffc46b7b2e10c0080d29bb56e6b0"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a02bfffc46b7b2e10c0080d29bb56e6b0">◆ </a></span>MBEDTLS_MPI_MAX_SIZE</h2>
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<td class="memname">#define MBEDTLS_MPI_MAX_SIZE   1024</td>
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<p>Maximum number of bytes for usable MPIs. </p>
<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00077">77</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a95aa572170385895daf25b70c6f0d63f">◆ </a></span>MBEDTLS_MPI_RW_BUFFER_SIZE</h2>
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<td class="memname">#define MBEDTLS_MPI_RW_BUFFER_SIZE   ( ((<a class="el" href="bignum_8h.html#a5e807323a5823be0f1e7eef38dce9cb0">MBEDTLS_MPI_MAX_BITS_SCALE100</a> + <a class="el" href="bignum_8h.html#a844008ccbe6672f636d250230755d5ee">MBEDTLS_LN_2_DIV_LN_10_SCALE100</a> - 1) / <a class="el" href="bignum_8h.html#a844008ccbe6672f636d250230755d5ee">MBEDTLS_LN_2_DIV_LN_10_SCALE100</a>) + 10 + 6 )</td>
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<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00102">102</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a7cec1de79c434f1053488b1d3b9454c4">◆ </a></span>MBEDTLS_MPI_WINDOW_SIZE</h2>
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<td class="memname">#define MBEDTLS_MPI_WINDOW_SIZE   6</td>
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<p>Maximum windows size used. </p>
<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00066">66</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<h2 class="groupheader">Typedef Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a831621e03bb6892a866c36673644612e">◆ </a></span>mbedtls_mpi_sint</h2>
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<td class="memname">typedef int32_t <a class="el" href="bignum_8h.html#a831621e03bb6892a866c36673644612e">mbedtls_mpi_sint</a></td>
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<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00165">165</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<td class="memname">typedef uint32_t <a class="el" href="bignum_8h.html#ae5f62e04027ff6e12397b3e94c3912cd">mbedtls_mpi_uint</a></td>
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<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00166">166</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#af64c95417575870c4f465c0a663fb51b">◆ </a></span>mbedtls_t_udbl</h2>
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<td class="memname">typedef uint64_t <a class="el" href="bignum_8h.html#af64c95417575870c4f465c0a663fb51b">mbedtls_t_udbl</a></td>
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<p class="definition">Definition at line <a class="el" href="bignum_8h_source.html#l00168">168</a> of file <a class="el" href="bignum_8h_source.html">bignum.h</a>.</p>
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<h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a5ddb2c6dc59dd39874695e04ff40afdb">◆ </a></span>mbedtls_mpi_add_abs()</h2>
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<td class="memname">int mbedtls_mpi_add_abs </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>A</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>B</em> </td>
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<p>Unsigned addition: X = |A| + |B|. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Destination MPI </td></tr>
<tr><td class="paramname">A</td><td>Left-hand MPI </td></tr>
<tr><td class="paramname">B</td><td>Right-hand MPI</td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a1e6f6ba90e3c73ce6022ed7354443b2a">◆ </a></span>mbedtls_mpi_add_int()</h2>
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<td class="memname">int mbedtls_mpi_add_int </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>A</em>, </td>
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<td class="paramtype"><a class="el" href="bignum_8h.html#a831621e03bb6892a866c36673644612e">mbedtls_mpi_sint</a> </td>
<td class="paramname"><em>b</em> </td>
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<p>Signed addition: X = A + b. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Destination MPI </td></tr>
<tr><td class="paramname">A</td><td>Left-hand MPI </td></tr>
<tr><td class="paramname">b</td><td>The integer value to add</td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a5fd1cfd561c1ada500097f860aa4fe68">◆ </a></span>mbedtls_mpi_add_mpi()</h2>
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<td class="memname">int mbedtls_mpi_add_mpi </td>
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<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
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<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>A</em>, </td>
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<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>B</em> </td>
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<p>Signed addition: X = A + B. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Destination MPI </td></tr>
<tr><td class="paramname">A</td><td>Left-hand MPI </td></tr>
<tr><td class="paramname">B</td><td>Right-hand MPI</td></tr>
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</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a681ab2710d044c0cb091b6497c6ed395">◆ </a></span>mbedtls_mpi_bitlen()</h2>
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<td class="memname">size_t mbedtls_mpi_bitlen </td>
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<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em></td><td>)</td>
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<p>Return the number of bits up to and including the most significant '1' bit'. </p>
<p>Note: Thus also the one-based index of the most significant '1' bit</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>MPI to use </td></tr>
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<h2 class="memtitle"><span class="permalink"><a href="#a81ea45be21ea77f5d8deae9e99d9a11b">◆ </a></span>mbedtls_mpi_cmp_abs()</h2>
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<td class="memname">int mbedtls_mpi_cmp_abs </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
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<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>Y</em> </td>
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<p>Compare unsigned values. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Left-hand MPI </td></tr>
<tr><td class="paramname">Y</td><td>Right-hand MPI</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>1 if |X| is greater than |Y|, -1 if |X| is lesser than |Y| or 0 if |X| is equal to |Y| </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#ad0e7f426326afc7d3fde309a7a8d82fa">◆ </a></span>mbedtls_mpi_cmp_int()</h2>
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<td class="memname">int mbedtls_mpi_cmp_int </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
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<td></td>
<td class="paramtype"><a class="el" href="bignum_8h.html#a831621e03bb6892a866c36673644612e">mbedtls_mpi_sint</a> </td>
<td class="paramname"><em>z</em> </td>
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<p>Compare signed values. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Left-hand MPI </td></tr>
<tr><td class="paramname">z</td><td>The integer value to compare to</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>1 if X is greater than z, -1 if X is lesser than z or 0 if X is equal to z </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a762dd8add46384d4935a4aecc125096e">◆ </a></span>mbedtls_mpi_cmp_mpi()</h2>
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<td class="memname">int mbedtls_mpi_cmp_mpi </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
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<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>Y</em> </td>
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<p>Compare signed values. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Left-hand MPI </td></tr>
<tr><td class="paramname">Y</td><td>Right-hand MPI</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>1 if X is greater than Y, -1 if X is lesser than Y or 0 if X is equal to Y </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a2f722863f9fd9098690f8a9db9962044">◆ </a></span>mbedtls_mpi_copy()</h2>
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<td class="memname">int mbedtls_mpi_copy </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
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<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>Y</em> </td>
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<p>Copy the contents of Y into X. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Destination MPI </td></tr>
<tr><td class="paramname">Y</td><td>Source MPI</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a7ffac96dd27bbe62dba7c6307edd2c60">◆ </a></span>mbedtls_mpi_div_int()</h2>
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<td class="memname">int mbedtls_mpi_div_int </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>Q</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>R</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>A</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="bignum_8h.html#a831621e03bb6892a866c36673644612e">mbedtls_mpi_sint</a> </td>
<td class="paramname"><em>b</em> </td>
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<p>Division by int: A = Q * b + R. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">Q</td><td>Destination MPI for the quotient </td></tr>
<tr><td class="paramname">R</td><td>Destination MPI for the rest value </td></tr>
<tr><td class="paramname">A</td><td>Left-hand MPI </td></tr>
<tr><td class="paramname">b</td><td>Integer to divide by</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed, MBEDTLS_ERR_MPI_DIVISION_BY_ZERO if b == 0</dd></dl>
<dl class="section note"><dt>Note</dt><dd>Either Q or R can be NULL. </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a5f3db711e21b4fe2f1a009099478e796">◆ </a></span>mbedtls_mpi_div_mpi()</h2>
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<td class="memname">int mbedtls_mpi_div_mpi </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>Q</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>R</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>A</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>B</em> </td>
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<p>Division by <a class="el" href="structmbedtls__mpi.html" title="MPI structure. ">mbedtls_mpi</a>: A = Q * B + R. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">Q</td><td>Destination MPI for the quotient </td></tr>
<tr><td class="paramname">R</td><td>Destination MPI for the rest value </td></tr>
<tr><td class="paramname">A</td><td>Left-hand MPI </td></tr>
<tr><td class="paramname">B</td><td>Right-hand MPI</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed, MBEDTLS_ERR_MPI_DIVISION_BY_ZERO if B == 0</dd></dl>
<dl class="section note"><dt>Note</dt><dd>Either Q or R can be NULL. </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a55433a16c951178e2b98a01c6386239e">◆ </a></span>mbedtls_mpi_exp_mod()</h2>
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<td class="memname">int mbedtls_mpi_exp_mod </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>A</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>E</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>N</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>_RR</em> </td>
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<p>Sliding-window exponentiation: X = A^E mod N. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Destination MPI </td></tr>
<tr><td class="paramname">A</td><td>Left-hand MPI </td></tr>
<tr><td class="paramname">E</td><td>Exponent MPI </td></tr>
<tr><td class="paramname">N</td><td>Modular MPI </td></tr>
<tr><td class="paramname">_RR</td><td>Speed-up MPI used for recalculations</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed, MBEDTLS_ERR_MPI_BAD_INPUT_DATA if N is negative or even or if E is negative</dd></dl>
<dl class="section note"><dt>Note</dt><dd>_RR is used to avoid re-computing R*R mod N across multiple calls, which speeds up things a bit. It can be set to NULL if the extra performance is unneeded. </dd></dl>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a81b99c0a79d3e8ddedfd4a6ee37ceb1e">◆ </a></span>mbedtls_mpi_fill_random()</h2>
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<td class="memname">int mbedtls_mpi_fill_random </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">size_t </td>
<td class="paramname"><em>size</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int(*)(void *, unsigned char *, size_t) </td>
<td class="paramname"><em>f_rng</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">void * </td>
<td class="paramname"><em>p_rng</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p>Fill an MPI X with size bytes of random. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Destination MPI </td></tr>
<tr><td class="paramname">size</td><td>Size in bytes </td></tr>
<tr><td class="paramname">f_rng</td><td>RNG function </td></tr>
<tr><td class="paramname">p_rng</td><td>RNG parameter</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed</dd></dl>
<dl class="section note"><dt>Note</dt><dd>The bytes obtained from the PRNG are interpreted as a big-endian representation of an MPI; this can be relevant in applications like deterministic ECDSA. </dd></dl>
</div>
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<a id="abffd5d8382cb86c089a1ef2bebb90f9f"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abffd5d8382cb86c089a1ef2bebb90f9f">◆ </a></span>mbedtls_mpi_free()</h2>
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<td class="memname">void mbedtls_mpi_free </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em></td><td>)</td>
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<p>Unallocate one MPI. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>One MPI to unallocate. </td></tr>
</table>
</dd>
</dl>
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<h2 class="memtitle"><span class="permalink"><a href="#aeebcfa54676b583d2e767b1c01c9844f">◆ </a></span>mbedtls_mpi_gcd()</h2>
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<td class="memname">int mbedtls_mpi_gcd </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>G</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>A</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>B</em> </td>
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<p>Greatest common divisor: G = gcd(A, B) </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">G</td><td>Destination MPI </td></tr>
<tr><td class="paramname">A</td><td>Left-hand MPI </td></tr>
<tr><td class="paramname">B</td><td>Right-hand MPI</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#ad1267890b0187b0a73ce0e7ce4ab4929">◆ </a></span>mbedtls_mpi_gen_prime()</h2>
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<td class="memname">int mbedtls_mpi_gen_prime </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">size_t </td>
<td class="paramname"><em>nbits</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"><em>dh_flag</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int(*)(void *, unsigned char *, size_t) </td>
<td class="paramname"><em>f_rng</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">void * </td>
<td class="paramname"><em>p_rng</em> </td>
</tr>
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<td></td>
<td>)</td>
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<p>Prime number generation. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Destination MPI </td></tr>
<tr><td class="paramname">nbits</td><td>Required size of X in bits ( 3 <= nbits <= MBEDTLS_MPI_MAX_BITS ) </td></tr>
<tr><td class="paramname">dh_flag</td><td>If 1, then (X-1)/2 will be prime too </td></tr>
<tr><td class="paramname">f_rng</td><td>RNG function </td></tr>
<tr><td class="paramname">p_rng</td><td>RNG parameter</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful (probably prime), MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed, MBEDTLS_ERR_MPI_BAD_INPUT_DATA if nbits is < 3 </dd></dl>
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<a id="abfc40fb7192507bc0eeb9f24e8e69c2d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#abfc40fb7192507bc0eeb9f24e8e69c2d">◆ </a></span>mbedtls_mpi_get_bit()</h2>
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<td class="memname">int mbedtls_mpi_get_bit </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">size_t </td>
<td class="paramname"><em>pos</em> </td>
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<td></td>
<td>)</td>
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<p>Get a specific bit from X. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>MPI to use </td></tr>
<tr><td class="paramname">pos</td><td>Zero-based index of the bit in X</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>Either a 0 or a 1 </dd></dl>
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<a id="a22263d90d838cb58f271aa8f1920843d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a22263d90d838cb58f271aa8f1920843d">◆ </a></span>mbedtls_mpi_grow()</h2>
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<td class="memname">int mbedtls_mpi_grow </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">size_t </td>
<td class="paramname"><em>nblimbs</em> </td>
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<td>)</td>
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<p>Enlarge to the specified number of limbs. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>MPI to grow </td></tr>
<tr><td class="paramname">nblimbs</td><td>The target number of limbs</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed </dd></dl>
</div>
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<a id="a99c7cca612b47dc4f3b96905c4f9d69e"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a99c7cca612b47dc4f3b96905c4f9d69e">◆ </a></span>mbedtls_mpi_init()</h2>
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<td class="memname">void mbedtls_mpi_init </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em></td><td>)</td>
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<p>Initialize one MPI (make internal references valid) This just makes it ready to be set or freed, but does not define a value for the MPI. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>One MPI to initialize. </td></tr>
</table>
</dd>
</dl>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#abb720bf24bc902fe6edd2ce0cd9ce6e3">◆ </a></span>mbedtls_mpi_inv_mod()</h2>
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<td class="memname">int mbedtls_mpi_inv_mod </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>A</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>N</em> </td>
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<p>Modular inverse: X = A^-1 mod N. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Destination MPI </td></tr>
<tr><td class="paramname">A</td><td>Left-hand MPI </td></tr>
<tr><td class="paramname">N</td><td>Right-hand MPI</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed, MBEDTLS_ERR_MPI_BAD_INPUT_DATA if N is <= 1, MBEDTLS_ERR_MPI_NOT_ACCEPTABLE if A has no inverse mod N. </dd></dl>
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<a id="a5e5d03e6e1758bf871d23c96f7b91394"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a5e5d03e6e1758bf871d23c96f7b91394">◆ </a></span>mbedtls_mpi_is_prime()</h2>
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<td class="memname">int mbedtls_mpi_is_prime </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int(*)(void *, unsigned char *, size_t) </td>
<td class="paramname"><em>f_rng</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">void * </td>
<td class="paramname"><em>p_rng</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p>Miller-Rabin primality test. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>MPI to check </td></tr>
<tr><td class="paramname">f_rng</td><td>RNG function </td></tr>
<tr><td class="paramname">p_rng</td><td>RNG parameter</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful (probably prime), MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed, MBEDTLS_ERR_MPI_NOT_ACCEPTABLE if X is not prime </dd></dl>
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<a id="aa67117fd61db9570746dc2ffca88d004"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa67117fd61db9570746dc2ffca88d004">◆ </a></span>mbedtls_mpi_lsb()</h2>
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<td class="memname">size_t mbedtls_mpi_lsb </td>
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<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em></td><td>)</td>
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<p>Return the number of zero-bits before the least significant '1' bit. </p>
<p>Note: Thus also the zero-based index of the least significant '1' bit</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>MPI to use </td></tr>
</table>
</dd>
</dl>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a65644d139404325130491759a5651f6d">◆ </a></span>mbedtls_mpi_lset()</h2>
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<td class="memname">int mbedtls_mpi_lset </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="bignum_8h.html#a831621e03bb6892a866c36673644612e">mbedtls_mpi_sint</a> </td>
<td class="paramname"><em>z</em> </td>
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<td></td>
<td>)</td>
<td></td><td></td>
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<p>Set value from integer. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>MPI to set </td></tr>
<tr><td class="paramname">z</td><td>Value to use</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed </dd></dl>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a3d2a4a4c3d64490e26e05153ed798058">◆ </a></span>mbedtls_mpi_mod_int()</h2>
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<td class="memname">int mbedtls_mpi_mod_int </td>
<td>(</td>
<td class="paramtype"><a class="el" href="bignum_8h.html#ae5f62e04027ff6e12397b3e94c3912cd">mbedtls_mpi_uint</a> * </td>
<td class="paramname"><em>r</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>A</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="bignum_8h.html#a831621e03bb6892a866c36673644612e">mbedtls_mpi_sint</a> </td>
<td class="paramname"><em>b</em> </td>
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<td></td>
<td>)</td>
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<p>Modulo: r = A mod b. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">r</td><td>Destination mbedtls_mpi_uint </td></tr>
<tr><td class="paramname">A</td><td>Left-hand MPI </td></tr>
<tr><td class="paramname">b</td><td>Integer to divide by</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed, MBEDTLS_ERR_MPI_DIVISION_BY_ZERO if b == 0, MBEDTLS_ERR_MPI_NEGATIVE_VALUE if b < 0 </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a7b9db15054cb320c69dd065d3f17e674">◆ </a></span>mbedtls_mpi_mod_mpi()</h2>
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<td class="memname">int mbedtls_mpi_mod_mpi </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>R</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>A</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>B</em> </td>
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<td></td>
<td>)</td>
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<p>Modulo: R = A mod B. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">R</td><td>Destination MPI for the rest value </td></tr>
<tr><td class="paramname">A</td><td>Left-hand MPI </td></tr>
<tr><td class="paramname">B</td><td>Right-hand MPI</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed, MBEDTLS_ERR_MPI_DIVISION_BY_ZERO if B == 0, MBEDTLS_ERR_MPI_NEGATIVE_VALUE if B < 0 </dd></dl>
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<a id="ac4a22cb29f7e19dd4c823d1868f45eab"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac4a22cb29f7e19dd4c823d1868f45eab">◆ </a></span>mbedtls_mpi_mul_int()</h2>
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<td class="memname">int mbedtls_mpi_mul_int </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>A</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="bignum_8h.html#ae5f62e04027ff6e12397b3e94c3912cd">mbedtls_mpi_uint</a> </td>
<td class="paramname"><em>b</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
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<p>Baseline multiplication: X = A * b. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Destination MPI </td></tr>
<tr><td class="paramname">A</td><td>Left-hand MPI </td></tr>
<tr><td class="paramname">b</td><td>The unsigned integer value to multiply with</td></tr>
</table>
</dd>
</dl>
<dl class="section note"><dt>Note</dt><dd>b is unsigned</dd></dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed </dd></dl>
</div>
</div>
<a id="aa9065cae8e3a287095b4043317f6b706"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aa9065cae8e3a287095b4043317f6b706">◆ </a></span>mbedtls_mpi_mul_mpi()</h2>
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<td class="memname">int mbedtls_mpi_mul_mpi </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>A</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>B</em> </td>
</tr>
<tr>
<td></td>
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<p>Baseline multiplication: X = A * B. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Destination MPI </td></tr>
<tr><td class="paramname">A</td><td>Left-hand MPI </td></tr>
<tr><td class="paramname">B</td><td>Right-hand MPI</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed </dd></dl>
</div>
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<a id="a68f62c99e53eb034daea486e5d5d83ca"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a68f62c99e53eb034daea486e5d5d83ca">◆ </a></span>mbedtls_mpi_read_binary()</h2>
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<td class="memname">int mbedtls_mpi_read_binary </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const unsigned char * </td>
<td class="paramname"><em>buf</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">size_t </td>
<td class="paramname"><em>buflen</em> </td>
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<p>Import X from unsigned binary data, big endian. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Destination MPI </td></tr>
<tr><td class="paramname">buf</td><td>Input buffer </td></tr>
<tr><td class="paramname">buflen</td><td>Input buffer size</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed </dd></dl>
</div>
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<a id="acb4d0ed28a946cfa83219ae8709941d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#acb4d0ed28a946cfa83219ae8709941d4">◆ </a></span>mbedtls_mpi_read_file()</h2>
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<td class="memname">int mbedtls_mpi_read_file </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"><em>radix</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">FILE * </td>
<td class="paramname"><em>fin</em> </td>
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<td></td>
<td>)</td>
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<p>Read MPI from a line in an opened file. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Destination MPI </td></tr>
<tr><td class="paramname">radix</td><td>Input numeric base </td></tr>
<tr><td class="paramname">fin</td><td>Input file handle</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL if the file read buffer is too small or a MBEDTLS_ERR_MPI_XXX error code</dd></dl>
<dl class="section note"><dt>Note</dt><dd>On success, this function advances the file stream to the end of the current line or to EOF.</dd></dl>
<p>The function returns 0 on an empty line.</p>
<p>Leading whitespaces are ignored, as is a '0x' prefix for radix 16. </p>
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<h2 class="memtitle"><span class="permalink"><a href="#a15efd3f2f86700b69f6c18d34ac05758">◆ </a></span>mbedtls_mpi_read_string()</h2>
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<td class="memname">int mbedtls_mpi_read_string </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">int </td>
<td class="paramname"><em>radix</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const char * </td>
<td class="paramname"><em>s</em> </td>
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<p>Import from an ASCII string. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Destination MPI </td></tr>
<tr><td class="paramname">radix</td><td>Input numeric base </td></tr>
<tr><td class="paramname">s</td><td>Null-terminated string buffer</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, or a MBEDTLS_ERR_MPI_XXX error code </dd></dl>
</div>
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<a id="a623c565706f22d8fbcc665ba49a51c7c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a623c565706f22d8fbcc665ba49a51c7c">◆ </a></span>mbedtls_mpi_safe_cond_assign()</h2>
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<td class="memname">int mbedtls_mpi_safe_cond_assign </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>Y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned char </td>
<td class="paramname"><em>assign</em> </td>
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<td></td>
<td>)</td>
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<p>Safe conditional assignement X = Y if assign is 1. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>MPI to conditionally assign to </td></tr>
<tr><td class="paramname">Y</td><td>Value to be assigned </td></tr>
<tr><td class="paramname">assign</td><td>1: perform the assignment, 0: keep X's original value</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed,</dd></dl>
<dl class="section note"><dt>Note</dt><dd>This function is equivalent to if( assign ) mbedtls_mpi_copy( X, Y ); except that it avoids leaking any information about whether the assignment was done or not (the above code may leak information through branch prediction and/or memory access patterns analysis). </dd></dl>
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<a id="a956c54f87d26ceb6da98043805e67684"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a956c54f87d26ceb6da98043805e67684">◆ </a></span>mbedtls_mpi_safe_cond_swap()</h2>
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<td class="memname">int mbedtls_mpi_safe_cond_swap </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>Y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned char </td>
<td class="paramname"><em>assign</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p>Safe conditional swap X <-> Y if swap is 1. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>First <a class="el" href="structmbedtls__mpi.html" title="MPI structure. ">mbedtls_mpi</a> value </td></tr>
<tr><td class="paramname">Y</td><td>Second <a class="el" href="structmbedtls__mpi.html" title="MPI structure. ">mbedtls_mpi</a> value </td></tr>
<tr><td class="paramname">assign</td><td>1: perform the swap, 0: keep X and Y's original values</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed,</dd></dl>
<dl class="section note"><dt>Note</dt><dd>This function is equivalent to if( assign ) mbedtls_mpi_swap( X, Y ); except that it avoids leaking any information about whether the assignment was done or not (the above code may leak information through branch prediction and/or memory access patterns analysis). </dd></dl>
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<a id="a75b6f4376bdceb63ef5a65737c1a638c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a75b6f4376bdceb63ef5a65737c1a638c">◆ </a></span>mbedtls_mpi_self_test()</h2>
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<td class="memname">int mbedtls_mpi_self_test </td>
<td>(</td>
<td class="paramtype">int </td>
<td class="paramname"><em>verbose</em></td><td>)</td>
<td></td>
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<p>Checkup routine. </p>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, or 1 if the test failed </dd></dl>
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<a id="a39a475e7957e7a60993fc6e801d9913b"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a39a475e7957e7a60993fc6e801d9913b">◆ </a></span>mbedtls_mpi_set_bit()</h2>
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<td class="memname">int mbedtls_mpi_set_bit </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">size_t </td>
<td class="paramname"><em>pos</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">unsigned char </td>
<td class="paramname"><em>val</em> </td>
</tr>
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<td></td>
<td>)</td>
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<p>Set a bit of X to a specific value of 0 or 1. </p>
<dl class="section note"><dt>Note</dt><dd>Will grow X if necessary to set a bit to 1 in a not yet existing limb. Will not grow if bit should be set to 0</dd></dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>MPI to use </td></tr>
<tr><td class="paramname">pos</td><td>Zero-based index of the bit in X </td></tr>
<tr><td class="paramname">val</td><td>The value to set the bit to (0 or 1)</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed, MBEDTLS_ERR_MPI_BAD_INPUT_DATA if val is not 0 or 1 </dd></dl>
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<a id="a8d48a56155412dda56e67256be4d10d9"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8d48a56155412dda56e67256be4d10d9">◆ </a></span>mbedtls_mpi_shift_l()</h2>
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<td class="memname">int mbedtls_mpi_shift_l </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">size_t </td>
<td class="paramname"><em>count</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p>Left-shift: X <<= count. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>MPI to shift </td></tr>
<tr><td class="paramname">count</td><td>Amount to shift</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#aee1140147b1e807645cebf64ebded168">◆ </a></span>mbedtls_mpi_shift_r()</h2>
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<td class="memname">int mbedtls_mpi_shift_r </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">size_t </td>
<td class="paramname"><em>count</em> </td>
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<td></td>
<td>)</td>
<td></td><td></td>
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<p>Right-shift: X >>= count. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>MPI to shift </td></tr>
<tr><td class="paramname">count</td><td>Amount to shift</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed </dd></dl>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#abaaef229c95711a53b2f38eff0a2c14a">◆ </a></span>mbedtls_mpi_shrink()</h2>
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<td class="memname">int mbedtls_mpi_shrink </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">size_t </td>
<td class="paramname"><em>nblimbs</em> </td>
</tr>
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<p>Resize down, keeping at least the specified number of limbs. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>MPI to shrink </td></tr>
<tr><td class="paramname">nblimbs</td><td>The minimum number of limbs to keep</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed </dd></dl>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a538110c9da02704d34d67a07d16fb3ab">◆ </a></span>mbedtls_mpi_size()</h2>
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<td class="memname">size_t mbedtls_mpi_size </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em></td><td>)</td>
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<p>Return the total size in bytes. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>MPI to use </td></tr>
</table>
</dd>
</dl>
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<h2 class="memtitle"><span class="permalink"><a href="#ad5840808639d50a98edbede345251293">◆ </a></span>mbedtls_mpi_sub_abs()</h2>
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<td class="memname">int mbedtls_mpi_sub_abs </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>A</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>B</em> </td>
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<td></td>
<td>)</td>
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<p>Unsigned subtraction: X = |A| - |B|. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Destination MPI </td></tr>
<tr><td class="paramname">A</td><td>Left-hand MPI </td></tr>
<tr><td class="paramname">B</td><td>Right-hand MPI</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_NEGATIVE_VALUE if B is greater than A </dd></dl>
</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a1a925403c039d920059297cfb4ad5bad">◆ </a></span>mbedtls_mpi_sub_int()</h2>
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<td class="memname">int mbedtls_mpi_sub_int </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>A</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="el" href="bignum_8h.html#a831621e03bb6892a866c36673644612e">mbedtls_mpi_sint</a> </td>
<td class="paramname"><em>b</em> </td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
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<p>Signed subtraction: X = A - b. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Destination MPI </td></tr>
<tr><td class="paramname">A</td><td>Left-hand MPI </td></tr>
<tr><td class="paramname">b</td><td>The integer value to subtract</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a1a38a8d9f5052491df94d8010bd34955">◆ </a></span>mbedtls_mpi_sub_mpi()</h2>
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<td class="memname">int mbedtls_mpi_sub_mpi </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>A</em>, </td>
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<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>B</em> </td>
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<p>Signed subtraction: X = A - B. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Destination MPI </td></tr>
<tr><td class="paramname">A</td><td>Left-hand MPI </td></tr>
<tr><td class="paramname">B</td><td>Right-hand MPI</td></tr>
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<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_ALLOC_FAILED if memory allocation failed </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#a60d0c82301d6cf50e69808b6a3c5cd63">◆ </a></span>mbedtls_mpi_swap()</h2>
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<td class="memname">void mbedtls_mpi_swap </td>
<td>(</td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
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<td></td>
<td class="paramtype"><a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>Y</em> </td>
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<p>Swap the contents of X and Y. </p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">X</td><td>First MPI value </td></tr>
<tr><td class="paramname">Y</td><td>Second MPI value </td></tr>
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<h2 class="memtitle"><span class="permalink"><a href="#aceb4aeeb376a582a5e904135205ada44">◆ </a></span>mbedtls_mpi_write_binary()</h2>
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<td class="memname">int mbedtls_mpi_write_binary </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
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<td class="paramtype">unsigned char * </td>
<td class="paramname"><em>buf</em>, </td>
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<td class="paramtype">size_t </td>
<td class="paramname"><em>buflen</em> </td>
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<p>Export X into unsigned binary data, big endian. Always fills the whole buffer, which will start with zeros if the number is smaller. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Source MPI </td></tr>
<tr><td class="paramname">buf</td><td>Output buffer </td></tr>
<tr><td class="paramname">buflen</td><td>Output buffer size</td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>0 if successful, MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL if buf isn't large enough </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#ab23e312f4a0479c8b63a4bc9328e1324">◆ </a></span>mbedtls_mpi_write_file()</h2>
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<td class="memname">int mbedtls_mpi_write_file </td>
<td>(</td>
<td class="paramtype">const char * </td>
<td class="paramname"><em>p</em>, </td>
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<td></td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
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<td class="paramtype">int </td>
<td class="paramname"><em>radix</em>, </td>
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<td class="paramtype">FILE * </td>
<td class="paramname"><em>fout</em> </td>
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<p>Write X into an opened file, or stdout if fout is NULL. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">p</td><td>Prefix, can be NULL </td></tr>
<tr><td class="paramname">X</td><td>Source MPI </td></tr>
<tr><td class="paramname">radix</td><td>Output numeric base </td></tr>
<tr><td class="paramname">fout</td><td>Output file handle (can be NULL)</td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>0 if successful, or a MBEDTLS_ERR_MPI_XXX error code</dd></dl>
<dl class="section note"><dt>Note</dt><dd>Set fout == NULL to print X on the console. </dd></dl>
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<h2 class="memtitle"><span class="permalink"><a href="#ab2197e4833449c3e505ec8d11b348913">◆ </a></span>mbedtls_mpi_write_string()</h2>
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<td class="memname">int mbedtls_mpi_write_string </td>
<td>(</td>
<td class="paramtype">const <a class="el" href="structmbedtls__mpi.html">mbedtls_mpi</a> * </td>
<td class="paramname"><em>X</em>, </td>
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<td class="paramtype">int </td>
<td class="paramname"><em>radix</em>, </td>
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<td class="paramtype">char * </td>
<td class="paramname"><em>buf</em>, </td>
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<td class="paramtype">size_t </td>
<td class="paramname"><em>buflen</em>, </td>
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<td class="paramtype">size_t * </td>
<td class="paramname"><em>olen</em> </td>
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<p>Export into an ASCII string. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">X</td><td>Source MPI </td></tr>
<tr><td class="paramname">radix</td><td>Output numeric base </td></tr>
<tr><td class="paramname">buf</td><td>Buffer to write the string to </td></tr>
<tr><td class="paramname">buflen</td><td>Length of buf </td></tr>
<tr><td class="paramname">olen</td><td>Length of the string written, including final NUL byte</td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>0 if successful, or a MBEDTLS_ERR_MPI_XXX error code. *olen is always updated to reflect the amount of data that has (or would have) been written.</dd></dl>
<dl class="section note"><dt>Note</dt><dd>Call this function with buflen = 0 to obtain the minimum required buffer size in *olen. </dd></dl>
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