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				@ -9,8 +9,7 @@
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 * Michael Fromberger but has been written from scratch with
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					 * Michael Fromberger but has been written from scratch with
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 * additional optimizations in place.
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					 * additional optimizations in place.
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 *
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					 *
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 * The library is free for all purposes without any express
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					 * SPDX-License-Identifier: Unlicense
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 * guarantee it works.
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					 | 
				
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 */
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					 */
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static const struct {
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					static const struct {
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 * Michael Fromberger but has been written from scratch with
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					 * Michael Fromberger but has been written from scratch with
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 * additional optimizations in place.
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					 * additional optimizations in place.
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 *
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					 *
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 * The library is free for all purposes without any express
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					 * SPDX-License-Identifier: Unlicense
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 * guarantee it works.
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					 | 
				
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 */
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					 */
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/* computes the modular inverse via binary extended euclidean algorithm,
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					/* computes the modular inverse via binary extended euclidean algorithm,
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 * Michael Fromberger but has been written from scratch with
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					 * Michael Fromberger but has been written from scratch with
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 * additional optimizations in place.
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					 * additional optimizations in place.
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 *
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					 *
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 * The library is free for all purposes without any express
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					 * SPDX-License-Identifier: Unlicense
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 * guarantee it works.
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					 | 
				
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 */
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					 */
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/* computes xR**-1 == x (mod N) via Montgomery Reduction
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					/* computes xR**-1 == x (mod N) via Montgomery Reduction
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@ -9,8 +9,7 @@
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 * Michael Fromberger but has been written from scratch with
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					 * Michael Fromberger but has been written from scratch with
 | 
				
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 * additional optimizations in place.
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					 * additional optimizations in place.
 | 
				
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 *
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					 *
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 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
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 * guarantee it works.
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					 | 
				
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 */
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					 */
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/* Fast (comba) multiplier
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					/* Fast (comba) multiplier
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 * Michael Fromberger but has been written from scratch with
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					 * Michael Fromberger but has been written from scratch with
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 * additional optimizations in place.
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					 * additional optimizations in place.
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 *
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					 *
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 * The library is free for all purposes without any express
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					 * SPDX-License-Identifier: Unlicense
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 * guarantee it works.
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					 | 
				
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 */
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					 */
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/* this is a modified version of fast_s_mul_digs that only produces
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					/* this is a modified version of fast_s_mul_digs that only produces
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 * Michael Fromberger but has been written from scratch with
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					 * Michael Fromberger but has been written from scratch with
 | 
				
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 * additional optimizations in place.
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					 * additional optimizations in place.
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 *
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					 *
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 * The library is free for all purposes without any express
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					 * SPDX-License-Identifier: Unlicense
 | 
				
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 * guarantee it works.
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					 | 
				
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 */
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					 */
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/* the jist of squaring...
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					/* the jist of squaring...
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
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 * additional optimizations in place.
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					 * additional optimizations in place.
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 *
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					 *
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 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
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 * guarantee it works.
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					 | 
				
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 */
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					 */
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/* computes a = 2**b
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					/* computes a = 2**b
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
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 * additional optimizations in place.
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					 * additional optimizations in place.
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 *
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					 *
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 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
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 * guarantee it works.
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					 | 
				
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 */
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					 */
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/* b = |a|
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					/* b = |a|
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 * Michael Fromberger but has been written from scratch with
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					 * Michael Fromberger but has been written from scratch with
 | 
				
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 * additional optimizations in place.
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					 * additional optimizations in place.
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 *
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					 *
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 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
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 * guarantee it works.
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 */
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					 */
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/* high level addition (handles signs) */
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					/* high level addition (handles signs) */
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@ -9,8 +9,7 @@
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
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 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
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 *
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					 *
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 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
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 * guarantee it works.
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					 | 
				
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 */
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					 */
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/* single digit addition */
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					/* single digit addition */
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@ -9,8 +9,7 @@
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
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 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
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 *
 | 
					 *
 | 
				
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 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
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					 | 
				
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 */
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					 */
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/* d = a + b (mod c) */
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					/* d = a + b (mod c) */
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@ -9,8 +9,7 @@
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
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 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
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 *
 | 
					 *
 | 
				
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 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
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 */
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					 */
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/* AND two ints together */
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					/* AND two ints together */
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@ -9,8 +9,7 @@
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
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 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
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 *
 | 
					 *
 | 
				
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 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
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 * guarantee it works.
 | 
					 | 
				
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 */
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					 */
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/* trim unused digits
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					/* trim unused digits
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@ -9,8 +9,7 @@
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
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 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
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 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
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 * guarantee it works.
 | 
					 | 
				
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 */
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					 */
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/* clear one (frees)  */
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					/* clear one (frees)  */
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
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 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
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 *
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					 *
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 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
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 * guarantee it works.
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					 | 
				
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 */
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					 */
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#include <stdarg.h>
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					#include <stdarg.h>
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@ -9,8 +9,7 @@
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
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 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
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 *
 | 
					 *
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 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
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 * guarantee it works.
 | 
					 | 
				
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 */
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					 */
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/* compare two ints (signed)*/
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					/* compare two ints (signed)*/
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@ -9,8 +9,7 @@
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
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 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
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 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
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 */
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					 */
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/* compare a digit */
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					/* compare a digit */
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
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 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
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 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
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 */
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					 */
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/* compare maginitude of two ints (unsigned) */
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					/* compare maginitude of two ints (unsigned) */
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@ -9,8 +9,7 @@
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
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 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
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 *
 | 
					 *
 | 
				
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 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
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 */
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					 */
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static const int lnz[16] = {
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					static const int lnz[16] = {
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
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 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
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 *
 | 
					 *
 | 
				
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 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
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 */
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					 */
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/* b = ~a */
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					/* b = ~a */
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@ -9,8 +9,7 @@
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
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 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
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 *
 | 
					 *
 | 
				
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 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
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 */
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					 */
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/* copy, b = a */
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					/* copy, b = a */
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
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 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
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 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
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 */
 | 
					 */
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/* returns the number of bits in an int */
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					/* returns the number of bits in an int */
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@ -9,8 +9,7 @@
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
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 */
 | 
					 */
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#ifdef BN_MP_DIV_SMALL
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					#ifdef BN_MP_DIV_SMALL
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@ -9,8 +9,7 @@
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
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 */
 | 
					 */
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/* b = a/2 */
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					/* b = a/2 */
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
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/* shift right by a certain bit count (store quotient in c, optional remainder in d) */
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					/* shift right by a certain bit count (store quotient in c, optional remainder in d) */
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@ -9,8 +9,7 @@
 | 
				
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
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/* divide by three (based on routine from MPI and the GMP manual) */
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					/* divide by three (based on routine from MPI and the GMP manual) */
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@ -9,8 +9,7 @@
 | 
				
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
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 */
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					 */
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static int s_is_power_of_two(mp_digit b, int *p)
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					static int s_is_power_of_two(mp_digit b, int *p)
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@ -9,8 +9,7 @@
 | 
				
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
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 | 
					
 | 
				
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/* determines if a number is a valid DR modulus */
 | 
					/* determines if a number is a valid DR modulus */
 | 
				
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 | 
				
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@ -9,8 +9,7 @@
 | 
				
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 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* reduce "x" in place modulo "n" using the Diminished Radix algorithm.
 | 
					/* reduce "x" in place modulo "n" using the Diminished Radix algorithm.
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* determines the setup value */
 | 
					/* determines the setup value */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* swap the elements of two integers, for cases where you can't simply swap the
 | 
					/* swap the elements of two integers, for cases where you can't simply swap the
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* based on gmp's mpz_export.
 | 
					/* based on gmp's mpz_export.
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* wrapper function for mp_expt_d_ex() */
 | 
					/* wrapper function for mp_expt_d_ex() */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* calculate c = a**b  using a square-multiply algorithm */
 | 
					/* calculate c = a**b  using a square-multiply algorithm */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85
 | 
					/* computes Y == G**X mod P, HAC pp.616, Algorithm 14.85
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* Extended euclidean algorithm of (a, b) produces
 | 
					/* Extended euclidean algorithm of (a, b) produces
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
#ifndef LTM_NO_FILE
 | 
					#ifndef LTM_NO_FILE
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
#ifndef LTM_NO_FILE
 | 
					#ifndef LTM_NO_FILE
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* Greatest Common Divisor using the binary method */
 | 
					/* Greatest Common Divisor using the binary method */
 | 
				
			||||||
 | 
				
			|||||||
@ -10,8 +10,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* Checks the bit at position b and returns MP_YES
 | 
					/* Checks the bit at position b and returns MP_YES
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
double mp_get_double(const mp_int *a)
 | 
					double mp_get_double(const mp_int *a)
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* get the lower 32-bits of an mp_int */
 | 
					/* get the lower 32-bits of an mp_int */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* get the lower unsigned long of an mp_int, platform dependent */
 | 
					/* get the lower unsigned long of an mp_int, platform dependent */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* get the lower unsigned long long of an mp_int, platform dependent */
 | 
					/* get the lower unsigned long long of an mp_int, platform dependent */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* grow as required */
 | 
					/* grow as required */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* based on gmp's mpz_import.
 | 
					/* based on gmp's mpz_import.
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* init a new mp_int */
 | 
					/* init a new mp_int */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* creates "a" then copies b into it */
 | 
					/* creates "a" then copies b into it */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
#include <stdarg.h>
 | 
					#include <stdarg.h>
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* initialize and set a digit */
 | 
					/* initialize and set a digit */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* initialize and set a digit */
 | 
					/* initialize and set a digit */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* init an mp_init for a given size */
 | 
					/* init an mp_init for a given size */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* hac 14.61, pp608 */
 | 
					/* hac 14.61, pp608 */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* hac 14.61, pp608 */
 | 
					/* hac 14.61, pp608 */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* Check if remainders are possible squares - fast exclude non-squares */
 | 
					/* Check if remainders are possible squares - fast exclude non-squares */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* computes the jacobi c = (a | n) (or Legendre if n is prime)
 | 
					/* computes the jacobi c = (a | n) (or Legendre if n is prime)
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* c = |a| * |b| using Karatsuba Multiplication using
 | 
					/* c = |a| * |b| using Karatsuba Multiplication using
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* Karatsuba squaring, computes b = a*a using three
 | 
					/* Karatsuba squaring, computes b = a*a using three
 | 
				
			||||||
 | 
				
			|||||||
@ -10,8 +10,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/*
 | 
					/*
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* computes least common multiple as |a*b|/(a, b) */
 | 
					/* computes least common multiple as |a*b|/(a, b) */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* shift left a certain amount of digits */
 | 
					/* shift left a certain amount of digits */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* c = a mod b, 0 <= c < b if b > 0, b < c <= 0 if b < 0 */
 | 
					/* c = a mod b, 0 <= c < b if b > 0, b < c <= 0 if b < 0 */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* calc a value mod 2**b */
 | 
					/* calc a value mod 2**b */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
int mp_mod_d(const mp_int *a, mp_digit b, mp_digit *c)
 | 
					int mp_mod_d(const mp_int *a, mp_digit b, mp_digit *c)
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/*
 | 
					/*
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* computes xR**-1 == x (mod N) via Montgomery Reduction */
 | 
					/* computes xR**-1 == x (mod N) via Montgomery Reduction */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* setups the montgomery reduction stuff */
 | 
					/* setups the montgomery reduction stuff */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* high level multiplication (handles sign) */
 | 
					/* high level multiplication (handles sign) */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* b = a*2 */
 | 
					/* b = a*2 */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* shift left by a certain bit count */
 | 
					/* shift left by a certain bit count */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* multiply by a digit */
 | 
					/* multiply by a digit */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* d = a * b (mod c) */
 | 
					/* d = a * b (mod c) */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* wrapper function for mp_n_root_ex()
 | 
					/* wrapper function for mp_n_root_ex()
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* find the n'th root of an integer
 | 
					/* find the n'th root of an integer
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* b = -a */
 | 
					/* b = -a */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* OR two ints together */
 | 
					/* OR two ints together */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* performs one Fermat test.
 | 
					/* performs one Fermat test.
 | 
				
			||||||
 | 
				
			|||||||
@ -10,8 +10,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/*
 | 
					/*
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* determines if an integers is divisible by one
 | 
					/* determines if an integers is divisible by one
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* portable integer log of two with small footprint */
 | 
					/* portable integer log of two with small footprint */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* Miller-Rabin test of "a" to the base of "b" as described in
 | 
					/* Miller-Rabin test of "a" to the base of "b" as described in
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* finds the next prime after the number "a" using "t" trials
 | 
					/* finds the next prime after the number "a" using "t" trials
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
					
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* makes a truly random prime of a given size (bits),
 | 
					/* makes a truly random prime of a given size (bits),
 | 
				
			||||||
 | 
				
			|||||||
@ -10,8 +10,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/*
 | 
					/*
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* returns size of ASCII reprensentation */
 | 
					/* returns size of ASCII reprensentation */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* chars used in radix conversions */
 | 
					/* chars used in radix conversions */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* First the OS-specific special cases
 | 
					/* First the OS-specific special cases
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* read a string [ASCII] in a given radix */
 | 
					/* read a string [ASCII] in a given radix */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* read signed bin, big endian, first byte is 0==positive or 1==negative */
 | 
					/* read signed bin, big endian, first byte is 0==positive or 1==negative */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* reads a unsigned char array, assumes the msb is stored first [big endian] */
 | 
					/* reads a unsigned char array, assumes the msb is stored first [big endian] */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* reduces x mod m, assumes 0 < x < m**2, mu is
 | 
					/* reduces x mod m, assumes 0 < x < m**2, mu is
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* reduces a modulo n where n is of the form 2**p - d */
 | 
					/* reduces a modulo n where n is of the form 2**p - d */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* reduces a modulo n where n is of the form 2**p - d
 | 
					/* reduces a modulo n where n is of the form 2**p - d
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* determines the setup value */
 | 
					/* determines the setup value */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* determines the setup value */
 | 
					/* determines the setup value */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* determines if mp_reduce_2k can be used */
 | 
					/* determines if mp_reduce_2k can be used */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* determines if reduce_2k_l can be used */
 | 
					/* determines if reduce_2k_l can be used */
 | 
				
			||||||
 | 
				
			|||||||
@ -9,8 +9,7 @@
 | 
				
			|||||||
 * Michael Fromberger but has been written from scratch with
 | 
					 * Michael Fromberger but has been written from scratch with
 | 
				
			||||||
 * additional optimizations in place.
 | 
					 * additional optimizations in place.
 | 
				
			||||||
 *
 | 
					 *
 | 
				
			||||||
 * The library is free for all purposes without any express
 | 
					 * SPDX-License-Identifier: Unlicense
 | 
				
			||||||
 * guarantee it works.
 | 
					 | 
				
			||||||
 */
 | 
					 */
 | 
				
			||||||
 | 
					
 | 
				
			||||||
/* pre-calculate the value required for Barrett reduction
 | 
					/* pre-calculate the value required for Barrett reduction
 | 
				
			||||||
 | 
				
			|||||||
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		Reference in New Issue
	
	Block a user