From b5f6fc4db5378d3ff3972f86f794f3f1305c17ff Mon Sep 17 00:00:00 2001 From: Robert Baron Date: Tue, 7 Nov 2017 19:29:10 -0500 Subject: [PATCH] Updated documentation. --- Documentation/Content/Welcome.aml | 322 +++--- Math.Gmp.Native/gmp_lib.cs | 958 +++++++++--------- docs/Gmp.Native.chm | Bin 1297226 -> 1293608 bytes docs/WebTOC.xml | 146 +-- docs/fti/FTI_100.json | 2 +- docs/fti/FTI_101.json | 2 +- docs/fti/FTI_102.json | 2 +- docs/fti/FTI_103.json | 2 +- docs/fti/FTI_104.json | 2 +- docs/fti/FTI_105.json | 2 +- docs/fti/FTI_106.json | 2 +- docs/fti/FTI_107.json | 2 +- docs/fti/FTI_108.json | 2 +- docs/fti/FTI_109.json | 2 +- docs/fti/FTI_110.json | 2 +- docs/fti/FTI_111.json | 2 +- docs/fti/FTI_112.json | 2 +- docs/fti/FTI_113.json | 2 +- docs/fti/FTI_114.json | 2 +- docs/fti/FTI_115.json | 2 +- docs/fti/FTI_116.json | 2 +- docs/fti/FTI_117.json | 2 +- docs/fti/FTI_118.json | 2 +- docs/fti/FTI_119.json | 2 +- docs/fti/FTI_120.json | 2 +- docs/fti/FTI_121.json | 2 +- 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.../f5c3f25d-1ad5-b3be-fc4b-280a62869912.htm | 4 +- .../f88b40d4-3da9-e2c7-4c4c-1ad868778075.htm | 2 +- .../fae08c47-86df-9010-1827-a9fa6e48a1af.htm | 24 +- .../fb2d29b4-f7e2-e3d6-6fcb-920f2e86c0d7.htm | 8 +- .../fe6e46c3-8464-a080-b5fc-718589320cd5.htm | 2 +- .../feafa6f8-9793-d704-31a8-67c2cec0c33e.htm | 14 +- .../ff9c2930-ded2-c5b6-46dd-3ff9279cdc5e.htm | 4 +- .../ffd27ee1-e1e3-567f-b3cf-87dec2de2c83.htm | 2 +- 264 files changed, 1530 insertions(+), 1529 deletions(-) diff --git a/Documentation/Content/Welcome.aml b/Documentation/Content/Welcome.aml index 9da7fa6..b744dcf 100644 --- a/Documentation/Content/Welcome.aml +++ b/Documentation/Content/Welcome.aml @@ -270,11 +270,11 @@ Initializing Integers: - M:Math.Gmp.Native.gmp_lib.mpz_init(Math.Gmp.Native.mpz_t) - Initialize x, and set its value to 0.
- M:Math.Gmp.Native.gmp_lib.mpz_inits(Math.Gmp.Native.mpz_t[]) - Initialize a NULL-terminated list of variables, and set their values to 0.
- M:Math.Gmp.Native.gmp_lib.mpz_init2(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Initialize x, with space for n-bit numbers, and set its value to 0.
+ M:Math.Gmp.Native.gmp_lib.mpz_init(Math.Gmp.Native.mpz_t) - Initialize x, and set its value to 0.
+ M:Math.Gmp.Native.gmp_lib.mpz_inits(Math.Gmp.Native.mpz_t[]) - Initialize a NULL-terminated list of T:Math.Gmp.Native.mpz_t variables, and set their values to 0.
+ M:Math.Gmp.Native.gmp_lib.mpz_init2(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Initialize x, with space for n-bit numbers, and set its value to 0.
M:Math.Gmp.Native.gmp_lib.mpz_clear(Math.Gmp.Native.mpz_t) - Free the space occupied by x.
- M:Math.Gmp.Native.gmp_lib.mpz_clears(Math.Gmp.Native.mpz_t[]) - Free the space occupied by a NULL-terminated list of variables.
+ M:Math.Gmp.Native.gmp_lib.mpz_clears(Math.Gmp.Native.mpz_t[]) - Free the space occupied by a NULL-terminated list of T:Math.Gmp.Native.mpz_t variables.
M:Math.Gmp.Native.gmp_lib.mpz_realloc2(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Change the space allocated for x to n bits.
@@ -302,7 +302,7 @@ M:Math.Gmp.Native.gmp_lib.mpz_init_set_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Initialize rop with limb space and set the initial numeric value from op.
M:Math.Gmp.Native.gmp_lib.mpz_init_set_si(Math.Gmp.Native.mpz_t,System.Int32) - Initialize rop with limb space and set the initial numeric value from op.
M:Math.Gmp.Native.gmp_lib.mpz_init_set_d(Math.Gmp.Native.mpz_t,System.Double) - Initialize rop with limb space and set the initial numeric value from op.
- M:Math.Gmp.Native.gmp_lib.mpz_init_set_str(Math.Gmp.Native.mpz_t,Math.Gmp.Native.char_ptr,System.Int32) - Initialize rop and set its value like .
+ M:Math.Gmp.Native.gmp_lib.mpz_init_set_str(Math.Gmp.Native.mpz_t,Math.Gmp.Native.char_ptr,System.Int32) - Initialize rop and set its value like M:Math.Gmp.Native.gmp_lib.mpz_set_str(Math.Gmp.Native.mpz_t,Math.Gmp.Native.char_ptr,System.Int32).
@@ -322,20 +322,20 @@ Integer Arithmetic: - M:Math.Gmp.Native.gmp_lib.mpz_add(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to op1 + op2.
- M:Math.Gmp.Native.gmp_lib.mpz_add_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to op1 + op2.
- M:Math.Gmp.Native.gmp_lib.mpz_sub(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to op1 - op2.
- M:Math.Gmp.Native.gmp_lib.mpz_sub_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to op1 - op2.
- M:Math.Gmp.Native.gmp_lib.mpz_ui_sub(Math.Gmp.Native.mpz_t,System.UInt32,Math.Gmp.Native.mpz_t) - Set rop to op1 - op2.
- M:Math.Gmp.Native.gmp_lib.mpz_mul(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to op1 * op2.
- M:Math.Gmp.Native.gmp_lib.mpz_mul_si(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.Int32) - Set rop to op1 * op2.
- M:Math.Gmp.Native.gmp_lib.mpz_mul_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to op1 * op2.
- M:Math.Gmp.Native.gmp_lib.mpz_addmul(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to rop + op1 * op2.
- M:Math.Gmp.Native.gmp_lib.mpz_addmul_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to rop + op1 * op2.
- M:Math.Gmp.Native.gmp_lib.mpz_submul(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to rop - op1 * op2.
- M:Math.Gmp.Native.gmp_lib.mpz_submul_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to rop - op1 * op2.
- M:Math.Gmp.Native.gmp_lib.mpz_mul_2exp(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Set rop to op1 * 2^op2.
- M:Math.Gmp.Native.gmp_lib.mpz_neg(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to -op.
+ M:Math.Gmp.Native.gmp_lib.mpz_add(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to op1 + op2.
+ M:Math.Gmp.Native.gmp_lib.mpz_add_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to op1 + op2.
+ M:Math.Gmp.Native.gmp_lib.mpz_sub(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to op1 - op2.
+ M:Math.Gmp.Native.gmp_lib.mpz_sub_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to op1 - op2.
+ M:Math.Gmp.Native.gmp_lib.mpz_ui_sub(Math.Gmp.Native.mpz_t,System.UInt32,Math.Gmp.Native.mpz_t) - Set rop to op1 - op2.
+ M:Math.Gmp.Native.gmp_lib.mpz_mul(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to op1 * op2.
+ M:Math.Gmp.Native.gmp_lib.mpz_mul_si(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.Int32) - Set rop to op1 * op2.
+ M:Math.Gmp.Native.gmp_lib.mpz_mul_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to op1 * op2.
+ M:Math.Gmp.Native.gmp_lib.mpz_addmul(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to rop + op1 * op2.
+ M:Math.Gmp.Native.gmp_lib.mpz_addmul_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to rop + op1 * op2.
+ M:Math.Gmp.Native.gmp_lib.mpz_submul(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to rop - op1 * op2.
+ M:Math.Gmp.Native.gmp_lib.mpz_submul_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to rop - op1 * op2.
+ M:Math.Gmp.Native.gmp_lib.mpz_mul_2exp(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Set rop to op1 * 2^op2.
+ M:Math.Gmp.Native.gmp_lib.mpz_neg(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to -op.
M:Math.Gmp.Native.gmp_lib.mpz_abs(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to the absolute value of op.
@@ -344,43 +344,43 @@ Integer Division: - M:Math.Gmp.Native.gmp_lib.mpz_cdiv_q(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set the quotient q to ceiling(n / d).
- M:Math.Gmp.Native.gmp_lib.mpz_cdiv_r(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set the remainder r to n - q * d where q = ceiling(n / d).
- M:Math.Gmp.Native.gmp_lib.mpz_cdiv_qr(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set the quotient q to ceiling(n / d), and set the remainder r to n - q * d.
- M:Math.Gmp.Native.gmp_lib.mpz_cdiv_q_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set the quotient q to ceiling(n / d), and return the remainder r = |n - q * d|.
- M:Math.Gmp.Native.gmp_lib.mpz_cdiv_r_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set the remainder r to n - q * d where q = ceiling(n / d), and return |r|.
- M:Math.Gmp.Native.gmp_lib.mpz_cdiv_qr_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set quotient q to ceiling(n / d), set the remainder r to n - q * d, and return |r|.
- M:Math.Gmp.Native.gmp_lib.mpz_cdiv_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Return the remainder |r| where r = n - q * d, and where q = ceiling(n / d).
- M:Math.Gmp.Native.gmp_lib.mpz_cdiv_q_2exp(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Set the quotient q to ceiling(n / 2^b).
- M:Math.Gmp.Native.gmp_lib.mpz_cdiv_r_2exp(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Set the remainder r to n - q * 2^b where q = ceiling(n / 2^b).
- M:Math.Gmp.Native.gmp_lib.mpz_fdiv_q(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set the quotient q to floor(n / d).
- M:Math.Gmp.Native.gmp_lib.mpz_fdiv_r(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set the remainder r to n - q * d where q = floor(n / d).
- M:Math.Gmp.Native.gmp_lib.mpz_fdiv_qr(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set the quotient q to floor(n / d), and set the remainder r to n - q * d.
- M:Math.Gmp.Native.gmp_lib.mpz_fdiv_q_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set the quotient q to floor(n / d), and return the remainder r = |n - q * d|.
- M:Math.Gmp.Native.gmp_lib.mpz_fdiv_r_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set the remainder r to n - q * d where q = floor(n / d), and return |r|.
- M:Math.Gmp.Native.gmp_lib.mpz_fdiv_qr_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set quotient q to floor(n / d), set the remainder r to n - q * d, and return |r|.
- M:Math.Gmp.Native.gmp_lib.mpz_fdiv_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Return the remainder |r| where r = n - q * d, and where q = floor(n / d).
- M:Math.Gmp.Native.gmp_lib.mpz_fdiv_q_2exp(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Set the quotient q to floor(n / 2^b).
- M:Math.Gmp.Native.gmp_lib.mpz_fdiv_r_2exp(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Set the remainder r to n - q * 2^b where q = floor(n / 2^b).
- M:Math.Gmp.Native.gmp_lib.mpz_tdiv_q(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set the quotient q to trunc(n / d).
- M:Math.Gmp.Native.gmp_lib.mpz_tdiv_r(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set the remainder r to n - q * d where q = trunc(n / d).
- M:Math.Gmp.Native.gmp_lib.mpz_tdiv_qr(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set the quotient q to trunc(n / d), and set the remainder r to n - q * d.
- M:Math.Gmp.Native.gmp_lib.mpz_tdiv_q_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set the quotient q to trunc(n / d), and return the remainder r = |n - q * d|.
- M:Math.Gmp.Native.gmp_lib.mpz_tdiv_r_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set the remainder r to n - q * d where q = trunc(n / d), and return |r|.
- M:Math.Gmp.Native.gmp_lib.mpz_tdiv_qr_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set quotient q to trunc(n / d), set the remainder r to n - q * d, and return |r|.
- M:Math.Gmp.Native.gmp_lib.mpz_tdiv_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Return the remainder |r| where r = n - q * d, and where q = trunc(n / d).
- M:Math.Gmp.Native.gmp_lib.mpz_tdiv_q_2exp(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Set the quotient q to trunc(n / 2^b).
- M:Math.Gmp.Native.gmp_lib.mpz_tdiv_r_2exp(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Set the remainder r to n - q * 2^b where q = trunc(n / 2^b).
- M:Math.Gmp.Native.gmp_lib.mpz_mod(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set r to n mod d.
- M:Math.Gmp.Native.gmp_lib.mpz_mod_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set r to n mod d.
- M:Math.Gmp.Native.gmp_lib.mpz_divexact(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set q to n / d when it is known in advance that d divides n.
- M:Math.Gmp.Native.gmp_lib.mpz_divexact_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set q to n / d when it is known in advance that d divides n.
+ M:Math.Gmp.Native.gmp_lib.mpz_cdiv_q(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set the quotient q to ceiling(n / d).
+ M:Math.Gmp.Native.gmp_lib.mpz_cdiv_r(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set the remainder r to n - q * d where q = ceiling(n / d).
+ M:Math.Gmp.Native.gmp_lib.mpz_cdiv_qr(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set the quotient q to ceiling(n / d), and set the remainder r to n - q * d.
+ M:Math.Gmp.Native.gmp_lib.mpz_cdiv_q_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set the quotient q to ceiling(n / d), and return the remainder r = | n - q * d |.
+ M:Math.Gmp.Native.gmp_lib.mpz_cdiv_r_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set the remainder r to n - q * d where q = ceiling(n / d), and return | r |.
+ M:Math.Gmp.Native.gmp_lib.mpz_cdiv_qr_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set quotient q to ceiling(n / d), set the remainder r to n - q * d, and return | r |.
+ M:Math.Gmp.Native.gmp_lib.mpz_cdiv_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Return the remainder | r | where r = n - q * d, and where q = ceiling(n / d).
+ M:Math.Gmp.Native.gmp_lib.mpz_cdiv_q_2exp(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Set the quotient q to ceiling(n / 2^b).
+ M:Math.Gmp.Native.gmp_lib.mpz_cdiv_r_2exp(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Set the remainder r to n - q * 2^b where q = ceiling(n / 2^b).
+ M:Math.Gmp.Native.gmp_lib.mpz_fdiv_q(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set the quotient q to floor(n / d).
+ M:Math.Gmp.Native.gmp_lib.mpz_fdiv_r(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set the remainder r to n - q * d where q = floor(n / d).
+ M:Math.Gmp.Native.gmp_lib.mpz_fdiv_qr(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set the quotient q to floor(n / d), and set the remainder r to n - q * d.
+ M:Math.Gmp.Native.gmp_lib.mpz_fdiv_q_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set the quotient q to floor(n / d), and return the remainder r = | n - q * d |.
+ M:Math.Gmp.Native.gmp_lib.mpz_fdiv_r_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set the remainder r to n - q * d where q = floor(n / d), and return | r |.
+ M:Math.Gmp.Native.gmp_lib.mpz_fdiv_qr_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set quotient q to floor(n / d), set the remainder r to n - q * d, and return | r |.
+ M:Math.Gmp.Native.gmp_lib.mpz_fdiv_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Return the remainder | r | where r = n - q * d, and where q = floor(n / d).
+ M:Math.Gmp.Native.gmp_lib.mpz_fdiv_q_2exp(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Set the quotient q to floor(n / 2^b).
+ M:Math.Gmp.Native.gmp_lib.mpz_fdiv_r_2exp(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Set the remainder r to n - q * 2^b where q = floor(n / 2^b).
+ M:Math.Gmp.Native.gmp_lib.mpz_tdiv_q(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set the quotient q to trunc(n / d).
+ M:Math.Gmp.Native.gmp_lib.mpz_tdiv_r(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set the remainder r to n - q * d where q = trunc(n / d).
+ M:Math.Gmp.Native.gmp_lib.mpz_tdiv_qr(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set the quotient q to trunc(n / d), and set the remainder r to n - q * d.
+ M:Math.Gmp.Native.gmp_lib.mpz_tdiv_q_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set the quotient q to trunc(n / d), and return the remainder r = | n - q * d |.
+ M:Math.Gmp.Native.gmp_lib.mpz_tdiv_r_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set the remainder r to n - q * d where q = trunc(n / d), and return | r |.
+ M:Math.Gmp.Native.gmp_lib.mpz_tdiv_qr_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set quotient q to trunc(n / d), set the remainder r to n - q * d, and return | r |.
+ M:Math.Gmp.Native.gmp_lib.mpz_tdiv_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Return the remainder | r | where r = n - q * d, and where q = trunc(n / d).
+ M:Math.Gmp.Native.gmp_lib.mpz_tdiv_q_2exp(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Set the quotient q to trunc(n / 2^b).
+ M:Math.Gmp.Native.gmp_lib.mpz_tdiv_r_2exp(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Set the remainder r to n - q * 2^b where q = trunc(n / 2^b).
+ M:Math.Gmp.Native.gmp_lib.mpz_mod(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set r to n mod d.
+ M:Math.Gmp.Native.gmp_lib.mpz_mod_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set r to n mod d.
+ M:Math.Gmp.Native.gmp_lib.mpz_divexact(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set q to n / d when it is known in advance that d divides n.
+ M:Math.Gmp.Native.gmp_lib.mpz_divexact_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set q to n / d when it is known in advance that d divides n.
M:Math.Gmp.Native.gmp_lib.mpz_divisible_p(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Return non-zero if n is exactly divisible by d.
M:Math.Gmp.Native.gmp_lib.mpz_divisible_ui_p(Math.Gmp.Native.mpz_t,System.UInt32) - Return non-zero if n is exactly divisible by d.
- M:Math.Gmp.Native.gmp_lib.mpz_divisible_2exp_p(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Return non-zero if n is exactly divisible by 2^b.
+ M:Math.Gmp.Native.gmp_lib.mpz_divisible_2exp_p(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Return non-zero if n is exactly divisible by 2^b.
M:Math.Gmp.Native.gmp_lib.mpz_congruent_p(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Return non-zero if n is congruent to c modulo d.
M:Math.Gmp.Native.gmp_lib.mpz_congruent_ui_p(Math.Gmp.Native.mpz_t,System.UInt32,System.UInt32) - Return non-zero if n is congruent to c modulo d.
- M:Math.Gmp.Native.gmp_lib.mpz_congruent_2exp_p(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Return non-zero if n is congruent to c modulo 2^b.
+ M:Math.Gmp.Native.gmp_lib.mpz_congruent_2exp_p(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Return non-zero if n is congruent to c modulo 2^b.
@@ -388,11 +388,11 @@ Integer Exponentiation: - M:Math.Gmp.Native.gmp_lib.mpz_powm(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to (base^exp) modulo mod.
- M:Math.Gmp.Native.gmp_lib.mpz_powm_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32,Math.Gmp.Native.mpz_t) - Set rop to (base^exp) modulo mod.
- M:Math.Gmp.Native.gmp_lib.mpz_powm_sec(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to (base^exp) modulo mod.
- M:Math.Gmp.Native.gmp_lib.mpz_pow_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to base^exp. The case 0^0 yields 1.
- M:Math.Gmp.Native.gmp_lib.mpz_ui_pow_ui(Math.Gmp.Native.mpz_t,System.UInt32,System.UInt32) - Set rop to base^exp. The case 0^0 yields 1.
+ M:Math.Gmp.Native.gmp_lib.mpz_powm(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to (base^exp) modulo mod.
+ M:Math.Gmp.Native.gmp_lib.mpz_powm_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32,Math.Gmp.Native.mpz_t) - Set rop to (base^exp) modulo mod.
+ M:Math.Gmp.Native.gmp_lib.mpz_powm_sec(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to (base^exp) modulo mod.
+ M:Math.Gmp.Native.gmp_lib.mpz_pow_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to base^exp. The case 0^0 yields 1.
+ M:Math.Gmp.Native.gmp_lib.mpz_ui_pow_ui(Math.Gmp.Native.mpz_t,System.UInt32,System.UInt32) - Set rop to base^exp. The case 0^0 yields 1.
@@ -401,10 +401,10 @@ M:Math.Gmp.Native.gmp_lib.mpz_root(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to the truncated integer part of the nth root of op.
- M:Math.Gmp.Native.gmp_lib.mpz_rootrem(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set root to the truncated integer part of the nth root of u. Set rem to the remainder, u - root^n.
+ M:Math.Gmp.Native.gmp_lib.mpz_rootrem(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set root to the truncated integer part of the nth root of u. Set rem to the remainder, u - root^n.
M:Math.Gmp.Native.gmp_lib.mpz_sqrt(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to the truncated integer part of the square root of op.
- M:Math.Gmp.Native.gmp_lib.mpz_sqrtrem(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop1 to the truncated integer part of the square root of op, like . Set rop2 to the remainder op - rop1 * rop1, which will be zero if op is a perfect square.
- M:Math.Gmp.Native.gmp_lib.mpz_perfect_power_p(Math.Gmp.Native.mpz_t) - Return non-zero if op is a perfect power, i.e., if there exist integers a and b, with b > 1, such that op = a^b.
+ M:Math.Gmp.Native.gmp_lib.mpz_sqrtrem(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop1 to the truncated integer part of the square root of op, like M:Math.Gmp.Native.gmp_lib.mpz_sqrt(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t). Set rop2 to the remainder op - rop1 * rop1, which will be zero if op is a perfect square.
+ M:Math.Gmp.Native.gmp_lib.mpz_perfect_power_p(Math.Gmp.Native.mpz_t) - Return non-zero if op is a perfect power, i.e., if there exist integers a and b, with b > 1, such that op = a^b.
M:Math.Gmp.Native.gmp_lib.mpz_perfect_square_p(Math.Gmp.Native.mpz_t) - Return non-zero if op is a perfect square, i.e., if the square root of op is an integer.
@@ -416,29 +416,29 @@ M:Math.Gmp.Native.gmp_lib.mpz_probab_prime_p(Math.Gmp.Native.mpz_t,System.Int32) - Determine whether n is prime.
M:Math.Gmp.Native.gmp_lib.mpz_nextprime(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to the next prime greater than op.
M:Math.Gmp.Native.gmp_lib.mpz_gcd(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to the greatest common divisor of op1 and op2.
- M:Math.Gmp.Native.gmp_lib.mpz_gcd_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Compute the greatest common divisor of op1 and op2. If rop is not null, store the result there.
- M:Math.Gmp.Native.gmp_lib.mpz_gcdext(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set g to the greatest common divisor of a and b, and in addition set s and t to coefficients satisfying a * s + b * t = g.
+ M:Math.Gmp.Native.gmp_lib.mpz_gcd_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Compute the greatest common divisor of op1 and op2. If rop is not null, store the result there.
+ M:Math.Gmp.Native.gmp_lib.mpz_gcdext(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set g to the greatest common divisor of a and b, and in addition set s and t to coefficients satisfying a * s + b * t = g.
M:Math.Gmp.Native.gmp_lib.mpz_lcm(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to the least common multiple of op1 and op2.
M:Math.Gmp.Native.gmp_lib.mpz_lcm_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to the least common multiple of op1 and op2.
M:Math.Gmp.Native.gmp_lib.mpz_invert(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Compute the inverse of op1 modulo op2 and put the result in rop.
- M:Math.Gmp.Native.gmp_lib.mpz_jacobi(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Calculate the Jacobi symbol (a/b).
+ M:Math.Gmp.Native.gmp_lib.mpz_jacobi(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Calculate the Jacobi symbol (a/b).
M:Math.Gmp.Native.gmp_lib.mpz_legendre(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Calculate the Legendre symbol (a/p).
- M:Math.Gmp.Native.gmp_lib.mpz_kronecker(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Calculate the Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even.
- M:Math.Gmp.Native.gmp_lib.mpz_kronecker_si(Math.Gmp.Native.mpz_t,System.Int32) - Calculate the Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even.
- M:Math.Gmp.Native.gmp_lib.mpz_kronecker_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Calculate the Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even.
- M:Math.Gmp.Native.gmp_lib.mpz_si_kronecker(System.Int32,Math.Gmp.Native.mpz_t) - Calculate the Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even.
- M:Math.Gmp.Native.gmp_lib.mpz_ui_kronecker(System.UInt32,Math.Gmp.Native.mpz_t) - Calculate the Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even.
+ M:Math.Gmp.Native.gmp_lib.mpz_kronecker(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Calculate the Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even.
+ M:Math.Gmp.Native.gmp_lib.mpz_kronecker_si(Math.Gmp.Native.mpz_t,System.Int32) - Calculate the Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even.
+ M:Math.Gmp.Native.gmp_lib.mpz_kronecker_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Calculate the Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even.
+ M:Math.Gmp.Native.gmp_lib.mpz_si_kronecker(System.Int32,Math.Gmp.Native.mpz_t) - Calculate the Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even.
+ M:Math.Gmp.Native.gmp_lib.mpz_ui_kronecker(System.UInt32,Math.Gmp.Native.mpz_t) - Calculate the Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even.
M:Math.Gmp.Native.gmp_lib.mpz_remove(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Remove all occurrences of the factor f from op and store the result in rop.
- M:Math.Gmp.Native.gmp_lib.mpz_fac_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to the factorial n!.
- M:Math.Gmp.Native.gmp_lib.mpz_2fac_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to the double-factorial n!!.
- M:Math.Gmp.Native.gmp_lib.mpz_mfac_uiui(Math.Gmp.Native.mpz_t,System.UInt32,System.UInt32) - Set rop to the m-multi-factorial n!^(m)n.
- M:Math.Gmp.Native.gmp_lib.mpz_primorial_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to the primorial of n, i.e. the product of all positive prime numbers n.
+ M:Math.Gmp.Native.gmp_lib.mpz_fac_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to the factorial n!.
+ M:Math.Gmp.Native.gmp_lib.mpz_2fac_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to the double-factorial n!!.
+ M:Math.Gmp.Native.gmp_lib.mpz_mfac_uiui(Math.Gmp.Native.mpz_t,System.UInt32,System.UInt32) - Set rop to the m-multi-factorial n!^(m)n.
+ M:Math.Gmp.Native.gmp_lib.mpz_primorial_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Set rop to the primorial of n, i.e. the product of all positive prime numbers ≤ n.
M:Math.Gmp.Native.gmp_lib.mpz_bin_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Compute the binomial coefficient n over k and store the result in rop.
M:Math.Gmp.Native.gmp_lib.mpz_bin_uiui(Math.Gmp.Native.mpz_t,System.UInt32,System.UInt32) - Compute the binomial coefficient n over k and store the result in rop.
- M:Math.Gmp.Native.gmp_lib.mpz_fib_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Sets fn to to F[n], the n’th Fibonacci number.
- M:Math.Gmp.Native.gmp_lib.mpz_fib2_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Sets fn to F[n], and fnsub1 to F[n - 1].
- M:Math.Gmp.Native.gmp_lib.mpz_lucnum_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Sets ln to to L[n], the n’th Lucas number.
- M:Math.Gmp.Native.gmp_lib.mpz_lucnum2_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Sets ln to L[n], and lnsub1 to L[n - 1].
+ M:Math.Gmp.Native.gmp_lib.mpz_fib_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Sets fn to to F[n], the n’th Fibonacci number.
+ M:Math.Gmp.Native.gmp_lib.mpz_fib2_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Sets fn to F[n], and fnsub1 to F[n - 1].
+ M:Math.Gmp.Native.gmp_lib.mpz_lucnum_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Sets ln to to L[n], the n’th Lucas number.
+ M:Math.Gmp.Native.gmp_lib.mpz_lucnum2_ui(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t,System.UInt32) - Sets ln to L[n], and lnsub1 to L[n - 1].
M:Math.Gmp.Native.gmp_lib.mpz_millerrabin(Math.Gmp.Native.mpz_t,System.Int32) - An implementation of the probabilistic primality test found in Knuth's Seminumerical Algorithms book.
@@ -454,7 +454,7 @@ M:Math.Gmp.Native.gmp_lib.mpz_cmpabs(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Compare the absolute values of op1 and op2.
M:Math.Gmp.Native.gmp_lib.mpz_cmpabs_d(Math.Gmp.Native.mpz_t,System.Double) - Compare the absolute values of op1 and op2.
M:Math.Gmp.Native.gmp_lib.mpz_cmpabs_ui(Math.Gmp.Native.mpz_t,System.UInt32) - Compare the absolute values of op1 and op2.
- M:Math.Gmp.Native.gmp_lib.mpz_sgn(Math.Gmp.Native.mpz_t) - Return +1 if op > 0, 0 if op = 0, and -1 if op < 0.
+ M:Math.Gmp.Native.gmp_lib.mpz_sgn(Math.Gmp.Native.mpz_t) - Return +1 if op > 0, 0 if op = 0, and -1 if op < 0.
@@ -468,12 +468,12 @@ M:Math.Gmp.Native.gmp_lib.mpz_com(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Set rop to the one’s complement of op.
M:Math.Gmp.Native.gmp_lib.mpz_popcount(Math.Gmp.Native.mpz_t) - Return the population count of op.
M:Math.Gmp.Native.gmp_lib.mpz_hamdist(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mpz_t) - Return the hamming distance between the two operands.
- M:Math.Gmp.Native.gmp_lib.mpz_scan0(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Scan op for 0 bit.
- M:Math.Gmp.Native.gmp_lib.mpz_scan1(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Scan op for 1 bit.
+ M:Math.Gmp.Native.gmp_lib.mpz_scan0(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Scan op for 0 bit.
+ M:Math.Gmp.Native.gmp_lib.mpz_scan1(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Scan op for 1 bit.
M:Math.Gmp.Native.gmp_lib.mpz_setbit(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Set bit bit_index in rop.
M:Math.Gmp.Native.gmp_lib.mpz_clrbit(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Clear bit bit_index in rop.
M:Math.Gmp.Native.gmp_lib.mpz_combit(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Complement bit bit_index in rop.
- M:Math.Gmp.Native.gmp_lib.mpz_tstbit(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Test bit bit_index in op and return 0 or 1 accordingly.
+ M:Math.Gmp.Native.gmp_lib.mpz_tstbit(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_bitcnt_t) - Test bit bit_index in op and return 0 or 1 accordingly.
@@ -484,7 +484,7 @@ M:Math.Gmp.Native.gmp_lib.mpz_out_str(Math.Gmp.Native.ptr{Math.Gmp.Native.FILE},System.Int32,Math.Gmp.Native.mpz_t) - Output op on stdio stream stream, as a string of digits in base base.
M:Math.Gmp.Native.gmp_lib.mpz_inp_str(Math.Gmp.Native.mpz_t,Math.Gmp.Native.ptr{Math.Gmp.Native.FILE},System.Int32) - Input a possibly white-space preceded string in base base from stdio stream stream, and put the read integer in rop.
M:Math.Gmp.Native.gmp_lib.mpz_out_raw(Math.Gmp.Native.ptr{Math.Gmp.Native.FILE},Math.Gmp.Native.mpz_t) - Output op on stdio stream stream, in raw binary format.
- M:Math.Gmp.Native.gmp_lib.mpz_inp_raw(Math.Gmp.Native.mpz_t,Math.Gmp.Native.ptr{Math.Gmp.Native.FILE}) - Input from stdio stream stream in the format written by , and put the result in rop.
+ M:Math.Gmp.Native.gmp_lib.mpz_inp_raw(Math.Gmp.Native.mpz_t,Math.Gmp.Native.ptr{Math.Gmp.Native.FILE}) - Input from stdio stream stream in the format written by M:Math.Gmp.Native.gmp_lib.mpz_out_raw(Math.Gmp.Native.ptr{Math.Gmp.Native.FILE},Math.Gmp.Native.mpz_t), and put the result in rop.
@@ -492,8 +492,8 @@ Integer Random Numbers: - M:Math.Gmp.Native.gmp_lib.mpz_urandomb(Math.Gmp.Native.mpz_t,Math.Gmp.Native.gmp_randstate_t,Math.Gmp.Native.mp_bitcnt_t) - Generate a uniformly distributed random integer in the range 0 to 2^n - 1, inclusive.
- M:Math.Gmp.Native.gmp_lib.mpz_urandomm(Math.Gmp.Native.mpz_t,Math.Gmp.Native.gmp_randstate_t,Math.Gmp.Native.mpz_t) - Generate a uniform random integer in the range 0 to n - 1, inclusive.
+ M:Math.Gmp.Native.gmp_lib.mpz_urandomb(Math.Gmp.Native.mpz_t,Math.Gmp.Native.gmp_randstate_t,Math.Gmp.Native.mp_bitcnt_t) - Generate a uniformly distributed random integer in the range 0 to 2^n - 1, inclusive.
+ M:Math.Gmp.Native.gmp_lib.mpz_urandomm(Math.Gmp.Native.mpz_t,Math.Gmp.Native.gmp_randstate_t,Math.Gmp.Native.mpz_t) - Generate a uniform random integer in the range 0 to n - 1, inclusive.
M:Math.Gmp.Native.gmp_lib.mpz_rrandomb(Math.Gmp.Native.mpz_t,Math.Gmp.Native.gmp_randstate_t,Math.Gmp.Native.mp_bitcnt_t) - Generate a random integer with long strings of zeros and ones in the binary representation.
M:Math.Gmp.Native.gmp_lib.mpz_random(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_size_t) - Generate a random integer of at most max_size limbs.
M:Math.Gmp.Native.gmp_lib.mpz_random2(Math.Gmp.Native.mpz_t,Math.Gmp.Native.mp_size_t) - Generate a random integer of at most max_size limbs, with long strings of zeros and ones in the binary representation.
@@ -553,14 +553,14 @@
M:Math.Gmp.Native.gmp_lib.mpq_canonicalize(Math.Gmp.Native.mpq_t) - Remove any factors that are common to the numerator and denominator of op, and make the denominator positive.
- M:Math.Gmp.Native.gmp_lib.mpq_init(Math.Gmp.Native.mpq_t) - Initialize x and set it to 0/1.
- M:Math.Gmp.Native.gmp_lib.mpq_inits(Math.Gmp.Native.mpq_t[]) - Initialize a NULL-terminated list of variables, and set their values to 0/1.
+ M:Math.Gmp.Native.gmp_lib.mpq_init(Math.Gmp.Native.mpq_t) - Initialize x and set it to 0/1.
+ M:Math.Gmp.Native.gmp_lib.mpq_inits(Math.Gmp.Native.mpq_t[]) - Initialize a NULL-terminated list of T:Math.Gmp.Native.mpq_t variables, and set their values to 0/1.
M:Math.Gmp.Native.gmp_lib.mpq_clear(Math.Gmp.Native.mpq_t) - Free the space occupied by x.
- M:Math.Gmp.Native.gmp_lib.mpq_clears(Math.Gmp.Native.mpq_t[]) - Free the space occupied by a NULL-terminated list of variables.
+ M:Math.Gmp.Native.gmp_lib.mpq_clears(Math.Gmp.Native.mpq_t[]) - Free the space occupied by a NULL-terminated list of T:Math.Gmp.Native.mpq_t variables.
M:Math.Gmp.Native.gmp_lib.mpq_set(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t) - Assign rop from op.
M:Math.Gmp.Native.gmp_lib.mpq_set_z(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpz_t) - Assign rop from op.
- M:Math.Gmp.Native.gmp_lib.mpq_set_ui(Math.Gmp.Native.mpq_t,System.UInt32,System.UInt32) - Set the value of rop to op1 / op2.
- M:Math.Gmp.Native.gmp_lib.mpq_set_si(Math.Gmp.Native.mpq_t,System.Int32,System.UInt32) - Set the value of rop to op1 / op2.
+ M:Math.Gmp.Native.gmp_lib.mpq_set_ui(Math.Gmp.Native.mpq_t,System.UInt32,System.UInt32) - Set the value of rop to op1 / op2.
+ M:Math.Gmp.Native.gmp_lib.mpq_set_si(Math.Gmp.Native.mpq_t,System.Int32,System.UInt32) - Set the value of rop to op1 / op2.
M:Math.Gmp.Native.gmp_lib.mpq_set_str(Math.Gmp.Native.mpq_t,Math.Gmp.Native.char_ptr,System.Int32) - Set rop from a null-terminated string str in the given base.
M:Math.Gmp.Native.gmp_lib.mpq_swap(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t) - Swap the values rop1 and rop2 efficiently.
@@ -570,7 +570,7 @@ Rational Conversions: - M:Math.Gmp.Native.gmp_lib.mpq_get_d(Math.Gmp.Native.mpq_t) - Convert op to a , truncating if necessary (i.e. rounding towards zero).
+ M:Math.Gmp.Native.gmp_lib.mpq_get_d(Math.Gmp.Native.mpq_t) - Convert op to a T:System.Double, truncating if necessary (i.e. rounding towards zero).
M:Math.Gmp.Native.gmp_lib.mpq_set_d(Math.Gmp.Native.mpq_t,System.Double) - Set rop to the value of op. There is no rounding, this conversion is exact.
M:Math.Gmp.Native.gmp_lib.mpq_set_f(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpf_t) - Set rop to the value of op. There is no rounding, this conversion is exact.
M:Math.Gmp.Native.gmp_lib.mpq_get_str(Math.Gmp.Native.char_ptr,System.Int32,Math.Gmp.Native.mpq_t) - Convert op to a string of digits in base base.
@@ -581,15 +581,15 @@ Rational Arithmetic:
- M:Math.Gmp.Native.gmp_lib.mpq_add(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t) - Set sum to addend1 + addend2.
- M:Math.Gmp.Native.gmp_lib.mpq_sub(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t) - Set difference to minuend - subtrahend.
- M:Math.Gmp.Native.gmp_lib.mpq_mul(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t) - Set product to multiplier * multiplicand.
- M:Math.Gmp.Native.gmp_lib.mpq_mul_2exp(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t,System.UInt32) - Set rop to op1 * 2*op2.
- M:Math.Gmp.Native.gmp_lib.mpq_div(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t) - Set quotient to dividend / divisor.
- M:Math.Gmp.Native.gmp_lib.mpq_div_2exp(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t,System.UInt32) - Set rop to op1 / 2^op2.
- M:Math.Gmp.Native.gmp_lib.mpq_neg(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t) - Set negated_operand to -operand.
+ M:Math.Gmp.Native.gmp_lib.mpq_add(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t) - Set sum to addend1 + addend2.
+ M:Math.Gmp.Native.gmp_lib.mpq_sub(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t) - Set difference to minuend - subtrahend.
+ M:Math.Gmp.Native.gmp_lib.mpq_mul(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t) - Set product to multiplier * multiplicand.
+ M:Math.Gmp.Native.gmp_lib.mpq_mul_2exp(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t,System.UInt32) - Set rop to op1 * 2*op2.
+ M:Math.Gmp.Native.gmp_lib.mpq_div(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t) - Set quotient to dividend / divisor.
+ M:Math.Gmp.Native.gmp_lib.mpq_div_2exp(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t,System.UInt32) - Set rop to op1 / 2^op2.
+ M:Math.Gmp.Native.gmp_lib.mpq_neg(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t) - Set negated_operand to -operand.
M:Math.Gmp.Native.gmp_lib.mpq_abs(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t) - Set rop to the absolute value of op.
- M:Math.Gmp.Native.gmp_lib.mpq_inv(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t) - Set inverted_number to 1 / number.
+ M:Math.Gmp.Native.gmp_lib.mpq_inv(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t) - Set inverted_number to 1 / number.
@@ -599,9 +599,9 @@ M:Math.Gmp.Native.gmp_lib.mpq_cmp(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t) - Compare op1 and op2.
M:Math.Gmp.Native.gmp_lib.mpq_cmp_z(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpz_t) - Compare op1 and op2.
- M:Math.Gmp.Native.gmp_lib.mpq_cmp_ui(Math.Gmp.Native.mpq_t,System.UInt32,System.UInt32) - Compare op1 and num2 / den2.
- M:Math.Gmp.Native.gmp_lib.mpq_cmp_si(Math.Gmp.Native.mpq_t,System.Int32,System.UInt32) - Compare op1 and num2 / den2.
- M:Math.Gmp.Native.gmp_lib.mpq_sgn(Math.Gmp.Native.mpq_t) - Return +1 if op > 0, 0 if op = 0, and -1 if op < 0.
+ M:Math.Gmp.Native.gmp_lib.mpq_cmp_ui(Math.Gmp.Native.mpq_t,System.UInt32,System.UInt32) - Compare op1 and num2 / den2.
+ M:Math.Gmp.Native.gmp_lib.mpq_cmp_si(Math.Gmp.Native.mpq_t,System.Int32,System.UInt32) - Compare op1 and num2 / den2.
+ M:Math.Gmp.Native.gmp_lib.mpq_sgn(Math.Gmp.Native.mpq_t) - Return +1 if op > 0, 0 if op = 0, and -1 if op < 0.
M:Math.Gmp.Native.gmp_lib.mpq_equal(Math.Gmp.Native.mpq_t,Math.Gmp.Native.mpq_t) - Return non-zero if op1 and op2 are equal, zero if they are non-equal.
@@ -642,11 +642,11 @@ M:Math.Gmp.Native.gmp_lib.mpf_set_default_prec(Math.Gmp.Native.mp_bitcnt_t) - Set the default precision to be at least prec bits.
M:Math.Gmp.Native.gmp_lib.mpf_get_default_prec - Return the default precision actually used.
- M:Math.Gmp.Native.gmp_lib.mpf_init(Math.Gmp.Native.mpf_t) - Initialize x to 0.
- M:Math.Gmp.Native.gmp_lib.mpf_init2(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mp_bitcnt_t) - Initialize x to 0 and set its precision to be at least prec bits.
- M:Math.Gmp.Native.gmp_lib.mpf_inits(Math.Gmp.Native.mpf_t[]) - Initialize a NULL-terminated list of variables, and set their values to 0.
+ M:Math.Gmp.Native.gmp_lib.mpf_init(Math.Gmp.Native.mpf_t) - Initialize x to 0.
+ M:Math.Gmp.Native.gmp_lib.mpf_init2(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mp_bitcnt_t) - Initialize x to 0 and set its precision to be at least prec bits.
+ M:Math.Gmp.Native.gmp_lib.mpf_inits(Math.Gmp.Native.mpf_t[]) - Initialize a NULL-terminated list of T:Math.Gmp.Native.mpf_t variables, and set their values to 0.
M:Math.Gmp.Native.gmp_lib.mpf_clear(Math.Gmp.Native.mpf_t) - Free the space occupied by x.
- M:Math.Gmp.Native.gmp_lib.mpf_clears(Math.Gmp.Native.mpf_t[]) - Free the space occupied by a NULL-terminated list of variables.
+ M:Math.Gmp.Native.gmp_lib.mpf_clears(Math.Gmp.Native.mpf_t[]) - Free the space occupied by a NULL-terminated list of T:Math.Gmp.Native.mpf_t variables.
M:Math.Gmp.Native.gmp_lib.mpf_get_prec(Math.Gmp.Native.mpf_t) - Return the current precision of op, in bits.
M:Math.Gmp.Native.gmp_lib.mpf_set_prec(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mp_bitcnt_t) - Set the precision of rop to be at least prec bits.
M:Math.Gmp.Native.gmp_lib.mpf_set_prec_raw(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mp_bitcnt_t) - Set the precision of rop to be at least prec bits, without changing the memory allocated.
@@ -685,7 +685,7 @@ Converting Floats:
- M:Math.Gmp.Native.gmp_lib.mpf_get_d(Math.Gmp.Native.mpf_t) - Convert op to a , truncating if necessary (i.e. rounding towards zero).
+ M:Math.Gmp.Native.gmp_lib.mpf_get_d(Math.Gmp.Native.mpf_t) - Convert op to a T:System.Double, truncating if necessary (i.e. rounding towards zero).
M:Math.Gmp.Native.gmp_lib.mpf_get_d_2exp(Math.Gmp.Native.ptr{System.Int32},Math.Gmp.Native.mpf_t) - Convert op to a double, truncating if necessary (i.e. rounding towards zero), and with an exponent returned separately.
M:Math.Gmp.Native.gmp_lib.mpf_get_si(Math.Gmp.Native.mpf_t) - Convert op to a 32-bit integer, truncating any fraction part.
M:Math.Gmp.Native.gmp_lib.mpf_get_ui(Math.Gmp.Native.mpf_t) - Convert op to an unsigned 32-bit integer, truncating any fraction part.
@@ -697,23 +697,23 @@ Float Arithmetic:
- M:Math.Gmp.Native.gmp_lib.mpf_add(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t) - Set rop to op1 + op2.
- M:Math.Gmp.Native.gmp_lib.mpf_add_ui(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,System.UInt32) - Set rop to op1 + op2.
- M:Math.Gmp.Native.gmp_lib.mpf_sub(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t) - Set rop to op1 - op2.
- M:Math.Gmp.Native.gmp_lib.mpf_ui_sub(Math.Gmp.Native.mpf_t,System.UInt32,Math.Gmp.Native.mpf_t) - Set rop to op1 - op2.
- M:Math.Gmp.Native.gmp_lib.mpf_sub_ui(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,System.UInt32) - Set rop to op1 - op2.
- M:Math.Gmp.Native.gmp_lib.mpf_mul(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t) - Set rop to op1 * op2.
- M:Math.Gmp.Native.gmp_lib.mpf_mul_ui(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,System.UInt32) - Set rop to op1 * op2.
- M:Math.Gmp.Native.gmp_lib.mpf_div(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t) - Set rop to op1 / op2.
- M:Math.Gmp.Native.gmp_lib.mpf_ui_div(Math.Gmp.Native.mpf_t,System.UInt32,Math.Gmp.Native.mpf_t) - Set rop to op1 / op2.
- M:Math.Gmp.Native.gmp_lib.mpf_div_ui(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,System.UInt32) - Set rop to op1 / op2.
+ M:Math.Gmp.Native.gmp_lib.mpf_add(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t) - Set rop to op1 + op2.
+ M:Math.Gmp.Native.gmp_lib.mpf_add_ui(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,System.UInt32) - Set rop to op1 + op2.
+ M:Math.Gmp.Native.gmp_lib.mpf_sub(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t) - Set rop to op1 - op2.
+ M:Math.Gmp.Native.gmp_lib.mpf_ui_sub(Math.Gmp.Native.mpf_t,System.UInt32,Math.Gmp.Native.mpf_t) - Set rop to op1 - op2.
+ M:Math.Gmp.Native.gmp_lib.mpf_sub_ui(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,System.UInt32) - Set rop to op1 - op2.
+ M:Math.Gmp.Native.gmp_lib.mpf_mul(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t) - Set rop to op1 * op2.
+ M:Math.Gmp.Native.gmp_lib.mpf_mul_ui(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,System.UInt32) - Set rop to op1 * op2.
+ M:Math.Gmp.Native.gmp_lib.mpf_div(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t) - Set rop to op1 / op2.
+ M:Math.Gmp.Native.gmp_lib.mpf_ui_div(Math.Gmp.Native.mpf_t,System.UInt32,Math.Gmp.Native.mpf_t) - Set rop to op1 / op2.
+ M:Math.Gmp.Native.gmp_lib.mpf_div_ui(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,System.UInt32) - Set rop to op1 / op2.
M:Math.Gmp.Native.gmp_lib.mpf_sqrt(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t) - Set rop to the square root of op.
M:Math.Gmp.Native.gmp_lib.mpf_sqrt_ui(Math.Gmp.Native.mpf_t,System.UInt32) - Set rop to the square root of op.
- M:Math.Gmp.Native.gmp_lib.mpf_pow_ui(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,System.UInt32) - Set rop to op1^op2.
- M:Math.Gmp.Native.gmp_lib.mpf_neg(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t) - Set rop to -op.
- M:Math.Gmp.Native.gmp_lib.mpf_abs(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t) - Set rop to |op|.
- M:Math.Gmp.Native.gmp_lib.mpf_mul_2exp(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,Math.Gmp.Native.mp_bitcnt_t) - Set rop to op1 * 2^op2.
- M:Math.Gmp.Native.gmp_lib.mpf_div_2exp(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,System.UInt32) - Set rop to op1 / 2^op2.
+ M:Math.Gmp.Native.gmp_lib.mpf_pow_ui(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,System.UInt32) - Set rop to op1^op2.
+ M:Math.Gmp.Native.gmp_lib.mpf_neg(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t) - Set rop to -op.
+ M:Math.Gmp.Native.gmp_lib.mpf_abs(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t) - Set rop to | op |.
+ M:Math.Gmp.Native.gmp_lib.mpf_mul_2exp(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,Math.Gmp.Native.mp_bitcnt_t) - Set rop to op1 * 2^op2.
+ M:Math.Gmp.Native.gmp_lib.mpf_div_2exp(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,System.UInt32) - Set rop to op1 / 2^op2.
@@ -726,8 +726,8 @@ M:Math.Gmp.Native.gmp_lib.mpf_cmp_d(Math.Gmp.Native.mpf_t,System.Double) - Compare op1 and op2.
M:Math.Gmp.Native.gmp_lib.mpf_cmp_ui(Math.Gmp.Native.mpf_t,System.UInt32) - Compare op1 and op2.
M:Math.Gmp.Native.gmp_lib.mpf_cmp_si(Math.Gmp.Native.mpf_t,System.Int32) - Compare op1 and op2.
- M:Math.Gmp.Native.gmp_lib.mpf_reldiff(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t) - Compute the relative difference between op1 and op2 and store the result in rop. This is |op1 - op2| / op1.
- M:Math.Gmp.Native.gmp_lib.mpf_sgn(Math.Gmp.Native.mpf_t) - Return +1 if op > 0, 0 if op = 0, and -1 if op < 0.
+ M:Math.Gmp.Native.gmp_lib.mpf_reldiff(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t,Math.Gmp.Native.mpf_t) - Compute the relative difference between op1 and op2 and store the result in rop. This is | op1 - op2 | / op1.
+ M:Math.Gmp.Native.gmp_lib.mpf_sgn(Math.Gmp.Native.mpf_t) - Return +1 if op > 0, 0 if op = 0, and -1 if op < 0.
@@ -754,7 +754,7 @@ M:Math.Gmp.Native.gmp_lib.mpf_fits_sint_p(Math.Gmp.Native.mpf_t) - Return non-zero if op fits in a 32-bit integer, when truncated to an integer.
M:Math.Gmp.Native.gmp_lib.mpf_fits_sshort_p(Math.Gmp.Native.mpf_t) - Return non-zero if op fits in a 16-bit integer, when truncated to an integer.
M:Math.Gmp.Native.gmp_lib.mpf_fits_ushort_p(Math.Gmp.Native.mpf_t) - Return non-zero if op fits in an unsigned 16-bit integer, when truncated to an integer.
- M:Math.Gmp.Native.gmp_lib.mpf_urandomb(Math.Gmp.Native.mpf_t,Math.Gmp.Native.gmp_randstate_t,Math.Gmp.Native.mp_bitcnt_t) - Generate a uniformly distributed random float in rop, such that 0 ≤ rop < 1, with nbits significant bits in the mantissa or less if the precision of rop is smaller.
+ M:Math.Gmp.Native.gmp_lib.mpf_urandomb(Math.Gmp.Native.mpf_t,Math.Gmp.Native.gmp_randstate_t,Math.Gmp.Native.mp_bitcnt_t) - Generate a uniformly distributed random float in rop, such that 0 ≤ rop < 1, with nbits significant bits in the mantissa or less if the precision of rop is smaller.
M:Math.Gmp.Native.gmp_lib.mpf_random2(Math.Gmp.Native.mpf_t,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_exp_t) - Generate a random float of at most max_size limbs, with long strings of zeros and ones in the binary representation.
@@ -775,27 +775,27 @@ M:Math.Gmp.Native.gmp_lib.mpn_sub_1(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_limb_t) - Subtract s2limb from {s1p, n}, and write the n least significant limbs of the result to rp.
M:Math.Gmp.Native.gmp_lib.mpn_sub(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Subtract {s2p, s2n} from {s1p, s1n}, and write the s1n least significant limbs of the result to rp.
M:Math.Gmp.Native.gmp_lib.mpn_neg(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Perform the negation of {sp, n}, and write the result to {rp, n}.
- M:Math.Gmp.Native.gmp_lib.mpn_mul_n(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Multiply {s1p, n} and {s2p, n}, and write the (2 * n)-limb result to rp.
- M:Math.Gmp.Native.gmp_lib.mpn_mul(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Multiply {s1p, s1n} and {s2p, s2n}, and write the (s1n + s2n)-limb result to rp.
- M:Math.Gmp.Native.gmp_lib.mpn_sqr(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Compute the square of {s1p, n} and write the (2 * n)-limb result to rp.
+ M:Math.Gmp.Native.gmp_lib.mpn_mul_n(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Multiply {s1p, n} and {s2p, n}, and write the (2 * n)-limb result to rp.
+ M:Math.Gmp.Native.gmp_lib.mpn_mul(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Multiply {s1p, s1n} and {s2p, s2n}, and write the (s1n + s2n)-limb result to rp.
+ M:Math.Gmp.Native.gmp_lib.mpn_sqr(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Compute the square of {s1p, n} and write the (2 * n)-limb result to rp.
M:Math.Gmp.Native.gmp_lib.mpn_mul_1(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_limb_t) - Multiply {s1p, n} by s2limb, and write the n least significant limbs of the product to rp.
M:Math.Gmp.Native.gmp_lib.mpn_addmul_1(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_limb_t) - Multiply {s1p, n} and s2limb, and add the n least significant limbs of the product to {rp, n} and write the result to rp.
M:Math.Gmp.Native.gmp_lib.mpn_submul_1(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_limb_t) - Multiply {s1p, n} and s2limb, and subtract the n least significant limbs of the product from {rp, n} and write the result to rp.
- M:Math.Gmp.Native.gmp_lib.mpn_tdiv_qr(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Divide {np, nn} by {dp, dn} and put the quotient at {qp, nn - dn + 1} and the remainder at {rp, dn}.
+ M:Math.Gmp.Native.gmp_lib.mpn_tdiv_qr(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Divide {np, nn} by {dp, dn} and put the quotient at {qp, nn - dn + 1} and the remainder at {rp, dn}.
M:Math.Gmp.Native.gmp_lib.mpn_divrem_1(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_limb_t) - Divide {s2p, s2n} by s3limb, and write the quotient at r1p.
M:Math.Gmp.Native.gmp_lib.mpn_divmod_1(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_limb_t) - Divide {s2p, s2n} by s3limb, and write the quotient at r1p.
M:Math.Gmp.Native.gmp_lib.mpn_divexact_1(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_limb_t) - Divide {sp, n} by d, expecting it to divide exactly, and writing the result to {rrp, n}.
- M:Math.Gmp.Native.gmp_lib.mpn_divexact_by3(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Divide {sp, n} by 3, expecting it to divide exactly, and writing the result to {rp, n}.
- M:Math.Gmp.Native.gmp_lib.mpn_divexact_by3c(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_limb_t) - Divide {sp, n} by 3, expecting it to divide exactly, and writing the result to {rp, n}.
+ M:Math.Gmp.Native.gmp_lib.mpn_divexact_by3(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Divide {sp, n} by 3, expecting it to divide exactly, and writing the result to {rp, n}.
+ M:Math.Gmp.Native.gmp_lib.mpn_divexact_by3c(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_limb_t) - Divide {sp, n} by 3, expecting it to divide exactly, and writing the result to {rp, n}.
M:Math.Gmp.Native.gmp_lib.mpn_mod_1(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_limb_t) - Divide {s1p, s1n} by s2limb, and return the remainder.
M:Math.Gmp.Native.gmp_lib.mpn_lshift(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,System.UInt32) - Shift {sp, n} left by count bits, and write the result to {rp, n}.
M:Math.Gmp.Native.gmp_lib.mpn_rshift(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,System.UInt32) - Shift {sp, n} right by count bits, and write the result to {rp, n}.
M:Math.Gmp.Native.gmp_lib.mpn_cmp(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Compare {s1p, n} and {s2p, n}.
- M:Math.Gmp.Native.gmp_lib.mpn_zero_p(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Test {sp, n} and return 1 if the operand is zero, 0 otherwise.
+ M:Math.Gmp.Native.gmp_lib.mpn_zero_p(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Test {sp, n} and return 1 if the operand is zero, 0 otherwise.
M:Math.Gmp.Native.gmp_lib.mpn_gcd(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Set {rp, retval} to the greatest common divisor of {xp, xn} and {yp, yn}.
M:Math.Gmp.Native.gmp_lib.mpn_gcd_1(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_limb_t) - Return the greatest common divisor of {xp, xn} and ylimb.
- M:Math.Gmp.Native.gmp_lib.mpn_gcdext(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.ptr{Math.Gmp.Native.mp_size_t},Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Compute the greatest common divisor G of U and V. Compute a cofactor S such that G = US + VT.
- M:Math.Gmp.Native.gmp_lib.mpn_sqrtrem(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Compute the square root of {sp, n} and put the result at {r1p, ceil(n / 2)} and the remainder at {r2p, retval}.
+ M:Math.Gmp.Native.gmp_lib.mpn_gcdext(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.ptr{Math.Gmp.Native.mp_size_t},Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Compute the greatest common divisor G of U and V. Compute a cofactor S such that G = US + VT.
+ M:Math.Gmp.Native.gmp_lib.mpn_sqrtrem(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Compute the square root of {sp, n} and put the result at {r1p, ceil(n / 2)} and the remainder at {r2p, retval}.
M:Math.Gmp.Native.gmp_lib.mpn_sizeinbase(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,System.Int32) - Return the size of {xp, n} measured in number of digits in the given base.
M:Math.Gmp.Native.gmp_lib.mpn_get_str(Math.Gmp.Native.char_ptr,System.Int32,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - Convert {s1p, s1n} to a raw unsigned char array at str in base base, and return the number of characters produced.
M:Math.Gmp.Native.gmp_lib.mpn_set_str(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.char_ptr,Math.Gmp.Native.size_t,System.Int32) - Convert bytes {str, strsize} in the given base to limbs at rp.
@@ -826,26 +826,26 @@ Low-level functions for cryptography: - M:Math.Gmp.Native.gmp_lib.mpn_cnd_add_n(Math.Gmp.Native.mp_limb_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - If cnd is non-zero, it produces the same result as a regular , and if cnd is zero, it copies {s1p, n} to the result area and returns zero.
- M:Math.Gmp.Native.gmp_lib.mpn_cnd_sub_n(Math.Gmp.Native.mp_limb_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - If cnd is non-zero, it produces the same result as a regular , and if cnd is zero, it copies {s1p, n} to the result area and returns zero.
- M:Math.Gmp.Native.gmp_lib.mpn_sec_add_1(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_limb_t,Math.Gmp.Native.mp_ptr) - Set R to A + b, where R = {rp, n}, A = {ap, n}, and b is a single limb.
- M:Math.Gmp.Native.gmp_lib.mpn_sec_add_1_itch(Math.Gmp.Native.mp_size_t) - Return the scratch space in number of limbs required by the function .
- M:Math.Gmp.Native.gmp_lib.mpn_sec_sub_1(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_limb_t,Math.Gmp.Native.mp_ptr) - Set R to A - b, where R = {rp, n}, A = {ap, n}, and b is a single limb.
- M:Math.Gmp.Native.gmp_lib.mpn_sec_sub_1_itch(Math.Gmp.Native.mp_size_t) - Return the scratch space in number of limbs required by the function .
+ M:Math.Gmp.Native.gmp_lib.mpn_cnd_add_n(Math.Gmp.Native.mp_limb_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - If cnd is non-zero, it produces the same result as a regular M:Math.Gmp.Native.gmp_lib.mpn_add_n(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t), and if cnd is zero, it copies {s1p, n} to the result area and returns zero.
+ M:Math.Gmp.Native.gmp_lib.mpn_cnd_sub_n(Math.Gmp.Native.mp_limb_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - If cnd is non-zero, it produces the same result as a regular M:Math.Gmp.Native.gmp_lib.mpn_sub_n(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t), and if cnd is zero, it copies {s1p, n} to the result area and returns zero.
+ M:Math.Gmp.Native.gmp_lib.mpn_sec_add_1(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_limb_t,Math.Gmp.Native.mp_ptr) - Set R to A + b, where R = {rp, n}, A = {ap, n}, and b is a single limb.
+ M:Math.Gmp.Native.gmp_lib.mpn_sec_add_1_itch(Math.Gmp.Native.mp_size_t) - Return the scratch space in number of limbs required by the function M:Math.Gmp.Native.gmp_lib.mpn_sec_add_1(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_limb_t,Math.Gmp.Native.mp_ptr).
+ M:Math.Gmp.Native.gmp_lib.mpn_sec_sub_1(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_limb_t,Math.Gmp.Native.mp_ptr) - Set R to A - b, where R = {rp, n}, A = {ap, n}, and b is a single limb.
+ M:Math.Gmp.Native.gmp_lib.mpn_sec_sub_1_itch(Math.Gmp.Native.mp_size_t) - Return the scratch space in number of limbs required by the function M:Math.Gmp.Native.gmp_lib.mpn_sec_sub_1(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_limb_t,Math.Gmp.Native.mp_ptr).
M:Math.Gmp.Native.gmp_lib.mpn_cnd_swap(Math.Gmp.Native.mp_limb_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t) - If cnd is non-zero, swaps the contents of the areas {ap, n} and {bp, n}. Otherwise, the areas are left unmodified.
- M:Math.Gmp.Native.gmp_lib.mpn_sec_mul(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr) - Set R to A * B, where A = {ap, an}, B = {bp, bn}, and R = {rp, an + bn}.
- M:Math.Gmp.Native.gmp_lib.mpn_sec_mul_itch(Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_size_t) - Return the scratch space in number of limbs required by the function .
- M:Math.Gmp.Native.gmp_lib.mpn_sec_sqr(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr) - Set R to A^2, where A = {ap, an}, and R = {rp, 2 * an}.
- M:Math.Gmp.Native.gmp_lib.mpn_sec_sqr_itch(Math.Gmp.Native.mp_size_t) - Return the scratch space in number of limbs required by the function .
- M:Math.Gmp.Native.gmp_lib.mpn_sec_powm(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_bitcnt_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr) - Set R to (B^E) modulo M, where R = {rp, n}, M = {mp, n}, and E = {ep, ceil(enb / )}.
- M:Math.Gmp.Native.gmp_lib.mpn_sec_powm_itch(Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_bitcnt_t,Math.Gmp.Native.mp_size_t) - Return the scratch space in number of limbs required by the function .
+ M:Math.Gmp.Native.gmp_lib.mpn_sec_mul(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr) - Set R to A * B, where A = {ap, an}, B = {bp, bn}, and R = {rp, an + bn}.
+ M:Math.Gmp.Native.gmp_lib.mpn_sec_mul_itch(Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_size_t) - Return the scratch space in number of limbs required by the function M:Math.Gmp.Native.gmp_lib.mpn_sec_mul(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr).
+ M:Math.Gmp.Native.gmp_lib.mpn_sec_sqr(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr) - Set R to A^2, where A = {ap, an}, and R = {rp, 2 * an}.
+ M:Math.Gmp.Native.gmp_lib.mpn_sec_sqr_itch(Math.Gmp.Native.mp_size_t) - Return the scratch space in number of limbs required by the function M:Math.Gmp.Native.gmp_lib.mpn_sec_sqr(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr).
+ M:Math.Gmp.Native.gmp_lib.mpn_sec_powm(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_bitcnt_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr) - Set R to (B^E) modulo M, where R = {rp, n}, M = {mp, n}, and E = {ep, ceil(enb / F:Math.Gmp.Native.gmp_lib.mp_bits_per_limb)}.
+ M:Math.Gmp.Native.gmp_lib.mpn_sec_powm_itch(Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_bitcnt_t,Math.Gmp.Native.mp_size_t) - Return the scratch space in number of limbs required by the function M:Math.Gmp.Native.gmp_lib.mpn_sec_powm(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_bitcnt_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr).
M:Math.Gmp.Native.gmp_lib.mpn_sec_tabselect(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_size_t) - Select entry which from table tab, which has nents entries, each n limbs. Store the selected entry at rp.
- M:Math.Gmp.Native.gmp_lib.mpn_sec_div_qr(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr) - Set Q to the truncated quotient N / D and R to N modulo D, where N = {np, nn}, D = {dp, dn}, Q’s most significant limb is the function return value and the remaining limbs are {qp, nn - dn}, and R = {np, dn}.
- M:Math.Gmp.Native.gmp_lib.mpn_sec_div_qr_itch(Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_size_t) - Return the scratch space in number of limbs required by the function .
- M:Math.Gmp.Native.gmp_lib.mpn_sec_div_r(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr) - Set R to N modulo D, where N = {np, nn}, D = {dp, dn}, and R = {np, dn}.
- M:Math.Gmp.Native.gmp_lib.mpn_sec_div_r_itch(Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_size_t) - Return the scratch space in number of limbs required by the function .
- M:Math.Gmp.Native.gmp_lib.mpn_sec_invert(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_bitcnt_t,Math.Gmp.Native.mp_ptr) - Set R to the inverse of A modulo M, where R = {rp, n}, A = {ap, n}, and M = {mp, n}. This function’s interface is preliminary.
- M:Math.Gmp.Native.gmp_lib.mpn_sec_invert_itch(Math.Gmp.Native.mp_size_t) - Return the scratch space in number of limbs required by the function .
+ M:Math.Gmp.Native.gmp_lib.mpn_sec_div_qr(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr) - Set Q to the truncated quotient N / D and R to N modulo D, where N = {np, nn}, D = {dp, dn}, Q’s most significant limb is the function return value and the remaining limbs are {qp, nn - dn}, and R = {np, dn}.
+ M:Math.Gmp.Native.gmp_lib.mpn_sec_div_qr_itch(Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_size_t) - Return the scratch space in number of limbs required by the function M:Math.Gmp.Native.gmp_lib.mpn_sec_div_qr(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr).
+ M:Math.Gmp.Native.gmp_lib.mpn_sec_div_r(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr) - Set R to N modulo D, where N = {np, nn}, D = {dp, dn}, and R = {np, dn}.
+ M:Math.Gmp.Native.gmp_lib.mpn_sec_div_r_itch(Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_size_t) - Return the scratch space in number of limbs required by the function M:Math.Gmp.Native.gmp_lib.mpn_sec_div_r(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_ptr).
+ M:Math.Gmp.Native.gmp_lib.mpn_sec_invert(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_bitcnt_t,Math.Gmp.Native.mp_ptr) - Set R to the inverse of A modulo M, where R = {rp, n}, A = {ap, n}, and M = {mp, n}. This function’s interface is preliminary.
+ M:Math.Gmp.Native.gmp_lib.mpn_sec_invert_itch(Math.Gmp.Native.mp_size_t) - Return the scratch space in number of limbs required by the function M:Math.Gmp.Native.gmp_lib.mpn_sec_invert(Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_ptr,Math.Gmp.Native.mp_size_t,Math.Gmp.Native.mp_bitcnt_t,Math.Gmp.Native.mp_ptr).
@@ -863,8 +863,8 @@ M:Math.Gmp.Native.gmp_lib.gmp_randinit_default(Math.Gmp.Native.gmp_randstate_t) - Initialize state with a default algorithm.
M:Math.Gmp.Native.gmp_lib.gmp_randinit_mt(Math.Gmp.Native.gmp_randstate_t) - Initialize state for a Mersenne Twister algorithm.
- M:Math.Gmp.Native.gmp_lib.gmp_randinit_lc_2exp(Math.Gmp.Native.gmp_randstate_t,Math.Gmp.Native.mpz_t,System.UInt32,Math.Gmp.Native.mp_bitcnt_t) - Initialize state with a linear congruential algorithm X = (aX + c) mod 2^m2exp.
- M:Math.Gmp.Native.gmp_lib.gmp_randinit_lc_2exp_size(Math.Gmp.Native.gmp_randstate_t,Math.Gmp.Native.mp_bitcnt_t) - Initialize state for a linear congruential algorithm as per .
+ M:Math.Gmp.Native.gmp_lib.gmp_randinit_lc_2exp(Math.Gmp.Native.gmp_randstate_t,Math.Gmp.Native.mpz_t,System.UInt32,Math.Gmp.Native.mp_bitcnt_t) - Initialize state with a linear congruential algorithm X = (aX + c) mod 2^m2exp.
+ M:Math.Gmp.Native.gmp_lib.gmp_randinit_lc_2exp_size(Math.Gmp.Native.gmp_randstate_t,Math.Gmp.Native.mp_bitcnt_t) - Initialize state for a linear congruential algorithm as per M:Math.Gmp.Native.gmp_lib.gmp_randinit_lc_2exp(Math.Gmp.Native.gmp_randstate_t,Math.Gmp.Native.mpz_t,System.UInt32,Math.Gmp.Native.mp_bitcnt_t).
M:Math.Gmp.Native.gmp_lib.gmp_randinit_set(Math.Gmp.Native.gmp_randstate_t,Math.Gmp.Native.gmp_randstate_t) - Initialize rop with a copy of the algorithm and state from op.
M:Math.Gmp.Native.gmp_lib.gmp_randclear(Math.Gmp.Native.gmp_randstate_t) - Free all memory occupied by state.
@@ -883,8 +883,8 @@ Random State Miscellaneous: - M:Math.Gmp.Native.gmp_lib.gmp_urandomb_ui(Math.Gmp.Native.gmp_randstate_t,System.UInt32) - Generate a uniformly distributed random number of n bits, i.e. in the range 0 to 2^n - 1 inclusive.
- M:Math.Gmp.Native.gmp_lib.gmp_urandomm_ui(Math.Gmp.Native.gmp_randstate_t,System.UInt32) - Generate a uniformly distributed random number in the range 0 to n - 1, inclusive.
+ M:Math.Gmp.Native.gmp_lib.gmp_urandomb_ui(Math.Gmp.Native.gmp_randstate_t,System.UInt32) - Generate a uniformly distributed random number of n bits, i.e. in the range 0 to 2^n - 1 inclusive.
+ M:Math.Gmp.Native.gmp_lib.gmp_urandomm_ui(Math.Gmp.Native.gmp_randstate_t,System.UInt32) - Generate a uniformly distributed random number in the range 0 to n - 1, inclusive.
@@ -900,8 +900,8 @@ Formatted Output Functions: - M:Math.Gmp.Native.gmp_lib.gmp_printf(System.String,System.Object[]) - Print to the standard output stdout.
- M:Math.Gmp.Native.gmp_lib.gmp_vprintf(System.String,System.Object[]) - Print to the standard output stdout.
+ M:Math.Gmp.Native.gmp_lib.gmp_printf(System.String,System.Object[]) - Print to the standard output stdout.
+ M:Math.Gmp.Native.gmp_lib.gmp_vprintf(System.String,System.Object[]) - Print to the standard output stdout.
M:Math.Gmp.Native.gmp_lib.gmp_fprintf(Math.Gmp.Native.ptr{Math.Gmp.Native.FILE},System.String,System.Object[]) - Print to the stream fp.
M:Math.Gmp.Native.gmp_lib.gmp_vfprintf(Math.Gmp.Native.ptr{Math.Gmp.Native.FILE},System.String,System.Object[]) - Print to the stream fp.
M:Math.Gmp.Native.gmp_lib.gmp_sprintf(Math.Gmp.Native.char_ptr,System.String,System.Object[]) - Form a null-terminated string in buf.
@@ -925,10 +925,10 @@ Formatted Input Functions:
- M:Math.Gmp.Native.gmp_lib.gmp_scanf(System.String,System.Object[]) - Read from the standard input stdin.
- M:Math.Gmp.Native.gmp_lib.gmp_vscanf(System.String,System.Object[]) - Read from the standard input stdin.
- M:Math.Gmp.Native.gmp_lib.gmp_fscanf(Math.Gmp.Native.ptr{Math.Gmp.Native.FILE},System.String,System.Object[]) - Read from the stream fp.
- M:Math.Gmp.Native.gmp_lib.gmp_vfscanf(Math.Gmp.Native.ptr{Math.Gmp.Native.FILE},System.String,System.Object[]) - Read from the stream fp.
+ M:Math.Gmp.Native.gmp_lib.gmp_scanf(System.String,System.Object[]) - Read from the standard input stdin.
+ M:Math.Gmp.Native.gmp_lib.gmp_vscanf(System.String,System.Object[]) - Read from the standard input stdin.
+ M:Math.Gmp.Native.gmp_lib.gmp_fscanf(Math.Gmp.Native.ptr{Math.Gmp.Native.FILE},System.String,System.Object[]) - Read from the stream fp.
+ M:Math.Gmp.Native.gmp_lib.gmp_vfscanf(Math.Gmp.Native.ptr{Math.Gmp.Native.FILE},System.String,System.Object[]) - Read from the stream fp.
M:Math.Gmp.Native.gmp_lib.gmp_sscanf(System.String,System.String,System.Object[]) - Read from a null-terminated string s.
M:Math.Gmp.Native.gmp_lib.gmp_vsscanf(System.String,System.String,System.Object[]) - Read from a null-terminated string s.
@@ -952,7 +952,7 @@ M:Math.Gmp.Native.gmp_lib.free(Math.Gmp.Native.char_ptr) - De-allocate the space pointed to by ptr.
M:Math.Gmp.Native.gmp_lib.free(Math.Gmp.Native.void_ptr) - De-allocate the space pointed to by ptr.
M:Math.Gmp.Native.gmp_lib.free(Math.Gmp.Native.void_ptr,Math.Gmp.Native.size_t) - De-allocate the space pointed to by ptr.
- M:Math.Gmp.Native.gmp_lib.ZeroMemory(System.IntPtr,System.Int32) - The routine fills a block of memory with zeros, given a pointer to the block and the length, in bytes, to be filled.
+ M:Math.Gmp.Native.gmp_lib.ZeroMemory(System.IntPtr,System.Int32) - The M:Math.Gmp.Native.gmp_lib.ZeroMemory(System.IntPtr,System.Int32) routine fills a block of memory with zeros, given a pointer to the block and the length, in bytes, to be filled.
diff --git a/Math.Gmp.Native/gmp_lib.cs b/Math.Gmp.Native/gmp_lib.cs index 0eebcc1..eec98f2 100644 --- a/Math.Gmp.Native/gmp_lib.cs +++ b/Math.Gmp.Native/gmp_lib.cs @@ -538,7 +538,7 @@ namespace Math.Gmp.Native } /// - /// Initialize with a linear congruential algorithm X = (X + ) mod 2^. + /// Initialize with a linear congruential algorithm X = (X + ) mod 2^. /// /// The state to initialize. /// Parameter of the algorithm. @@ -546,12 +546,12 @@ namespace Math.Gmp.Native /// Parameter of the algorithm. /// /// - /// The low bits of X in this algorithm are not very random. - /// The least significant bit will have a period no more than 2, and the second bit - /// no more than 4, etc. For this reason only the high half of each X is actually used. + /// The low bits of X in this algorithm are not very random. + /// The least significant bit will have a period no more than 2, and the second bit + /// no more than 4, etc. For this reason only the high half of each X is actually used. /// /// - /// When a random number of more than / 2 bits is to be generated, + /// When a random number of more than / 2 bits is to be generated, /// multiple iterations of the recurrence are used and the results concatenated. /// /// @@ -605,8 +605,8 @@ namespace Math.Gmp.Native /// If successful the return value is non-zero. If is bigger than the table data provides then the return value is zero. /// /// - /// a, c and m2exp are selected from a table, chosen so that - /// bits (or more) of each X will be used, i.e. m2exp / 2 ≥ . + /// a, c and m2exp are selected from a table, chosen so that + /// bits (or more) of each X will be used, i.e. m2exp / 2 ≥ . /// /// /// @@ -867,7 +867,7 @@ namespace Math.Gmp.Native } /// - /// Generate a uniformly distributed random number of bits, i.e. in the range 0 to 2^ - 1 inclusive. + /// Generate a uniformly distributed random number of bits, i.e. in the range 0 to 2^ - 1 inclusive. /// /// The state of the random number generator to use. /// The numbe rof bits. @@ -915,7 +915,7 @@ namespace Math.Gmp.Native } /// - /// Generate a uniformly distributed random number in the range 0 to - 1, inclusive. + /// Generate a uniformly distributed random number in the range 0 to - 1, inclusive. /// /// The state of the random number generator to use. /// The upper bound of the range. @@ -971,7 +971,7 @@ namespace Math.Gmp.Native /// The block will be the size of the string and null-terminator. The address of the block in stored to . /// /// - /// Unlike the C library asprintf, doesn’t return -1 if there’s no more memory available, + /// Unlike the C library asprintf, doesn’t return -1 if there’s no more memory available, /// it lets the current allocation function handle that. /// /// @@ -1031,7 +1031,7 @@ namespace Math.Gmp.Native /// File stream. /// Format string. See Formatted Output Strings. /// Arguments. - /// Return the number of characters written, or -1 if an error occurred. + /// Return the number of characters written, or -1 if an error occurred. /// /// /// @@ -1097,11 +1097,11 @@ namespace Math.Gmp.Native //#endif /// - /// Print to the standard output stdout. + /// Print to the standard output stdout. /// /// Format string. See Formatted Output Strings. /// Arguments. - /// Return the number of characters written, or -1 if an error occurred. + /// Return the number of characters written, or -1 if an error occurred. /// /// /// @@ -1149,7 +1149,7 @@ namespace Math.Gmp.Native /// The maximum number of bytes to write. /// Format string. See Formatted Output Strings. /// Arguments. - /// The return value is the total number of characters which ought to have been produced, excluding the terminating null. If retval ≥ then the actual output has been truncated to the first - 1 characters, and a null appended. + /// The return value is the total number of characters which ought to have been produced, excluding the terminating null. If retval ≥ then the actual output has been truncated to the first - 1 characters, and a null appended. /// /// /// No more than bytes will be written. To get the full output, must be enough for the string and null-terminator. @@ -1290,7 +1290,7 @@ namespace Math.Gmp.Native /// The block will be the size of the string and null-terminator. The address of the block in stored to . /// /// - /// Unlike the C library vasprintf, doesn’t return -1 if there’s no more memory available, + /// Unlike the C library vasprintf, doesn’t return -1 if there’s no more memory available, /// it lets the current allocation function handle that. /// /// @@ -1356,7 +1356,7 @@ namespace Math.Gmp.Native /// File stream. /// Format string. See Formatted Output Strings. /// Arguments. - /// Return the number of characters written, or -1 if an error occurred. + /// Return the number of characters written, or -1 if an error occurred. /// /// GNU MP - Formatted Output Functions /// GNU MP - Formatted Output Strings @@ -1417,11 +1417,11 @@ namespace Math.Gmp.Native } /// - /// Print to the standard output stdout. + /// Print to the standard output stdout. /// /// Format string. See Formatted Output Strings. /// Arguments. - /// Return the number of characters written, or -1 if an error occurred. + /// Return the number of characters written, or -1 if an error occurred. /// /// GNU MP - Formatted Output Functions /// GNU MP - Formatted Output Strings @@ -1474,7 +1474,7 @@ namespace Math.Gmp.Native /// The maximum number of bytes to write. /// Format string. See Formatted Output Strings. /// Arguments. - /// The return value is the total number of characters which ought to have been produced, excluding the terminating null. If retval ≥ then the actual output has been truncated to the first - 1 characters, and a null appended. + /// The return value is the total number of characters which ought to have been produced, excluding the terminating null. If retval ≥ then the actual output has been truncated to the first - 1 characters, and a null appended. /// /// /// No more than bytes will be written. To get the full output, must be enough for the string and null-terminator. @@ -1622,7 +1622,7 @@ namespace Math.Gmp.Native #region "Formatted input routines." /// - /// Read from the stream fp. + /// Read from the stream . /// /// File stream. /// Format string. See Formatted Input Strings. @@ -1832,7 +1832,7 @@ namespace Math.Gmp.Native } /// - /// Read from the stream fp. + /// Read from the stream . /// /// File stream. /// Format string. See Formatted Input Strings. @@ -2077,7 +2077,7 @@ namespace Math.Gmp.Native /// The new number of limbs. /// /// - /// The value in is preserved if it fits, or is set to 0 if not. + /// The value in is preserved if it fits, or is set to 0 if not. /// /// /// is the preferred way to accomplish allocation changes like this. @@ -2206,7 +2206,7 @@ namespace Math.Gmp.Native } /// - /// Set to + . + /// Set to + . /// /// The result integer. /// The first operand integer. @@ -2274,7 +2274,7 @@ namespace Math.Gmp.Native } /// - /// Set to + . + /// Set to + . /// /// The result integer. /// The first operand integer. @@ -2327,7 +2327,7 @@ namespace Math.Gmp.Native } /// - /// Set to + * . + /// Set to + * . /// /// The result integer. /// The first operand integer. @@ -2395,7 +2395,7 @@ namespace Math.Gmp.Native } /// - /// Set to + * . + /// Set to + * . /// /// The result integer. /// The first operand integer. @@ -2540,7 +2540,7 @@ namespace Math.Gmp.Native /// /// /// Negative values of n are supported by , using the identity - /// bin(-, ) = (-1)^ * bin( + - 1, ), + /// bin(-, ) = (-1)^ * bin( + - 1, ), /// see Knuth volume 1 section 1.2.6 part G. /// /// @@ -2636,7 +2636,7 @@ namespace Math.Gmp.Native } /// - /// Set the quotient to ceiling( / ). + /// Set the quotient to ceiling( / ). /// /// The result quotient integer. /// The numerator integer. @@ -2711,7 +2711,7 @@ namespace Math.Gmp.Native } /// - /// Set the quotient to ceiling( / 2^). + /// Set the quotient to ceiling( / 2^). /// /// The result quotient integer. /// The numerator integer. @@ -2777,12 +2777,12 @@ namespace Math.Gmp.Native } /// - /// Set the quotient to ceiling( / ), and return the remainder r = | - * |. + /// Set the quotient to ceiling( / ), and return the remainder r = | - * |. /// /// The result quotient integer. /// The numerator integer. /// The denominator integer. - /// Return the remainder r = | - * |. + /// Return the remainder r = | - * |. /// /// /// @@ -2842,7 +2842,7 @@ namespace Math.Gmp.Native } /// - /// Set the quotient to ceiling( / ), and set the remainder to - * . + /// Set the quotient to ceiling( / ), and set the remainder to - * . /// /// The result quotient integer. /// The result remainder integer. @@ -2923,13 +2923,13 @@ namespace Math.Gmp.Native } /// - /// Set quotient to ceiling( / ), set the remainder to - * , and return ||. + /// Set quotient to ceiling( / ), set the remainder to - * , and return | |. /// /// The result quotient integer. /// The result remainder integer. /// The numerator integer. /// The denominator integer. - /// Return ||. + /// Return | |. /// /// /// @@ -2996,7 +2996,7 @@ namespace Math.Gmp.Native } /// - /// Set the remainder to - q * where q = ceiling( / ). + /// Set the remainder to - q * where q = ceiling( / ). /// /// The result remainder integer. /// The numerator integer. @@ -3071,7 +3071,7 @@ namespace Math.Gmp.Native } /// - /// Set the remainder to - q * 2^ where q = ceiling( / 2^). + /// Set the remainder to - q * 2^ where q = ceiling( / 2^). /// /// The result remainder integer. /// The numerator integer. @@ -3136,12 +3136,12 @@ namespace Math.Gmp.Native } /// - /// Set the remainder to - q * where q = ceiling( / ), and return ||. + /// Set the remainder to - q * where q = ceiling( / ), and return | |. /// /// The result remainder integer. /// The numerator integer. /// The denominator integer. - /// Return ||. + /// Return | |. /// /// /// @@ -3203,11 +3203,11 @@ namespace Math.Gmp.Native } /// - /// Return the remainder |r| where r = - q * , and where q = ceiling( / ). + /// Return the remainder | r | where r = - q * , and where q = ceiling( / ). /// /// The numerator integer. /// The denominator integer. - /// The remainder |r| where r = - q * , and where q = ceiling( / ). + /// The remainder | r | where r = - q * , and where q = ceiling( / ). /// /// /// @@ -3359,7 +3359,7 @@ namespace Math.Gmp.Native /// /// /// The function behaves as if twos complement arithmetic were used (although sign-magnitude is the actual implementation). - /// The least significant bit is number 0. + /// The least significant bit is number 0. /// /// /// @@ -3415,7 +3415,7 @@ namespace Math.Gmp.Native /// /// The first operand integer. /// The second operand integer. - /// Return a positive value if > , zero if = , or a negative value if < . + /// Return a positive value if > , zero if = , or a negative value if < . /// /// /// @@ -3468,7 +3468,7 @@ namespace Math.Gmp.Native /// /// The first operand integer. /// The second operand integer. - /// Return a positive value if > , zero if = , or a negative value if < . + /// Return a positive value if > , zero if = , or a negative value if < . /// /// /// can be called with an infinity (see or ), @@ -3518,7 +3518,7 @@ namespace Math.Gmp.Native /// /// The first operand integer. /// The second operand integer. - /// Return a positive value if > , zero if = , or a negative value if < . + /// Return a positive value if > , zero if = , or a negative value if < . /// /// /// @@ -3562,7 +3562,7 @@ namespace Math.Gmp.Native /// /// The first operand integer. /// The second operand integer. - /// Return a positive value if > , zero if = , or a negative value if < . + /// Return a positive value if > , zero if = , or a negative value if < . /// /// /// @@ -3605,7 +3605,7 @@ namespace Math.Gmp.Native /// /// The first operand integer. /// The second operand integer. - /// Return a positive value if || > ||, zero if || = ||, or a negative value if || < ||. + /// Return a positive value if | | > | |, zero if | | = | |, or a negative value if | | < | |. /// /// /// @@ -3658,7 +3658,7 @@ namespace Math.Gmp.Native /// /// The first operand integer. /// The second operand integer. - /// Return a positive value if || > ||, zero if || = ||, or a negative value if || < ||. + /// Return a positive value if | | > | |, zero if | | = | |, or a negative value if | | < | |. /// /// /// can be called with an infinity (see or ), @@ -3708,7 +3708,7 @@ namespace Math.Gmp.Native /// /// The first operand integer. /// The second operand integer. - /// Return a positive value if || > ||, zero if || = ||, or a negative value if || < ||. + /// Return a positive value if | | > | |, zero if | | = | |, or a negative value if | | < | |. /// /// /// @@ -3746,7 +3746,7 @@ namespace Math.Gmp.Native /// /// /// The function behaves as if twos complement arithmetic were used (although sign-magnitude is the actual implementation). - /// The least significant bit is number 0. + /// The least significant bit is number 0. /// /// /// @@ -3815,7 +3815,7 @@ namespace Math.Gmp.Native /// /// /// The function behaves as if twos complement arithmetic were used (although sign-magnitude is the actual implementation). - /// The least significant bit is number 0. + /// The least significant bit is number 0. /// /// /// @@ -3874,10 +3874,10 @@ namespace Math.Gmp.Native /// Non-zero if is congruent to modulo . /// /// - /// is congruent to mod if there exists an integer q - /// satisfying = + q * . - /// Unlike the other division functions, = 0 is accepted and following the rule it can be seen - /// that and are considered congruent mod 0 only when exactly equal. + /// is congruent to mod if there exists an integer q + /// satisfying = + q * . + /// Unlike the other division functions, = 0 is accepted and following the rule it can be seen + /// that and are considered congruent mod 0 only when exactly equal. /// /// /// @@ -3938,16 +3938,16 @@ namespace Math.Gmp.Native } /// - /// Return non-zero if is congruent to modulo 2^. + /// Return non-zero if is congruent to modulo 2^. /// /// An operand integer. - /// The remainder of the division by 2^. + /// The remainder of the division by 2^. /// The exponent of the power of two divisor. - /// Non-zero if is congruent to modulo 2^. + /// Non-zero if is congruent to modulo 2^. /// /// - /// is congruent to mod 2^ if there exists an integer q - /// satisfying = + q * 2^. + /// is congruent to mod 2^ if there exists an integer q + /// satisfying = + q * 2^. /// /// /// @@ -4007,10 +4007,10 @@ namespace Math.Gmp.Native /// Non-zero if is congruent to modulo . /// /// - /// is congruent to mod if there exists an integer q - /// satisfying = + q * . - /// Unlike the other division functions, = 0 is accepted and following the rule it can be seen - /// that and are considered congruent mod 0 only when exactly equal. + /// is congruent to mod if there exists an integer q + /// satisfying = + q * . + /// Unlike the other division functions, = 0 is accepted and following the rule it can be seen + /// that and are considered congruent mod 0 only when exactly equal. /// /// /// @@ -4053,7 +4053,7 @@ namespace Math.Gmp.Native } /// - /// Set to / when it is known in advance that divides . + /// Set to / when it is known in advance that divides . /// /// The result quotient integer. /// The numerator integer. @@ -4121,7 +4121,7 @@ namespace Math.Gmp.Native } /// - /// Set to / when it is known in advance that divides . + /// Set to / when it is known in advance that divides . /// /// The result quotient integer. /// The numerator integer. @@ -4187,10 +4187,10 @@ namespace Math.Gmp.Native /// Non-zero if is exactly divisible by . /// /// - /// is divisible by if there exists an integer q - /// satisfying = q * . Unlike the other division functions, - /// = 0 is accepted and following the rule it can be seen that only 0 is - /// considered divisible by 0. + /// is divisible by if there exists an integer q + /// satisfying = q * . Unlike the other division functions, + /// = 0 is accepted and following the rule it can be seen that only 0 is + /// considered divisible by 0. /// /// /// @@ -4249,10 +4249,10 @@ namespace Math.Gmp.Native /// Non-zero if is exactly divisible by . /// /// - /// is divisible by if there exists an integer q - /// satisfying = q * . Unlike the other division functions, - /// = 0 is accepted and following the rule it can be seen that only 0 is - /// considered divisible by 0. + /// is divisible by if there exists an integer q + /// satisfying = q * . Unlike the other division functions, + /// = 0 is accepted and following the rule it can be seen that only 0 is + /// considered divisible by 0. /// /// /// @@ -4295,15 +4295,15 @@ namespace Math.Gmp.Native } /// - /// Return non-zero if is exactly divisible by 2^. + /// Return non-zero if is exactly divisible by 2^. /// /// The numerator integer. /// The exponent of the power of two denominator integer. - /// Non-zero if is exactly divisible by 2^. + /// Non-zero if is exactly divisible by 2^. /// /// - /// is divisible by 2^ if there exists an integer q - /// satisfying = q * 2^. + /// is divisible by 2^ if there exists an integer q + /// satisfying = q * 2^. /// /// /// @@ -4394,21 +4394,21 @@ namespace Math.Gmp.Native /// /// The result integer. /// The number of words produced. - /// 1 for most significant word first or -1 for least significant first. + /// 1 for most significant word first or -1 for least significant first. /// The number of bytes in each word. - /// 1 for most significant byte first, -1 for least significant first, or 0 for the native endianness of the host CPU. + /// 1 for most significant byte first, -1 for least significant first, or 0 for the native endianness of the host CPU. /// The number of most significant bits to skip. /// The operand integer. /// Either or the allocated block. /// /// /// The parameters specify the format of the data produced. - /// Each word will be bytes and can be 1 for most significant word first - /// or -1 for least significant first. - /// Within each word can be 1 for most significant byte first, - /// -1 for least significant first, or 0 for the native endianness of the host CPU. + /// Each word will be bytes and can be 1 for most significant word first + /// or -1 for least significant first. + /// Within each word can be 1 for most significant byte first, + /// -1 for least significant first, or 0 for the native endianness of the host CPU. /// The most significant bits of each word are unused and set to zero, - /// this can be 0 to produce full words. + /// this can be 0 to produce full words. /// /// /// The number of words produced is written to , or can be NULL to discard the count. @@ -4432,8 +4432,8 @@ namespace Math.Gmp.Native /// /// /// When an application is allocating space itself the required size can be determined with a calculation like the following. - /// Since always returns at least 1, count here will be at least one, which avoids any portability - /// problems with malloc(0), though if z is zero no space at all is actually needed (or written). + /// Since always returns at least 1, count here will be at least one, which avoids any portability + /// problems with malloc(0), though if z is zero no space at all is actually needed (or written). /// /// /// numb = 8 * size - nail; @@ -4529,7 +4529,7 @@ namespace Math.Gmp.Native } /// - /// Set to the factorial !. + /// Set to the factorial !. /// /// The result integer. /// The operand integer. @@ -4573,7 +4573,7 @@ namespace Math.Gmp.Native } /// - /// Set to the double-factorial !!. + /// Set to the double-factorial !!. /// /// The result integer. /// The operand integer. @@ -4617,7 +4617,7 @@ namespace Math.Gmp.Native } /// - /// Set to the m-multi-factorial !^()n. + /// Set to the m-multi-factorial !^()n. /// /// The result integer. /// The first operand integer. @@ -4662,7 +4662,7 @@ namespace Math.Gmp.Native } /// - /// Set to the primorial of , i.e. the product of all positive prime numbers . + /// Set to the primorial of , i.e. the product of all positive prime numbers ≤ . /// /// The result integer. /// The operand integer. @@ -4704,7 +4704,7 @@ namespace Math.Gmp.Native } /// - /// Set the quotient to floor( / ). + /// Set the quotient to floor( / ). /// /// The result quotient integer. /// The numerator integer. @@ -4779,7 +4779,7 @@ namespace Math.Gmp.Native } /// - /// Set the quotient to floor( / 2^). + /// Set the quotient to floor( / 2^). /// /// The result quotient integer. /// The numerator integer. @@ -4845,12 +4845,12 @@ namespace Math.Gmp.Native } /// - /// Set the quotient to floor( / ), and return the remainder r = | - * |. + /// Set the quotient to floor( / ), and return the remainder r = | - * |. /// /// The result quotient integer. /// The numerator integer. /// The denominator integer. - /// Return the remainder r = | - * |. + /// Return the remainder r = | - * |. /// /// /// @@ -4909,7 +4909,7 @@ namespace Math.Gmp.Native } /// - /// Set the quotient to floor( / ), and set the remainder to - * . + /// Set the quotient to floor( / ), and set the remainder to - * . /// /// The result quotient integer. /// The result remainder integer. @@ -4990,13 +4990,13 @@ namespace Math.Gmp.Native } /// - /// Set quotient to floor( / ), set the remainder to - * , and return ||. + /// Set quotient to floor( / ), set the remainder to - * , and return | |. /// /// The result quotient integer. /// The result remainder integer. /// The numerator integer. /// The denominator integer. - /// Return ||. + /// Return | |. /// /// /// @@ -5063,7 +5063,7 @@ namespace Math.Gmp.Native } /// - /// Set the remainder to - q * where q = floor( / ). + /// Set the remainder to - q * where q = floor( / ). /// /// The result remainder integer. /// The numerator integer. @@ -5137,7 +5137,7 @@ namespace Math.Gmp.Native } /// - /// Set the remainder to - q * 2^ where q = floor( / 2^). + /// Set the remainder to - q * 2^ where q = floor( / 2^). /// /// The result remainder integer. /// The numerator integer. @@ -5203,12 +5203,12 @@ namespace Math.Gmp.Native } /// - /// Set the remainder to - q * where q = floor( / ), and return ||. + /// Set the remainder to - q * where q = floor( / ), and return | |. /// /// The result remainder integer. /// The numerator integer. /// The denominator integer. - /// Return ||. + /// Return | |. /// /// /// @@ -5271,11 +5271,11 @@ namespace Math.Gmp.Native } /// - /// Return the remainder |r| where r = - q * , and where q = floor( / ). + /// Return the remainder | r | where r = - q * , and where q = floor( / ). /// /// The numerator integer. /// The denominator integer. - /// The remainder |r| where r = - q * , and where q = floor( / ). + /// The remainder | r | where r = - q * , and where q = floor( / ). /// /// /// @@ -5322,9 +5322,9 @@ namespace Math.Gmp.Native } /// - /// Sets to to F[], the ’th Fibonacci number. + /// Sets to to F[], the ’th Fibonacci number. /// - /// The F[] result. + /// The F[] result. /// The operand integer. /// /// @@ -5374,16 +5374,16 @@ namespace Math.Gmp.Native } /// - /// Sets to F[], and to F[ - 1]. + /// Sets to F[], and to F[ - 1]. /// - /// The F[] result. - /// The F[ - 1] result. + /// The F[] result. + /// The F[ - 1] result. /// The operand integer. /// /// /// This function is designed for calculating isolated Fibonacci numbers. /// When a sequence of values is wanted it’s best to start with - /// and iterate the defining F[n + 1] = F[n] + F[n - 1] or similar. + /// and iterate the defining F[n + 1] = F[n] + F[n - 1] or similar. /// /// /// The Fibonacci numbers and Lucas numbers are related sequences, so it’s never necessary to call both @@ -5709,7 +5709,7 @@ namespace Math.Gmp.Native /// /// /// The result is always positive even if one or both input operands are negative. - /// Except if both inputs are zero; then this function defines gcd(0,0) = 0. + /// Except if both inputs are zero; then this function defines gcd(0,0) = 0. /// /// /// @@ -5770,12 +5770,12 @@ namespace Math.Gmp.Native } /// - /// Compute the greatest common divisor of and . If is not null, store the result there. + /// Compute the greatest common divisor of and . If is not null, store the result there. /// /// The result operand integer. /// The first operand integer. /// The second operand integer. - /// If the result is small enough to fit in an unsigned int, it is returned. If the result does not fit, 0 is returned, and the result is equal to the argument . + /// If the result is small enough to fit in an unsigned int, it is returned. If the result does not fit, 0 is returned, and the result is equal to the argument . /// /// /// Note that the result will always fit if is non-zero. @@ -5814,7 +5814,7 @@ namespace Math.Gmp.Native } /// - /// Set to the greatest common divisor of and , and in addition set and to coefficients satisfying * + * = . + /// Set to the greatest common divisor of and , and in addition set and to coefficients satisfying * + * = . /// /// The greateast common divisor. /// The first result coefficient. @@ -5825,27 +5825,27 @@ namespace Math.Gmp.Native /// /// The value in is always positive, even if one or both of and /// are negative (or zero if both inputs are zero). The values in and are chosen such - /// that normally, || < || / (2 ) - /// and || < || / (2 ), and these relations + /// that normally, | | < | | / (2 ) + /// and | | < | | / (2 ), and these relations /// define and uniquely. There are a few exceptional cases: /// /// - /// If || = ||, then = 0, - /// = sgn(). + /// If | | = | |, then = 0, + /// = sgn(). /// /// - /// Otherwise, = sgn() if = 0 - /// or || = 2 , and = sgn() - /// if = 0 or || = 2 . + /// Otherwise, = sgn() if = 0 + /// or | | = 2 , and = sgn() + /// if = 0 or | | = 2 . /// /// - /// In all cases, = 0 if and only if - /// = ||, i.e., + /// In all cases, = 0 if and only if + /// = | |, i.e., /// if divides - /// or = = 0. + /// or = = 0. /// /// - /// If is null then that value is not computed. + /// If is null then that value is not computed. /// /// /// @@ -5968,9 +5968,9 @@ namespace Math.Gmp.Native /// as a double, truncating if necessary (i.e. rounding towards zero). /// /// - /// The return value is in the range 0.5 ≤ |d| < 1 and the exponent is stored to . - /// d x 2^ is the (truncated) value. - /// If is zero, the return value is 0.0 and 0 is stored to . + /// The return value is in the range 0.5 ≤ | d | < 1 and the exponent is stored to . + /// d x 2^ is the (truncated) value. + /// If is zero, the return value is 0.0 and 0 is stored to . /// /// /// This is similar to the standard C frexp function. @@ -6078,11 +6078,11 @@ namespace Math.Gmp.Native /// A pointer to the result string is returned, being either the allocated block, or the given . /// /// - /// The base argument may vary from 2 to 62 or from −2 to −36. + /// The base argument may vary from 2 to 62 or from −2 to −36. /// /// - /// For base in the range 2..36, digits and lower-case letters are used; for −2..−36, digits and - /// upper-case letters are used; for 37..62, digits, upper-case letters, and lower-case letters (in that + /// For base in the range 2..36, digits and lower-case letters are used; for −2..−36, digits and + /// upper-case letters are used; for 37..62, digits, upper-case letters, and lower-case letters (in that /// significance order) are used. /// /// @@ -6092,7 +6092,7 @@ namespace Math.Gmp.Native /// /// /// If is not , it should point to a block of storage large - /// enough for the result, that being (op, base) + 2. + /// enough for the result, that being (op, base) + 2. /// The two extra bytes are for a possible minus sign, and the null-terminator. /// /// @@ -6191,12 +6191,12 @@ namespace Math.Gmp.Native /// /// /// The sign of is ignored, just the absolute value is used. - /// The least significant limb is number 0. + /// The least significant limb is number 0. /// /// /// can be used to find how many limbs make up . - /// returns zero if is outside the range 0 - /// to mpz_size() - 1. + /// returns zero if is outside the range 0 + /// to mpz_size() - 1. /// /// /// @@ -6269,15 +6269,15 @@ namespace Math.Gmp.Native /// The hamming distance between the two operands. /// /// - /// If and are both ≥ 0 or both < 0, + /// If and are both ≥ 0 or both < 0, /// return the hamming distance between the two operands, which is the number of bit positions where /// and have different bit values. If one operand is - /// ≥ 0 and the other < 0 then the number of bits different is infinite, and the + /// ≥ 0 and the other < 0 then the number of bits different is infinite, and the /// return value is the largest possible . /// /// /// The function behaves as if twos complement arithmetic were used (although sign-magnitude is the actual implementation). - /// The least significant bit is number 0. + /// The least significant bit is number 0. /// /// /// @@ -6336,18 +6336,18 @@ namespace Math.Gmp.Native /// /// The result integer. /// The number of words to read. - /// 1 for most significant word first or -1 for least significant first. + /// 1 for most significant word first or -1 for least significant first. /// The number of bytes in each word. - /// 1 for most significant byte first, -1 for least significant first, or 0 for the native endianness of the host CPU. + /// 1 for most significant byte first, -1 for least significant first, or 0 for the native endianness of the host CPU. /// The number of most significant bits to skip. /// The operand integer. /// /// /// The parameters specify the format of the data. /// many words are read, each bytes. - /// can be 1 for most significant word first or -1 for least significant first. - /// Within each word endian can be 1 for most significant byte first, -1 for least significant first, or 0 for the native endianness of the host CPU. - /// The most significant bits of each word are skipped, this can be 0 to use the full words. + /// can be 1 for most significant word first or -1 for least significant first. + /// Within each word endian can be 1 for most significant byte first, -1 for least significant first, or 0 for the native endianness of the host CPU. + /// The most significant bits of each word are skipped, this can be 0 to use the full words. /// /// /// There is no sign taken from the data, will simply be a positive integer. @@ -6365,10 +6365,10 @@ namespace Math.Gmp.Native /// mpz_import(z, 20, 1, sizeof(a[0]), 0, 0, a); /// /// - /// This example assumes the full sizeof bytes are used for data in the given type, which is usually true, + /// This example assumes the full sizeof bytes are used for data in the given type, which is usually true, /// and certainly true for unsigned long everywhere we know of. However on Cray vector systems it may be noted that short - /// and int are always stored in 8 bytes (and with sizeof indicating that) but use only 32 or 46 bits. - /// The feature can account for this, by passing for instance 8 * sizeof(int) - INT_BIT. + /// and int are always stored in 8 bytes (and with sizeof indicating that) but use only 32 or 46 bits. + /// The feature can account for this, by passing for instance 8 * sizeof(int) - INT_BIT. /// /// /// @@ -6427,7 +6427,7 @@ namespace Math.Gmp.Native } /// - /// Initialize , and set its value to 0. + /// Initialize , and set its value to 0. /// /// The integer. /// @@ -6471,7 +6471,7 @@ namespace Math.Gmp.Native } /// - /// Initialize , with space for -bit numbers, and set its value to 0. + /// Initialize , with space for -bit numbers, and set its value to 0. /// /// The integer. /// The number of bits. @@ -6528,7 +6528,7 @@ namespace Math.Gmp.Native } /// - /// Initialize a NULL-terminated list of variables, and set their values to 0. + /// Initialize a NULL-terminated list of variables, and set their values to 0. /// /// A NULL-terminated list of variables. /// @@ -6724,7 +6724,7 @@ namespace Math.Gmp.Native /// The destination integer. /// The source integer. /// The base. - /// If the string is a correct base number, the function returns 0; if an error occurs it returns −1. is initialized even if an error occurs. + /// If the string is a correct base number, the function returns 0; if an error occurs it returns −1. is initialized even if an error occurs. /// /// /// See for details. @@ -6818,7 +6818,7 @@ namespace Math.Gmp.Native /// /// The result operand. /// Pointer to file stream. - /// Return the number of bytes read, or if an error occurred, return 0. + /// Return the number of bytes read, or if an error occurred, return 0. /// /// /// This routine can read the output from also from GMP 1, @@ -6898,17 +6898,17 @@ namespace Math.Gmp.Native /// The result integer. /// Pointer to file stream. /// The base operand. - /// Return the number of bytes read, or if an error occurred, return 0. + /// Return the number of bytes read, or if an error occurred, return 0. /// /// - /// The may vary from 2 to 62, or if base is 0, - /// then the leading characters are used: 0x and 0X for hexadecimal, - /// 0b and 0B for binary, 0 for octal, or decimal otherwise. + /// The may vary from 2 to 62, or if base is 0, + /// then the leading characters are used: 0x and 0X for hexadecimal, + /// 0b and 0B for binary, 0 for octal, or decimal otherwise. /// /// - /// For bases up to 36, case is ignored; upper-case and lower-case letters have the same value. - /// For bases 37 to 62, upper-case letter represent the usual 10..35 while - /// lower-case letter represent 36..61. + /// For bases up to 36, case is ignored; upper-case and lower-case letters have the same value. + /// For bases 37 to 62, upper-case letter represent the usual 10..35 while + /// lower-case letter represent 36..61. /// /// /// @@ -6984,8 +6984,8 @@ namespace Math.Gmp.Native /// /// /// If the inverse exists, the return value is non-zero and will satisfy - /// 0 ≤ < || (with = 0 - /// possible only when || = 1, i.e., in the somewhat degenerate zero ring). + /// 0 ≤ < | | (with = 0 + /// possible only when | | = 1, i.e., in the somewhat degenerate zero ring). /// If an inverse doesn’t exist the return value is zero and is undefined. /// The behaviour of this function is undefined when is zero. /// @@ -7124,11 +7124,11 @@ namespace Math.Gmp.Native } /// - /// Calculate the Jacobi symbol (/). + /// Calculate the Jacobi symbol (/). /// /// The first operand integer. /// The second operand integer. - /// The Jacobi symbol (/). + /// The Jacobi symbol (/). /// /// /// This is defined only for odd. @@ -7176,11 +7176,11 @@ namespace Math.Gmp.Native } /// - /// Calculate the Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. + /// Calculate the Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. /// /// The first operand integer. /// The second operand integer. - /// The Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. + /// The Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. /// /// /// When is odd the Jacobi symbol and Kronecker symbol are identical, @@ -7233,11 +7233,11 @@ namespace Math.Gmp.Native } /// - /// Calculate the Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. + /// Calculate the Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. /// /// The first operand integer. /// The second operand integer. - /// The Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. + /// The Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. /// /// /// When is odd the Jacobi symbol and Kronecker symbol are identical, @@ -7281,11 +7281,11 @@ namespace Math.Gmp.Native } /// - /// Calculate the Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. + /// Calculate the Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. /// /// The first operand integer. /// The second operand integer. - /// The Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. + /// The Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. /// /// /// When is odd the Jacobi symbol and Kronecker symbol are identical, @@ -7329,11 +7329,11 @@ namespace Math.Gmp.Native } /// - /// Calculate the Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. + /// Calculate the Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. /// /// The first operand integer. /// The second operand integer. - /// The Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. + /// The Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. /// /// /// When is odd the Jacobi symbol and Kronecker symbol are identical, @@ -7377,11 +7377,11 @@ namespace Math.Gmp.Native } /// - /// Calculate the Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. + /// Calculate the Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. /// /// The first operand integer. /// The second operand integer. - /// The Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. + /// The Jacobi symbol (/) with the Kronecker extension (/2) = (2/) when odd, or (/2) = 0 when even. /// /// /// When is odd the Jacobi symbol and Kronecker symbol are identical, @@ -7573,9 +7573,9 @@ namespace Math.Gmp.Native } /// - /// Sets to to L[], the ’th Lucas number. + /// Sets to to L[], the ’th Lucas number. /// - /// The L[] result. + /// The L[] result. /// The operand integer. /// /// @@ -7625,16 +7625,16 @@ namespace Math.Gmp.Native } /// - /// Sets to L[], and to L[ - 1]. + /// Sets to L[], and to L[ - 1]. /// - /// The L[] result. - /// The L[ - 1] result. + /// The L[] result. + /// The L[ - 1] result. /// The operand integer. /// /// /// This function is designed for calculating isolated Lucas numbers. /// When a sequence of values is wanted it’s best to start with - /// and iterate the defining L[n + 1] = L[n] + L[n - 1] or similar. + /// and iterate the defining L[n + 1] = L[n] + L[n - 1] or similar. /// /// /// The Fibonacci numbers and Lucas numbers are related sequences, so it’s never necessary to call both @@ -7692,10 +7692,10 @@ namespace Math.Gmp.Native /// /// The operand integer. /// The number of internal passes of the probabilistic algorithm. - /// If the function returns 0 then is not prime. If it returns 1, then is 'probably' prime. + /// If the function returns 0 then is not prime. If it returns 1, then is 'probably' prime. /// /// - /// The probability of a false positive is (1/4)^, where + /// The probability of a false positive is (1/4)^, where /// is the number of internal passes of the probabilistic algorithm. /// Knuth indicates that 25 passes are reasonable. /// @@ -7733,7 +7733,7 @@ namespace Math.Gmp.Native } /// - /// Set to mod . + /// Set to mod . /// /// The result remainder integer. /// The numerator integer. @@ -7806,7 +7806,7 @@ namespace Math.Gmp.Native } /// - /// Set to mod . + /// Set to mod . /// /// The result remainder integer. /// The numerator integer. @@ -7875,7 +7875,7 @@ namespace Math.Gmp.Native } /// - /// Set to * . + /// Set to * . /// /// The result integer. /// The first operand integer. @@ -7945,7 +7945,7 @@ namespace Math.Gmp.Native } /// - /// Set to * 2^. + /// Set to * 2^. /// /// The result integer. /// The first operand integer. @@ -8011,7 +8011,7 @@ namespace Math.Gmp.Native } /// - /// Set to * . + /// Set to * . /// /// The result integer. /// The first operand integer. @@ -8072,7 +8072,7 @@ namespace Math.Gmp.Native } /// - /// Set to * . + /// Set to * . /// /// The result integer. /// The first operand integer. @@ -8133,7 +8133,7 @@ namespace Math.Gmp.Native } /// - /// Set to -. + /// Set to -. /// /// The result integer. /// The operand integer. @@ -8299,7 +8299,7 @@ namespace Math.Gmp.Native /// /// Pointer to file streama. /// The operand integer. - /// Return the number of bytes written, or if an error occurred, return 0. + /// Return the number of bytes written, or if an error occurred, return 0. /// /// /// The integer is written in a portable format, with 4 bytes of size information, and that many bytes of limbs. @@ -8390,14 +8390,14 @@ namespace Math.Gmp.Native /// Pointer to file stream. /// The base operand. /// The operand integer. - /// Return the number of bytes written, or if an error occurred, return 0. + /// Return the number of bytes written, or if an error occurred, return 0. /// /// - /// The argument may vary from 2 to 62 or from -2 to -36. + /// The argument may vary from 2 to 62 or from -2 to -36. /// /// - /// For in the range 2..36, digits and lower-case letters are used; - /// for -2..-36, digits and upper-case letters are used; for 37..62, digits, upper-case letters, + /// For in the range 2..36, digits and lower-case letters are used; + /// for -2..-36, digits and upper-case letters are used; for 37..62, digits, upper-case letters, /// and lower-case letters (in that significance order) are used. /// /// @@ -8473,13 +8473,13 @@ namespace Math.Gmp.Native } /// - /// Return non-zero if is a perfect power, i.e., if there exist integers a and b, with b > 1, such that = a^b. + /// Return non-zero if is a perfect power, i.e., if there exist integers a and b, with b > 1, such that = a^b. /// /// The operand integer. - /// Non-zero if is a perfect power, i.e., if there exist integers a and b, with b > 1, such that = a^b. + /// Non-zero if is a perfect power, i.e., if there exist integers a and b, with b > 1, such that = a^b. /// /// - /// Under this definition both 0 and 1 are considered to be perfect powers. Negative values of are accepted, but of course can only be odd perfect powers. + /// Under this definition both 0 and 1 are considered to be perfect powers. Negative values of are accepted, but of course can only be odd perfect powers. /// /// /// @@ -8525,7 +8525,7 @@ namespace Math.Gmp.Native /// Non-zero if is a perfect square, i.e., if the square root of is an integer. /// /// - /// Under this definition both 0 and 1 are considered to be perfect squares. + /// Under this definition both 0 and 1 are considered to be perfect squares. /// /// /// @@ -8568,11 +8568,11 @@ namespace Math.Gmp.Native /// Return the population count of . /// /// The operand integer. - /// If ≥ 0, return the population count of , which is the number of 1 bits in the binary representation. If < 0, the number of 1s is infinite, and the return value is the largest possible . + /// If ≥ 0, return the population count of , which is the number of 1 bits in the binary representation. If < 0, the number of 1s is infinite, and the return value is the largest possible . /// /// /// The function behaves as if twos complement arithmetic were used (although sign-magnitude is the actual implementation). - /// The least significant bit is number 0. + /// The least significant bit is number 0. /// /// /// @@ -8617,7 +8617,7 @@ namespace Math.Gmp.Native } /// - /// Set to ^. The case 0^0 yields 1. + /// Set to ^. The case 0^0 yields 1. /// /// The result integer. /// The base integer. @@ -8673,7 +8673,7 @@ namespace Math.Gmp.Native } /// - /// Set to (^) modulo . + /// Set to (^) modulo . /// /// The result integer. /// The base integer. @@ -8681,7 +8681,7 @@ namespace Math.Gmp.Native /// The modulo integer. /// /// - /// Negative is supported if an inverse ^-1 modulo exists (see ). + /// Negative is supported if an inverse ^-1 modulo exists (see ). /// If an inverse doesn’t exist then a divide by zero is raised. /// /// @@ -8754,7 +8754,7 @@ namespace Math.Gmp.Native } /// - /// Set to (^) modulo . + /// Set to (^) modulo . /// /// The result integer. /// The base integer. @@ -8762,7 +8762,7 @@ namespace Math.Gmp.Native /// The modulo integer. /// /// - /// It is required that > 0 and that is odd. + /// It is required that > 0 and that is odd. /// /// /// This function is designed to take the same time and have the same cache access patterns for any two same-size arguments, @@ -8839,7 +8839,7 @@ namespace Math.Gmp.Native } /// - /// Set to (^) modulo . + /// Set to (^) modulo . /// /// The result integer. /// The base integer. @@ -8847,7 +8847,7 @@ namespace Math.Gmp.Native /// The modulo integer. /// /// - /// Negative is supported if an inverse ^-1 modulo exists (see ). + /// Negative is supported if an inverse ^-1 modulo exists (see ). /// If an inverse doesn’t exist then a divide by zero is raised. /// /// @@ -8912,13 +8912,13 @@ namespace Math.Gmp.Native /// /// The operand integer. /// The number of Miller-Rabin probabilistic primality tests to perform. - /// Return 2 if is definitely prime, return 1 if is probably prime (without being certain), or return 0 if is definitely non-prime. + /// Return 2 if is definitely prime, return 1 if is probably prime (without being certain), or return 0 if is definitely non-prime. /// /// /// This function performs some trial divisions, then Miller-Rabin probabilistic primality tests. /// A higher value will reduce the chances of a non-prime being identified as “probably prime”. - /// A composite number will be identified as a prime with a probability of less than 4^(-reps). - /// Reasonable values of are between 15 and 50. + /// A composite number will be identified as a prime with a probability of less than 4^(-reps). + /// Reasonable values of are between 15 and 50. /// /// /// @@ -9071,7 +9071,7 @@ namespace Math.Gmp.Native /// The number of bits. /// /// - /// The value in is preserved if it fits, or is set to 0 if not. + /// The value in is preserved if it fits, or is set to 0 if not. /// /// /// Calling this function is never necessary; reallocation is handled automatically by GMP when @@ -9260,7 +9260,7 @@ namespace Math.Gmp.Native } /// - /// Set to the truncated integer part of the th root of . Set to the remainder, - ^. + /// Set to the truncated integer part of the th root of . Set to the remainder, - ^. /// /// The result root integer. /// The result remainder integer. @@ -9332,7 +9332,7 @@ namespace Math.Gmp.Native /// /// Useful for testing functions and algorithms, since this kind of random numbers have proven to be more /// likely to trigger corner-case bugs. The random number will be in the - /// range 2^( - 1) to 2^ - 1, inclusive. + /// range 2^( - 1) to 2^ - 1, inclusive. /// /// /// The variable must be initialized by calling one of the gmp_randinit @@ -9394,7 +9394,7 @@ namespace Math.Gmp.Native } /// - /// Scan for 0 bit. + /// Scan for 0 bit. /// /// The operand integer. /// The start bit index position. @@ -9402,7 +9402,7 @@ namespace Math.Gmp.Native /// /// /// Scan , starting from bit , towards more significant bits, - /// until the first 0 bit is found. Return the index of the found bit. + /// until the first 0 bit is found. Return the index of the found bit. /// /// /// If the bit at is already what’s sought, @@ -9415,7 +9415,7 @@ namespace Math.Gmp.Native /// /// /// The function behaves as if twos complement arithmetic were used (although sign-magnitude is the actual implementation). - /// The least significant bit is number 0. + /// The least significant bit is number 0. /// /// /// @@ -9461,7 +9461,7 @@ namespace Math.Gmp.Native } /// - /// Scan for 1 bit. + /// Scan for 1 bit. /// /// The operand integer. /// The start bit index position. @@ -9469,7 +9469,7 @@ namespace Math.Gmp.Native /// /// /// Scan , starting from bit , towards more significant bits, - /// until the first 1 bit is found. Return the index of the found bit. + /// until the first 1 bit is found. Return the index of the found bit. /// /// /// If the bit at is already what’s sought, @@ -9482,7 +9482,7 @@ namespace Math.Gmp.Native /// /// /// The function behaves as if twos complement arithmetic were used (although sign-magnitude is the actual implementation). - /// The least significant bit is number 0. + /// The least significant bit is number 0. /// /// /// @@ -9815,20 +9815,20 @@ namespace Math.Gmp.Native /// The destination integer. /// The source integer. /// The base. - /// This function returns 0 if the entire string is a valid number in base . Otherwise it returns −1. + /// This function returns 0 if the entire string is a valid number in base . Otherwise it returns −1. /// /// /// White space is allowed in the string, and is simply ignored. /// /// - /// The base may vary from 2 to 62, or if base is 0, then the leading characters are - /// used: 0x and 0X for hexadecimal, 0b and 0B for binary, 0 for octal, + /// The base may vary from 2 to 62, or if base is 0, then the leading characters are + /// used: 0x and 0X for hexadecimal, 0b and 0B for binary, 0 for octal, /// or decimal otherwise. /// /// - /// For bases up to 36, case is ignored; upper-case and lower-case letters have the same value. - /// For bases 37 to 62, upper-case letter represent the usual 10..35 while lower-case - /// letter represent 36..61. + /// For bases up to 36, case is ignored; upper-case and lower-case letters have the same value. + /// For bases 37 to 62, upper-case letter represent the usual 10..35 while lower-case + /// letter represent 36..61. /// /// /// @@ -9941,7 +9941,7 @@ namespace Math.Gmp.Native /// /// /// The function behaves as if twos complement arithmetic were used (although sign-magnitude is the actual implementation). - /// The least significant bit is number 0. + /// The least significant bit is number 0. /// /// /// @@ -9993,10 +9993,10 @@ namespace Math.Gmp.Native } /// - /// Return +1 if > 0, 0 if = 0, and -1 if < 0. + /// Return +1 if > 0, 0 if = 0, and -1 if < 0. /// /// The operand integer. - /// Return +1 if > 0, 0 if = 0, and -1 if < 0. + /// Return +1 if > 0, 0 if = 0, and -1 if < 0. /// /// /// @@ -10102,11 +10102,11 @@ namespace Math.Gmp.Native /// The size of measured in number of digits in the given . /// /// - /// can vary from 2 to 62. + /// can vary from 2 to 62. /// The sign of is ignored, just the absolute value is used. /// The result will be either exact or 1 too big. /// If is a power of 2, the result is always exact. - /// If is zero the return value is always 1. + /// If is zero the return value is always 1. /// /// /// This function can be used to determine the space required when converting to a string. @@ -10114,9 +10114,9 @@ namespace Math.Gmp.Native /// one extra for a minus sign and one for the null-terminator. /// /// - /// It will be noted that mpz_sizeinbase(, 2) can be used to locate the most - /// significant 1 bit in , counting from 1. - /// (Unlike the bitwise functions which start from 0, + /// It will be noted that mpz_sizeinbase(, 2) can be used to locate the most + /// significant 1 bit in , counting from 1. + /// (Unlike the bitwise functions which start from 0, /// see GNU MP - Logical and Bit Manipulation Functions.) /// /// @@ -10225,7 +10225,7 @@ namespace Math.Gmp.Native } /// - /// Set to the truncated integer part of the square root of , like . Set to the remainder - * , which will be zero if is a perfect square. + /// Set to the truncated integer part of the square root of , like . Set to the remainder - * , which will be zero if is a perfect square. /// /// The result square root integer. /// The result remainder integer. @@ -10287,7 +10287,7 @@ namespace Math.Gmp.Native } /// - /// Set to - . + /// Set to - . /// /// The result integer. /// The first operand integer. @@ -10356,7 +10356,7 @@ namespace Math.Gmp.Native } /// - /// Set to - . + /// Set to - . /// /// The result integer. /// The first operand integer. @@ -10416,7 +10416,7 @@ namespace Math.Gmp.Native } /// - /// Set to - . + /// Set to - . /// /// The result integer. /// The first operand integer. @@ -10476,7 +10476,7 @@ namespace Math.Gmp.Native } /// - /// Set to - * . + /// Set to - * . /// /// The result integer. /// The first operand integer. @@ -10544,7 +10544,7 @@ namespace Math.Gmp.Native } /// - /// Set to - * . + /// Set to - * . /// /// The result integer. /// The first operand integer. @@ -10663,11 +10663,11 @@ namespace Math.Gmp.Native } /// - /// Return the remainder |r| where r = - q * , and where q = trunc( / ). + /// Return the remainder | r | where r = - q * , and where q = trunc( / ). /// /// The numerator integer. /// The denominator integer. - /// The remainder |r| where r = - q * , and where q = trunc( / ). + /// The remainder | r | where r = - q * , and where q = trunc( / ). /// /// /// @@ -10714,7 +10714,7 @@ namespace Math.Gmp.Native } /// - /// Set the quotient to trunc( / ). + /// Set the quotient to trunc( / ). /// /// The result quotient integer. /// The numerator integer. @@ -10789,7 +10789,7 @@ namespace Math.Gmp.Native } /// - /// Set the quotient to trunc( / 2^). + /// Set the quotient to trunc( / 2^). /// /// The result quotient integer. /// The numerator integer. @@ -10855,12 +10855,12 @@ namespace Math.Gmp.Native } /// - /// Set the quotient to trunc( / ), and return the remainder r = | - * |. + /// Set the quotient to trunc( / ), and return the remainder r = | - * |. /// /// The result quotient integer. /// The numerator integer. /// The denominator integer. - /// Return the remainder r = | - * |. + /// Return the remainder r = | - * |. /// /// /// @@ -10920,7 +10920,7 @@ namespace Math.Gmp.Native } /// - /// Set the quotient to trunc( / ), and set the remainder to - * . + /// Set the quotient to trunc( / ), and set the remainder to - * . /// /// The result quotient integer. /// The result remainder integer. @@ -11001,13 +11001,13 @@ namespace Math.Gmp.Native } /// - /// Set quotient to trunc( / ), set the remainder to - * , and return ||. + /// Set quotient to trunc( / ), set the remainder to - * , and return | |. /// /// The result quotient integer. /// The result remainder integer. /// The numerator integer. /// The denominator integer. - /// Return ||. + /// Return | |. /// /// /// @@ -11074,7 +11074,7 @@ namespace Math.Gmp.Native } /// - /// Set the remainder to - q * where q = trunc( / ). + /// Set the remainder to - q * where q = trunc( / ). /// /// The result remainder integer. /// The numerator integer. @@ -11149,7 +11149,7 @@ namespace Math.Gmp.Native } /// - /// Set the remainder to - q * 2^ where q = trunc( / 2^). + /// Set the remainder to - q * 2^ where q = trunc( / 2^). /// /// The result remainder integer. /// The numerator integer. @@ -11215,12 +11215,12 @@ namespace Math.Gmp.Native } /// - /// Set the remainder to - q * where q = trunc( / ), and return ||. + /// Set the remainder to - q * where q = trunc( / ), and return | |. /// /// The result remainder integer. /// The numerator integer. /// The denominator integer. - /// Return ||. + /// Return | |. /// /// /// @@ -11282,15 +11282,15 @@ namespace Math.Gmp.Native } /// - /// Test bit in and return 0 or 1 accordingly. + /// Test bit in and return 0 or 1 accordingly. /// /// /// - /// Test bit in and return 0 or 1 accordingly. + /// Test bit in and return 0 or 1 accordingly. /// /// /// The function behaves as if twos complement arithmetic were used (although sign-magnitude is the actual implementation). - /// The least significant bit is number 0. + /// The least significant bit is number 0. /// /// /// @@ -11336,7 +11336,7 @@ namespace Math.Gmp.Native } /// - /// Set to ^. The case 0^0 yields 1. + /// Set to ^. The case 0^0 yields 1. /// /// The result integer. /// The base integer. @@ -11383,7 +11383,7 @@ namespace Math.Gmp.Native } /// - /// Generate a uniformly distributed random integer in the range 0 to 2^ - 1, inclusive. + /// Generate a uniformly distributed random integer in the range 0 to 2^ - 1, inclusive. /// /// The result integer. /// The random number generator state. @@ -11449,7 +11449,7 @@ namespace Math.Gmp.Native } /// - /// Generate a uniform random integer in the range 0 to - 1, inclusive. + /// Generate a uniform random integer in the range 0 to - 1, inclusive. /// /// The result integer. /// The random number generator state. @@ -11610,7 +11610,7 @@ namespace Math.Gmp.Native /// A pointer to the limb array representing the absolute value of . /// /// - /// The size of the array is (x). Intended for read access only. + /// The size of the array is (x). Intended for read access only. /// /// /// @@ -11679,7 +11679,7 @@ namespace Math.Gmp.Native /// /// /// The array is reallocated as needed, to make room for limbs. - /// Requires > 0. + /// Requires > 0. /// The function may destroy the old value and /// return an array with unspecified contents. /// @@ -11756,7 +11756,7 @@ namespace Math.Gmp.Native /// /// /// The array is reallocated as needed, to make room for limbs. - /// Requires > 0. + /// Requires > 0. /// The function returns an array that holds the old absolute /// value of /// @@ -11830,7 +11830,7 @@ namespace Math.Gmp.Native /// /// /// Used after writing to the limb array pointer returned by - /// or is completed. The array should contain || + /// or is completed. The array should contain | | /// valid limbs, representing the new absolute value for , and the sign of /// is taken from the sign of . /// This function never reallocates , so the limb pointer remains valid. @@ -11873,7 +11873,7 @@ namespace Math.Gmp.Native /// /// /// should be treated as readonly: it can be passed safely as input to any mpz function, but not as an output. - /// The array must point to at least a readable limb, its size is ||, and the + /// The array must point to at least a readable limb, its size is | |, and the /// sign of is the sign of . /// /// @@ -11982,7 +11982,7 @@ namespace Math.Gmp.Native } /// - /// Set to + . + /// Set to + . /// /// The result rational. /// The first operand rational. @@ -12148,7 +12148,7 @@ namespace Math.Gmp.Native /// /// The first operand rational. /// The second operand rational. - /// Return a positive value if > , zero if = , and a negative value if < . + /// Return a positive value if > , zero if = , and a negative value if < . /// /// /// To determine if two rationals are equal, is faster than . @@ -12204,12 +12204,12 @@ namespace Math.Gmp.Native } /// - /// Compare and / . + /// Compare and / . /// /// The first operand rational. /// The second operand numerator integer. /// The second operand denominator integer. - /// Return a positive value if > / , zero if = / , and a negative value if < / . + /// Return a positive value if > / , zero if = / , and a negative value if < / . /// /// /// and are allowed to have common factors. @@ -12254,12 +12254,12 @@ namespace Math.Gmp.Native } /// - /// Compare and / . + /// Compare and / . /// /// The first operand rational. /// The second operand numerator integer. /// The second operand denominator integer. - /// Return a positive value if > / , zero if = / , and a negative value if < / . + /// Return a positive value if > / , zero if = / , and a negative value if < / . /// /// /// and are allowed to have common factors. @@ -12308,7 +12308,7 @@ namespace Math.Gmp.Native /// /// The first operand rational. /// The second operand rational. - /// Return a positive value if > , zero if = , and a negative value if < . + /// Return a positive value if > , zero if = , and a negative value if < . /// /// /// To determine if two rationals are equal, is faster than . @@ -12422,7 +12422,7 @@ namespace Math.Gmp.Native } /// - /// Set to / . + /// Set to / . /// /// The result rational. /// The first operand rational. @@ -12451,7 +12451,7 @@ namespace Math.Gmp.Native } /// - /// Set to / 2^. + /// Set to / 2^. /// /// The result rational. /// The first operand rational. @@ -12688,7 +12688,7 @@ namespace Math.Gmp.Native /// /// If the exponent from the conversion is too big or too small to fit a then the result is system dependent. /// For too big an infinity is returned when available. - /// For too small 0.0 is normally returned. + /// For too small 0.0 is normally returned. /// Hardware overflow, underflow and denorm traps may or may not occur. /// /// @@ -12737,12 +12737,12 @@ namespace Math.Gmp.Native /// A pointer to the result string is returned, being either the allocated block, or the given . /// /// - /// The base may vary from 2 to 36. The string will be of the form "num/den", or if the denominator is 1 then just "num". + /// The base may vary from 2 to 36. The string will be of the form "num/den", or if the denominator is 1 then just "num". /// /// /// If is NULL, the result string is allocated using the current allocation function /// (see GNU MP - Custom Allocation). - /// The block will be strlen() + 1 bytes, that being exactly enough for the string and null-terminator. + /// The block will be strlen() + 1 bytes, that being exactly enough for the string and null-terminator. /// /// /// If is not NULL, it should point to a block of storage large enough for the result, that being @@ -12795,7 +12795,7 @@ namespace Math.Gmp.Native } /// - /// Initialize and set it to 0/1. + /// Initialize and set it to 0/1. /// /// The operand rational. /// @@ -12850,7 +12850,7 @@ namespace Math.Gmp.Native } /// - /// Initialize a NULL-terminated list of variables, and set their values to 0/1. + /// Initialize a NULL-terminated list of variables, and set their values to 0/1. /// /// The operand rational. /// @@ -12912,7 +12912,7 @@ namespace Math.Gmp.Native /// The result rational. /// Pointer to file stream. /// The base. - /// Return the number of characters read (including white space), or 0 if a rational could not be read. + /// Return the number of characters read (including white space), or 0 if a rational could not be read. /// /// /// Any initial white-space characters are read and discarded. @@ -12924,10 +12924,10 @@ namespace Math.Gmp.Native /// (see GNU MP - Rational Number Functions). /// /// - /// The base can be between 2 and 36, or can be 0 in which case the leading characters - /// of the string determine the base, "0x" or "0X" for hexadecimal, "0" for octal, or decimal otherwise. + /// The base can be between 2 and 36, or can be 0 in which case the leading characters + /// of the string determine the base, "0x" or "0X" for hexadecimal, "0" for octal, or decimal otherwise. /// The leading characters are examined separately for the numerator and denominator of a fraction, so for instance - /// "0x10/11" is 16/11, whereas "0x10/0x11" is 16/17. + /// "0x10/11" is 16/11, whereas "0x10/0x11" is 16/17. /// /// /// @@ -12992,7 +12992,7 @@ namespace Math.Gmp.Native } /// - /// Set to 1 / . + /// Set to 1 / . /// /// The result rational. /// The operand rational. @@ -13024,7 +13024,7 @@ namespace Math.Gmp.Native } /// - /// Set to * . + /// Set to * . /// /// The result rational. /// The first operand rational. @@ -13053,7 +13053,7 @@ namespace Math.Gmp.Native } /// - /// Set to * 2*. + /// Set to * 2*. /// /// The result rational. /// The first operand rational. @@ -13081,7 +13081,7 @@ namespace Math.Gmp.Native } /// - /// Set to -. + /// Set to -. /// /// The result rational. /// The operand rational. @@ -13169,11 +13169,11 @@ namespace Math.Gmp.Native /// Pointer to file stream. /// The base. /// The operand rational. - /// Return the number of bytes written, or if an error occurred, return 0. + /// Return the number of bytes written, or if an error occurred, return 0. /// /// - /// The may vary from 2 to 36. - /// Output is in the form "num/den" or if the denominator is 1 then just "num". + /// The may vary from 2 to 36. + /// Output is in the form "num/den" or if the denominator is 1 then just "num". /// /// /// @@ -13550,7 +13550,7 @@ namespace Math.Gmp.Native } /// - /// Set the value of to / . + /// Set the value of to / . /// /// The result rational. /// The first operand rational. @@ -13615,10 +13615,10 @@ namespace Math.Gmp.Native /// The result rational. /// The source string. /// The base, - /// The return value is 0 if the entire string is a valid number, or -1 if not. + /// The return value is 0 if the entire string is a valid number, or -1 if not. /// /// - /// The string can be an integer like "41" or a fraction like "41/152". + /// The string can be an integer like "41" or a fraction like "41/152". /// The fraction must be in canonical form /// (see GNU MP - Rational Number Functions), /// or if not then must be called. @@ -13627,10 +13627,10 @@ namespace Math.Gmp.Native /// The numerator and optional denominator are parsed the same as in /// (see GNU MP - Assigning Integers). /// White space is allowed in the string, and is simply ignored. - /// The base can vary from 2 to 62, or if is 0 then the leading characters are used: - /// 0x or 0X for hex, 0b or 0B for binary, 0 for octal, or decimal otherwise. - /// Note that this is done separately for the numerator and denominator, so for instance 0xEF/100 is 239/100, - /// whereas 0xEF/0x100 is 239/256. + /// The base can vary from 2 to 62, or if is 0 then the leading characters are used: + /// 0x or 0X for hex, 0b or 0B for binary, 0 for octal, or decimal otherwise. + /// Note that this is done separately for the numerator and denominator, so for instance 0xEF/100 is 239/100, + /// whereas 0xEF/0x100 is 239/256. /// /// /// @@ -13673,7 +13673,7 @@ namespace Math.Gmp.Native } /// - /// Set the value of to / . + /// Set the value of to / . /// /// The result rational. /// The first operand rational. @@ -13800,10 +13800,10 @@ namespace Math.Gmp.Native } /// - /// Return +1 if > 0, 0 if = 0, and -1 if < 0. + /// Return +1 if > 0, 0 if = 0, and -1 if < 0. /// /// The operand rational. - /// Return +1 if > 0, 0 if = 0, and -1 if < 0. + /// Return +1 if > 0, 0 if = 0, and -1 if < 0. /// /// /// @@ -13843,7 +13843,7 @@ namespace Math.Gmp.Native } /// - /// Set to - . + /// Set to - . /// /// The result rational. /// The first operand rational. @@ -13943,7 +13943,7 @@ namespace Math.Gmp.Native #region "Float (i.e. F) routines." /// - /// Set to ||. + /// Set to | |. /// /// The result float. /// The operand. @@ -14008,7 +14008,7 @@ namespace Math.Gmp.Native } /// - /// Set to + . + /// Set to + . /// /// The result float. /// The first operand. @@ -14083,7 +14083,7 @@ namespace Math.Gmp.Native } /// - /// Set to + . + /// Set to + . /// /// The result float. /// The first operand. @@ -14333,7 +14333,7 @@ namespace Math.Gmp.Native /// /// The first operand float. /// The second operand float. - /// Return a positive value if op1 > op2, zero if op1 = op2, and a negative value if op1 < op2. + /// Return a positive value if op1 > op2, zero if op1 = op2, and a negative value if op1 < op2. /// /// /// @@ -14392,7 +14392,7 @@ namespace Math.Gmp.Native /// /// The first operand float. /// The second operand float. - /// Return a positive value if op1 > op2, zero if op1 = op2, and a negative value if op1 < op2. + /// Return a positive value if op1 > op2, zero if op1 = op2, and a negative value if op1 < op2. /// /// /// @@ -14451,10 +14451,10 @@ namespace Math.Gmp.Native /// /// The first operand float. /// The second operand float. - /// Return a positive value if op1 > op2, zero if op1 = op2, and a negative value if op1 < op2. + /// Return a positive value if op1 > op2, zero if op1 = op2, and a negative value if op1 < op2. /// /// - /// can be called with an infinity, but results are undefined for a NaN. + /// can be called with an infinity, but results are undefined for a NaN. /// /// /// @@ -14504,7 +14504,7 @@ namespace Math.Gmp.Native /// /// The first operand float. /// The second operand float. - /// Return a positive value if op1 > op2, zero if op1 = op2, and a negative value if op1 < op2. + /// Return a positive value if op1 > op2, zero if op1 = op2, and a negative value if op1 < op2. /// /// /// @@ -14553,7 +14553,7 @@ namespace Math.Gmp.Native /// /// The first operand float. /// The second operand float. - /// Return a positive value if op1 > op2, zero if op1 = op2, and a negative value if op1 < op2. + /// Return a positive value if op1 > op2, zero if op1 = op2, and a negative value if op1 < op2. /// /// /// @@ -14597,7 +14597,7 @@ namespace Math.Gmp.Native } /// - /// Set to / . + /// Set to / . /// /// The result float. /// The first operand. @@ -14682,7 +14682,7 @@ namespace Math.Gmp.Native } /// - /// Set to / 2^. + /// Set to / 2^. /// /// The result float. /// The fisrt operand. @@ -14750,7 +14750,7 @@ namespace Math.Gmp.Native } /// - /// Set to / . + /// Set to / . /// /// The result float. /// The first operand. @@ -15165,7 +15165,7 @@ namespace Math.Gmp.Native /// /// If the exponent in is too big or too small to fit a then the result is system dependent. /// For too big an infinity is returned when available. - /// For too small 0.0 is normally returned. + /// For too small 0.0 is normally returned. /// Hardware overflow, underflow and denorm traps may or may not occur. /// /// @@ -15215,7 +15215,7 @@ namespace Math.Gmp.Native /// /// Pointer to 32-bit signed integer. /// The operand float. - /// The return value is in the range 0.5 ≤ |d| < 1 and the exponent is stored at . d * 2^ is the (truncated) value. If is zero, the return is 0.0 and 0 is stored at . + /// The return value is in the range 0.5 ≤ | d | < 1 and the exponent is stored at . d * 2^ is the (truncated) value. If is zero, the return is 0.0 and 0 is stored at . /// /// /// This is similar to the standard C frexp function @@ -15421,35 +15421,35 @@ namespace Math.Gmp.Native /// A pointer to the result string is returned, being either the allocated block or the given . /// /// - /// The argument may vary from 2 to 62 or from -2 to -36. + /// The argument may vary from 2 to 62 or from -2 to -36. /// Up to digits will be generated. /// Trailing zeros are not returned. /// No more digits than can be accurately represented by are ever generated. - /// If is 0 then that accurate maximum number of digits are generated. + /// If is 0 then that accurate maximum number of digits are generated. /// /// - /// For in the range 2..36, digits and lower-case letters are used; for -2..-36, - /// digits and upper-case letters are used; for 37..62, digits, upper-case letters, and lower-case letters + /// For in the range 2..36, digits and lower-case letters are used; for -2..-36, + /// digits and upper-case letters are used; for 37..62, digits, upper-case letters, and lower-case letters /// (in that significance order) are used. /// /// /// If is NULL, the result string is allocated using the current allocation function /// (see GNU MP - Custom Allocation). - /// The block will be strlen(str) + 1 bytes, that being exactly enough for the string and null-terminator. + /// The block will be strlen(str) + 1 bytes, that being exactly enough for the string and null-terminator. /// /// - /// If is not NULL, it should point to a block of + 2 bytes, + /// If is not NULL, it should point to a block of + 2 bytes, /// that being enough for the mantissa, a possible minus sign, and a null-terminator. - /// When is 0 to get all significant digits, an application won’t be able to know + /// When is 0 to get all significant digits, an application won’t be able to know /// the space required, and should be NULL in that case. /// /// /// The generated string is a fraction, with an implicit radix point immediately to the left of the first digit. /// The applicable exponent is written through the pointer. - /// For example, the number 3.1416 would be returned as string "31416" and exponent 1. + /// For example, the number 3.1416 would be returned as string "31416" and exponent 1. /// /// - /// When is zero, an empty string is produced and the exponent returned is 0. + /// When is zero, an empty string is produced and the exponent returned is 0. /// /// /// @@ -15536,7 +15536,7 @@ namespace Math.Gmp.Native } /// - /// Initialize to 0. + /// Initialize to 0. /// /// The operand float. /// @@ -15595,7 +15595,7 @@ namespace Math.Gmp.Native } /// - /// Initialize to 0 and set its precision to be at least bits. + /// Initialize to 0 and set its precision to be at least bits. /// /// The operand float. /// The minimum precision in bits. @@ -15650,7 +15650,7 @@ namespace Math.Gmp.Native } /// - /// Initialize a NULL-terminated list of variables, and set their values to 0. + /// Initialize a NULL-terminated list of variables, and set their values to 0. /// /// The operand float. /// @@ -15867,7 +15867,7 @@ namespace Math.Gmp.Native /// The result float. /// The operand string. /// The base. - /// This function returns 0 if the entire string is a valid number in base . Otherwise it returns -1. + /// This function returns 0 if the entire string is a valid number in base . Otherwise it returns -1. /// /// /// See for details on the assignment operation. @@ -15984,23 +15984,23 @@ namespace Math.Gmp.Native /// The result float. /// Pointer to file stream. /// The base. - /// Return the number of bytes read, or if an error occurred, return 0. + /// Return the number of bytes read, or if an error occurred, return 0. /// /// - /// The string is of the form "M@N" or, if the base is 10 or less, alternatively "MeN". + /// The string is of the form "M@N" or, if the base is 10 or less, alternatively "MeN". /// "M" is the mantissa and "N’" is the exponent. /// The mantissa is always in the specified . /// The exponent is either in the specified or, if is negative, in decimal. /// The decimal point expected is taken from the current locale, on systems providing localeconv. /// /// - /// The argument may be in the ranges 2 to 36, or -36 to -2. + /// The argument may be in the ranges 2 to 36, or -36 to -2. /// Negative values are used to specify that the exponent is in decimal. /// /// /// Unlike the corresponding mpz function, the will not be determined from the leading - /// characters of the string if base is 0. - /// This is so that numbers like "0.23" are not interpreted as octal. + /// characters of the string if base is 0. + /// This is so that numbers like "0.23" are not interpreted as octal. /// /// /// @@ -16117,7 +16117,7 @@ namespace Math.Gmp.Native } /// - /// Set to * . + /// Set to * . /// /// The result float. /// The first operand. @@ -16193,7 +16193,7 @@ namespace Math.Gmp.Native } /// - /// Set to * 2^. + /// Set to * 2^. /// /// The result float. /// The first operand. @@ -16260,7 +16260,7 @@ namespace Math.Gmp.Native } /// - /// Set to * . + /// Set to * . /// /// The result float. /// The first operand. @@ -16327,7 +16327,7 @@ namespace Math.Gmp.Native } /// - /// Set to -. + /// Set to -. /// /// The result float. /// The operand. @@ -16400,22 +16400,22 @@ namespace Math.Gmp.Native /// Return the number of bytes written, or if an error occurred, return 0. /// /// - /// The mantissa is prefixed with an "0." and is in the given , - /// which may vary from 2 to 62 or from -2 to -36. - /// An exponent is then printed, separated by an "e", or if the - /// is greater than 10 then by an "@". + /// The mantissa is prefixed with an "0." and is in the given , + /// which may vary from 2 to 62 or from -2 to -36. + /// An exponent is then printed, separated by an "e", or if the + /// is greater than 10 then by an "@". /// The exponent is always in decimal. /// The decimal point follows the current locale, on systems providing localeconv. /// /// - /// For in the range 2..36, digits and lower-case letters are used; - /// for -2..-36, digits and upper-case letters are used; for 37..62, digits, + /// For in the range 2..36, digits and lower-case letters are used; + /// for -2..-36, digits and upper-case letters are used; for 37..62, digits, /// upper-case letters, and lower-case letters (in that significance order) are used. /// /// /// Up to will be printed from the mantissa, except that no more /// digits than are accurately representable by op will be printed. - /// can be 0 to select that accurate maximum. + /// can be 0 to select that accurate maximum. /// /// /// @@ -16462,7 +16462,7 @@ namespace Math.Gmp.Native } /// - /// Set to ^. + /// Set to ^. /// /// The result float. /// The first operand. @@ -16534,7 +16534,7 @@ namespace Math.Gmp.Native /// The range of the random exponent. /// /// - /// The exponent of the number is in the interval - to (in limbs). + /// The exponent of the number is in the interval - to (in limbs). /// This function is useful for testing functions and algorithms, since these kind of random numbers have proven to be more /// likely to trigger corner-case bugs. /// Negative random numbers are generated when is negative. @@ -16583,7 +16583,7 @@ namespace Math.Gmp.Native } /// - /// Compute the relative difference between and and store the result in . This is | - | / . + /// Compute the relative difference between and and store the result in . This is | - | / . /// /// The result float. /// The first operand float. @@ -17082,10 +17082,10 @@ namespace Math.Gmp.Native /// The result float. /// The input string. /// The base. - /// This function returns 0 if the entire string is a valid number in base . Otherwise it returns -1. + /// This function returns 0 if the entire string is a valid number in base . Otherwise it returns -1. /// /// - /// The string is of the form "M@N" or, if the is 10 or less, + /// The string is of the form "M@N" or, if the is 10 or less, /// alternatively "MeN". /// "M" is the mantissa and "N" is the exponent. /// The mantissa is always in the specified . @@ -17093,17 +17093,17 @@ namespace Math.Gmp.Native /// The decimal point expected is taken from the current locale, on systems providing localeconv. /// /// - /// The argument may be in the ranges 2 to 62, or -62 to -2. + /// The argument may be in the ranges 2 to 62, or -62 to -2. /// Negative values are used to specify that the exponent is in decimal. /// /// - /// For bases up to 36, case is ignored; upper-case and lower-case letters have the same value; - /// for bases 37 to 62, upper-case letter represent the usual 10..35 while lower-case - /// letter represent 36..61. + /// For bases up to 36, case is ignored; upper-case and lower-case letters have the same value; + /// for bases 37 to 62, upper-case letter represent the usual 10..35 while lower-case + /// letter represent 36..61. /// /// /// Unlike the corresponding mpz function, the will not be determined from the leading characters - /// of the string if base is 0. This is so that numbers like "0.23" are not interpreted as octal. + /// of the string if base is 0. This is so that numbers like "0.23" are not interpreted as octal. /// /// /// White space is allowed in the string, and is simply ignored. @@ -17267,10 +17267,10 @@ namespace Math.Gmp.Native } /// - /// Return +1 if op > 0, 0 if op = 0, and -1 if op < 0. + /// Return +1 if op > 0, 0 if op = 0, and -1 if op < 0. /// /// The operand float. - /// Return +1 if op > 0, 0 if op = 0, and -1 if op < 0. + /// Return +1 if op > 0, 0 if op = 0, and -1 if op < 0. /// /// /// @@ -17473,7 +17473,7 @@ namespace Math.Gmp.Native } /// - /// Set to - . + /// Set to - . /// /// The result float. /// The first operand. @@ -17550,7 +17550,7 @@ namespace Math.Gmp.Native } /// - /// Set to - . + /// Set to - . /// /// The result float. /// The first operand. @@ -17758,7 +17758,7 @@ namespace Math.Gmp.Native } /// - /// Set to / . + /// Set to / . /// /// The result float. /// The first operand. @@ -17834,7 +17834,7 @@ namespace Math.Gmp.Native } /// - /// Set to - . + /// Set to - . /// /// The result float. /// The first operand. @@ -17901,7 +17901,7 @@ namespace Math.Gmp.Native } /// - /// Generate a uniformly distributed random float in , such that 0 ≤ rop < 1, with significant bits in the mantissa or less if the precision of is smaller. + /// Generate a uniformly distributed random float in , such that 0 ≤ rop < 1, with significant bits in the mantissa or less if the precision of is smaller. /// /// The result float. /// The random number generator state. @@ -17979,7 +17979,7 @@ namespace Math.Gmp.Native /// The number of limbs in . /// The second operand integer. /// The number of limbs in . - /// Return carry, either 0 or 1. + /// Return carry, either 0 or 1. /// /// /// This function requires that is greater than or equal to . @@ -18059,7 +18059,7 @@ namespace Math.Gmp.Native /// The first operand integer. /// The number of limbs in . /// The second operand integer. - /// Return carry, either 0 or 1. + /// Return carry, either 0 or 1. /// /// /// @@ -18131,13 +18131,13 @@ namespace Math.Gmp.Native /// The first operand integer. /// The second operand integer. /// The number of limbs in and . - /// Return carry, either 0 or 1. + /// Return carry, either 0 or 1. /// /// /// This is the lowest-level function for addition. /// It is the preferred function for addition, since it is written in assembly for most CPUs. /// For addition of a variable to itself (i.e., equals ) - /// use with a count of 1 for optimal speed. + /// use with a count of 1 for optimal speed. /// /// /// @@ -18219,7 +18219,7 @@ namespace Math.Gmp.Native /// /// /// {, } and {, } are allowed - /// to overlap provided . + /// to overlap provided . /// /// /// This is a low-level function that is a building block for general multiplication as well as other operations in GMP. @@ -18334,11 +18334,11 @@ namespace Math.Gmp.Native } /// - /// Test {, } and return 1 if the operand is zero, 0 otherwise. + /// Test {, } and return 1 if the operand is zero, 0 otherwise. /// /// The operand integer. /// The number of limbs in . - /// Return 1 if the operand is zero, 0 otherwise. + /// Return 1 if the operand is zero, 0 otherwise. /// /// /// @@ -18448,29 +18448,29 @@ namespace Math.Gmp.Native } /// - /// Divide {, } by 3, expecting it to divide exactly, and writing the result to {, }. + /// Divide {, } by 3, expecting it to divide exactly, and writing the result to {, }. /// /// The result integer. /// The operand integer. /// The number of limbs in . - /// If 3 divides exactly, the return value is zero and the result is the quotient. If not, the return value is non-zero and the result won’t be anything useful. + /// If 3 divides exactly, the return value is zero and the result is the quotient. If not, the return value is non-zero and the result won’t be anything useful. /// /// /// takes an initial carry parameter, which can be the return value from a previous call, /// so a large calculation can be done piece by piece from low to high. - /// is simply a macro calling with a 0 carry parameter. + /// is simply a macro calling with a 0 carry parameter. /// /// /// These routines use a multiply-by-inverse and will be faster than on CPUs with /// fast multiplication but slow division. /// /// - /// The source a, result q, size n, initial carry i, and return value c satisfy - /// c * b^n + a - i = 3 * q, where b = 2^. - /// The return c is always 0, 1 or 2, and the initial carry i must also be 0, - /// 1 or 2 (these are both borrows really). When c = 0 clearly q = (a - i) / 3. - /// When c != 0, the remainder (a - i) mod 3 is given by 3 - c, because - /// b ≡ 1 mod 3 (when is even, which is always so currently). + /// The source a, result q, size n, initial carry i, and return value c satisfy + /// c * b^n + a - i = 3 * q, where b = 2^. + /// The return c is always 0, 1 or 2, and the initial carry i must also be 0, + /// 1 or 2 (these are both borrows really). When c = 0 clearly q = (a - i) / 3. + /// When c != 0, the remainder (a - i) mod 3 is given by 3 - c, because + /// b ≡ 1 mod 3 (when is even, which is always so currently). /// /// /// @@ -18540,30 +18540,30 @@ namespace Math.Gmp.Native } /// - /// Divide {, } by 3, expecting it to divide exactly, and writing the result to {, }. + /// Divide {, } by 3, expecting it to divide exactly, and writing the result to {, }. /// /// The result integer. /// The operand integer. /// The number of limbs in . /// The initial carry. - /// If 3 divides exactly, the return value is zero and the result is the quotient. If not, the return value is non-zero and the result won’t be anything useful. + /// If 3 divides exactly, the return value is zero and the result is the quotient. If not, the return value is non-zero and the result won’t be anything useful. /// /// /// takes an initial carry parameter, which can be the return value from a previous call, /// so a large calculation can be done piece by piece from low to high. - /// is simply a macro calling with a 0 carry parameter. + /// is simply a macro calling with a 0 carry parameter. /// /// /// These routines use a multiply-by-inverse and will be faster than on CPUs with /// fast multiplication but slow division. /// /// - /// The source a, result q, size n, initial carry i, and return value c satisfy - /// c * b^n + a - i = 3 * q, where b = 2^. - /// The return c is always 0, 1 or 2, and the initial carry i must also be 0, - /// 1 or 2 (these are both borrows really). When c = 0 clearly q = (a - i) / 3. - /// When c != 0, the remainder (a - i) mod 3 is given by 3 - c, because - /// b ≡ 1 mod 3 (when is even, which is always so currently). + /// The source a, result q, size n, initial carry i, and return value c satisfy + /// c * b^n + a - i = 3 * q, where b = 2^. + /// The return c is always 0, 1 or 2, and the initial carry i must also be 0, + /// 1 or 2 (these are both borrows really). When c = 0 clearly q = (a - i) / 3. + /// When c != 0, the remainder (a - i) mod 3 is given by 3 - c, because + /// b ≡ 1 mod 3 (when is even, which is always so currently). /// /// /// @@ -18642,14 +18642,14 @@ namespace Math.Gmp.Native /// Return the remainder. /// /// - /// The integer quotient is written to { + , } + /// The integer quotient is written to { + , } /// and in addition fraction limbs are developed and written to {, }. /// Either or both and can be zero. /// For most usages, will be zero. /// /// /// exists for upward source compatibility and is simply a macro - /// calling with a of 0. + /// calling with a of 0. /// /// /// The areas at and have to be identical or @@ -18736,7 +18736,7 @@ namespace Math.Gmp.Native /// /// /// exists for upward source compatibility and is simply a macro - /// calling with a qxn of 0. + /// calling with a qxn of 0. /// /// /// The areas at and have to be identical or @@ -18855,7 +18855,7 @@ namespace Math.Gmp.Native /// Both source operands are destroyed. /// /// - /// It is required that > 0, and the most significant limb + /// It is required that > 0, and the most significant limb /// of {, } must be non-zero. /// No overlap is permitted between {, } and {, }. /// @@ -18960,7 +18960,7 @@ namespace Math.Gmp.Native //} /// - /// Compute the greatest common divisor G of U and V. Compute a cofactor S such that G = US + VT. + /// Compute the greatest common divisor G of U and V. Compute a cofactor S such that G = US + VT. /// /// The fisrt result operand. /// The second result operand. @@ -18972,32 +18972,32 @@ namespace Math.Gmp.Native /// The number of limbs of . /// /// - /// Let U be defined by {, } - /// and let V be defined by {, }. + /// Let U be defined by {, } + /// and let V be defined by {, }. /// /// - /// The second cofactor T is not computed but can easily be obtained from (G - U * S) / V (the division will be exact). - /// It is required that > 0, + /// The second cofactor T is not computed but can easily be obtained from (G - U * S) / V (the division will be exact). + /// It is required that > 0, /// and the most significant limb of {, } must be non-zero. /// /// - /// Store G at and let the return value define its limb count. - /// Store S at and let |.Value| define its limb count. - /// S can be negative; when this happens .Value will be negative. + /// Store G at and let the return value define its limb count. + /// Store S at and let | .Value | define its limb count. + /// S can be negative; when this happens .Value will be negative. /// The area at should have room for limbs - /// and the area at should have room for + 1 limbs. + /// and the area at should have room for + 1 limbs. /// /// /// Both source operands are destroyed. /// /// - /// Compatibility notes: GMP 4.3.0 and 4.3.1 defined S less strictly. - /// Earlier as well as later GMP releases define S as described here. + /// Compatibility notes: GMP 4.3.0 and 4.3.1 defined S less strictly. + /// Earlier as well as later GMP releases define S as described here. /// GMP releases before GMP 4.3.0 required additional space for both input and output areas. - /// More precisely, the areas {, + 1} and - /// {, + 1} were destroyed (i.e. the operands + /// More precisely, the areas {, + 1} and + /// {, + 1} were destroyed (i.e. the operands /// plus an extra limb past the end of each), and the areas pointed to by - /// and should each have room for + 1 limbs. + /// and should each have room for + 1 limbs. /// /// /// @@ -19070,11 +19070,11 @@ namespace Math.Gmp.Native /// /// There may be leading zeros in the string. /// The string is not in ASCII; to convert it to printable format, add the ASCII codes for "0" or "A", - /// depending on the base and range. can vary from 2 to 256. + /// depending on the base and range. can vary from 2 to 256. /// /// /// The most significant limb of the input {, } must be non-zero. - /// The input {, } is clobbered, except when base is a power of 2, + /// The input {, } is clobbered, except when base is a power of 2, /// in which case it’s unchanged. /// /// @@ -19188,9 +19188,9 @@ namespace Math.Gmp.Native /// The bits shifted out at the left are returned in the least significant count bits of the return value (the rest of the return value is zero). /// /// - /// must be in the range 1 to - 1. + /// must be in the range 1 to - 1. /// The regions {, } and {, } may overlap, - /// provided . + /// provided . /// /// /// This function is written in assembly for most CPUs. @@ -19311,7 +19311,7 @@ namespace Math.Gmp.Native } /// - /// Multiply {, } and {, }, and write the ( + )-limb result to . + /// Multiply {, } and {, }, and write the ( + )-limb result to . /// /// The result integer. /// The first operand integer. @@ -19321,7 +19321,7 @@ namespace Math.Gmp.Native /// Return the most significant limb of the result. /// /// - /// The destination has to have space for + limbs, + /// The destination has to have space for + limbs, /// even if the product’s most significant limb is zero. /// No overlap is permitted between the destination and either source. /// @@ -19406,14 +19406,14 @@ namespace Math.Gmp.Native /// /// /// {, } and {, } - /// are allowed to overlap provided . + /// are allowed to overlap provided . /// /// /// This is a low-level function that is a building block for general multiplication as well as /// other operations in GMP. It is written in assembly for most CPUs. /// /// - /// Don’t call this function if is a power of 2; + /// Don’t call this function if is a power of 2; /// use with a count equal to the logarithm of /// instead, for optimal speed. /// @@ -19484,7 +19484,7 @@ namespace Math.Gmp.Native } /// - /// Multiply {, } and {, }, and write the (2 * )-limb result to . + /// Multiply {, } and {, }, and write the (2 * )-limb result to . /// /// The result integer. /// The first operand integer. @@ -19492,7 +19492,7 @@ namespace Math.Gmp.Native /// The number of limbs of and . /// /// - /// The destination has to have space for 2 * limbs, even if the product’s + /// The destination has to have space for 2 * limbs, even if the product’s /// most significant limb is zero. No overlap is permitted between the destination and either source. /// /// @@ -19563,14 +19563,14 @@ namespace Math.Gmp.Native } /// - /// Compute the square of {, } and write the (2 * )-limb result to . + /// Compute the square of {, } and write the (2 * )-limb result to . /// /// The result integer. /// The operand integer. /// The number of limbs of . /// /// - /// The destination has to have space for 2 * limbs, even if the result’s + /// The destination has to have space for 2 * limbs, even if the result’s /// most significant limb is zero. No overlap is permitted between the destination and the source. /// /// @@ -20001,9 +20001,9 @@ namespace Math.Gmp.Native /// The bits shifted out at the right are returned in the most significant bits of the return value (the rest of the return value is zero). /// /// - /// must be in the range 1 to - 1. + /// must be in the range 1 to - 1. /// The regions {, } and {, } - /// may overlap, provided . + /// may overlap, provided . /// /// /// This function is written in assembly for most CPUs. @@ -20161,16 +20161,16 @@ namespace Math.Gmp.Native /// The number of limbs of . /// /// - /// [0] is the most significant input byte and - /// [ - 1] is the least significant input byte. - /// Each byte should be a value in the range 0 to - 1, - /// not an ASCII character. base can vary from 2 to 256. + /// [0] is the most significant input byte and + /// [ - 1] is the least significant input byte. + /// Each byte should be a value in the range 0 to - 1, + /// not an ASCII character. base can vary from 2 to 256. /// /// - /// The converted value is {, rn} where rn is the return value. - /// If the most significant input byte [0] is non-zero, - /// then [rn - 1] will be non-zero, - /// else [rn - 1] and some number of subsequent limbs may be zero. + /// The converted value is {, rn} where rn is the return value. + /// If the most significant input byte [0] is non-zero, + /// then [rn - 1] will be non-zero, + /// else [rn - 1] and some number of subsequent limbs may be zero. /// /// /// The area at has to have space for the largest possible number with @@ -20242,10 +20242,10 @@ namespace Math.Gmp.Native /// The size of {, } measured in number of digits in the given . /// /// - /// can vary from 2 to 62. - /// Requires > 0 and [ - 1] > 0. - /// The result will be either exact or 1 too big. - /// If base is a power of 2, the result is always exact. + /// can vary from 2 to 62. + /// Requires > 0 and [ - 1] > 0. + /// The result will be either exact or 1 too big. + /// If base is a power of 2, the result is always exact. /// /// /// @@ -20283,7 +20283,7 @@ namespace Math.Gmp.Native } /// - /// Compute the square root of {, } and put the result at {, ceil( / 2)} and the remainder at {, retval}. + /// Compute the square root of {, } and put the result at {, ceil( / 2)} and the remainder at {, retval}. /// /// The first result integer. /// The second result integer. @@ -20297,7 +20297,7 @@ namespace Math.Gmp.Native /// /// /// The most significant limb of {, } must be non-zero. - /// The areas {, ceil( / 2)} and + /// The areas {, ceil( / 2)} and /// {, } must be completely separate. /// The areas {, } and {, } /// must be either identical or completely separate. @@ -20387,7 +20387,7 @@ namespace Math.Gmp.Native /// The number of limbs of . /// The second operand integer. /// The number of limbs of . - /// Return borrow, either 0 or 1. + /// Return borrow, either 0 or 1. /// /// /// This is the lowest-level function for subtraction. It is the preferred function for subtraction, since it is written in assembly for most CPUs. @@ -20468,7 +20468,7 @@ namespace Math.Gmp.Native /// The first operand integer. /// The numbe rof limbs of . /// The second operand integer. - /// Return borrow, either 0 or 1. + /// Return borrow, either 0 or 1. /// /// /// @@ -20541,7 +20541,7 @@ namespace Math.Gmp.Native /// The first operand integer. /// The second operand integer. /// The numbe rof limbs of and . - /// Return borrow, either 0 or 1. + /// Return borrow, either 0 or 1. /// /// /// @@ -20621,7 +20621,7 @@ namespace Math.Gmp.Native /// /// /// {, } and {, } - /// are allowed to overlap provided . + /// are allowed to overlap provided . /// /// /// This is a low-level function that is a building block for general multiplication and division @@ -20694,18 +20694,18 @@ namespace Math.Gmp.Native } /// - /// Divide {, } by {, } and put the quotient at {, - + 1} and the remainder at {, }. + /// Divide {, } by {, } and put the quotient at {, - + 1} and the remainder at {, }. /// /// The result quotient integer. /// The result remainder integer. - /// Must be 0. + /// Must be 0. /// The numerator operand integer. /// The number of limbs of . /// The denominator operand integer. /// The number of limbs of . /// /// - /// The quotient is rounded towards 0. + /// The quotient is rounded towards 0. /// /// /// No overlap is permitted between arguments, except that might @@ -21398,7 +21398,7 @@ namespace Math.Gmp.Native /// The first operand integer. /// The second operand integer. /// The number of limbs of and . - /// If is non-zero, return carry, either 0 or 1, and if is zero, return 0. + /// If is non-zero, return carry, either 0 or 1, and if is zero, return 0. /// /// /// This function does conditional addition. @@ -21478,7 +21478,7 @@ namespace Math.Gmp.Native /// The first operand integer. /// The second operand integer. /// The number of limbs of and . - /// If is non-zero, return borrow, either 0 or 1, and if is zero, return 0. + /// If is non-zero, return borrow, either 0 or 1, and if is zero, return 0. /// /// /// This function does conditional addition. @@ -21550,18 +21550,18 @@ namespace Math.Gmp.Native } /// - /// Set R to A + b, where R = {, }, A = {, }, and is a single limb. + /// Set R to A + b, where R = {, }, A = {, }, and is a single limb. /// /// The result integer. /// The first operand integer. /// The number of limbs of and . /// The second operand integer. /// The scratch operand integer. - /// Returns carry, either 0 or 1. + /// Returns carry, either 0 or 1. /// /// - /// This function takes O(N) time, unlike the leaky functions which is O(1) on average. - /// It requires scratch space of (n) limbs, to be passed in the parameter. + /// This function takes O(N) time, unlike the leaky functions which is O(1) on average. + /// It requires scratch space of (n) limbs, to be passed in the parameter. /// The scratch space requirements are guaranteed to be at most limbs, and increase monotonously in the operand size. /// /// @@ -21644,18 +21644,18 @@ namespace Math.Gmp.Native } /// - /// Set R to A - b, where R = {, }, A = {, }, and is a single limb. + /// Set R to A - b, where R = {, }, A = {, }, and is a single limb. /// /// The result integer. /// The first operand integer. /// The number of limbs of and . /// The second operand integer. /// The scratch operand integer. - /// Returns borrow, either 0 or 1. + /// Returns borrow, either 0 or 1. /// /// - /// This function takes O(N) time, unlike the leaky functions which is O(1) on average. - /// It requires scratch space of (n) limbs, to be passed in the parameter. + /// This function takes O(N) time, unlike the leaky functions which is O(1) on average. + /// It requires scratch space of (n) limbs, to be passed in the parameter. /// The scratch space requirements are guaranteed to be at most limbs, and increase monotonously in the operand size. /// /// @@ -21808,7 +21808,7 @@ namespace Math.Gmp.Native } /// - /// Set R to A * B, where A = {, }, B = {, }, and R = {, + }. + /// Set R to A * B, where A = {, }, B = {, }, and R = {, + }. /// /// The result integer. /// The first operand integer. @@ -21818,14 +21818,14 @@ namespace Math.Gmp.Native /// The scratch operand integer. /// /// - /// It is required that ≥ bn > 0. + /// It is required that ≥ bn > 0. /// /// - /// No overlapping between R and the input operands is allowed. - /// For A = B, use for optimal performance. + /// No overlapping between R and the input operands is allowed. + /// For A = B, use for optimal performance. /// /// - /// This function requires scratch space of (, ) + /// This function requires scratch space of (, ) /// limbs to be passed in the tp parameter. The scratch space requirements are guaranteed to increase monotonously in the operand sizes. /// /// @@ -21907,7 +21907,7 @@ namespace Math.Gmp.Native } /// - /// Set R to A^2, where A = {, }, and R = {, 2 * }. + /// Set R to A^2, where A = {, }, and R = {, 2 * }. /// /// The result operand. /// The operand integer. @@ -21915,13 +21915,13 @@ namespace Math.Gmp.Native /// The scratch operand integer. /// /// - /// It is required that > 0. + /// It is required that > 0. /// /// - /// No overlapping between R and the input operands is allowed. + /// No overlapping between R and the input operands is allowed. /// /// - /// This function requires scratch space of () + /// This function requires scratch space of () /// limbs to be passed in the parameter. /// The scratch space requirements are guaranteed to increase monotonously in the operand size. /// @@ -22000,7 +22000,7 @@ namespace Math.Gmp.Native } /// - /// Set R to (B^E) modulo M, where R = {, }, M = {, }, and E = {, ceil( / )}. + /// Set R to (B^E) modulo M, where R = {, }, M = {, }, and E = {, ceil( / )}. /// /// The result operand. /// The first operand integer. @@ -22012,13 +22012,13 @@ namespace Math.Gmp.Native /// The scratch operand integer. /// /// - /// It is required that B > 0, that M > 0 is odd, and that E < 2^. + /// It is required that B > 0, that M > 0 is odd, and that E < 2^. /// /// - /// No overlapping between R and the input operands is allowed. + /// No overlapping between R and the input operands is allowed. /// /// - /// This function requires scratch space of (, , ) + /// This function requires scratch space of (, , ) /// limbs to be passed in the parameter. /// The scratch space requirements are guaranteed to increase monotonously in the operand sizes. /// @@ -22170,7 +22170,7 @@ namespace Math.Gmp.Native } /// - /// Set Q to the truncated quotient N / D and R to N modulo D, where N = {, }, D = {, }, Q’s most significant limb is the function return value and the remaining limbs are {, - }, and R = {, }. + /// Set Q to the truncated quotient N / D and R to N modulo D, where N = {, }, D = {, }, Q’s most significant limb is the function return value and the remaining limbs are {, - }, and R = {, }. /// /// The quotient result operand. /// The first operand and remainder result integer. @@ -22178,19 +22178,19 @@ namespace Math.Gmp.Native /// The second operand integer. /// The number of limbs of . /// The scratch operand integer. - /// Q’s most significant limb. + /// Q’s most significant limb. /// /// - /// It is required that ≥ 1, and that [ - 1] ≠ 0. - /// This does not imply that N ≥ D since N might be zero-padded. + /// It is required that ≥ 1, and that [ - 1] ≠ 0. + /// This does not imply that N ≥ D since N might be zero-padded. /// /// - /// Note the overlapping between N and R. + /// Note the overlapping between N and R. /// No other operand overlapping is allowed. - /// The entire space occupied by N is overwritten. + /// The entire space occupied by N is overwritten. /// /// - /// This function requires scratch space of (, ) + /// This function requires scratch space of (, ) /// limbs to be passed in the parameter. /// /// @@ -22279,7 +22279,7 @@ namespace Math.Gmp.Native } /// - /// Set R to N modulo D, where N = {, }, D = {, }, and R = {, }. + /// Set R to N modulo D, where N = {, }, D = {, }, and R = {, }. /// /// The first operand and result integer. /// The number of limbs of . @@ -22288,17 +22288,17 @@ namespace Math.Gmp.Native /// The scratch operand integer. /// /// - /// It is required that ≥ 1, - /// and that [ - 1] ≠ 0. - /// This does not imply that N ≥ D since N might be zero-padded. + /// It is required that ≥ 1, + /// and that [ - 1] ≠ 0. + /// This does not imply that N ≥ D since N might be zero-padded. /// /// - /// Note the overlapping between N and R. + /// Note the overlapping between N and R. /// No other operand overlapping is allowed. - /// The entire space occupied by N is overwritten. + /// The entire space occupied by N is overwritten. /// /// - /// This function requires scratch space of (, ) + /// This function requires scratch space of (, ) /// limbs to be passed in the parameter. /// /// @@ -22375,7 +22375,7 @@ namespace Math.Gmp.Native } /// - /// Set R to the inverse of A modulo M, where R = {, }, A = {, }, and M = {, }. This function’s interface is preliminary. + /// Set R to the inverse of A modulo M, where R = {, }, A = {, }, and M = {, }. This function’s interface is preliminary. /// /// The result integer. /// The first operand integer. @@ -22383,19 +22383,19 @@ namespace Math.Gmp.Native /// The number of limbs of and . /// The third operand integer. /// The scratch operand integer. - /// If an inverse exists, return 1, otherwise return 0 and leave R undefined. + /// If an inverse exists, return 1, otherwise return 0 and leave R undefined. /// /// - /// If an inverse exists, return 1, otherwise return 0 and leave R undefined. - /// In either case, the input A is destroyed. + /// If an inverse exists, return 1, otherwise return 0 and leave R undefined. + /// In either case, the input A is destroyed. /// /// - /// It is required that M is odd, and that ≥ ceil(log(A + 1)) + ceil(log(M + 1)). - /// A safe choice is = 2 * * , - /// but a smaller value might improve performance if M or A are known to have leading zero bits. + /// It is required that M is odd, and that ≥ ceil(log(A + 1)) + ceil(log(M + 1)). + /// A safe choice is = 2 * * , + /// but a smaller value might improve performance if M or A are known to have leading zero bits. /// /// - /// This function requires scratch space of () + /// This function requires scratch space of () /// limbs to be passed in the parameter. /// /// diff --git a/docs/Gmp.Native.chm b/docs/Gmp.Native.chm index 95ad72d01c12d2c5f8df759e34ea41bb3f5d9c94..f87e4718da72ddc170136d56a510f6b2d0c57357 100644 GIT binary patch delta 1206039 zcmeF%`9DLm^@j&)y66}Z-0{t3mihma)VB3O&h#n_C}Fsva#OKnIH_OEsBu0MS@HW=9^>VPQ;#2v|TEU;sQg7`vrFOmqdN zI6Q`U93KfdWDw2KXW*c!Cm2m@Jxa zjvS0q;>i|;eq#X>6&^Dy4%De&vP|Y#QxHxi0afpNfQM8trdR?@BfO*soYXM(h5z+? zjKF|e0%{t^fmmvoEKckz8F+yNUXDtF6>3T7Rf`$IQ+ z>Aps0wM_$K^96~SGC+bBk9m9<*wez$o7ZyS7Of=q&1P6HC-_7wfobcT9Lpq&e7Sf-zMAK!O>@#2NrcW=Ux9YcR+`x=(4rM`oBT zSLX*gz_H-Tl8u+HfYU4z(8!KD@M3|?bichn1||-i@&IgXFeXbBXtBX$H+6?8K{T5LZgSO>nCl0g zvEeb-FM>rjNoabL3GlK@LNgl|feAZIR-(El0j{&-F}M7{DP zLF^Gp?B<&977n~PB7xnS3tm+Nt4M2mNMSVq9Ost6?tGA(G5{9bcuXxBNa2Q|-DYyo 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z7s&nmzNeYj`rF0Te??2uSHn;Op7eog%Ru*uJ2&{F${li%Ug6HsTiYOYQaeE@xf{iRN?lvoScDxX>r}iXys#Q} zh`2kdVDn?#f5v4FtKF}BbrU^lA%Z1S#DUz+ydHZAzW1u%D!9 zQ=*3%aZSdDklL)JHxXY@lPgYFe3(|>N2L1Uy`#BBzaeoXcWRpnGv=@o)|PJu(B(|{T)O77pc@$b1*YASTq2D00#d5 zX!maS$^13?t;M*su>07d|c2&RDE z9dkF1840WcKCPhI;K&bATCcxi5^G6Z5tqkBfJ-lvMP*D82v2n$i+v<$W70+M@Py*h zStIpLenL-fNQl&>ug#hv#Mu|Rkv`E~e@LHWs*9^Yx)zJx!Mg

  • Custom Allocation:

    • mp_set_memory_functions - Replace the current allocation functions from the arguments.
      mp_get_memory_functions - Get the current allocation functions, storing function pointers to the locations given by the arguments.
      allocate - Return a pointer to newly allocated space with at least alloc_size bytes.
      reallocate - Resize a previously allocated block ptr of old_size bytes to be new_size bytes.
      free - De-allocate the space pointed to by ptrs.
      free - De-allocate the space pointed to by ptr.
      free - De-allocate the space pointed to by ptr.
      free - De-allocate the space pointed to by ptr.
      free - De-allocate the space pointed to by ptr.
      ZeroMemory - The ZeroMemory routine fills a block of memory with zeros, given a pointer to the block and the length, in bytes, to be filled.

  • See Also

    Parameters

    op
    Type: Math.Gmp.Nativempz_t
    The operand integer.

    Return Value

    Type: mp_bitcnt_t
    If op ≥ 0, return the population count of op, which is the number of 1 bits in the binary representation. If op < 0, the number of 1s is infinite, and the return value is the largest possible mp_bitcnt_t.
    Remarks

    +

    Parameters

    op
    Type: Math.Gmp.Nativempz_t
    The operand integer.

    Return Value

    Type: mp_bitcnt_t
    If op ≥ 0, return the population count of op, which is the number of 1 bits in the binary representation. If op < 0, the number of 1s is infinite, and the return value is the largest possible mp_bitcnt_t.
    Remarks

    The function behaves as if twos complement arithmetic were used (although sign-magnitude is the actual implementation). - The least significant bit is number 0. + The least significant bit is number 0.

    Examples
    // Create, initialize, and set the value of op to 63.
     mpz_t op = new mpz_t();
     gmp_lib.mpz_init_set_ui(op, 63U);
    diff --git a/docs/html/86b2033c-26c3-3889-9025-b2a638910a86.htm b/docs/html/86b2033c-26c3-3889-9025-b2a638910a86.htm
    index d9a806f..f94ecec 100644
    --- a/docs/html/86b2033c-26c3-3889-9025-b2a638910a86.htm
    +++ b/docs/html/86b2033c-26c3-3889-9025-b2a638910a86.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_sgn Method 
    Click or drag to resize
    gmp_libmpz_sgn Method
    - Return +1 if op > 0, 0 if op = 0, and -1 if op < 0. + Return +1 if op > 0, 0 if op = 0, and -1 if op < 0.

    Namespace:  Math.Gmp.Native
    @@ -13,7 +13,7 @@ mpz_t^ op )

    Parameters

    op
    Type: Math.Gmp.Nativempz_t
    The operand integer.

    Return Value

    Type: Int32
    Return +1 if op > 0, 0 if op = 0, and -1 if op < 0.
    Examples
    // Create, initialize, and set the value of op to -10.
    +

    Parameters

    op
    Type: Math.Gmp.Nativempz_t
    The operand integer.

    Return Value

    Type: Int32
    Return +1 if op > 0, 0 if op = 0, and -1 if op < 0.
    Examples
    // Create, initialize, and set the value of op to -10.
     mpz_t op = new mpz_t();
     gmp_lib.mpz_init_set_si(op, -10);
     
    diff --git a/docs/html/86ddbf69-57f6-af58-bd13-3eca06123b29.htm b/docs/html/86ddbf69-57f6-af58-bd13-3eca06123b29.htm
    index 16ec201..22cce9d 100644
    --- a/docs/html/86ddbf69-57f6-af58-bd13-3eca06123b29.htm
    +++ b/docs/html/86ddbf69-57f6-af58-bd13-3eca06123b29.htm
    @@ -19,7 +19,7 @@
             n : mp_size_t -> mp_ptr 
     

    Parameters

    x
    Type: Math.Gmp.Nativempz_t
    The operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs.

    Return Value

    Type: mp_ptr
    A pointer to the limb array of x, intended for write access.
    Remarks

    The array is reallocated as needed, to make room for n limbs. - Requires n > 0. + Requires n > 0. The mpz_limbs_write(mpz_t, mp_size_t) function may destroy the old value and return an array with unspecified contents.

    Examples
    // Create and initialize new integer x.
    diff --git a/docs/html/86fd57d1-ccfa-804e-760b-bd8e7ade2176.htm b/docs/html/86fd57d1-ccfa-804e-760b-bd8e7ade2176.htm
    index a3c1d34..2afb1a3 100644
    --- a/docs/html/86fd57d1-ccfa-804e-760b-bd8e7ade2176.htm
    +++ b/docs/html/86fd57d1-ccfa-804e-760b-bd8e7ade2176.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_mod_ui Method 
    Click or drag to resize
    gmp_libmpz_mod_ui Method
    - Set r to n mod d. + Set r to n mod d.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/87681f32-b766-3ce2-7c08-98b2d32cb5fa.htm b/docs/html/87681f32-b766-3ce2-7c08-98b2d32cb5fa.htm index ddd7d6a..341c655 100644 --- a/docs/html/87681f32-b766-3ce2-7c08-98b2d32cb5fa.htm +++ b/docs/html/87681f32-b766-3ce2-7c08-98b2d32cb5fa.htm @@ -29,7 +29,7 @@ s1n : mp_size_t * s2p : mp_ptr * s2n : mp_size_t -> mp_limb_t -

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    s1p
    Type: Math.Gmp.Nativemp_ptr
    The first operand integer.
    s1n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of s1p.
    s2p
    Type: Math.Gmp.Nativemp_ptr
    The second operand integer.
    s2n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of s2p.

    Return Value

    Type: mp_limb_t
    Return borrow, either 0 or 1.
    Remarks

    +

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    s1p
    Type: Math.Gmp.Nativemp_ptr
    The first operand integer.
    s1n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of s1p.
    s2p
    Type: Math.Gmp.Nativemp_ptr
    The second operand integer.
    s2n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of s2p.

    Return Value

    Type: mp_limb_t
    Return borrow, either 0 or 1.
    Remarks

    This is the lowest-level function for subtraction. It is the preferred function for subtraction, since it is written in assembly for most CPUs.

    Examples
    // Create multi-precision operands, and expected result.
     mp_ptr s1p = new mp_ptr(new uint[] { 0xffffffff, 0xffffffff });
    diff --git a/docs/html/87f5432d-aacb-57b6-b4a7-e4dc803684a4.htm b/docs/html/87f5432d-aacb-57b6-b4a7-e4dc803684a4.htm
    index ba80d8d..18d47b9 100644
    --- a/docs/html/87f5432d-aacb-57b6-b4a7-e4dc803684a4.htm
    +++ b/docs/html/87f5432d-aacb-57b6-b4a7-e4dc803684a4.htm
    @@ -19,7 +19,7 @@
             n : mp_size_t -> mp_ptr 
     

    Parameters

    x
    Type: Math.Gmp.Nativempz_t
    The operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs.

    Return Value

    Type: mp_ptr
    A pointer to the limb array of x, intended for write access.
    Remarks

    The array is reallocated as needed, to make room for n limbs. - Requires n > 0. + Requires n > 0. The mpz_limbs_modify(mpz_t, mp_size_t) function returns an array that holds the old absolute value of x

    Examples
    // Create, initialize, and set the value of x to 2.
     mpz_t x = new mpz_t();
    diff --git a/docs/html/8812c658-675a-b564-9159-2383971747b1.htm b/docs/html/8812c658-675a-b564-9159-2383971747b1.htm
    index 7872a7c..7a1fed4 100644
    --- a/docs/html/8812c658-675a-b564-9159-2383971747b1.htm
    +++ b/docs/html/8812c658-675a-b564-9159-2383971747b1.htm
    @@ -19,7 +19,7 @@
             bit_index : mp_bitcnt_t -> unit 
     

    Parameters

    rop
    Type: Math.Gmp.Nativempz_t
    The result integer.
    bit_index
    Type: Math.Gmp.Nativemp_bitcnt_t
    The index of the bit to clear.
    Remarks

    The function behaves as if twos complement arithmetic were used (although sign-magnitude is the actual implementation). - The least significant bit is number 0. + The least significant bit is number 0.

    Examples
    // Create, initialize, and set the value of rop to 70.
     mpz_t rop = new mpz_t();
     gmp_lib.mpz_init_set_si(rop, 70);
    diff --git a/docs/html/88b8d333-9c9c-de7d-8131-6d1432c14a0c.htm b/docs/html/88b8d333-9c9c-de7d-8131-6d1432c14a0c.htm
    index e881eea..3d40f1b 100644
    --- a/docs/html/88b8d333-9c9c-de7d-8131-6d1432c14a0c.htm
    +++ b/docs/html/88b8d333-9c9c-de7d-8131-6d1432c14a0c.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_gcd_ui Method 
    Click or drag to resize
    gmp_libmpz_gcd_ui Method
    - Compute the greatest common divisor of op1 and op2. If rop is not null, store the result there. + Compute the greatest common divisor of op1 and op2. If rop is not null, store the result there.

    Namespace:  Math.Gmp.Native
    @@ -21,7 +21,7 @@ rop : mpz_t * op1 : mpz_t * op2 : uint32 -> uint32 -

    Parameters

    rop
    Type: Math.Gmp.Nativempz_t
    The result operand integer.
    op1
    Type: Math.Gmp.Nativempz_t
    The first operand integer.
    op2
    Type: SystemUInt32
    The second operand integer.

    Return Value

    Type: UInt32
    If the result is small enough to fit in an unsigned int, it is returned. If the result does not fit, 0 is returned, and the result is equal to the argument op1.
    Remarks

    +

    Parameters

    rop
    Type: Math.Gmp.Nativempz_t
    The result operand integer.
    op1
    Type: Math.Gmp.Nativempz_t
    The first operand integer.
    op2
    Type: SystemUInt32
    The second operand integer.

    Return Value

    Type: UInt32
    If the result is small enough to fit in an unsigned int, it is returned. If the result does not fit, 0 is returned, and the result is equal to the argument op1.
    Remarks

    Note that the result will always fit if op2 is non-zero.

    Examples
    // Create, initialize, and set the value of op1 to 63.
     mpz_t op1 = new mpz_t();
    diff --git a/docs/html/8ab8ea40-9723-f0c8-18f4-9558c73397b9.htm b/docs/html/8ab8ea40-9723-f0c8-18f4-9558c73397b9.htm
    index dc5cbd7..7a51b15 100644
    --- a/docs/html/8ab8ea40-9723-f0c8-18f4-9558c73397b9.htm
    +++ b/docs/html/8ab8ea40-9723-f0c8-18f4-9558c73397b9.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpq_inits Method 
    Click or drag to resize
    gmp_libmpq_inits Method
    - Initialize a NULL-terminated list of mpq_t variables, and set their values to 0/1. + Initialize a NULL-terminated list of mpq_t variables, and set their values to 0/1.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/8b1e9c27-7278-6032-80c0-015b93258d96.htm b/docs/html/8b1e9c27-7278-6032-80c0-015b93258d96.htm index 74df87f..16d066a 100644 --- a/docs/html/8b1e9c27-7278-6032-80c0-015b93258d96.htm +++ b/docs/html/8b1e9c27-7278-6032-80c0-015b93258d96.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_cdiv_q Method
    Click or drag to resize
    gmp_libmpz_cdiv_q Method
    - Set the quotient q to ceiling(n / d). + Set the quotient q to ceiling(n / d).

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/8b8d6ec1-3ae5-e6f3-f030-289abe5002d0.htm b/docs/html/8b8d6ec1-3ae5-e6f3-f030-289abe5002d0.htm index 970b40a..5d3d9ed 100644 --- a/docs/html/8b8d6ec1-3ae5-e6f3-f030-289abe5002d0.htm +++ b/docs/html/8b8d6ec1-3ae5-e6f3-f030-289abe5002d0.htm @@ -21,14 +21,14 @@ rop : mpz_t * stream : ptr<FILE> * base : int -> size_t -

    Parameters

    rop
    Type: Math.Gmp.Nativempz_t
    The result integer.
    stream
    Type: Math.Gmp.NativeptrFILE
    Pointer to file stream.
    base
    Type: SystemInt32
    The base operand.

    Return Value

    Type: size_t
    Return the number of bytes read, or if an error occurred, return 0.
    Remarks

    - The base may vary from 2 to 62, or if base is 0, - then the leading characters are used: 0x and 0X for hexadecimal, - 0b and 0B for binary, 0 for octal, or decimal otherwise. +

    Parameters

    rop
    Type: Math.Gmp.Nativempz_t
    The result integer.
    stream
    Type: Math.Gmp.NativeptrFILE
    Pointer to file stream.
    base
    Type: SystemInt32
    The base operand.

    Return Value

    Type: size_t
    Return the number of bytes read, or if an error occurred, return 0.
    Remarks

    + The base may vary from 2 to 62, or if base is 0, + then the leading characters are used: 0x and 0X for hexadecimal, + 0b and 0B for binary, 0 for octal, or decimal otherwise.

    - For bases up to 36, case is ignored; upper-case and lower-case letters have the same value. - For bases 37 to 62, upper-case letter represent the usual 10..35 while - lower-case letter represent 36..61. + For bases up to 36, case is ignored; upper-case and lower-case letters have the same value. + For bases 37 to 62, upper-case letter represent the usual 10..35 while + lower-case letter represent 36..61.

    Examples
    // Create and initialize op.
     mpz_t op = new mpz_t();
     gmp_lib.mpz_init(op);
    diff --git a/docs/html/8c8c1e55-275f-cff8-2152-883a4eaa163c.htm b/docs/html/8c8c1e55-275f-cff8-2152-883a4eaa163c.htm
    index 2a13e56..3c9aa83 100644
    --- a/docs/html/8c8c1e55-275f-cff8-2152-883a4eaa163c.htm
    +++ b/docs/html/8c8c1e55-275f-cff8-2152-883a4eaa163c.htm
    @@ -37,12 +37,12 @@
             endian : int * 
             nails : size_t * 
             op : void_ptr -> unit 
    -

    Parameters

    rop
    Type: Math.Gmp.Nativempz_t
    The result integer.
    count
    Type: Math.Gmp.Nativesize_t
    The number of words to read.
    order
    Type: SystemInt32
    1 for most significant word first or -1 for least significant first.
    size
    Type: Math.Gmp.Nativesize_t
    The number of bytes in each word.
    endian
    Type: SystemInt32
    1 for most significant byte first, -1 for least significant first, or 0 for the native endianness of the host CPU.
    nails
    Type: Math.Gmp.Nativesize_t
    The number of most significant bits to skip.
    op
    Type: Math.Gmp.Nativevoid_ptr
    The operand integer.
    Remarks

    +

    Parameters

    rop
    Type: Math.Gmp.Nativempz_t
    The result integer.
    count
    Type: Math.Gmp.Nativesize_t
    The number of words to read.
    order
    Type: SystemInt32
    1 for most significant word first or -1 for least significant first.
    size
    Type: Math.Gmp.Nativesize_t
    The number of bytes in each word.
    endian
    Type: SystemInt32
    1 for most significant byte first, -1 for least significant first, or 0 for the native endianness of the host CPU.
    nails
    Type: Math.Gmp.Nativesize_t
    The number of most significant bits to skip.
    op
    Type: Math.Gmp.Nativevoid_ptr
    The operand integer.
    Remarks

    The parameters specify the format of the data. count many words are read, each size bytes. - order can be 1 for most significant word first or -1 for least significant first. - Within each word endian can be 1 for most significant byte first, -1 for least significant first, or 0 for the native endianness of the host CPU. - The most significant nails bits of each word are skipped, this can be 0 to use the full words. + order can be 1 for most significant word first or -1 for least significant first. + Within each word endian can be 1 for most significant byte first, -1 for least significant first, or 0 for the native endianness of the host CPU. + The most significant nails bits of each word are skipped, this can be 0 to use the full words.

    There is no sign taken from the data, rop will simply be a positive integer. An application can handle any sign itself, and apply it for instance with mpz_neg(mpz_t, mpz_t). @@ -53,10 +53,10 @@

    C++
    unsigned long a[20];
     /* Initialize z and a */
     mpz_import(z, 20, 1, sizeof(a[0]), 0, 0, a);

    - This example assumes the full sizeof bytes are used for data in the given type, which is usually true, + This example assumes the full sizeof bytes are used for data in the given type, which is usually true, and certainly true for unsigned long everywhere we know of. However on Cray vector systems it may be noted that short - and int are always stored in 8 bytes (and with sizeof indicating that) but use only 32 or 46 bits. - The nails feature can account for this, by passing for instance 8 * sizeof(int) - INT_BIT. + and int are always stored in 8 bytes (and with sizeof indicating that) but use only 32 or 46 bits. + The nails feature can account for this, by passing for instance 8 * sizeof(int) - INT_BIT.

    Examples
    // Create, initialize, and set the value of rop to 0.
     mpz_t rop = new mpz_t();
     gmp_lib.mpz_init(rop);
    diff --git a/docs/html/8d141ae9-4a01-bdc9-caf3-8daba3321ac1.htm b/docs/html/8d141ae9-4a01-bdc9-caf3-8daba3321ac1.htm
    index 7093d4c..fade684 100644
    --- a/docs/html/8d141ae9-4a01-bdc9-caf3-8daba3321ac1.htm
    +++ b/docs/html/8d141ae9-4a01-bdc9-caf3-8daba3321ac1.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_mod Method 
    Click or drag to resize
    gmp_libmpz_mod Method
    - Set r to n mod d. + Set r to n mod d.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/8d80c2f9-de42-f223-595e-108f165d5746.htm b/docs/html/8d80c2f9-de42-f223-595e-108f165d5746.htm index bcb7f83..2bb6361 100644 --- a/docs/html/8d80c2f9-de42-f223-595e-108f165d5746.htm +++ b/docs/html/8d80c2f9-de42-f223-595e-108f165d5746.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_ui_sub Method
    Click or drag to resize
    gmp_libmpz_ui_sub Method
    - Set rop to op1 - op2. + Set rop to op1 - op2.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/8dc5397d-96e4-74dd-cd31-0d05649ea927.htm b/docs/html/8dc5397d-96e4-74dd-cd31-0d05649ea927.htm index a89ab8f..947df14 100644 --- a/docs/html/8dc5397d-96e4-74dd-cd31-0d05649ea927.htm +++ b/docs/html/8dc5397d-96e4-74dd-cd31-0d05649ea927.htm @@ -1,5 +1,5 @@ gmp_lib.mpq_div_2exp Method
    Click or drag to resize
    gmp_libmpq_div_2exp Method
    - Set rop to op1 / 2^op2. + Set rop to op1 / 2^op2.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/8e3a525d-9371-fb32-1051-e8e8fe23a63d.htm b/docs/html/8e3a525d-9371-fb32-1051-e8e8fe23a63d.htm index a9c6eb5..2622b19 100644 --- a/docs/html/8e3a525d-9371-fb32-1051-e8e8fe23a63d.htm +++ b/docs/html/8e3a525d-9371-fb32-1051-e8e8fe23a63d.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_pow_ui Method
    Click or drag to resize
    gmp_libmpz_pow_ui Method
    - Set rop to base^exp. The case 0^0 yields 1. + Set rop to base^exp. The case 0^0 yields 1.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/9074a45b-0d68-cf18-75fe-076e720a9a61.htm b/docs/html/9074a45b-0d68-cf18-75fe-076e720a9a61.htm index 206cdba..873e68f 100644 --- a/docs/html/9074a45b-0d68-cf18-75fe-076e720a9a61.htm +++ b/docs/html/9074a45b-0d68-cf18-75fe-076e720a9a61.htm @@ -29,7 +29,7 @@ The integer quotient is written to {r1p, s2n}. s2n can be zero.

    mpn_divmod_1(mp_ptr, mp_ptr, mp_size_t, mp_limb_t) exists for upward source compatibility and is simply a macro - calling mpn_divrem_1(mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_limb_t) with a qxn of 0. + calling mpn_divrem_1(mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_limb_t) with a qxn of 0.

    The areas at r1p and s2p have to be identical or completely separate, not partially overlapping. diff --git a/docs/html/9137a632-abd2-7963-1991-85e6d753bf13.htm b/docs/html/9137a632-abd2-7963-1991-85e6d753bf13.htm index bda621e..891c5ea 100644 --- a/docs/html/9137a632-abd2-7963-1991-85e6d753bf13.htm +++ b/docs/html/9137a632-abd2-7963-1991-85e6d753bf13.htm @@ -1,5 +1,5 @@ gmp_lib.mpn_sec_sub_1 Method

    Click or drag to resize
    gmp_libmpn_sec_sub_1 Method
    - Set R to A - b, where R = {rp, n}, A = {ap, n}, and b is a single limb. + Set R to A - b, where R = {rp, n}, A = {ap, n}, and b is a single limb.

    Namespace:  Math.Gmp.Native
    @@ -29,9 +29,9 @@ n : mp_size_t * b : mp_limb_t * tp : mp_ptr -> mp_limb_t -

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    ap
    Type: Math.Gmp.Nativemp_ptr
    The first operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of ap and rp.
    b
    Type: Math.Gmp.Nativemp_limb_t
    The second operand integer.
    tp
    Type: Math.Gmp.Nativemp_ptr
    The scratch operand integer.

    Return Value

    Type: mp_limb_t
    Returns borrow, either 0 or 1.
    Remarks

    - This function takes O(N) time, unlike the leaky functions mpn_sub_1(mp_ptr, mp_ptr, mp_size_t, mp_limb_t) which is O(1) on average. - It requires scratch space of mpn_sec_sub_1_itch(mp_size_t)(n) limbs, to be passed in the tp parameter. +

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    ap
    Type: Math.Gmp.Nativemp_ptr
    The first operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of ap and rp.
    b
    Type: Math.Gmp.Nativemp_limb_t
    The second operand integer.
    tp
    Type: Math.Gmp.Nativemp_ptr
    The scratch operand integer.

    Return Value

    Type: mp_limb_t
    Returns borrow, either 0 or 1.
    Remarks

    + This function takes O(N) time, unlike the leaky functions mpn_sub_1(mp_ptr, mp_ptr, mp_size_t, mp_limb_t) which is O(1) on average. + It requires scratch space of mpn_sec_sub_1_itch(mp_size_t)(n) limbs, to be passed in the tp parameter. The scratch space requirements are guaranteed to be at most n limbs, and increase monotonously in the operand size.

    Examples
    // Create multi-precision operands, and expected result.
     mp_ptr ap = new mp_ptr(new uint[] { 0xffffffff, 0xffffffff });
    diff --git a/docs/html/915a7958-6821-bb64-468f-b0b48b351878.htm b/docs/html/915a7958-6821-bb64-468f-b0b48b351878.htm
    index 9984ec9..c34daaf 100644
    --- a/docs/html/915a7958-6821-bb64-468f-b0b48b351878.htm
    +++ b/docs/html/915a7958-6821-bb64-468f-b0b48b351878.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpq_set_ui Method 
    Click or drag to resize
    gmp_libmpq_set_ui Method
    - Set the value of rop to op1 / op2. + Set the value of rop to op1 / op2.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/93210ab6-2523-3130-044a-80bcf43c181d.htm b/docs/html/93210ab6-2523-3130-044a-80bcf43c181d.htm index b190391..9d7e3e6 100644 --- a/docs/html/93210ab6-2523-3130-044a-80bcf43c181d.htm +++ b/docs/html/93210ab6-2523-3130-044a-80bcf43c181d.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_powm_sec Method
    Click or drag to resize
    gmp_libmpz_powm_sec Method
    - Set rop to (base^exp) modulo mod. + Set rop to (base^exp) modulo mod.

    Namespace:  Math.Gmp.Native
    @@ -26,7 +26,7 @@ exp : mpz_t * mod : mpz_t -> unit

    Parameters

    rop
    Type: Math.Gmp.Nativempz_t
    The result integer.
    base
    Type: Math.Gmp.Nativempz_t
    The base integer.
    exp
    Type: Math.Gmp.Nativempz_t
    The exponent integer.
    mod
    Type: Math.Gmp.Nativempz_t
    The modulo integer.
    Remarks

    - It is required that exp > 0 and that mod is odd. + It is required that exp > 0 and that mod is odd.

    This function is designed to take the same time and have the same cache access patterns for any two same-size arguments, assuming that function arguments are placed at the same position and that the machine state is identical upon function entry. diff --git a/docs/html/95e10fea-31c2-e900-c5b0-f48636e1d76e.htm b/docs/html/95e10fea-31c2-e900-c5b0-f48636e1d76e.htm index a0cd2f2..69d4c15 100644 --- a/docs/html/95e10fea-31c2-e900-c5b0-f48636e1d76e.htm +++ b/docs/html/95e10fea-31c2-e900-c5b0-f48636e1d76e.htm @@ -27,7 +27,7 @@ s2limb : mp_limb_t -> mp_limb_t

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    s1p
    Type: Math.Gmp.Nativemp_ptr
    The first operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of s1p
    s2limb
    Type: Math.Gmp.Nativemp_limb_t
    The second operand integer.

    Return Value

    Type: mp_limb_t
    Return the most significant limb of the product, plus borrow-out from the subtraction.
    Remarks

    {s1p, n} and {rp, n} - are allowed to overlap provided rps1p. + are allowed to overlap provided rps1p.

    This is a low-level function that is a building block for general multiplication and division as well as other operations in GMP. It is written in assembly for most CPUs. diff --git a/docs/html/96e2fb95-0ac0-3d24-bea9-ee5631f30347.htm b/docs/html/96e2fb95-0ac0-3d24-bea9-ee5631f30347.htm index 7ab3424..f9c7cec 100644 --- a/docs/html/96e2fb95-0ac0-3d24-bea9-ee5631f30347.htm +++ b/docs/html/96e2fb95-0ac0-3d24-bea9-ee5631f30347.htm @@ -1,5 +1,5 @@ gmp_lib.mpf_pow_ui Method

    Click or drag to resize
    gmp_libmpf_pow_ui Method
    - Set rop to op1^op2. + Set rop to op1^op2.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/98083eac-9993-41b2-4943-678785fce712.htm b/docs/html/98083eac-9993-41b2-4943-678785fce712.htm index da5fbcc..d2aed4e 100644 --- a/docs/html/98083eac-9993-41b2-4943-678785fce712.htm +++ b/docs/html/98083eac-9993-41b2-4943-678785fce712.htm @@ -1,5 +1,5 @@ gmp_lib.mpf_init2 Method
    Click or drag to resize
    gmp_libmpf_init2 Method
    - Initialize x to 0 and set its precision to be at least prec bits. + Initialize x to 0 and set its precision to be at least prec bits.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/981cfca4-f958-045f-84b7-01717fcd88d1.htm b/docs/html/981cfca4-f958-045f-84b7-01717fcd88d1.htm index 902232d..d4dd753 100644 --- a/docs/html/981cfca4-f958-045f-84b7-01717fcd88d1.htm +++ b/docs/html/981cfca4-f958-045f-84b7-01717fcd88d1.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_urandomm Method
    Click or drag to resize
    gmp_libmpz_urandomm Method
    - Generate a uniform random integer in the range 0 to n - 1, inclusive. + Generate a uniform random integer in the range 0 to n - 1, inclusive.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/985a65cd-9a65-e8b3-580b-626b65662dd6.htm b/docs/html/985a65cd-9a65-e8b3-580b-626b65662dd6.htm index 8687c79..f51066e 100644 --- a/docs/html/985a65cd-9a65-e8b3-580b-626b65662dd6.htm +++ b/docs/html/985a65cd-9a65-e8b3-580b-626b65662dd6.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_primorial_ui Method
    Click or drag to resize
    gmp_libmpz_primorial_ui Method
    - Set rop to the primorial of n, i.e. the product of all positive prime numbers n. + Set rop to the primorial of n, i.e. the product of all positive prime numbers ≤ n.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/99a405b5-c051-9905-cf57-7139a0e503cf.htm b/docs/html/99a405b5-c051-9905-cf57-7139a0e503cf.htm index 5986616..b5f2b53 100644 --- a/docs/html/99a405b5-c051-9905-cf57-7139a0e503cf.htm +++ b/docs/html/99a405b5-c051-9905-cf57-7139a0e503cf.htm @@ -1,5 +1,5 @@ gmp_lib.mpf_mul_ui Method
    Click or drag to resize
    gmp_libmpf_mul_ui Method
    - Set rop to op1 * op2. + Set rop to op1 * op2.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/9a68645a-d8d6-f4c1-f706-0dc217f9809a.htm b/docs/html/9a68645a-d8d6-f4c1-f706-0dc217f9809a.htm index d9e67a4..a63f5e5 100644 --- a/docs/html/9a68645a-d8d6-f4c1-f706-0dc217f9809a.htm +++ b/docs/html/9a68645a-d8d6-f4c1-f706-0dc217f9809a.htm @@ -25,15 +25,15 @@ str : char_ptr * strsize : size_t * base : int -> mp_size_t -

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    str
    Type: Math.Gmp.Nativechar_ptr
    The operand string.
    strsize
    Type: Math.Gmp.Nativesize_t
    The length of str.
    base
    Type: SystemInt32

    Return Value

    Type: mp_size_t
    The number of limbs of rp.
    Remarks

    str[0] is the most significant input byte and - str[strsize - 1] is the least significant input byte. - Each byte should be a value in the range 0 to base - 1, - not an ASCII character. base can vary from 2 to 256. +

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    str
    Type: Math.Gmp.Nativechar_ptr
    The operand string.
    strsize
    Type: Math.Gmp.Nativesize_t
    The length of str.
    base
    Type: SystemInt32

    Return Value

    Type: mp_size_t
    The number of limbs of rp.
    Remarks

    str[0] is the most significant input byte and + str[strsize - 1] is the least significant input byte. + Each byte should be a value in the range 0 to base - 1, + not an ASCII character. base can vary from 2 to 256.

    - The converted value is {rp, rn} where rn is the return value. - If the most significant input byte str[0] is non-zero, - then rp[rn - 1] will be non-zero, - else rp[rn - 1] and some number of subsequent limbs may be zero. + The converted value is {rp, rn} where rn is the return value. + If the most significant input byte str[0] is non-zero, + then rp[rn - 1] will be non-zero, + else rp[rn - 1] and some number of subsequent limbs may be zero.

    The area at rp has to have space for the largest possible number with strsize digits in the chosen base, plus one extra limb. diff --git a/docs/html/9de702f4-758b-2a4e-1025-ed5e46cc7db2.htm b/docs/html/9de702f4-758b-2a4e-1025-ed5e46cc7db2.htm index b5ba6b2..488f04d 100644 --- a/docs/html/9de702f4-758b-2a4e-1025-ed5e46cc7db2.htm +++ b/docs/html/9de702f4-758b-2a4e-1025-ed5e46cc7db2.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_powm Method

    Click or drag to resize
    gmp_libmpz_powm Method
    - Set rop to (base^exp) modulo mod. + Set rop to (base^exp) modulo mod.

    Namespace:  Math.Gmp.Native
    @@ -26,7 +26,7 @@ exp : mpz_t * mod : mpz_t -> unit

    Parameters

    rop
    Type: Math.Gmp.Nativempz_t
    The result integer.
    base
    Type: Math.Gmp.Nativempz_t
    The base integer.
    exp
    Type: Math.Gmp.Nativempz_t
    The exponent integer.
    mod
    Type: Math.Gmp.Nativempz_t
    The modulo integer.
    Remarks

    - Negative exp is supported if an inverse base^-1 modulo mod exists (see mpz_invert(mpz_t, mpz_t, mpz_t)). + Negative exp is supported if an inverse base^-1 modulo mod exists (see mpz_invert(mpz_t, mpz_t, mpz_t)). If an inverse doesn’t exist then a divide by zero is raised.

    Examples
    // Create, initialize, and set the value of base to 2.
     mpz_t @base = new mpz_t();
    diff --git a/docs/html/9fd28088-e353-2b5e-03e3-9c2763226ed6.htm b/docs/html/9fd28088-e353-2b5e-03e3-9c2763226ed6.htm
    index 23a0a1f..b2eefd3 100644
    --- a/docs/html/9fd28088-e353-2b5e-03e3-9c2763226ed6.htm
    +++ b/docs/html/9fd28088-e353-2b5e-03e3-9c2763226ed6.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_powm_ui Method 
    Click or drag to resize
    gmp_libmpz_powm_ui Method
    - Set rop to (base^exp) modulo mod. + Set rop to (base^exp) modulo mod.

    Namespace:  Math.Gmp.Native
    @@ -26,7 +26,7 @@ exp : uint32 * mod : mpz_t -> unit

    Parameters

    rop
    Type: Math.Gmp.Nativempz_t
    The result integer.
    base
    Type: Math.Gmp.Nativempz_t
    The base integer.
    exp
    Type: SystemUInt32
    The exponent integer.
    mod
    Type: Math.Gmp.Nativempz_t
    The modulo integer.
    Remarks

    - Negative exp is supported if an inverse base^-1 modulo mod exists (see mpz_invert(mpz_t, mpz_t, mpz_t)). + Negative exp is supported if an inverse base^-1 modulo mod exists (see mpz_invert(mpz_t, mpz_t, mpz_t)). If an inverse doesn’t exist then a divide by zero is raised.

    Examples
    // Create, initialize, and set the value of base to 2.
     mpz_t @base = new mpz_t();
    diff --git a/docs/html/9fe90631-f519-1cf3-5a20-701d2bae1d0d.htm b/docs/html/9fe90631-f519-1cf3-5a20-701d2bae1d0d.htm
    index 0f528be..d7987a6 100644
    --- a/docs/html/9fe90631-f519-1cf3-5a20-701d2bae1d0d.htm
    +++ b/docs/html/9fe90631-f519-1cf3-5a20-701d2bae1d0d.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpn_tdiv_qr Method 
    Click or drag to resize
    gmp_libmpn_tdiv_qr Method
    - Divide {np, nn} by {dp, dn} and put the quotient at {qp, nn - dn + 1} and the remainder at {rp, dn}. + Divide {np, nn} by {dp, dn} and put the quotient at {qp, nn - dn + 1} and the remainder at {rp, dn}.

    Namespace:  Math.Gmp.Native
    @@ -37,8 +37,8 @@ nn : mp_size_t * dp : mp_ptr * dn : mp_size_t -> unit -

    Parameters

    qp
    Type: Math.Gmp.Nativemp_ptr
    The result quotient integer.
    rp
    Type: Math.Gmp.Nativemp_ptr
    The result remainder integer.
    qxn
    Type: Math.Gmp.Nativemp_size_t
    Must be 0.
    np
    Type: Math.Gmp.Nativemp_ptr
    The numerator operand integer.
    nn
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of np.
    dp
    Type: Math.Gmp.Nativemp_ptr
    The denominator operand integer.
    dn
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of dp.
    Remarks

    - The quotient is rounded towards 0. +

    Parameters

    qp
    Type: Math.Gmp.Nativemp_ptr
    The result quotient integer.
    rp
    Type: Math.Gmp.Nativemp_ptr
    The result remainder integer.
    qxn
    Type: Math.Gmp.Nativemp_size_t
    Must be 0.
    np
    Type: Math.Gmp.Nativemp_ptr
    The numerator operand integer.
    nn
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of np.
    dp
    Type: Math.Gmp.Nativemp_ptr
    The denominator operand integer.
    dn
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of dp.
    Remarks

    + The quotient is rounded towards 0.

    No overlap is permitted between arguments, except that np might equal rp. diff --git a/docs/html/a248732b-c4be-7e9a-4207-0049371764ff.htm b/docs/html/a248732b-c4be-7e9a-4207-0049371764ff.htm index 33ad30b..b314fe2 100644 --- a/docs/html/a248732b-c4be-7e9a-4207-0049371764ff.htm +++ b/docs/html/a248732b-c4be-7e9a-4207-0049371764ff.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_si_kronecker Method

    Click or drag to resize
    gmp_libmpz_si_kronecker Method
    - Calculate the Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even. + Calculate the Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even.

    Namespace:  Math.Gmp.Native
    @@ -17,7 +17,7 @@ )

    Parameters

    a
    Type: SystemInt32
    The first operand integer.
    b
    Type: Math.Gmp.Nativempz_t
    The second operand integer.

    Return Value

    Type: Int32
    The Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even.
    Remarks

    +

    Parameters

    a
    Type: SystemInt32
    The first operand integer.
    b
    Type: Math.Gmp.Nativempz_t
    The second operand integer.

    Return Value

    Type: Int32
    The Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even.
    Remarks

    When b is odd the Jacobi symbol and Kronecker symbol are identical, so mpz_kronecker_ui(mpz_t, UInt32), etc. can be used for mixed precision Jacobi symbols too.

    Examples
    // Create, initialize, and set the value of b to 4.
    diff --git a/docs/html/a38b87c5-c6ac-fa68-6d58-c45793bf933e.htm b/docs/html/a38b87c5-c6ac-fa68-6d58-c45793bf933e.htm
    index d32a262..c7c69a7 100644
    --- a/docs/html/a38b87c5-c6ac-fa68-6d58-c45793bf933e.htm
    +++ b/docs/html/a38b87c5-c6ac-fa68-6d58-c45793bf933e.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpn_sec_powm Method 
    Click or drag to resize
    gmp_libmpn_sec_powm Method
    - Set R to (B^E) modulo M, where R = {rp, n}, M = {mp, n}, and E = {ep, ceil(enb / mp_bits_per_limb)}. + Set R to (B^E) modulo M, where R = {rp, n}, M = {mp, n}, and E = {ep, ceil(enb / mp_bits_per_limb)}.

    Namespace:  Math.Gmp.Native
    @@ -42,11 +42,11 @@ n : mp_size_t * tp : mp_ptr -> unit

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result operand.
    bp
    Type: Math.Gmp.Nativemp_ptr
    The first operand integer.
    bn
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of bp.
    ep
    Type: Math.Gmp.Nativemp_ptr
    The second operand integer.
    enb
    Type: Math.Gmp.Nativemp_bitcnt_t
    The number of limbs of ep.
    mp
    Type: Math.Gmp.Nativemp_ptr
    The third operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of mp.
    tp
    Type: Math.Gmp.Nativemp_ptr
    The scratch operand integer.
    Remarks

    - It is required that B > 0, that M > 0 is odd, and that E < 2^enb. + It is required that B > 0, that M > 0 is odd, and that E < 2^enb.

    - No overlapping between R and the input operands is allowed. + No overlapping between R and the input operands is allowed.

    - This function requires scratch space of mpn_sec_powm_itch(mp_size_t, mp_bitcnt_t, mp_size_t)(bn, enb, n) + This function requires scratch space of mpn_sec_powm_itch(mp_size_t, mp_bitcnt_t, mp_size_t)(bn, enb, n) limbs to be passed in the tp parameter. The scratch space requirements are guaranteed to increase monotonously in the operand sizes.

    Examples
    // Create multi-precision operands, and expected result.
    diff --git a/docs/html/a48d50bf-0432-7feb-cc41-d6bf70f78e58.htm b/docs/html/a48d50bf-0432-7feb-cc41-d6bf70f78e58.htm
    index 0150ab4..535dad6 100644
    --- a/docs/html/a48d50bf-0432-7feb-cc41-d6bf70f78e58.htm
    +++ b/docs/html/a48d50bf-0432-7feb-cc41-d6bf70f78e58.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_lucnum_ui Method 
    Click or drag to resize
    gmp_libmpz_lucnum_ui Method
    - Sets ln to to L[n], the n’th Lucas number. + Sets ln to to L[n], the n’th Lucas number.

    Namespace:  Math.Gmp.Native
    @@ -17,7 +17,7 @@ )

    Parameters

    ln
    Type: Math.Gmp.Nativempz_t
    The L[n] result.
    n
    Type: SystemUInt32
    The operand integer.
    Remarks

    +

    Parameters

    ln
    Type: Math.Gmp.Nativempz_t
    The L[n] result.
    n
    Type: SystemUInt32
    The operand integer.
    Remarks

    The Fibonacci numbers and Lucas numbers are related sequences, so it’s never necessary to call both mpz_fib2_ui(mpz_t, mpz_t, UInt32) and mpz_lucnum2_ui(mpz_t, mpz_t, UInt32). The formulas for going from Fibonacci to Lucas can be found in diff --git a/docs/html/a4def6d8-f8a5-f76f-4ef0-3e6e7eec23fb.htm b/docs/html/a4def6d8-f8a5-f76f-4ef0-3e6e7eec23fb.htm index 45356fe..ce2c86c 100644 --- a/docs/html/a4def6d8-f8a5-f76f-4ef0-3e6e7eec23fb.htm +++ b/docs/html/a4def6d8-f8a5-f76f-4ef0-3e6e7eec23fb.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_cdiv_q_2exp Method

    Click or drag to resize
    gmp_libmpz_cdiv_q_2exp Method
    - Set the quotient q to ceiling(n / 2^b). + Set the quotient q to ceiling(n / 2^b).

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/a58b3e42-f5e9-42d3-e71a-2a6f68dec3a9.htm b/docs/html/a58b3e42-f5e9-42d3-e71a-2a6f68dec3a9.htm index dbf1f92..fd31866 100644 --- a/docs/html/a58b3e42-f5e9-42d3-e71a-2a6f68dec3a9.htm +++ b/docs/html/a58b3e42-f5e9-42d3-e71a-2a6f68dec3a9.htm @@ -1,5 +1,5 @@ -gmp_lib.mpz_tdiv_r_ui Method
    Click or drag to resize
    gmp_libmpz_tdiv_r_ui Method
    - Set the remainder r to n - q * d where q = trunc(n / d), and return |r|. +gmp_lib.mpz_tdiv_r_ui Method
    Click or drag to resize
    gmp_libmpz_tdiv_r_ui Method
    + Set the remainder r to n - q * d where q = trunc(n / d), and return | r |.

    Namespace:  Math.Gmp.Native
    @@ -21,7 +21,7 @@ r : mpz_t * n : mpz_t * d : uint32 -> uint64 -

    Parameters

    r
    Type: Math.Gmp.Nativempz_t
    The result remainder integer.
    n
    Type: Math.Gmp.Nativempz_t
    The numerator integer.
    d
    Type: SystemUInt32
    The denominator integer.

    Return Value

    Type: UInt64
    Return |r|.
    Examples
    // Create, initialize, and set the value of n to 10000.
    +

    Parameters

    r
    Type: Math.Gmp.Nativempz_t
    The result remainder integer.
    n
    Type: Math.Gmp.Nativempz_t
    The numerator integer.
    d
    Type: SystemUInt32
    The denominator integer.

    Return Value

    Type: UInt64
    Return | r |.
    Examples
    // Create, initialize, and set the value of n to 10000.
     mpz_t n = new mpz_t();
     gmp_lib.mpz_init_set_si(n, 10000);
     
    diff --git a/docs/html/a637ce7e-54d7-eba9-0c6f-c237f115b621.htm b/docs/html/a637ce7e-54d7-eba9-0c6f-c237f115b621.htm
    index 2046a68..c87bb39 100644
    --- a/docs/html/a637ce7e-54d7-eba9-0c6f-c237f115b621.htm
    +++ b/docs/html/a637ce7e-54d7-eba9-0c6f-c237f115b621.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_rootrem Method 
    Click or drag to resize
    gmp_libmpz_rootrem Method
    - Set root to the truncated integer part of the nth root of u. Set rem to the remainder, u - root^n. + Set root to the truncated integer part of the nth root of u. Set rem to the remainder, u - root^n.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/acb6d3d4-70ad-58be-7cb8-9edb997204b3.htm b/docs/html/acb6d3d4-70ad-58be-7cb8-9edb997204b3.htm index 29acdd0..f3f3c30 100644 --- a/docs/html/acb6d3d4-70ad-58be-7cb8-9edb997204b3.htm +++ b/docs/html/acb6d3d4-70ad-58be-7cb8-9edb997204b3.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_add Method
    Click or drag to resize
    gmp_libmpz_add Method
    - Set rop to op1 + op2. + Set rop to op1 + op2.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/ae3c6cf7-08a0-54dd-951f-b2fe2112b8b0.htm b/docs/html/ae3c6cf7-08a0-54dd-951f-b2fe2112b8b0.htm index a716254..b88213a 100644 --- a/docs/html/ae3c6cf7-08a0-54dd-951f-b2fe2112b8b0.htm +++ b/docs/html/ae3c6cf7-08a0-54dd-951f-b2fe2112b8b0.htm @@ -25,7 +25,7 @@ s1p : mp_ptr * n : mp_size_t * s2limb : mp_limb_t -> mp_limb_t -

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    s1p
    Type: Math.Gmp.Nativemp_ptr
    The first operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The numbe rof limbs of s1p.
    s2limb
    Type: Math.Gmp.Nativemp_limb_t
    The second operand integer.

    Return Value

    Type: mp_limb_t
    Return borrow, either 0 or 1.
    Examples
    // Create multi-precision operands, and expected result.
    +

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    s1p
    Type: Math.Gmp.Nativemp_ptr
    The first operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The numbe rof limbs of s1p.
    s2limb
    Type: Math.Gmp.Nativemp_limb_t
    The second operand integer.

    Return Value

    Type: mp_limb_t
    Return borrow, either 0 or 1.
    Examples
    // Create multi-precision operands, and expected result.
     mp_ptr s1p = new mp_ptr(new uint[] { 0xffffffff, 0xffffffff });
     mp_ptr rp = new mp_ptr(new uint[2]);
     mp_ptr result = new mp_ptr(new uint[] { 0xfffffffe, 0xffffffff });
    diff --git a/docs/html/af797947-8f84-320e-d1cd-ba578b26cef3.htm b/docs/html/af797947-8f84-320e-d1cd-ba578b26cef3.htm
    index 2e7e8ab..cda2b90 100644
    --- a/docs/html/af797947-8f84-320e-d1cd-ba578b26cef3.htm
    +++ b/docs/html/af797947-8f84-320e-d1cd-ba578b26cef3.htm
    @@ -1,5 +1,5 @@
    -gmp_lib.mpz_cdiv_r_ui Method 
    Click or drag to resize
    gmp_libmpz_cdiv_r_ui Method
    - Set the remainder r to n - q * d where q = ceiling(n / d), and return |r|. +gmp_lib.mpz_cdiv_r_ui Method
    Click or drag to resize
    gmp_libmpz_cdiv_r_ui Method
    + Set the remainder r to n - q * d where q = ceiling(n / d), and return | r |.

    Namespace:  Math.Gmp.Native
    @@ -21,7 +21,7 @@ r : mpz_t * n : mpz_t * d : uint32 -> uint32 -

    Parameters

    r
    Type: Math.Gmp.Nativempz_t
    The result remainder integer.
    n
    Type: Math.Gmp.Nativempz_t
    The numerator integer.
    d
    Type: SystemUInt32
    The denominator integer.

    Return Value

    Type: UInt32
    Return |r|.
    Examples
    // Create, initialize, and set the value of n to 10000.
    +

    Parameters

    r
    Type: Math.Gmp.Nativempz_t
    The result remainder integer.
    n
    Type: Math.Gmp.Nativempz_t
    The numerator integer.
    d
    Type: SystemUInt32
    The denominator integer.

    Return Value

    Type: UInt32
    Return | r |.
    Examples
    // Create, initialize, and set the value of n to 10000.
     mpz_t n = new mpz_t();
     gmp_lib.mpz_init_set_si(n, 10000);
     
    diff --git a/docs/html/b0d00a52-e539-c5f7-7d6d-ab202e72ad98.htm b/docs/html/b0d00a52-e539-c5f7-7d6d-ab202e72ad98.htm
    index 39e48ad..c00d21b 100644
    --- a/docs/html/b0d00a52-e539-c5f7-7d6d-ab202e72ad98.htm
    +++ b/docs/html/b0d00a52-e539-c5f7-7d6d-ab202e72ad98.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_fdiv_q Method 
    Click or drag to resize
    gmp_libmpz_fdiv_q Method
    - Set the quotient q to floor(n / d). + Set the quotient q to floor(n / d).

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/b0f120a7-a215-fbff-1138-bac5df8d741c.htm b/docs/html/b0f120a7-a215-fbff-1138-bac5df8d741c.htm index 954449b..14302ec 100644 --- a/docs/html/b0f120a7-a215-fbff-1138-bac5df8d741c.htm +++ b/docs/html/b0f120a7-a215-fbff-1138-bac5df8d741c.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_fdiv_r_2exp Method
    Click or drag to resize
    gmp_libmpz_fdiv_r_2exp Method
    - Set the remainder r to n - q * 2^b where q = floor(n / 2^b). + Set the remainder r to n - q * 2^b where q = floor(n / 2^b).

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/b104184e-cf49-dbdb-764a-9dee5cf7b2fd.htm b/docs/html/b104184e-cf49-dbdb-764a-9dee5cf7b2fd.htm index 4ece563..0404f61 100644 --- a/docs/html/b104184e-cf49-dbdb-764a-9dee5cf7b2fd.htm +++ b/docs/html/b104184e-cf49-dbdb-764a-9dee5cf7b2fd.htm @@ -25,7 +25,7 @@ s1p : mp_ptr * s2p : mp_ptr * n : mp_size_t -> mp_limb_t -

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    s1p
    Type: Math.Gmp.Nativemp_ptr
    The first operand integer.
    s2p
    Type: Math.Gmp.Nativemp_ptr
    The second operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The numbe rof limbs of s1p and s2p.

    Return Value

    Type: mp_limb_t
    Return borrow, either 0 or 1.
    Examples
    // Create multi-precision operands, and expected result.
    +

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    s1p
    Type: Math.Gmp.Nativemp_ptr
    The first operand integer.
    s2p
    Type: Math.Gmp.Nativemp_ptr
    The second operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The numbe rof limbs of s1p and s2p.

    Return Value

    Type: mp_limb_t
    Return borrow, either 0 or 1.
    Examples
    // Create multi-precision operands, and expected result.
     mp_ptr s1p = new mp_ptr(new uint[] { 0xffffffff, 0xffffffff });
     mp_ptr s2p = new mp_ptr(new uint[] { 0x00000001, 0x00000000 });
     mp_ptr rp = new mp_ptr(new uint[2]);
    diff --git a/docs/html/b4ff3a9e-3ab5-689f-7a80-b61dad2ea125.htm b/docs/html/b4ff3a9e-3ab5-689f-7a80-b61dad2ea125.htm
    index 64c9984..c279224 100644
    --- a/docs/html/b4ff3a9e-3ab5-689f-7a80-b61dad2ea125.htm
    +++ b/docs/html/b4ff3a9e-3ab5-689f-7a80-b61dad2ea125.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_mfac_uiui Method 
    Click or drag to resize
    gmp_libmpz_mfac_uiui Method
    - Set rop to the m-multi-factorial n!^(m)n. + Set rop to the m-multi-factorial n!^(m)n.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/b52f3ab3-7ad3-7dde-14a2-83c81840b829.htm b/docs/html/b52f3ab3-7ad3-7dde-14a2-83c81840b829.htm index f4dde57..2048cf1 100644 --- a/docs/html/b52f3ab3-7ad3-7dde-14a2-83c81840b829.htm +++ b/docs/html/b52f3ab3-7ad3-7dde-14a2-83c81840b829.htm @@ -25,9 +25,9 @@ sp : mp_ptr * n : mp_size_t * count : uint32 -> mp_limb_t -

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    sp
    Type: Math.Gmp.Nativemp_ptr
    The operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of sp.
    count
    Type: SystemUInt32
    The number of bits ot shift.

    Return Value

    Type: mp_limb_t
    The bits shifted out at the left are returned in the least significant count bits of the return value (the rest of the return value is zero).
    Remarks

    count must be in the range 1 to mp_bits_per_limb - 1. +

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    sp
    Type: Math.Gmp.Nativemp_ptr
    The operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of sp.
    count
    Type: SystemUInt32
    The number of bits ot shift.

    Return Value

    Type: mp_limb_t
    The bits shifted out at the left are returned in the least significant count bits of the return value (the rest of the return value is zero).
    Remarks

    count must be in the range 1 to mp_bits_per_limb - 1. The regions {sp, n} and {rp, n} may overlap, - provided rpsp. + provided rpsp.

    This function is written in assembly for most CPUs.

    Examples
    // Create multi-precision operands, and expected result.
    diff --git a/docs/html/b6bd5187-99bb-c6b5-d871-b163fa0f7e0e.htm b/docs/html/b6bd5187-99bb-c6b5-d871-b163fa0f7e0e.htm
    index b5bab0d..e357e3d 100644
    --- a/docs/html/b6bd5187-99bb-c6b5-d871-b163fa0f7e0e.htm
    +++ b/docs/html/b6bd5187-99bb-c6b5-d871-b163fa0f7e0e.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpq_neg Method 
    Click or drag to resize
    gmp_libmpq_neg Method
    - Set negated_operand to -operand. + Set negated_operand to -operand.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/b819fb3b-5d3e-ff23-1687-0e71af684bd7.htm b/docs/html/b819fb3b-5d3e-ff23-1687-0e71af684bd7.htm index 6d8439e..6f9bef2 100644 --- a/docs/html/b819fb3b-5d3e-ff23-1687-0e71af684bd7.htm +++ b/docs/html/b819fb3b-5d3e-ff23-1687-0e71af684bd7.htm @@ -27,12 +27,12 @@ s2limb : mp_limb_t -> mp_limb_t

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    s1p
    Type: Math.Gmp.Nativemp_ptr
    The first operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of s1p.
    s2limb
    Type: Math.Gmp.Nativemp_limb_t
    The second operand integer.

    Return Value

    Type: mp_limb_t
    Return the most significant limb of the product.
    Remarks

    {s1p, n} and {rp, n} - are allowed to overlap provided rps1p. + are allowed to overlap provided rps1p.

    This is a low-level function that is a building block for general multiplication as well as other operations in GMP. It is written in assembly for most CPUs.

    - Don’t call this function if s2limb is a power of 2; + Don’t call this function if s2limb is a power of 2; use mpn_lshift(mp_ptr, mp_ptr, mp_size_t, UInt32) with a count equal to the logarithm of s2limb instead, for optimal speed.

    Examples
    // Create multi-precision operands, and expected result.
    diff --git a/docs/html/b82bad6a-f8f0-db53-a6d3-ed6002046257.htm b/docs/html/b82bad6a-f8f0-db53-a6d3-ed6002046257.htm
    index 4fa5089..41b9225 100644
    --- a/docs/html/b82bad6a-f8f0-db53-a6d3-ed6002046257.htm
    +++ b/docs/html/b82bad6a-f8f0-db53-a6d3-ed6002046257.htm
    @@ -29,7 +29,7 @@
             s1p : mp_ptr * 
             s2p : mp_ptr * 
             n : mp_size_t -> mp_limb_t 
    -

    Parameters

    cnd
    Type: Math.Gmp.Nativemp_limb_t
    Conditonal value: non-zero for true, zero for false.
    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    s1p
    Type: Math.Gmp.Nativemp_ptr
    The first operand integer.
    s2p
    Type: Math.Gmp.Nativemp_ptr
    The second operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of s1p and s2p.

    Return Value

    Type: mp_limb_t
    If cnd is non-zero, return borrow, either 0 or 1, and if cnd is zero, return 0.
    Remarks

    +

    Parameters

    cnd
    Type: Math.Gmp.Nativemp_limb_t
    Conditonal value: non-zero for true, zero for false.
    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    s1p
    Type: Math.Gmp.Nativemp_ptr
    The first operand integer.
    s2p
    Type: Math.Gmp.Nativemp_ptr
    The second operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of s1p and s2p.

    Return Value

    Type: mp_limb_t
    If cnd is non-zero, return borrow, either 0 or 1, and if cnd is zero, return 0.
    Remarks

    This function does conditional addition. If cnd is non-zero, it produces the same result as a regular mpn_sub_n(mp_ptr, mp_ptr, mp_ptr, mp_size_t), and if cnd is zero, it copies {s1p, n} to the result area and returns zero. diff --git a/docs/html/b9df04c4-224e-f2ad-8e90-fbb3b30bd76d.htm b/docs/html/b9df04c4-224e-f2ad-8e90-fbb3b30bd76d.htm index 317f422..a9f7f44 100644 --- a/docs/html/b9df04c4-224e-f2ad-8e90-fbb3b30bd76d.htm +++ b/docs/html/b9df04c4-224e-f2ad-8e90-fbb3b30bd76d.htm @@ -29,7 +29,7 @@ s1n : mp_size_t * s2p : mp_ptr * s2n : mp_size_t -> mp_limb_t -

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    s1p
    Type: Math.Gmp.Nativemp_ptr
    The first operand integer.
    s1n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs in s1p.
    s2p
    Type: Math.Gmp.Nativemp_ptr
    The second operand integer.
    s2n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs in s2p.

    Return Value

    Type: mp_limb_t
    Return carry, either 0 or 1.
    Remarks

    +

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    s1p
    Type: Math.Gmp.Nativemp_ptr
    The first operand integer.
    s1n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs in s1p.
    s2p
    Type: Math.Gmp.Nativemp_ptr
    The second operand integer.
    s2n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs in s2p.

    Return Value

    Type: mp_limb_t
    Return carry, either 0 or 1.
    Remarks

    This function requires that s1n is greater than or equal to s2n.

    Examples
    // Create multi-precision operands, and expected result.
     mp_ptr s1p = new mp_ptr(new uint[] { 0xffffffff, 0xffffffff });
    diff --git a/docs/html/ba898f37-20d0-a5cd-eff1-0663f18220dd.htm b/docs/html/ba898f37-20d0-a5cd-eff1-0663f18220dd.htm
    index 5fd4b05..c795a0f 100644
    --- a/docs/html/ba898f37-20d0-a5cd-eff1-0663f18220dd.htm
    +++ b/docs/html/ba898f37-20d0-a5cd-eff1-0663f18220dd.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpq_set_si Method 
    Click or drag to resize
    gmp_libmpq_set_si Method
    - Set the value of rop to op1 / op2. + Set the value of rop to op1 / op2.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/bad56282-fbca-6e3b-03c8-085cff07eed8.htm b/docs/html/bad56282-fbca-6e3b-03c8-085cff07eed8.htm index dae2eb2..e3f12e6 100644 --- a/docs/html/bad56282-fbca-6e3b-03c8-085cff07eed8.htm +++ b/docs/html/bad56282-fbca-6e3b-03c8-085cff07eed8.htm @@ -30,30 +30,30 @@ n_digits : size_t * op : mpf_t -> char_ptr

    Parameters

    str
    Type: Math.Gmp.Nativechar_ptr
    expptr
    Type: Math.Gmp.Nativeptrmp_exp_t
    base
    Type: SystemInt32
    n_digits
    Type: Math.Gmp.Nativesize_t
    op
    Type: Math.Gmp.Nativempf_t

    Return Value

    Type: char_ptr
    A pointer to the result string is returned, being either the allocated block or the given str.
    Remarks

    - The base argument may vary from 2 to 62 or from -2 to -36. + The base argument may vary from 2 to 62 or from -2 to -36. Up to n_digits digits will be generated. Trailing zeros are not returned. No more digits than can be accurately represented by op are ever generated. - If n_digits is 0 then that accurate maximum number of digits are generated. + If n_digits is 0 then that accurate maximum number of digits are generated.

    - For base in the range 2..36, digits and lower-case letters are used; for -2..-36, - digits and upper-case letters are used; for 37..62, digits, upper-case letters, and lower-case letters + For base in the range 2..36, digits and lower-case letters are used; for -2..-36, + digits and upper-case letters are used; for 37..62, digits, upper-case letters, and lower-case letters (in that significance order) are used.

    If str is NULL, the result string is allocated using the current allocation function (see GNU MP - Custom Allocation). - The block will be strlen(str) + 1 bytes, that being exactly enough for the string and null-terminator. + The block will be strlen(str) + 1 bytes, that being exactly enough for the string and null-terminator.

    - If str is not NULL, it should point to a block of n_digits + 2 bytes, + If str is not NULL, it should point to a block of n_digits + 2 bytes, that being enough for the mantissa, a possible minus sign, and a null-terminator. - When n_digits is 0 to get all significant digits, an application won’t be able to know + When n_digits is 0 to get all significant digits, an application won’t be able to know the space required, and str should be NULL in that case.

    The generated string is a fraction, with an implicit radix point immediately to the left of the first digit. The applicable exponent is written through the expptr pointer. - For example, the number 3.1416 would be returned as string "31416" and exponent 1. + For example, the number 3.1416 would be returned as string "31416" and exponent 1.

    - When op is zero, an empty string is produced and the exponent returned is 0. + When op is zero, an empty string is produced and the exponent returned is 0.

    Examples
    // Set default precision to 64 bits.
     gmp_lib.mpf_set_default_prec(64U);
     
    diff --git a/docs/html/bb37470f-5f40-4f6d-01d9-4e40446782a3.htm b/docs/html/bb37470f-5f40-4f6d-01d9-4e40446782a3.htm
    index 387872b..f4997cc 100644
    --- a/docs/html/bb37470f-5f40-4f6d-01d9-4e40446782a3.htm
    +++ b/docs/html/bb37470f-5f40-4f6d-01d9-4e40446782a3.htm
    @@ -17,7 +17,7 @@
     )

    Parameters

    op1
    Type: Math.Gmp.Nativempz_t
    The first operand integer.
    op2
    Type: SystemDouble
    The second operand integer.

    Return Value

    Type: Int32
    Return a positive value if op1 > op2, zero if op1 = op2, or a negative value if op1 < op2.
    Remarks

    mpz_cmp_d(mpz_t, Double) can be called with an infinity (see PositiveInfinity or NegativeInfinity), +

    Parameters

    op1
    Type: Math.Gmp.Nativempz_t
    The first operand integer.
    op2
    Type: SystemDouble
    The second operand integer.

    Return Value

    Type: Int32
    Return a positive value if op1 > op2, zero if op1 = op2, or a negative value if op1 < op2.
    Remarks

    mpz_cmp_d(mpz_t, Double) can be called with an infinity (see PositiveInfinity or NegativeInfinity), but results are undefined for a NaN.

    Examples
    // Create, initialize, and set the value of op1 to 63.
     mpz_t op1 = new mpz_t();
    diff --git a/docs/html/bb46ebe4-c002-8769-19ed-136a86e87134.htm b/docs/html/bb46ebe4-c002-8769-19ed-136a86e87134.htm
    index c6a7cfb..4c2fa10 100644
    --- a/docs/html/bb46ebe4-c002-8769-19ed-136a86e87134.htm
    +++ b/docs/html/bb46ebe4-c002-8769-19ed-136a86e87134.htm
    @@ -25,9 +25,9 @@
             sp : mp_ptr * 
             n : mp_size_t * 
             count : uint32 -> mp_limb_t 
    -

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    sp
    Type: Math.Gmp.Nativemp_ptr
    The operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of sp and rp.
    count
    Type: SystemUInt32

    Return Value

    Type: mp_limb_t
    The bits shifted out at the right are returned in the most significant count bits of the return value (the rest of the return value is zero).
    Remarks

    count must be in the range 1 to mp_bits_per_limb - 1. +

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    sp
    Type: Math.Gmp.Nativemp_ptr
    The operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of sp and rp.
    count
    Type: SystemUInt32

    Return Value

    Type: mp_limb_t
    The bits shifted out at the right are returned in the most significant count bits of the return value (the rest of the return value is zero).
    Remarks

    count must be in the range 1 to mp_bits_per_limb - 1. The regions {sp, n} and {rp, n} - may overlap, provided rpsp. + may overlap, provided rpsp.

    This function is written in assembly for most CPUs.

    Examples
    // Create multi-precision operands, and expected result.
    diff --git a/docs/html/bc33b7de-0deb-669e-0bb7-6cd1090f4aea.htm b/docs/html/bc33b7de-0deb-669e-0bb7-6cd1090f4aea.htm
    index 243c5bc..cfe21b8 100644
    --- a/docs/html/bc33b7de-0deb-669e-0bb7-6cd1090f4aea.htm
    +++ b/docs/html/bc33b7de-0deb-669e-0bb7-6cd1090f4aea.htm
    @@ -17,7 +17,7 @@
     )

    Parameters

    op1
    Type: Math.Gmp.Nativempq_t
    The first operand rational.
    op2
    Type: Math.Gmp.Nativempz_t
    The second operand rational.

    Return Value

    Type: Int32
    Return a positive value if op1 > op2, zero if op1 = op2, and a negative value if op1 < op2.
    Remarks

    +

    Parameters

    op1
    Type: Math.Gmp.Nativempq_t
    The first operand rational.
    op2
    Type: Math.Gmp.Nativempz_t
    The second operand rational.

    Return Value

    Type: Int32
    Return a positive value if op1 > op2, zero if op1 = op2, and a negative value if op1 < op2.
    Remarks

    To determine if two rationals are equal, mpq_equal(mpq_t, mpq_t) is faster than mpq_cmp(mpq_t, mpq_t).

    Examples
    // Create, initialize, and set the value of op1 to 1 / 2.
     mpq_t op1 = new mpq_t();
    diff --git a/docs/html/bd7a38bd-df52-4b0f-36d4-eb539767d89f.htm b/docs/html/bd7a38bd-df52-4b0f-36d4-eb539767d89f.htm
    index c7efc33..4be2fe8 100644
    --- a/docs/html/bd7a38bd-df52-4b0f-36d4-eb539767d89f.htm
    +++ b/docs/html/bd7a38bd-df52-4b0f-36d4-eb539767d89f.htm
    @@ -24,7 +24,7 @@
     

    Parameters

    ptr
    Type: Math.Gmp.Nativeptrchar_ptr
    fmt
    Type: SystemString
    Format string. See Formatted Output Strings.
    ap
    Type: SystemObject
    Arguments.

    Return Value

    Type: Int32
    The return value is the number of characters produced, excluding the null-terminator.
    Remarks

    The block will be the size of the string and null-terminator. The address of the block in stored to ptr.

    - Unlike the C library vasprintf, gmp_vasprintf(ptrchar_ptr, String, Object) doesn’t return -1 if there’s no more memory available, + Unlike the C library vasprintf, gmp_vasprintf(ptrchar_ptr, String, Object) doesn’t return -1 if there’s no more memory available, it lets the current allocation function handle that.

    Examples
    // Create pointer to unmanaged character string pointer.
     ptr<char_ptr> str = new ptr<char_ptr>();
    diff --git a/docs/html/be9e6a25-83fb-49c2-949a-b8642a8234f5.htm b/docs/html/be9e6a25-83fb-49c2-949a-b8642a8234f5.htm
    index 3a08b10..cdb656d 100644
    --- a/docs/html/be9e6a25-83fb-49c2-949a-b8642a8234f5.htm
    +++ b/docs/html/be9e6a25-83fb-49c2-949a-b8642a8234f5.htm
    @@ -17,7 +17,7 @@
     )

    Parameters

    op1
    Type: Math.Gmp.Nativempf_t
    The first operand float.
    op2
    Type: Math.Gmp.Nativempf_t
    The second operand float.

    Return Value

    Type: Int32
    Return a positive value if op1 > op2, zero if op1 = op2, and a negative value if op1 < op2.
    Examples
    // Set default precision to 64 bits.
    +

    Parameters

    op1
    Type: Math.Gmp.Nativempf_t
    The first operand float.
    op2
    Type: Math.Gmp.Nativempf_t
    The second operand float.

    Return Value

    Type: Int32
    Return a positive value if op1 > op2, zero if op1 = op2, and a negative value if op1 < op2.
    Examples
    // Set default precision to 64 bits.
     gmp_lib.mpf_set_default_prec(64U);
     
     // Create, initialize, and set a new floating-point number x to 512.
    diff --git a/docs/html/beb982a6-fa8e-6a0f-409a-bce1fddb6002.htm b/docs/html/beb982a6-fa8e-6a0f-409a-bce1fddb6002.htm
    index b7c697b..d33fe66 100644
    --- a/docs/html/beb982a6-fa8e-6a0f-409a-bce1fddb6002.htm
    +++ b/docs/html/beb982a6-fa8e-6a0f-409a-bce1fddb6002.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_tdiv_r Method 
    Click or drag to resize
    gmp_libmpz_tdiv_r Method
    - Set the remainder r to n - q * d where q = trunc(n / d). + Set the remainder r to n - q * d where q = trunc(n / d).

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/bfe022c5-95d3-45d7-0c6f-97167a9a0af2.htm b/docs/html/bfe022c5-95d3-45d7-0c6f-97167a9a0af2.htm index e5fa57c..1c37623 100644 --- a/docs/html/bfe022c5-95d3-45d7-0c6f-97167a9a0af2.htm +++ b/docs/html/bfe022c5-95d3-45d7-0c6f-97167a9a0af2.htm @@ -17,7 +17,7 @@ )

    Parameters

    op1
    Type: Math.Gmp.Nativempz_t
    The first operand integer.
    op2
    Type: SystemUInt32
    The second operand integer.

    Return Value

    Type: Int32
    Return a positive value if op1 > op2, zero if op1 = op2, or a negative value if op1 < op2.
    Examples
    // Create, initialize, and set the value of op1 to 63.
    +

    Parameters

    op1
    Type: Math.Gmp.Nativempz_t
    The first operand integer.
    op2
    Type: SystemUInt32
    The second operand integer.

    Return Value

    Type: Int32
    Return a positive value if op1 > op2, zero if op1 = op2, or a negative value if op1 < op2.
    Examples
    // Create, initialize, and set the value of op1 to 63.
     mpz_t op1 = new mpz_t();
     gmp_lib.mpz_init_set_ui(op1, 63U);
     
    diff --git a/docs/html/bfe1e9b5-6fc1-95f2-d5b6-137fe87c071a.htm b/docs/html/bfe1e9b5-6fc1-95f2-d5b6-137fe87c071a.htm
    index de5ae04..96977ec 100644
    --- a/docs/html/bfe1e9b5-6fc1-95f2-d5b6-137fe87c071a.htm
    +++ b/docs/html/bfe1e9b5-6fc1-95f2-d5b6-137fe87c071a.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpn_sec_sqr Method 
    Click or drag to resize
    gmp_libmpn_sec_sqr Method
    - Set R to A^2, where A = {ap, an}, and R = {rp, 2 * an}. + Set R to A^2, where A = {ap, an}, and R = {rp, 2 * an}.

    Namespace:  Math.Gmp.Native
    @@ -26,11 +26,11 @@ an : mp_size_t * tp : mp_ptr -> unit

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result operand.
    ap
    Type: Math.Gmp.Nativemp_ptr
    The operand integer.
    an
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of ap.
    tp
    Type: Math.Gmp.Nativemp_ptr
    The scratch operand integer.
    Remarks

    - It is required that an > 0. + It is required that an > 0.

    - No overlapping between R and the input operands is allowed. + No overlapping between R and the input operands is allowed.

    - This function requires scratch space of mpn_sec_sqr_itch(mp_size_t)(an) + This function requires scratch space of mpn_sec_sqr_itch(mp_size_t)(an) limbs to be passed in the tp parameter. The scratch space requirements are guaranteed to increase monotonously in the operand size.

    Examples
    // Create multi-precision operands, and expected result.
    diff --git a/docs/html/c0f8ab02-55db-8a6b-705d-6fa700d54545.htm b/docs/html/c0f8ab02-55db-8a6b-705d-6fa700d54545.htm
    index 2cab5a6..f4f06e1 100644
    --- a/docs/html/c0f8ab02-55db-8a6b-705d-6fa700d54545.htm
    +++ b/docs/html/c0f8ab02-55db-8a6b-705d-6fa700d54545.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_fib2_ui Method 
    Click or drag to resize
    gmp_libmpz_fib2_ui Method
    - Sets fn to F[n], and fnsub1 to F[n - 1]. + Sets fn to F[n], and fnsub1 to F[n - 1].

    Namespace:  Math.Gmp.Native
    @@ -21,10 +21,10 @@ fn : mpz_t * fnsub1 : mpz_t * n : uint32 -> unit -

    Parameters

    fn
    Type: Math.Gmp.Nativempz_t
    The F[n] result.
    fnsub1
    Type: Math.Gmp.Nativempz_t
    The F[n - 1] result.
    n
    Type: SystemUInt32
    The operand integer.
    Remarks

    +

    Parameters

    fn
    Type: Math.Gmp.Nativempz_t
    The F[n] result.
    fnsub1
    Type: Math.Gmp.Nativempz_t
    The F[n - 1] result.
    n
    Type: SystemUInt32
    The operand integer.
    Remarks

    This function is designed for calculating isolated Fibonacci numbers. When a sequence of values is wanted it’s best to start with mpz_fib2_ui(mpz_t, mpz_t, UInt32) - and iterate the defining F[n + 1] = F[n] + F[n - 1] or similar. + and iterate the defining F[n + 1] = F[n] + F[n - 1] or similar.

    The Fibonacci numbers and Lucas numbers are related sequences, so it’s never necessary to call both mpz_fib2_ui(mpz_t, mpz_t, UInt32) and mpz_lucnum2_ui(mpz_t, mpz_t, UInt32). diff --git a/docs/html/c19999f1-01ee-a3fe-dc4d-2a459e73492d.htm b/docs/html/c19999f1-01ee-a3fe-dc4d-2a459e73492d.htm index 9fad96c..f1b834b 100644 --- a/docs/html/c19999f1-01ee-a3fe-dc4d-2a459e73492d.htm +++ b/docs/html/c19999f1-01ee-a3fe-dc4d-2a459e73492d.htm @@ -1,5 +1,5 @@ gmp_lib.mpf_add Method

    Click or drag to resize
    gmp_libmpf_add Method
    - Set rop to op1 + op2. + Set rop to op1 + op2.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/c40ea3de-d1be-146b-fe7a-deff566ca817.htm b/docs/html/c40ea3de-d1be-146b-fe7a-deff566ca817.htm index 9ee44a8..9cd9f2f 100644 --- a/docs/html/c40ea3de-d1be-146b-fe7a-deff566ca817.htm +++ b/docs/html/c40ea3de-d1be-146b-fe7a-deff566ca817.htm @@ -1,5 +1,5 @@ gmp_lib.mpn_divexact_by3c Method
    Click or drag to resize
    gmp_libmpn_divexact_by3c Method
    - Divide {sp, n} by 3, expecting it to divide exactly, and writing the result to {rp, n}. + Divide {sp, n} by 3, expecting it to divide exactly, and writing the result to {rp, n}.

    Namespace:  Math.Gmp.Native
    @@ -25,19 +25,19 @@ sp : mp_ptr * n : mp_size_t * carry : mp_limb_t -> mp_limb_t -

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    sp
    Type: Math.Gmp.Nativemp_ptr
    The operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs in sp.
    carry
    Type: Math.Gmp.Nativemp_limb_t
    The initial carry.

    Return Value

    Type: mp_limb_t
    If 3 divides exactly, the return value is zero and the result is the quotient. If not, the return value is non-zero and the result won’t be anything useful.
    Remarks

    mpn_divexact_by3c(mp_ptr, mp_ptr, mp_size_t, mp_limb_t) takes an initial carry parameter, which can be the return value from a previous call, +

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    sp
    Type: Math.Gmp.Nativemp_ptr
    The operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs in sp.
    carry
    Type: Math.Gmp.Nativemp_limb_t
    The initial carry.

    Return Value

    Type: mp_limb_t
    If 3 divides exactly, the return value is zero and the result is the quotient. If not, the return value is non-zero and the result won’t be anything useful.
    Remarks

    mpn_divexact_by3c(mp_ptr, mp_ptr, mp_size_t, mp_limb_t) takes an initial carry parameter, which can be the return value from a previous call, so a large calculation can be done piece by piece from low to high. - mpn_divexact_by3(mp_ptr, mp_ptr, mp_size_t) is simply a macro calling mpn_divexact_by3c(mp_ptr, mp_ptr, mp_size_t, mp_limb_t) with a 0 carry parameter. + mpn_divexact_by3(mp_ptr, mp_ptr, mp_size_t) is simply a macro calling mpn_divexact_by3c(mp_ptr, mp_ptr, mp_size_t, mp_limb_t) with a 0 carry parameter.

    These routines use a multiply-by-inverse and will be faster than mpn_divrem_1(mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_limb_t) on CPUs with fast multiplication but slow division.

    - The source a, result q, size n, initial carry i, and return value c satisfy - c * b^n + a - i = 3 * q, where b = 2^mp_bits_per_limb. - The return c is always 0, 1 or 2, and the initial carry i must also be 0, - 1 or 2 (these are both borrows really). When c = 0 clearly q = (a - i) / 3. - When c != 0, the remainder (a - i) mod 3 is given by 3 - c, because - b ≡ 1 mod 3 (when mp_bits_per_limb is even, which is always so currently). + The source a, result q, size n, initial carry i, and return value c satisfy + c * b^n + a - i = 3 * q, where b = 2^mp_bits_per_limb. + The return c is always 0, 1 or 2, and the initial carry i must also be 0, + 1 or 2 (these are both borrows really). When c = 0 clearly q = (a - i) / 3. + When c != 0, the remainder (a - i) mod 3 is given by 3 - c, because + b ≡ 1 mod 3 (when mp_bits_per_limb is even, which is always so currently).

    Examples
    // Create multi-precision operands, and expected result.
     mp_ptr sp = new mp_ptr(new uint[] { 0xffffffff, 0x0000ffff });
     mp_ptr rp = new mp_ptr(new uint[2]);
    diff --git a/docs/html/c5a0fa06-536c-6c6f-20c7-fb014ebc6444.htm b/docs/html/c5a0fa06-536c-6c6f-20c7-fb014ebc6444.htm
    index 4914197..0735970 100644
    --- a/docs/html/c5a0fa06-536c-6c6f-20c7-fb014ebc6444.htm
    +++ b/docs/html/c5a0fa06-536c-6c6f-20c7-fb014ebc6444.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_submul_ui Method 
    Click or drag to resize
    gmp_libmpz_submul_ui Method
    - Set rop to rop - op1 * op2. + Set rop to rop - op1 * op2.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/c5fc473c-b8dc-8053-4199-e80d58a05230.htm b/docs/html/c5fc473c-b8dc-8053-4199-e80d58a05230.htm index a71204e..e573d0c 100644 --- a/docs/html/c5fc473c-b8dc-8053-4199-e80d58a05230.htm +++ b/docs/html/c5fc473c-b8dc-8053-4199-e80d58a05230.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_urandomb Method
    Click or drag to resize
    gmp_libmpz_urandomb Method
    - Generate a uniformly distributed random integer in the range 0 to 2^n - 1, inclusive. + Generate a uniformly distributed random integer in the range 0 to 2^n - 1, inclusive.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/c8216c67-1e74-82d0-6ca0-f24d07045ca8.htm b/docs/html/c8216c67-1e74-82d0-6ca0-f24d07045ca8.htm index 168cb16..b1c8664 100644 --- a/docs/html/c8216c67-1e74-82d0-6ca0-f24d07045ca8.htm +++ b/docs/html/c8216c67-1e74-82d0-6ca0-f24d07045ca8.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_tdiv_r_2exp Method
    Click or drag to resize
    gmp_libmpz_tdiv_r_2exp Method
    - Set the remainder r to n - q * 2^b where q = trunc(n / 2^b). + Set the remainder r to n - q * 2^b where q = trunc(n / 2^b).

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/c9cb6a67-59b8-5c03-f31d-f252441c53f6.htm b/docs/html/c9cb6a67-59b8-5c03-f31d-f252441c53f6.htm index 05788bf..59576ba 100644 --- a/docs/html/c9cb6a67-59b8-5c03-f31d-f252441c53f6.htm +++ b/docs/html/c9cb6a67-59b8-5c03-f31d-f252441c53f6.htm @@ -18,7 +18,7 @@ integer : mpz_t * new_alloc : mp_size_t -> unit

    Parameters

    integer
    Type: Math.Gmp.Nativempz_t
    The integer to resize.
    new_alloc
    Type: Math.Gmp.Nativemp_size_t
    The new number of limbs.
    Remarks

    - The value in integer is preserved if it fits, or is set to 0 if not. + The value in integer is preserved if it fits, or is set to 0 if not.

    mpz_realloc2(mpz_t, mp_bitcnt_t) is the preferred way to accomplish allocation changes like this. mpz_realloc2(mpz_t, mp_bitcnt_t) and _mpz_realloc(mpz_t, mp_size_t) are the same except that _mpz_realloc(mpz_t, mp_size_t) takes its size in limbs. diff --git a/docs/html/c9d371c8-8c16-77a3-2c47-8edae05276c5.htm b/docs/html/c9d371c8-8c16-77a3-2c47-8edae05276c5.htm index ddb324a..2b71442 100644 --- a/docs/html/c9d371c8-8c16-77a3-2c47-8edae05276c5.htm +++ b/docs/html/c9d371c8-8c16-77a3-2c47-8edae05276c5.htm @@ -37,14 +37,14 @@ endian : int * nails : size_t * op : mpz_t -> void_ptr -

    Parameters

    rop
    Type: Math.Gmp.Nativevoid_ptr
    The result integer.
    countp
    Type: Math.Gmp.Nativesize_t
    The number of words produced.
    order
    Type: SystemInt32
    1 for most significant word first or -1 for least significant first.
    size
    Type: Math.Gmp.Nativesize_t
    The number of bytes in each word.
    endian
    Type: SystemInt32
    1 for most significant byte first, -1 for least significant first, or 0 for the native endianness of the host CPU.
    nails
    Type: Math.Gmp.Nativesize_t
    The number of most significant bits to skip.
    op
    Type: Math.Gmp.Nativempz_t
    The operand integer.

    Return Value

    Type: void_ptr
    Either rop or the allocated block.
    Remarks

    +

    Parameters

    rop
    Type: Math.Gmp.Nativevoid_ptr
    The result integer.
    countp
    Type: Math.Gmp.Nativesize_t
    The number of words produced.
    order
    Type: SystemInt32
    1 for most significant word first or -1 for least significant first.
    size
    Type: Math.Gmp.Nativesize_t
    The number of bytes in each word.
    endian
    Type: SystemInt32
    1 for most significant byte first, -1 for least significant first, or 0 for the native endianness of the host CPU.
    nails
    Type: Math.Gmp.Nativesize_t
    The number of most significant bits to skip.
    op
    Type: Math.Gmp.Nativempz_t
    The operand integer.

    Return Value

    Type: void_ptr
    Either rop or the allocated block.
    Remarks

    The parameters specify the format of the data produced. - Each word will be size bytes and order can be 1 for most significant word first - or -1 for least significant first. - Within each word endian can be 1 for most significant byte first, - -1 for least significant first, or 0 for the native endianness of the host CPU. + Each word will be size bytes and order can be 1 for most significant word first + or -1 for least significant first. + Within each word endian can be 1 for most significant byte first, + -1 for least significant first, or 0 for the native endianness of the host CPU. The most significant nails bits of each word are unused and set to zero, - this can be 0 to produce full words. + this can be 0 to produce full words.

    The number of words produced is written to countp, or countp can be NULL to discard the count. rop must have enough space for the data, or if rop is NULL then a result array of the necessary @@ -63,8 +63,8 @@ There are no data alignment restrictions on rop, any address is allowed.

    When an application is allocating space itself the required size can be determined with a calculation like the following. - Since mpz_sizeinbase(mpz_t, Int32) always returns at least 1, count here will be at least one, which avoids any portability - problems with malloc(0), though if z is zero no space at all is actually needed (or written). + Since mpz_sizeinbase(mpz_t, Int32) always returns at least 1, count here will be at least one, which avoids any portability + problems with malloc(0), though if z is zero no space at all is actually needed (or written).

    C++
    numb = 8 * size - nail;
     count = (mpz_sizeinbase(z, 2) + numb - 1) / numb;
     p = malloc(count * size);
    Examples
    // Create, initialize, and set the value of op to 0x800000000000000000000001.
    diff --git a/docs/html/ca339303-b509-db06-c875-3aac3edec5dd.htm b/docs/html/ca339303-b509-db06-c875-3aac3edec5dd.htm
    index e79eeb4..4028a80 100644
    --- a/docs/html/ca339303-b509-db06-c875-3aac3edec5dd.htm
    +++ b/docs/html/ca339303-b509-db06-c875-3aac3edec5dd.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpf_sub_ui Method 
    Click or drag to resize
    gmp_libmpf_sub_ui Method
    - Set rop to op1 - op2. + Set rop to op1 - op2.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/ca6a2024-43ea-fb4e-245e-12e2e01e4ebd.htm b/docs/html/ca6a2024-43ea-fb4e-245e-12e2e01e4ebd.htm index 4610098..236075b 100644 --- a/docs/html/ca6a2024-43ea-fb4e-245e-12e2e01e4ebd.htm +++ b/docs/html/ca6a2024-43ea-fb4e-245e-12e2e01e4ebd.htm @@ -1,5 +1,5 @@ gmp_lib.mpq_add Method
    Click or drag to resize
    gmp_libmpq_add Method
    - Set sum to addend1 + addend2. + Set sum to addend1 + addend2.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/cbbdf666-7c6c-f3f3-1790-b5bb1655af87.htm b/docs/html/cbbdf666-7c6c-f3f3-1790-b5bb1655af87.htm index 8f139ec..df63042 100644 --- a/docs/html/cbbdf666-7c6c-f3f3-1790-b5bb1655af87.htm +++ b/docs/html/cbbdf666-7c6c-f3f3-1790-b5bb1655af87.htm @@ -23,7 +23,7 @@ k : uint32 -> unit

    Parameters

    rop
    Type: Math.Gmp.Nativempz_t
    The result integer.
    n
    Type: Math.Gmp.Nativempz_t
    The first operand integer.
    k
    Type: SystemUInt32
    The second operand integer.
    Remarks

    Negative values of n are supported by mpz_bin_ui(mpz_t, mpz_t, UInt32), using the identity - bin(-n, k) = (-1)^k * bin(n + k - 1, k), + bin(-n, k) = (-1)^k * bin(n + k - 1, k), see Knuth volume 1 section 1.2.6 part G.

    Examples
    // Create, initialize, and set the value of n to 4.
     mpz_t n = new mpz_t();
    diff --git a/docs/html/cc6e8f51-f396-f6c3-c6e4-9a9aeeaf2a13.htm b/docs/html/cc6e8f51-f396-f6c3-c6e4-9a9aeeaf2a13.htm
    index e06f691..9c82da9 100644
    --- a/docs/html/cc6e8f51-f396-f6c3-c6e4-9a9aeeaf2a13.htm
    +++ b/docs/html/cc6e8f51-f396-f6c3-c6e4-9a9aeeaf2a13.htm
    @@ -22,7 +22,7 @@
             max_size : mp_size_t * 
             exp : mp_exp_t -> unit 
     

    Parameters

    rop
    Type: Math.Gmp.Nativempf_t
    The result float.
    max_size
    Type: Math.Gmp.Nativemp_size_t
    The maximum number of limbs.
    exp
    Type: Math.Gmp.Nativemp_exp_t
    The range of the random exponent.
    Remarks

    - The exponent of the number is in the interval -exp to exp (in limbs). + The exponent of the number is in the interval -exp to exp (in limbs). This function is useful for testing functions and algorithms, since these kind of random numbers have proven to be more likely to trigger corner-case bugs. Negative random numbers are generated when max_size is negative. diff --git a/docs/html/ce7d559a-3772-41c0-912f-9ab218f4d98c.htm b/docs/html/ce7d559a-3772-41c0-912f-9ab218f4d98c.htm index df5a706..22a2ceb 100644 --- a/docs/html/ce7d559a-3772-41c0-912f-9ab218f4d98c.htm +++ b/docs/html/ce7d559a-3772-41c0-912f-9ab218f4d98c.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_submul Method

    Click or drag to resize
    gmp_libmpz_submul Method
    - Set rop to rop - op1 * op2. + Set rop to rop - op1 * op2.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/d229629f-3bba-817b-d9a3-6f00271e1da7.htm b/docs/html/d229629f-3bba-817b-d9a3-6f00271e1da7.htm index 9de5b27..ea6331c 100644 --- a/docs/html/d229629f-3bba-817b-d9a3-6f00271e1da7.htm +++ b/docs/html/d229629f-3bba-817b-d9a3-6f00271e1da7.htm @@ -1,5 +1,5 @@ gmp_lib.mpf_sgn Method
    Click or drag to resize
    gmp_libmpf_sgn Method
    - Return +1 if op > 0, 0 if op = 0, and -1 if op < 0. + Return +1 if op > 0, 0 if op = 0, and -1 if op < 0.

    Namespace:  Math.Gmp.Native
    @@ -13,7 +13,7 @@ mpf_t^ op )

    Parameters

    op
    Type: Math.Gmp.Nativempf_t
    The operand float.

    Return Value

    Type: Int32
    Return +1 if op > 0, 0 if op = 0, and -1 if op < 0.
    Examples
    // Create, initialize, and set the value of op to -10.
    +

    Parameters

    op
    Type: Math.Gmp.Nativempf_t
    The operand float.

    Return Value

    Type: Int32
    Return +1 if op > 0, 0 if op = 0, and -1 if op < 0.
    Examples
    // Create, initialize, and set the value of op to -10.
     mpf_t op = new mpf_t();
     gmp_lib.mpf_init_set_si(op, -10);
     
    diff --git a/docs/html/d479f2da-ecf9-c9d6-5cc7-66eb8b5ba16b.htm b/docs/html/d479f2da-ecf9-c9d6-5cc7-66eb8b5ba16b.htm
    index 4697746..022605a 100644
    --- a/docs/html/d479f2da-ecf9-c9d6-5cc7-66eb8b5ba16b.htm
    +++ b/docs/html/d479f2da-ecf9-c9d6-5cc7-66eb8b5ba16b.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_2fac_ui Method 
    Click or drag to resize
    gmp_libmpz_2fac_ui Method
    - Set rop to the double-factorial n!!. + Set rop to the double-factorial n!!.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/d5af3442-ab5b-08e2-9398-0b6f04506c16.htm b/docs/html/d5af3442-ab5b-08e2-9398-0b6f04506c16.htm index 8ee74d4..112f333 100644 --- a/docs/html/d5af3442-ab5b-08e2-9398-0b6f04506c16.htm +++ b/docs/html/d5af3442-ab5b-08e2-9398-0b6f04506c16.htm @@ -21,7 +21,7 @@ rop : mpz_t * str : char_ptr * base : int -> int -

    Parameters

    rop
    Type: Math.Gmp.Nativempz_t
    The destination integer.
    str
    Type: Math.Gmp.Nativechar_ptr
    The source integer.
    base
    Type: SystemInt32
    The base.

    Return Value

    Type: Int32
    If the string is a correct base base number, the function returns 0; if an error occurs it returns −1. rop is initialized even if an error occurs.
    Remarks

    +

    Parameters

    rop
    Type: Math.Gmp.Nativempz_t
    The destination integer.
    str
    Type: Math.Gmp.Nativechar_ptr
    The source integer.
    base
    Type: SystemInt32
    The base.

    Return Value

    Type: Int32
    If the string is a correct base base number, the function returns 0; if an error occurs it returns −1. rop is initialized even if an error occurs.
    Remarks
    Examples
    // Create, initialize, and set the value of x.
     mpz_t x = new mpz_t();
    diff --git a/docs/html/d5b95352-7b5e-881b-136a-b78fd8e033ff.htm b/docs/html/d5b95352-7b5e-881b-136a-b78fd8e033ff.htm
    index 59f777ac..9dacd02 100644
    --- a/docs/html/d5b95352-7b5e-881b-136a-b78fd8e033ff.htm
    +++ b/docs/html/d5b95352-7b5e-881b-136a-b78fd8e033ff.htm
    @@ -1,5 +1,5 @@
    -gmp_lib.mpz_tdiv_qr_ui Method 
    Click or drag to resize
    gmp_libmpz_tdiv_qr_ui Method
    - Set quotient q to trunc(n / d), set the remainder r to n - q * d, and return |r|. +gmp_lib.mpz_tdiv_qr_ui Method
    Click or drag to resize
    gmp_libmpz_tdiv_qr_ui Method
    + Set quotient q to trunc(n / d), set the remainder r to n - q * d, and return | r |.

    Namespace:  Math.Gmp.Native
    @@ -25,7 +25,7 @@ r : mpz_t * n : mpz_t * d : uint32 -> uint32 -

    Parameters

    q
    Type: Math.Gmp.Nativempz_t
    The result quotient integer.
    r
    Type: Math.Gmp.Nativempz_t
    The result remainder integer.
    n
    Type: Math.Gmp.Nativempz_t
    The numerator integer.
    d
    Type: SystemUInt32
    The denominator integer.

    Return Value

    Type: UInt32
    Return |r|.
    Examples
    // Create, initialize, and set the value of n to 10000.
    +

    Parameters

    q
    Type: Math.Gmp.Nativempz_t
    The result quotient integer.
    r
    Type: Math.Gmp.Nativempz_t
    The result remainder integer.
    n
    Type: Math.Gmp.Nativempz_t
    The numerator integer.
    d
    Type: SystemUInt32
    The denominator integer.

    Return Value

    Type: UInt32
    Return | r |.
    Examples
    // Create, initialize, and set the value of n to 10000.
     mpz_t n = new mpz_t();
     gmp_lib.mpz_init_set_si(n, 10000);
     
    diff --git a/docs/html/d7722641-e3ea-336d-63f3-dc48f786e376.htm b/docs/html/d7722641-e3ea-336d-63f3-dc48f786e376.htm
    index 191b664..f8e1a1c 100644
    --- a/docs/html/d7722641-e3ea-336d-63f3-dc48f786e376.htm
    +++ b/docs/html/d7722641-e3ea-336d-63f3-dc48f786e376.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_perfect_power_p Method 
    Click or drag to resize
    gmp_libmpz_perfect_power_p Method
    - Return non-zero if op is a perfect power, i.e., if there exist integers a and b, with b > 1, such that op = a^b. + Return non-zero if op is a perfect power, i.e., if there exist integers a and b, with b > 1, such that op = a^b.

    Namespace:  Math.Gmp.Native
    @@ -13,8 +13,8 @@ mpz_t^ op )

    Parameters

    op
    Type: Math.Gmp.Nativempz_t
    The operand integer.

    Return Value

    Type: Int32
    Non-zero if op is a perfect power, i.e., if there exist integers a and b, with b > 1, such that op = a^b.
    Remarks

    - Under this definition both 0 and 1 are considered to be perfect powers. Negative values of op are accepted, but of course can only be odd perfect powers. +

    Parameters

    op
    Type: Math.Gmp.Nativempz_t
    The operand integer.

    Return Value

    Type: Int32
    Non-zero if op is a perfect power, i.e., if there exist integers a and b, with b > 1, such that op = a^b.
    Remarks

    + Under this definition both 0 and 1 are considered to be perfect powers. Negative values of op are accepted, but of course can only be odd perfect powers.

    Examples
    // Create, initialize, and set the value of x to 10000.
     mpz_t op = new mpz_t();
     gmp_lib.mpz_init_set_si(op, 10000);
    diff --git a/docs/html/d9715b1a-6092-83e6-d7f3-6cfbb4adb143.htm b/docs/html/d9715b1a-6092-83e6-d7f3-6cfbb4adb143.htm
    index 2196264..e7ee4ba 100644
    --- a/docs/html/d9715b1a-6092-83e6-d7f3-6cfbb4adb143.htm
    +++ b/docs/html/d9715b1a-6092-83e6-d7f3-6cfbb4adb143.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_ui_kronecker Method 
    Click or drag to resize
    gmp_libmpz_ui_kronecker Method
    - Calculate the Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even. + Calculate the Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even.

    Namespace:  Math.Gmp.Native
    @@ -17,7 +17,7 @@ )

    Parameters

    a
    Type: SystemUInt32
    The first operand integer.
    b
    Type: Math.Gmp.Nativempz_t
    The second operand integer.

    Return Value

    Type: Int32
    The Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even.
    Remarks

    +

    Parameters

    a
    Type: SystemUInt32
    The first operand integer.
    b
    Type: Math.Gmp.Nativempz_t
    The second operand integer.

    Return Value

    Type: Int32
    The Jacobi symbol (a/b) with the Kronecker extension (a/2) = (2/a) when a odd, or (a/2) = 0 when a even.
    Remarks

    When b is odd the Jacobi symbol and Kronecker symbol are identical, so mpz_kronecker_ui(mpz_t, UInt32), etc. can be used for mixed precision Jacobi symbols too.

    Examples
    // Create, initialize, and set the value of b to 4.
    diff --git a/docs/html/d9ab5220-69aa-8e5d-8d15-375eb27149ad.htm b/docs/html/d9ab5220-69aa-8e5d-8d15-375eb27149ad.htm
    index b0bd0b3..9c22edd 100644
    --- a/docs/html/d9ab5220-69aa-8e5d-8d15-375eb27149ad.htm
    +++ b/docs/html/d9ab5220-69aa-8e5d-8d15-375eb27149ad.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_fdiv_qr Method 
    Click or drag to resize
    gmp_libmpz_fdiv_qr Method
    - Set the quotient q to floor(n / d), and set the remainder r to n - q * d. + Set the quotient q to floor(n / d), and set the remainder r to n - q * d.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/d9d29633-42c7-fb1c-cdee-3b7993f45653.htm b/docs/html/d9d29633-42c7-fb1c-cdee-3b7993f45653.htm index 7cb92d5..0e3884e 100644 --- a/docs/html/d9d29633-42c7-fb1c-cdee-3b7993f45653.htm +++ b/docs/html/d9d29633-42c7-fb1c-cdee-3b7993f45653.htm @@ -17,7 +17,7 @@ )

    Parameters

    op1
    Type: Math.Gmp.Nativempf_t
    The first operand float.
    op2
    Type: SystemInt32
    The second operand float.

    Return Value

    Type: Int32
    Return a positive value if op1 > op2, zero if op1 = op2, and a negative value if op1 < op2.
    Examples
    // Set default precision to 64 bits.
    +

    Parameters

    op1
    Type: Math.Gmp.Nativempf_t
    The first operand float.
    op2
    Type: SystemInt32
    The second operand float.

    Return Value

    Type: Int32
    Return a positive value if op1 > op2, zero if op1 = op2, and a negative value if op1 < op2.
    Examples
    // Set default precision to 64 bits.
     gmp_lib.mpf_set_default_prec(64U);
     
     // Create, initialize, and set a new floating-point number x to 512.
    diff --git a/docs/html/dbf3d252-fd6d-455f-2ba7-4091845b86a7.htm b/docs/html/dbf3d252-fd6d-455f-2ba7-4091845b86a7.htm
    index 47335c9..d4a7a5a 100644
    --- a/docs/html/dbf3d252-fd6d-455f-2ba7-4091845b86a7.htm
    +++ b/docs/html/dbf3d252-fd6d-455f-2ba7-4091845b86a7.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpq_init Method 
    Click or drag to resize
    gmp_libmpq_init Method
    - Initialize x and set it to 0/1. + Initialize x and set it to 0/1.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/dc2f13ec-ac21-1196-0a1d-c574578b1f24.htm b/docs/html/dc2f13ec-ac21-1196-0a1d-c574578b1f24.htm index 076cbad..201d690 100644 --- a/docs/html/dc2f13ec-ac21-1196-0a1d-c574578b1f24.htm +++ b/docs/html/dc2f13ec-ac21-1196-0a1d-c574578b1f24.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_init Method
    Click or drag to resize
    gmp_libmpz_init Method
    - Initialize x, and set its value to 0. + Initialize x, and set its value to 0.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/de0b7cf7-1826-55f3-379d-41a6ef2d0991.htm b/docs/html/de0b7cf7-1826-55f3-379d-41a6ef2d0991.htm index 6f746c3..fd553d0 100644 --- a/docs/html/de0b7cf7-1826-55f3-379d-41a6ef2d0991.htm +++ b/docs/html/de0b7cf7-1826-55f3-379d-41a6ef2d0991.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_inits Method
    Click or drag to resize
    gmp_libmpz_inits Method
    - Initialize a NULL-terminated list of mpz_t variables, and set their values to 0. + Initialize a NULL-terminated list of mpz_t variables, and set their values to 0.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/e1c059c4-4cd9-9a2b-1178-4b1a60354129.htm b/docs/html/e1c059c4-4cd9-9a2b-1178-4b1a60354129.htm index 74167e5..ca798b5 100644 --- a/docs/html/e1c059c4-4cd9-9a2b-1178-4b1a60354129.htm +++ b/docs/html/e1c059c4-4cd9-9a2b-1178-4b1a60354129.htm @@ -21,9 +21,9 @@ stream : ptr<FILE> * base : int * op : mpq_t -> size_t -

    Parameters

    stream
    Type: Math.Gmp.NativeptrFILE
    Pointer to file stream.
    base
    Type: SystemInt32
    The base.
    op
    Type: Math.Gmp.Nativempq_t
    The operand rational.

    Return Value

    Type: size_t
    Return the number of bytes written, or if an error occurred, return 0.
    Remarks

    - The base may vary from 2 to 36. - Output is in the form "num/den" or if the denominator is 1 then just "num". +

    Parameters

    stream
    Type: Math.Gmp.NativeptrFILE
    Pointer to file stream.
    base
    Type: SystemInt32
    The base.
    op
    Type: Math.Gmp.Nativempq_t
    The operand rational.

    Return Value

    Type: size_t
    Return the number of bytes written, or if an error occurred, return 0.
    Remarks

    + The base may vary from 2 to 36. + Output is in the form "num/den" or if the denominator is 1 then just "num".

    Examples
    // Create, initialize, and set the value of op to 123/456.
     mpq_t op = new mpq_t();
     gmp_lib.mpq_init(op);
    diff --git a/docs/html/e1edc21e-74a0-b44c-216b-bad204b5a48a.htm b/docs/html/e1edc21e-74a0-b44c-216b-bad204b5a48a.htm
    index 5ad0f1f..3c61987 100644
    --- a/docs/html/e1edc21e-74a0-b44c-216b-bad204b5a48a.htm
    +++ b/docs/html/e1edc21e-74a0-b44c-216b-bad204b5a48a.htm
    @@ -17,7 +17,7 @@
     )

    Parameters

    exp
    Type: Math.Gmp.NativeptrInt32
    Pointer to 32-bit signed integer.
    op
    Type: Math.Gmp.Nativempf_t
    The operand float.

    Return Value

    Type: Double
    The return value is in the range 0.5 ≤ |d| < 1 and the exponent is stored at exp. d * 2^exp is the (truncated) op value. If op is zero, the return is 0.0 and 0 is stored at exp.
    Remarks

    +

    Parameters

    exp
    Type: Math.Gmp.NativeptrInt32
    Pointer to 32-bit signed integer.
    op
    Type: Math.Gmp.Nativempf_t
    The operand float.

    Return Value

    Type: Double
    The return value is in the range 0.5 ≤ | d | < 1 and the exponent is stored at exp. d * 2^exp is the (truncated) op value. If op is zero, the return is 0.0 and 0 is stored at exp.
    Remarks

    This is similar to the standard C frexp function (see GNU C - Normalization Functions in The GNU C Library Reference Manual).

    Examples
    // Set default precision to 64 bits.
    diff --git a/docs/html/e3072efb-05a9-947c-5532-6d806c157e4a.htm b/docs/html/e3072efb-05a9-947c-5532-6d806c157e4a.htm
    index ae20089..f676d97 100644
    --- a/docs/html/e3072efb-05a9-947c-5532-6d806c157e4a.htm
    +++ b/docs/html/e3072efb-05a9-947c-5532-6d806c157e4a.htm
    @@ -23,8 +23,8 @@
             op2 : mpz_t -> int 
     

    Parameters

    rop
    Type: Math.Gmp.Nativempz_t
    The result integer.
    op1
    Type: Math.Gmp.Nativempz_t
    The first operand integer.
    op2
    Type: Math.Gmp.Nativempz_t
    The second operand integer.

    Return Value

    Type: Int32
    If the inverse exists, the return value is non-zero. If an inverse doesn’t exist the return value is zero.
    Remarks

    If the inverse exists, the return value is non-zero and rop will satisfy - 0 ≤ rop < |op2| (with rop = 0 - possible only when |op2| = 1, i.e., in the somewhat degenerate zero ring). + 0 ≤ rop < | op2 | (with rop = 0 + possible only when | op2 | = 1, i.e., in the somewhat degenerate zero ring). If an inverse doesn’t exist the return value is zero and rop is undefined. The behaviour of this function is undefined when op2 is zero.

    Examples
    // Create, initialize, and set the value of op1 to 3.
    diff --git a/docs/html/e3abec5c-9d83-babc-a020-ca4817962a21.htm b/docs/html/e3abec5c-9d83-babc-a020-ca4817962a21.htm
    index e3bb45e..601a6f1 100644
    --- a/docs/html/e3abec5c-9d83-babc-a020-ca4817962a21.htm
    +++ b/docs/html/e3abec5c-9d83-babc-a020-ca4817962a21.htm
    @@ -21,7 +21,7 @@
             fp : ptr<FILE> * 
             fmt : string * 
             args : Object[] -> int 
    -

    Parameters

    fp
    Type: Math.Gmp.NativeptrFILE
    File stream.
    fmt
    Type: SystemString
    Format string. See Formatted Output Strings.
    args
    Type: SystemObject
    Arguments.

    Return Value

    Type: Int32
    Return the number of characters written, or -1 if an error occurred.
    Examples
    // Create unique file pathname and a file pointer.
    +

    Parameters

    fp
    Type: Math.Gmp.NativeptrFILE
    File stream.
    fmt
    Type: SystemString
    Format string. See Formatted Output Strings.
    args
    Type: SystemObject
    Arguments.

    Return Value

    Type: Int32
    Return the number of characters written, or -1 if an error occurred.
    Examples
    // Create unique file pathname and a file pointer.
     string pathname = System.IO.Path.GetTempFileName();
     ptr<FILE> stream = new ptr<FILE>();
     
    diff --git a/docs/html/e3e3f2ce-f3d8-5321-37a5-de65b6c2a30d.htm b/docs/html/e3e3f2ce-f3d8-5321-37a5-de65b6c2a30d.htm
    index b4f1e35..03cfd6f 100644
    --- a/docs/html/e3e3f2ce-f3d8-5321-37a5-de65b6c2a30d.htm
    +++ b/docs/html/e3e3f2ce-f3d8-5321-37a5-de65b6c2a30d.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_sub_ui Method 
    Click or drag to resize
    gmp_libmpz_sub_ui Method
    - Set rop to op1 - op2. + Set rop to op1 - op2.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/e7d65cf6-2ee4-c983-62b5-4ad66f1d8599.htm b/docs/html/e7d65cf6-2ee4-c983-62b5-4ad66f1d8599.htm index a9de837..511751e 100644 --- a/docs/html/e7d65cf6-2ee4-c983-62b5-4ad66f1d8599.htm +++ b/docs/html/e7d65cf6-2ee4-c983-62b5-4ad66f1d8599.htm @@ -1,5 +1,5 @@ gmp_lib.mpq_sub Method
    Click or drag to resize
    gmp_libmpq_sub Method
    - Set difference to minuend - subtrahend. + Set difference to minuend - subtrahend.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/e802af92-73bf-b138-dc95-a3c57eeefb66.htm b/docs/html/e802af92-73bf-b138-dc95-a3c57eeefb66.htm index db6ff42..3e4df9c 100644 --- a/docs/html/e802af92-73bf-b138-dc95-a3c57eeefb66.htm +++ b/docs/html/e802af92-73bf-b138-dc95-a3c57eeefb66.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_sqrtrem Method
    Click or drag to resize
    gmp_libmpz_sqrtrem Method
    - Set rop1 to the truncated integer part of the square root of op, like mpz_sqrt(mpz_t, mpz_t). Set rop2 to the remainder op - rop1 * rop1, which will be zero if op is a perfect square. + Set rop1 to the truncated integer part of the square root of op, like mpz_sqrt(mpz_t, mpz_t). Set rop2 to the remainder op - rop1 * rop1, which will be zero if op is a perfect square.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/e8f34851-d0b2-335e-1ea5-f9129062aabf.htm b/docs/html/e8f34851-d0b2-335e-1ea5-f9129062aabf.htm index 92058ff..4af0108 100644 --- a/docs/html/e8f34851-d0b2-335e-1ea5-f9129062aabf.htm +++ b/docs/html/e8f34851-d0b2-335e-1ea5-f9129062aabf.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_cdiv_r Method
    Click or drag to resize
    gmp_libmpz_cdiv_r Method
    - Set the remainder r to n - q * d where q = ceiling(n / d). + Set the remainder r to n - q * d where q = ceiling(n / d).

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/e98ec3cf-b539-8024-c401-ecd24bd43662.htm b/docs/html/e98ec3cf-b539-8024-c401-ecd24bd43662.htm index 8cd1a04..b61837a 100644 --- a/docs/html/e98ec3cf-b539-8024-c401-ecd24bd43662.htm +++ b/docs/html/e98ec3cf-b539-8024-c401-ecd24bd43662.htm @@ -21,8 +21,8 @@ rop : mpq_t * str : char_ptr * base : int -> int -

    Parameters

    rop
    Type: Math.Gmp.Nativempq_t
    The result rational.
    str
    Type: Math.Gmp.Nativechar_ptr
    The source string.
    base
    Type: SystemInt32
    The base,

    Return Value

    Type: Int32
    The return value is 0 if the entire string is a valid number, or -1 if not.
    Remarks

    - The string can be an integer like "41" or a fraction like "41/152". +

    Parameters

    rop
    Type: Math.Gmp.Nativempq_t
    The result rational.
    str
    Type: Math.Gmp.Nativechar_ptr
    The source string.
    base
    Type: SystemInt32
    The base,

    Return Value

    Type: Int32
    The return value is 0 if the entire string is a valid number, or -1 if not.
    Remarks

    + The string can be an integer like "41" or a fraction like "41/152". The fraction must be in canonical form (see GNU MP - Rational Number Functions), or if not then mpq_canonicalize(mpq_t) must be called. @@ -30,10 +30,10 @@ The numerator and optional denominator are parsed the same as in mpz_set_str(mpz_t, char_ptr, Int32) (see GNU MP - Assigning Integers). White space is allowed in the string, and is simply ignored. - The base can vary from 2 to 62, or if base is 0 then the leading characters are used: - 0x or 0X for hex, 0b or 0B for binary, 0 for octal, or decimal otherwise. - Note that this is done separately for the numerator and denominator, so for instance 0xEF/100 is 239/100, - whereas 0xEF/0x100 is 239/256. + The base can vary from 2 to 62, or if base is 0 then the leading characters are used: + 0x or 0X for hex, 0b or 0B for binary, 0 for octal, or decimal otherwise. + Note that this is done separately for the numerator and denominator, so for instance 0xEF/100 is 239/100, + whereas 0xEF/0x100 is 239/256.

    Examples
    // Create and initialize a new rational x.
     mpq_t x = new mpq_t();
     gmp_lib.mpq_init(x);
    diff --git a/docs/html/ee31871c-38bd-fccc-77f5-e76909dd7a79.htm b/docs/html/ee31871c-38bd-fccc-77f5-e76909dd7a79.htm
    index 2b3601b..db8f600 100644
    --- a/docs/html/ee31871c-38bd-fccc-77f5-e76909dd7a79.htm
    +++ b/docs/html/ee31871c-38bd-fccc-77f5-e76909dd7a79.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpn_sqrtrem Method 
    Click or drag to resize
    gmp_libmpn_sqrtrem Method
    - Compute the square root of {sp, n} and put the result at {r1p, ceil(n / 2)} and the remainder at {r2p, retval}. + Compute the square root of {sp, n} and put the result at {r1p, ceil(n / 2)} and the remainder at {r2p, retval}.

    Namespace:  Math.Gmp.Native
    @@ -29,7 +29,7 @@ but the return value indicates how many are produced.

    The most significant limb of {sp, n} must be non-zero. - The areas {r1p, ceil(n / 2)} and + The areas {r1p, ceil(n / 2)} and {sp, n} must be completely separate. The areas {r2p, n} and {sp, n} must be either identical or completely separate. diff --git a/docs/html/ee321a9a-852a-993e-f602-72ff2af02ff6.htm b/docs/html/ee321a9a-852a-993e-f602-72ff2af02ff6.htm index 17d026c..481cb98 100644 --- a/docs/html/ee321a9a-852a-993e-f602-72ff2af02ff6.htm +++ b/docs/html/ee321a9a-852a-993e-f602-72ff2af02ff6.htm @@ -1,5 +1,5 @@ gmp_lib.mpn_mul_n Method

    Click or drag to resize
    gmp_libmpn_mul_n Method
    - Multiply {s1p, n} and {s2p, n}, and write the (2 * n)-limb result to rp. + Multiply {s1p, n} and {s2p, n}, and write the (2 * n)-limb result to rp.

    Namespace:  Math.Gmp.Native
    @@ -26,7 +26,7 @@ s2p : mp_ptr * n : mp_size_t -> unit

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    s1p
    Type: Math.Gmp.Nativemp_ptr
    The first operand integer.
    s2p
    Type: Math.Gmp.Nativemp_ptr
    The second operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of s1p and s2p.
    Remarks

    - The destination has to have space for 2 * n limbs, even if the product’s + The destination has to have space for 2 * n limbs, even if the product’s most significant limb is zero. No overlap is permitted between the destination and either source.

    If the two input operands are the same, use mpn_sqr(mp_ptr, mp_ptr, mp_size_t). diff --git a/docs/html/eea23315-8275-7472-44b0-94b9a05a6657.htm b/docs/html/eea23315-8275-7472-44b0-94b9a05a6657.htm index 9ed3fd2..4b6bd7f 100644 --- a/docs/html/eea23315-8275-7472-44b0-94b9a05a6657.htm +++ b/docs/html/eea23315-8275-7472-44b0-94b9a05a6657.htm @@ -1,5 +1,5 @@ -gmp_lib.mpz_tdiv_ui Method

    Click or drag to resize
    gmp_libmpz_tdiv_ui Method
    - Return the remainder |r| where r = n - q * d, and where q = trunc(n / d). +gmp_lib.mpz_tdiv_ui Method
    Click or drag to resize
    gmp_libmpz_tdiv_ui Method
    + Return the remainder | r | where r = n - q * d, and where q = trunc(n / d).

    Namespace:  Math.Gmp.Native
    @@ -17,7 +17,7 @@ )

    Parameters

    n
    Type: Math.Gmp.Nativempz_t
    The numerator integer.
    d
    Type: SystemUInt32
    The denominator integer.

    Return Value

    Type: UInt32
    The remainder |r| where r = n - q * d, and where q = trunc(n / d).
    Examples
    // Create, initialize, and set the value of n to 10000.
    +

    Parameters

    n
    Type: Math.Gmp.Nativempz_t
    The numerator integer.
    d
    Type: SystemUInt32
    The denominator integer.

    Return Value

    Type: UInt32
    The remainder | r | where r = n - q * d, and where q = trunc(n / d).
    Examples
    // Create, initialize, and set the value of n to 10000.
     mpz_t n = new mpz_t();
     gmp_lib.mpz_init_set_si(n, 10000);
     
    diff --git a/docs/html/eea958f4-5951-38f2-05ba-3870cefb3842.htm b/docs/html/eea958f4-5951-38f2-05ba-3870cefb3842.htm
    index 0750ea3..11345f7 100644
    --- a/docs/html/eea958f4-5951-38f2-05ba-3870cefb3842.htm
    +++ b/docs/html/eea958f4-5951-38f2-05ba-3870cefb3842.htm
    @@ -17,7 +17,7 @@
     )

    Parameters

    op1
    Type: Math.Gmp.Nativempz_t
    The first operand integer.
    op2
    Type: Math.Gmp.Nativempz_t
    The second operand integer.

    Return Value

    Type: Int32
    Return a positive value if op1 > op2, zero if op1 = op2, or a negative value if op1 < op2.
    Examples
    // Create, initialize, and set the value of op1 to 63.
    +

    Parameters

    op1
    Type: Math.Gmp.Nativempz_t
    The first operand integer.
    op2
    Type: Math.Gmp.Nativempz_t
    The second operand integer.

    Return Value

    Type: Int32
    Return a positive value if op1 > op2, zero if op1 = op2, or a negative value if op1 < op2.
    Examples
    // Create, initialize, and set the value of op1 to 63.
     mpz_t op1 = new mpz_t();
     gmp_lib.mpz_init_set_ui(op1, 63U);
     
    diff --git a/docs/html/efbe678f-e1f3-b203-eb36-0db03ba11795.htm b/docs/html/efbe678f-e1f3-b203-eb36-0db03ba11795.htm
    index ccc6c34..64a7728 100644
    --- a/docs/html/efbe678f-e1f3-b203-eb36-0db03ba11795.htm
    +++ b/docs/html/efbe678f-e1f3-b203-eb36-0db03ba11795.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpf_ui_sub Method 
    Click or drag to resize
    gmp_libmpf_ui_sub Method
    - Set rop to op1 - op2. + Set rop to op1 - op2.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/f0bda1a7-4b40-0896-4939-4dc66b256424.htm b/docs/html/f0bda1a7-4b40-0896-4939-4dc66b256424.htm index ebb8fac..16855d3 100644 --- a/docs/html/f0bda1a7-4b40-0896-4939-4dc66b256424.htm +++ b/docs/html/f0bda1a7-4b40-0896-4939-4dc66b256424.htm @@ -17,8 +17,8 @@ )

    Parameters

    n
    Type: Math.Gmp.Nativempz_t
    The operand integer.
    reps
    Type: SystemInt32
    The number of internal passes of the probabilistic algorithm.

    Return Value

    Type: Int32
    If the function mpz_millerrabin(mpz_t, Int32) returns 0 then n is not prime. If it returns 1, then n is 'probably' prime.
    Remarks

    - The probability of a false positive is (1/4)^reps, where reps +

    Parameters

    n
    Type: Math.Gmp.Nativempz_t
    The operand integer.
    reps
    Type: SystemInt32
    The number of internal passes of the probabilistic algorithm.

    Return Value

    Type: Int32
    If the function mpz_millerrabin(mpz_t, Int32) returns 0 then n is not prime. If it returns 1, then n is 'probably' prime.
    Remarks

    + The probability of a false positive is (1/4)^reps, where reps is the number of internal passes of the probabilistic algorithm. Knuth indicates that 25 passes are reasonable.

    Examples
    // Create, initialize, and set the value of n to 12.
    diff --git a/docs/html/f0caf821-320b-1a8b-87ff-84fcbdfd5801.htm b/docs/html/f0caf821-320b-1a8b-87ff-84fcbdfd5801.htm
    index c2d6dc2..b7df588 100644
    --- a/docs/html/f0caf821-320b-1a8b-87ff-84fcbdfd5801.htm
    +++ b/docs/html/f0caf821-320b-1a8b-87ff-84fcbdfd5801.htm
    @@ -19,7 +19,7 @@
             bit_index : mp_bitcnt_t -> unit 
     

    Parameters

    rop
    Type: Math.Gmp.Nativempz_t
    The result integer.
    bit_index
    Type: Math.Gmp.Nativemp_bitcnt_t
    The index of the bit to set.
    Remarks

    The function behaves as if twos complement arithmetic were used (although sign-magnitude is the actual implementation). - The least significant bit is number 0. + The least significant bit is number 0.

    Examples
    // Create, initialize, and set the value of rop to 70.
     mpz_t rop = new mpz_t();
     gmp_lib.mpz_init_set_si(rop, 70);
    diff --git a/docs/html/f148f8be-dfbc-fc41-981d-0a99834f01ff.htm b/docs/html/f148f8be-dfbc-fc41-981d-0a99834f01ff.htm
    index 6e8d63d..91bf9c0 100644
    --- a/docs/html/f148f8be-dfbc-fc41-981d-0a99834f01ff.htm
    +++ b/docs/html/f148f8be-dfbc-fc41-981d-0a99834f01ff.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpq_mul_2exp Method 
    Click or drag to resize
    gmp_libmpq_mul_2exp Method
    - Set rop to op1 * 2*op2. + Set rop to op1 * 2*op2.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/f209112e-311a-88cd-becf-33bc3787f91d.htm b/docs/html/f209112e-311a-88cd-becf-33bc3787f91d.htm index ef10f1b..2df0466 100644 --- a/docs/html/f209112e-311a-88cd-becf-33bc3787f91d.htm +++ b/docs/html/f209112e-311a-88cd-becf-33bc3787f91d.htm @@ -17,8 +17,9 @@ )

    Parameters

    state
    Type: Math.Gmp.Nativegmp_randstate_t
    The state to initialize.
    size
    Type: Math.Gmp.Nativemp_bitcnt_t

    Return Value

    Type: Int32
    If successful the return value is non-zero. If size is bigger than the table data provides then the return value is zero.
    Remarks

    a, c and m2exp are selected from a table, chosen so that size - bits (or more) of each X will be used, i.e. m2exp / 2 ≥ size. +

    Parameters

    state
    Type: Math.Gmp.Nativegmp_randstate_t
    The state to initialize.
    size
    Type: Math.Gmp.Nativemp_bitcnt_t

    Return Value

    Type: Int32
    If successful the return value is non-zero. If size is bigger than the table data provides then the return value is zero.
    Remarks

    + a, c and m2exp are selected from a table, chosen so that size + bits (or more) of each X will be used, i.e. m2exp / 2 ≥ size.

    Examples
    // Create new random number generator state.
     gmp_randstate_t state = new gmp_randstate_t();
     
    diff --git a/docs/html/f457878b-c3f5-bfe2-aaa9-7f2179332f57.htm b/docs/html/f457878b-c3f5-bfe2-aaa9-7f2179332f57.htm
    index d55df04..650cf24 100644
    --- a/docs/html/f457878b-c3f5-bfe2-aaa9-7f2179332f57.htm
    +++ b/docs/html/f457878b-c3f5-bfe2-aaa9-7f2179332f57.htm
    @@ -22,11 +22,11 @@
             base : int * 
             op : mpq_t -> char_ptr 
     

    Parameters

    str
    Type: Math.Gmp.Nativechar_ptr
    The result string.
    base
    Type: SystemInt32
    The base.
    op
    Type: Math.Gmp.Nativempq_t
    The operand rational.

    Return Value

    Type: char_ptr
    A pointer to the result string is returned, being either the allocated block, or the given str.
    Remarks

    - The base may vary from 2 to 36. The string will be of the form "num/den", or if the denominator is 1 then just "num". + The base may vary from 2 to 36. The string will be of the form "num/den", or if the denominator is 1 then just "num".

    If str is NULL, the result string is allocated using the current allocation function (see GNU MP - Custom Allocation). - The block will be strlen(str) + 1 bytes, that being exactly enough for the string and null-terminator. + The block will be strlen(str) + 1 bytes, that being exactly enough for the string and null-terminator.

    If str is not NULL, it should point to a block of storage large enough for the result, that being

    C++
    mpz_sizeinbase(mpq_numref(op), base) + mpz_sizeinbase(mpq_denref(op), base) + 3

    diff --git a/docs/html/f485faa1-3758-8316-f712-42e0fc2058a8.htm b/docs/html/f485faa1-3758-8316-f712-42e0fc2058a8.htm index 36251bc..b0fa673 100644 --- a/docs/html/f485faa1-3758-8316-f712-42e0fc2058a8.htm +++ b/docs/html/f485faa1-3758-8316-f712-42e0fc2058a8.htm @@ -1,5 +1,5 @@ gmp_lib.mpf_reldiff Method

    Click or drag to resize
    gmp_libmpf_reldiff Method
    - Compute the relative difference between op1 and op2 and store the result in rop. This is |op1 - op2| / op1. + Compute the relative difference between op1 and op2 and store the result in rop. This is | op1 - op2 | / op1.

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/f56c5489-8c01-a687-fec8-a5f443738701.htm b/docs/html/f56c5489-8c01-a687-fec8-a5f443738701.htm index d330e98..a7ec341 100644 --- a/docs/html/f56c5489-8c01-a687-fec8-a5f443738701.htm +++ b/docs/html/f56c5489-8c01-a687-fec8-a5f443738701.htm @@ -1,5 +1,5 @@ gmp_lib.mpz_fdiv_q_2exp Method
    Click or drag to resize
    gmp_libmpz_fdiv_q_2exp Method
    - Set the quotient q to floor(n / 2^b). + Set the quotient q to floor(n / 2^b).

    Namespace:  Math.Gmp.Native
    diff --git a/docs/html/f5c3f25d-1ad5-b3be-fc4b-280a62869912.htm b/docs/html/f5c3f25d-1ad5-b3be-fc4b-280a62869912.htm index 185ca13..603c7ab 100644 --- a/docs/html/f5c3f25d-1ad5-b3be-fc4b-280a62869912.htm +++ b/docs/html/f5c3f25d-1ad5-b3be-fc4b-280a62869912.htm @@ -30,12 +30,12 @@ s2n : mp_size_t * s3limb : mp_limb_t -> mp_limb_t

    Parameters

    r1p
    Type: Math.Gmp.Nativemp_ptr
    qxn
    Type: Math.Gmp.Nativemp_size_t
    s2p
    Type: Math.Gmp.Nativemp_ptr
    s2n
    Type: Math.Gmp.Nativemp_size_t
    s3limb
    Type: Math.Gmp.Nativemp_limb_t

    Return Value

    Type: mp_limb_t
    Return the remainder.
    Remarks

    - The integer quotient is written to {r1p + qxn, s2n} + The integer quotient is written to {r1p + qxn, s2n} and in addition qxn fraction limbs are developed and written to {r1p, qxn}. Either or both s2n and qxn can be zero. For most usages, qxn will be zero.

    mpn_divmod_1(mp_ptr, mp_ptr, mp_size_t, mp_limb_t) exists for upward source compatibility and is simply a macro - calling mpn_divrem_1(mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_limb_t) with a qxn of 0. + calling mpn_divrem_1(mp_ptr, mp_size_t, mp_ptr, mp_size_t, mp_limb_t) with a qxn of 0.

    The areas at r1p and s2p have to be identical or completely separate, not partially overlapping. diff --git a/docs/html/f88b40d4-3da9-e2c7-4c4c-1ad868778075.htm b/docs/html/f88b40d4-3da9-e2c7-4c4c-1ad868778075.htm index 0a72b15..0be2ac0 100644 --- a/docs/html/f88b40d4-3da9-e2c7-4c4c-1ad868778075.htm +++ b/docs/html/f88b40d4-3da9-e2c7-4c4c-1ad868778075.htm @@ -16,7 +16,7 @@

    Parameters

    op
    Type: Math.Gmp.Nativempq_t
    The operand rational.

    Return Value

    Type: Double
    The converted Double.
    Remarks

    If the exponent from the conversion is too big or too small to fit a Double then the result is system dependent. For too big an infinity is returned when available. - For too small 0.0 is normally returned. + For too small 0.0 is normally returned. Hardware overflow, underflow and denorm traps may or may not occur.

    Examples
    // Create, initialize, and set the value of x to 10 / 11.
     mpq_t x = new mpq_t();
    diff --git a/docs/html/fae08c47-86df-9010-1827-a9fa6e48a1af.htm b/docs/html/fae08c47-86df-9010-1827-a9fa6e48a1af.htm
    index 41fea85..e8f6be1 100644
    --- a/docs/html/fae08c47-86df-9010-1827-a9fa6e48a1af.htm
    +++ b/docs/html/fae08c47-86df-9010-1827-a9fa6e48a1af.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_gcdext Method 
    Click or drag to resize
    gmp_libmpz_gcdext Method
    - Set g to the greatest common divisor of a and b, and in addition set s and t to coefficients satisfying a * s + b * t = g. + Set g to the greatest common divisor of a and b, and in addition set s and t to coefficients satisfying a * s + b * t = g.

    Namespace:  Math.Gmp.Native
    @@ -32,23 +32,23 @@

    Parameters

    g
    Type: Math.Gmp.Nativempz_t
    The greateast common divisor.
    s
    Type: Math.Gmp.Nativempz_t
    The first result coefficient.
    t
    Type: Math.Gmp.Nativempz_t
    The second result coefficient.
    a
    Type: Math.Gmp.Nativempz_t
    The first operand integer.
    b
    Type: Math.Gmp.Nativempz_t
    The second operand integer.
    Remarks

    The value in g is always positive, even if one or both of a and b are negative (or zero if both inputs are zero). The values in s and t are chosen such - that normally, |s| < |b| / (2 g) - and |t| < |a| / (2 g), and these relations + that normally, | s | < | b | / (2 g) + and | t | < | a | / (2 g), and these relations define s and t uniquely. There are a few exceptional cases:

    - If |a| = |b|, then s = 0, - t = sgn(b). + If | a | = | b |, then s = 0, + t = sgn(b).

    - Otherwise, s = sgn(a) if b = 0 - or |b| = 2 g, and t = sgn(b) - if a = 0 or |a| = 2 g. + Otherwise, s = sgn(a) if b = 0 + or | b | = 2 g, and t = sgn(b) + if a = 0 or | a | = 2 g.

    - In all cases, s = 0 if and only if - g = |b|, i.e., + In all cases, s = 0 if and only if + g = | b |, i.e., if b divides a - or a = b = 0. + or a = b = 0.

    - If t is null then that value is not computed. + If t is null then that value is not computed.

    Examples
    // Create, initialize, and set the value of op1 to 63.
     mpz_t a = new mpz_t();
     gmp_lib.mpz_init_set_ui(a, 63U);
    diff --git a/docs/html/fb2d29b4-f7e2-e3d6-6fcb-920f2e86c0d7.htm b/docs/html/fb2d29b4-f7e2-e3d6-6fcb-920f2e86c0d7.htm
    index 5fb55c9..3806bf2 100644
    --- a/docs/html/fb2d29b4-f7e2-e3d6-6fcb-920f2e86c0d7.htm
    +++ b/docs/html/fb2d29b4-f7e2-e3d6-6fcb-920f2e86c0d7.htm
    @@ -21,10 +21,10 @@
             xp : mp_ptr * 
             n : mp_size_t * 
             base : int -> size_t 
    -

    Parameters

    xp
    Type: Math.Gmp.Nativemp_ptr
    The operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of xp.
    base
    Type: SystemInt32
    The base.

    Return Value

    Type: size_t
    The size of {xp, n} measured in number of digits in the given base.
    Remarks

    base can vary from 2 to 62. - Requires n > 0 and xp[n - 1] > 0. - The result will be either exact or 1 too big. - If base is a power of 2, the result is always exact. +

    Parameters

    xp
    Type: Math.Gmp.Nativemp_ptr
    The operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of xp.
    base
    Type: SystemInt32
    The base.

    Return Value

    Type: size_t
    The size of {xp, n} measured in number of digits in the given base.
    Remarks

    base can vary from 2 to 62. + Requires n > 0 and xp[n - 1] > 0. + The result will be either exact or 1 too big. + If base is a power of 2, the result is always exact.

    Examples
    // Create multi-precision operands, and expected result.
     mp_ptr xp = new mp_ptr(new uint[] { 0x00000001, 0x00000001 });
     
    diff --git a/docs/html/fe6e46c3-8464-a080-b5fc-718589320cd5.htm b/docs/html/fe6e46c3-8464-a080-b5fc-718589320cd5.htm
    index eb0b3d2..fd86eaa 100644
    --- a/docs/html/fe6e46c3-8464-a080-b5fc-718589320cd5.htm
    +++ b/docs/html/fe6e46c3-8464-a080-b5fc-718589320cd5.htm
    @@ -24,7 +24,7 @@
     

    Parameters

    pp
    Type: Math.Gmp.Nativeptrchar_ptr
    Pointer to returned, allocated string.
    fmt
    Type: SystemString
    Format string. See Formatted Output Strings.
    args
    Type: SystemObject
    Arguments.

    Return Value

    Type: Int32
    The return value is the number of characters produced, excluding the null-terminator.
    Remarks

    The block will be the size of the string and null-terminator. The address of the block in stored to pp.

    - Unlike the C library asprintf, gmp_asprintf(ptrchar_ptr, String, Object) doesn’t return -1 if there’s no more memory available, + Unlike the C library asprintf, gmp_asprintf(ptrchar_ptr, String, Object) doesn’t return -1 if there’s no more memory available, it lets the current allocation function handle that.

    Examples
    // Create pointer to unmanaged character string pointer.
     ptr<char_ptr> str = new ptr<char_ptr>();
    diff --git a/docs/html/feafa6f8-9793-d704-31a8-67c2cec0c33e.htm b/docs/html/feafa6f8-9793-d704-31a8-67c2cec0c33e.htm
    index 4998f3b..3dfff45 100644
    --- a/docs/html/feafa6f8-9793-d704-31a8-67c2cec0c33e.htm
    +++ b/docs/html/feafa6f8-9793-d704-31a8-67c2cec0c33e.htm
    @@ -26,20 +26,20 @@
             n_digits : size_t * 
             op : mpf_t -> size_t 
     

    Parameters

    stream
    Type: Math.Gmp.NativeptrFILE
    Pointer to file stream.
    base
    Type: SystemInt32
    The base.
    n_digits
    Type: Math.Gmp.Nativesize_t
    Maximum number fo digits to write.
    op
    Type: Math.Gmp.Nativempf_t
    The operand float.

    Return Value

    Type: size_t
    Return the number of bytes written, or if an error occurred, return 0.
    Remarks

    - The mantissa is prefixed with an "0." and is in the given base, - which may vary from 2 to 62 or from -2 to -36. - An exponent is then printed, separated by an "e", or if the base - is greater than 10 then by an "@". + The mantissa is prefixed with an "0." and is in the given base, + which may vary from 2 to 62 or from -2 to -36. + An exponent is then printed, separated by an "e", or if the base + is greater than 10 then by an "@". The exponent is always in decimal. The decimal point follows the current locale, on systems providing localeconv.

    - For base in the range 2..36, digits and lower-case letters are used; - for -2..-36, digits and upper-case letters are used; for 37..62, digits, + For base in the range 2..36, digits and lower-case letters are used; + for -2..-36, digits and upper-case letters are used; for 37..62, digits, upper-case letters, and lower-case letters (in that significance order) are used.

    Up to n_digits will be printed from the mantissa, except that no more digits than are accurately representable by op will be printed. - n_digits can be 0 to select that accurate maximum. + n_digits can be 0 to select that accurate maximum.

    Examples
    // Create, initialize, and set the value of op to 123456.
     mpf_t op = new mpf_t();
     gmp_lib.mpf_init_set_ui(op, 123456U);
    diff --git a/docs/html/ff9c2930-ded2-c5b6-46dd-3ff9279cdc5e.htm b/docs/html/ff9c2930-ded2-c5b6-46dd-3ff9279cdc5e.htm
    index a6df9e5..64be729 100644
    --- a/docs/html/ff9c2930-ded2-c5b6-46dd-3ff9279cdc5e.htm
    +++ b/docs/html/ff9c2930-ded2-c5b6-46dd-3ff9279cdc5e.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpn_sqr Method 
    Click or drag to resize
    gmp_libmpn_sqr Method
    - Compute the square of {s1p, n} and write the (2 * n)-limb result to rp. + Compute the square of {s1p, n} and write the (2 * n)-limb result to rp.

    Namespace:  Math.Gmp.Native
    @@ -22,7 +22,7 @@ s1p : mp_ptr * n : mp_size_t -> unit

    Parameters

    rp
    Type: Math.Gmp.Nativemp_ptr
    The result integer.
    s1p
    Type: Math.Gmp.Nativemp_ptr
    The operand integer.
    n
    Type: Math.Gmp.Nativemp_size_t
    The number of limbs of s1p.
    Remarks

    - The destination has to have space for 2 * n limbs, even if the result’s + The destination has to have space for 2 * n limbs, even if the result’s most significant limb is zero. No overlap is permitted between the destination and the source.

    Examples
    // Create multi-precision operands, and expected result.
     mp_ptr s1p = new mp_ptr(new uint[] { 0xffffffff, 0xffffffff });
    diff --git a/docs/html/ffd27ee1-e1e3-567f-b3cf-87dec2de2c83.htm b/docs/html/ffd27ee1-e1e3-567f-b3cf-87dec2de2c83.htm
    index 5f0861a..b743900 100644
    --- a/docs/html/ffd27ee1-e1e3-567f-b3cf-87dec2de2c83.htm
    +++ b/docs/html/ffd27ee1-e1e3-567f-b3cf-87dec2de2c83.htm
    @@ -1,5 +1,5 @@
     gmp_lib.mpz_mul_si Method 
    Click or drag to resize
    gmp_libmpz_mul_si Method
    - Set rop to op1 * op2. + Set rop to op1 * op2.

    Namespace:  Math.Gmp.Native

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