mirror of
https://github.com/cuberite/polarssl.git
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Split ecp.c
This commit is contained in:
Manuel Pégourié-Gonnard
parent
43863eeffc
commit
32b04c1237
@ -17,6 +17,7 @@ set(src
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des.c
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dhm.c
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ecp.c
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ecp_curves.c
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ecdh.c
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ecdsa.c
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entropy.c
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@ -40,7 +40,7 @@ OBJS= aes.o arc4.o asn1parse.o \
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certs.o cipher.o cipher_wrap.o \
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ctr_drbg.o debug.o des.o \
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dhm.o ecdh.o ecdsa.o \
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ecp.o \
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ecp.o ecp_curves.o \
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entropy.o entropy_poll.o \
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error.o gcm.o havege.o \
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md.o md_wrap.o md2.o \
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645
library/ecp.c
645
library/ecp.c
@ -1,5 +1,5 @@
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/*
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* Elliptic curves over GF(p)
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* Elliptic curves over GF(p): generic functions
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*
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* Copyright (C) 2006-2013, Brainspark B.V.
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*
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@ -513,246 +513,6 @@ cleanup:
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return( ret );
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}
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/*
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* Domain parameters for secp192r1
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*/
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#define SECP192R1_P \
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"
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#define SECP192R1_B \
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"64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1"
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#define SECP192R1_GX \
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"188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"
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#define SECP192R1_GY \
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"07192B95FFC8DA78631011ED6B24CDD573F977A11E794811"
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#define SECP192R1_N \
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"FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831"
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/*
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* Domain parameters for secp224r1
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*/
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#define SECP224R1_P \
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001"
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#define SECP224R1_B \
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"B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4"
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#define SECP224R1_GX \
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"B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"
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#define SECP224R1_GY \
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"BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"
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#define SECP224R1_N \
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D"
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/*
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* Domain parameters for secp256r1
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*/
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#define SECP256R1_P \
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"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"
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#define SECP256R1_B \
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"5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"
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#define SECP256R1_GX \
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"6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"
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#define SECP256R1_GY \
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"4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"
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#define SECP256R1_N \
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"FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551"
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/*
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* Domain parameters for secp384r1
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*/
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#define SECP384R1_P \
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" \
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"FFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF"
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#define SECP384R1_B \
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"B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE814112" \
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"0314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF"
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#define SECP384R1_GX \
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"AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B98" \
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"59F741E082542A385502F25DBF55296C3A545E3872760AB7"
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#define SECP384R1_GY \
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"3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147C" \
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"E9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F"
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#define SECP384R1_N \
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" \
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"C7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973"
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/*
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* Domain parameters for secp521r1
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*/
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#define SECP521R1_P \
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"000001FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" \
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" \
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"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
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#define SECP521R1_B \
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"00000051953EB9618E1C9A1F929A21A0B68540EEA2DA725B" \
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"99B315F3B8B489918EF109E156193951EC7E937B1652C0BD" \
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"3BB1BF073573DF883D2C34F1EF451FD46B503F00"
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#define SECP521R1_GX \
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"000000C6858E06B70404E9CD9E3ECB662395B4429C648139" \
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"053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127" \
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"A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66"
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#define SECP521R1_GY \
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"0000011839296A789A3BC0045C8A5FB42C7D1BD998F54449" \
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"579B446817AFBD17273E662C97EE72995EF42640C550B901" \
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"3FAD0761353C7086A272C24088BE94769FD16650"
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#define SECP521R1_N \
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"000001FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" \
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"FFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148" \
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"F709A5D03BB5C9B8899C47AEBB6FB71E91386409"
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/*
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* Domain parameters for brainpoolP256r1 (RFC 5639 3.4)
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*/
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#define BP256R1_P \
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"A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377"
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#define BP256R1_A \
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"7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9"
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#define BP256R1_B \
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"26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6"
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#define BP256R1_GX \
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"8BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262"
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#define BP256R1_GY \
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"547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997"
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#define BP256R1_N \
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"A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7"
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/*
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* Domain parameters for brainpoolP384r1 (RFC 5639 3.6)
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*/
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#define BP384R1_P \
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"8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB711" \
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"23ACD3A729901D1A71874700133107EC53"
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#define BP384R1_A \
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"7BC382C63D8C150C3C72080ACE05AFA0C2BEA28E4FB22787139165EFBA91F9" \
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"0F8AA5814A503AD4EB04A8C7DD22CE2826"
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#define BP384R1_B \
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"04A8C7DD22CE28268B39B55416F0447C2FB77DE107DCD2A62E880EA53EEB62" \
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"D57CB4390295DBC9943AB78696FA504C11"
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#define BP384R1_GX \
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"1D1C64F068CF45FFA2A63A81B7C13F6B8847A3E77EF14FE3DB7FCAFE0CBD10" \
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"E8E826E03436D646AAEF87B2E247D4AF1E"
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#define BP384R1_GY \
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"8ABE1D7520F9C2A45CB1EB8E95CFD55262B70B29FEEC5864E19C054FF99129" \
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"280E4646217791811142820341263C5315"
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#define BP384R1_N \
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"8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425" \
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"A7CF3AB6AF6B7FC3103B883202E9046565"
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/*
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* Domain parameters for brainpoolP512r1 (RFC 5639 3.7)
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*/
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#define BP512R1_P \
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"AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308" \
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"717D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3"
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#define BP512R1_A \
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"7830A3318B603B89E2327145AC234CC594CBDD8D3DF91610A83441CAEA9863" \
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"BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CA"
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#define BP512R1_B \
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"3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117" \
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"A72BF2C7B9E7C1AC4D77FC94CADC083E67984050B75EBAE5DD2809BD638016F723"
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#define BP512R1_GX \
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"81AEE4BDD82ED9645A21322E9C4C6A9385ED9F70B5D916C1B43B62EEF4D009" \
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"8EFF3B1F78E2D0D48D50D1687B93B97D5F7C6D5047406A5E688B352209BCB9F822"
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#define BP512R1_GY \
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"7DDE385D566332ECC0EABFA9CF7822FDF209F70024A57B1AA000C55B881F81" \
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"11B2DCDE494A5F485E5BCA4BD88A2763AED1CA2B2FA8F0540678CD1E0F3AD80892"
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#define BP512R1_N \
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"AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308" \
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"70553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069"
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#if defined(POLARSSL_ECP_NIST_OPTIM)
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/* Forward declarations */
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static int ecp_mod_p192( mpi * );
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static int ecp_mod_p224( mpi * );
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static int ecp_mod_p256( mpi * );
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static int ecp_mod_p384( mpi * );
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static int ecp_mod_p521( mpi * );
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#endif
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/*
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* Set a group using well-known domain parameters
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*/
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int ecp_use_known_dp( ecp_group *grp, ecp_group_id id )
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{
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grp->id = id;
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switch( id )
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{
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#if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)
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case POLARSSL_ECP_DP_SECP192R1:
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#if defined(POLARSSL_ECP_NIST_OPTIM)
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grp->modp = ecp_mod_p192;
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#endif
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return( ecp_group_read_string( grp, 16,
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SECP192R1_P, SECP192R1_B,
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SECP192R1_GX, SECP192R1_GY, SECP192R1_N ) );
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#endif /* POLARSSL_ECP_DP_SECP192R1_ENABLED */
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#if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED)
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case POLARSSL_ECP_DP_SECP224R1:
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#if defined(POLARSSL_ECP_NIST_OPTIM)
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grp->modp = ecp_mod_p224;
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#endif
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return( ecp_group_read_string( grp, 16,
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SECP224R1_P, SECP224R1_B,
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SECP224R1_GX, SECP224R1_GY, SECP224R1_N ) );
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#endif /* POLARSSL_ECP_DP_SECP224R1_ENABLED */
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#if defined(POLARSSL_ECP_DP_SECP256R1_ENABLED)
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case POLARSSL_ECP_DP_SECP256R1:
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#if defined(POLARSSL_ECP_NIST_OPTIM)
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grp->modp = ecp_mod_p256;
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#endif
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return( ecp_group_read_string( grp, 16,
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SECP256R1_P, SECP256R1_B,
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SECP256R1_GX, SECP256R1_GY, SECP256R1_N ) );
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#endif /* POLARSSL_ECP_DP_SECP256R1_ENABLED */
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#if defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
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case POLARSSL_ECP_DP_SECP384R1:
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#if defined(POLARSSL_ECP_NIST_OPTIM)
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grp->modp = ecp_mod_p384;
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#endif
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return( ecp_group_read_string( grp, 16,
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SECP384R1_P, SECP384R1_B,
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SECP384R1_GX, SECP384R1_GY, SECP384R1_N ) );
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#endif /* POLARSSL_ECP_DP_SECP384R1_ENABLED */
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#if defined(POLARSSL_ECP_DP_SECP521R1_ENABLED)
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case POLARSSL_ECP_DP_SECP521R1:
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#if defined(POLARSSL_ECP_NIST_OPTIM)
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grp->modp = ecp_mod_p521;
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#endif
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return( ecp_group_read_string( grp, 16,
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SECP521R1_P, SECP521R1_B,
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SECP521R1_GX, SECP521R1_GY, SECP521R1_N ) );
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#endif /* POLARSSL_ECP_DP_SECP521R1_ENABLED */
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#if defined(POLARSSL_ECP_DP_BP256R1_ENABLED)
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case POLARSSL_ECP_DP_BP256R1:
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return( ecp_group_read_string_gen( grp, 16,
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BP256R1_P, BP256R1_A, BP256R1_B,
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BP256R1_GX, BP256R1_GY, BP256R1_N ) );
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#endif /* POLARSSL_ECP_DP_BP256R1_ENABLED */
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#if defined(POLARSSL_ECP_DP_BP384R1_ENABLED)
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case POLARSSL_ECP_DP_BP384R1:
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return( ecp_group_read_string_gen( grp, 16,
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BP384R1_P, BP384R1_A, BP384R1_B,
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BP384R1_GX, BP384R1_GY, BP384R1_N ) );
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#endif /* POLARSSL_ECP_DP_BP384R1_ENABLED */
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#if defined(POLARSSL_ECP_DP_BP512R1_ENABLED)
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case POLARSSL_ECP_DP_BP512R1:
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return( ecp_group_read_string_gen( grp, 16,
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BP512R1_P, BP512R1_A, BP512R1_B,
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BP512R1_GX, BP512R1_GY, BP512R1_N ) );
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#endif /* POLARSSL_ECP_DP_BP512R1_ENABLED */
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default:
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ecp_group_free( grp );
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return( POLARSSL_ERR_ECP_FEATURE_UNAVAILABLE );
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}
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}
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/*
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* Set a group from an ECParameters record (RFC 4492)
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*/
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@ -1705,409 +1465,6 @@ int ecp_gen_key( ecp_group_id grp_id, ecp_keypair *key,
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return( ecp_gen_keypair( &key->grp, &key->d, &key->Q, f_rng, p_rng ) );
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}
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#if defined(POLARSSL_ECP_NIST_OPTIM)
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/*
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* Fast reduction modulo the primes used by the NIST curves.
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*
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* These functions are: critical for speed, but not need for correct
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* operations. So, we make the choice to heavily rely on the internals of our
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* bignum library, which creates a tight coupling between these functions and
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* our MPI implementation. However, the coupling between the ECP module and
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* MPI remains loose, since these functions can be deactivated at will.
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*/
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#if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)
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/*
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* Compared to the way things are presented in FIPS 186-3 D.2,
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* we proceed in columns, from right (least significant chunk) to left,
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* adding chunks to N in place, and keeping a carry for the next chunk.
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* This avoids moving things around in memory, and uselessly adding zeros,
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* compared to the more straightforward, line-oriented approach.
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*
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* For this prime we need to handle data in chunks of 64 bits.
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* Since this is always a multiple of our basic t_uint, we can
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* use a t_uint * to designate such a chunk, and small loops to handle it.
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*/
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/* Add 64-bit chunks (dst += src) and update carry */
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static inline void add64( t_uint *dst, t_uint *src, t_uint *carry )
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{
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unsigned char i;
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t_uint c = 0;
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for( i = 0; i < 8 / sizeof( t_uint ); i++, dst++, src++ )
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{
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*dst += c; c = ( *dst < c );
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*dst += *src; c += ( *dst < *src );
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}
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*carry += c;
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}
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/* Add carry to a 64-bit chunk and update carry */
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static inline void carry64( t_uint *dst, t_uint *carry )
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{
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unsigned char i;
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for( i = 0; i < 8 / sizeof( t_uint ); i++, dst++ )
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{
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*dst += *carry;
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*carry = ( *dst < *carry );
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}
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}
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#define WIDTH 8 / sizeof( t_uint )
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#define A( i ) N->p + i * WIDTH
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#define ADD( i ) add64( p, A( i ), &c )
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#define NEXT p += WIDTH; carry64( p, &c )
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#define LAST p += WIDTH; *p = c; while( ++p < end ) *p = 0
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/*
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* Fast quasi-reduction modulo p192 (FIPS 186-3 D.2.1)
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*/
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static int ecp_mod_p192( mpi *N )
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{
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int ret;
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t_uint c = 0;
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t_uint *p, *end;
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/* Make sure we have enough blocks so that A(5) is legal */
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MPI_CHK( mpi_grow( N, 6 * WIDTH ) );
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p = N->p;
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end = p + N->n;
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ADD( 3 ); ADD( 5 ); NEXT; // A0 += A3 + A5
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ADD( 3 ); ADD( 4 ); ADD( 5 ); NEXT; // A1 += A3 + A4 + A5
|
||||
ADD( 4 ); ADD( 5 ); LAST; // A2 += A4 + A5
|
||||
|
||||
cleanup:
|
||||
return( ret );
|
||||
}
|
||||
|
||||
#undef WIDTH
|
||||
#undef A
|
||||
#undef ADD
|
||||
#undef NEXT
|
||||
#undef LAST
|
||||
#endif /* POLARSSL_ECP_DP_SECP192R1_ENABLED */
|
||||
|
||||
#if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED) || \
|
||||
defined(POLARSSL_ECP_DP_SECP256R1_ENABLED) || \
|
||||
defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
|
||||
/*
|
||||
* The reader is advised to first understand ecp_mod_p192() since the same
|
||||
* general structure is used here, but with additional complications:
|
||||
* (1) chunks of 32 bits, and (2) subtractions.
|
||||
*/
|
||||
|
||||
/*
|
||||
* For these primes, we need to handle data in chunks of 32 bits.
|
||||
* This makes it more complicated if we use 64 bits limbs in MPI,
|
||||
* which prevents us from using a uniform access method as for p192.
|
||||
*
|
||||
* So, we define a mini abstraction layer to access 32 bit chunks,
|
||||
* load them in 'cur' for work, and store them back from 'cur' when done.
|
||||
*
|
||||
* While at it, also define the size of N in terms of 32-bit chunks.
|
||||
*/
|
||||
#define LOAD32 cur = A( i );
|
||||
|
||||
#if defined(POLARSSL_HAVE_INT8) /* 8 bit */
|
||||
|
||||
#define MAX32 N->n / 4
|
||||
#define A( j ) (uint32_t)( N->p[4*j+0] ) | \
|
||||
( N->p[4*j+1] << 8 ) | \
|
||||
( N->p[4*j+2] << 16 ) | \
|
||||
( N->p[4*j+3] << 24 )
|
||||
#define STORE32 N->p[4*i+0] = (t_uint)( cur ); \
|
||||
N->p[4*i+1] = (t_uint)( cur >> 8 ); \
|
||||
N->p[4*i+2] = (t_uint)( cur >> 16 ); \
|
||||
N->p[4*i+3] = (t_uint)( cur >> 24 );
|
||||
|
||||
#elif defined(POLARSSL_HAVE_INT16) /* 16 bit */
|
||||
|
||||
#define MAX32 N->n / 2
|
||||
#define A( j ) (uint32_t)( N->p[2*j] ) | ( N->p[2*j+1] << 16 )
|
||||
#define STORE32 N->p[2*i+0] = (t_uint)( cur ); \
|
||||
N->p[2*i+1] = (t_uint)( cur >> 16 );
|
||||
|
||||
#elif defined(POLARSSL_HAVE_INT32) /* 32 bit */
|
||||
|
||||
#define MAX32 N->n
|
||||
#define A( j ) N->p[j]
|
||||
#define STORE32 N->p[i] = cur;
|
||||
|
||||
#else /* 64-bit */
|
||||
|
||||
#define MAX32 N->n * 2
|
||||
#define A( j ) j % 2 ? (uint32_t)( N->p[j/2] >> 32 ) : (uint32_t)( N->p[j/2] )
|
||||
#define STORE32 \
|
||||
if( i % 2 ) { \
|
||||
N->p[i/2] &= 0x00000000FFFFFFFF; \
|
||||
N->p[i/2] |= ((t_uint) cur) << 32; \
|
||||
} else { \
|
||||
N->p[i/2] &= 0xFFFFFFFF00000000; \
|
||||
N->p[i/2] |= (t_uint) cur; \
|
||||
}
|
||||
|
||||
#endif /* sizeof( t_uint ) */
|
||||
|
||||
/*
|
||||
* Helpers for addition and subtraction of chunks, with signed carry.
|
||||
*/
|
||||
static inline void add32( uint32_t *dst, uint32_t src, signed char *carry )
|
||||
{
|
||||
*dst += src;
|
||||
*carry += ( *dst < src );
|
||||
}
|
||||
|
||||
static inline void sub32( uint32_t *dst, uint32_t src, signed char *carry )
|
||||
{
|
||||
*carry -= ( *dst < src );
|
||||
*dst -= src;
|
||||
}
|
||||
|
||||
#define ADD( j ) add32( &cur, A( j ), &c );
|
||||
#define SUB( j ) sub32( &cur, A( j ), &c );
|
||||
|
||||
/*
|
||||
* Helpers for the main 'loop'
|
||||
* (see fix_negative for the motivation of C)
|
||||
*/
|
||||
#define INIT( b ) \
|
||||
int ret; \
|
||||
signed char c = 0, cc; \
|
||||
uint32_t cur; \
|
||||
size_t i = 0, bits = b; \
|
||||
mpi C; \
|
||||
t_uint Cp[ b / 8 / sizeof( t_uint) + 1 ]; \
|
||||
\
|
||||
C.s = 1; \
|
||||
C.n = b / 8 / sizeof( t_uint) + 1; \
|
||||
C.p = Cp; \
|
||||
memset( Cp, 0, C.n * sizeof( t_uint ) ); \
|
||||
\
|
||||
MPI_CHK( mpi_grow( N, b * 2 / 8 / sizeof( t_uint ) ) ); \
|
||||
LOAD32;
|
||||
|
||||
#define NEXT \
|
||||
STORE32; i++; LOAD32; \
|
||||
cc = c; c = 0; \
|
||||
if( cc < 0 ) \
|
||||
sub32( &cur, -cc, &c ); \
|
||||
else \
|
||||
add32( &cur, cc, &c ); \
|
||||
|
||||
#define LAST \
|
||||
STORE32; i++; \
|
||||
cur = c > 0 ? c : 0; STORE32; \
|
||||
cur = 0; while( ++i < MAX32 ) { STORE32; } \
|
||||
if( c < 0 ) fix_negative( N, c, &C, bits );
|
||||
|
||||
/*
|
||||
* If the result is negative, we get it in the form
|
||||
* c * 2^(bits + 32) + N, with c negative and N positive shorter than 'bits'
|
||||
*/
|
||||
static inline int fix_negative( mpi *N, signed char c, mpi *C, size_t bits )
|
||||
{
|
||||
int ret;
|
||||
|
||||
/* C = - c * 2^(bits + 32) */
|
||||
#if !defined(POLARSSL_HAVE_INT64)
|
||||
((void) bits);
|
||||
#else
|
||||
if( bits == 224 )
|
||||
C->p[ C->n - 1 ] = ((t_uint) -c) << 32;
|
||||
else
|
||||
#endif
|
||||
C->p[ C->n - 1 ] = (t_uint) -c;
|
||||
|
||||
/* N = - ( C - N ) */
|
||||
MPI_CHK( mpi_sub_abs( N, C, N ) );
|
||||
N->s = -1;
|
||||
|
||||
cleanup:
|
||||
|
||||
return( ret );
|
||||
}
|
||||
|
||||
#if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED)
|
||||
/*
|
||||
* Fast quasi-reduction modulo p224 (FIPS 186-3 D.2.2)
|
||||
*/
|
||||
static int ecp_mod_p224( mpi *N )
|
||||
{
|
||||
INIT( 224 );
|
||||
|
||||
SUB( 7 ); SUB( 11 ); NEXT; // A0 += -A7 - A11
|
||||
SUB( 8 ); SUB( 12 ); NEXT; // A1 += -A8 - A12
|
||||
SUB( 9 ); SUB( 13 ); NEXT; // A2 += -A9 - A13
|
||||
SUB( 10 ); ADD( 7 ); ADD( 11 ); NEXT; // A3 += -A10 + A7 + A11
|
||||
SUB( 11 ); ADD( 8 ); ADD( 12 ); NEXT; // A4 += -A11 + A8 + A12
|
||||
SUB( 12 ); ADD( 9 ); ADD( 13 ); NEXT; // A5 += -A12 + A9 + A13
|
||||
SUB( 13 ); ADD( 10 ); LAST; // A6 += -A13 + A10
|
||||
|
||||
cleanup:
|
||||
return( ret );
|
||||
}
|
||||
#endif /* POLARSSL_ECP_DP_SECP224R1_ENABLED */
|
||||
|
||||
#if defined(POLARSSL_ECP_DP_SECP256R1_ENABLED)
|
||||
/*
|
||||
* Fast quasi-reduction modulo p256 (FIPS 186-3 D.2.3)
|
||||
*/
|
||||
static int ecp_mod_p256( mpi *N )
|
||||
{
|
||||
INIT( 256 );
|
||||
|
||||
ADD( 8 ); ADD( 9 );
|
||||
SUB( 11 ); SUB( 12 ); SUB( 13 ); SUB( 14 ); NEXT; // A0
|
||||
|
||||
ADD( 9 ); ADD( 10 );
|
||||
SUB( 12 ); SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A1
|
||||
|
||||
ADD( 10 ); ADD( 11 );
|
||||
SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A2
|
||||
|
||||
ADD( 11 ); ADD( 11 ); ADD( 12 ); ADD( 12 ); ADD( 13 );
|
||||
SUB( 15 ); SUB( 8 ); SUB( 9 ); NEXT; // A3
|
||||
|
||||
ADD( 12 ); ADD( 12 ); ADD( 13 ); ADD( 13 ); ADD( 14 );
|
||||
SUB( 9 ); SUB( 10 ); NEXT; // A4
|
||||
|
||||
ADD( 13 ); ADD( 13 ); ADD( 14 ); ADD( 14 ); ADD( 15 );
|
||||
SUB( 10 ); SUB( 11 ); NEXT; // A5
|
||||
|
||||
ADD( 14 ); ADD( 14 ); ADD( 15 ); ADD( 15 ); ADD( 14 ); ADD( 13 );
|
||||
SUB( 8 ); SUB( 9 ); NEXT; // A6
|
||||
|
||||
ADD( 15 ); ADD( 15 ); ADD( 15 ); ADD( 8 );
|
||||
SUB( 10 ); SUB( 11 ); SUB( 12 ); SUB( 13 ); LAST; // A7
|
||||
|
||||
cleanup:
|
||||
return( ret );
|
||||
}
|
||||
#endif /* POLARSSL_ECP_DP_SECP256R1_ENABLED */
|
||||
|
||||
#if defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
|
||||
/*
|
||||
* Fast quasi-reduction modulo p384 (FIPS 186-3 D.2.4)
|
||||
*/
|
||||
static int ecp_mod_p384( mpi *N )
|
||||
{
|
||||
INIT( 384 );
|
||||
|
||||
ADD( 12 ); ADD( 21 ); ADD( 20 );
|
||||
SUB( 23 ); NEXT; // A0
|
||||
|
||||
ADD( 13 ); ADD( 22 ); ADD( 23 );
|
||||
SUB( 12 ); SUB( 20 ); NEXT; // A2
|
||||
|
||||
ADD( 14 ); ADD( 23 );
|
||||
SUB( 13 ); SUB( 21 ); NEXT; // A2
|
||||
|
||||
ADD( 15 ); ADD( 12 ); ADD( 20 ); ADD( 21 );
|
||||
SUB( 14 ); SUB( 22 ); SUB( 23 ); NEXT; // A3
|
||||
|
||||
ADD( 21 ); ADD( 21 ); ADD( 16 ); ADD( 13 ); ADD( 12 ); ADD( 20 ); ADD( 22 );
|
||||
SUB( 15 ); SUB( 23 ); SUB( 23 ); NEXT; // A4
|
||||
|
||||
ADD( 22 ); ADD( 22 ); ADD( 17 ); ADD( 14 ); ADD( 13 ); ADD( 21 ); ADD( 23 );
|
||||
SUB( 16 ); NEXT; // A5
|
||||
|
||||
ADD( 23 ); ADD( 23 ); ADD( 18 ); ADD( 15 ); ADD( 14 ); ADD( 22 );
|
||||
SUB( 17 ); NEXT; // A6
|
||||
|
||||
ADD( 19 ); ADD( 16 ); ADD( 15 ); ADD( 23 );
|
||||
SUB( 18 ); NEXT; // A7
|
||||
|
||||
ADD( 20 ); ADD( 17 ); ADD( 16 );
|
||||
SUB( 19 ); NEXT; // A8
|
||||
|
||||
ADD( 21 ); ADD( 18 ); ADD( 17 );
|
||||
SUB( 20 ); NEXT; // A9
|
||||
|
||||
ADD( 22 ); ADD( 19 ); ADD( 18 );
|
||||
SUB( 21 ); NEXT; // A10
|
||||
|
||||
ADD( 23 ); ADD( 20 ); ADD( 19 );
|
||||
SUB( 22 ); LAST; // A11
|
||||
|
||||
cleanup:
|
||||
return( ret );
|
||||
}
|
||||
#endif /* POLARSSL_ECP_DP_SECP384R1_ENABLED */
|
||||
|
||||
#undef A
|
||||
#undef LOAD32
|
||||
#undef STORE32
|
||||
#undef MAX32
|
||||
#undef INIT
|
||||
#undef NEXT
|
||||
#undef LAST
|
||||
|
||||
#endif /* POLARSSL_ECP_DP_SECP224R1_ENABLED ||
|
||||
POLARSSL_ECP_DP_SECP256R1_ENABLED ||
|
||||
POLARSSL_ECP_DP_SECP384R1_ENABLED */
|
||||
|
||||
#if defined(POLARSSL_ECP_DP_SECP521R1_ENABLED)
|
||||
/*
|
||||
* Here we have an actual Mersenne prime, so things are more straightforward.
|
||||
* However, chunks are aligned on a 'weird' boundary (521 bits).
|
||||
*/
|
||||
|
||||
/* Size of p521 in terms of t_uint */
|
||||
#define P521_WIDTH ( 521 / 8 / sizeof( t_uint ) + 1 )
|
||||
|
||||
/* Bits to keep in the most significant t_uint */
|
||||
#if defined(POLARSSL_HAVE_INT8)
|
||||
#define P521_MASK 0x01
|
||||
#else
|
||||
#define P521_MASK 0x01FF
|
||||
#endif
|
||||
|
||||
/*
|
||||
* Fast quasi-reduction modulo p521 (FIPS 186-3 D.2.5)
|
||||
* Write N as A1 + 2^521 A0, return A0 + A1
|
||||
*/
|
||||
static int ecp_mod_p521( mpi *N )
|
||||
{
|
||||
int ret;
|
||||
size_t i;
|
||||
mpi M;
|
||||
t_uint Mp[P521_WIDTH + 1];
|
||||
/* Worst case for the size of M is when t_uint is 16 bits:
|
||||
* we need to hold bits 513 to 1056, which is 34 limbs, that is
|
||||
* P521_WIDTH + 1. Otherwise P521_WIDTH is enough. */
|
||||
|
||||
if( N->n < P521_WIDTH )
|
||||
return( 0 );
|
||||
|
||||
/* M = A1 */
|
||||
M.s = 1;
|
||||
M.n = N->n - ( P521_WIDTH - 1 );
|
||||
if( M.n > P521_WIDTH + 1 )
|
||||
M.n = P521_WIDTH + 1;
|
||||
M.p = Mp;
|
||||
memcpy( Mp, N->p + P521_WIDTH - 1, M.n * sizeof( t_uint ) );
|
||||
MPI_CHK( mpi_shift_r( &M, 521 % ( 8 * sizeof( t_uint ) ) ) );
|
||||
|
||||
/* N = A0 */
|
||||
N->p[P521_WIDTH - 1] &= P521_MASK;
|
||||
for( i = P521_WIDTH; i < N->n; i++ )
|
||||
N->p[i] = 0;
|
||||
|
||||
/* N = A0 + A1 */
|
||||
MPI_CHK( mpi_add_abs( N, N, &M ) );
|
||||
|
||||
cleanup:
|
||||
return( ret );
|
||||
}
|
||||
|
||||
#undef P521_WIDTH
|
||||
#undef P521_MASK
|
||||
#endif /* POLARSSL_ECP_DP_SECP521R1_ENABLED */
|
||||
|
||||
#endif /* POLARSSL_ECP_NIST_OPTIM */
|
||||
|
||||
#if defined(POLARSSL_SELF_TEST)
|
||||
|
||||
/*
|
||||
|
||||
700
library/ecp_curves.c
Normal file
700
library/ecp_curves.c
Normal file
@ -0,0 +1,700 @@
|
||||
/*
|
||||
* Elliptic curves over GF(p): curve-specific data and functions
|
||||
*
|
||||
* Copyright (C) 2006-2013, Brainspark B.V.
|
||||
*
|
||||
* This file is part of PolarSSL (http://www.polarssl.org)
|
||||
* Lead Maintainer: Paul Bakker <polarssl_maintainer at polarssl.org>
|
||||
*
|
||||
* All rights reserved.
|
||||
*
|
||||
* This program is free software; you can redistribute it and/or modify
|
||||
* it under the terms of the GNU General Public License as published by
|
||||
* the Free Software Foundation; either version 2 of the License, or
|
||||
* (at your option) any later version.
|
||||
*
|
||||
* This program is distributed in the hope that it will be useful,
|
||||
* but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
* GNU General Public License for more details.
|
||||
*
|
||||
* You should have received a copy of the GNU General Public License along
|
||||
* with this program; if not, write to the Free Software Foundation, Inc.,
|
||||
* 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
|
||||
*/
|
||||
|
||||
#include "polarssl/config.h"
|
||||
|
||||
#if defined(POLARSSL_ECP_C)
|
||||
|
||||
#include "polarssl/ecp.h"
|
||||
|
||||
/*
|
||||
* Domain parameters for secp192r1
|
||||
*/
|
||||
#define SECP192R1_P \
|
||||
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF"
|
||||
#define SECP192R1_B \
|
||||
"64210519E59C80E70FA7E9AB72243049FEB8DEECC146B9B1"
|
||||
#define SECP192R1_GX \
|
||||
"188DA80EB03090F67CBF20EB43A18800F4FF0AFD82FF1012"
|
||||
#define SECP192R1_GY \
|
||||
"07192B95FFC8DA78631011ED6B24CDD573F977A11E794811"
|
||||
#define SECP192R1_N \
|
||||
"FFFFFFFFFFFFFFFFFFFFFFFF99DEF836146BC9B1B4D22831"
|
||||
|
||||
/*
|
||||
* Domain parameters for secp224r1
|
||||
*/
|
||||
#define SECP224R1_P \
|
||||
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF000000000000000000000001"
|
||||
#define SECP224R1_B \
|
||||
"B4050A850C04B3ABF54132565044B0B7D7BFD8BA270B39432355FFB4"
|
||||
#define SECP224R1_GX \
|
||||
"B70E0CBD6BB4BF7F321390B94A03C1D356C21122343280D6115C1D21"
|
||||
#define SECP224R1_GY \
|
||||
"BD376388B5F723FB4C22DFE6CD4375A05A07476444D5819985007E34"
|
||||
#define SECP224R1_N \
|
||||
"FFFFFFFFFFFFFFFFFFFFFFFFFFFF16A2E0B8F03E13DD29455C5C2A3D"
|
||||
|
||||
/*
|
||||
* Domain parameters for secp256r1
|
||||
*/
|
||||
#define SECP256R1_P \
|
||||
"FFFFFFFF00000001000000000000000000000000FFFFFFFFFFFFFFFFFFFFFFFF"
|
||||
#define SECP256R1_B \
|
||||
"5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B"
|
||||
#define SECP256R1_GX \
|
||||
"6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296"
|
||||
#define SECP256R1_GY \
|
||||
"4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5"
|
||||
#define SECP256R1_N \
|
||||
"FFFFFFFF00000000FFFFFFFFFFFFFFFFBCE6FAADA7179E84F3B9CAC2FC632551"
|
||||
|
||||
/*
|
||||
* Domain parameters for secp384r1
|
||||
*/
|
||||
#define SECP384R1_P \
|
||||
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" \
|
||||
"FFFFFFFFFFFFFFFEFFFFFFFF0000000000000000FFFFFFFF"
|
||||
#define SECP384R1_B \
|
||||
"B3312FA7E23EE7E4988E056BE3F82D19181D9C6EFE814112" \
|
||||
"0314088F5013875AC656398D8A2ED19D2A85C8EDD3EC2AEF"
|
||||
#define SECP384R1_GX \
|
||||
"AA87CA22BE8B05378EB1C71EF320AD746E1D3B628BA79B98" \
|
||||
"59F741E082542A385502F25DBF55296C3A545E3872760AB7"
|
||||
#define SECP384R1_GY \
|
||||
"3617DE4A96262C6F5D9E98BF9292DC29F8F41DBD289A147C" \
|
||||
"E9DA3113B5F0B8C00A60B1CE1D7E819D7A431D7C90EA0E5F"
|
||||
#define SECP384R1_N \
|
||||
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" \
|
||||
"C7634D81F4372DDF581A0DB248B0A77AECEC196ACCC52973"
|
||||
|
||||
/*
|
||||
* Domain parameters for secp521r1
|
||||
*/
|
||||
#define SECP521R1_P \
|
||||
"000001FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" \
|
||||
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" \
|
||||
"FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF"
|
||||
#define SECP521R1_B \
|
||||
"00000051953EB9618E1C9A1F929A21A0B68540EEA2DA725B" \
|
||||
"99B315F3B8B489918EF109E156193951EC7E937B1652C0BD" \
|
||||
"3BB1BF073573DF883D2C34F1EF451FD46B503F00"
|
||||
#define SECP521R1_GX \
|
||||
"000000C6858E06B70404E9CD9E3ECB662395B4429C648139" \
|
||||
"053FB521F828AF606B4D3DBAA14B5E77EFE75928FE1DC127" \
|
||||
"A2FFA8DE3348B3C1856A429BF97E7E31C2E5BD66"
|
||||
#define SECP521R1_GY \
|
||||
"0000011839296A789A3BC0045C8A5FB42C7D1BD998F54449" \
|
||||
"579B446817AFBD17273E662C97EE72995EF42640C550B901" \
|
||||
"3FAD0761353C7086A272C24088BE94769FD16650"
|
||||
#define SECP521R1_N \
|
||||
"000001FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF" \
|
||||
"FFFFFFFFFFFFFFFFFFFFFFFA51868783BF2F966B7FCC0148" \
|
||||
"F709A5D03BB5C9B8899C47AEBB6FB71E91386409"
|
||||
|
||||
/*
|
||||
* Domain parameters for brainpoolP256r1 (RFC 5639 3.4)
|
||||
*/
|
||||
#define BP256R1_P \
|
||||
"A9FB57DBA1EEA9BC3E660A909D838D726E3BF623D52620282013481D1F6E5377"
|
||||
#define BP256R1_A \
|
||||
"7D5A0975FC2C3057EEF67530417AFFE7FB8055C126DC5C6CE94A4B44F330B5D9"
|
||||
#define BP256R1_B \
|
||||
"26DC5C6CE94A4B44F330B5D9BBD77CBF958416295CF7E1CE6BCCDC18FF8C07B6"
|
||||
#define BP256R1_GX \
|
||||
"8BD2AEB9CB7E57CB2C4B482FFC81B7AFB9DE27E1E3BD23C23A4453BD9ACE3262"
|
||||
#define BP256R1_GY \
|
||||
"547EF835C3DAC4FD97F8461A14611DC9C27745132DED8E545C1D54C72F046997"
|
||||
#define BP256R1_N \
|
||||
"A9FB57DBA1EEA9BC3E660A909D838D718C397AA3B561A6F7901E0E82974856A7"
|
||||
|
||||
/*
|
||||
* Domain parameters for brainpoolP384r1 (RFC 5639 3.6)
|
||||
*/
|
||||
#define BP384R1_P \
|
||||
"8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B412B1DA197FB711" \
|
||||
"23ACD3A729901D1A71874700133107EC53"
|
||||
#define BP384R1_A \
|
||||
"7BC382C63D8C150C3C72080ACE05AFA0C2BEA28E4FB22787139165EFBA91F9" \
|
||||
"0F8AA5814A503AD4EB04A8C7DD22CE2826"
|
||||
#define BP384R1_B \
|
||||
"04A8C7DD22CE28268B39B55416F0447C2FB77DE107DCD2A62E880EA53EEB62" \
|
||||
"D57CB4390295DBC9943AB78696FA504C11"
|
||||
#define BP384R1_GX \
|
||||
"1D1C64F068CF45FFA2A63A81B7C13F6B8847A3E77EF14FE3DB7FCAFE0CBD10" \
|
||||
"E8E826E03436D646AAEF87B2E247D4AF1E"
|
||||
#define BP384R1_GY \
|
||||
"8ABE1D7520F9C2A45CB1EB8E95CFD55262B70B29FEEC5864E19C054FF99129" \
|
||||
"280E4646217791811142820341263C5315"
|
||||
#define BP384R1_N \
|
||||
"8CB91E82A3386D280F5D6F7E50E641DF152F7109ED5456B31F166E6CAC0425" \
|
||||
"A7CF3AB6AF6B7FC3103B883202E9046565"
|
||||
|
||||
/*
|
||||
* Domain parameters for brainpoolP512r1 (RFC 5639 3.7)
|
||||
*/
|
||||
#define BP512R1_P \
|
||||
"AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308" \
|
||||
"717D4D9B009BC66842AECDA12AE6A380E62881FF2F2D82C68528AA6056583A48F3"
|
||||
#define BP512R1_A \
|
||||
"7830A3318B603B89E2327145AC234CC594CBDD8D3DF91610A83441CAEA9863" \
|
||||
"BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117A72BF2C7B9E7C1AC4D77FC94CA"
|
||||
#define BP512R1_B \
|
||||
"3DF91610A83441CAEA9863BC2DED5D5AA8253AA10A2EF1C98B9AC8B57F1117" \
|
||||
"A72BF2C7B9E7C1AC4D77FC94CADC083E67984050B75EBAE5DD2809BD638016F723"
|
||||
#define BP512R1_GX \
|
||||
"81AEE4BDD82ED9645A21322E9C4C6A9385ED9F70B5D916C1B43B62EEF4D009" \
|
||||
"8EFF3B1F78E2D0D48D50D1687B93B97D5F7C6D5047406A5E688B352209BCB9F822"
|
||||
#define BP512R1_GY \
|
||||
"7DDE385D566332ECC0EABFA9CF7822FDF209F70024A57B1AA000C55B881F81" \
|
||||
"11B2DCDE494A5F485E5BCA4BD88A2763AED1CA2B2FA8F0540678CD1E0F3AD80892"
|
||||
#define BP512R1_N \
|
||||
"AADD9DB8DBE9C48B3FD4E6AE33C9FC07CB308DB3B3C9D20ED6639CCA703308" \
|
||||
"70553E5C414CA92619418661197FAC10471DB1D381085DDADDB58796829CA90069"
|
||||
|
||||
/*
|
||||
* Import an ECP group from ASCII strings, general case (A used)
|
||||
*/
|
||||
static int ecp_group_read_string_gen( ecp_group *grp, int radix,
|
||||
const char *p, const char *a, const char *b,
|
||||
const char *gx, const char *gy, const char *n)
|
||||
{
|
||||
int ret;
|
||||
|
||||
MPI_CHK( mpi_read_string( &grp->P, radix, p ) );
|
||||
MPI_CHK( mpi_read_string( &grp->A, radix, a ) );
|
||||
MPI_CHK( mpi_read_string( &grp->B, radix, b ) );
|
||||
MPI_CHK( ecp_point_read_string( &grp->G, radix, gx, gy ) );
|
||||
MPI_CHK( mpi_read_string( &grp->N, radix, n ) );
|
||||
|
||||
grp->pbits = mpi_msb( &grp->P );
|
||||
grp->nbits = mpi_msb( &grp->N );
|
||||
|
||||
cleanup:
|
||||
if( ret != 0 )
|
||||
ecp_group_free( grp );
|
||||
|
||||
return( ret );
|
||||
}
|
||||
|
||||
#if defined(POLARSSL_ECP_NIST_OPTIM)
|
||||
/* Forward declarations */
|
||||
int ecp_mod_p192( mpi * );
|
||||
int ecp_mod_p224( mpi * );
|
||||
int ecp_mod_p256( mpi * );
|
||||
int ecp_mod_p384( mpi * );
|
||||
int ecp_mod_p521( mpi * );
|
||||
#endif
|
||||
|
||||
/*
|
||||
* Set a group using well-known domain parameters
|
||||
*/
|
||||
int ecp_use_known_dp( ecp_group *grp, ecp_group_id id )
|
||||
{
|
||||
grp->id = id;
|
||||
|
||||
switch( id )
|
||||
{
|
||||
#if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)
|
||||
case POLARSSL_ECP_DP_SECP192R1:
|
||||
#if defined(POLARSSL_ECP_NIST_OPTIM)
|
||||
grp->modp = ecp_mod_p192;
|
||||
#endif
|
||||
return( ecp_group_read_string( grp, 16,
|
||||
SECP192R1_P, SECP192R1_B,
|
||||
SECP192R1_GX, SECP192R1_GY, SECP192R1_N ) );
|
||||
#endif /* POLARSSL_ECP_DP_SECP192R1_ENABLED */
|
||||
|
||||
#if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED)
|
||||
case POLARSSL_ECP_DP_SECP224R1:
|
||||
#if defined(POLARSSL_ECP_NIST_OPTIM)
|
||||
grp->modp = ecp_mod_p224;
|
||||
#endif
|
||||
return( ecp_group_read_string( grp, 16,
|
||||
SECP224R1_P, SECP224R1_B,
|
||||
SECP224R1_GX, SECP224R1_GY, SECP224R1_N ) );
|
||||
#endif /* POLARSSL_ECP_DP_SECP224R1_ENABLED */
|
||||
|
||||
#if defined(POLARSSL_ECP_DP_SECP256R1_ENABLED)
|
||||
case POLARSSL_ECP_DP_SECP256R1:
|
||||
#if defined(POLARSSL_ECP_NIST_OPTIM)
|
||||
grp->modp = ecp_mod_p256;
|
||||
#endif
|
||||
return( ecp_group_read_string( grp, 16,
|
||||
SECP256R1_P, SECP256R1_B,
|
||||
SECP256R1_GX, SECP256R1_GY, SECP256R1_N ) );
|
||||
#endif /* POLARSSL_ECP_DP_SECP256R1_ENABLED */
|
||||
|
||||
#if defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
|
||||
case POLARSSL_ECP_DP_SECP384R1:
|
||||
#if defined(POLARSSL_ECP_NIST_OPTIM)
|
||||
grp->modp = ecp_mod_p384;
|
||||
#endif
|
||||
return( ecp_group_read_string( grp, 16,
|
||||
SECP384R1_P, SECP384R1_B,
|
||||
SECP384R1_GX, SECP384R1_GY, SECP384R1_N ) );
|
||||
#endif /* POLARSSL_ECP_DP_SECP384R1_ENABLED */
|
||||
|
||||
#if defined(POLARSSL_ECP_DP_SECP521R1_ENABLED)
|
||||
case POLARSSL_ECP_DP_SECP521R1:
|
||||
#if defined(POLARSSL_ECP_NIST_OPTIM)
|
||||
grp->modp = ecp_mod_p521;
|
||||
#endif
|
||||
return( ecp_group_read_string( grp, 16,
|
||||
SECP521R1_P, SECP521R1_B,
|
||||
SECP521R1_GX, SECP521R1_GY, SECP521R1_N ) );
|
||||
#endif /* POLARSSL_ECP_DP_SECP521R1_ENABLED */
|
||||
|
||||
#if defined(POLARSSL_ECP_DP_BP256R1_ENABLED)
|
||||
case POLARSSL_ECP_DP_BP256R1:
|
||||
return( ecp_group_read_string_gen( grp, 16,
|
||||
BP256R1_P, BP256R1_A, BP256R1_B,
|
||||
BP256R1_GX, BP256R1_GY, BP256R1_N ) );
|
||||
#endif /* POLARSSL_ECP_DP_BP256R1_ENABLED */
|
||||
|
||||
#if defined(POLARSSL_ECP_DP_BP384R1_ENABLED)
|
||||
case POLARSSL_ECP_DP_BP384R1:
|
||||
return( ecp_group_read_string_gen( grp, 16,
|
||||
BP384R1_P, BP384R1_A, BP384R1_B,
|
||||
BP384R1_GX, BP384R1_GY, BP384R1_N ) );
|
||||
#endif /* POLARSSL_ECP_DP_BP384R1_ENABLED */
|
||||
|
||||
#if defined(POLARSSL_ECP_DP_BP512R1_ENABLED)
|
||||
case POLARSSL_ECP_DP_BP512R1:
|
||||
return( ecp_group_read_string_gen( grp, 16,
|
||||
BP512R1_P, BP512R1_A, BP512R1_B,
|
||||
BP512R1_GX, BP512R1_GY, BP512R1_N ) );
|
||||
#endif /* POLARSSL_ECP_DP_BP512R1_ENABLED */
|
||||
|
||||
default:
|
||||
ecp_group_free( grp );
|
||||
return( POLARSSL_ERR_ECP_FEATURE_UNAVAILABLE );
|
||||
}
|
||||
}
|
||||
|
||||
#if defined(POLARSSL_ECP_NIST_OPTIM)
|
||||
/*
|
||||
* Fast reduction modulo the primes used by the NIST curves.
|
||||
*
|
||||
* These functions are critical for speed, but not needed for correct
|
||||
* operations. So, we make the choice to heavily rely on the internals of our
|
||||
* bignum library, which creates a tight coupling between these functions and
|
||||
* our MPI implementation. However, the coupling between the ECP module and
|
||||
* MPI remains loose, since these functions can be deactivated at will.
|
||||
*/
|
||||
|
||||
#if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)
|
||||
/*
|
||||
* Compared to the way things are presented in FIPS 186-3 D.2,
|
||||
* we proceed in columns, from right (least significant chunk) to left,
|
||||
* adding chunks to N in place, and keeping a carry for the next chunk.
|
||||
* This avoids moving things around in memory, and uselessly adding zeros,
|
||||
* compared to the more straightforward, line-oriented approach.
|
||||
*
|
||||
* For this prime we need to handle data in chunks of 64 bits.
|
||||
* Since this is always a multiple of our basic t_uint, we can
|
||||
* use a t_uint * to designate such a chunk, and small loops to handle it.
|
||||
*/
|
||||
|
||||
/* Add 64-bit chunks (dst += src) and update carry */
|
||||
static inline void add64( t_uint *dst, t_uint *src, t_uint *carry )
|
||||
{
|
||||
unsigned char i;
|
||||
t_uint c = 0;
|
||||
for( i = 0; i < 8 / sizeof( t_uint ); i++, dst++, src++ )
|
||||
{
|
||||
*dst += c; c = ( *dst < c );
|
||||
*dst += *src; c += ( *dst < *src );
|
||||
}
|
||||
*carry += c;
|
||||
}
|
||||
|
||||
/* Add carry to a 64-bit chunk and update carry */
|
||||
static inline void carry64( t_uint *dst, t_uint *carry )
|
||||
{
|
||||
unsigned char i;
|
||||
for( i = 0; i < 8 / sizeof( t_uint ); i++, dst++ )
|
||||
{
|
||||
*dst += *carry;
|
||||
*carry = ( *dst < *carry );
|
||||
}
|
||||
}
|
||||
|
||||
#define WIDTH 8 / sizeof( t_uint )
|
||||
#define A( i ) N->p + i * WIDTH
|
||||
#define ADD( i ) add64( p, A( i ), &c )
|
||||
#define NEXT p += WIDTH; carry64( p, &c )
|
||||
#define LAST p += WIDTH; *p = c; while( ++p < end ) *p = 0
|
||||
|
||||
/*
|
||||
* Fast quasi-reduction modulo p192 (FIPS 186-3 D.2.1)
|
||||
*/
|
||||
int ecp_mod_p192( mpi *N )
|
||||
{
|
||||
int ret;
|
||||
t_uint c = 0;
|
||||
t_uint *p, *end;
|
||||
|
||||
/* Make sure we have enough blocks so that A(5) is legal */
|
||||
MPI_CHK( mpi_grow( N, 6 * WIDTH ) );
|
||||
|
||||
p = N->p;
|
||||
end = p + N->n;
|
||||
|
||||
ADD( 3 ); ADD( 5 ); NEXT; // A0 += A3 + A5
|
||||
ADD( 3 ); ADD( 4 ); ADD( 5 ); NEXT; // A1 += A3 + A4 + A5
|
||||
ADD( 4 ); ADD( 5 ); LAST; // A2 += A4 + A5
|
||||
|
||||
cleanup:
|
||||
return( ret );
|
||||
}
|
||||
|
||||
#undef WIDTH
|
||||
#undef A
|
||||
#undef ADD
|
||||
#undef NEXT
|
||||
#undef LAST
|
||||
#endif /* POLARSSL_ECP_DP_SECP192R1_ENABLED */
|
||||
|
||||
#if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED) || \
|
||||
defined(POLARSSL_ECP_DP_SECP256R1_ENABLED) || \
|
||||
defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
|
||||
/*
|
||||
* The reader is advised to first understand ecp_mod_p192() since the same
|
||||
* general structure is used here, but with additional complications:
|
||||
* (1) chunks of 32 bits, and (2) subtractions.
|
||||
*/
|
||||
|
||||
/*
|
||||
* For these primes, we need to handle data in chunks of 32 bits.
|
||||
* This makes it more complicated if we use 64 bits limbs in MPI,
|
||||
* which prevents us from using a uniform access method as for p192.
|
||||
*
|
||||
* So, we define a mini abstraction layer to access 32 bit chunks,
|
||||
* load them in 'cur' for work, and store them back from 'cur' when done.
|
||||
*
|
||||
* While at it, also define the size of N in terms of 32-bit chunks.
|
||||
*/
|
||||
#define LOAD32 cur = A( i );
|
||||
|
||||
#if defined(POLARSSL_HAVE_INT8) /* 8 bit */
|
||||
|
||||
#define MAX32 N->n / 4
|
||||
#define A( j ) (uint32_t)( N->p[4*j+0] ) | \
|
||||
( N->p[4*j+1] << 8 ) | \
|
||||
( N->p[4*j+2] << 16 ) | \
|
||||
( N->p[4*j+3] << 24 )
|
||||
#define STORE32 N->p[4*i+0] = (t_uint)( cur ); \
|
||||
N->p[4*i+1] = (t_uint)( cur >> 8 ); \
|
||||
N->p[4*i+2] = (t_uint)( cur >> 16 ); \
|
||||
N->p[4*i+3] = (t_uint)( cur >> 24 );
|
||||
|
||||
#elif defined(POLARSSL_HAVE_INT16) /* 16 bit */
|
||||
|
||||
#define MAX32 N->n / 2
|
||||
#define A( j ) (uint32_t)( N->p[2*j] ) | ( N->p[2*j+1] << 16 )
|
||||
#define STORE32 N->p[2*i+0] = (t_uint)( cur ); \
|
||||
N->p[2*i+1] = (t_uint)( cur >> 16 );
|
||||
|
||||
#elif defined(POLARSSL_HAVE_INT32) /* 32 bit */
|
||||
|
||||
#define MAX32 N->n
|
||||
#define A( j ) N->p[j]
|
||||
#define STORE32 N->p[i] = cur;
|
||||
|
||||
#else /* 64-bit */
|
||||
|
||||
#define MAX32 N->n * 2
|
||||
#define A( j ) j % 2 ? (uint32_t)( N->p[j/2] >> 32 ) : (uint32_t)( N->p[j/2] )
|
||||
#define STORE32 \
|
||||
if( i % 2 ) { \
|
||||
N->p[i/2] &= 0x00000000FFFFFFFF; \
|
||||
N->p[i/2] |= ((t_uint) cur) << 32; \
|
||||
} else { \
|
||||
N->p[i/2] &= 0xFFFFFFFF00000000; \
|
||||
N->p[i/2] |= (t_uint) cur; \
|
||||
}
|
||||
|
||||
#endif /* sizeof( t_uint ) */
|
||||
|
||||
/*
|
||||
* Helpers for addition and subtraction of chunks, with signed carry.
|
||||
*/
|
||||
static inline void add32( uint32_t *dst, uint32_t src, signed char *carry )
|
||||
{
|
||||
*dst += src;
|
||||
*carry += ( *dst < src );
|
||||
}
|
||||
|
||||
static inline void sub32( uint32_t *dst, uint32_t src, signed char *carry )
|
||||
{
|
||||
*carry -= ( *dst < src );
|
||||
*dst -= src;
|
||||
}
|
||||
|
||||
#define ADD( j ) add32( &cur, A( j ), &c );
|
||||
#define SUB( j ) sub32( &cur, A( j ), &c );
|
||||
|
||||
/*
|
||||
* Helpers for the main 'loop'
|
||||
* (see fix_negative for the motivation of C)
|
||||
*/
|
||||
#define INIT( b ) \
|
||||
int ret; \
|
||||
signed char c = 0, cc; \
|
||||
uint32_t cur; \
|
||||
size_t i = 0, bits = b; \
|
||||
mpi C; \
|
||||
t_uint Cp[ b / 8 / sizeof( t_uint) + 1 ]; \
|
||||
\
|
||||
C.s = 1; \
|
||||
C.n = b / 8 / sizeof( t_uint) + 1; \
|
||||
C.p = Cp; \
|
||||
memset( Cp, 0, C.n * sizeof( t_uint ) ); \
|
||||
\
|
||||
MPI_CHK( mpi_grow( N, b * 2 / 8 / sizeof( t_uint ) ) ); \
|
||||
LOAD32;
|
||||
|
||||
#define NEXT \
|
||||
STORE32; i++; LOAD32; \
|
||||
cc = c; c = 0; \
|
||||
if( cc < 0 ) \
|
||||
sub32( &cur, -cc, &c ); \
|
||||
else \
|
||||
add32( &cur, cc, &c ); \
|
||||
|
||||
#define LAST \
|
||||
STORE32; i++; \
|
||||
cur = c > 0 ? c : 0; STORE32; \
|
||||
cur = 0; while( ++i < MAX32 ) { STORE32; } \
|
||||
if( c < 0 ) fix_negative( N, c, &C, bits );
|
||||
|
||||
/*
|
||||
* If the result is negative, we get it in the form
|
||||
* c * 2^(bits + 32) + N, with c negative and N positive shorter than 'bits'
|
||||
*/
|
||||
static inline int fix_negative( mpi *N, signed char c, mpi *C, size_t bits )
|
||||
{
|
||||
int ret;
|
||||
|
||||
/* C = - c * 2^(bits + 32) */
|
||||
#if !defined(POLARSSL_HAVE_INT64)
|
||||
((void) bits);
|
||||
#else
|
||||
if( bits == 224 )
|
||||
C->p[ C->n - 1 ] = ((t_uint) -c) << 32;
|
||||
else
|
||||
#endif
|
||||
C->p[ C->n - 1 ] = (t_uint) -c;
|
||||
|
||||
/* N = - ( C - N ) */
|
||||
MPI_CHK( mpi_sub_abs( N, C, N ) );
|
||||
N->s = -1;
|
||||
|
||||
cleanup:
|
||||
|
||||
return( ret );
|
||||
}
|
||||
|
||||
#if defined(POLARSSL_ECP_DP_SECP224R1_ENABLED)
|
||||
/*
|
||||
* Fast quasi-reduction modulo p224 (FIPS 186-3 D.2.2)
|
||||
*/
|
||||
int ecp_mod_p224( mpi *N )
|
||||
{
|
||||
INIT( 224 );
|
||||
|
||||
SUB( 7 ); SUB( 11 ); NEXT; // A0 += -A7 - A11
|
||||
SUB( 8 ); SUB( 12 ); NEXT; // A1 += -A8 - A12
|
||||
SUB( 9 ); SUB( 13 ); NEXT; // A2 += -A9 - A13
|
||||
SUB( 10 ); ADD( 7 ); ADD( 11 ); NEXT; // A3 += -A10 + A7 + A11
|
||||
SUB( 11 ); ADD( 8 ); ADD( 12 ); NEXT; // A4 += -A11 + A8 + A12
|
||||
SUB( 12 ); ADD( 9 ); ADD( 13 ); NEXT; // A5 += -A12 + A9 + A13
|
||||
SUB( 13 ); ADD( 10 ); LAST; // A6 += -A13 + A10
|
||||
|
||||
cleanup:
|
||||
return( ret );
|
||||
}
|
||||
#endif /* POLARSSL_ECP_DP_SECP224R1_ENABLED */
|
||||
|
||||
#if defined(POLARSSL_ECP_DP_SECP256R1_ENABLED)
|
||||
/*
|
||||
* Fast quasi-reduction modulo p256 (FIPS 186-3 D.2.3)
|
||||
*/
|
||||
int ecp_mod_p256( mpi *N )
|
||||
{
|
||||
INIT( 256 );
|
||||
|
||||
ADD( 8 ); ADD( 9 );
|
||||
SUB( 11 ); SUB( 12 ); SUB( 13 ); SUB( 14 ); NEXT; // A0
|
||||
|
||||
ADD( 9 ); ADD( 10 );
|
||||
SUB( 12 ); SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A1
|
||||
|
||||
ADD( 10 ); ADD( 11 );
|
||||
SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A2
|
||||
|
||||
ADD( 11 ); ADD( 11 ); ADD( 12 ); ADD( 12 ); ADD( 13 );
|
||||
SUB( 15 ); SUB( 8 ); SUB( 9 ); NEXT; // A3
|
||||
|
||||
ADD( 12 ); ADD( 12 ); ADD( 13 ); ADD( 13 ); ADD( 14 );
|
||||
SUB( 9 ); SUB( 10 ); NEXT; // A4
|
||||
|
||||
ADD( 13 ); ADD( 13 ); ADD( 14 ); ADD( 14 ); ADD( 15 );
|
||||
SUB( 10 ); SUB( 11 ); NEXT; // A5
|
||||
|
||||
ADD( 14 ); ADD( 14 ); ADD( 15 ); ADD( 15 ); ADD( 14 ); ADD( 13 );
|
||||
SUB( 8 ); SUB( 9 ); NEXT; // A6
|
||||
|
||||
ADD( 15 ); ADD( 15 ); ADD( 15 ); ADD( 8 );
|
||||
SUB( 10 ); SUB( 11 ); SUB( 12 ); SUB( 13 ); LAST; // A7
|
||||
|
||||
cleanup:
|
||||
return( ret );
|
||||
}
|
||||
#endif /* POLARSSL_ECP_DP_SECP256R1_ENABLED */
|
||||
|
||||
#if defined(POLARSSL_ECP_DP_SECP384R1_ENABLED)
|
||||
/*
|
||||
* Fast quasi-reduction modulo p384 (FIPS 186-3 D.2.4)
|
||||
*/
|
||||
int ecp_mod_p384( mpi *N )
|
||||
{
|
||||
INIT( 384 );
|
||||
|
||||
ADD( 12 ); ADD( 21 ); ADD( 20 );
|
||||
SUB( 23 ); NEXT; // A0
|
||||
|
||||
ADD( 13 ); ADD( 22 ); ADD( 23 );
|
||||
SUB( 12 ); SUB( 20 ); NEXT; // A2
|
||||
|
||||
ADD( 14 ); ADD( 23 );
|
||||
SUB( 13 ); SUB( 21 ); NEXT; // A2
|
||||
|
||||
ADD( 15 ); ADD( 12 ); ADD( 20 ); ADD( 21 );
|
||||
SUB( 14 ); SUB( 22 ); SUB( 23 ); NEXT; // A3
|
||||
|
||||
ADD( 21 ); ADD( 21 ); ADD( 16 ); ADD( 13 ); ADD( 12 ); ADD( 20 ); ADD( 22 );
|
||||
SUB( 15 ); SUB( 23 ); SUB( 23 ); NEXT; // A4
|
||||
|
||||
ADD( 22 ); ADD( 22 ); ADD( 17 ); ADD( 14 ); ADD( 13 ); ADD( 21 ); ADD( 23 );
|
||||
SUB( 16 ); NEXT; // A5
|
||||
|
||||
ADD( 23 ); ADD( 23 ); ADD( 18 ); ADD( 15 ); ADD( 14 ); ADD( 22 );
|
||||
SUB( 17 ); NEXT; // A6
|
||||
|
||||
ADD( 19 ); ADD( 16 ); ADD( 15 ); ADD( 23 );
|
||||
SUB( 18 ); NEXT; // A7
|
||||
|
||||
ADD( 20 ); ADD( 17 ); ADD( 16 );
|
||||
SUB( 19 ); NEXT; // A8
|
||||
|
||||
ADD( 21 ); ADD( 18 ); ADD( 17 );
|
||||
SUB( 20 ); NEXT; // A9
|
||||
|
||||
ADD( 22 ); ADD( 19 ); ADD( 18 );
|
||||
SUB( 21 ); NEXT; // A10
|
||||
|
||||
ADD( 23 ); ADD( 20 ); ADD( 19 );
|
||||
SUB( 22 ); LAST; // A11
|
||||
|
||||
cleanup:
|
||||
return( ret );
|
||||
}
|
||||
#endif /* POLARSSL_ECP_DP_SECP384R1_ENABLED */
|
||||
|
||||
#undef A
|
||||
#undef LOAD32
|
||||
#undef STORE32
|
||||
#undef MAX32
|
||||
#undef INIT
|
||||
#undef NEXT
|
||||
#undef LAST
|
||||
|
||||
#endif /* POLARSSL_ECP_DP_SECP224R1_ENABLED ||
|
||||
POLARSSL_ECP_DP_SECP256R1_ENABLED ||
|
||||
POLARSSL_ECP_DP_SECP384R1_ENABLED */
|
||||
|
||||
#if defined(POLARSSL_ECP_DP_SECP521R1_ENABLED)
|
||||
/*
|
||||
* Here we have an actual Mersenne prime, so things are more straightforward.
|
||||
* However, chunks are aligned on a 'weird' boundary (521 bits).
|
||||
*/
|
||||
|
||||
/* Size of p521 in terms of t_uint */
|
||||
#define P521_WIDTH ( 521 / 8 / sizeof( t_uint ) + 1 )
|
||||
|
||||
/* Bits to keep in the most significant t_uint */
|
||||
#if defined(POLARSSL_HAVE_INT8)
|
||||
#define P521_MASK 0x01
|
||||
#else
|
||||
#define P521_MASK 0x01FF
|
||||
#endif
|
||||
|
||||
/*
|
||||
* Fast quasi-reduction modulo p521 (FIPS 186-3 D.2.5)
|
||||
* Write N as A1 + 2^521 A0, return A0 + A1
|
||||
*/
|
||||
int ecp_mod_p521( mpi *N )
|
||||
{
|
||||
int ret;
|
||||
size_t i;
|
||||
mpi M;
|
||||
t_uint Mp[P521_WIDTH + 1];
|
||||
/* Worst case for the size of M is when t_uint is 16 bits:
|
||||
* we need to hold bits 513 to 1056, which is 34 limbs, that is
|
||||
* P521_WIDTH + 1. Otherwise P521_WIDTH is enough. */
|
||||
|
||||
if( N->n < P521_WIDTH )
|
||||
return( 0 );
|
||||
|
||||
/* M = A1 */
|
||||
M.s = 1;
|
||||
M.n = N->n - ( P521_WIDTH - 1 );
|
||||
if( M.n > P521_WIDTH + 1 )
|
||||
M.n = P521_WIDTH + 1;
|
||||
M.p = Mp;
|
||||
memcpy( Mp, N->p + P521_WIDTH - 1, M.n * sizeof( t_uint ) );
|
||||
MPI_CHK( mpi_shift_r( &M, 521 % ( 8 * sizeof( t_uint ) ) ) );
|
||||
|
||||
/* N = A0 */
|
||||
N->p[P521_WIDTH - 1] &= P521_MASK;
|
||||
for( i = P521_WIDTH; i < N->n; i++ )
|
||||
N->p[i] = 0;
|
||||
|
||||
/* N = A0 + A1 */
|
||||
MPI_CHK( mpi_add_abs( N, N, &M ) );
|
||||
|
||||
cleanup:
|
||||
return( ret );
|
||||
}
|
||||
|
||||
#undef P521_WIDTH
|
||||
#undef P521_MASK
|
||||
#endif /* POLARSSL_ECP_DP_SECP521R1_ENABLED */
|
||||
|
||||
#endif /* POLARSSL_ECP_NIST_OPTIM */
|
||||
|
||||
#endif
|
||||
@ -218,6 +218,7 @@
|
||||
<ClCompile Include="..\..\library\ecdh.c" />
|
||||
<ClCompile Include="..\..\library\ecdsa.c" />
|
||||
<ClCompile Include="..\..\library\ecp.c" />
|
||||
<ClCompile Include="..\..\library\ecp_curves.c" />
|
||||
<ClCompile Include="..\..\library\entropy.c" />
|
||||
<ClCompile Include="..\..\library\entropy_poll.c" />
|
||||
<ClCompile Include="..\..\library\error.c" />
|
||||
|
||||
@ -157,6 +157,10 @@ SOURCE=..\..\library\ecp.c
|
||||
# End Source File
|
||||
# Begin Source File
|
||||
|
||||
SOURCE=..\..\library\ecp_curves.c
|
||||
# End Source File
|
||||
# Begin Source File
|
||||
|
||||
SOURCE=..\..\library\entropy.c
|
||||
# End Source File
|
||||
# Begin Source File
|
||||
|
||||
Loading…
x
Reference in New Issue
Block a user