bign256: fix test vectors (#1065)

RustCrypto · Jul 27, 2024 · 7a6e2b9 · 7a6e2b9
1 parent 72540f8
commit 7a6e2b9
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Showing 5 changed files with 125 additions and 149 deletions.
diff --git a/Cargo.lock b/Cargo.lock
diff --git a/bign256/src/ecdsa/signing.rs b/bign256/src/ecdsa/signing.rs
@@ -19,7 +19,7 @@ use crate::{BignP256, FieldBytes, NonZeroScalar, ProjectivePoint, PublicKey, Sca
 use belt_hash::{BeltHash, Digest};
 use core::fmt::{self, Debug};
 use elliptic_curve::{
-    array::{consts::U32, typenum::Unsigned, Array},
+    array::{sizes::U32, typenum::Unsigned, Array},
     ops::{MulByGenerator, Reduce},
     point::AffineCoordinates,
     subtle::{Choice, ConstantTimeEq},

diff --git a/bign256/src/ecdsa/verifying.rs b/bign256/src/ecdsa/verifying.rs
@@ -26,7 +26,7 @@ use belt_hash::{
     BeltHash,
 };
 use elliptic_curve::{
-    array::{consts::U32, typenum::Unsigned, Array},
+    array::{sizes::U32, typenum::Unsigned, Array},
     group::GroupEncoding,
     ops::{LinearCombination, Reduce},
     Curve, Field, Group,

diff --git a/bign256/src/test_vectors/group.rs b/bign256/src/test_vectors/group.rs
@@ -7,6 +7,10 @@ use hex_literal::hex;
 /// These are the first 20 test vectors, generated by sagemath snippet.
 pub const ADD_TEST_VECTORS: &[([u8; 32], [u8; 32])] = &[
     // k = 1,..,20, p += G
+    (
+        hex!("0000000000000000000000000000000000000000000000000000000000000000"),
+        hex!("6BF7FC3CFB16D69F5CE4C9A351D6835D78913966C408F6521E29CF1804516A93"),
+    ),
     (
         hex!("2D8419E3D905D21E3611261DADC95BB35583090C2CADD0C807F53BB3828F0995"),
         hex!("E62690D81BDC754EFAF5B2770054564849621E8A933A7ECD6C02387649CF258A"),
@@ -83,175 +87,151 @@ pub const ADD_TEST_VECTORS: &[([u8; 32], [u8; 32])] = &[
         hex!("1230402EBB4A981C19506708F779C265D1695DF2132F17099D0E54BA1C46D945"),
         hex!("FBB7A79A4E5F631E1FD59501F221FA2FAE93F8E2CD7D4D87E1003324C327EEB7"),
     ),
-    (
-        hex!("006A714979F622DBC2685A296CACA8067694D3ADC75F9F9A97F3BBA424DD2670"),
-        hex!("F4FD78EDF21FB1C4A23DD0B0FFD281FC35184F13D2B5D779DB7253E88097F121"),
-    ),
 ];
 
+// Snippet for generation:
+// p = 2**256 - 189
+// a = 2**256 - 192
+// b = 0x77CE6C1515F3A8EDD2C13AABE4D8FBBE4CF55069978B9253B22E7D6BD69C03F1
+// Gx = 0
+// Gy = 0x6BF7FC3CFB16D69F5CE4C9A351D6835D78913966C408F6521E29CF1804516A93
+// h = 1
+//
+// # Create the finite field and the elliptic curve
+// F = GF(p)
+// E = EllipticCurve(F, [a, b])
+//
+// # Define the base point
+// G = E(Gx, Gy)
+// n = G.order()
+//
+// # Generate test vectors
+// def generate_mul_test_vectors(num_vectors):
+//     vectors = []
+//     for _ in range(num_vectors):
+//         k = ZZ.random_element(1, n)
+//         P = k * G
+//         vectors.append((k, P))
+//     return vectors
+//
+// # Number of test vectors to generate
+// num_vectors = 20
+// test_vectors = generate_mul_test_vectors(num_vectors)
+//
+// # Print the test vectors in the required format
+// for k, P in test_vectors:
+//     k_hex = f"{k:064X}"
+//     Px_hex = f"{int(P[0]):064X}"
+//     Py_hex = f"{int(P[1]):064X}"
+//     print(f'    (')
+//     print(f'        hex!("{k_hex}"),')
+//     print(f'        hex!("{Px_hex}"),')
+//     print(f'        hex!("{Py_hex}"),')
+//     print(f'    ),')
+
 /// Scalar multiplication with the generator.
 ///
 /// These are the test vectors from sagemath snippet,that are not part of [`ADD_TEST_VECTORS`].
-/// k values is from NIST-P256 test vectors
+/// k values is generated randomly
 pub const MUL_TEST_VECTORS: &[([u8; 32], [u8; 32], [u8; 32])] = &[
     (
-        hex!("BCE6EE467AA910ADD6FB47DF33EC4825582596B8C694DB7B403129C9427CF647"),
-        hex!("1D89D067B0EB566FBA7CA700A48AA90026F9584AFAA33139B890BCB21729140E"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
-    ),
-    (
-        hex!("321D9319C3BE889BA0FD29C2E2688ABF39308A712A1D81446ED1ABC789E52CA9"),
-        hex!("E3B297D31A709BCD61B9861069EAEB8162237F970C11245C7E1761E2FC802B7A"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
-    ),
-    (
-        hex!("132175D5AE957336F608DC53257205D81B088C5BDF048AF2C83B47784D70617C"),
-        hex!("1ADF305FCF83BA7C5B035615290644A70D381F50666D9B907673385CBCBD4791"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
-    ),
-    (
-        hex!("BC01F7A6067E4529252C7E6F8F7D6EFA7889B8455ED042F0DE0870B419653658"),
-        hex!("65037BB63611DFE97DC043ED085181A4AA3A0D1D54C77C36135182ACF444265D"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
-    ),
-    (
-        hex!("8E13BE6EAB0F05B8F0C07509DC8C17922B354ED5CF5E88D732E4EE031735319B"),
-        hex!("F0F23BA15E570754D21773E9D7B3D471B239415A29BB23D2C33DB3082D32966D"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
-    ),
-    (
-        hex!("5859FC33184C7A38EE37FA61F13A47C96FF3E2D1A21347DF32297E3A7FA19FCD"),
-        hex!("F37B8AFF67104403A992853E307C988CE8F148E5A5D9F0091B094EC3E11CF0C0"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
-    ),
-    (
-        hex!("1CF0FC9B67C3496E6104C6FE4CFEB03C582D6121E17B27FF5F163697021B1CA3"),
-        hex!("7ED1D7E43E06686AD6A050982927E54894022A55A872165CEDD82F1936800AC9"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
-    ),
-    (
-        hex!("5251712A9696E4D3F4CC1C4B26877C200335311B03C9D53C8FC2ACE8ECECA49C"),
-        hex!("B04C72917AF4AAFA772314D49A2B899CD5D1D4F71FD0F18882050E61CEC361F9"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
-    ),
-    (
-        hex!("7EF4573793DE5E95C749C810952408750B669FBFC4F177C27D74E66B95617258"),
-        hex!("6F7372A2DA5690F539834B9A8DD1910120E148C74F9376391F2DD41F8529DB57"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
-    ),
-    (
-        hex!("85E00E5546713D9F2F5C8E605CA49AA16FA77CE3A3323B463599C31289697E37"),
-        hex!("CC258D7CA2CB8ACD629701844FE26AFE2029E127A59024E9885174E8BC35BB3F"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
-    ),
-    (
-        hex!("796F1AA06F3366EF6C74822CD69D274D73FD7947D99E5A388D87525613C0164F"),
-        hex!("69FB53A5AE70C701BFCE800A78676265E87F3EDF6A1059A438B2A16A291DFEB9"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
-    ),
-    (
-        hex!("660CEBCB17AAC38F454210254037CDE84ED2671B7C6B3531995DFAA478F01F20"),
-        hex!("3E752FDD0749DE0128C2A9237875413FB0C7866E9CD0F86B248272676728B6DF"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
-    ),
-    (
-        hex!("108E86DBB15D670F952C36DDBADC381B7EE06052DED0C1FC369BC721F537BC21"),
-        hex!("35CA247AF507BE8B5FA662AFB35EB9F3DA55CB4E67FF048FA2757EBCF8ABF046"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("CED4907163D8C2250299A2FE6A9D4F8A676501B90D570D50999B9E17FD993DE6"),
+        hex!("7F494925F5EEA6252467D1F97951A3E00ABE75D5DC2E9837BEA227DA4FE93F32"),
+        hex!("7608EB9FF53DB721B99009B60058CD72BD8A1E8CFFDA35154B3B487C0330B6A3"),
     ),
     (
-        hex!("62B8EBD7808F1A50B851D9080984B4A23181AF1CC60F2DE11F80CABBE27E213E"),
-        hex!("52A44CCB834C87D5CAA20C1B42260F9EDC1C30731C2F2F14AE2D52A7AF243794"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("8F70C9391D8143F5A0CC3F56D3132868DE940F01EF55293E61054A0DCDA13C6C"),
+        hex!("96F6FB31F578A3C70402655B4E18FBA6ED82052AE38465D54EF3B392EEB599DB"),
+        hex!("36989A75343AB812BC7EBE61DBBC8433BEF72E994BEFF339F82E9B2FC908977E"),
     ),
     (
-        hex!("DD219D558AF61D9099822705054BA6F23F1378A5F482B1EC5AAD69138065B1D6"),
-        hex!("2C51E0EDE3618C1057E0360BECF3A550FE95E6096B9CD9326C0FEF0B68506859"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("4978C521DD195389ABC5B9C762482FCF1EAD50BF87E1209C744E50AE71596936"),
+        hex!("85DF197A07D0D83B5FDF0021E2494451FFB66127E7CA3645512AAD9DBF86715A"),
+        hex!("C5F6A22BE1583E65A6A1F4CB0309F8FFDD5C0B757FAB111D05AA40DE05D5F724"),
     ),
     (
-        hex!("6C9E47CE0CCA48F4EDB53D0A02459C8D00BC670C82A4D091ADA36A158DB74DCB"),
-        hex!("7896936848785A4CCBBE5B39A3111EB3D36895B4ECDD911F3CBC4F08B0CE0FFC"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("5803E676B9ACA28E76B8F41E8E06DE3063964DF566BC36677A9B02383ABB652C"),
+        hex!("B6DC581C5BBE45D94670577696E3C260C401AF2F16D53E9886EE68993CE4A68B"),
+        hex!("B851D966A2C9DC5EB9CB51893BBC68356E25D70DDEC59A777E85726651114382"),
     ),
     (
-        hex!("A320F2ED3C408FEB68BB456A75E14B943DA7B02B0C8A76A5737DE66F008148C4"),
-        hex!("C6AC14D4F31C17D720AD8A4711BD0DB84D9AE8FC6070289EA1883775D410C690"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("33486286DC0682170C1864E85A38519127246F677AAF74124C2363E223E68E50"),
+        hex!("11106D2AEF58FAA4894185A37F84F8EB01B5173EB9D97EC9A2B59C89654A963B"),
+        hex!("9F9790B9AD5CCE7B491831F8D8B34C5957716351D46BBBB644C5E04899389459"),
     ),
     (
-        hex!("84221BA012EFC0694EC2DDB3B6B003FB92CD329F193D2A0A316050391DF99667"),
-        hex!("E91DA84671D47149BD8343291CB00F4639E90828A005176F58541F2A0DCDF185"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("FAD252070188E443F0C030E7C7ECA079851AA45EC38EA5591205A92BF72E7A8A"),
+        hex!("4F34B166D0F6E21398FDADDF90BD92A9466D5DC84807D12F0B26F63E6A6A6199"),
+        hex!("1B34BD337D078D6E3F0B1757C1EABD6E20C05903B146E307FC103E4C9D98AE86"),
     ),
     (
-        hex!("F4BD16F5E8BE79055EE7B62FF8FE9381A20D2182CCE62CA77C740C7B627C0384"),
-        hex!("38B1E87028B46FF7742999AABB634D713DA2810C159A004E8A2C13CAF2428D96"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("6766501368501B7AECB273B176A1CB1734D10D8D680FA0DFDDD1AC655B9B1B1E"),
+        hex!("9F767B0EA1289232BC18599F54E3EFD3566BBC2F871A5277F8AFD8FAA4676191"),
+        hex!("A8F7B696569B7936C29C46087AC8DB0D22E4B0A98DA2A2E79073304341147EA8"),
     ),
     (
-        hex!("99773AFF98782D076D6D759943BC1F3E9DD57A464E622A7E23ADC96413A55841"),
-        hex!("9BA741511B2EB4465A9CB0B21133A47A1FD9163B7946289C31221EC60E1FF8B5"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("BDE9C057B02F2A875920A93EA7E90E0ACFCFA61B725FF4273AC6EBF8F86D26C1"),
+        hex!("5C707BAD698506E2C8596B88F8D9E438A3CEEB0C513D95F171152522CD6F6BBB"),
+        hex!("AD37F0B3114D548DFE61AF0D2D20A17CF46F5FFA3E42624F0CC49A095AEF0327"),
     ),
     (
-        hex!("1666D4DA3F23A9CF7EB2CE3DEF0ACB5C781F7EF080F169DF887EB39ED0CCBD48"),
-        hex!("C4779DF3C1F5DAAE8C0DB77BE0CF9D49F249647360A867C36A20047CF5D18CDC"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("D818D5F9167D7015E615FA914B43E926113D91F83B430E382337F9D3FE89DB44"),
+        hex!("331C4AEC55CFFBB0F4864532C5B21E5017A093A3848ADD18558D8B1706198E37"),
+        hex!("C4F73684630EA2800C5587AA6B5BAA6ECDB364DAA342D00E88BD79D73BF0DF42"),
     ),
     (
-        hex!("F7D96B2CE1766AC5DF7C0CF5CDE463101334182908635F43F24B61975DE671BF"),
-        hex!("04B069AD735EE63E50AE27E5D7EDD6257134C6E8D8CA3AE3040001A9855682A2"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("C3550F59124BDE3BE6BEC2591D694E2528ED1410678B286DE6F626BF88FE5027"),
+        hex!("9029C4C081273D5708952B6F36428D16F3E0935F79187FE6992C4B494DC114A5"),
+        hex!("5F47621BCEE3C63EB7EF6C7E1B1301BF951928D43F91089CD48DF7B058285291"),
     ),
     (
-        hex!("2F78EF54DD714BA141A893B9DEF9C14AA47900440C8C42ED90AE05D2E8665E21"),
-        hex!("1DDE14D0959610C2966258889FD025666B746765FCA36F6025309026145EFD3A"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("09A2AF8364E9C20C12CD68ADF99C77CFE016D602B29E702AF83233E980DCE1F4"),
+        hex!("C6BA1BB73E92B552D58A7585F4CBC911E05239EBFFED6681AB56C366873A204E"),
+        hex!("25B15BF7B8D3BE06249ACD3CBF928B79E21542FDABB2F3196D8A0561445A632A"),
     ),
     (
-        hex!("3B1514BF33F6EC2C5FEEA324D04F06ECBC516B358400D67B67181029F4AF8AC9"),
-        hex!("0F7917B7EEAF7E7836D5FD8BDB488858CFE2E78BD9FA66757EF4D89BFAA27F69"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("DBC71EB3CEAB0EBE1E4DFC804EF0B64866720EB440A5D09FA017CBC399F62AF2"),
+        hex!("347262446EDF9B71B20CE9FB73CD8211959E8C5D0AC84B1FF3A3A139CA058567"),
+        hex!("9688F4CF75D5B8956DEABDBB420EFCB51B9F0727068B4A6D852B902B135F0A7B"),
     ),
     (
-        hex!("67CC0FDF4E1735A5FCB98168158945DDE241FBA39BE2B35A5CD904CA5EB88A52"),
-        hex!("2C9B912969C98E7B7ED01CCDB9F32951A529BA77F40DC79B2241DA3D6FAD6C00"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("E868A23B0DA36443B119E863657D918FB2783C03191838B67D0D704747AFE887"),
+        hex!("43694CB57D57CF1F8B4145577888AB9A33E45778A2CAFC078A529991269A4BEE"),
+        hex!("6686270715CC7F94C433A4DFC8036D6C3DA4384597AEA7E4DD5685034ACACB49"),
     ),
     (
-        hex!("97C9D36D07BDAA3846CDAE30E68EA4D5A84896A7A94056B4424B08B58E41BB84"),
-        hex!("B528D08C013362D444A9A345570E59B2E5265720B8B4F128ED6700994618990B"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("16763333BC3B7CDE3C19370CC0CECEDE456DF4F4CB1BE13F9BD4E3BCE2BC8F00"),
+        hex!("711AC9EB8D78CAA22CDBC82C8E777D686F22DC6AE236BC90E0A598AF8F720FA7"),
+        hex!("72E338F8D83E1D17A5E5A55D9D26539CFD4EEFC501FDCA6DEF36B8726FF1E85D"),
     ),
     (
-        hex!("AED8D377B262039F5FA3625CBE7DDAD5129B350B9A54CE58B4E51C36DB2355B5"),
-        hex!("8A8B1F284CE3D769477334C6569FCFB6BAE71E8E5E1509873366A7695961B06C"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("47CD1553152E9D5194FCC4BBBD32E98F046A063D64B506E1CE01FF79DA7693E0"),
+        hex!("F34C6657ACF2C1FE67036FA836C82BFBFEBCDF93D22E346CC9049F24B8C512C3"),
+        hex!("B394717C5C37D5A08128588D5922F0798D479D4B900BC29D74EC0C76EB8622EC"),
     ),
     (
-        hex!("5C01A3FEB3B295E76F091B20E652ED48A59F9AEC46CBA86160A96B59BFF6276D"),
-        hex!("502DBD20E1F58654546891CB66480C52155A0A45F7BD2FDE2563F2E0D5F5CD2B"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("09307AFD97C5D3854F3D513B8BA6AE4FE246C46F4A3DFA746492BB4D948E4850"),
+        hex!("C91132EB3ACC4FA84FC8DF11A14FE24C828947F8299696A027E49B57BA5E6F5A"),
+        hex!("BA5BB5DB0F6B5FFC95FCD27F9267D5004FD79539BB3C6345E4C5E5CFDF89A5B6"),
     ),
     (
-        hex!("FA2879ADDCD74E29E049EAAD5279A01987D08EF515693E721572EEF5D0445278"),
-        hex!("332FEE155643CEFD408350C49CC776E1589770F217B2F47389FFBAE3AA8F9DE4"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("C42B1903984390E20C403560927832D02BE36B1C7EE33F1987C5241CAB8A0F63"),
+        hex!("D218ADD38586BD8531F45ACDFDBE8B45D5489A1CCCC8C7AA005A65B07937C96F"),
+        hex!("DDC12E336442E1C7BD369CDF020E7F91C9B367178C212C331A15C9E012355658"),
     ),
     (
-        hex!("D0B331A63DD4815CEF494557A5CA040296E19737E0D84A8AB95C0B7404799584"),
-        hex!("4E982EF880233592068F58E117BE4A13EC544FB10248E10821EE4037A5466C86"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("F368D42DD35F918D4694AED51097784DE1B8F1CD204789B4E018DD36135F0CB4"),
+        hex!("D62675D5E732555270D6427F3C91319B0FC659F88CE45BDFB88C25B77F4BC2BA"),
+        hex!("C4F6ABADC81431C99E4E710F5AECFDE0B7AF4AC95DFB1635692B91EA85F4CBAF"),
     ),
     (
-        hex!("51A0F158FF49D20AE469441FC627516DCB1D1161119A7B9F9531D52C8F26A36A"),
-        hex!("5047FC9B8057392D20057845073F58AF80DE2C1DB80D8C814AFE6C21A4033581"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("B6E9E1F518C801082FCC37B8573A0D4C5E49E65EE7E7577082F024C8A6A3C798"),
+        hex!("6D682C005148718B620D0C169C324C3B407BC6F1125B7623694ED7704E888832"),
+        hex!("0D8C0BB56FBD8174C916955580D27D40F220E27F4C514999EB3D3ADFAAC1C52E"),
     ),
     (
-        hex!("F02838F64C02057A1191C490C51501A5C261A3201A0330E1A31B67FE121C9434"),
-        hex!("172B364C2952F8ED8771B3B152DF85A8039E9F6D7B2669E90078D2D47393902B"),
-        hex!("0000000000000000000000000000000000000000000000000000000000000001"),
+        hex!("B352F9B096B909607E52853CF78FBAC0F106917BD705645AF3DB53E4CAC1868D"),
+        hex!("F8596F4A17518F117120018C537E59AA2AEB66817DC9EEA6EC1E5AABC1A4AB77"),
+        hex!("DDD08D4CA61ED8B7F3F06403134CF0309ECABCD611024CF7C77BE3D8CF8E3610"),
     ),
 ];
diff --git a/bign256/tests/projective.rs b/bign256/tests/projective.rs
@@ -2,27 +2,23 @@
 
 #![cfg(all(feature = "arithmetic", feature = "test-vectors"))]
 
-// TODO(tarcieri): these are failing
-//
-// use bign256::{
-//     test_vectors::group::{ADD_TEST_VECTORS, MUL_TEST_VECTORS},
-//     AffinePoint, ProjectivePoint, Scalar,
-// };
-// use elliptic_curve::{
-//     group::{ff::PrimeField, GroupEncoding},
-//     sec1::{self, ToEncodedPoint},
-// };
-// use primeorder::{impl_projective_arithmetic_tests, Double};
-//
-// impl_projective_arithmetic_tests!(
-//     AffinePoint,
-//     ProjectivePoint,
-//     Scalar,
-//     ADD_TEST_VECTORS,
-//     MUL_TEST_VECTORS
-// );
+use bign256::{
+    test_vectors::group::{ADD_TEST_VECTORS, MUL_TEST_VECTORS},
+    AffinePoint, ProjectivePoint, Scalar,
+};
+use elliptic_curve::{
+    group::{ff::PrimeField, GroupEncoding},
+    sec1::{self, ToEncodedPoint},
+};
+use primeorder::{impl_projective_arithmetic_tests, Double};
 
-use bign256::{elliptic_curve::group::GroupEncoding, ProjectivePoint};
+impl_projective_arithmetic_tests!(
+    AffinePoint,
+    ProjectivePoint,
+    Scalar,
+    ADD_TEST_VECTORS,
+    MUL_TEST_VECTORS
+);
 
 #[test]
 fn projective_identity_to_bytes() {