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path: root/lib/math/test/tan-impl.myr
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use std
use math
use testr

const main = {
	math.fptrap(false)
	testr.run([
		[.name="tan-cot-01", .fn = tancot01], /* flt32 */
		[.name="tan-cot-02", .fn = tancot02], /* flt64 */
		[.name="tan-cot-03", .fn = tancot03], /* off-by-1-ulp quarantine */
		[.name="tan-cot-04", .fn = tancot04], /* exhaustively test C */
		[.name="tan-cot-05", .fn = tancot05], /* NaN handling */
	][:])
}

const same32 = {a, b
	if a == b
		-> true
	;;

	if std.isnan(std.flt32frombits(a)) && std.isnan(std.flt32frombits(b))
		-> true
	;;

	-> false
}

const same64 = {a, b
	if a == b
		-> true
	;;

	if std.isnan(std.flt64frombits(a)) && std.isnan(std.flt64frombits(b))
		-> true
	;;

	-> false
}

const tancot01 = {c
	var inputs : (uint32, uint32, uint32)[:] = [
		(0x00000000, 0x00000000, 0x7f800000),
		(0x80000000, 0x80000000, 0xff800000),
		(0x01000000, 0x01000000, 0x7e000000),
		(0x3c000000, 0x3c0000ab, 0x42fffeab),
		(0x9e95c3a1, 0x9e95c3a1, 0xe05acc1d),
		(0xb77e2471, 0xb77e2471, 0xc780ef84),
		(0xd6fb3787, 0x3fc3e4b0, 0x3f274655),
		(0x73beb86b, 0xc03fdfc0, 0xbeaac75a),
		(0x78e127aa, 0xbd743d4f, 0xc18629d5),
		(0x495cd1f0, 0xc036296b, 0xbeb3e251),
		(0x3f5bddd1, 0x3f9455b7, 0x3f5ce7d8),
		(0xf1a5d464, 0x3faec70a, 0x3f3b7bed),
		(0x4b877ee5, 0xbea1d1b9, 0xc04a7f60),
		(0x91716066, 0x91716066, 0xed87c133),
		(0x78b5b2be, 0xbf33a6ca, 0xbfb665c7),
		(0xd697d28b, 0x3f2a1d37, 0x3fc09fa6),
		(0x2faeb840, 0x2faeb840, 0x4f3b8bcc),
		(0x652c1dfc, 0x3e06264d, 0x40f443bd),
		(0xcc2cba6f, 0x41b5c9c3, 0x3d3440f9),
		(0x7e10c1ed, 0x3f3ae4bf, 0x3faf546b),
		(0xe65e6ac1, 0xbeff4f29, 0xc00058a9),
		(0xa249358f, 0xa249358f, 0xdca2daf9),
		(0xedfabd59, 0x41135f72, 0x3dde58fe),
		(0xe5041607, 0x40162a53, 0x3eda367b),
		(0xe7f766dc, 0x421af490, 0x3cd377a8),
		(0x44ad2e60, 0x3be0be50, 0x4311cd45),
		(0x02c42753, 0x02c42753, 0x7c270d81),
		(0xa6383652, 0xa6383652, 0xd8b1e1bf),
		(0x96b84e4b, 0x96b84e4b, 0xe831ca9c),
		(0x010937a9, 0x010937a9, 0x7deecdb2),
		(0x0a350f6e, 0x0a350f6e, 0x74b4fa79),
		(0xc7aed7a1, 0x3ee7a189, 0x400d7765),
		(0xf59d39e3, 0xbd1aa1aa, 0xc1d3e906),
		(0xf4532cda, 0x3e247e88, 0x40c7345b),
		(0xeec7c1c9, 0xbe7caa4b, 0xc081b07d),
		(0x2c8b7263, 0x2c8b7263, 0x526afc52),
		(0xa7f2d525, 0xa7f2d525, 0xd706f0d2),
		(0x927fced4, 0x927fced4, 0xec80189b),
		(0xe4db95ed, 0x3e092efb, 0x40eedcce),
		(0xfcc97783, 0x3ffc8e75, 0x3f01bec8),
		(0xa5e3ccd3, 0xa5e3ccd3, 0xd90fd86d),
		(0xf4264176, 0x4077503e, 0x3e847eee),
		(0x77c8a8a7, 0x3f261644, 0x3fc54b51),
		(0xf6f29a5e, 0xbef8da53, 0xc003ad1d),
	][:]

	for (x, yt, yc) : inputs
		var xf : flt32 = std.flt32frombits(x)
		var rtf, rcf
		rtf = math.tan(xf)
		rcf = math.cot(xf)

		var rtu = std.flt32bits(rtf)
		var rcu = std.flt32bits(rcf)

		testr.check(c, same32(rtu, yt),
			"tan(0x{b=16,w=8,p=0}) should be 0x{b=16,w=8,p=0}, was 0x{b=16,w=8,p=0}",
			x, yt, rtu)

		testr.check(c, same32(rcu, yc),
			"cot(0x{b=16,w=8,p=0}) should be 0x{b=16,w=8,p=0}, was 0x{b=16,w=8,p=0}",
			x, yc, rcu)
	;;
}

const tancot02 = {c
	var inputs : (uint64, uint64, uint64)[:] = [
		(0x0000000000000000, 0x0000000000000000, 0x7ff0000000000000),
		(0x8000000000000000, 0x8000000000000000, 0xfff0000000000000),
		(0x41bb951f1572eba5, 0xbc8f54f5227a4e84, 0xc35057584c429b3a), /* [GB91]'s "Xhard" */
		(0x5101000000000000, 0xbff4f77bbc53c8f9, 0xbfe86b6d64c43ec0),
		(0x4b01000000000000, 0xbfe96f60bbc6c837, 0xbff421332f057cb5),
		(0xc3a19e952471b77e, 0xbfecc29cbf8278ef, 0xbff1cd6894a73f54),
		(0x3787d6fbb86b73be, 0x3787d6fbb86b73be, 0x48557a09a4de8cf1),
		(0x27aa78e1d1f0495c, 0x27aa78e1d1f0495c, 0x5833574ee69506a6),
		(0x7ee54b8760669171, 0xbfe9c97ba8512160, 0xbff3dadcdaf63a4f),
		(0xb2be78b5d28bd697, 0xb2be78b5d28bd697, 0xcd20cd75656cae19),
		(0xb8402fae1dfc652c, 0xb8402fae1dfc652c, 0xc79fa1bcab9bfa3a),
		(0xba6fcc2cc1ed7e10, 0xba6fcc2cc1ed7e10, 0xc5701a13dad38280),
		(0x6ac1e65e358fa249, 0x3fc7cd0dbfe6d3df, 0x401582ff610d2706),
		(0xbd59edfa1607e504, 0xbd59edfa1607e504, 0xc283beeb209192c9),
		(0x66dce7f72e6044ad, 0x3ff4fbabd2ab23f9, 0x3fe8668db91e9b7e),
		(0x275302c43652a638, 0x275302c43652a638, 0x588aee9adce0c415),
		(0x4e4b96b837a90109, 0xc01f79ba64664aea, 0xbfc04441334c23a7),
		(0x0f6e0a35d7a1c7ae, 0x0f6e0a35d7a1c7ae, 0x70710b440e1aaef5),
		(0x39e3f59d2cdaf453, 0x39e3f59d2cdaf453, 0x45f9a6ebd03c22d5),
		(0xc1c9eec772632c8b, 0x3ff0f7dd116e0647, 0x3fee2c8f34e6790d),
		(0xd525a7f2ced4927f, 0x3ff9b655c6a6b5fe, 0x3fe3e9a613743163),
		(0x95ede4db7783fcc9, 0x95ede4db7783fcc9, 0xe9f1209007b04e55),
		(0xccd3a5e34176f426, 0x3fde5ad1ab611c65, 0x4000de012b1b5082),
		(0xa8a777c89a5ef6f2, 0xa8a777c89a5ef6f2, 0xd735d128ee518a7a),
		(0x0e80d207f7fc1dee, 0x0e80d207f7fc1dee, 0x715e706d3d44d3cb),
		(0xdc3ccf9de59c1620, 0xc025240a96dce158, 0xbfb837f561f3466c),
		(0xc53a12760a738704, 0xbfd33aa6f3b5cde8, 0xc00aa05505b58fed),
		(0x013d7cd6b38fd663, 0x013d7cd6b38fd663, 0x7ea15cfab65b2026),
		(0x24c9826368e2bab6, 0x24c9826368e2bab6, 0x5b141232d64139ff),
		(0x673ee065b77f3411, 0xc002680c95540481, 0xbfdbd0fc321d37ee),
		(0x8648f8f528372eef, 0x8648f8f528372eef, 0xf99480a7cbbaf84f),
		(0x70bdc29525e17f3d, 0xbfcab0378314cf75, 0xc0132f3505ba9e89),
		(0x949d1ddd9d2c70d9, 0x949d1ddd9d2c70d9, 0xeb41959d6300f232),
		(0xed7a82c886f9b2b5, 0xbffc586c9dee2029, 0xbfe210199dcba8ea),
		(0x953f916c39b9967c, 0x953f916c39b9967c, 0xeaa0380b8daa847f),
		(0x0e43ed486cdf330c, 0x0e43ed486cdf330c, 0x7199b1a551a932e8),
		(0xb626a5410afb3c6e, 0xb626a5410afb3c6e, 0xc9b69bfcb4e83197),
		(0x9e3633326b5d0ef3, 0x9e3633326b5d0ef3, 0xe1a71025b63c78d7),
		(0xf5c8913f8e308a65, 0xbfcb0c899ca207ec, 0xc012edba9bf64e3d),
		(0xaf1c2b5cfb3e9c97, 0xaf1c2b5cfb3e9c97, 0xd0c22cfe8b4e4af6),
		(0xae2582384f4c4364, 0xae2582384f4c4364, 0xd1b7cdea08fb3afc),
		(0x13a48905d9e021e7, 0x13a48905d9e021e7, 0x6c38eec83f657958),
		(0x764d46c054f3e5f8, 0xc00236c5e85323a3, 0xbfdc1c3d52cfee80),
		(0x1c8142b5bce1d2a8, 0x1c8142b5bce1d2a8, 0x635da9b7849a7998),
	][:]

var n = 0
	for (x, yt, yc) : inputs
n++
		var xf : flt64 = std.flt64frombits(x)
		var rtf, rcf
		rtf = math.tan(xf)
		rcf = math.cot(xf)

		var rtu = std.flt64bits(rtf)
		var rcu = std.flt64bits(rcf)

		testr.check(c, same64(rtu, yt),
			"tan(0x{b=16,w=16,p=0}) should be 0x{b=16,w=16,p=0}, was 0x{b=16,w=16,p=0}",
			x, yt, rtu)

		testr.check(c, same64(rcu, yc),
			"cot(0x{b=16,w=16,p=0}) should be 0x{b=16,w=16,p=0}, was 0x{b=16,w=16,p=0}",
			x, yc, rcu)
	;;
}

const tancot03 = {c
	var inputs : (uint64, uint64, uint64, uint64, uint64)[:] = [
		(0xf83b13a6a142b6d5, 0xbf5a86f73542c78a, 0xc0834d0a344cbe85, 0xbf5a86f73542c789, 0xc0834d0a344cbe85),
		(0x3f80000000000000, 0x3f800015557777af, 0x405fffd55549f49b, 0x3f800015557777af, 0x405fffd55549f49a),
		(0x77709d0579b8480f, 0x40657b00018b5542, 0x3f77d5ea4c97113d, 0x40657b00018b5543, 0x3f77d5ea4c97113d),
		(0xd5de89ca329a1145, 0x4068d90e2dd81e00, 0x3f749afa8f6b9cf9, 0x4068d90e2dd81e00, 0x3f749afa8f6b9cf8),
	][:]

	for (x, yt_perfect, yc_perfect, yt_acceptable, yc_acceptable) : inputs
		var xf : flt64 = std.flt64frombits(x)
		var rtf, rcf
		rtf = math.tan(xf)
		rcf = math.cot(xf)

		var rtu = std.flt64bits(rtf)
		var rcu = std.flt64bits(rcf)

		testr.check(c, (same64(rtu, yt_perfect) || same64(rtu, yt_acceptable)),
			"tan(0x{b=16,w=16,p=0}) should be 0x{b=16,w=16,p=0}, will also accept 0x{b=16,w=16,p=0}, was 0x{b=16,w=16,p=0}",
			x, yt_perfect, yt_acceptable, rtu)

		testr.check(c, (same64(rcu, yc_perfect) || same64(rcu, yc_acceptable)),
			"cot(0x{b=16,w=16,p=0}) should be 0x{b=16,w=16,p=0}, will also accept 0x{b=16,w=16,p=0}, was 0x{b=16,w=16,p=0}",
			x, yc_perfect, yc_acceptable, rcu)
	;;
}

const tancot04 = {c
	/*
	   There should be one of these for each j, each corresponding
	   to the appropriate xi. This should ensure that, when
	   upgrading the C tables, things don't get too terribly
	   broken.
	 */
	var inputs : (uint64, uint64, uint64)[:] = [
		(0x3c79565a4a53b896, 0x3c79565a4a53b896, 0x43643514e5e6151d), /* j = 0 */
		(0x521071413389fce0, 0xc069c888b4021d3b, 0xbf73db97f25fd281),
		(0xbf7c2388653f944a, 0xbf7c23a56814d6a2, 0xc06231fa9c94d936),
		(0x503ece41b1165990, 0x40564720618519f6, 0x3f86fb83eb45eb36),
		(0xf549b46989519196, 0x405362a6d937767d, 0x3f8a6964419f2412),
		(0xcd512459433a0231, 0x3f91b4eac5967922, 0x404cea6483e23c58),
		(0xcaf4adbc5ee7cd89, 0xc0483c7c5380436e, 0xbf952017aadab226),
		(0x475f423e817765ea, 0xbf96b5919e08c282, 0xc0468bbe82b62f6c),
		(0xfcf1de6e51eb3a2a, 0xbf9a4811a09dd560, 0xc0437b3b137bbcbf),
		(0x6d2a3c2098179905, 0x3f9f1551031330ae, 0x404078cd715b3aff),
		(0x62e01a08ac6db91f, 0x403e0e0bcee51c2c, 0x3fa109172f8fb6e5),
		(0x5516368407fe18ac, 0xbfa2a9ddeb41fdb2, 0xc03b6ee3c2e19447),
		(0x5c7c4e1923c950ec, 0x403a340e131a9b8c, 0x3fa38a1c47557d66),
		(0x52924d2cbb5901d1, 0x3fa490894ccf2c23, 0x4038e5ac3c9ea8a7),
		(0x77352e83554977a2, 0x3fa741604124d6ca, 0x40360433cfc3b416),
		(0xeab236c01f08c19f, 0x4034ed5f1b1f4d57, 0x3fa8773a05bad8e8),
		(0x54b55622172ba5a0, 0x3faa765b3f6b8f73, 0x40335927794e9bd3),
		(0xda739024569252ce, 0x40326751a22b67ca, 0x3fabd216c378b36d),
		(0xdb96494b55f3f081, 0xc0314440acaa21e0, 0xbfada7110aa502e2),
		(0x5a446ae100d4ad56, 0x40308389b1b086a8, 0x3faf011c18275726),
		(0x447aa716086a8c88, 0xbfb0675ddd971236, 0xc02f365afa1f8a00),
		(0xf968280b3a414e54, 0x3fb138c1ea322780, 0x402dbadbee341cac),
		(0x79a51c7ac9f069e8, 0x402d72743ce098d6, 0x3fb1631a402c8bcd),
		(0x60ffe411eafbc6da, 0x3fb251a2b23e2026, 0x402bf304e674f736),
		(0x4f318e7d4aea96dc, 0xc02a0caf0e7cbf34, 0xbfb3a7a47204e201),
		(0xc404978c116309d8, 0x3fb433de58d623c0, 0x402957dfc56925ab),
		(0xe66830cbfd75b885, 0x4028733a310ce62e, 0x3fb4f0cb6b3bb391),
		(0x5aa8e5159f4c635a, 0xc027399eacbe42ec, 0xbfb60b8e0f2a47b3),
		(0xc0197a1d458871ce, 0xbfb616745039ebcf, 0xc0272e28bde38084),
		(0xfec0c7c70c5fef38, 0x3fb74390e9cea2bf, 0x4026022137bd7bbb),
		(0x536118c6d0da429d, 0xbfb82e815bcb8454, 0xc0252c4e4ad03fb7),
		(0xc0c5332662ea8467, 0xbfb8fb3bbbe9507a, 0xc0247ec9aabe16a4),
		(0x640531fd736dc271, 0x3fb9ed0fe38c96f4, 0x4023bf9d7f18200a),
		(0x4223b2a56016896f, 0x3fbaa24c8e7074dc, 0x4023393b6983f060),
		(0xe47b0287f9f402c4, 0xbfbb77a83aebd88c, 0xc022a3e8d92ebb66),
		(0x720e26846afc74a5, 0xbfbbdb0ae1cd9bfc, 0xc02261674852b84a),
		(0x6e03d54eae350b2b, 0x3fbc6d5994a2db4d, 0x402202cdbfabb7c2),
		(0xe223c42c81a9e6a1, 0x3fbde6dc34d255c1, 0x40211f6a57a2ab8b),
		(0xf5b0b388d525a652, 0xbfbe3c30082a93b9, 0xc020ef17c4c56fb5),
		(0xc872046ad7b74e5d, 0x40207f837f2bb080, 0x3fbf08ac1c355dae),
		(0x69df9989dca89d7f, 0x401fbfeee53b8ab8, 0x3fc0204931062ab3),
		(0xcc324b95dbc8fd01, 0xbfc09375925b4df4, 0xc01ee3546f5cc75d),
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		(0x74e6629d161dcdf0, 0x3ff2a9b9289117f3, 0x3feb6f19cbe183c1),
		(0xc831ccafeb5988ca, 0xbfeba1b7e0c9a4be, 0xbff2878906543222),
		(0x4c6c1ddb028d0a24, 0xbfebda5d682a67dc, 0xbff261d9c2b6d631),
		(0x50ddbc2d3d77331b, 0x3fec1c6fa9dfd3f2, 0x3ff236a54a6f7473),
		(0x7f475a5c2b07cd78, 0xbff225167cb98c22, 0xbfec37a3454ef052),
		(0xfbb16b339d0a17fe, 0x3fec729712255b64, 0x3ff1ff7c6a466364),
		(0xfe93c58449c8fd51, 0xbff1f86c842db0af, 0xbfec7dc50581afe9),
		(0xe125d9535e1d7d96, 0xbfecd23da36c0bcc, 0xbff1c3c14d3af49c),
		(0xe9492784719b40f6, 0xbff1b3f3088363ee, 0xbfecebf92a8f36c0),
		(0x76693dbf45a5c11c, 0x3ff18e43bdf45f9b, 0x3fed2a0e601005bf),
		(0x4815c52cf555dcc6, 0xbff17e592952677b, 0xbfed44974ac6a894),
		(0x49147fcad588e154, 0xbff15f3dded8be9a, 0xbfed78ffa064b041),
		(0x65cec0767168cebc, 0x3ff152b06f8600d4, 0x3fed8e5ad53d0ccb),
		(0x7c5a50d620432646, 0xbff125f49b9c4132, 0xbfeddb74c0de0fdb),
		(0xc394901bb60cd165, 0xbfee0cf91359537e, 0xbff109b2ee01353b),
		(0xefe39e4669e6b8e3, 0x3fee1d1c905094f4, 0x3ff100916565e23e),
		(0x6606d5cab1344ed4, 0xbfee6a547b6e0341, 0xbff0d5671b0a47dc),
		(0xe151f4cddef4501f, 0x3ff0ba872431bfa7, 0x3fee9b315f5e68d6),
		(0xdbeb6637b76e98b6, 0xbfeec87a200cacbf, 0xbff0a1eb3b8b38a8),
		(0x4de08bca51af503b, 0x3ff0935cf27fb96c, 0x3feee382525684bd),
		(0x43ba67829cbf5ddd, 0x3fef18839c0e31e2, 0x3ff0771bd1cb28aa),
		(0x51c3d8b11e8e3186, 0x3fef59e0cd085215, 0x3ff054c7b82fd1b6),
		(0x762158955b8d3e1f, 0xbfef981ac2ad0844, 0xbff0349d725d26aa),
		(0x6b4a97418aacc176, 0xbfefbb6cc26e10da, 0xbff02293b7c89d69),
		(0xdf22beeedddcdfc1, 0xbfefe7a8fffac117, 0xbff00c34c8c8b9e2),
	][:]

	for (x, yt, yc) : inputs
		var xf : flt64 = std.flt64frombits(x)
		var rtf, rcf
		rtf = math.tan(xf)
		rcf = math.cot(xf)

		var rtu = std.flt64bits(rtf)
		var rcu = std.flt64bits(rcf)

		testr.check(c, same64(rtu, yt),
			"tan(0x{b=16,w=16,p=0}) should be 0x{b=16,w=16,p=0}, was 0x{b=16,w=16,p=0}",
			x, yt, rtu)

		testr.check(c, same64(rcu, yc),
			"cot(0x{b=16,w=16,p=0}) should be 0x{b=16,w=16,p=0}, was 0x{b=16,w=16,p=0}",
			x, yc, rcu)
	;;

}

const tancot05 = {c
	testr.check(c, std.isnan(math.cot(std.flt64nan())), "cot(NaN64) should be NaN")
	testr.check(c, std.isnan(math.tan(std.flt64nan())), "tan(NaN64) should be NaN")
	testr.check(c, std.isnan(math.cot(std.flt32nan())), "cot(NaN32) should be NaN")
	testr.check(c, std.isnan(math.tan(std.flt32nan())), "tan(NaN32) should be NaN")
}