module strconv

/*
atof util

Copyright (c) 2019 Dario Deledda. All rights reserved.
Use of this source code is governed by an MIT license
that can be found in the LICENSE file.

This file contains utilities for convert a string in a f64 variable in a very quick way
IEEE 754 standard is used

Know limitation:
- round to 0 approximation
- loos of precision with big exponents
*/

// atof_quick return a f64 number from a string in a quick way
[direct_array_access]
pub fn atof_quick(s string) f64 {
	mut f := Float64u{} // result
	mut sign := f64(1.0) // result sign
	mut i := 0 // index
	// skip white spaces
	for i < s.len && s[i] == ` ` {
		i++
	}
	// check sign
	if i < s.len {
		if s[i] == `-` {
			sign = -1.0
			i++
		} else if s[i] == `+` {
			i++
		}
	}
	// infinite
	if s[i] == `i` && i + 2 < s.len && s[i + 1] == `n` && s[i + 2] == `f` {
		if sign > 0.0 {
			f.u = double_plus_infinity
		} else {
			f.u = double_minus_infinity
		}
		return unsafe { f.f }
	}
	// skip zeros
	for i < s.len && s[i] == `0` {
		i++
		// we have a zero, manage it
		if i >= s.len {
			if sign > 0.0 {
				f.u = double_plus_zero
			} else {
				f.u = double_minus_zero
			}
			return unsafe { f.f }
		}
	}
	// integer part
	for i < s.len && (s[i] >= `0` && s[i] <= `9`) {
		f.f *= f64(10.0)
		f.f += f64(s[i] - `0`)
		i++
	}
	// decimal point
	if i < s.len && s[i] == `.` {
		i++
		mut frac_mul := f64(0.1)
		for i < s.len && (s[i] >= `0` && s[i] <= `9`) {
			f.f += f64(s[i] - `0`) * frac_mul
			frac_mul *= f64(0.1)
			i++
		}
	}
	// exponent management
	if i < s.len && (s[i] == `e` || s[i] == `E`) {
		i++
		mut exp := 0
		mut exp_sign := 1
		// negative exponent
		if i < s.len {
			if s[i] == `-` {
				exp_sign = -1
				i++
			} else if s[i] == `+` {
				i++
			}
		}
		// skip zeros
		for i < s.len && s[i] == `0` {
			i++
		}
		for i < s.len && (s[i] >= `0` && s[i] <= `9`) {
			exp *= 10
			exp += int(s[i] - `0`)
			i++
		}
		if exp_sign == 1 {
			if exp > strconv.pos_exp.len {
				if sign > 0 {
					f.u = double_plus_infinity
				} else {
					f.u = double_minus_infinity
				}
				return unsafe { f.f }
			}
			tmp_mul := Float64u{
				u: strconv.pos_exp[exp]
			}
			// C.printf("exp: %d  [0x%016llx] %f,",exp,pos_exp[exp],tmp_mul)
			f.f = unsafe { f.f * tmp_mul.f }
		} else {
			if exp > strconv.neg_exp.len {
				if sign > 0 {
					f.u = double_plus_zero
				} else {
					f.u = double_minus_zero
				}
				return unsafe { f.f }
			}
			tmp_mul := Float64u{
				u: strconv.neg_exp[exp]
			}

			// C.printf("exp: %d  [0x%016llx] %f,",exp,pos_exp[exp],tmp_mul)
			f.f = unsafe { f.f * tmp_mul.f }
		}
	}
	unsafe {
		f.f = f.f * sign
		return f.f
	}
}

const (
	// positive exp of 10 binary form
	pos_exp = [u64(0x3ff0000000000000), u64(0x4024000000000000), u64(0x4059000000000000),
		u64(0x408f400000000000), u64(0x40c3880000000000), u64(0x40f86a0000000000),
		u64(0x412e848000000000), u64(0x416312d000000000), u64(0x4197d78400000000),
		u64(0x41cdcd6500000000), u64(0x4202a05f20000000), u64(0x42374876e8000000),
		u64(0x426d1a94a2000000), u64(0x42a2309ce5400000), u64(0x42d6bcc41e900000),
		u64(0x430c6bf526340000), u64(0x4341c37937e08000), u64(0x4376345785d8a000),
		u64(0x43abc16d674ec800), u64(0x43e158e460913d00), u64(0x4415af1d78b58c40),
		u64(0x444b1ae4d6e2ef50), u64(0x4480f0cf064dd592), u64(0x44b52d02c7e14af6),
		u64(0x44ea784379d99db4), u64(0x45208b2a2c280291), u64(0x4554adf4b7320335),
		u64(0x4589d971e4fe8402), u64(0x45c027e72f1f1281), u64(0x45f431e0fae6d721),
		u64(0x46293e5939a08cea), u64(0x465f8def8808b024), u64(0x4693b8b5b5056e17),
		u64(0x46c8a6e32246c99c), u64(0x46fed09bead87c03), u64(0x4733426172c74d82),
		u64(0x476812f9cf7920e3), u64(0x479e17b84357691b), u64(0x47d2ced32a16a1b1),
		u64(0x48078287f49c4a1d), u64(0x483d6329f1c35ca5), u64(0x48725dfa371a19e7),
		u64(0x48a6f578c4e0a061), u64(0x48dcb2d6f618c879), u64(0x4911efc659cf7d4c),
		u64(0x49466bb7f0435c9e), u64(0x497c06a5ec5433c6), u64(0x49b18427b3b4a05c),
		u64(0x49e5e531a0a1c873), u64(0x4a1b5e7e08ca3a8f), u64(0x4a511b0ec57e649a),
		u64(0x4a8561d276ddfdc0), u64(0x4ababa4714957d30), u64(0x4af0b46c6cdd6e3e),
		u64(0x4b24e1878814c9ce), u64(0x4b5a19e96a19fc41), u64(0x4b905031e2503da9),
		u64(0x4bc4643e5ae44d13), u64(0x4bf97d4df19d6057), u64(0x4c2fdca16e04b86d),
		u64(0x4c63e9e4e4c2f344), u64(0x4c98e45e1df3b015), u64(0x4ccf1d75a5709c1b),
		u64(0x4d03726987666191), u64(0x4d384f03e93ff9f5), u64(0x4d6e62c4e38ff872),
		u64(0x4da2fdbb0e39fb47), u64(0x4dd7bd29d1c87a19), u64(0x4e0dac74463a989f),
		u64(0x4e428bc8abe49f64), u64(0x4e772ebad6ddc73d), u64(0x4eacfa698c95390c),
		u64(0x4ee21c81f7dd43a7), u64(0x4f16a3a275d49491), u64(0x4f4c4c8b1349b9b5),
		u64(0x4f81afd6ec0e1411), u64(0x4fb61bcca7119916), u64(0x4feba2bfd0d5ff5b),
		u64(0x502145b7e285bf99), u64(0x50559725db272f7f), u64(0x508afcef51f0fb5f),
		u64(0x50c0de1593369d1b), u64(0x50f5159af8044462), u64(0x512a5b01b605557b),
		u64(0x516078e111c3556d), u64(0x5194971956342ac8), u64(0x51c9bcdfabc1357a),
		u64(0x5200160bcb58c16c), u64(0x52341b8ebe2ef1c7), u64(0x526922726dbaae39),
		u64(0x529f6b0f092959c7), u64(0x52d3a2e965b9d81d), u64(0x53088ba3bf284e24),
		u64(0x533eae8caef261ad), u64(0x53732d17ed577d0c), u64(0x53a7f85de8ad5c4f),
		u64(0x53ddf67562d8b363), u64(0x5412ba095dc7701e), u64(0x5447688bb5394c25),
		u64(0x547d42aea2879f2e), u64(0x54b249ad2594c37d), u64(0x54e6dc186ef9f45c),
		u64(0x551c931e8ab87173), u64(0x5551dbf316b346e8), u64(0x558652efdc6018a2),
		u64(0x55bbe7abd3781eca), u64(0x55f170cb642b133f), u64(0x5625ccfe3d35d80e),
		u64(0x565b403dcc834e12), u64(0x569108269fd210cb), u64(0x56c54a3047c694fe),
		u64(0x56fa9cbc59b83a3d), u64(0x5730a1f5b8132466), u64(0x5764ca732617ed80),
		u64(0x5799fd0fef9de8e0), u64(0x57d03e29f5c2b18c), u64(0x58044db473335def),
		u64(0x583961219000356b), u64(0x586fb969f40042c5), u64(0x58a3d3e2388029bb),
		u64(0x58d8c8dac6a0342a), u64(0x590efb1178484135), u64(0x59435ceaeb2d28c1),
		u64(0x59783425a5f872f1), u64(0x59ae412f0f768fad), u64(0x59e2e8bd69aa19cc),
		u64(0x5a17a2ecc414a03f), u64(0x5a4d8ba7f519c84f), u64(0x5a827748f9301d32),
		u64(0x5ab7151b377c247e), u64(0x5aecda62055b2d9e), u64(0x5b22087d4358fc82),
		u64(0x5b568a9c942f3ba3), u64(0x5b8c2d43b93b0a8c), u64(0x5bc19c4a53c4e697),
		u64(0x5bf6035ce8b6203d), u64(0x5c2b843422e3a84d), u64(0x5c6132a095ce4930),
		u64(0x5c957f48bb41db7c), u64(0x5ccadf1aea12525b), u64(0x5d00cb70d24b7379),
		u64(0x5d34fe4d06de5057), u64(0x5d6a3de04895e46d), u64(0x5da066ac2d5daec4),
		u64(0x5dd4805738b51a75), u64(0x5e09a06d06e26112), u64(0x5e400444244d7cab),
		u64(0x5e7405552d60dbd6), u64(0x5ea906aa78b912cc), u64(0x5edf485516e7577f),
		u64(0x5f138d352e5096af), u64(0x5f48708279e4bc5b), u64(0x5f7e8ca3185deb72),
		u64(0x5fb317e5ef3ab327), u64(0x5fe7dddf6b095ff1), u64(0x601dd55745cbb7ed),
		u64(0x6052a5568b9f52f4), u64(0x60874eac2e8727b1), u64(0x60bd22573a28f19d),
		u64(0x60f2357684599702), u64(0x6126c2d4256ffcc3), u64(0x615c73892ecbfbf4),
		u64(0x6191c835bd3f7d78), u64(0x61c63a432c8f5cd6), u64(0x61fbc8d3f7b3340c),
		u64(0x62315d847ad00087), u64(0x6265b4e5998400a9), u64(0x629b221effe500d4),
		u64(0x62d0f5535fef2084), u64(0x630532a837eae8a5), u64(0x633a7f5245e5a2cf),
		u64(0x63708f936baf85c1), u64(0x63a4b378469b6732), u64(0x63d9e056584240fe),
		u64(0x64102c35f729689f), u64(0x6444374374f3c2c6), u64(0x647945145230b378),
		u64(0x64af965966bce056), u64(0x64e3bdf7e0360c36), u64(0x6518ad75d8438f43),
		u64(0x654ed8d34e547314), u64(0x6583478410f4c7ec), u64(0x65b819651531f9e8),
		u64(0x65ee1fbe5a7e7861), u64(0x6622d3d6f88f0b3d), u64(0x665788ccb6b2ce0c),
		u64(0x668d6affe45f818f), u64(0x66c262dfeebbb0f9), u64(0x66f6fb97ea6a9d38),
		u64(0x672cba7de5054486), u64(0x6761f48eaf234ad4), u64(0x679671b25aec1d89),
		u64(0x67cc0e1ef1a724eb), u64(0x680188d357087713), u64(0x6835eb082cca94d7),
		u64(0x686b65ca37fd3a0d), u64(0x68a11f9e62fe4448), u64(0x68d56785fbbdd55a),
		u64(0x690ac1677aad4ab1), u64(0x6940b8e0acac4eaf), u64(0x6974e718d7d7625a),
		u64(0x69aa20df0dcd3af1), u64(0x69e0548b68a044d6), u64(0x6a1469ae42c8560c),
		u64(0x6a498419d37a6b8f), u64(0x6a7fe52048590673), u64(0x6ab3ef342d37a408),
		u64(0x6ae8eb0138858d0a), u64(0x6b1f25c186a6f04c), u64(0x6b537798f4285630),
		u64(0x6b88557f31326bbb), u64(0x6bbe6adefd7f06aa), u64(0x6bf302cb5e6f642a),
		u64(0x6c27c37e360b3d35), u64(0x6c5db45dc38e0c82), u64(0x6c9290ba9a38c7d1),
		u64(0x6cc734e940c6f9c6), u64(0x6cfd022390f8b837), u64(0x6d3221563a9b7323),
		u64(0x6d66a9abc9424feb), u64(0x6d9c5416bb92e3e6), u64(0x6dd1b48e353bce70),
		u64(0x6e0621b1c28ac20c), u64(0x6e3baa1e332d728f), u64(0x6e714a52dffc6799),
		u64(0x6ea59ce797fb817f), u64(0x6edb04217dfa61df), u64(0x6f10e294eebc7d2c),
		u64(0x6f451b3a2a6b9c76), u64(0x6f7a6208b5068394), u64(0x6fb07d457124123d),
		u64(0x6fe49c96cd6d16cc), u64(0x7019c3bc80c85c7f), u64(0x70501a55d07d39cf),
		u64(0x708420eb449c8843), u64(0x70b9292615c3aa54), u64(0x70ef736f9b3494e9),
		u64(0x7123a825c100dd11), u64(0x7158922f31411456), u64(0x718eb6bafd91596b),
		u64(0x71c33234de7ad7e3), u64(0x71f7fec216198ddc), u64(0x722dfe729b9ff153),
		u64(0x7262bf07a143f6d4), u64(0x72976ec98994f489), u64(0x72cd4a7bebfa31ab),
		u64(0x73024e8d737c5f0b), u64(0x7336e230d05b76cd), u64(0x736c9abd04725481),
		u64(0x73a1e0b622c774d0), u64(0x73d658e3ab795204), u64(0x740bef1c9657a686),
		u64(0x74417571ddf6c814), u64(0x7475d2ce55747a18), u64(0x74ab4781ead1989e),
		u64(0x74e10cb132c2ff63), u64(0x75154fdd7f73bf3c), u64(0x754aa3d4df50af0b),
		u64(0x7580a6650b926d67), u64(0x75b4cffe4e7708c0), u64(0x75ea03fde214caf1),
		u64(0x7620427ead4cfed6), u64(0x7654531e58a03e8c), u64(0x768967e5eec84e2f),
		u64(0x76bfc1df6a7a61bb), u64(0x76f3d92ba28c7d15), u64(0x7728cf768b2f9c5a),
		u64(0x775f03542dfb8370), u64(0x779362149cbd3226), u64(0x77c83a99c3ec7eb0),
		u64(0x77fe494034e79e5c), u64(0x7832edc82110c2f9), u64(0x7867a93a2954f3b8),
		u64(0x789d9388b3aa30a5), u64(0x78d27c35704a5e67), u64(0x79071b42cc5cf601),
		u64(0x793ce2137f743382), u64(0x79720d4c2fa8a031), u64(0x79a6909f3b92c83d),
		u64(0x79dc34c70a777a4d), u64(0x7a11a0fc668aac70), u64(0x7a46093b802d578c),
		u64(0x7a7b8b8a6038ad6f), u64(0x7ab137367c236c65), u64(0x7ae585041b2c477f),
		u64(0x7b1ae64521f7595e), u64(0x7b50cfeb353a97db), u64(0x7b8503e602893dd2),
		u64(0x7bba44df832b8d46), u64(0x7bf06b0bb1fb384c), u64(0x7c2485ce9e7a065f),
		u64(0x7c59a742461887f6), u64(0x7c9008896bcf54fa), u64(0x7cc40aabc6c32a38),
		u64(0x7cf90d56b873f4c7), u64(0x7d2f50ac6690f1f8), u64(0x7d63926bc01a973b),
		u64(0x7d987706b0213d0a), u64(0x7dce94c85c298c4c), u64(0x7e031cfd3999f7b0),
		u64(0x7e37e43c8800759c), u64(0x7e6ddd4baa009303), u64(0x7ea2aa4f4a405be2),
		u64(0x7ed754e31cd072da), u64(0x7f0d2a1be4048f90), u64(0x7f423a516e82d9ba),
		u64(0x7f76c8e5ca239029), u64(0x7fac7b1f3cac7433), u64(0x7fe1ccf385ebc8a0)]!
	// negative exp of 10 binary form
	neg_exp = [u64(0x3ff0000000000000), u64(0x3fb999999999999a), u64(0x3f847ae147ae147b),
		u64(0x3f50624dd2f1a9fc), u64(0x3f1a36e2eb1c432d), u64(0x3ee4f8b588e368f1),
		u64(0x3eb0c6f7a0b5ed8d), u64(0x3e7ad7f29abcaf48), u64(0x3e45798ee2308c3a),
		u64(0x3e112e0be826d695), u64(0x3ddb7cdfd9d7bdbb), u64(0x3da5fd7fe1796495),
		u64(0x3d719799812dea11), u64(0x3d3c25c268497682), u64(0x3d06849b86a12b9b),
		u64(0x3cd203af9ee75616), u64(0x3c9cd2b297d889bc), u64(0x3c670ef54646d497),
		u64(0x3c32725dd1d243ac), u64(0x3bfd83c94fb6d2ac), u64(0x3bc79ca10c924223),
		u64(0x3b92e3b40a0e9b4f), u64(0x3b5e392010175ee6), u64(0x3b282db34012b251),
		u64(0x3af357c299a88ea7), u64(0x3abef2d0f5da7dd9), u64(0x3a88c240c4aecb14),
		u64(0x3a53ce9a36f23c10), u64(0x3a1fb0f6be506019), u64(0x39e95a5efea6b347),
		u64(0x39b4484bfeebc2a0), u64(0x398039d665896880), u64(0x3949f623d5a8a733),
		u64(0x3914c4e977ba1f5c), u64(0x38e09d8792fb4c49), u64(0x38aa95a5b7f87a0f),
		u64(0x38754484932d2e72), u64(0x3841039d428a8b8f), u64(0x380b38fb9daa78e4),
		u64(0x37d5c72fb1552d83), u64(0x37a16c262777579c), u64(0x376be03d0bf225c7),
		u64(0x37364cfda3281e39), u64(0x3701d7314f534b61), u64(0x36cc8b8218854567),
		u64(0x3696d601ad376ab9), u64(0x366244ce242c5561), u64(0x362d3ae36d13bbce),
		u64(0x35f7624f8a762fd8), u64(0x35c2b50c6ec4f313), u64(0x358dee7a4ad4b81f),
		u64(0x3557f1fb6f10934c), u64(0x352327fc58da0f70), u64(0x34eea6608e29b24d),
		u64(0x34b8851a0b548ea4), u64(0x34839dae6f76d883), u64(0x344f62b0b257c0d2),
		u64(0x34191bc08eac9a41), u64(0x33e41633a556e1ce), u64(0x33b011c2eaabe7d8),
		u64(0x3379b604aaaca626), u64(0x3344919d5556eb52), u64(0x3310747ddddf22a8),
		u64(0x32da53fc9631d10d), u64(0x32a50ffd44f4a73d), u64(0x3270d9976a5d5297),
		u64(0x323af5bf109550f2), u64(0x32059165a6ddda5b), u64(0x31d1411e1f17e1e3),
		u64(0x319b9b6364f30304), u64(0x316615e91d8f359d), u64(0x3131ab20e472914a),
		u64(0x30fc45016d841baa), u64(0x30c69d9abe034955), u64(0x309217aefe690777),
		u64(0x305cf2b1970e7258), u64(0x3027288e1271f513), u64(0x2ff286d80ec190dc),
		u64(0x2fbda48ce468e7c7), u64(0x2f87b6d71d20b96c), u64(0x2f52f8ac174d6123),
		u64(0x2f1e5aacf2156838), u64(0x2ee8488a5b445360), u64(0x2eb36d3b7c36a91a),
		u64(0x2e7f152bf9f10e90), u64(0x2e48ddbcc7f40ba6), u64(0x2e13e497065cd61f),
		u64(0x2ddfd424d6faf031), u64(0x2da97683df2f268d), u64(0x2d745ecfe5bf520b),
		u64(0x2d404bd984990e6f), u64(0x2d0a12f5a0f4e3e5), u64(0x2cd4dbf7b3f71cb7),
		u64(0x2ca0aff95cc5b092), u64(0x2c6ab328946f80ea), u64(0x2c355c2076bf9a55),
		u64(0x2c0116805effaeaa), u64(0x2bcb5733cb32b111), u64(0x2b95df5ca28ef40d),
		u64(0x2b617f7d4ed8c33e), u64(0x2b2bff2ee48e0530), u64(0x2af665bf1d3e6a8d),
		u64(0x2ac1eaff4a98553d), u64(0x2a8cab3210f3bb95), u64(0x2a56ef5b40c2fc77),
		u64(0x2a225915cd68c9f9), u64(0x29ed5b561574765b), u64(0x29b77c44ddf6c516),
		u64(0x2982c9d0b1923745), u64(0x294e0fb44f50586e), u64(0x29180c903f7379f2),
		u64(0x28e33d4032c2c7f5), u64(0x28aec866b79e0cba), u64(0x2878a0522c7e7095),
		u64(0x2843b374f06526de), u64(0x280f8587e7083e30), u64(0x27d9379fec069826),
		u64(0x27a42c7ff0054685), u64(0x277023998cd10537), u64(0x2739d28f47b4d525),
		u64(0x2704a8729fc3ddb7), u64(0x26d086c219697e2c), u64(0x269a71368f0f3047),
		u64(0x2665275ed8d8f36c), u64(0x2630ec4be0ad8f89), u64(0x25fb13ac9aaf4c0f),
		u64(0x25c5a956e225d672), u64(0x2591544581b7dec2), u64(0x255bba08cf8c979d),
		u64(0x25262e6d72d6dfb0), u64(0x24f1bebdf578b2f4), u64(0x24bc6463225ab7ec),
		u64(0x2486b6b5b5155ff0), u64(0x24522bc490dde65a), u64(0x241d12d41afca3c3),
		u64(0x23e7424348ca1c9c), u64(0x23b29b69070816e3), u64(0x237dc574d80cf16b),
		u64(0x2347d12a4670c123), u64(0x23130dbb6b8d674f), u64(0x22de7c5f127bd87e),
		u64(0x22a8637f41fcad32), u64(0x227382cc34ca2428), u64(0x223f37ad21436d0c),
		u64(0x2208f9574dcf8a70), u64(0x21d3faac3e3fa1f3), u64(0x219ff779fd329cb9),
		u64(0x216992c7fdc216fa), u64(0x2134756ccb01abfb), u64(0x21005df0a267bcc9),
		u64(0x20ca2fe76a3f9475), u64(0x2094f31f8832dd2a), u64(0x2060c27fa028b0ef),
		u64(0x202ad0cc33744e4b), u64(0x1ff573d68f903ea2), u64(0x1fc1297872d9cbb5),
		u64(0x1f8b758d848fac55), u64(0x1f55f7a46a0c89dd), u64(0x1f2192e9ee706e4b),
		u64(0x1eec1e43171a4a11), u64(0x1eb67e9c127b6e74), u64(0x1e81fee341fc585d),
		u64(0x1e4ccb0536608d61), u64(0x1e1708d0f84d3de7), u64(0x1de26d73f9d764b9),
		u64(0x1dad7becc2f23ac2), u64(0x1d779657025b6235), u64(0x1d42deac01e2b4f7),
		u64(0x1d0e3113363787f2), u64(0x1cd8274291c6065b), u64(0x1ca3529ba7d19eaf),
		u64(0x1c6eea92a61c3118), u64(0x1c38bba884e35a7a), u64(0x1c03c9539d82aec8),
		u64(0x1bcfa885c8d117a6), u64(0x1b99539e3a40dfb8), u64(0x1b6442e4fb671960),
		u64(0x1b303583fc527ab3), u64(0x1af9ef3993b72ab8), u64(0x1ac4bf6142f8eefa),
		u64(0x1a90991a9bfa58c8), u64(0x1a5a8e90f9908e0d), u64(0x1a253eda614071a4),
		u64(0x19f0ff151a99f483), u64(0x19bb31bb5dc320d2), u64(0x1985c162b168e70e),
		u64(0x1951678227871f3e), u64(0x191bd8d03f3e9864), u64(0x18e6470cff6546b6),
		u64(0x18b1d270cc51055f), u64(0x187c83e7ad4e6efe), u64(0x1846cfec8aa52598),
		u64(0x18123ff06eea847a), u64(0x17dd331a4b10d3f6), u64(0x17a75c1508da432b),
		u64(0x1772b010d3e1cf56), u64(0x173de6815302e556), u64(0x1707eb9aa8cf1dde),
		u64(0x16d322e220a5b17e), u64(0x169e9e369aa2b597), u64(0x16687e92154ef7ac),
		u64(0x16339874ddd8c623), u64(0x15ff5a549627a36c), u64(0x15c91510781fb5f0),
		u64(0x159410d9f9b2f7f3), u64(0x15600d7b2e28c65c), u64(0x1529af2b7d0e0a2d),
		u64(0x14f48c22ca71a1bd), u64(0x14c0701bd527b498), u64(0x148a4cf9550c5426),
		u64(0x14550a6110d6a9b8), u64(0x1420d51a73deee2d), u64(0x13eaee90b964b047),
		u64(0x13b58ba6fab6f36c), u64(0x13813c85955f2923), u64(0x134b9408eefea839),
		u64(0x1316100725988694), u64(0x12e1a66c1e139edd), u64(0x12ac3d79c9b8fe2e),
		u64(0x12769794a160cb58), u64(0x124212dd4de70913), u64(0x120ceafbafd80e85),
		u64(0x11d72262f3133ed1), u64(0x11a281e8c275cbda), u64(0x116d9ca79d89462a),
		u64(0x1137b08617a104ee), u64(0x1102f39e794d9d8b), u64(0x10ce5297287c2f45),
		u64(0x1098421286c9bf6b), u64(0x1063680ed23aff89), u64(0x102f0ce4839198db),
		u64(0x0ff8d71d360e13e2), u64(0x0fc3df4a91a4dcb5), u64(0x0f8fcbaa82a16121),
		u64(0x0f596fbb9bb44db4), u64(0x0f245962e2f6a490), u64(0x0ef047824f2bb6da),
		u64(0x0eba0c03b1df8af6), u64(0x0e84d6695b193bf8), u64(0x0e50ab877c142ffa),
		u64(0x0e1aac0bf9b9e65c), u64(0x0de5566ffafb1eb0), u64(0x0db111f32f2f4bc0),
		u64(0x0d7b4feb7eb212cd), u64(0x0d45d98932280f0a), u64(0x0d117ad428200c08),
		u64(0x0cdbf7b9d9cce00d), u64(0x0ca65fc7e170b33e), u64(0x0c71e6398126f5cb),
		u64(0x0c3ca38f350b22df), u64(0x0c06e93f5da2824c), u64(0x0bd25432b14ecea3),
		u64(0x0b9d53844ee47dd1), u64(0x0b677603725064a8), u64(0x0b32c4cf8ea6b6ec),
		u64(0x0afe07b27dd78b14), u64(0x0ac8062864ac6f43), u64(0x0a9338205089f29c),
		u64(0x0a5ec033b40fea93), u64(0x0a2899c2f6732210), u64(0x09f3ae3591f5b4d9),
		u64(0x09bf7d228322baf5), u64(0x098930e868e89591), u64(0x0954272053ed4474),
		u64(0x09201f4d0ff10390), u64(0x08e9cbae7fe805b3), u64(0x08b4a2f1ffecd15c),
		u64(0x0880825b3323dab0), u64(0x084a6a2b85062ab3), u64(0x081521bc6a6b555c),
		u64(0x07e0e7c9eebc444a), u64(0x07ab0c764ac6d3a9), u64(0x0775a391d56bdc87),
		u64(0x07414fa7ddefe3a0), u64(0x070bb2a62fe638ff), u64(0x06d62884f31e93ff),
		u64(0x06a1ba03f5b21000), u64(0x066c5cd322b67fff), u64(0x0636b0a8e891ffff),
		u64(0x060226ed86db3333), u64(0x05cd0b15a491eb84), u64(0x05973c115074bc6a),
		u64(0x05629674405d6388), u64(0x052dbd86cd6238d9), u64(0x04f7cad23de82d7b),
		u64(0x04c308a831868ac9), u64(0x048e74404f3daadb), u64(0x04585d003f6488af),
		u64(0x04237d99cc506d59), u64(0x03ef2f5c7a1a488e), u64(0x03b8f2b061aea072),
		u64(0x0383f559e7bee6c1), u64(0x034feef63f97d79c), u64(0x03198bf832dfdfb0),
		u64(0x02e46ff9c24cb2f3), u64(0x02b059949b708f29), u64(0x027a28edc580e50e),
		u64(0x0244ed8b04671da5), u64(0x0210be08d0527e1d), u64(0x01dac9a7b3b7302f),
		u64(0x01a56e1fc2f8f359), u64(0x017124e63593f5e1), u64(0x013b6e3d22865634),
		u64(0x0105f1ca820511c3), u64(0x00d18e3b9b374169), u64(0x009c16c5c5253575),
		u64(0x0066789e3750f791), u64(0x0031fa182c40c60d), u64(0x000730d67819e8d2),
		u64(0x0000b8157268fdaf), u64(0x000012688b70e62b), u64(0x000001d74124e3d1),
		u64(0x0000002f201d49fb), u64(0x00000004b6695433), u64(0x0000000078a42205),
		u64(0x000000000c1069cd), u64(0x000000000134d761), u64(0x00000000001ee257),
		u64(0x00000000000316a2), u64(0x0000000000004f10), u64(0x00000000000007e8),
		u64(0x00000000000000ca), u64(0x0000000000000014), u64(0x0000000000000002)]!
)