257 lines
20 KiB
Markdown
257 lines
20 KiB
Markdown
<!--
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@license Apache-2.0
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Copyright (c) 2021 The Stdlib Authors.
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Licensed under the Apache License, Version 2.0 (the "License");
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you may not use this file except in compliance with the License.
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You may obtain a copy of the License at
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http://www.apache.org/licenses/LICENSE-2.0
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Unless required by applicable law or agreed to in writing, software
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distributed under the License is distributed on an "AS IS" BASIS,
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WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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See the License for the specific language governing permissions and
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limitations under the License.
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-->
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# Constants
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> Double-precision floating-point mathematical constants.
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<section class="usage">
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## Usage
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```javascript
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var constants = require( '@stdlib/constants/float64' );
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```
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#### constants
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Double-precision floating-point mathematical constants.
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```javascript
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var c = constants;
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// returns {...}
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```
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<!-- <toc pattern="*" > -->
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<div class="namespace-toc">
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- <span class="signature">[`APERY`][@stdlib/constants/float64/apery]</span><span class="delimiter">: </span><span class="description">Apéry's constant.</span>
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- <span class="signature">[`CATALAN`][@stdlib/constants/float64/catalan]</span><span class="delimiter">: </span><span class="description">Catalan's constant.</span>
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- <span class="signature">[`CBRT_EPS`][@stdlib/constants/float64/cbrt-eps]</span><span class="delimiter">: </span><span class="description">cube root of double-precision floating-point epsilon.</span>
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- <span class="signature">[`E`][@stdlib/constants/float64/e]</span><span class="delimiter">: </span><span class="description">the mathematical constant _e_.</span>
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- <span class="signature">[`EPS`][@stdlib/constants/float64/eps]</span><span class="delimiter">: </span><span class="description">difference between one and the smallest value greater than one that can be represented as a double-precision floating-point number.</span>
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- <span class="signature">[`EULERGAMMA`][@stdlib/constants/float64/eulergamma]</span><span class="delimiter">: </span><span class="description">the Euler-Mascheroni constant.</span>
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- <span class="signature">[`EXPONENT_BIAS`][@stdlib/constants/float64/exponent-bias]</span><span class="delimiter">: </span><span class="description">the bias of a double-precision floating-point number's exponent.</span>
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- <span class="signature">[`FOURTH_PI`][@stdlib/constants/float64/fourth-pi]</span><span class="delimiter">: </span><span class="description">one fourth times the mathematical constant π.</span>
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- <span class="signature">[`FOURTH_ROOT_EPS`][@stdlib/constants/float64/fourth-root-eps]</span><span class="delimiter">: </span><span class="description">fourth root of double-precision floating-point epsilon.</span>
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- <span class="signature">[`GAMMA_LANCZOS_G`][@stdlib/constants/float64/gamma-lanczos-g]</span><span class="delimiter">: </span><span class="description">arbitrary constant `g` to be used in Lanczos approximation functions.</span>
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- <span class="signature">[`GLAISHER`][@stdlib/constants/float64/glaisher-kinkelin]</span><span class="delimiter">: </span><span class="description">Glaisher-Kinkelin constant.</span>
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- <span class="signature">[`HALF_LN2`][@stdlib/constants/float64/half-ln-two]</span><span class="delimiter">: </span><span class="description">one half times the natural logarithm of 2.</span>
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- <span class="signature">[`HALF_PI`][@stdlib/constants/float64/half-pi]</span><span class="delimiter">: </span><span class="description">one half times the mathematical constant π.</span>
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- <span class="signature">[`HIGH_WORD_EXPONENT_MASK`][@stdlib/constants/float64/high-word-exponent-mask]</span><span class="delimiter">: </span><span class="description">high word mask for the exponent of a double-precision floating-point number.</span>
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- <span class="signature">[`HIGH_WORD_SIGNIFICAND_MASK`][@stdlib/constants/float64/high-word-significand-mask]</span><span class="delimiter">: </span><span class="description">high word mask for the significand of a double-precision floating-point number.</span>
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- <span class="signature">[`LN_HALF`][@stdlib/constants/float64/ln-half]</span><span class="delimiter">: </span><span class="description">natural logarithm of `1/2`.</span>
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- <span class="signature">[`LN_PI`][@stdlib/constants/float64/ln-pi]</span><span class="delimiter">: </span><span class="description">natural logarithm of the mathematical constant π.</span>
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- <span class="signature">[`LN_SQRT_TWO_PI`][@stdlib/constants/float64/ln-sqrt-two-pi]</span><span class="delimiter">: </span><span class="description">natural logarithm of the square root of 2π.</span>
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- <span class="signature">[`LN10`][@stdlib/constants/float64/ln-ten]</span><span class="delimiter">: </span><span class="description">natural logarithm of `10`.</span>
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- <span class="signature">[`LN_TWO_PI`][@stdlib/constants/float64/ln-two-pi]</span><span class="delimiter">: </span><span class="description">natural logarithm of `2π`.</span>
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- <span class="signature">[`LN2`][@stdlib/constants/float64/ln-two]</span><span class="delimiter">: </span><span class="description">natural logarithm of `2`.</span>
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- <span class="signature">[`LOG10E`][@stdlib/constants/float64/log10-e]</span><span class="delimiter">: </span><span class="description">base 10 logarithm of the mathematical constant _e_.</span>
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- <span class="signature">[`LOG2E`][@stdlib/constants/float64/log2-e]</span><span class="delimiter">: </span><span class="description">base 2 logarithm of the mathematical constant _e_.</span>
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- <span class="signature">[`MAX_BASE10_EXPONENT_SUBNORMAL`][@stdlib/constants/float64/max-base10-exponent-subnormal]</span><span class="delimiter">: </span><span class="description">the maximum base 10 exponent for a subnormal double-precision floating-point number.</span>
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- <span class="signature">[`MAX_BASE10_EXPONENT`][@stdlib/constants/float64/max-base10-exponent]</span><span class="delimiter">: </span><span class="description">the maximum base 10 exponent for a double-precision floating-point number.</span>
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- <span class="signature">[`MAX_BASE2_EXPONENT_SUBNORMAL`][@stdlib/constants/float64/max-base2-exponent-subnormal]</span><span class="delimiter">: </span><span class="description">the maximum biased base 2 exponent for a subnormal double-precision floating-point number.</span>
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- <span class="signature">[`MAX_BASE2_EXPONENT`][@stdlib/constants/float64/max-base2-exponent]</span><span class="delimiter">: </span><span class="description">the maximum biased base 2 exponent for a double-precision floating-point number.</span>
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- <span class="signature">[`MAX_LN`][@stdlib/constants/float64/max-ln]</span><span class="delimiter">: </span><span class="description">natural logarithm of the maximum double-precision floating-point number.</span>
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- <span class="signature">[`MAX_SAFE_FIBONACCI`][@stdlib/constants/float64/max-safe-fibonacci]</span><span class="delimiter">: </span><span class="description">maximum safe Fibonacci number when stored in double-precision floating-point format.</span>
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- <span class="signature">[`MAX_SAFE_INTEGER`][@stdlib/constants/float64/max-safe-integer]</span><span class="delimiter">: </span><span class="description">maximum safe double-precision floating-point integer.</span>
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- <span class="signature">[`MAX_SAFE_LUCAS`][@stdlib/constants/float64/max-safe-lucas]</span><span class="delimiter">: </span><span class="description">maximum safe Lucas number when stored in double-precision floating-point format.</span>
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- <span class="signature">[`MAX_SAFE_NTH_FIBONACCI`][@stdlib/constants/float64/max-safe-nth-fibonacci]</span><span class="delimiter">: </span><span class="description">maximum safe nth Fibonacci number when stored in double-precision floating-point format.</span>
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- <span class="signature">[`MAX_SAFE_NTH_LUCAS`][@stdlib/constants/float64/max-safe-nth-lucas]</span><span class="delimiter">: </span><span class="description">maximum safe nth Lucas number when stored in double-precision floating-point format.</span>
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- <span class="signature">[`MAX`][@stdlib/constants/float64/max]</span><span class="delimiter">: </span><span class="description">maximum double-precision floating-point number.</span>
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- <span class="signature">[`MIN_BASE10_EXPONENT_SUBNORMAL`][@stdlib/constants/float64/min-base10-exponent-subnormal]</span><span class="delimiter">: </span><span class="description">the minimum base 10 exponent for a subnormal double-precision floating-point number.</span>
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- <span class="signature">[`MIN_BASE10_EXPONENT`][@stdlib/constants/float64/min-base10-exponent]</span><span class="delimiter">: </span><span class="description">the minimum base 10 exponent for a normal double-precision floating-point number.</span>
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- <span class="signature">[`MIN_BASE2_EXPONENT_SUBNORMAL`][@stdlib/constants/float64/min-base2-exponent-subnormal]</span><span class="delimiter">: </span><span class="description">the minimum biased base 2 exponent for a subnormal double-precision floating-point number.</span>
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- <span class="signature">[`MIN_BASE2_EXPONENT`][@stdlib/constants/float64/min-base2-exponent]</span><span class="delimiter">: </span><span class="description">the minimum biased base 2 exponent for a normal double-precision floating-point number.</span>
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- <span class="signature">[`MIN_LN`][@stdlib/constants/float64/min-ln]</span><span class="delimiter">: </span><span class="description">natural logarithm of the smallest **normalized** double-precision floating-point number.</span>
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- <span class="signature">[`MIN_SAFE_INTEGER`][@stdlib/constants/float64/min-safe-integer]</span><span class="delimiter">: </span><span class="description">minimum safe double-precision floating-point integer.</span>
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- <span class="signature">[`NINF`][@stdlib/constants/float64/ninf]</span><span class="delimiter">: </span><span class="description">double-precision floating-point negative infinity.</span>
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- <span class="signature">[`NUM_BYTES`][@stdlib/constants/float64/num-bytes]</span><span class="delimiter">: </span><span class="description">size (in bytes) of a double-precision floating-point number.</span>
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- <span class="signature">[`PHI`][@stdlib/constants/float64/phi]</span><span class="delimiter">: </span><span class="description">golden ratio.</span>
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- <span class="signature">[`PI_SQUARED`][@stdlib/constants/float64/pi-squared]</span><span class="delimiter">: </span><span class="description">π².</span>
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- <span class="signature">[`PI`][@stdlib/constants/float64/pi]</span><span class="delimiter">: </span><span class="description">the mathematical constant π.</span>
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- <span class="signature">[`PINF`][@stdlib/constants/float64/pinf]</span><span class="delimiter">: </span><span class="description">double-precision floating-point positive infinity.</span>
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- <span class="signature">[`PRECISION`][@stdlib/constants/float64/precision]</span><span class="delimiter">: </span><span class="description">effective number of bits in the significand of a double-precision floating-point number.</span>
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- <span class="signature">[`SMALLEST_NORMAL`][@stdlib/constants/float64/smallest-normal]</span><span class="delimiter">: </span><span class="description">smallest positive **normalized** double-precision floating-point number.</span>
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- <span class="signature">[`SMALLEST_SUBNORMAL`][@stdlib/constants/float64/smallest-subnormal]</span><span class="delimiter">: </span><span class="description">smallest positive **denormalized** double-precision floating-point number.</span>
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- <span class="signature">[`SQRT_EPS`][@stdlib/constants/float64/sqrt-eps]</span><span class="delimiter">: </span><span class="description">square root of double-precision floating-point epsilon.</span>
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- <span class="signature">[`SQRT_HALF_PI`][@stdlib/constants/float64/sqrt-half-pi]</span><span class="delimiter">: </span><span class="description">square root of the mathematical constant π divided by 2.</span>
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- <span class="signature">[`SQRT_HALF`][@stdlib/constants/float64/sqrt-half]</span><span class="delimiter">: </span><span class="description">square root of `1/2`.</span>
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- <span class="signature">[`SQRT_PHI`][@stdlib/constants/float64/sqrt-phi]</span><span class="delimiter">: </span><span class="description">square root of the Golden ratio (φ).</span>
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- <span class="signature">[`SQRT_PI`][@stdlib/constants/float64/sqrt-pi]</span><span class="delimiter">: </span><span class="description">square root of the mathematical constant π.</span>
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- <span class="signature">[`SQRT_THREE`][@stdlib/constants/float64/sqrt-three]</span><span class="delimiter">: </span><span class="description">square root of `3`.</span>
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- <span class="signature">[`SQRT_TWO_PI`][@stdlib/constants/float64/sqrt-two-pi]</span><span class="delimiter">: </span><span class="description">square root of the mathematical constant π times 2.</span>
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- <span class="signature">[`SQRT_TWO`][@stdlib/constants/float64/sqrt-two]</span><span class="delimiter">: </span><span class="description">square root of `2`.</span>
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- <span class="signature">[`TWO_PI`][@stdlib/constants/float64/two-pi]</span><span class="delimiter">: </span><span class="description">the mathematical constant π times 2.</span>
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</div>
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<!-- </toc> -->
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</section>
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<!-- /.usage -->
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<section class="examples">
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## Examples
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<!-- TODO: better examples -->
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<!-- eslint no-undef: "error" -->
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```javascript
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var objectKeys = require( '@stdlib/utils/keys' );
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var constants = require( '@stdlib/constants/float64' );
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console.log( objectKeys( constants ) );
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```
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</section>
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<!-- /.examples -->
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<section class="links">
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<!-- <toc-links> -->
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[@stdlib/constants/float64/apery]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/apery
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[@stdlib/constants/float64/catalan]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/catalan
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[@stdlib/constants/float64/cbrt-eps]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/cbrt-eps
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[@stdlib/constants/float64/e]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/e
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[@stdlib/constants/float64/eps]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/eps
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[@stdlib/constants/float64/eulergamma]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/eulergamma
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[@stdlib/constants/float64/exponent-bias]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/exponent-bias
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[@stdlib/constants/float64/fourth-pi]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/fourth-pi
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[@stdlib/constants/float64/fourth-root-eps]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/fourth-root-eps
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[@stdlib/constants/float64/gamma-lanczos-g]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/gamma-lanczos-g
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[@stdlib/constants/float64/glaisher-kinkelin]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/glaisher-kinkelin
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[@stdlib/constants/float64/half-ln-two]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/half-ln-two
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[@stdlib/constants/float64/half-pi]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/half-pi
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[@stdlib/constants/float64/high-word-exponent-mask]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/high-word-exponent-mask
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[@stdlib/constants/float64/high-word-significand-mask]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/high-word-significand-mask
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[@stdlib/constants/float64/ln-half]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/ln-half
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[@stdlib/constants/float64/ln-pi]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/ln-pi
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[@stdlib/constants/float64/ln-sqrt-two-pi]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/ln-sqrt-two-pi
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[@stdlib/constants/float64/ln-ten]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/ln-ten
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[@stdlib/constants/float64/ln-two-pi]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/ln-two-pi
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[@stdlib/constants/float64/ln-two]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/ln-two
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[@stdlib/constants/float64/log10-e]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/log10-e
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[@stdlib/constants/float64/log2-e]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/log2-e
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[@stdlib/constants/float64/max-base10-exponent-subnormal]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/max-base10-exponent-subnormal
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[@stdlib/constants/float64/max-base10-exponent]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/max-base10-exponent
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[@stdlib/constants/float64/max-base2-exponent-subnormal]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/max-base2-exponent-subnormal
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[@stdlib/constants/float64/max-base2-exponent]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/max-base2-exponent
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[@stdlib/constants/float64/max-ln]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/max-ln
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[@stdlib/constants/float64/max-safe-fibonacci]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/max-safe-fibonacci
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[@stdlib/constants/float64/max-safe-integer]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/max-safe-integer
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[@stdlib/constants/float64/max-safe-lucas]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/max-safe-lucas
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[@stdlib/constants/float64/max-safe-nth-fibonacci]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/max-safe-nth-fibonacci
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[@stdlib/constants/float64/max-safe-nth-lucas]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/max-safe-nth-lucas
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[@stdlib/constants/float64/max]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/max
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[@stdlib/constants/float64/min-base10-exponent-subnormal]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/min-base10-exponent-subnormal
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[@stdlib/constants/float64/min-base10-exponent]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/min-base10-exponent
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[@stdlib/constants/float64/min-base2-exponent-subnormal]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/min-base2-exponent-subnormal
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[@stdlib/constants/float64/min-base2-exponent]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/min-base2-exponent
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[@stdlib/constants/float64/min-ln]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/min-ln
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[@stdlib/constants/float64/min-safe-integer]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/min-safe-integer
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[@stdlib/constants/float64/ninf]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/ninf
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[@stdlib/constants/float64/num-bytes]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/num-bytes
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[@stdlib/constants/float64/phi]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/phi
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[@stdlib/constants/float64/pi-squared]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/pi-squared
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[@stdlib/constants/float64/pi]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/pi
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[@stdlib/constants/float64/pinf]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/pinf
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[@stdlib/constants/float64/precision]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/precision
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[@stdlib/constants/float64/smallest-normal]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/smallest-normal
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[@stdlib/constants/float64/smallest-subnormal]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/smallest-subnormal
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[@stdlib/constants/float64/sqrt-eps]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/sqrt-eps
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[@stdlib/constants/float64/sqrt-half-pi]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/sqrt-half-pi
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[@stdlib/constants/float64/sqrt-half]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/sqrt-half
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[@stdlib/constants/float64/sqrt-phi]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/sqrt-phi
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[@stdlib/constants/float64/sqrt-pi]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/sqrt-pi
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[@stdlib/constants/float64/sqrt-three]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/sqrt-three
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[@stdlib/constants/float64/sqrt-two-pi]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/sqrt-two-pi
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[@stdlib/constants/float64/sqrt-two]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/sqrt-two
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[@stdlib/constants/float64/two-pi]: https://www.npmjs.com/package/@stdlib/constants/tree/main/float64/two-pi
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<!-- </toc-links> -->
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