9bdcbe0447
Major integrations and fixes: - Added BACKBEAT SDK integration for P2P operation timing - Implemented beat-aware status tracking for distributed operations - Added Docker secrets support for secure license management - Resolved KACHING license validation via HTTPS/TLS - Updated docker-compose configuration for clean stack deployment - Disabled rollback policies to prevent deployment failures - Added license credential storage (CHORUS-DEV-MULTI-001) Technical improvements: - BACKBEAT P2P operation tracking with phase management - Enhanced configuration system with file-based secrets - Improved error handling for license validation - Clean separation of KACHING and CHORUS deployment stacks 🤖 Generated with [Claude Code](https://claude.ai/code) Co-Authored-By: Claude <noreply@anthropic.com>
41 lines
1.1 KiB
Go
41 lines
1.1 KiB
Go
// Copyright ©2016 The Gonum Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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package mathext
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import "gonum.org/v1/gonum/mathext/internal/gonum"
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// Beta returns the value of the complete beta function B(a, b). It is defined as
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//
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// Γ(a)Γ(b) / Γ(a+b)
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//
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// Special cases are:
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//
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// B(a,b) returns NaN if a or b is Inf
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// B(a,b) returns NaN if a and b are 0
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// B(a,b) returns NaN if a or b is NaN
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// B(a,b) returns NaN if a or b is < 0
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// B(a,b) returns +Inf if a xor b is 0.
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//
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// See http://mathworld.wolfram.com/BetaFunction.html for more detailed informations.
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func Beta(a, b float64) float64 {
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return gonum.Beta(a, b)
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}
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// Lbeta returns the natural logarithm of the complete beta function B(a,b).
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// Lbeta is defined as:
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//
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// Ln(Γ(a)Γ(b)/Γ(a+b))
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//
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// Special cases are:
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//
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// Lbeta(a,b) returns NaN if a or b is Inf
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// Lbeta(a,b) returns NaN if a and b are 0
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// Lbeta(a,b) returns NaN if a or b is NaN
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// Lbeta(a,b) returns NaN if a or b is < 0
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// Lbeta(a,b) returns +Inf if a xor b is 0.
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func Lbeta(a, b float64) float64 {
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return gonum.Lbeta(a, b)
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}
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